diff --git "a/data/dm_maths/full_data_1/11205_11255.jsonl" "b/data/dm_maths/full_data_1/11205_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11205_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the remainder when 2396 is divided by 109?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1394, 0.2, 0, 1.5, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -428372206*b*k*v**3 - 13879537*b*k*v**2 + b*v**2 + 11*k*v**2 wrt v?\nAnswer: -2570233236*b*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-69990)\/(-1110) + 6\/(-111) and 693?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qmrrwsqf. Give prob of picking 1 r and 1 f.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1011172 and -19\/30320?\nAnswer: 20223440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) + 57\/5. Let f = 5 + u. Suppose 6780*k - 6494*k - 3432 = 0. Calculate the smallest common multiple of k and f.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*m + 6, -6*h - m - 10 = -2*h. What is the tens digit of (6\/5)\/(h\/(-65))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 116. Let u = -0.05 - -0.05. Let r = u - -0.5. What is the closest to 3 in t, -0.4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393 (base 13) to base 11.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2033787?\nAnswer: 3, 7, 96847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 7, -24, 0, -89 in increasing order.\nAnswer: -89, -24, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 231 - 234. Put t, 1, 11 in decreasing order.\nAnswer: 11, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 32 - 1a89a5?\nAnswer: -1a8973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36497155 to the nearest integer?\nAnswer: 6041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -41, -81, -137, -209, -297?\n\"Answer: -8*c**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5db (base 15) to base 10\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -4*h + 7. Let a(g) = -2*g + 3. Suppose -7*j + 2*u = -2*j + 27, j + 4*u = -1. Calculate j*a(c) + 2*x(c).\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1 - -9) + (17 - (-9 + 24)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*f**4 + 136089*f**3 + 445*f.\nAnswer: 60*f**2 + 816534*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4141 + -3794. Solve -14*l + 263 = r for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*x**3 + 277*m*x**2 + 202*m*x + 4*m + 3*x**3 + 4*x**2 - 71*x + 7 wrt m.\nAnswer: -2*x**3 + 277*x**2 + 202*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -214.5.\nAnswer: 42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -174, -392, -760, -1278, -1946?\n\"Answer: -75*z**2 + 7*z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -220 - -365. Let q = 7 + -1. Calculate the remainder when 3\/((-15)\/4) + 8526\/d is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5\/469 + -673\/24857. Which is the second biggest value? (a) 4 (b) l (c) 0.4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -344*o**5 + 145*o**2 wrt o.\nAnswer: -20640*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.3, -5, -3, 6\/37 in decreasing order.\nAnswer: 6\/37, -1\/7, -0.3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*l - 70*l - 780. Put -2, 3, l in decreasing order.\nAnswer: 3, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44 + 42. Let h be a + 74\/10 - 6\/15. Solve 2 = h*m - 7*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from edzadzddrggg.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46187825 to the power of 1\/2, to the nearest integer?\nAnswer: 6796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 2\/23, 0.02.\nAnswer: -0.05, 0.02, 2\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 280*c + 235\/3*c**2 - 3920\/3 - 10*c**3 - 5\/3*c**4 = 0.\nAnswer: -7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-3)*2\/(-4). Suppose n = 3*a + 4*o - 153, 0*o + 6 = -2*o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t = -627*d + 630*d - 1 + 21, -d = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from blgbbbnbbggbbbng. What is prob of sequence llnl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 109*v**4\/24 - v**3\/2 - 8*v**2. Let g be p(1). Let t = g + -1164\/11. Sort -2, -0.02, t in descending order.\nAnswer: t, -0.02, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 2*i = i - 39, 4066*m + 33 = 4064*m - 5*i - 1 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 4*n + 515 = 6*l, 2*l + n = 193. Let s be (-168)\/196*7\/(-2). Suppose l*q**2 - s + 21*q**4 + 57*q + 75*q**3 + 1 + 14 = 0. Calculate q.\nAnswer: -1, -4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let x be -21 + 19 - (-42)\/17. Let d be 4\/(-6) + (-42)\/(-9). Suppose -d*q = -q. Is x greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -102 + -2?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 953 = -5*y - 272. Is 9 a factor of (y\/14)\/((-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 7:59 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26110 + -26111. Let q = -0.9 + 0.6. What is the closest to q in x, 0.05, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -4*r + 18, -j - 5*r = -0*r - 27. Suppose -2*x + 6 + 2 = -j*d, 2*x - 8 = 5*d. Suppose 5*p + 22 = l - d*l, 4*p = 4*l - 24. Is l a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*r = -230, 4*g + r = 9*g - 521. What is the remainder when 1851 is divided by g?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 - -82. Which is the nearest to -3? (a) -0.5 (b) -0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 196772532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -54.7. Let l = -6.3 - b. Which is smaller: -0.04 or l?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 5927398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -162414 (base 16) to base 14.\nAnswer: -29ab2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 2*x**2 - x - 147. Let w be o(0). Let v = w + 2791\/19. What is the nearest to -1 in 0.022, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12403 and 303?\nAnswer: 3758109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 108742 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: Divide -621 by 1944137.\nAnswer: -621\/1944137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5451600*q**3 + 4221164?\nAnswer: 16354800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 16*j - 2. Let o = 10 - 3. Suppose 3*r = -6*c + 3*c + 3, o = 5*c + 3*r. Let b be i(c). Calculate the highest common divisor of 12 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/281, 0.2, -19?\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**5\/90 + 7*d**4\/18 + 49*d**3\/9 + 6*d**2 + 2. Factor y(j).\nAnswer: 2*(j + 7)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23927153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177 and 6744.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 19 = -15. Solve -j*z + 4*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 40 = -5*s, 5*h - 62 = 5*s - 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -5, 69, 249, 571, 1071, 1785?\nAnswer: 2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k - 2. Let h(d) = -d. Let z be h(8). Let a be (-12)\/(-48) - (-50)\/z. List the prime factors of s(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 26*o**4 + 600*o**3\/7 + 98*o**2 + 300*o\/7 + 32\/7 = 0?\nAnswer: -8\/7, -1, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.9, 35, -15462 in decreasing order.\nAnswer: 35, 0.9, -15462","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 7:57 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3322, -2, 27, -3, 4 in increasing order.\nAnswer: -3, -2, 4, 27, 3322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h**2 + 3053*h**3 - 425911 + 425911 + 5*h**2.\nAnswer: 3053*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from rrrrdrddrdrrrrrrdr?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15299900?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/20*-2 + 0. Suppose 0 = 2*g + 4*q + 12 + 16, 0 = -3*q - 15. Let j(i) = i**3 + 4*i**2 + 1. Let r be j(g). Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 17*n**3 + 3*n**2 - 8*n - 22. Let i(c) = 48*c**3 + 10*c**2 - 24*c - 64. Let q(d) = 6*i(d) - 17*w(d). Give q(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 2751?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 48. Let n be c(-21). Calculate the greatest common factor of 46 and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 6*m**2 - 3*m. Give s(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 54 - 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1)*2\/(-2). Let v be (60\/6)\/1 - 1. Suppose -v*t - p = -8*t. Let y(q) = -q + 1. What is y(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/((-123)\/(-2))*(-3)\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 23, 29, 35?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10099 and -49645.\nAnswer: -39546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -13 - 11*u**2 - 7*u**2 + 17*u**2 + 134*u - 152*u. Determine x(-12).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5358 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -263, -533, -807, -1085, -1367, -1653, -1943?\n\"Answer: -2*g**2 - 264*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 20*h**2 - 30*h - 164. Let o be b(-5). What is the highest common factor of 12 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllfoloofqqlllllolfq. What is prob of picking 1 f and 2 q?\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:57 PM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0201816 rounded to four decimal places?\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -229, 0.3, -4\/7, 2\/5, -0.2, -38?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14630 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 955?\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370114323.\nAnswer: 3, 123371441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*d + 2*t = 3*t + 36, 22*t - 29*t + 53 = 5*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47228 + -310?\nAnswer: 46a18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*b - 1 + 440*b + 454*b**2 - 888*b.\nAnswer: 454*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -327506 + 17506. What is v rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 56 = 4*x - 4*c, -3*x = 2*c + 27. Calculate the common denominator of 5\/11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**2 + 4*d - 3. Let k be w(-8). Let a = -98 - k. Suppose 13*n - a = 8*n. Solve 3*g + 2*q + 17 = 0, 2*g - 2*q = 5 - n for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39227297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -105387420 divided by -831?\nAnswer: 126820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94127260.\nAnswer: 2, 5, 37, 311, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxkkkkxxxxkx. Give prob of sequence kxxk.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from veyvyeiykkkkykrvivek. Give prob of sequence kikk.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**7\/175 - 49*g**6\/150 + 101*g**5\/450 + 11*g**4\/30 + 25*g**2 + 2*g. Suppose k(s) = 0. Calculate s.\nAnswer: -33, -1\/3, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 t, and 2 h when four letters picked without replacement from {t: 2, k: 5, h: 3, f: 5, g: 5}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 1. Let r = 453 + -459. Suppose 0 = 3*d + 2*d - 10. Let k(x) = 2*x + 2. Determine d*k(q) + r*g(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 109083636 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 214631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 11) to base 8\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 18*c + 16 = 0. What is the nearest to -2 in -3, c, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1216966 = -o - 1216972, 46*b + 276 = 4*o for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -0*b. Suppose b = -6*y + 4*y + 8. Solve 3*k + w + 4 = 0, -y*w = 4*k - 2*w + 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 26. Let h(k) = -k**2 + 6*k. Let f(q) = -2*q - 1. Let a be f(-3). Let s be h(a). What is the greatest common factor of d and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.51657 and 0.008.\nAnswer: -0.00413256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 167*r + 3 + 555*r - 14*r to k*r + w and give k.\nAnswer: 708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 18*i + 54037. Is g(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 + -11. What is the second derivative of -r*s**4 - 6*s**4 - 5*s + 9*s**4 wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k. Let b(p) = 0*p + 3 - 36661*p**2 + 0*p + 36664*p**2. Calculate x(b(r)).\nAnswer: 3*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 4, -13, -195, 1, 32, 5 in increasing order.\nAnswer: -195, -13, -9, 1, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 37200000 to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**5 + 75*j**4 - 729*j**3 + 3429*j**2 - 7776*j + 6804 = 0.\nAnswer: 3, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 150\/(-15) - (8 - (26 - 6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-39)\/(c*((c\/c**(-13\/4))\/c*c)\/c*c*c))\/(c**(-1\/9)*c**(21\/8)))**(1\/33) assuming c is positive.\nAnswer: c**(-3439\/2376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + 119 + -151 + (-31 - 2).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-2))\/s**(1\/9) assuming s is positive.\nAnswer: s**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -43. Let o be (-1 - 102\/(-174)) + q. Which is bigger: o or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(3\/7))\/k**(-7))**(-4\/21) assuming k is positive.\nAnswer: k**(-236\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1)*9\/6. Suppose -198 = -s - z*s + 2*l, 51 = s + l. Suppose -4 = -0*b - 2*b + 2*f, -5*b = 5*f - s. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 274 divide 801490004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 + 1. Let i(g) = g + 1. Let r be i(-1). Suppose 8 = -r*t + 2*t. Let u(j) = -j**2 + j. Let z(f) = t*u(f) - d(f). What is z(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77.23 - -72.23. What is the nearest to 3 in 0.01, a, -0.04?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 680.908 + -0.3.\nAnswer: 680.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 2*g**2 + 63*g - 5*g + 0*g**2.\nAnswer: 5*g**2 + 58*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 23. Let l be z(11). What is the closest to -0.1 in 2\/5, 2, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*z - 2)*(2*z**2 + 5*z**2 - 4*z**2)*(17 - 25 + 23).\nAnswer: -90*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/5, -1\/4, 166, 25.6, -0.09?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -155, -2, -1, -18489.\nAnswer: -18489, -155, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k**4\/11 - 10*k**3\/11 - 16*k**2\/11 + 34*k\/11 - 12\/11 = 0. Calculate k.\nAnswer: -2, 1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40*-0.0158157.\nAnswer: 0.632628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 1699920?\nAnswer: 1699920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.4622 to 2 decimal places.\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-1)*k*k)**(-22)*(k\/(k**(-7)*k))\/(k*k\/(k**(2\/9)\/k)*k) assuming k is positive.\nAnswer: k**(-565\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 1 = 3*l. Suppose -l = o - 11. Solve -o*k + y - 5 + 15 = 0, 0 = 2*y + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/20168 and 56\/63025?\nAnswer: 504200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(65) - (-4*(-2*sqrt(65) - sqrt(65)) + sqrt(65)))\/sqrt(5) + 3) - (sqrt(832)*2 + sqrt(468)*1 + 0)**2.\nAnswer: -6280 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 0*u + 14 = 4*u, 65*m - 2*u + 12 = 68*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 24 = -31. Suppose -51 + n = 2*v. Find the common denominator of (13 - 11)\/(v\/122) and -46\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 - 81*a**2 + 174*a**2 - a**3 + a - 94*a**2 - 505*a**4 - 1 - 2 to m + u*a**3 + d*a + o*a**2 + l*a**4 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 814.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-10))\/1 - 2\/5. Which is the third biggest value? (a) -4\/5 (b) 4 (c) 0.03 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0415669001 to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**5\/60 - 5*w**4\/8 + w**3\/2 + 23*w**2. Let c be k(-15). What is the derivative of 22*g - 1 - c + 0 - 6 wrt g?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-2))\/(2704\/(-104))?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 1655.\nAnswer: 3\/1655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/8)\/(3\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/11))**38*o**2\/o*o**(2\/11))**28 assuming o is positive.\nAnswer: o**420","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a - 581. Determine o(48).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -207760 divided by -6?\nAnswer: 103880\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -74*c + 48. What is the tens digit of h(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 220 by 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (34482\/(-13957))\/(54\/(-34))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 388 and 34.\nAnswer: 6596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -154204\/37697 - 1\/3427. Let o = -3861\/4 + 27229\/28. Find the common denominator of o and n.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + 104. Suppose -787 = -512*k + 510*k + 5*q, 0 = 2*k - 3*q - 789. What is the highest common divisor of k and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 668 divided by -4.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(1\/4)*c**(-8)*c*c*c\/((c\/((c\/c**(4\/9))\/c))\/c)*c*c\/((c*c*c*c*c**1*c)\/c*c)*c assuming c is positive.\nAnswer: c**(-277\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*p**2 + 9*p**2 - 37*p**2 + 7*p**2 + 14*p**2.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 6. Let l be b(6). Suppose l = f - 4*n - 15 + 6, -2*f + 9 = n. Suppose f*q - 40 + 15 = 0. Let a(g) = g**2 - 5*g + 6. Calculate a(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -5*s**3 - 193285*s**2 + 15689720*s + 32152540 = 0?\nAnswer: -38738, -2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -46, -20, 36, 134, 286?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -690\/103 - -1679944\/250805. Is a not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -31606 and -31605 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -107. Let i(h) = 5*h + 115 - f - 4*h. Suppose 0 = -4*q - 4*k - k - 34, -2*q = 4*k + 20. What is i(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**4 + 3*k**3 - 3*k + 57. Let p(s) = 2*s**4 + 5*s**3 - 5*s + 114. Let c(g) = 5*n(g) - 3*p(g). Find the first derivative of c(z) wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -7*p**6\/3 - 32*p**5\/5 + 3*p**4\/2 + 32*p**3\/3 + 4*p**2 + 1. Let c(b) = 0. Calculate b.\nAnswer: -2, -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13097 + -218653.\nAnswer: -205556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(425) + 2 + -5)**2 + ((sqrt(2448) - -1*sqrt(2448)) + -2 + 1 + sqrt(17))**2.\nAnswer: -30*sqrt(17) + 11055","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 665118 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 9, f: 2}. What is prob of sequence tft?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1\/27, -1.02, -2, 0, 0.1, -5 in increasing order.\nAnswer: -5, -2, -1.02, 0, 1\/27, 0.1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.2387+-1.3246791\nAnswer: -1.5633791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 127 + 305. Let y = 201 - v. List the prime factors of y.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*w - 5*c - 36, 35 = 4*w + 5*c. Let g = -6 + w. Suppose g*p = p - 141000. What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.06 (b) 3 (c) -2 (d) -1.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31816461 times 0.5?\nAnswer: -15908230.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -21*f**5 + 7*f**4 + 9*f**2 - 6*f + 6. Let x(w) = -w**4 + w - 1. Let m(u) = -v(u) - 6*x(u). What is the third derivative of m(p) wrt p?\nAnswer: 1260*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**5)\/n*n*n))\/((n**(-2\/7)*n)\/n))**33*(n**(-1\/3)\/(n\/(n\/((n**(1\/6)*n*n)\/n))))\/((n\/n**1)\/n)**(2\/19) assuming n is positive.\nAnswer: n**(37249\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.8 + -0.8. Let m = -3.1 + 3. Let v = 1 - 0.8. What is the third biggest value in m, v, s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -66 + 70. Sort -7, -2, r in increasing order.\nAnswer: -7, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/20)\/(2\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2725 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -3 + -4 + (1 - 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.2 + 1.1. Let c = 3.1 - 2.8. What is the nearest to f in c, -2\/7, -3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 34 - 4. Let s(h) = 3*h + 15. Let i(z) = -2*z - 8. Let o(d) = 5*i(d) + 3*s(d). What is o(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 7) to base 4.\nAnswer: -2210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5944 * 13.\nAnswer: -77272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 121320 and 480.\nAnswer: 485280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1508 and 7076?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 128 + -7 + (144 - 193)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75 and 210?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27))**2 + 5 + 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2210544*l - 48 + 2*l**4 + 2210266*l - 42*l**3 + 168 + 198*l**2 = 0.\nAnswer: 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*n - 462 = -86*n. Let d = -47 + 6031. List the prime factors of d\/n + 4\/(-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebaa when four letters picked without replacement from {b: 10, z: 5, e: 1, a: 4}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a meter in micrometers?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 190 and 8?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63716 is divided by 90.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -21. Factor 3*p**f + p + 2*p**3 + 14 - 14.\nAnswer: p*(p + 1)*(2*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -545898*g**2 + 268810*g wrt g.\nAnswer: -1091796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9471667 - 9471667 + 53*s.\nAnswer: 53*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16090183 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 10*x = -12. Suppose m - 6 = x*m. Let d = 7 + m. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561 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: Let s(m) = m**3 - 4*m**2 - m + 1. Suppose -2*y = 2*y + 5*o - 27, -4*y + 6 = -2*o. Suppose 0 = 3*h + y - 12. Calculate s(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, g: 11}. What is prob of sequence gg?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -5*a - 97. Suppose -o + 220 + 324 = 4*s, a = -3*o. Is 34 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 + 0.1. Let k = -16 + 20. What is the nearest to 1 in k, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n - 8. Let d be i(13). Let m(q) = -1 + 60*q**2 - 66*q**2 + 3*q + q**3 + 11. Let j be m(d). Solve 4*c + 0*c - 16 = j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221099121 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 14*h. Let r(c) = 6579*c**2. What is v(r(l))?\nAnswer: 92106*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12871 = 9*q - 8513. What is the remainder when q\/45 - 2\/(-10) is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/2 - 37*q\/2 - 80.\nAnswer: -(q + 5)*(q + 32)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 36664838*g**2*h**3 - 743604193*g**2 - 5*h**3 wrt h?\nAnswer: 109994514*g**2*h**2 - 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17 + 17 - 2*d - d**2.\nAnswer: -d*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -173145, -346728, -520311, -693894?\n\"Answer: -173583*y + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 195 (c) 15 (d) -0.534\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/49 and 22\/7?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-1 - -1 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a - 30. Let j be v(5). Let x = -521\/150 - 2\/75. Which is bigger: j or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/12*3\/2. Let q = 8 + -8. Let c = q - -0.1. What is the nearest to w in c, 2, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*r + r - 1, 12 = -4*z - 4*r. Suppose -z*y + 3 = m, 4*m + 0 = -2*y - 12. Suppose y*q + 85 = 5*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111 - 259 + d + 3*d + 2*d**2 + 88 in the form x*d + q*d**2 + l and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -18604*i + 8204378. Give c(441).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 133493 a multiple of 183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/12 - (-10)\/3. Let k(h) = -5*h + 75. Let p(d) = 2*d - 37. Let v(a) = 4*k(a) + 7*p(a). Let o be v(6). Solve -b = -o*b + z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*p + 3 = -52*p + 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(18\/(-15))\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -300714*d*z**2 + 59*d*z - 6703*d - 467*z**2 - 2*z - 90 wrt z.\nAnswer: -601428*d - 934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 2:08 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 3*x**4 - 5*x**4 + (2*x - x + x)*(-5 + 1 + 5)*(-x**3 + 4*x**2 - 4*x**2) as y*x**2 + s*x**3 + g + c*x + a*x**4 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5962, 11925, 17888, 23851, 29814?\n\"Answer: 5963*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3718*l - 3725*l. Solve 2*i - 45 + 37 = l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-4) - 359\/(-4). Suppose -3*v + v = -u. Suppose -4*g + v = 9. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/11 + 58178*x**2\/11 - 1164160*x\/11 + 5821800\/11.\nAnswer: 2*(x - 10)**2*(x + 29109)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g - 23. Suppose 6*q - 66 = -0. Let h be a(q). Let z = 2 + -1. Put z, h, 4 in ascending order.\nAnswer: h, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {q: 1, w: 4, f: 1, t: 2, g: 1}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3 + 9. Let m be 2\/(-4)*(s + 3). Let j = -3.4 + 3. Which is the closest to m? (a) j (b) -3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 5. Suppose n - 25 = 4*f, 4*n + 0*f + 5*f = -5. Suppose -t + 9 = 2*z, 5*t + n*z + 15 = 55. Give s(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 991120690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 46. Suppose -s = -2*q + 7*q + k, -231 = 5*s + 3*q. Let b = -45 - s. Put 2, 0, b, -4 in ascending order.\nAnswer: -4, 0, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4877*m**2*v**4 + 754*m**2*v - 3*m*v**4 - 8*v**2 wrt v.\nAnswer: -117048*m**2*v - 72*m*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6331071, 12662140, 18993209, 25324278?\n\"Answer: 6331069*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-2)\/16*(-2)\/(-12). Let l = -1 + 2. Is u at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/1079758 and 21\/258203.\nAnswer: 11877338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1582092219.\nAnswer: 3, 71, 7427663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -106*f**2*k - 8*f**2*l**3 + 48898*f*k**3 - f*k**2*l - 12*k**3*l**2 + 709439*l**2 wrt l.\nAnswer: -48*f**2*l - 24*k**3 + 1418878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.74733421 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1)\/g*g)\/((g\/g**(-1\/9))\/g)*g**(-6)*g*g*((g**(-2\/9)\/g)\/g*g)\/g*g*g*g*g*(g\/(g**(-13)\/g)*g*g*((g**0*g)\/g)\/g)**(-12) assuming g is positive.\nAnswer: g**(-586\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 14*a**2 - a - 1. Let m = 1 - 1. Let p be (1\/1 + m)\/(-1). Is 14 a factor of s(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 3 = f, -4*b + 1 = -3*f - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*m - 6*m - 54, 4*h + 8 = 0. Let b = m - -21. What is the third derivative of -186*j - b*j**2 - 8*j**6 + 186*j wrt j?\nAnswer: -960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -28, -22, -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15117\/137? (a) -3 (b) 0.02 (c) -4 (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 2:24 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 2, -5, -388, -0.114, 0.1, 28?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*r + 5, 9*r - o + 2 = 5*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*r - 1067 = -51*r. What is the remainder when r is divided by 2\/(-30)*-18*30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -23*d**7\/105 + 5*d**4\/24 - 88*d**2. What is the second derivative of y(b) wrt b?\nAnswer: -552*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28.6 - 24.6. Which is the closest to -13? (a) -1\/5 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccfccccccfccfc. What is prob of sequence ccc?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 32*t**4 - 11 - t**2 + 3*t - 38*t**4 - t + 3 to the form c*t**4 + j*t**2 + v*t + i + h*t**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19006776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 113 - 790\/7. Which is the third biggest value? (a) 2 (b) 0.5 (c) 0.4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4bb552 (base 12) in base 13?\nAnswer: -346b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*i + 17649 = -38*i - 50*i. What is the remainder when i is divided by 205?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dmmmmmdmmdd. Give prob of picking 2 d and 1 m.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 190 and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4340127 (base 8) to base 6\nAnswer: -40533515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -83224503 by 162231.\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 7*k**2 + 7*k + 1. Let c be u(1). Let q be (-28)\/(-21) + c\/(-3). Solve 2*w - 3*w = q for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 52?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 9*n**2. Let a be d(-9). Let z be 0 + a - (-44)\/(-2). Let m = -12 - z. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485, 514, 533, 536, 517?\nAnswer: 470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -453 + 454. Put -6, d, 0.3 in ascending order.\nAnswer: -6, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7367*a + 2511*a - 190*a**3 + 2413*a + 2443*a.\nAnswer: -190*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 49*k**2 - 6*k - 2573. Let c be g(-48). Let s(q) be the first derivative of q**4\/2 - 10*q**3 + q**2 + 13*q - 1. Is s(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yay when three letters picked without replacement from {y: 2, a: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 15*d + 3*d**2 + 23*d + 50 - 13*d**2 in the form u*d**2 + i + g*d and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002426103439 to seven dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 + 3*f - 8 + f)*(-3*f + 0*f - 6*f) to the form a*f**2 + w + o*f and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1152083757?\nAnswer: 3, 11, 839, 41611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(6*(-4)\/(-96)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3826464516 to the power of 1\/4, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 159128 to the power of 1\/2, to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3894*c - 3897*c - 3*l = 0, 5*l + 4 = -3*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 52 = -4*m + 2*v, 0 = 2*m + v - 23. Calculate the highest common factor of 5 and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -18*v + 52. What are the prime factors of d(-13)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 326, 1224, 2642, 4538, 6870, 9596, 12674, 16062?\nAnswer: 19718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**3\/3 - 13287*w**2 + 106277*w - 278971\/3 = 0?\nAnswer: 1, 7, 39853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 1, b: 1, v: 2, g: 2, w: 1}. Give prob of picking 1 a and 1 w.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 68. Calculate the remainder when 79 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v + 160. Let b be y(-20). Solve -4*s - s = b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 3*u**2 + 2*u + 2. Let d be v(2). Suppose -d*k + 60 = k. Solve 0 = -h + 5*h + k for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/z**(-16))**(-8\/5)\/(z\/z**(-1\/19))**(8\/5) assuming z is positive.\nAnswer: z**(-2896\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1154068.746 to the nearest 100.\nAnswer: 1154100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2029338964390 and -0.5?\nAnswer: 2029338964390.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -1\/2, 623059.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 1 + -2 + sqrt(1008) - 2*(sqrt(1008) + 1)) + -3.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 971, 974, 979, 986, 995, 1006?\n\"Answer: m**2 + 970","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**4\/24 + u**2\/2 + 15. Let q(x) be the second derivative of h(x). Let c(t) = -16*t**2. Determine q(c(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4+-96.9\nAnswer: -100.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -0.2, -92.41, -6.4?\nAnswer: -6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617*h = 624*h + 28 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 - 7*d**2 - 4. Let w be t(7). Which is bigger: w or -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13529220 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**4 - 103893*i**3 + 2*i - 74687939.\nAnswer: -4*i**3 - 311679*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*s + 104*s + 91*s - 404*s + 95*s.\nAnswer: -27*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2*15\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -675468 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 71, 135, 193, 245?\n\"Answer: -3*j**2 + 73*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -1, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 8:29 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**3\/4 - 15*o**2\/4 - 3*o = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, 8764, -1\/4 in descending order.\nAnswer: 8764, 2\/13, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 9*z - 10. Let h be l(7). Let m(j) = -h*j + 0*j + 5*j. Is m(9) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**5\/20 + 3*l**4\/4 + 7*l**3\/2 - l**2. Suppose k(v) = 0. What is v?\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174262370921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4\/5 - 24*x**3\/5 + 4*x**2 = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -103\/3 (b) -8 (c) -1.5 (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*f**3 + 8*f - 8*f + (-4*f + f**3 + 4*f)*(3 - 2 + 1) + 2*f**3 - f**3 - 2*f**3 to l + d*f**2 + v*f + o*f**3 and give o.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1033, 801, 415, -125, -819?\nAnswer: -1667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12 or -290\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -21 divided by 21\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6154\/(-2172))\/((-1)\/(-3)).\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -421.4, -0.2, 5, -5, 22?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 107 divided by -79\nAnswer: -107\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 0.5, -4\/5, 2944, -0.3 in ascending order.\nAnswer: -1, -4\/5, -0.3, 0.5, 4, 2944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*l - l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a. Let x(b) = 9*b + 18. Let d(i) = 2*i + 2. Let o(l) = 9*d(l) - x(l). Determine n(o(c)).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9545 + 4*m**4 + 2808*m**3 - 16944*m**2 + 11930*m - 32201 + 14111*m + 7911*m.\nAnswer: 4*(m - 2)**3*(m + 708)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20410414 (base 5) in base 3?\nAnswer: 22121111012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 65*a**5*d - 6*a**3*d**2 - 14*a**2*d**2 + 19*d wrt a.\nAnswer: 3900*a**2*d - 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 + 7 = 0. Suppose -2*n = 2*x - 98, -2*n - 77 = -4*n + l*x. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*a. Let c(f) = 28*f**3 - f**2 + 1. Let h be c(1). Let d(r) = -2*r + 65. Let p be d(h). Put p, a, 4, -2 in ascending order.\nAnswer: -2, a, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 271526 is divided by 90501?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from {x: 4, a: 1, s: 1, u: 2, v: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*w - 49 - 50 = 0. Solve -t - w = 4*f - 6*t, 0 = 2*f + 2*t - 12 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*a**5*d**2 + 2*a**3 - 111*a**2*d - 3*a*d - 3291*a + 5*d**2 wrt a.\nAnswer: -280*a**3*d**2 + 12*a - 222*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(209)*1 + sqrt(209))\/((sqrt(44)*-1)\/sqrt(4) + sqrt(11) - sqrt(11)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -10, -2\/3, 15, -3.393, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 7*i + 7. Suppose 5*b - 4*w - 45 = 0, 6*b = b - 3*w + 10. Calculate n(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21761\/2 - 4689497\/431. Are i and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 7. Is 2 a factor of u + (2 + 2 - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m. Let h be j(2). Suppose -2*o - h*o = 5*i, 0 = -o + 2*i. Suppose 2*y - 30 = -o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + -3. Let l = g - -168. Let j = 110 + l. What are the prime factors of j?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921606.3 micrograms in nanograms?\nAnswer: 921606300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 16*v + 60. Let t be f(-6). What is the closest to 1 in -0.8, t, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.024734 and 1.03?\nAnswer: -0.02547602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 124688?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 37 = v - 3*a, 26*v - a = 13*v + 7*v - 339 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j - 104. Calculate g(36).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 51642072 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-290)\/(-40) + 1\/(-4). Let f(q) = -q + 9. Let a be f(b). Solve 6 = 2*g + a for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -4*m + 11, z = -3*z + m + 2. Calculate the remainder when z is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4565*i + 4566*i = 1193*n + 6, -5*i + 30 = -4*n for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 66196 a multiple of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -10*s - 17. Let i(p) = 3*p + 4. Give -4*i(w) - q(w).\nAnswer: -2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/((b*b**(2\/9)\/b)\/b)*(b*b**5)\/b assuming b is positive.\nAnswer: b**(61\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -51*q + 668. Let d be v(13). Let i(z) = -5*z**3 - 12*z**2 + 19*z - 1. Let b(u) = 2*u**3 + 6*u**2 - 9*u + 1. Let f(r) = 7*b(r) + 3*i(r). Give f(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 at least as big as 1332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gghggggh. Give prob of sequence ggh.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.667 - 1.333. Suppose 37 = -4*k - 2*n + 11, 25 = -5*n. Which is the nearest to 0? (a) o (b) 5 (c) -0.4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -132257, -132085, -131913, -131741, -131569, -131397?\n\"Answer: 172*m - 132429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02465837 rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/48730 and -51\/220.\nAnswer: 97460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a + 578fc6?\nAnswer: 578fbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51464253 + -6?\nAnswer: 51464244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 817, -5\/4, -1\/2 in descending order.\nAnswer: 817, -1\/2, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.623828l in millilitres?\nAnswer: 2623.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.8 and 5.534.\nAnswer: 37.6312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m. Let q(b) = b**3 - 31*b**2 + b - 31. Let p be q(31). Let d(x) be the second derivative of -1\/6*x**4 + 2*x + p*x**2 + 0 + 0*x**3. Give d(n(y)).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 3869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10\/9, 2, -0.5, 0.04 in increasing order.\nAnswer: -10\/9, -0.5, 0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55070 and 176.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -509447092 by 11578343.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 x when three letters picked without replacement from {q: 1, x: 12}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -146 + 0 + (1 - 2). Let t = 75 + -183. Let j = t - n. Is j bigger than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20941 - -5986. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55397 divided by 798.\nAnswer: -55397\/798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 15 = 13*o. Suppose 0 = -i - o*l + 71, -7*i + 213 = -4*i - 3*l. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2\/4 - 1851813*i\/4 + 25000569\/2.\nAnswer: -3*(i - 27)*(i + 617298)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 0*f - 30. Let i = 72 + -176. Let v = i - -107. Solve -f = v*n - 5*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9170 + 3334 - 3346 - 8*z.\nAnswer: -8*z + 9158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 2*y**4 - y**3 - y**2 + y - 1. Let f(t) = t**4 - 16*t**3 + 307*t**2 + 5*t - 5. Let v(u) = 5*c(u) - f(u). Find the third derivative of v(m) wrt m.\nAnswer: 216*m + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142412*r - 3*x = 142403*r - 33, 0 = 3*r - 5*x - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -381 + 249. Let a = 77 - d. Let l = 903 - a. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 7*l**2 - 8*l + 1. Let k be y(8). Let m be 3*1\/k - 0. Suppose 0*o = -m*o + 3. Solve c - n + 1 = -0, c = 2*n + o for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218053531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 13. Let d(a) = a**3 - 9*a**2 + 9. Let j be d(y). Let h be -1 - -1*(j - -2). Solve -x - x + h = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 15 = -2*a, 0 = 3*w + 33*a - 32*a + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9363 - 332. List the prime factors of v.\nAnswer: 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1238*b + 584*b - 319*b.\nAnswer: -973*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 150976073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15961871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*m - 597 - 318, -4*m + 700 = -4*i. Let s = m + -119. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 9:16 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*f + 357 - 96*f - 356)*(-1 + 0 - 3)*(-10*f**3 + 10*f - 10*f).\nAnswer: -7000*f**4 + 40*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 + 9*d**2 - 3*d + 9. What is b(8)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13498 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 - 6*d + 5. Let c be u(-5). Let q(t) = -t**3 + 14*t**2 + 7*t + 9. Is q(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4\/3 - 1168*m**3\/3 - 395*m**2 + 18724*m\/3 - 23380\/3 = 0.\nAnswer: -5, 2, 1169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-8\/5)))\/(v**(1\/9)\/v)*(v**(-2))**(-48\/7) assuming v is positive.\nAnswer: v**(5104\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 4:50 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 0, -67, -192, -393, -688, -1095, -1632?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -232*(-5)\/30*(-18)\/24.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + (-2)\/(-1))\/1. Suppose -3*k + 2*k = t. Let d = 2 - -2. Solve d*z - 5*z - 2 = k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 5 = -7 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -164*r - 10322. What is v(-63)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times -1.802?\nAnswer: 0.0901","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -621?\nAnswer: 186.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + -14. Which is the closest to 0? (a) -5 (b) -1\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*b)*(3*b**4 - 6*b**4 - b**4) + b**5 + 2*b - 2*b + 0*b**2 + 0*b**2 - b**5 + 1 + 0*b**5 - 2 + 2*b**5.\nAnswer: -6*b**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.059 and 1.242261007.\nAnswer: 1.183261007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -0.5, 2\/7, -513\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -73296*y**2 + 10097?\nAnswer: -146592*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -694 by -442.\nAnswer: 347\/221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63150821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**3 + 6*d**3 - d**3 + (-d**2 + 5*d**2 - 3*d**2)*(4*d + 2*d - 4*d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(98) + 5)*-6 - (-3 + 5 + sqrt(98)))**2 + 5.\nAnswer: 3136*sqrt(2) + 5828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h - 24 = 0. Solve -p + h = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2070 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100110111111111010100 - 100?\nAnswer: 100110111111111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-18)*m**(-21))\/(m\/(m*m**(-8))*m**(2\/23)))**(-13) assuming m is positive.\nAnswer: m**(14079\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by 4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (910\/(-350))\/(7\/35).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 divided by -6.\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 1 - (10 - -3 - 8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a - 73 - 287 = 0 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 2*q**2 - 3*q**2 + 5*q**2. Let t(k) = k**2. Give t(a(y)).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 5*s, -2*s = -4*f - 1 + 7. Let r be 2\/(20\/2)*420\/378. What is the closest to -1\/4 in -0.06, r, f?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195709059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10154127 - 4?\nAnswer: 10154123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 3762*b. Let r(g) = 725*g + 2. Calculate i(r(j)).\nAnswer: 2727450*j + 7524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*k**4 + 25*k**4 + 2*k**4)*(-3 + k + 3) + (-2*k + 3*k - 2*k)*(-3*k**4 + 3*k**4 - k**4).\nAnswer: 55*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10312335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1390, -1386, -1382, -1378?\n\"Answer: 4*g - 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1065, -985, -771, -357, 323, 1335, 2745?\n\"Answer: 11*s**3 + s**2 - 1077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(-3*p**3 + 4*p**3 + p**3) + 2*p**3 - 3*p**3 - p**3 + (2*p**2 + 2 - 2)*(2*p - 2*p + 2*p) - p**3 - 8*p**3 + 2*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 - 3*b + 2. Let n be t(-3). Let w be 18\/(-12)*n\/(-6). Let d = w + 9. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 12) in base 2?\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 421314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 198 - -1105. Let p = -1301.762 + k. What is p rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 - 60*o**2 - 100*o.\nAnswer: -5*o*(o + 2)*(o + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t - 3. Let k be (-36)\/(-15) - (-6)\/(-15). Let z = k + -5. Determine x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047273054 rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/144*8*-1?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 15 = 0, 5*f - 2*f - 3*b = 18. Is 4 a factor of 1\/f*192\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 + -28. Calculate the common denominator of ((-129)\/(-54))\/((-2)\/6) and 4 + s\/((-132)\/368).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10463574.75 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -x + 9497, 0 = -4*p + 2*x + 18287 + 19695. Find the third derivative of 9496 - p - 18*u**5 - 3*u**2 wrt u.\nAnswer: -1080*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 23 = -w + 2*u, 0 = 5*w + 3*u - 51. Let i = w - 7. Differentiate 8 - 3*z**3 + 9*z**i - 9*z**2 - 5 wrt z.\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32243 (base 5) in base 3?\nAnswer: -10000102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 30\/95107001?\nAnswer: 30\/95107001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-nine halves of a millimeter in micrometers?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.5 (b) 22 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4, 2*t + 12 = 4*v - 2. Let q(f) = -2*f - 11. Let l be q(-8). Let r be l*2\/v*2. Solve -2*i = -5*b + 2*i + 36, -4*b + r*i = -36 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**3 + 4*r**2 - 3*r - 3. Let s be d(-2). Let i(z) = 0 - z - s*z + 0. Let t(a) = -8*a. Determine i(t(b)).\nAnswer: 32*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1889.3863 and 0.021.\nAnswer: 1889.4073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2104792258 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w = -27*w - 22*w + 988 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11586119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48245357 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27*(8492\/(-2123))\/(1\/((-2)\/3))\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 44*p**2 - 59*p + 867. Calculate q(-42).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -1 (b) -193.1 (c) -52 (d) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/(-5) - 6\/15. Suppose 0 = -5*g + 4*o + 62, 5*g - 46 = 2*g - 2*o. Let b be (-4)\/14 - (-16)\/7. Solve b*f - x = -g for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -32 (c) 807\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -13*l + 6*l - 77*l. Let c(w) = -3*w. Determine a(c(i)).\nAnswer: 252*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 904 + -1871\/2. Find the common denominator of i and -113\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 59*k**4 + 2*k**3\/3 + 140*k**2 + 691. What is the third derivative of q(v) wrt v?\nAnswer: 1416","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36 and 8800.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/3, -5, 587, 1\/6.\nAnswer: -5, -2\/3, 0, 1\/6, 587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13380 minus -324328?\nAnswer: 337708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1862 + 715?\nAnswer: 2677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11546 and -2093?\nAnswer: 24165778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*w - 2*b, -5*w + 2349 - 2414 = -4*b for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 54747212 to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*r - 108 = -369 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 3*m - 85, -3*m = -0*m - 3. Let g be 458\/q + 4\/(-22). Let r = 32 + g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-15) - 64\/(-20). Suppose -15 = -w*p, -n + 4*p = 3*n - 16. Find the second derivative of 6*a**4 - n*a**4 - 5*a - 6*a + 2*a wrt a.\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/8 < -17962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3574*z**4 - 207 wrt z.\nAnswer: -14296*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 311*s - 14 = 309*s - 0, 2*w + 3 + 11 = 229*s for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -53409 + -69?\nAnswer: -53478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + 3 - 3)*(-687 - 141 + c + 0*c - 1479).\nAnswer: c**3 - 2307*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**3 - 183*a**2 - 20883*a + 21063.\nAnswer: 3*(a - 119)*(a - 1)*(a + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7193.061 + 7186. Round j to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13123 + -221103000?\nAnswer: -221122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26132?\nAnswer: 2, 47, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1806*u. Let h(k) = -24698*k. Calculate o(h(j)).\nAnswer: 44604588*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200122220 - 201?\nAnswer: -200200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 5859 = -10*v - 4*h, 5*v = 3*h + 9754. What are the prime factors of v?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 (base 12) to base 13\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1881 and 270.\nAnswer: 56430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 62565930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -56696702 rounded to the nearest one hundred thousand?\nAnswer: -56700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/25 and -59\/25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-1) + -10 + (-1199)\/(-132)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 16148 - 84456. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 8*v**2 + 21*v + 15. Let f be b(-10). Suppose g + 3 = 0, f*z - 191 = 5*g + 384. What is the greatest common factor of 56 and z?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000445 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppmv when four letters picked without replacement from pggvpm?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1*-13 + -2628*(-43)\/8772\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h + 28 = 160. Factor -h*x + 2*x**2 - 14*x - 6*x**2 + 13*x.\nAnswer: -4*x*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Let u = m - 4.06. Let k = -0.94 + u. Which is the second biggest value? (a) k (b) 2\/7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197634784 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**5\/60 + 7*g**4\/24 - 5*g**3\/6 + 3*g**2. Let h be j(6). Solve s + h = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1022 is divided by 264?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-3 + 3 - q**3) - 16*q**3 - 5*q**3 + 7*q**3.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4493.069 kilograms?\nAnswer: 4493069000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**4))\/(v*v**(-6\/11)\/v) assuming v is positive.\nAnswer: v**(39\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -10*i**2 + 2*i + 1650. Let p be y(0). Suppose -113*k = -102*k - p. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (69 - 3) + 66 + (-61 - 14)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 5:40 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8234 - -8266. Solve -6 = -3*i, -3*n + 5*i + 16 = q for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26974 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 4 + 52 = 0. Is 33 a factor of 3235\/7 - f\/(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18431 and 6937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5*q + 2*j + 39285, 65477 = 5*q - 4*j. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**5 + 2 - 2 + (-2*v**4 - v**4 + 2*v**4)*(3*v - 5*v - 4*v)*(2 - 3 + 3).\nAnswer: 15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 36531004 to the power of 1\/3, to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of 259*h**4\/12 - h**3\/6 - 147*h**2\/2 + 4*h - 25. Find the second derivative of i(k) wrt k.\nAnswer: 518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -166, -314, -474, -646, -830, -1026?\nAnswer: -1234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 750\/11 or 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4 + 160*f**3 + 2676*f**2 - 21328*f + 18490 = 0 for f.\nAnswer: -43, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 4*i - 18, -7*z = -4*i + 6 + 7. What is the second biggest value in 0.2, 5, z, 0.0758, -1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 437, 9\/4, 19, 2?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s + 1. Let g(h) = 2*h**2 + 3*h + 3. Let r(c) = g(c) - 3*u(c). Let p(z) = 8*z. Determine r(p(y)).\nAnswer: -64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6649 + 10936. Round o to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 2*t**2 - 5*t - 2. Let w(c) = -12 + 3*c + 7 + 1 + 0. Give 6*f(m) - 7*w(m).\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/13, -10, 12281\/4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 + 3*w - 17. Determine q(4).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + 3)*2\/4. Sort -2, -0.3, g in descending order.\nAnswer: g, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1)**50*(o\/o**(-3))**(-30) assuming o is positive.\nAnswer: o**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 257.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.265956 + 0.1959. Let i = -0.13 - -0.2. Let k = i + w. Round k to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9\/16 of a day?\nAnswer: 48600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30582?\nAnswer: 2, 3, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/13))**9\/((p\/(p**4\/p*p*p))\/p)**(-31))**(4\/31) assuming p is positive.\nAnswer: p**(-7988\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5 + 0)*((-52)\/(-60) + -1). Let v = -0.25 - 3.75. Which is the second smallest value? (a) j (b) v (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -144483*c**4 - 10029*c**2 - 3?\nAnswer: -3467592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -158*z. Let d(p) = -1190*p**2 + 2354*p**2 - 1198*p**2. Give u(d(k)).\nAnswer: 5372*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-14) - (-2790)\/(-462)) + 6. Which is the closest to 1\/2? (a) -19 (b) -5 (c) -3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118165 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - 0) + -166 + 182 + -16?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (156\/182 + (-108)\/(-70))\/(1 - 3)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*v - 244*v - 4*i = 248*v + 131, 0 = -9*v + 16*i - 13*i + 74 + 166 for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 432675179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6162825 is divided by 123.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1616 - -2494. Suppose l = -9*z + 3884. List the prime factors of z.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 320?\nAnswer: -1\/160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279 + 405. Let w be r\/(-27)*-3*(-1)\/(-2). Suppose 8 = -w*m + 11*m. Solve -5*f + 25 = 0, p - 2*f + m = -f for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -d, -2*k - 16 + 4 = -5*d. Suppose k*j = 2*j + 10. Let g = 7 - j. Solve -4*z + g*u = 4*u + 16, 7 = -3*z + u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y + 24. Let h be s(-11). Suppose h*d - 3*d = -3. Suppose d*u = 2*u + 50. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b - 4. Let v be i(-6). Suppose -4*j = -7*j + 42. Calculate the greatest common factor of v and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*b**5 + 35*b**3 + 18525*b**2 wrt b?\nAnswer: -3600*b**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*h - 104 - 36, 0 = -h - 5*k + 53. Suppose -a = -4*a + h. Suppose 2*w - a = 10. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-80)*(14\/21)\/(5\/30)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1002 + 445. Let l = -264 - r. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a hour in minutes?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11572 + -11255.88. Let y = 316 - l. Which is bigger: y or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 10 = 2*s, 4*s = 5*g - 3 - 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = -a - 2*g, -g + 2917 = 3*a + 2892 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71989984 = m - 4*h, 4*m + 3*h = -4767936 + 292727948. Round m to the nearest one million.\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -85*p + 89*p - 192*p to the form v + h*p and give h.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 900 and 5682.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -963 - -960. What is the third smallest value in -2, 0.4, -23, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 6*x**2 + x - 4. Let r(v) = 2*v**2 + 3*v + 1. Let y be r(-2). What is the smallest common multiple of k(y) and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 29*c**2 - 4*c - 112. Let l be o(-29). Determine m so that 0*m + 7\/5*m**3 - 2\/5*m**l - 4\/5*m**2 - 1\/5*m**5 + 0 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50141.\nAnswer: 7, 13, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1221070266389.99242 + 1221011337521. Let t = j + 58928290. Let u = t + 579. What is u rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 9:34 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91)\/(-65) + (-6)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -53*b - 543. Let t be o(-21). Solve -7*r - 577 = -t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 320 = -4*j - 197, -4*j = w - 517. What is the least common multiple of w and 94?\nAnswer: 1034","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 + f**3 - 2*f**3 + (0*f**2 - 2*f**2 - f**2)*(-11*f - 3*f + 3*f) + (-f**2 + 0*f + 0*f)*((-f - 4 + 4)*(-7 + 2 - 5) + 0 - 2*f + 0).\nAnswer: 26*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 - 4. Let x(b) = 1. Let i(j) = u(j) + x(j). Let w be i(6). Suppose w = l + 2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/(-540))\/((-42)\/(-15)). Let x = 22427\/504 + b. Find the common denominator of x and -23\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39\/316 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - p = -9, -24*a - 1 = -23*a + 3*p. Suppose -t + 5*t + 76 = 5*r, -r = -5*t - 11. Let b = r - a. Solve 5 = -b*d - 5*m - 13, -2*d - 2*m - 6 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from aauuaaa.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3410 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kznikkkikkiiizikinz. What is prob of picking 2 k and 1 n?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8 or -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10018 + -569. What are the prime factors of t?\nAnswer: 11, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6872d (base 15) in base 13?\nAnswer: -b838a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**5 - 33*h**4 - 351*h**3 - 1183*h**2.\nAnswer: -h**2*(h + 7)*(h + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 266 - 145. Let t = d - 120.47. Round t to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 10 = -5*h, -3*h - 369 = -7*o - 367. Sort 137, h, 0, -3 in increasing order.\nAnswer: -3, 0, h, 137","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010000110 + 100?\nAnswer: 1010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**2 + 6*c + 146. Let n(t) = -6*t**2 + 7*t + 145. Give -7*g(w) + 6*n(w).\nAnswer: -w**2 - 152","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4215919.1 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -148?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-1532)\/(-383))\/((-16)\/24*(-24)\/(-212))\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21.3 + 21.609. Let s = x - 0.009. Let a = -161 - -1129\/7. What is the second smallest value in s, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11210212001012122 + 0?\nAnswer: -11210212001012122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 0.5 (b) -2\/3 (c) -5\/3 (d) -349.0132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 24*m + 5. Let u be y(-12). Suppose -2 = t, -5*a + u*t - 4*t = -12. Suppose -5*n + 5*c + 813 = 4*c, -a*c = -n + 168. Does 54 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-five sixths of a year in months?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 3802?\nAnswer: 37a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 254 + -276. Is (n\/(-44))\/(1\/106) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -97*x - 193. Suppose -3*y - 75 = 5*n - 30, 0 = -5*n - 5*y - 55. What is the hundreds digit of r(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**5\/2 + 621*a**4\/2 - 3749*a**3\/2 + 8139*a**2\/2 - 3760*a + 1254 = 0.\nAnswer: -627, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817*y + 1326*y = -8728*y - 1258326 for y.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -7*o**5\/10 - 3*o**4\/4 - 16*o. What is the third derivative of i(c) wrt c?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -77, -53, -19, 25, 79?\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*b - 5. Suppose w + 5*h = -w + 360, 4*w - b*h - 746 = 0. Suppose 0 = 3*y - 8*y + w. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fourty-two fifths of a millimeter?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by 106?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p = -57 + 120 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31849, 31564, 31279, 30994, 30709, 30424?\nAnswer: 30139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 988587, 988589, 988591, 988593?\n\"Answer: 2*f + 988585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 w when two letters picked without replacement from {i: 3, l: 2, q: 3, x: 1, w: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((6 + -5)\/(-2))\/((-2)\/12). Suppose -r + 5*r + 5*u - 7 = 0, 2*r - 9 = c*u. Solve -4*s + 24 = r*w, 0 = -2*w + 3*s + 2*s - 7 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 7*s - 3*s. What is the closest to 0 in s, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 - 146.7?\nAnswer: -16.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -444.9289 + -0.0711. Is o > -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111824 divided by -1928\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 13975 = -3*b. What is the hundreds digit of (b\/(-100))\/((-2)\/184)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -351677, -351683, -351691, -351701, -351713?\nAnswer: -351727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 4:10 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2779*s + 2617*s + 8262 = 0 for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54185.14 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30464 and 6496.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 j when three letters picked without replacement from {j: 5, e: 1, p: 2, o: 4, v: 2}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-6) - 3\/6. Let r = -182 + 222. Suppose l = -7*s - s + r. Put -4, -3, -5, s in decreasing order.\nAnswer: s, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*n = 34, -2*n - 24 = 2*x - 4. Let r = -5 - x. What is the derivative of r + 0 - 2*d - 2 - 1 wrt d?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (13 - (-7 - -7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 - -175. Let z = -42\/11 - -232\/55. What is the third biggest value in d, z, -1, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1382976 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 56 = 55. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1756*q**3 + q**2 - q - 1. Let v be z(-1). Suppose v = 6*c - 265. List the prime factors of c.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g**2 + 2*g - 1. Let z = 2035 + -2026. Let j(f) = 2*f**2 + 2 - 5*f + f + 2*f**2. What is z*h(v) + 4*j(v)?\nAnswer: -2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 106612, 189, 1 in decreasing order.\nAnswer: 106612, 189, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 8*r = -4. Solve 0*s = r*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lr when two letters picked without replacement from wrrrlrl?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -4*f + x + 12, -10 = -5*f + 4*x. Which is the nearest to -2? (a) 0.5 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -240.928 - -236.928. Let h = -1 + 2. What is the smallest value in h, r, 1.84, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 12) to base 13.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -103.57. Let x = p + 4.43. Let d be (2\/(-36))\/(14\/(-84)). What is the second smallest value in -6, -0.4, d, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*t + 129*t = 0. Solve 4*m + 9 = -q, 2*m - 2*q + 3 - 11 = t for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38735\/6324 - -22\/527. Find the common denominator of o and (1\/7)\/((-108)\/(-5838)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41772 (base 12) in base 4?\nAnswer: -110330012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*g - 102*g + 282*g + 171*g in the form w*g + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 3*(sqrt(272) + sqrt(272) + 4 + sqrt(272)))*-1)**2*6.\nAnswer: 3888*sqrt(17) + 132678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 1039 - 1142. Does 8 divide j\/(-7) + ((-6)\/14)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -63, -104, -155, -222, -311, -428, -579?\n\"Answer: -r**3 + r**2 - 37*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-2)\/(-12))\/((-38)\/228)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 13 = 3*y, -4*u - 2*y - 10 + 0 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 93*p**2 + 19*p + 9. What is the thousands digit of v(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 5*c - 6440, -c - 5*d + 1273 = -d. List the prime factors of c.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from {w: 7, f: 7, o: 2}.\nAnswer: 49\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676 = -4*h + 2312. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 6*r - 1. Let i(p) = -2 - 3 + 3*p**3 - 2*p**3 - 7*p**2. Let y be i(7). Let w be v(y). Solve -w*a - 12 = b, 2*b + 5*a + 6 = 3*a for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*l = 69*l - 360 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + 25 - 12 - 12 + 3*r - 3 + 2*r**4 + 4*r**3 to f + c*r**4 + y*r**2 + x*r + o*r**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 1\/5 (c) 6912\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, 2, 0?\n\"Answer: -2*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1 - x)*(-11*x**2 + 0*x**2 - 4*x**2).\nAnswer: 15*x**3 + 15*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 81 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 254688, 254679, 254658, 254619, 254556, 254463, 254334?\n\"Answer: -l**3 - 2*l + 254691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138 is divided by 150.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 2*w + 1. Let n(k) = -k - 1. Let y(u) = -5*j(u) - 5*n(u). Let r(d) = -d + 2. Let t(x) = -x + 1. Let i(f) = r(f) - 2*t(f). Give i(y(z)).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 378, -25, 0.4, -0.2 in increasing order.\nAnswer: -25, -5, -0.2, 0.4, 378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/155 (b) 536 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(1539)))**2 - 6*(sqrt(76) - sqrt(76)*2).\nAnswer: -132*sqrt(19) + 6172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6762, -6756, -6750, -6744, -6738?\nAnswer: -6732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -863*r + 232*r = 1398 + 495 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732242*r + 741 = -1732185*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 257?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 73572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -40789\nAnswer: 2\/40789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + -18. Let d be z\/((-5)\/((-15)\/6)). Let u(n) = 8*n - 5. Let r(q) = 17*q - 11. Determine d*u(h) + 6*r(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -5*q + 3345, 749 - 97 = q - 4*t. Calculate the remainder when q is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14654031 is divided by 6819.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - 7 - (-87)\/(-22). Which is the nearest to 0.1? (a) -0.3 (b) m (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five quarters of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2432022?\nAnswer: 2, 3, 397, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*y + 17*y - 26*y + 28*y as f*y + j and give f.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60231 to the power of 1\/2, to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 47156692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14078139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2 + 2*sqrt(171) + (-6*(sqrt(171) + sqrt(171) + 1) + sqrt(171) + (0 + sqrt(171))*-4)**2.\nAnswer: 546*sqrt(19) + 38507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3229.38 milligrams?\nAnswer: 3229380000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 87640092 divided by 12?\nAnswer: 7303341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t**(-2\/5)\/t)\/t))\/t**(-1\/3))**(-6))**(-31) assuming t is positive.\nAnswer: t**(4402\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 41349734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21368 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*b - 3*b. Suppose 5 = b*u + 1. Let q = 0.4 + -1.4. What is the smallest value in u, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of w**2\/2 + 17*w + 40. Determine q(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 64796399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 + 564 + 8*m - 10.\nAnswer: 8*m + 580","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6746 is divided by 1674?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 9 - 0. Suppose d + 4*d = -3*f + 102, -z*d + 70 = 4*f. Calculate the remainder when (6\/4 + -2)*-106 is divided by d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 312 and 390.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -219, -213, -207?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = -5. Let p(g) = 4*g**2 - 2*g + g**2 - 6*g**2 + 2*g**3 + 1. List the prime factors of p(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000019132 to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 422 = -5*t + 5*w - 553, w + 795 = -4*t. Let x = 204 + t. Calculate the remainder when 3*3\/(18\/140) is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24569 is divided by 141.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 7*d. Let i(j) = 3*j**2 + 21*j. Let h(o) = 2*i(o) + 7*t(o). What is h(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2383 - 296 = -1120*h + 12167 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1323*z - 3293 - 65163 - 3994 = 30744 for z.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 7*x**2 - 3*x - 9. Let l be y(-7). Solve -3*p + 5*q = p + l, 0 = -2*q for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 2\/3, -2\/17 in ascending order.\nAnswer: -9, -5, -2\/17, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 + -2.29. Let s = -3.91 + b. Is 0 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -334, -556, -778, -1000?\nAnswer: -1222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2663 less than 52401700?\nAnswer: 52399037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 11. Let b(j) = 1 + 8*j**2 - 2*j**3 + 2*j**2 + j**3 - 9*j + z. Let t be b(9). Solve t*c = 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 13, u: 3}. What is prob of sequence uw?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - -5*sqrt(114)*-2)\/(sqrt(18)\/sqrt(3)*3).\nAnswer: -3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/9 - 1)*(409 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -241 - -5?\nAnswer: -236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 139*f - 2080. What is x(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2210050069.\nAnswer: 61, 293, 123653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*i - 1365 = 0, d + 4*i + 1812 = 5*d. Let v(l) = 4*l**3 + 54*l**2 - 36*l - 94. Let h be v(-14). Calculate the greatest common factor of d and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbd. What is prob of sequence bd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542243 = 40*m + 65*m - 263002. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 4, c: 2, j: 6, x: 2, f: 4}. What is prob of picking 2 c?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 11 - 178*g**3 + 182*g**3 + 37.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 7. Let u = -8 - i. Let l = 2.33 - 0.33. Is l bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**2*n**3 + 461*m**2*n*w**2 - 2*m**2*w**2 + 175*m*n**3*w**2 - 2*m*n**2*w wrt m.\nAnswer: 4*n**3 + 922*n*w**2 - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1388 and 16346476.\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) -1 (b) 1\/2 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/4)\/((-83)\/(-332)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*h - o - o, 5 = 4*h + 3*o. Suppose -2*p - 25 = -5*g, -3*p - h*p = 4*g + 79. What is the units digit of 4\/10 - 39\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1921952.97 to the nearest ten.\nAnswer: -1921950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -5*x**3 + x**2 + 2*x + 1. Let i be j(-1). Let t = 5 - i. Suppose 3*v + v - 748 = t. Calculate the highest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 3, 212 in descending order.\nAnswer: 212, 12, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -110 + 129 + (-41 - (2 + -3)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/12 and 1*10\/(-8)*30\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6465 + -12929\/2. What is the nearest to -2 in -1\/27, b, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-94)\/16 - 3*5\/120. Let y(s) = 1. Let c(a) = -a - 10. Let l(z) = -c(z) - 2*y(z). Let n be l(g). Solve -4*w + 4*j = -n + 10, 5 = -2*w + 3*j for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -198.\nAnswer: 79.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*o - 8 - 8, 0 = 4*o - i + 13. Let x(j) = -3*j**2 - j + 4. Let p(k) = -12*k**2 - 5*k + 17. Determine o*p(r) + 9*x(r).\nAnswer: -3*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*m - 16*m + 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b + 4. Let m = -1854 - -1862. Determine o(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 - 0 - (-483)\/(-7). Let p = r + 65. Suppose -2*b + p*k + 3 = k, 0 = 2*b + 3*k - 1. Solve -t + 3 = b for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -d + 37. Suppose -4*l + 24 = 3*k + k, -4*k - d = -5*l. Calculate the greatest common divisor of l and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 7*j**2 - 6*j - 1. Let v be c(-6). Let r be (7 + v)*6\/4. Suppose 0 = r*s - 4*s - 15. Solve 0*i = x - 4*i, 0 = s*x + 5*i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a factor of 757217584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1594, -3347, -4998, -6547, -7994, -9339?\n\"Answer: 51*w**2 - 1906*w + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5660 and 4528?\nAnswer: 22640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.8484 at most as big as 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(144))\/sqrt(8))\/(sqrt(9) - (-2*sqrt(9) + sqrt(9))*-1 - sqrt(9)).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 6*i + 7. Let k be b(5). Let r = k + -2. Let l(p) = -p + 1. Let n be l(r). Calculate the greatest common factor of 1 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o + 7 = -38 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -0*w - 4*w - 41, -5*w - 2*g = 30 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/24 + (-118)\/(-12). Let u(n) = 12*n + 8. Suppose -l = -8 + 2. Let f be u(l). What is the greatest common factor of f and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -16. Let b = h - -1. Let r = -8 - b. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90789 and 5274327?\nAnswer: 1713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 2*x = 1. Let y(l) = 3 + 2*l**2 - 4 + 2 + 2*l - 2*l**3. Let u be y(x). Which is the closest to -1? (a) u (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150252206 is divided by 4036?\nAnswer: 4034","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + -111 - (-20 + 2)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8581 or 8580?\nAnswer: 8580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2840250100 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = n - 2*n. Let m = n + 8. Calculate the remainder when 47 is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13065.9 nanoseconds in milliseconds?\nAnswer: 0.0130659","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -1 (b) 0.02 (c) 5 (d) 0.4 (e) 2244\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 244?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 162864.1486 and -2.\nAnswer: 162862.1486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33800803 to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or -0.57487?\nAnswer: -0.57487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1427098.8 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 10*v**2 - 7*v + 8. Calculate y(-9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 524 divide 64723925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 110126262?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.47 - 0.53. Let d = 4.4 - 4. What is the closest to -6 in 5, n, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0.8218?\nAnswer: -5.8218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7876 is divided by 983.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.7 times 0.6?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h**3 - 38*h**2 - 26*h + 7. Let a(s) = -20*s**3 - 56*s**2 - 33*s + 10. What is 5*a(c) - 7*n(c)?\nAnswer: -9*c**3 - 14*c**2 + 17*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 565 = -3*p, -5*p + 1183 = 5*q - 247. Solve -q*d + 290*d + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9223 + 0.5.\nAnswer: 9223.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -2231*m**5\/20 - 7*m**4\/24 - 5*m**3\/3 - 31*m**2 + 2*m. Let a be x(6). Round a to the nearest 10000.\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.3 (b) -25 (c) 95 (d) -0.3 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -269. Let v(z) = z + 263. Calculate -3*n(h) - 2*v(h).\nAnswer: -2*h + 281","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 337 and 0.45739086494.\nAnswer: 337.45739086494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -31*h**2. Let i(v) be the third derivative of 0*v**3 + 1\/60*v**5 - v**2 + 102*v + 0*v**4 + 0. Calculate i(f(c)).\nAnswer: 961*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a713a - -7dc?\nAnswer: -a673c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -4, 348, -2\/93, 1, -2\/5, -35?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (sqrt(114) + (sqrt(114) - ((sqrt(114) - 2*sqrt(114))*6 - sqrt(114))) + sqrt(114)))\/(sqrt(96) - (sqrt(96) - 2*sqrt(96)))*-1*-1.\nAnswer: -9*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1249 (base 14) in base 2?\nAnswer: -110010000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*b*i**5 + 6*b*i**2*q - 2*b*i*q - 2*b*q - 2338*b - 60*i**3*q - i*q - 6*i wrt i?\nAnswer: 240*b*i**3 + 12*b*q - 360*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1200 + -1205. What is the closest to 2\/3 in -7.1, 3, o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -13 (b) -4 (c) 5\/4 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -192*z**2 + 93.\nAnswer: -384*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 + 14*z + 12. Calculate v(-9).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3481 - 3469. Suppose -2*x - 10 = 3*x - 5*r, 4*x = -2*r + 16. Solve v = -x*d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -8*o. Let u be j(1). Let y be 18\/24*u\/(-2). Suppose -y*p - 3102 - 1193 = 4*f, 0 = -2*p - 10. Round f to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94912413 a multiple of 771?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 4. Let v(w) = w**3 - 4*w**2 + 4*w - 3. Let z be v(3). Let a be (-6 + z)\/(-3) - 5. Let r(d) = d**2 + 3. What is a*j(h) - 4*r(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 23*p**2 - 7*p - 111. List the prime factors of r(-25).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1460)\/(-50))\/((-2)\/(-20)). Let s = -70545\/14 + 5044. Calculate the common denominator of 6\/(-4)*t\/(-72) and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5, 2*s - 3*s = -r + 12. Which is the nearest to 4? (a) 1\/2 (b) 0.1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543614077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 4*n**4 + 3*n**4 + (1 + n**3 - 1)*(-3*n + 0*n + 2*n) - n**4 + 4*n**4 - n**4 + (2*n**2 + 0 + 0)*(-13*n**2 + 55*n - 55*n).\nAnswer: -26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/19 - 90\/19*z**2 - 142\/19*z.\nAnswer: -2*(5*z + 9)*(9*z - 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3334.1 - 3334. What is the fifth smallest value in -0.04, -4, -0.07, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5141, 5097, 5053?\nAnswer: 5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6540, 13081, 19624, 26169, 32716, 39265, 45816?\nAnswer: 52369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 195*j**3 - 2*j**2 + 2*j - 3. Let d be (33\/(-44))\/((-1)\/8). Suppose -z - 13 = 3*l, d*l - 3*l = -3*z - 9. Is o(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsruuab. Give prob of picking 1 s and 1 r.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1259 or -413169\/328?\nAnswer: -413169\/328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k**2 - 470*k + 474084. Calculate f(-408).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341848?\nAnswer: 2, 13, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**7\/840 - j**6\/72 + 7*j**3\/6 + 8*j**2. Let h(f) be the first derivative of q(f). Find the third derivative of h(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010 + 1001100110000100101?\nAnswer: 1001100110000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.11 (b) -9 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*m**2*u**3*z**3 + 145*m**2*u**3*z + 40*m**2*u - 2*m**2*z**3 - m**2*z**2 wrt u?\nAnswer: -12*m**2*u*z**3 + 870*m**2*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 0 - 4. Let h = 46 + -31. Let m = 12 - h. Which is the nearest to -3? (a) m (b) 5\/3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, -23849, -6\/7, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 12357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 210507198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 6*z + 5. Let p be n(4). What is the units digit of (-1)\/(-2)*(0 + (-306)\/p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - t = -906. What is the remainder when t is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.1302 + -0.1302. Let y = 266 - 183. Sort r, 0, y in increasing order.\nAnswer: 0, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11426161*a**3 + 1014*a**2 + a - 10.\nAnswer: -68556966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*r - 23 = 0, -2*c + 6 = 5*r - 8. Let d(y) = 11*y**2 - 9*y + 11. Let m(w) = 4*w**2 - 4*w + 5. Let a(t) = 2*d(t) - 5*m(t). What is a(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 18, z: 2}. What is prob of picking 3 r?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 + 28*m**2 - 28*m**2 + (m**4 - 5*m**4 + 5*m**4)*(-77 + 44 - 25).\nAnswer: -60*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/12 and 17\/242.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 388, 408, 446, 508, 600?\nAnswer: 728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-104)*-108)\/(52\/104)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p - 6. Let f be o(-9). Let c(w) be the first derivative of -4*w - f*w**2 - 1 - 2\/3*w**3. Factor c(d).\nAnswer: -2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 7*c**6\/60 + 7*c**5\/60 - 5*c**4\/6 - c**3\/6 + 310*c**2. What is the second derivative of h(u) wrt u?\nAnswer: 84*u + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/24 - 381\/(-9144).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -14. Let g be (1 - (-6)\/3)*f. Suppose v - 2*x = 6, -5*v - 2*x - 3*x - g = 0. Solve y - 5*y + 20 = v for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiffnidfnuvunid. Give prob of picking 1 d, 2 n, and 1 v.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5333 is divided by 280?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4964)\/(-51) - 1\/3 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222294 divided by 7\nAnswer: 1222294\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/20 + m**4\/2 - m**3\/3 - 3*m**2 - 2*m. Let b be g(-6). What is the units digit of 7\/3 + 4\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 3, -827 in descending order.\nAnswer: 3, -35, -827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 42, 68, 94, 120?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 819595238 a multiple of 91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 9 + 6 - 8*i**3 + 0.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i + 150 = 0. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/(-45)*3 + -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d - 118*d - 15*d)*(3*d - 2*d**2 - 3*d) - d**3 + 2*d**3 + 0*d**3.\nAnswer: 253*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 81990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377) + sqrt(1377)*-4 + -1)**2 + -4.\nAnswer: 108*sqrt(17) + 12393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 106 (base 10) to base 16\nAnswer: 6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p = 14*p - 9*w + 3747, -3*w - 2223 = -3*p. What is the remainder when p is divided by 140?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 8, d: 2, w: 2, j: 6}. Give prob of picking 1 w and 1 j.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - w = -21, -4*b - 2*w = w + 105. Which is bigger: -85 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 8:31 PM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.3 * 79675.\nAnswer: 183252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13015081 rounded to four decimal places?\nAnswer: -0.1302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -92*y. Let j be z(-7). Suppose 4*k = -n + 848, -4956 = -5*n + 4*k - j. Round n to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 t when three letters picked without replacement from {t: 1, y: 5, p: 8, j: 2}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 + 25 + 0*t**3 - 11*t**3 + 118.\nAnswer: -11*t**3 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -63. Solve f = 4*p - p + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -343\/5, -4, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + ((1*(2 + sqrt(112)))**2 - sqrt(112)))*1.\nAnswer: 24*sqrt(7) + 242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 10 = 0, -11 = 5*c + 5*u - 46. Let y be -1 + 1 + (1 - 0). Let b be (y - 0\/1)*-2. Sort -4, b, c in ascending order.\nAnswer: -4, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 511235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 125.548 - 133.3. Let s = z - -7.7. Let j = s + 0.04951. What is j rounded to 4 decimal places?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 121260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 485 and -261320949.05?\nAnswer: 261321434.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 - -17.52. Let b = 3.43 - 21.0138. Let m = i + b. What is m rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 times -9.88\nAnswer: -256.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 502676, 502398, 501934, 501284?\nAnswer: 500448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 9. Let j be ((-6)\/v + -1)\/(-1). List the prime factors of (j\/2)\/((-1)\/36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 7*j + 6. Let g(o) = 1. Determine 6*g(b) - h(b).\nAnswer: -7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14b3a71b + -5?\nAnswer: 14b3a716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -259, -523, -787, -1051, -1315?\n\"Answer: -264*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-8)*m\/m**(-8\/7)*(m\/m**(4\/21))\/(m*m**(-30)*m) assuming m is positive.\nAnswer: m**(482\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 + 136*i**3\/7.\nAnswer: -2*i**3*(i - 68)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g + 2*g + 2*g - g - g**2.\nAnswer: -g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0491152 rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**5 + 5083344*k**4 + 98922395*k?\nAnswer: 100*k**3 + 61000128*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -8*i + 20. Let o = 23 + -12. Suppose -2*h - o = -2*v + 3*h, -3*v - h - 9 = 0. Put 3, i, v in increasing order.\nAnswer: v, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -46871\nAnswer: -3\/46871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 26 - 10808*r - 60.\nAnswer: -10808*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/45? (a) 1 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29532169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.65639269 to three decimal places.\nAnswer: 0.656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89151 - -140421. Suppose -24*s - 6*s = -r. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114*b**2*f*t**3 - 2*b**2*t - 5*b*f*t + 2*f*t**4 + 2*t**5 + 14*t**2 wrt t?\nAnswer: 684*b**2*f + 48*f*t + 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 + 3*f + 5. Let q be (-9*(-5)\/5)\/(-1) - -4. What is z(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*u - 64*u - 20*u = 268. What is the nearest to -2 in 7, -0.2, -3, u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of p**6\/600 - p**5\/75 - 4*p**2. Determine l, given that h(l) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 - 16 = -5*n, 4*z = -4*n + 68. Suppose 2*v + 20*h - 4235 = z*h, -v = -5*h - 2134. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/(-25)*(-25)\/2. Suppose 2*n = 7*n - w. Let u = 5 - n. Is 3 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*t - 0*t. Suppose -2*y - t*y - 332 = 0. Is y\/((1 + -2)*1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*a + 208 - 40 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -234609.081658 - -338894.971651. Let y = d - 104286. Let f = -0.11 - y. What is f rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f + 0*f + 2*f - 13*f + 23*f - 12*f + (-2*f + 2 - 2)*(0 + 3 - 1) + 3*f - 2*f + 0*f + (2 + 0 + 0)*(-4*f - 24 + 24).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 31. Suppose -4*d + 126 = o*l + l, -2*l = -3*d - 101. Let b = l - 26. What is the remainder when 75 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0606 + 1.0606. Let l = -577\/5 - -115. What is the nearest to r in -2\/11, -1\/3, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) -0.5 (c) 0.56 (d) 1 (e) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npqqqutpqqnqpq. What is prob of sequence qq?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -2, -241, -5.\nAnswer: -241, -5, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (29\/((-1450)\/(-2640)))\/(((-36)\/280)\/(-3)). Calculate the highest common divisor of 16 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001489 to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k - 1. Let s(y) = y + 1. Let a(n) = -7*s(n) - 5*x(n). What is the first derivative of a(w) wrt w?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 347 is divided by 121.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1312445731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(304) + 1 + 5*(sqrt(304) + -1 - sqrt(304)) + 2)**2.\nAnswer: -8*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-8)\/(-48))\/((-1)\/2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449690?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222107.\nAnswer: 222107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((0 - 1) + (3 - 1))*-35. Let h = b - -39. Sort -1, h, 1, -4 in descending order.\nAnswer: h, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 - 11*s - 9. Determine x(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13*m - 301. Let u(i) = 36*i - 907. Determine 8*j(b) - 3*u(b).\nAnswer: -4*b + 313","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -51, -219, -493, -867, -1335?\n\"Answer: j**3 - 59*j**2 + 2*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**3 - 24*p**2 + p + 24. Let u be z(8). Let w be (-26)\/(-18) - -16*(-2)\/u. Let 16\/9 - w*s**2 + 2\/9*s**3 - 8\/9*s = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-20)\/(-48) + 1368\/(-1728). Which is the closest to f? (a) -21 (b) 1\/4 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 - 25*n**2 + 196*n - 9. Let m be q(10). What is m rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 5*a**2 - 45*a + 21. Let o be j(9). Suppose o = -7*t + 11*t. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87269195*i + 174538366*i - 87269174*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 104\/6 - (-2)\/3. Suppose 0 = -2*s + 5*p - 4, -5*s - 2*p = -22 + 3. Suppose 0 = 6*k - s*k - 270. Calculate the greatest common divisor of k and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 12*g - 12 = 0. Suppose -2*p = -10 + g. What is the nearest to p in -1\/4, 5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155356480 - 0.19.\nAnswer: 155356479.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-60) - 44\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u**2 + 10*u - 6. Let m be k(-6). Let s(v) = -681*v - 6. Let j be s(m). Let l = -81721\/20 - j. Find the common denominator of l and -1\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -24*u + 52. Let w be o(2). Let n(b) be the first derivative of 1\/16*b**w + 0*b + 0*b**3 - 3 + 0*b**2. Determine m, given that n(m) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.8 + -0.8. Let r = -0.3 - -0.2. Let i = r - -0.3. What is the third smallest value in o, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16131068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205455*k**3 - 205343*k**3 + 410792*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-14 - (-3 + -7))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Suppose 7*r = -4*x + 2*r - 9, x - r = 9. Solve m = -x + 3, 2*p - 2*m = 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, -2, -10075, -3, 5.\nAnswer: -10075, -10, -4, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 6060 (base 9) to base 7\nAnswer: 15624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 0. Let l be h\/(-2)*(-164)\/10. Let u = -24 + l. What is the third biggest value in 2\/3, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(121)*-2)\/(1*sqrt(1584)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30016.5029 rounded to the nearest 100?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 30*r**3 + r**2 - 2*r + 1. Calculate the remainder when -19*(-3)\/(60\/92) - (-52)\/(-130) is divided by p(1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h. Let f(x) = -192*x - 12. Calculate f(b(t)).\nAnswer: -576*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 271 and 5549809?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 609.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1154 and 32653007?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118552500 rounded to the nearest one million?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 13) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-10)*(-144)\/(-54)*5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*p = 1144, 406 + 720 = -l - p. Let d = -120 - l. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2160 and 357360?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*m**2 - 6*m**3 + 0*m**3 + 8*m**3)*(1 + 4 + 1).\nAnswer: 12*m**3 - 54*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 46 - 10 - 10 to the form z*v + j + q*v**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/2)\/(8\/516). Let y = -129 + b. Suppose y = -13*t + 4*t. Solve t = -5*p + 3 + 22 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010011110 (base 2) in base 9?\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -23*q**2 - 6320*q + 1361. Determine o(-275).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1605*m + 1603*m + 1610*m - 8034*m + 1604*m + 1608*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000022 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 1 = -2*y, y + 0 - 7 = q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 72 = 126. Let w = v + -29. Suppose -67 = -5*q - g + 28, w*q = 4*g + 52. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*g - 8*g - 9*g**5 - 32*g**5 - 64*g wrt g.\nAnswer: -820*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1703*l**4*t**2 - 3*l**3*t**3 - 33503*t**3 with respect to l.\nAnswer: 6812*l**3*t**2 - 9*l**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*g - 3*b + 81, 5*b = -734*g + 737*g + 71 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-77) - (-20)\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*2*sqrt(133) - sqrt(133))*-1)\/((5*-1*sqrt(84))\/sqrt(12)).\nAnswer: -3*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117 - 132 - (-340)\/(-10)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38*k - 66*k - 16*k)*(2*k - k - 3*k)*(4 - 3 + 0) as j + s*k**2 + u*k and give s.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -44*v**2 - 60. Let w(k) = 1. Let f be (0 - -1)\/(-1)*(-5 - -4). Let g(u) = f*x(u) - 5*w(u). Differentiate g(q) wrt q.\nAnswer: -88*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**3\/4 + 29*d**2\/4 - 56*d + 49 = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87*t**3 - 11*t wrt t.\nAnswer: -522*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + c + (-2*c + 3*c + 3*c)*(3 + 0 - 2) + 4*c - 4*c - 2*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -240 or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 - 2*h**2 + 2*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -13*b**2 - 4*b + 55. Let t(s) = 3*s**2 + s - 14. Let k(m) = 2*c(m) + 9*t(m). What is the remainder when 17 is divided by k(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20*k**2 - 308*k - 8. Let b(d) = -7*d**2 - 101*d - 3. Let m(u) = 8*b(u) - 3*r(u). Factor m(n).\nAnswer: 4*n*(n + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssxx when four letters picked without replacement from {h: 1, x: 4, s: 4, y: 10}.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1973*x + 3 + 0 + 1109*x + 2*x**2 - x**3 + 1023*x to the form l*x**2 + g*x**3 + f*x + v and give f.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3889, -14256, -31167, -54622, -84621, -121164?\nAnswer: -164251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*p - l + 3*l, l = 2. Solve 4*q - 4 = -2*g, -5 = -2*q - p*q + g for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 12:54 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/21 - (-9423)\/21 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3204)\/24030)\/((-4)\/(-30)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -1012*c - 148. Let o be t(-29). Let g be (1 + 0)\/(1\/6). Suppose -g*v + 4*v = -o. Round v to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - 5*k**2 + 3. Let h be y(5). Let w = h + -2. Suppose 2*x = w + 3. Solve 4*m - 3*c - 4 = 0, m - 2*c + 1 = x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = s - 136. What are the prime factors of s?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(605) - -2*sqrt(605))*4)**2 - (sqrt(5760)*1 - sqrt(5760))\/((sqrt(32) - sqrt(8))*-3).\nAnswer: 1393920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**6\/s**(-1\/3)*(s\/(s\/(s*s*s*s**(5\/2)*s*s*s)))\/((s**(-7)*s)\/s) assuming s is positive.\nAnswer: s**(131\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dknkdkbnkbffk. What is prob of sequence fbf?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Suppose 0 = b - z*b + 6. Solve 0*r = b*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r + 17*r + 2*r - 6*r.\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52535 is divided by 6559?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, 5, 8, -5, -4\/179?\nAnswer: -4\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 - 35. Let q(g) = g - 7. Let x(p) = 13*p + 5. What is the lowest common multiple of x(0) and q(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -0.4, 0.067, 22 in increasing order.\nAnswer: -0.4, 0.067, 2\/5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*t + 6*a + 9, -3*a - 9 = -3*t. Suppose -t*c**3 - 5 + 5*c**2 + 4 + 0*c - c = 0. Calculate c.\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68334 is divided by 207.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -22903 divided by 619\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*p - 10, -7445*y + 24 = -7441*y + 4*p. Let r be 44\/(-28) - 2*-1. Which is the smallest value? (a) r (b) -16 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**4\/12 - 7*r**2\/2 - 2*r. Let f(l) be the first derivative of b(l). Let j(v) = 18*v**2. Calculate j(f(o)).\nAnswer: 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -n**3\/3 + 6*n**2 - 621*n. What is f(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -50. Let y = l - 21. Let w be 575*1\/2 + y\/62. Calculate the highest common factor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/38706 and 49\/145.\nAnswer: 5612370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -5\/13.\nAnswer: -5\/13, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 5 = -z - 0, 4*z + 14 = 3*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1410955 and 403130.\nAnswer: 2821910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*n + 4727 = -5409, -5*g - 5*n = -10135. Does 15 divide g\/15 + (-7)\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 499*f**3 + 17 - 17 + 31190*f**2.\nAnswer: 499*f**3 + 31190*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 163.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 17*j + 1. Suppose 5*w - 15 = -z, 569*z - 568*z + w = -5. Calculate l(z).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 52977349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -141117 < -141139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67460.4 + 67461. Let w = -2 - -6. What is the closest to -2\/5 in u, w, -0.1, 0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, 2, 4, -5 in decreasing order.\nAnswer: 4, 2, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17303.70222 seconds in weeks?\nAnswer: 0.02861061875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8746*l - 8686*l - 5160 = 0 for l.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 123905 and 25.\nAnswer: 619525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -113.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.876807kg?\nAnswer: 2876.807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 691 is divided by 334?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:07 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9809867663849 + 38.\nAnswer: 9809867663887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 129578645 to the nearest integer?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 1770, 0.1, -1\/6, 2, 3 in decreasing order.\nAnswer: 1770, 3, 2, 0.1, -1\/6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -1161*h**2 + 16255*h - 12. Give k(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*p - 10 = 51*p. Solve -p*s = -s + 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2295486671?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2537031, 2536671, 2536311, 2535951, 2535591?\n\"Answer: -360*y + 2537391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.9152kg to tonnes.\nAnswer: 0.0609152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 78*d**2 - 326*d - 1.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + x = -10 + 40, m - 4*x = 5. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(26)\/((sqrt(24) - sqrt(96)\/sqrt(4))\/sqrt(12) + sqrt(2)))**2 + -4.\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20.049 - 0.049. Let i = g - 19.83. Let k = i - 0.1631. Round k to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 1:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*z = 10224 + 8080. What is the highest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -3. Suppose 104 = 4*q - 2*k, -16 = -q + s*k + 10. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*p + 45. Suppose 0 = -3*c, c = -q - 0*q - p. What is the units digit of q*(-5)\/60*(-1 - -141)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 5*x = -22, 0 = 4*i - 0*x - x + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from laawbwwxwxwwxwlx. What is prob of picking 1 w and 2 l?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -5, 542, 5, 1\/4, -6\/19 in increasing order.\nAnswer: -5, -3, -6\/19, 1\/4, 4, 5, 542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 684.11 + -687. Let f = r - -3.29. Is f equal to -4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w - 9302. Let p be j(0). Let v = -186109\/20 - p. What is the common denominator of 70\/36 + (3 - 2) and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5 + 3. Suppose -2*g + 11 = -5. What is the greatest common divisor of g and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-2 + 0)) + 23 + -18\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2167255 + -51.\nAnswer: -51.2167255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*q = 5*q + 25, -2*v - 3*q = 10. Suppose -4*r + 13 - v = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2361 or -608?\nAnswer: -608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138939, 277877, 416815, 555753, 694691, 833629?\nAnswer: 972567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 7, -10, 4, -2 in descending order.\nAnswer: 7, 4, -2, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5832220 to the power of 1\/2, to the nearest integer?\nAnswer: 2415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(176)*6 + -1).\nAnswer: -120*sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2.5, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 2523\/145381?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 6*t**2 + 15*t + 63. Let m(a) = 8*a**2 + 22*a + 94. Give -7*h(l) + 5*m(l).\nAnswer: -2*l**2 + 5*l + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**4\/4 + 2*p**3 + p**2\/2 - 4*p + 1011. Calculate t(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11*a**3 - 23*a - 8. Let s(n) = n**3 + n**2 + n - 1. Let o(c) = -2*s(c) - y(c). Let r be o(-43). What is r rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792 = -31242256*v + 31242300*v for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6052.231 + 0.5\nAnswer: -6051.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a factor of 2305987440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1635, -3283, -4925, -6567, -8215, -9875?\nAnswer: -11553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 104 - 119. What is the common denominator of 134\/(-180)*g\/12 and -115\/108?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63789179.\nAnswer: 127, 502277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/63)\/((-4)\/12). Sort -1\/4, -4, c, 5\/2 in descending order.\nAnswer: 5\/2, c, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 3) + -1 + 2 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -20*t**3\/7 + 758*t**2\/7 - 1364*t\/7 - 144\/7 = 0.\nAnswer: -1\/10, 2, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, n: 2, g: 2, h: 1, z: 2, r: 1}. Give prob of sequence fr.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -28) + 102 + -88 + (6 - 1)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 6*o. Let h be (-21)\/4 + 1\/4. Let z be g(h). Determine i so that -12*i**5 - 2*i**4 + 5*i**5 + 5*i**z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/8, 18, -10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 2 = 2*a + 10, -4*v - 25 = -5*a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1767580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 439 - 62. Let l = 389 - t. Let a = -35 + 55. Calculate the lowest common multiple of l and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11218.2462 milliseconds in weeks?\nAnswer: 0.0000185486875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 278\/1019? (a) -1\/10 (b) -3 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-3587)\/85) + (-17)\/1 + -16.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -53 + 122. What is the remainder when y is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**5*p + 313*a**2*p**2 + 4*a*p**2 + 305*a*p wrt a.\nAnswer: -20*a**3*p + 626*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 2 (b) 4 (c) 2\/7 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -39*a**4 + 2466*a**3 + 1920*a**2 = 0. What is a?\nAnswer: -10\/13, 0, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q + 25. Let d be 9\/q - (-2)\/10. Let m(z) = -13*z + 6*z + 8*z + d + 7. Calculate m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.42387761 rounded to two dps?\nAnswer: -3.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 32*v**2 - 3*v + v - 23*v**2.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594184 and 59624.\nAnswer: 2056","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 22b1394b?\nAnswer: 22b13954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-12)*4\/6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 59 + 2*g - 5.\nAnswer: 2*g - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 6, t: 5, g: 2}. What is prob of picking 2 t and 1 y?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence htj when three letters picked without replacement from {j: 2, z: 3, v: 10, h: 1, t: 1}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 93905670 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18684 > 18684?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -46*v. Let x(a) = -6 + 5 - 2 + 6*a - 3*a + a**2. Let i(b) = b - 1. Let g(l) = 3*i(l) - x(l). Give g(d(c)).\nAnswer: -2116*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66728051 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 406761?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 5.9. Let s = 0.224 - 0.724. What is the nearest to m in -3, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -6182, 0, -10, 4 in descending order.\nAnswer: 24, 4, 0, -10, -6182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -1, -166, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 23 = 5*a, -1091*o + 1090*o = 5*a + 21 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 162626.\nAnswer: 1951512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-14)*(-1 - 1). Let g = -181 - -180.8. Sort l, g, -2.\nAnswer: -2, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 42. Let a be s(12). Calculate the common denominator of (-27 - -27) + (-224)\/26 - a and -101\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -26 (b) -12 (c) 2 (d) -0.3 (e) -1 (f) 345\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3357229*z**2 - 3199378.\nAnswer: 6714458*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 345869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5*w**2 - 16928*w**3 - 4*w + 16926*w**3 + 8*w**2 to r*w + b + m*w**2 + s*w**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**7\/2520 + 7*a**6\/720 - 7*a**5\/120 + a**4\/12 + 6*a**2. Let h(m) be the second derivative of y(m). What is h(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 52798194 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -3*u - 3. Let t(q) = 6*q + 7. Let y(p) = -7*m(p) - 3*t(p). Let n be y(1). Let b = -7 + 11. Solve -5*s - 10 - 17 = -b*v, 5*v + n*s = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7 and 13164 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.243826 litres to millilitres.\nAnswer: 8243.826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2494*w**3 + 2*w**2 + 3*w + 2. Let b be (-1)\/((-2)\/(-1) + -1). Is y(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 2*i + (4*i - 6*i + 0*i)*(-4 + 5 - 3) in the form n + u*i and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.448557144 rounded to four decimal places?\nAnswer: -6.4486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - 1 - (-2 - -1). Suppose 0 = b*g - 7*g. Suppose -61 = -2*h - h + y, g = -3*y - 3. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 3 (b) -3\/85 (c) 5\/28 (d) 9\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -701, 1, 0.2, -3 in increasing order.\nAnswer: -701, -3, 0.2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 8*d + 48.\nAnswer: -(d - 12)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17587 and 910843?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**4*b**(-2\/23))\/(b**(-3\/2))**(5\/8) assuming b is positive.\nAnswer: b**(1785\/368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**5*q**5)**(-9) assuming q is positive.\nAnswer: q**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2626, 2120, 1614, 1108, 602?\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**2\/3 + 326*x - 972 = 0. What is x?\nAnswer: 3, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(60\/(-36) - (-16)\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16337 by -26129.\nAnswer: -961\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002478 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155774.\nAnswer: 2, 71, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-18) - 115\/(-9). Let h = 33 - j. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**4\/8 - y**3 + y**2. Let j(a) be the second derivative of -a**3\/3 - 2*a**2 + 27*a. What is 8*j(w) - 5*m(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(6\/(24\/20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/30)\/((-8)\/5). Which is the biggest value? (a) -4 (b) u (c) -1\/4 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 65.1. Let h be (-2)\/(6\/(-5) + 2). What is the nearest to o in 5, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3654d9 (base 14) in base 15?\nAnswer: 26aaad","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 14 = 2*p - 5*p, 4*p + 5*b - 21 = 0. Suppose 1 = x - p. Solve x*h + 31 = 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2646762 + 1?\nAnswer: 2646763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7671 - 0.7041. Round q to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (-3 - -2) + 74 + -67?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -95247 times 1?\nAnswer: -95247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -456, 3, -2, -1, 0 in descending order.\nAnswer: 3, 0, -1, -2, -456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6597, 6582, 6543, 6468, 6345, 6162?\n\"Answer: -2*j**3 - j + 6600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-158)\/840007*-49*14\/2?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 7*x = 19*x + 248 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 - 15. Suppose 0 = 5*t - 7 + f. Let x = 27 + t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/4))**(-28)\/(c**(-1))**(-1\/6))\/((c**(-1\/2))**(2\/63)\/(c**5*c**(-3))) assuming c is positive.\nAnswer: c**(-649\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -2 + 0*n - 3\/2*n**2. Let w(y) be the first derivative of -2*y**3\/3 - 5. What is k(w(x))?\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 38*n**3\/3 - 12*n**2 - 224*n\/3 = 0. What is n?\nAnswer: -2, 0, 56\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + -4. Suppose -5 = -6*a + 5*a. Let n(y) = -6 + y**3 + 3*y**3 + 4*y - 3*y**3 - 2*y**3 - a*y**2. Calculate n(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47262?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1563274 divided by -2.\nAnswer: -781637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 3*w - 33, -5*h = w - 0*w - 125. Suppose 0 = 8*j - 354 + 2. What is the remainder when j is divided by h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -3\/8, 0.2, -1, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2159 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -10935 divided by 1\nAnswer: -10935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/13 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 9:14 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 404 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 160. Which is the third smallest value? (a) l (b) -1 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.02 in -0.4, -4, 3, -2, 71?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 134489748 and 12?\nAnswer: 134489748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 453, 819, 1183, 1545, 1905, 2263?\nAnswer: 2619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110536?\nAnswer: 2, 41, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7605675.\nAnswer: 3, 5, 7, 11, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 38. Let o(i) = -97*i**3 - i**2 - 3*i + 2. Let m be o(p). What is m rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(117\/(-390))*(-732)\/(-40)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.14 - -8.14. Which is smaller: -5478 or v?\nAnswer: -5478","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddddzzzddddd. Give prob of sequence zd.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 5 = 3*n, 0*n = 2*n + 5*z - 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 141140\/15*(-21)\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1118306625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) -0.86 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.803 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**22))\/b)\/b**(-17) assuming b is positive.\nAnswer: b**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 146*w + 446 = -8*i - 396, -4*w - 61 = 8*i - 3*i - 11 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.57 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 23056, 2\/3, -2, -9\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155514003?\nAnswer: 3, 2237, 23173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o = -7 + 25 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 2*b**5\/25 - b**4\/10 - 2*b**3\/15 + b**2\/5 - 2. Factor n(q).\nAnswer: 2*q*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50606683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2601236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, 4\/7, 2\/13, 5?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*z + 1, 4*c - 3*c = z + 9. Let f be (-8)\/28 - 145\/c. List the prime factors of f\/(4\/(24\/(-9))).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 128329 and 36595.\nAnswer: 164924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsh when three letters picked without replacement from shstdhstssgts.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64143 is divided by 64132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -100101111000011101?\nAnswer: 100101111000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + 22057610?\nAnswer: 22057617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10097 and 2782471.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 163, 7, -7, 23, -26 in ascending order.\nAnswer: -26, -7, -5, 7, 23, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12966025013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.19, -3, 0.4, -13\/34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003908 to 6 dps.\nAnswer: -0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 174 = -4*p + 163, 4*p - 5*u - 367 = 0. Let c be -2*33\/p + 1. Let -1 + j - c*j**2 = 0. What is j?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 = -0*q. Suppose 12 = -2*u - q*t, 25 = -3*u + 5*t + 7. Let m = u - -9. 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 360 minutes after 2:31 AM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*w + 47 - 47)*(w**3 + 4*w - 25 + 25).\nAnswer: 6*w**4 + 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46*p + 5*p**2 - 4*p**4 + 46*p wrt p.\nAnswer: -96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 3*n - 2. Let m be c(1). Suppose -v = m*v + t - 46, 4*v = 2*t + 68. Is v equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 12 - 37. Let v = 14 + -10. Let x(c) = -p*c - v*c + 6*c. Let w(h) = -2*h**2. What is w(x(n))?\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2405\/487 less than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*c - 14022 = 25542. Solve 14 = c*h - 321*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.09, 0.05 in decreasing order.\nAnswer: 0.5, 0.09, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15021 - 4*y - 15040 + 7*y + 0*y as h + g*y and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1474590?\nAnswer: 2, 3, 5, 13, 19, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -812919?\nAnswer: -1\/270973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 t, and 1 x when three letters picked without replacement from {t: 10, x: 2, r: 2, j: 2, o: 3}.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/((-162)\/(-76)))\/(10\/(-15))?\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 16*v**2 + 800*v - 676. Let g(f) = f**2 + f + 5. Let l(n) = b(n) - 20*g(n). Let l(s) = 0. What is s?\nAnswer: 1, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591889703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14515 - 13920. What is the greatest common factor of j and 1615?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 38 + 9*o**3 - 3*o**3 + 0*o**3 - 12 in the form m*o**3 + j*o + a + b*o**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1003799056*y + 1003799012*y + 0.\nAnswer: -44*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26335067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12\/2992739 - 549230454235\/53869302. Let n = -10191 - m. Let w = 132901\/12 + -11066. Find the common denominator of w and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -131, -247, -363, -479, -595, -711?\n\"Answer: -116*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*j - 0*j, 0 = -2*i + 5*j + 27. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + (-8)\/2)*(-25)\/(525\/(-84))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111681 - -188182. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**32*q)**(-12\/7))**(-2\/93) assuming q is positive.\nAnswer: q**(272\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a - 12 = 21*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**3\/3 + 7*f**2\/2 - 4*f + 81. Suppose -10*c = -15*c + 5*u + 35, -c = 5*u - 13. Calculate o(c).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.704541 rounded to zero decimal places?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33544434 (base 6) to base 3.\nAnswer: 1221001212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*z**4 - 2*z**3 - 1191*z**2 - 5*z + 1704340?\nAnswer: -16*z**3 - 6*z**2 - 2382*z - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10332.\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34043 is divided by 117?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14.9 in -2\/21, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t. Let r(a) = a + 4. Let j be r(0). Let d(z) = 2*z**2 + j*z**2 - z**2 - 4*z**2. What is s(d(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201a69 (base 11) to base 9.\nAnswer: -544377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -108, -242, -420, -636, -884, -1158?\nAnswer: -1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 261976 is divided by 29098.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52\/7 + -305\/42. Let i = 642 + -647. Let p be i\/(-15) - 1 - (-4)\/6. Which is the closest to p? (a) -0.3 (b) d (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -19*r - 3. Let y(w) = 6*w - 15*w + 13*w - 4*w + w - 1. Give -i(n) + 2*y(n).\nAnswer: 21*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**6\/120 + c**5\/10 - c**4\/6 + 23*c**3\/6 + 2*c**2 - 58. Let p be h(-7). Solve -4 = -p*f + 4*y, 5*f + 4*y - 1 = -5 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f - 2*f**4 - 10 + 17*f**4 + 35675*f**3 - 35710*f**3 to g*f**4 + l + a*f**2 + x*f**3 + m*f and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) -40.925 (c) -0.06 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 120*s**3 - 2*s**2 + s - 18. Suppose 2 = -n + 10. Let q be o(n). Suppose -4*k + 2006698 + q = 0. Round k to the nearest 10000.\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36513980 is divided by 640596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -4. Suppose -2*u + o*u + 12 = 0. List the prime factors of (3 - (-21)\/u)*-28.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 12*k = -1, -4*o = -2*k - 22 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t - 18. Let m be u(0). Let o(z) = -z - 1. Let a(s) = s + 2. Let l(g) = 13*g + 19. Let b(i) = -5*a(i) + l(i). Determine m*o(v) - 2*b(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -13, -26, -45, -70, -101, -138?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 4717.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003116435006 rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 4335 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.042, 1\/209, 0.1?\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 - -121103?\nAnswer: 120331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 1 + (-38 - -42)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2104 (base 7) to base 11\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.29 + -0.3. Let d = i - 4.99. Let y(p) = -p**3 + 74*p**2 - 525*p + 3757. Let m be y(67). What is the second biggest value in -4, 2, m, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, a: 3, h: 4}. Give prob of sequence ah.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6*u)\/u**(-6)*(u*u\/u**(-1\/4))\/u**(-1\/3))\/((u\/(u*u*u\/(u*u**0)))**(9\/11))**(1\/87) assuming u is positive.\nAnswer: u**(59689\/3828)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28178 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756 divided by 27.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**8\/112 + n**7\/35 - n**5\/10 - n**4\/8 + n**2 + 17. Suppose p(q) = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*z - 0*z. Let f = z - -10. Suppose -f = 4*g - 9. Solve -2*a - 8 = g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from hnzynhhzzzzzzzhzzr?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.3 + 6. Let m = -0.4 - y. Let n = -5.8 - -6. Which is the nearest to -0.1? (a) n (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.541 rounded to two decimal places?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 56 + -22. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -44*u**3 + 7302*u**2 + 340*u - 1335. What is c(166)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 697840*r**2 - 1395590*r**2 - 5 + 697751*r**2.\nAnswer: r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*((sqrt(243) + 0 + sqrt(243))**2 + 3).\nAnswer: 4875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6763 is divided by 117?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21155103.\nAnswer: 3, 2350567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - m = -998985 - 289409, 3*m = -5*s - 3221018. What is s rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 887 - -185?\nAnswer: a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 63 = -5*c, -3*n - 42 - 1 = 5*c. Suppose -s - 3 + 1 = 0. Let p = s - c. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 - 6*y**4 - 3*y**4 + (6*y + 2 - 2)*(2*y**3 - 3*y**3 - y**3).\nAnswer: -19*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l + 39. Let g be w(19). Let a be (1\/(-4))\/((-2)\/286). Let m = g + a. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-752)\/(-24))\/((-4)\/6). Let f = j + 44. What is the remainder when 66 is divided by 17 - ((-1 - f) + (-6)\/2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 6 = -2*x, -3*x + 14 = -0*x - f for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - ((6 - -16) + -10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 7*s + 30*s - 839 - 1771 for s.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 266.2 + 8826385577.3\nAnswer: 8826385843.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, y: 2}. Give prob of picking 1 y and 2 x.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 4*o + 27 = 0, 4*w + 0*o - o = 17. Suppose -w*d = -2 - 8. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 17833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*g**2 - g**2 - g**2)*(2*g + 0*g - 5*g**2 - 1 + g**2).\nAnswer: -44*g**4 + 22*g**3 - 11*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t - 373 = -25633. What are the prime factors of t?\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8246 and 5890.\nAnswer: 41230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 12:17 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 18*p - 623. Let f = -1 - -6. Calculate the remainder when n(35) is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 190350630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from dddmduddlududd.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.31*1.8523\nAnswer: 2.426513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13312 * 0.5.\nAnswer: -6656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*z**3 + 4*z**3 + 174*z**5 - 29*z - 176*z**5 wrt z?\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, h: 1, j: 12}. What is prob of sequence wh?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(4))**2*-1 + -1 + 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011000 + -10?\nAnswer: 1010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in 1, 2, 13743?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 436.4081 centuries to millennia.\nAnswer: 43.64081","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 - 30. Let i(v) = 3*v**2 + 7 - 8*v + g*v**3 + 5*v**2 - 4*v**3. What is i(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2 - 2725450*n + 1857019425625.\nAnswer: (n - 1362725)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (9\/975)\/(1326\/25857)*((-75)\/18)\/(-5)\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 49, 77, 127, 205, 317, 469?\nAnswer: 667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3403 + -1?\nAnswer: 3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 89 - 26 = 7*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3263240 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1504057?\nAnswer: 1504057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 133 + -127. Let a = -14 - -24. Calculate the remainder when a is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6.1. Let v = 270 + -269. Which is the third smallest value? (a) v (b) 0 (c) w (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 6*u = -204. Let p = -14 - u. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = u + 2*r, 3*u - 5*u - r = 37. Let p be 25\/u - 2\/(-8). Which is smaller: p or -12\/13?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 2. Let f be n(-2). Let l be (2 + (f - 1))*(-1 - -2). Suppose -3*h - 2*g + 15 = 0, 0 = -h - 0*h - g + 6. Solve 6 = l*q + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3*(sqrt(120) - sqrt(30)))\/(-1*sqrt(216) - sqrt(216)).\nAnswer: -sqrt(5)\/4 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 12, -1780, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from {t: 4, b: 2, y: 2}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 328919 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2*s + 26, -4*j + 2*j = -4*s + 28. Let d = 3 + j. Let q be d\/(-3) + 6\/(-9). Which is greater: 5\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32742 (base 9) in base 11?\nAnswer: -1537a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 43*x**3 + x**2 - 2*x. Let w = 67 - 66. Does 40 divide z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -12502*p**2\/3 - 8864*p\/3 - 504 = 0.\nAnswer: -378\/893, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 - (2 + -2))\/((-8)\/(-11660)). Suppose 0 = -5*h + 5*t + r, -7*h + 4682 = -3*h + 2*t. What are the prime factors of h?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390 smaller than 1389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*v + 73*v = f - 14, 9*v = -2*f + 147 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107*u**3 + 3*u + 1 - 13*u**4 - 5*u - u**2 - 107*u**3 + 3*u to q*u + l*u**3 + y*u**4 + d*u**2 + k and give y.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 9:50 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 12*w - 4. Let u(n) = -3*n**2 + 25*n - 11. Let j(a) = 5*c(a) - 2*u(a). Calculate j(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/(x*x*x**(-1\/7)))*x*x*x*x**(2\/3)*x)**6)**(-25))**(-6\/11) assuming x is positive.\nAnswer: x**(41100\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 > 563716?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11491 - 11343. What is the third smallest value in 0.3, -5, 7, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (-6 - -1809 - 4). Let t = q + 2626. What are the prime factors of t?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 + 20. Suppose -6 = -3*p - 24. Put 5, 1, c, p in decreasing order.\nAnswer: 5, 1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4200562 rounded to 4 decimal places?\nAnswer: 0.4201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1160486?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68)*3 + sqrt(68) - sqrt(68)))\/sqrt(4).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5b6 - -5?\nAnswer: -5b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-3764)\/10)\/((-161)\/4025)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -2375 - 11857. Let t = -275139\/58 + j. What is the common denominator of -35\/16 and t?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1540\/(-660) + (-1)\/39*-85. Which is the second smallest value? (a) 0 (b) u (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4060430 (base 11) to base 16\nAnswer: -6d79cf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + -7. Let c(y) = -y**3 - 3*y**2 - y + 2. Let t be c(m). Suppose t*v = -2*v - 4*j + 14, 0 = -3*v + j + 14. Solve 0 = -g + v*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103.79 - 2.21.\nAnswer: 101.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from stttttttnnqttntsn. What is prob of picking 3 t and 1 s?\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -11.9999842. What is l rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -8 (b) -1\/5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 606208022 and 4748?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011100101010 + -111101?\nAnswer: -1011101100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(19) + -1 + 3)**2 + (-5 + (sqrt(171) + sqrt(171)*2)\/sqrt(9))**2 + 0.\nAnswer: -20*sqrt(19) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrzuzuuuzuzuurzu. What is prob of sequence zrr?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = h - 30. Let r = -18 + 28. Suppose -h*d + d + r = 0. What is the highest common divisor of d and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0750255 - -0.075. What is i rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + j + 12, j - 6 = -3. Let h = 12 - 9. Let w(i) = 2*i**3 - 5*i**2 + 3*i - 4. Let o be w(h). Solve -s*r = o - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -125*b + 132*b. Let w be ((-64)\/(-12) - b)*-3. Let r be (-4)\/18 + (-41)\/(-306). Is r at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*n = 711, -3*w - 5*n + 372 = -67. Suppose -w*p = -146*p + 12. Suppose -z = 1 - 4. Solve -15 = -4*h + 3*s, p*h - z*s + 4*s - 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvnnnzznvnxnxzvxvv. Give prob of sequence nnz.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/z)**(23\/3)*(z*((z*z**(-13)*z)\/z)\/z)\/z**1)**(-2\/31) assuming z is positive.\nAnswer: z**(262\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * -0.336.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 74 + -28. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, e: 1, v: 1, p: 2}. Give prob of picking 1 v and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzzzvzzzqqqqzqzvv. Give prob of sequence qzz.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 719931 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*h - 1 + 1)*(1 - 1 - 2) - 2 - 2*h + 2)*(67*h**2 + 59*h**2 - 34*h**2)*(-h + 1 - 1).\nAnswer: -184*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4679 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 37\/2 (b) 0 (c) -0.14 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/30 - (963\/135 - 6). Let n(g) = -g**2 - 5*g - 4. Let z be n(-3). Let u be 0 - 0 - 12\/(-54). What is the closest to 0.1 in y, z, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + 99 + (-130237)\/1316\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342533181 a multiple of 6177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91\/3*2\/14 - 5.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 3*p + 262 = 0, -5*p + 170 = 3*o - 0*o. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 3 - (-8 + -19 + 13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 5*g. Let v = 423613 + -423597. What is the remainder when k(5) is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.465568 rounded to 2 dps?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/27 - 6\/27. Suppose 208 - 626 = -149*j + 327. Factor 0*p**4 + 2\/5*p**j + 0*p**2 + 0*p + s - 2\/5*p**3.\nAnswer: 2*p**3*(p - 1)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i - 18 = -7*i. Suppose 4*w - 7 = 17. What is the highest common divisor of w and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*3.962.\nAnswer: -3.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*s - 84 = 17*s. Solve 3*g - s = 5*k, 0*g - g + 3*k = -16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -366*b**2\/7 + 154839*b\/7 - 163314\/7.\nAnswer: -3*(b - 422)*(122*b - 129)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 185?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in -1\/4, -5, 4, 255?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -6750.\nAnswer: 1\/6750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 b when three letters picked without replacement from {z: 1, b: 11, a: 6}?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(540)*-1 - sqrt(540)) + (sqrt(600)*2)\/sqrt(10))\/(2*(sqrt(192) + sqrt(192) + sqrt(192)*2)).\nAnswer: -sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 1 = 2*m, -2*m = 2*l - 0*m + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by -18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 21*z + 180. Let w be b(-8). Find the first derivative of 61 - 35*o**2 + o**2 - 25*o + w*o + 14*o wrt o.\nAnswer: -68*o + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**5\/3 - 17*b**4\/3 - 8*b**3\/3 + 136*b**2\/3 + 16*b\/3 - 272\/3 = 0. What is b?\nAnswer: -2, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 4*p**2 - 4*p**2)*(-2*p + 2*p - 2*p**3) - 3*p**5 + 2*p**5 + 2*p**5 + 959 - 223*p**5 - 258*p**5 - 956.\nAnswer: -484*p**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z = z - 492. Solve 0*q - z = -4*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 1922 = -4*a, 3*a - 784 = 2*g + 658. Suppose 45*n = -3*n + a. What is the nearest to 1\/3 in n, 1\/6, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, m: 3}. What is prob of picking 3 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5\/11 - 630*k**4\/11 - 20008*k**3\/11 + 5367672*k**2\/11 + 27177984*k\/11 + 32735232\/11 = 0?\nAnswer: -192, -3, -2, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 26*l - 104. Suppose 2*h - 10 = 0, -12*f + 3*h = -11*f + 39. What is the hundreds digit of u(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(2\/3))**(-6\/19)*f*f*f**(-8)*f*(f\/((f*f*f\/(f**(-8)\/f))\/f*f))\/f)**(-5\/8) assuming f is positive.\nAnswer: f**(1635\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 805.3 and -0.3.\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2\/9, 0.4, -365, 0.35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3400 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*u**6*y + 4*u**4*y**3 - 5*u**2*y**2 - u**2*y - u*y**3 wrt u.\nAnswer: -240*u**3*y + 96*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*k**2*w**4 - 46*k**2 + k*w**5 - 3*w wrt w?\nAnswer: -180*k**2*w**2 + 20*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let g be 1\/(2\/(2 - j)). Find the second derivative of -g*b + 3 - 5 + 2 - 2*b**2 wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 603 = -b. Let h be (-3)\/15 + b\/5. What is the greatest common factor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12999 or -13000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1002077703 and 4398?\nAnswer: 2199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -187*m = -509 - 3418 for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2\/15, -0.5, -3, -16 in increasing order.\nAnswer: -16, -3, -0.5, 2\/15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251184837 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 0.2. Let d = -725 + 731. Which is the closest to d? (a) w (b) 2\/15 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469\/3*(-21 + 114)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 equal to -1\/18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*g - 8 = 101*g. Let z(t) = -3*t - 7. Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7.5 (b) 2 (c) -16\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5609066?\nAnswer: 2, 19, 147607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 5:08 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 461264 is divided by 503?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.3 (b) 5 (c) 2396\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*k + 10*k + 12*k + 1 - 2 in the form v*k + y and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -521 (b) 2\/11 (c) 2\/9 (d) -0.022 (e) 33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14447003 + 78652003. Round y to the nearest one million.\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-9)*9 + 2. Let q(j) = -j**3 - 5*j**2 + j + 6. Let f be q(-5). Solve 4*y + i = 3*y + f, 0 = 3*y - x*i - 11 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 7032*h + 6181128.\nAnswer: 2*(h - 1758)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 6) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1781 and 7274.\nAnswer: 12954994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 13*s - 18. Suppose -54 = -5*r + 4*o, r = 3*o + o - s. Solve -2*y + 22 = -4*c, -3*c + 0*y - y = r for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17794533 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(3510\/(-372)) + 16\/(-20). Which is the third biggest value? (a) -338 (b) 1\/4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21898 is divided by 666?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 90cc (base 14) in base 13?\nAnswer: b427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -10*i - 13*i**2 + 15*i + 28*i**2 - 16*i**2 - 6*i - 1. Let o(u) = -6*u**2 - 3*u + 2. What is o(d) - 2*z(d)?\nAnswer: -4*d**2 - d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138098 > 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirty-two fifths of a hour?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 9 - 5349*f + 25 + 10858*f - 5512*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1 + 6 - 2*g**2 - 7. Let i(x) = 7*x. Determine i(u(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 264 - -611a?\nAnswer: 6382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 132.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1226*n**2*v*w**2 + 5*n*w**3 - 3092*v*w**3 - v with respect to n.\nAnswer: -2452*n*v*w**2 + 5*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120311\/33 or 3647?\nAnswer: 120311\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2. Let n(s) = 5*s**2 + s. Calculate 2*n(k) + 3*o(k).\nAnswer: -2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 8*h. Let t(i) = 52318*i. Calculate t(p(d)).\nAnswer: 418544*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 + 6*u - 2 - u**3 + 1 - 1. Let z = 393 + -388. Determine b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1500 divide 48714000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-10096533\nAnswer: 1009653.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -65 + 1.2077700945\nAnswer: -63.7922299055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 2.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/30 - (116\/928)\/(2\/(-48)*1).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*t - 2*t. What is the lowest common multiple of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4 + 25545*a**3 + 72282483*a**2 + 67331632563*a - 1799935754994.\nAnswer: 3*(a - 26)*(a + 2847)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of -9*v**6\/40 - v**5\/60 - v**4\/24 + 3*v**2. Is 9 a factor of r(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2856146363?\nAnswer: 7, 408020909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67829.61ms to microseconds.\nAnswer: 67829610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -9*d**5\/10 + 29*d**4\/8 - 11*d**3\/2 + 15*d**2\/4 - d - 6. Factor m(c).\nAnswer: -(c - 1)**3*(9*c - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 4*k**5\/9 + 574*k**4 + 17618*k**3 - 249478*k**2\/9 + 862*k\/3 + 9240 = 0.\nAnswer: -1260, -33, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 991512 and 7618?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 249, 248, 247?\n\"Answer: -z + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -7, -10, -13, -16, -19?\n\"Answer: -3*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 442, 409, 364, 307?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p + 3. Let t be f(-8). Sort 3, -3, t in increasing order.\nAnswer: t, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4819 and 9717.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2457*z**2 - 2455*z - 2 = 0.\nAnswer: -2\/2457, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06231 and -6486998.\nAnswer: -6486997.93769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2. Let u(h) = -5*h - 5*h + h + 4*h. What is p(u(t))?\nAnswer: 125*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 188763949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 179 + -177. Solve o*j - 20 = 4*l - 2*j, 5*l + 4*j - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 79 - -1502?\nAnswer: 157b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 11 - 14 - 2*y**3 + 129*y**2.\nAnswer: -2*y**3 + 129*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5541*g**3 - 5530*g**3 + 16582*g**3 - 5533*g**3.\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*a = -113, 0 = 2*q + 5*a + 45 - 152. What is the remainder when q is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17624417 + 27104301.\nAnswer: 44728718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/9)*q)\/q**(2\/5)*(q**4)**22 assuming q is positive.\nAnswer: q**(3977\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 22, 80, 176, 310, 482, 692?\n\"Answer: 19*l**2 + l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1210 or 1?\nAnswer: 1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 28*q + 292. List the prime factors of r(-27).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**2 + 0*i**2 - 4*i**2)*(4*i + 0*i - 2*i) - 279*i**3 - 135*i**3 + 71*i**3 + i.\nAnswer: -347*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (7 + -24 - (1 + -5)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 AM and 11:38 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/60 + 304\/30?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10121510 (base 6) to base 10\nAnswer: 290706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 189984 - 71021. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.582 - 0.7.\nAnswer: 2.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(72) + -1 + 1)*-1)**2 + 3 + (sqrt(72) + 1 - sqrt(72))**2*5 + -3*(0 + sqrt(72))**2.\nAnswer: -568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5 - (88\/55)\/4.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234280 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*m - 3744 = -84*m. Solve 0 = m*z - 315*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 2\/19, 5 in decreasing order.\nAnswer: 5, 2\/19, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3.5. Let o = -4 - -4.5. Let r = 0.7 - o. What is the closest to -1 in 0.1, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z**3 + 2*z**3 - 5*z**3)*(33*z + 30*z + 91*z).\nAnswer: -924*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*v + 45, -2*v - 32 + 2 = -4*l. What is the greatest common factor of l and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23 + 7*g**2 + 23)*(-29 + 32 + 20) as w*g**2 + i + o*g and give w.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 3*w + 3*w - w.\nAnswer: -w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 2*y)*(3*y**2 - 3*y**2 - 2*y**2) + 0*y**3 + 0*y**3 - 3*y**3 + (2*y**2 + 2 - 2)*(-1 + 1 - y) + (y + 1 - 1)*(80*y**2 + 105*y**2 - 22*y**2).\nAnswer: 154*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 + 4\/(16\/12) + -1 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 198760075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 - 307 = -12*j. Let o be 4 - ((-75)\/j)\/(-1). Factor -o*x**2 + 3\/4*x - 3\/4*x**3 + 1\/4.\nAnswer: -(x - 1)*(x + 1)*(3*x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 4106*z**2. Let u(r) = 6*r + 15. Let h(t) = -9*t - 21. Let s(g) = -5*h(g) - 7*u(g). What is q(s(c))?\nAnswer: 36954*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0364 + 62.7364. Let f = s + -54.67. What is f rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 457\/4599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*a**5 - 50074*a**3*i - 20*a*i - 2*a - 3*i + 3694 wrt a.\nAnswer: 620*a**3 - 300444*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16509 - -3?\nAnswer: -16506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:28 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 17 - 5 = -4*v, 3 = -v. Let d(r) = -r. Let f be d(-1). Solve -4*q - 3*k + f = h, 0*q - 3*q - 3*k = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 17186284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.09 - -408.61. Let z = j - 368. Let b = -42 + z. Round b to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*1\/3*(-112041)\/422?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*g + 12 = 4*g, -f + 3 = 2*g. Suppose -n + 1788 = f*n. Suppose -l - 2*y = -n, -4*l = -2*y - 616 - 1182. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -3) + (-1 - 2) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 + 1044*a**2 - 453*a**2 - 503*a**2.\nAnswer: -2*a**3 + 88*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2336, 9325, 20972, 37277, 58240, 83861?\n\"Answer: 2329*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*l - l**4 + 9*l**3 + 0*l**4 - 8*l**3 + 9*l in the form d*l**4 + i*l**2 + g*l + u*l**3 + x and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 3*r**4 + 3*r**3 - r + 1. Let t be -2*9\/(-6) + -2. Let b(q) = q**4 + q**3 - q + 1. Let o(v) = t*f(v) - b(v). Determine w, given that o(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -28, -4666\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187.8 + -18.8. Let a = -223 + o. What is the biggest value in -4, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -24. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*w + 127*w = -3*x + 55, -65 = -2*x + 7*w for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -426 + 1705\/4. Sort 3\/5, y, 1\/21 in ascending order.\nAnswer: 1\/21, y, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*m**2 + m**2 + 3*m**2)*(4 + m - 4) - 13*m**2 + 13*m**2 + 52*m**3 + (2*m**2 + 2*m**2 - 3*m**2)*(0 - 2*m + 0) as c*m**3 + j*m**2 + w + n*m and give c.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 173, 265?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66513451?\nAnswer: 149, 446399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 5*u**2 + 2*u - 6. Let h(j) = -2*j**3 - 4*j**2 - 2*j + 5. Let r(t) = -3*a(t) - 4*h(t). Is r(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 7*a - 3*a = -6, 0 = 3*n - 3*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.661 + 87.253.\nAnswer: 92.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 34*d - 12. Let s be t(-35). Let f = s + 67. Suppose 4*n + 22 = 62. Solve 2*i - n = 2*c - 0, 0 = 2*i - 4*c - f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 2 = -7, d - 5*n = -17 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 10*f**3\/3 - 6*f**2 - 3*f. Let l(o) = 7*o - 4. Let w(k) = 6*a(k) - 17*l(k). What is the first derivative of w(h) wrt h?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millennium in centuries?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.09 + 1.39. Let a = i - 1. What is the second smallest value in 3, a, 2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 17*r - 72. Suppose 2*s + 22 = -2*w - 2*w, 0 = -2*s - 5*w - 25. Let z = 2 + s. Sort 5, z, r.\nAnswer: r, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 + -257. Does 14 divide (-1 + -27 + 0)\/(32\/j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 9*r**2 + 97*r + 130. Determine q(-9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-24)*a\/a**38 assuming a is positive.\nAnswer: a**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2504 and 694068110?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1028 and 18638?\nAnswer: 19159864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*p)*(5 - 1 - 3) + 0*p + 3*p - 2*p + p - p + 2*p + (-3 + 2 - 1)*(p - 3*p + 0*p) - p + 0*p + 2*p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/3))**(-40))**(-2\/5))**(-37) assuming k is positive.\nAnswer: k**(-1184\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)*o**8*o)\/(o**7\/(o\/(o*o\/o**(-6)))))**(3\/10) assuming o is positive.\nAnswer: o**(-81\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10247246 + 5?\nAnswer: 10247253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.1 - 1.1. Let w = 86812\/63 - 1378. Let v = 19\/63 - w. Sort 0.3, v, j.\nAnswer: 0.3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9615*v**4 + 11*v - 21401.\nAnswer: -115380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 5, 0.01, 21 in descending order.\nAnswer: 21, 5, 1, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 15*y + 5. What is the remainder when f(-16) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 4:25 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**5 + 186*h**4\/5 - 974*h**3\/5 + 166*h**2 + 600*h + 200 = 0.\nAnswer: -1, -2\/5, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*p + 9866 = 55*p + 115*p - 272 for p.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - 1 - (-4 + 0 - -8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 18*h + 23 = -h - y, 0 = h - 2*y - 55 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 - 3*a**2 + 7*a**2 + 6*a**2.\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -256823?\nAnswer: -256820","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 16*w**3 - 5*w**2 - 4*w + 16. Let s be r(6). Suppose 2*v = 2*i - s, 15*v = 5*i + 14*v - 8166. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a factor of 399141855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmxfpm. What is prob of sequence fmmp?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 83232 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 8*y**2 + y - 9. Suppose 16 = -185*r + 187*r. Determine c(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2378.06 + -2399. Let t = -21 - n. Which is the biggest value? (a) t (b) 4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 31. Determine u(12).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493.2 take away 2.01?\nAnswer: 2491.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3068 - -3121. Sort -1\/9, 2\/7, d in ascending order.\nAnswer: -1\/9, 2\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/35 and -131\/1400?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 703 = 4*s, s = 2 + 1. Suppose k + 3*l + 16 - 56 = 0, 5*k - 4*l = j. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19147939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171163 is divided by 150.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*y + 4, 5*j - 14*y - 10 = -19*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbbhehlep. What is prob of sequence pb?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let n(z) = z**3 - 8*z**2 + z - 6. Let x be n(8). Suppose -x*d = 2 + 6. Determine v(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 18 - 41 + 23.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r - 4 = 9 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3109379 (base 10) to base 3.\nAnswer: -12211222021012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4191718039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.198, -3, -0.04?\nAnswer: 0.198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 0.2.\nAnswer: 8.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*l**2 + 650*l**2 - 359*l**2.\nAnswer: -45*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58*z**3 - z**2 + 36*z?\nAnswer: 348*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(10980\/(-1008))\/(-61)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.803 - -52.2. Let p = h - 0.107. Round p to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.215 - -9.685. Let t = r + -10. What is the third smallest value in t, -1\/4, -2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = -4*i + 5*i, -4*i - 10 = -2*n. Let u be (4 - -1) + (42\/(-3) - -11). Factor -6*p**u - 19*p + 78*p - 18*p - 23*p - 2*p**n + 54.\nAnswer: -2*(p - 3)*(p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -785*c = 406*c - 43891 - 78782 for c.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*g**2 + 46168*g + 5432 = 0. Calculate g.\nAnswer: -2\/17, 1358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 11*u - 2*u + 71*u - 200 - 126 + 25*u. Suppose 4*v - n - 73 = 0, 2*v - 5*v - 2*n = -63. Calculate the remainder when b(4) is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeisukeiiiiueiiu. Give 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: Solve -1226264*b = -1226260*b + 112 for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0)*(-6)\/24\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 302972?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-31)*m))**(-1\/57)\/(m*m\/(m\/(m*m\/(m**(3\/23)*m*m)))*m\/(m**(12\/5)\/m)) assuming m is positive.\nAnswer: m**(-6643\/6555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64, 76, 94, 124, 172, 244, 346?\nAnswer: 484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0374 and 185?\nAnswer: 6.919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 + 481106*t**2\/3 - 4810910*t\/3 + 4009050.\nAnswer: -2*(t - 240543)*(t - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 4:42 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(-7)\/u))\/u*u*u*u*u**(-6)*u\/(u\/u**(-1\/2))*u\/(u*u**7)*u*u assuming u is positive.\nAnswer: 1\/sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*y**2 + 3 + 27*y**2 + y**4 - 2*y - 2*y**4 - 18*y**2 in the form z*y + l*y**3 + c*y**2 + d + j*y**4 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 10011011111?\nAnswer: -10011011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.217 - 5670640.\nAnswer: -5670640.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.53 + -155.47. Let n = c + 158.0000069. What is n rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -5 - t + 3*t + 11 - 3*t. Let f be p(8). Let d(x) = -17*x - 3. List the prime factors of d(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 6*b - 4. Let l be d(9). Put l, -4, -5 in descending order.\nAnswer: l, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = s. Let w = -0.01 + -1.99. Let v = w - 3. What is the second biggest value in s, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/((-1045)\/(-154)) + -25)\/(-1*2)?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 4 - 5)*(s + s - 4*s) - s - 2*s - 2*s)*(171*s + 1 - 86*s - 66*s).\nAnswer: -133*s**2 - 7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*t**2 - 5*t**2 + t**2 + (-10*t - 11 + 11)*(3*t - 4*t - t))*(-20*t + 6*t - 9*t) to the form y*t**2 + j*t + z*t**3 + s and give z.\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/705725 and -22\/5391739.\nAnswer: 134793475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43864 + 0.44. What is q rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -673595 (base 11) in base 14?\nAnswer: -1dd303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6, 2*z + 2*z = 5*w - 5122. What is the greatest common factor of w and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 10*y**2 + 1. Suppose 92 = 11*s - 29. Suppose -5*c - f + 28 = -5*f, c + f = s. Suppose 4*l + 2*a = c, 0*l + 5*a - 14 = -4*l. Give u(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 232695*v**6 - 5*v**2 + 71491*v wrt v.\nAnswer: 27923400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5071543 hours in microseconds?\nAnswer: 1825755480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 4*y**2 + 6*y - 3. Let k be i(5). What is the second derivative of -8*x + 5*x + k*x - x**3 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 3. Let y be g(6). Let t = y - 1. Suppose 4*d - 2800004 = 4*o, 0 = 2*d - t. What is o rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + a4b5?\nAnswer: a4b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 0*c - 3 - 6\/5*c**2 + 4*c**3 - 15\/4*c**4. Suppose j(d) = 0. Calculate d.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**5\/330 - n**3\/33 - 20*n**2. Find s such that t(s) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 3*d - 12 = 0, 0 = -3*c - 3*d - 12. Suppose 1 = 3*q - 2. Let z be (4\/(-6))\/(4\/12). Sort q, c, z.\nAnswer: c, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y - 18*y - 14 = -2*k, 0 = -5*k + 3*y + 25 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 28, -15, -174 in descending order.\nAnswer: 28, -4, -5, -15, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12659198 to the power of 1\/3, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 u when three letters picked without replacement from {u: 3, p: 3, n: 3, t: 3, k: 1, s: 7}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 181\/43500 and 19\/3000.\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 2*t + 2. Let l(m) = 3*m**2 + 5*m + 5. Let p = 57 + -52. Suppose 23 = p*i - 2. Suppose -2*w - 3 - 1 = 0. What is i*a(r) + w*l(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Suppose 0 = 4*u - 5*z + 1 + 2, -5*u + 5*z = 0. Suppose -2*n = n - u*l + 12, -d = -5*n - l. Solve n = -2*a + a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-26)*w*w*w**(-1)*w assuming w is positive.\nAnswer: w**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1211.\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72142253*k + 168190445 wrt k?\nAnswer: 72142253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 100140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1753\/7 + -250. Let d be (-3 - -4) + ((-174)\/86 - -1). Let x = d - -49\/258. Which is the closest to 2? (a) x (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.2, 0.2, -2, -3\/4, 2\/17?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 230062089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.54 in -2\/9, -1\/3, -6, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8994 - 8994.4359. What is p rounded to 2 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30604?\nAnswer: 2, 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 3:46 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3422 + 5314. Let d = r - 1623. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b6d33 (base 14) to base 8\nAnswer: 1536441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3079 + 3097. Solve -5*s + j = -3*r, 5*s - 13 - 4 = 2*r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/318 and 0 + -11 + (-2934)\/(-264).\nAnswer: 6996","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15) - ((-116)\/(-40) + -3). Let j = 0.56 + -0.66. Which is the nearest to -3? (a) t (b) 12\/7 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(512) + -1)**2 + ((sqrt(22)*-1)\/sqrt(11) - (sqrt(2) + -2)*-2).\nAnswer: 33*sqrt(2) + 509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4546720 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 372 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45397, -45399, -45401, -45403, -45405, -45407?\nAnswer: -45409","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (12 + -15 + -13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -100010000000100101100 (base 2) to base 4\nAnswer: -10100010230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 divided by 1?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143 - 4241?\nAnswer: -4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-105)\/(-5)*((-220)\/(-66) + (-2 - 2))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3248, -6538, -9828, -13118?\n\"Answer: -3290*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 187873479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*m = -4*x + 60640, 3*x = -4*m + 45475. Suppose 5*h - 5 = 0, -x = -3*i + 2*h - 5915. Suppose -16*a + i = -10*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 36, 0.1, -2, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(450) - (sqrt(450) - sqrt(450)*-2 - sqrt(450)) - sqrt(50))\/(2*sqrt(490)) + -5 + -2*(sqrt(605) + -2))**2.\nAnswer: -243458\/49 - 624*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -5 (b) -4 (c) 1\/7 (d) -0.1 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 - 0.08. Let n = 0.14999944 + b. Round n to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6730*b**2*i**3 - 49*b + i**3 - 1347586 wrt b.\nAnswer: -13460*b*i**3 - 49","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 9:54 AM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 11. Let v be -3*(-2 - (-15)\/8). What is the biggest value in n, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w - 8. Calculate the remainder when 58 is divided by x(5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -v**4\/12 - v**3\/6 + 7*v**2\/2 + v. Let s be d(0). Suppose 0*c + 4*c - 12 = 0. Solve 2*w - 5*a = 11, w - c*a = -0 + s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*w - 183*w + 84*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 682*a**2 - 683*a**2 + 0*a + 93 - 3*a + 2*a + 0*a. Let h be v(-10). Solve h = 4*x - 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -450, -877, -1304, -1731, -2158, -2585?\nAnswer: -3012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmmmmmmlmlmmll. Give prob of picking 2 l.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rll when three letters picked without replacement from {g: 7, j: 7, l: 3, r: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-12)\/198) + (-4)\/20*5.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2390 + 3760. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 858066.\nAnswer: 2, 3, 11, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11765021 * -15.\nAnswer: 176475315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 311615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17.5 - 17.2. Let w = 0.0284 - 0.5284. What is the second smallest value in 89, w, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1416374, 2832747, 4249118, 5665487?\nAnswer: 7081854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66 - 66 - 23*t)*(-15*t**2 + 8*t**2 + t**2).\nAnswer: 138*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b (base 14) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 5. Let w(i) = i + 11. Let f be w(-6). Let g be r(f). Let c = -149 - -149. Solve -4*q + 2*p = g, c*q + 6 = -4*q + 5*p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/650558887?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 105367691 to the power of 1\/3, to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjpvjjv. Give prob of picking 1 j, 1 v, and 1 p.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/11 + (-28)\/88.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -161 - -163. Solve -f*d - 1 = 7 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, w: 2, s: 2, c: 1, i: 7}. What is prob of picking 2 w, 1 s, and 1 t?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 776312?\nAnswer: 7\/776312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 10*r - 5. Let y be j(-9). Let f = 17.7 + -122.7. Let d = f - -108. Put d, y, 0.5 in ascending order.\nAnswer: 0.5, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 731156*v**3 - 3*v**2 + 18332*v + 143?\nAnswer: 4386936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 587, -892, -3359, -6814, -11257, -16688, -23107?\nAnswer: -30514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14394457)\/(-665) - 2\/20*8 a multiple of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(-9) - (-64)\/(-144).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eecc when four letters picked without replacement from {e: 2, i: 4, j: 2, c: 2, b: 6, o: 1}.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*t**5 - 61*t**2 + 16*t + 155.\nAnswer: 1200*t**3 - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*k - 17*k - 48. What is the first derivative of -4*v**2 + 6*v + 0*v**2 + 6 - 21*v + 3*v**k wrt v?\nAnswer: -2*v - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 200*j**2 - 4*j + 200.\nAnswer: 4*(j - 50)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 434 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*p + 49*p**3 + 81*p**4 + 4 + 1 - 14*p - 5*p**2 + 3*p**2 - 50*p**3 to the form a*p + u*p**2 + x + q*p**3 + o*p**4 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 6 - 14. Let r(l) be the first derivative of 1\/15*l**6 + 3\/10*l**4 + 0*l**o - 6\/25*l**5 + 0*l - 2\/15*l**3 - 2. Factor r(g).\nAnswer: 2*g**2*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-12) + (-1090)\/(-6). Let u = 577\/3 - p. Calculate the common denominator of u and 29\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -33500?\nAnswer: -33466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 93 - 0 - (-28 + 2 + 6 + -5 + 17)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, -1, 678, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 94*f. Let l(j) = -34962 + 34962 - j**2 + 5*j**2. Determine p(l(b)).\nAnswer: 16*b**4 - 376*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -214*h*p*r**2 - 61*h*p*r + 9604*h*r**3 - 6*h*r + 21*h + p*r - 2*p + 19*r - 2 wrt r.\nAnswer: -428*h*p + 57624*h*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12234 (base 6) to base 11.\nAnswer: 1407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 7 + 22. Let s = p + 5. Suppose s = -3*k + c, -k + c = -4*c. Solve 4*g + k*g = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.022*14584.1.\nAnswer: -320.8502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*j - 16*j. Suppose j = -q - 3*x - 1, -5*q + 24 = 2*x - 23. Calculate the remainder when 64 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:52 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n. Let v(i) be the first derivative of i**2\/2 + i - 41. Let t(h) = h**2 + 8*h + 6. Let u be t(-7). What is u*v(c) + 3*s(c)?\nAnswer: 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 416258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -31132031.588 - 31\nAnswer: -31132062.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 1 + 1. Suppose 3*d + 3*k - 30 = v, -2*d + 16 = 5*k - 10. What is the highest common factor of d and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 502 + -246. Suppose y + 4*o - 68 = 0, 0 = -3*y + 4*o - 3*o + p. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 899 - 900. Does 19 divide 5 - ((-840 - n) + -5 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 135 + (-11)\/((-33)\/(-18))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.5, -0.124, 4 in decreasing order.\nAnswer: 4, 1.5, -0.124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49801 + 30040. Let k = -28699 - j. Let c = k - -12987. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i**(-4)*i)\/i)\/i*i*(((i*i\/i**(-2\/7))\/i)\/i)\/i)\/(i*i\/i**(3\/2)*i*i**(3\/10)))\/(i**(5\/7)\/i**(-2\/31))**(-22\/5) assuming i is positive.\nAnswer: i**(-670\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 3*n + 1. Let c be q(-5). Suppose 1 - c = -5*w. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 12:41 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - 110101001001001010?\nAnswer: -110101001001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2\/9 + 43465894*o\/9 + 28977260\/3 = 0. Calculate o.\nAnswer: -21732945, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*p + 530. Suppose 0 = -5*t + f + p, 5*t + 2*f + 15 = 118. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196623638936805 + -0.5?\nAnswer: -196623638936805.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 1843770?\nAnswer: 3687540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + (-1 - -1))*(90 - 3). Calculate the greatest common factor of 29 and y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1637 divide 12593441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272002.\nAnswer: 2, 307, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55091*a + 370 = -55081*a for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 6*z**2 - 7*z + 31. Give t(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16 - 16 + 8*f**5 + (3*f + f - 6*f)*(2*f**4 - 4*f + 4*f) + f**5 + f**5 - 4*f**5 + f**5 - 2*f**5 - f**5 - f**5 - 4 + 4 + 3*f**5 - 5*f**5 + 5*f**5.\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 359576 and 112.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2\/5 (b) -13 (c) 7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**0*c*c*c**(-1\/3))**29)**39 assuming c is positive.\nAnswer: c**4147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 648512 to the power of 1\/2, to the nearest integer?\nAnswer: 805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - (-2 - 0)) + (23474 - 23358)\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**2*z\/(z\/(z**(15\/2)\/z*z))*(z**(-10))**(1\/6) assuming z is positive.\nAnswer: z**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -263 - 537020?\nAnswer: -537303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**2 + 112336*c + 224664 = 0. What is c?\nAnswer: -56166, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60.1 - -60. Let d = 2 - 1.8. Which is the closest to y? (a) d (b) -1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7919, -4, -11, -22, 0, -3 in ascending order.\nAnswer: -22, -11, -4, -3, 0, 7919","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0. Suppose s*n - 8 = -n. Let l = 6 + 17. What is the remainder when l is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 10 = 5*v, -6*v - 17 = -5*z - 10*v. Let f = -2\/475 - 908\/9975. Which is bigger: f or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 - 263 = 155*v - 564. Let g(x) = -3*x + 18. What is g(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188046 is divided by 5693?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 10351?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**4 - 940*r**3 - 2838*r**2.\nAnswer: 2*r**2*(r - 473)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-21 - -6) + 16 + 4.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (sqrt(432) + sqrt(432) + 1))**2 + sqrt(48) + 1.\nAnswer: 50*sqrt(3) + 1589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*s = 3*s + 45, 550*s - 555*s + 15 = -5*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 7*u**3 + 24*u**2 - 102*u + 118. What is s(4)?\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3516 - -0.1.\nAnswer: 3516.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*r + 23*r + 25*r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-2)*(-1 + 23). Let s = 24 - v. Solve -c + 0 = -s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 392 + 1007. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**9*r)\/r**32 assuming r is positive.\nAnswer: r**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 12*f - 9*f - 5*f)*(74 - 3*f - 74)*((-5 + 5 - 1)*(6 - 3 - 2) + 3 - 3 - 2) to the form c + i*f**2 + l*f and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3324 and -13\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = -10*z + 544 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*v = -7, 0*v = 4*v + 4. Let z(n) = -10*n + 16. Is 18 a factor of z(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/30 - ((-1787232)\/11520 + 156)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 31*a**2 - 16*a - 15. Let i(q) = -6*q**2 + 3*q + 3. Suppose 3*z = -5*r - 31, 51*r + 54 = 49*r + 4*z. What is r*i(b) - 2*u(b)?\nAnswer: 4*b**2 - b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 648775224 by -162193806.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-9 + 3)*(13 - 290\/20)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-5) - 206\/(-10). Suppose 3*o + 4*x = 16, 5*o + 2*x - x = c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8c9a - -5?\nAnswer: 8c9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 276, 772, 1610, 2802, 4360?\n\"Answer: 2*i**3 + 159*i**2 + 5*i + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-78)\/12)\/(-13)*(-24)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide ((-3)\/4)\/(2\/(-624))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 65208746?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -4*y - 24, -4*f + 2517*y + 16 = 2511*y for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/270 - i**5\/90 - i**4\/9 - 4*i**3\/3 - 5*i**2. Let w(q) be the first derivative of t(q). Factor w(y).\nAnswer: 4*(y - 2)*(y + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(18)*-2)\/sqrt(6) - 5*(2*sqrt(3))**2)*3.\nAnswer: -180 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -60838 divided by 1601?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = -85*l + 277967 + 85633. Is 18 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/8)\/(16\/(-64))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 144 - -5?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 113, 218, 317, 410?\n\"Answer: -3*l**2 + 114*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -452 (base 13) to base 11.\nAnswer: -616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2279 - -2280. Do t and -1\/4084 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6*h = 4*h - 2844, 4*h = -2*n + 1442. Suppose 5*z - 3393 = -n. Is 15 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(7)*1 + sqrt(175) + -2)**2 + 1 + (-5*1*sqrt(84))\/(4*-2*sqrt(12)) + -3.\nAnswer: -59*sqrt(7)\/8 + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + (1*(3*(1 + sqrt(1100)) + sqrt(1100)) - (3 + sqrt(1100) + sqrt(1100) + 1 + 5))**2 + -3).\nAnswer: -4430 + 240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2648*l - 2396*l - 394506 = -6321*l + 321951 for l.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z = -9*z. Solve -2*j + 5 + 3 = z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -8*q**2 - 7. Let o(d) = -d**2 - 1. Let y(n) = 35*o(n) - 5*z(n). Suppose 5*r - 22 = -2. Let w(i) = -2*i**2 + r*i**2 - 6*i**2. Calculate w(y(u)).\nAnswer: -100*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 323056?\nAnswer: 2, 61, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -26, -24, -22, -20, -18?\n\"Answer: 2*d - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 439282.5 kilometers?\nAnswer: 439282500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = -2*p - 613 + 199 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 1. Let s(o) = -7*o - 3. Let z(r) = 3*f(r) + s(r). Let k(v) be the second derivative of -v**3\/6 - v. Give k(z(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*p + 61 = 214 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-132)\/9*(-11 - 1). Suppose -5*v - r = -85, 0*r + 5*r + 39 = 4*v. What is the greatest common factor of q and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 - 5*r + 40. Does 16 divide i(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37835 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/1114641 and 149\/9174.\nAnswer: 2229282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 10*t**2 - 2. Let a be s(10). Let x be (a + 0 - -4)\/1. Let o = -7 + 2. Put x, -3, o in ascending order.\nAnswer: o, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l*o**2 - 4*l + 1054*o**3 - 3*o - 207 wrt o.\nAnswer: -4*l + 6324*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 344\/27 + -4871\/270. Suppose -110 = 2*a + 110. Calculate the common denominator of 77\/a*405\/(-35) and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 4*c + 0*c)*(-1 + 0 - 1) + (-7*c + 11*c + 22*c)*(2 - 1 + 1) + (-2 + 5 - 2)*(-c + 5*c - 3*c).\nAnswer: 51*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43713515, 43713506, 43713497?\n\"Answer: -9*g + 43713524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*6\/3*(-7)\/(-21)*1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -0*i - 3*i. Let n be 30\/i - (-4)\/(-14). Suppose -6*r = -n*r - 30. Solve 11 = -2*m - 5*p, p + r = 3*m - 2*p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*m - 31*m + 44*m + 5*t - 86, -3*m = -5*t + 22 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3)*(2*p**5 + p**4 - p**4) - p**4 - 3*p**5 + p**4 + (-4*p**4 + 4*p**4 - 2*p**4)*(0*p - 4*p + 2*p).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8013 + 8035 + 2*b - b)*(6 - 2 - 2)*(b - 3*b + b)*(-b - 4*b + 2*b) to the form y + n*b**3 + f*b**2 + m*b and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 3*c + 2 + 2*c + 5*c - 11*c. List the prime factors of o(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2\/5 (c) -4\/9 (d) 0.002\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12864 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28445 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 * 40.7.\nAnswer: 691.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i**3*m + 56*i*m + 305*m wrt i.\nAnswer: 6*i**2*m + 56*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1682*b - 30002 - 42905 = 2783 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72381 + 144775 + n**2 - 72389 - 1340*n to m*n**2 + s*n + q and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 78\/(-20) + 23\/(253\/99). Suppose o - 4 = 4*h + 13, 5*h = 2*o - 25. Which is bigger: p or o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -650, -651, -652?\n\"Answer: -p - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2799, -2815, -2841, -2877, -2923, -2979, -3045?\n\"Answer: -5*v**2 - v - 2793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9246a079 + -3?\nAnswer: -9246a080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002842504937 rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1184904653 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9966.6371 less than -1.3?\nAnswer: -9967.9371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 33. Suppose -2*a = -n*a - 44. Calculate the remainder when 21 is divided by -3 + (2 - a - -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1527*z**3 - 2086*z wrt z.\nAnswer: -9162*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 560976*0.0105.\nAnswer: 5890.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 83*h**3 + 2*h**2 - 2745. Let o(s) = -177*s**3 - 5*s**2 + 5489. Let k(z) = 5*a(z) + 2*o(z). What is the derivative of k(j) wrt j?\nAnswer: 183*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 + -53 + (6 + -5 - 5) + -41.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 0.3?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-27))\/(16\/16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c9b - a47?\nAnswer: -3904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -4*k - 3*d - 35, -2*k + d - 2 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1)\/f)**37*f\/f**(3\/8)*f*f**(6\/5)\/f)**(-7\/10) assuming f is positive.\nAnswer: f**(20209\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1438484*o**3*u - o*u**2 + 685*u**2 + 1111 wrt o.\nAnswer: 4315452*o**2*u - u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -1. Suppose -3*r = 48 + 54. Let j be (-2)\/10 - 19\/((-380)\/(-696)). Let s = r - j. Let t(w) = -w. What is s*t(k) + 3*l(k)?\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -273, -502, -883, -1416, -2101?\n\"Answer: -76*q**2 - q - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmm. Give prob of picking 2 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3 (b) 2.8 (c) -1 (d) 1 (e) 0.3 (f) 24.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -13 + 8, 0 = 2*r - 3*n - 257. Calculate the highest common divisor of r and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (4 + -1 - 12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87 + 96 + 4526*r**2 + 8147*r**2 - 183.\nAnswer: 12673*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -3\/29578 in decreasing order.\nAnswer: 4, 0, -3\/29578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q. Let h(s) = -s. Calculate y(h(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 44. What are the prime factors of ((-180)\/(-70))\/(2\/o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y. Let v(j) = 22188*j. Calculate v(k(h)).\nAnswer: 22188*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x - 4*x = 4*x + 7*x. What is the fourth smallest value in x, 0.2, 2\/55, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-2\/5))**(-1\/29))**(-9))**2 assuming w is positive.\nAnswer: w**(-36\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(12)\/sqrt(2) + sqrt(6))*-6)\/(sqrt(15)\/(1*sqrt(5)*-4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 3*o + 5*n, o = n - 0*n - 1. Let w(k) be the third derivative of -k**5\/60 + k**3\/3 + 9*k**2. What is w(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 2. Let m = v - 9. Solve y + 4 = m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*21\/9*3. What are the prime factors of 2*4 - (-11 - u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {f: 4, p: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 870\/(-116)*12\/(-50). Which is the second smallest value? (a) g (b) 3\/10 (c) 0.5 (d) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three fifths of a gram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:41 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - 2)*(-1 + 0). Let i(k) = k**g - 3*k**3 - 1 + 0*k**3 + k**2 - k**3. Calculate i(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -2*u + 8. Let q be (-46)\/(-24) - 1\/6. Let p = q - 13\/12. Is p bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 3:19 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4046?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m + 338. Calculate h(-20).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f = 43 + 37 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3089695059.\nAnswer: 3, 11, 2017, 15473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-22) - (1547\/77)\/17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 2:04 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*6 - 2. Suppose 10*a = -h*a + 1190. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -64, -63, -62, -61?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000159037 to seven decimal places.\nAnswer: -0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:17 AM and 12:08 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 3. Let b(s) = -s**2 - 2. Let p(y) = -4*b(y) - 3*f(y). Let u(d) = 6*d**2 - 10*d + 11. Let z(g) = -5*p(g) + u(g). Is z(13) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g + 2*g + 16*g + 58*g.\nAnswer: 95*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**3 - 40*m**2 - 95*m - 60 = 0. What is m?\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 32116*n**2 - 32120*n.\nAnswer: 4*n*(n - 1)*(n + 8030)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*w - 14, -2*w - 4*v + 9 = -5*v. Suppose 0 = 5*z - 4*d - 20, -d = -7*z + 4*z + w. Solve 0 = -4*f + 4*i - 4, -i + 2*i - 4 = z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6*q**2 - 193*q + 983. Give v(5).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5269 and -43.\nAnswer: 5226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (66\/6)\/((-2)\/(-8)). Let p = 51 - j. Let u(t) = 9*t**3 - t**2 - 6*t + 3. Is u(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 858, -0.4, -5\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*c - 2*c = 0, 2*c = -4*y + 10. Suppose 0 - 42 = -y*j. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 0.86?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2. Let s(u) = -u + 1. Let t(h) = 4*h**2 - 2*h + 2. Let r(x) = 2*s(x) - t(x). What is r(y(b))?\nAnswer: -4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 7479?\nAnswer: 209412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 241*c*i**2*q**3 + 2*c*i**2*q**2 - 2*c*i**2 + 3*c*q**2 - 3*q**2 wrt q.\nAnswer: 1446*c*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 101?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioooi. Give prob of picking 1 i and 1 o.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1668 + 1668. Solve 0 = -2*z + 4, -2*z + 10 = 3*w - s*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.1 in 0, 1283, -1.7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32554.\nAnswer: 2, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooqyy. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/((-280)\/(-1008))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (6\/9)\/((-20)\/150)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 4 = f, 4940*r = 4936*r + 5*f + 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k = 49*k - 4900. Solve 0 = -k*z + 84*z + 98 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*y - 605 = 0, 0*y + y - 504 = -4*z. Suppose 4*k + 4*x - 227 = 25, 3*x = -2*k + z. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -35*o**4\/2 + 3*o**2\/2 + 22*o - 97. What is the second derivative of i(c) wrt c?\nAnswer: -420*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) -1 (b) 2\/11 (c) 2\/3 (d) 2496\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -296*v - 1314. Does 96 divide a(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 8:18 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + 2*i**2 - i. Let c(n) = -16*n**3 + 22*n**2 - 10*n. Give -c(h) + 10*o(h).\nAnswer: 6*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 101*c**2*n*y + 4*c**2*y**3 + 2067*c**2*y - 4*c*n + 37*c*y**3 + 2*c*y**2 - 175*c + 5*n*y**3 - 2*y**3 wrt c?\nAnswer: 202*n*y + 8*y**3 + 4134*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 491 - 459. Let d(z) = -26*z - 4*z + v*z - 14. Determine d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -131.\nAnswer: -4\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-2))\/(3\/(-9)). Suppose l = 4*v - n, -2*v + 0*v + n + 10 = 0. Suppose v*b = -0*b + 2*b. Solve b = -h - 5*j + 25, 3*h - 15 = 4*h - 3*j for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.3 + 2. Let o = -0.4 - m. Let a = 3 - -2. Put o, a, 1\/3 in descending order.\nAnswer: a, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (108*z**2 - 38*z**2 + 107*z**2)*(2 - 2 - 7*z) as r*z**3 + j*z + v*z**2 + w and give r.\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 2*x = -3243, 7*u = 3*u - 3*x - 2593. Which is greater: -650 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1696731 is divided by 1538?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14145?\nAnswer: 3, 5, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1528 and 82703?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-1 + (6 - (3 - 2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15\/29 - 1\/58. Let q(w) = -w + 2. Let z be q(3). Let r = -5 + 4.8. Which is the nearest to j? (a) r (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1770250 - -3894549899\/2200. Find the common denominator of -29\/35 and g.\nAnswer: 15400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + 11)\/(2\/10). Solve z = 2*n - 4*n, -5*n = 5*h + 40 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1509 divide 7869574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 10*d**5 + 5*d**5 + (-d - 2*d + 5*d + 2)*(0 + 3 - 2)*(2*d**2 - 2*d**4 - 2*d**2).\nAnswer: 9*d**5 - 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 39524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-3)*(-6)\/(-4). Suppose k*z - 8*a + 3*a = 121, 3*z - 90 = 3*a. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*d + 10*d = -o + 6, 9 = 5*o + 2*d. Let j(h) be the third derivative of -6*h**2 + 0*h**o + 0 + 1\/6*h**4 + 0*h. Let c(z) = -z**2. Calculate j(c(x)).\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 291584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + (-3*(sqrt(228) + (3*sqrt(228) - sqrt(228))) - sqrt(228)))\/(3*sqrt(108)))**2 + (3 + 3*(sqrt(1539) + 1*sqrt(1539) - sqrt(1539)) + 1)**2.\nAnswer: 216*sqrt(19) + 13886","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 134 - 404?\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-39)\/15 - -2) + (-20)\/50. Let r(s) = s**2 + s - 1. Let y(f) = -10*f**2 + 115*f - 715. Let u(x) = d*y(x) - 5*r(x). Factor u(n).\nAnswer: 5*(n - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*h - 8 = 0, 225*h + 6 = -35*t + 34*t + 226*h + 1 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1190*r**4 - 9*r - 2?\nAnswer: 14280*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5124484\/12365067 + -2\/111397. Let k = f + -3\/37. Suppose 10 + 11 = 3*q + z, 3*q - 2*z = 12. Which is the closest to k? (a) 0.5 (b) q (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -9 - (3 + 24) - 134.\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -16520 divided by 472?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -278\/7. Which is the third biggest value? (a) 4\/5 (b) -2\/11 (c) p (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2509 is divided by 139.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (28 + 5)*3\/9. Suppose -1488 = f*o - 15*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 5*f = 66, -256*f + 248*f = 7*m - 6*m - 57 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8 - 17\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 0.4, 8.35, 48?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/20 and 77 + -74 - (270\/104 - 1)?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2421\/(-1883)*7\/(-108))\/(16\/(-9)).\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Let p be 6*1 + 4 + -5. Sort r, 1, p in decreasing order.\nAnswer: p, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 4*k**2 - 3*k + 3. Let f be p(-3). Let w be f - (-1 - (-3 + 2)). Suppose -3*r = -w*o - 3, -3*o + 3*r - 3 = 2*o. Solve 15 = -o*y - 5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 7, 1\/8, 259, 0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5653*b + 13355*b + 51284*b + 14378*b - 2 + 4.\nAnswer: 84670*b + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**5\/60 + 7*c**4\/24 + 5*c**2 - 79. Let t(l) = 0*l - 2*l + 4*l. Determine 2*s(u) - 7*t(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 - 3*r**3 - 2*r**2 + (-2*r**2 + 5*r**2 - 5*r**2)*(-4*r + 4*r + r))*(0 - 9 + 0 + (1 - 1 - 3)*(3 + 2 - 3)).\nAnswer: 75*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -94 + 142. Suppose 2*c = -2*d + 18, -2*d + c = -3*c - s. What is the remainder when 0 + (-2)\/2 - -41 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**3 - p**4 - p**3 + 4*p**3 + 3*p**2 + p - 3*p as t*p + b*p**4 + q + u*p**2 + m*p**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z**5 - 6*z**4 - 834*z**3 + 1704*z**2 + 165*z - 1050 = 0.\nAnswer: -7, -5\/7, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (-63 + 47)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4962?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-10\/3))\/(n**(-27)\/n) assuming n is positive.\nAnswer: n**(77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k + 134*k = -73*k + 2156. Solve 3*o = -11 + 20, -g + 2*o = k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -1 + 6. Suppose -7 = -3*w - y. Find the third derivative of 4*o**4 + 22*o - 22*o - o**w wrt o.\nAnswer: 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 848868 and 62484?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1854 + 1860. Solve 4*z + 8 = j*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 9*i**2 - 47*i + 85. Let n be l(-13). Solve n*x - 29*x = 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g + 8111 - 8111. Let m(q) = 9*q. Determine m(n(r)).\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*l - 37*l = -35. Calculate the remainder when 30 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147677\/6195 - 28) + (-66)\/(-15)?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.026805 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/10 and 78\/4*128\/(-2640).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -30*(16\/6)\/4. List the prime factors of (8\/20)\/((-1)\/q).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/25 of a kilogram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v - 6. Suppose w + 5*l = 4*l - 1, 0 = -w + 3*l - 13. Give b(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.046, -11\/16116, -1?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 17. Let d(q) be the first derivative of q**u - 1\/4*q**4 - q**3 + 5*q - 3. Determine d(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98076\/60 + 9\/(-15) - -3?\nAnswer: 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 75*d**2 - 323*d + 122. Give x(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/791 and -13\/204869.\nAnswer: 204869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 + -42. Let i = 9.3 + -1.3. Let k = -8.3 + i. Which is the third smallest value? (a) k (b) v (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6388046.\nAnswer: 2, 7, 31, 41, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7\/6)*q*q\/(q*q*q**23))\/((q\/((q*q\/((q*q\/(q*q**(-7)))\/q))\/q*q))\/(q\/(q*(q\/q**(-11)*q)\/q))))**(-1\/36) assuming q is positive.\nAnswer: q**(253\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 11*n**3 - 225*n**2 - 823*n - 62. Let u(x) = 22*x**3 - 451*x**2 - 1644*x - 126. Let b(p) = 5*u(p) - 9*w(p). Factor b(k).\nAnswer: (k - 24)*(k + 3)*(11*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - 10*q**2 + 9*q - 12. Let r be h(9). Let s be (-33)\/r - 2\/(-8). Let o(k) be the second derivative of -k**3\/3 + 3*k**2\/2 - 5299*k. What is o(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-9)*21*(-186)\/(-217).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7067618\/15 greater than or equal to -471175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z + 9. Suppose 4*m + 225 = 4*r + 9*m, 5*r - m = 245. Calculate the remainder when r is divided by w(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*w**5 - 2*w**4 - 77420*w**3 - 526*w - 121893 wrt w.\nAnswer: -160*w**3 - 24*w**2 - 464520*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 - 115\/(-10). Let f = -8 + r. Suppose 0 = -9*d + 4*d - 2*t + 21, -f*d + 4*t - 3 = 0. Solve 23 - d = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -4*z + 1. Let y(c) = c. Let r(i) = l(i) + 6*y(i). Let f be r(2). Is (-2)\/(-5) + 163\/f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 0 + -1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.35 and -73.\nAnswer: -25.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.233251 + -98331.\nAnswer: -98330.766749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5824 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 9 = 5*c - 27, 0 = 2*c + 4*k - 12. Let s be 590\/177*3\/c. Solve -4*g - 5 = -s*g, 4*f - 5*g = -9 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.3 (c) 15\/148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1090 - 1073. Solve 0 = -59*i + d*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 782\nAnswer: -3\/391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qyqqqqqyqyqqqq.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -5*y**3 - 2*y**2 + 1. Let d be l(-1). Suppose 5*j + z = -d*z + 90, 2*z + 54 = 4*j. Calculate the highest common factor of 10 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of x**4\/12 + x**2. Suppose 0 = 2*h + 3*h - 10. Let y(i) = i**2 + i**2 + 3*i**h. Give y(s(g)).\nAnswer: 20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(1568) + 5.\nAnswer: 4 + 28*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**5 + 4*q**3 - 4*q**2 - 10*q. Let f(l) = 2*l**5 + 3*l**3 - 3*l**2 - 9*l. Let k(m) = 4*f(m) - 3*s(m). What is the second derivative of k(v) wrt v?\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 7 (c) 0.5 (d) 14710\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 19617 divided by -92\nAnswer: -19617\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-600)\/(-10))\/(-12) + (-142)\/(-14) - 4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 510427474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4*z + 1. Let d be n(-4). Let g = d - -26. Solve -1 = 3*y + g for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*x = -676*x + 87*x - 8364 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 49*x**3 - 27*x**2 - 10*x + 38. Determine a(1).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9302? (a) -0.4 (b) 0.2 (c) -41 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -26 (b) -4737 (c) -0.2 (d) 1\/4 (e) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -121*g + 95 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v - 13. Give r(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3*g**2 + 140*g + 2332. What is the ten thousands digit of k(87)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10158, -40626, -91400, -162480, -253866, -365558?\nAnswer: -497556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**4 - 5*h**4 - 3 + 7*h + 3*h**4 - 11*h**4 + 1 to the form d + a*h**3 + r*h**4 + l*h**2 + u*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5700.\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u. Let r(q) be the second derivative of 0 + 19\/3*q**3 - 17*q + 0*q**2. Calculate r(m(h)).\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246241 or 246898?\nAnswer: 246241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 403 and 202046.\nAnswer: 6263426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 3. Let t be g(-3). Let r = t + -7. What is the third smallest value in r, -4, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = g - 1, 0 = 2*v - 2*g + 2 - 0. Suppose v = -o - o. Suppose -2*u + 3*k + 4 = -o*u, 24 = 4*u + 2*k. What are the prime factors of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 3*n. Let b be g(-3). Let u = b + 0. Solve 0 = -q - 2*q - u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-2)*(50\/15)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5 = -1. Solve -3*v + 2*v - 27 = -5*l, -g*v = -5*l + 29 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 918 divide 425391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -3303882 and -3303877 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**9\/90720 + g**8\/7560 - g**7\/1512 + g**6\/540 - 3*g**5\/20 + g**2. Let r(p) be the third derivative of u(p). Factor r(d).\nAnswer: -2*(d - 2)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 5, 14, 0.5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -6. Let b(y) = 2*y - 1. Calculate b(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 44?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, z: 2, v: 2}. What is prob of picking 1 b, 1 v, and 1 z?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -406*c**5\/5 - 13*c**2 - 19*c - 1249. Find the second derivative of p(f) wrt f.\nAnswer: -4872*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -262\/5, -15, -1, -0.07, -116?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-2\/21))\/r*r**(-19)*r*(r*r**(-3\/8)*r*r*r)\/r**(-13) assuming r is positive.\nAnswer: r**(-247\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 + 185. Calculate the remainder when r is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 314*h + 80 + 128 = -146 + 40 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 - 52*n**2 + 134*n - 301. Calculate the smallest common multiple of p(-57) and 22.\nAnswer: 91366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 228.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**3)**(-1\/67)*(v\/(v**(-3)*v))\/(v**(-1\/7)*v) assuming v is positive.\nAnswer: v**(977\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1046 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 44. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(176))**2 + (sqrt(11)*2)**2*-1.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*g + 203*g - 369 = 96*g + 1641 for g.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 9:27 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -503 + -4?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 3*p - 36. Suppose -u = -6*u + p. Calculate the remainder when 15 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -337 (base 11) to base 4.\nAnswer: -12103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 2*l**3 + 4*l**2 + 10*l + 50. Let x be t(-3). Solve 4*i + 16 = -6*q + x*q, -q - 2*i - 6 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2262.4 - -2255.4. Which is the second smallest value? (a) q (b) -0.5 (c) -4 (d) -2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2271*w + 21 = -2275*w, -3*w = -2*g + 4*g - 4*w - 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -1, -6, 1, -116, -11 in descending order.\nAnswer: 8, 1, -1, -3, -6, -11, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssq when three letters picked without replacement from {s: 3, q: 13}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-18) - (-3700)\/(-45). Let r = p + 80. Sort -4, r, 1, -5.\nAnswer: -5, -4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 (base 9) in base 13?\nAnswer: -39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2393, -9557, -21497, -38213, -59705, -85973?\n\"Answer: -2388*g**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, -23, -182, -501, -1034, -1835?\nAnswer: -2958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/18 - (48\/27 + -2). Suppose 5*w = -2*h - 2*h + 241, h + f = 0. Let q = 61 - w. Solve -3*y - q = y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 185647?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**3\/3 + 2*t + 2. Let q(o) = 116*o**2. What is j(q(y))?\nAnswer: 232*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 - 1. Let t be h(-1). Suppose o = k + 2*k + 8, 8 = t*o + 2*k. Suppose 0 = 2*c + o - 3. Is c at least -1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m. Let i(n) = 18122*n. Determine c(i(j)).\nAnswer: 36244*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -549, -834, -1197, -1638, -2157, -2754, -3429?\n\"Answer: -39*a**2 - 168*a - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 14. Let m = -7.89 - t. Let n = m + 2.89. What is the second 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 k = 107231 + -48908. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 1889*j + 1869*j - 5619*j + 1885*j. Let d(k) be the first derivative of 0*k + 0*k**2 + 2\/3*k**3 + 1. Determine d(v(b)).\nAnswer: 1152*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8096607763 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1701 and 26379837.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2666*f = 2669*f + 36 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 0, -0.08, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38339069 - 12259069. Round v to the nearest 1000000.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/90 and -1 + 4788\/459 - 11.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 161.6 - 69.6. Let n = 1296 + -1388.1. Let p = y + n. Which is the second biggest value? (a) 5 (b) -0.42 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*d - 8. Suppose 2*o + 2247 = 5*t + 128, 0 = -d*t - o + 844. What are the prime factors of t?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423518159 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (60\/(-36))\/((-1)\/6) + -7. Solve d*q - 5*q = -10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-67)\/23 - 6\/69. Put v, -0.1, -2\/69, 2 in decreasing order.\nAnswer: 2, -2\/69, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 241040165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -273 + 95 + 91 - 452*d + 87 as a + s*d and give s.\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -14.4. Let f = 0.1 - k. Let q = f + 3.5. Put q, 0, 4\/7 in descending order.\nAnswer: q, 4\/7, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/160*10)\/(6\/8)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**4 - 35*u**3 + 55*u**2 - 21*u + 4. Let b(v) = -35*v**3 + 55*v**2 - 20*v + 5. Let r(j) = -4*b(j) + 5*n(j). Factor r(s).\nAnswer: 5*s*(s - 5)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4365 - -4618. What is the least common multiple of 207 and s?\nAnswer: 2277","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4249*o + 1375 - 678 - 697 to the form b*o + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51709.\nAnswer: 7, 83, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/3024 + (-151)\/(-9513)\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1005 by -986.\nAnswer: -1005\/986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13200 = 39798*j - 40326*j for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 347509*a - 2*a**3 - 347509*a.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 129830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**3 - 52*x**2 + 2*x + 38. Determine i(-26).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 5*x - 24 - 31, -5*h - 4*x = -50. Suppose 2*u = -u + h. Factor 0*a**u + 0*a**2 - 2 - 4*a - 2*a**2.\nAnswer: -2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28902 + 29170.285. Let d = v - 268. What is d rounded to 2 decimal places?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-58)\/22 + 20\/(-55). Let d be (-36)\/54 - (q + (-30)\/(-9)). Suppose -4*k + 8 = -4. Is k less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 155246744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**2 + 29*m - 30. Let u be c(1). Solve 7*k - 9 = u*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-315)\/(-36) + -9)\/((-2)\/272)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*u, 0 = 3*g + 2*g + 2*u - 780. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {i: 1, e: 2, w: 2, f: 8, r: 1, m: 6}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 619, 3472, 10385, 23140, 43519, 73304?\nAnswer: 114277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 28256 = -2*b, -2*y - b + 11298 = -4*b. Suppose -y = -5*h + 46713. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/47 and -41\/470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsopspososoo. What is prob of picking 1 s and 1 o?\nAnswer: 25\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 119*-6.\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/4)\/(630\/420)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 8) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -3) + -8 + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9939, 19887, 29843, 39807, 49779, 59759, 69747?\nAnswer: 79743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 6*r**2 - 7*r - 3. Let k be g(-5). Suppose 11*u + 32 = k*u. Let f = u - -105. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 6855?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d + 2. Let v be m(0). Let z(g) = 3*g**v + 0 - 2 + 2. Suppose 9*a - 11 = -2*a. What is z(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6 times -8?\nAnswer: -68.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 95565 to the power of 1\/2, to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 4\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -2 (c) -3\/2 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 1760?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2257 * -224\nAnswer: 505568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 2*s - 3 - 3*s - 2*s.\nAnswer: -3*s - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + (2 - 0))*(-46 - 0). Suppose -2*w - 176 = -4*u, -2*u + 0*u - 312 = 4*w. Let y = c + w. What is the remainder when 31 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1164733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -651 - -653. Let x(r) = 165*r**2 + 4*r - 5. Let h(o) = 824*o**2 + 19*o - 24. Let n(c) = -2*h(c) + 11*x(c). Is n(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937702 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 4*h**2 + 3*h + 4. Let v be a(-3). Suppose 4*q = l + 18, -v*q + 2 = 5*l - 4. Suppose -5*j + q = -6. Solve g = -j*g - 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10420 - 7841. Is g 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 11:12 PM and 11:24 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.18 + -0.08. Suppose -50*z - 40 = -82*z + 40*z. What is the closest to i in z, -3, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 2. Let d be m(0). Suppose 7*l - 3*l + 5*x = -45, 0 = 5*l + 5*x + 50. Put l, d, 1 in ascending order.\nAnswer: l, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 2*s - 54 - 20, 0 = -k - s + 25. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*z - 35*z**2 - 117*z + 226*z + 3 - 163*z**2.\nAnswer: -198*z**2 - z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(45))*-3 - (sqrt(1620) + (sqrt(1620) + 1)**2)*2)*2.\nAnswer: -6454 - 198*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45166569 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -83, -166, -265, -386, -535?\n\"Answer: -i**3 - 2*i**2 - 70*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 3267.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 80 = -4*l. What is the remainder when 159 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21687, 1\/2, 132 in decreasing order.\nAnswer: 132, 1\/2, -21687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.3 - -50. Let p = -5.7 + j. What is the second biggest value in p, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1724, -3399, -5022, -6587, -8088?\nAnswer: -9519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1098 and 14760.\nAnswer: 900360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.13, 1, 0.07, 0, -0.08?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 - 15. Let g(r) = -r**2. Calculate m(g(n)).\nAnswer: -5*n**4 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)*d*d\/(d*d**(1\/4)*d)*d)**(2\/85)\/(((d*((d\/d**(-4)*d)\/d*d*d)\/d)\/(d**(-2\/5)\/d))\/((d\/d**(2\/9))\/(d*d*d**(-1)))) assuming d is positive.\nAnswer: d**(-13201\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5 - 11. Suppose -5*t = 5*c - 2545, -c + 2531 = a*c - 2*t. Suppose -2*y + 3127 + c = 0. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-82)\/(-123) - (-2)\/(-3) - -267. Solve -a*p = -269*p + 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 10 = -4*u, 5*y - 22 + 4 = 4*u. Let m(a) = -2 - y*a + 0*a - 2. What are the prime factors of m(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (10\/(-15) - 10))\/((-8)\/(-21))?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22.51 + -0.51. Let w = -20 + s. Is -2 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54792563 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y**3 + 4*y**2 - 36*y - 87. Calculate s(-2).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 74, 141, 234, 353?\nAnswer: 498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 1662777*n**2 + 3 - 1662775*n**2 + 2 - 5 + 2*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/198 and -38\/121.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*t**4 + 12*t**5 + 4*t**5 + 8*t**4 - t + t**5 + t + (-2*t + 2*t - 2*t)*(3*t**4 - 2*t**4 + t**4).\nAnswer: 13*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 129374*n - 129356. Determine w(1).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12168\/(-630))\/(-13) + 6\/(-5)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*d**4 + 1955*d**3 + 1615*d**2 - 1955*d - 1650 = 0 for d.\nAnswer: -55, -1, -6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/71163 and -71\/4215?\nAnswer: 99984015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 120643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 + 16 = 0. Let l = -66 + 73. What is the greatest common divisor of w and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-4)*(-48)\/(-28)*-1\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(4\/47748) + -2. Let n = 143123\/12 - h. Calculate the common denominator of ((-74)\/555)\/(4\/(-157)) and n.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(-51))\/(22\/(-258)) + -5 + 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -49895561*a**3 + 686937678.\nAnswer: -149686683*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.6577 + -70.7157. Let d = j + 66. What is d rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c**2 + 6*c + 14. Let q be m(6). Let r(a) = a**2 + 19*a + 7. Let p be r(q). Suppose -2*h = -77 - p. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200369 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -644*z + 3. Let m be r(0). Factor -4\/5*l**2 + 2\/5*l**m + 2\/5*l + 0.\nAnswer: 2*l*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -5, 3, 0, -4, -71350 in increasing order.\nAnswer: -71350, -5, -4, 0, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*d**2 - 24*d**2 + 4476*d + 46*d**2.\nAnswer: d**2 + 4476*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -43. Let m = n + -19. Which is smaller: 2 or m?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 49*i**6\/40 + i**5\/60 - 19*i**4\/12 - i**2 + 14*i. Find the third derivative of q(x) wrt x.\nAnswer: 882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-28)\/(-12)) + -1. Suppose q*l + 320 = 796. What are the prime factors of l?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*(o\/(o**(-28)*o))\/o)\/(o*o**28*o))**28 assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -131 (b) 1\/2 (c) 13 (d) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0.6. Let q = -13 - -17. Suppose 13 = -2*d + q*d - n, -4*d + 6 = 2*n. What is the third biggest value in 0.1, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -41200036?\nAnswer: 41200041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/11058309 and 36\/1595.\nAnswer: 608206995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*r + 6*r - 6*r.\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*s + s**2 + 0*s**2 + 12*s - 3*s**3 as i*s**2 + o + x*s + d*s**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -126 (c) -740\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3680*p**3*t + p**3 + 3*p**2*t + 118*p**2 - 416514*p*t - 2*t - 2 wrt p.\nAnswer: -22080*p*t + 6*p + 6*t + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/((-6)\/2) - 2. Let h(s) = -s - 4. Let o(j) = 5*j. Let y(a) = 23*a + 1. Let t(v) = 18*o(v) - 4*y(v). Let q(z) = 3*h(z) - 2*t(z). Give q(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 3 = -2*x. Suppose 5*d - 3*z - 2*z - 5 = 0, -2*d + 5*z - 10 = 0. Suppose 5*j - d = x, 2*j - 173 + 69 = -v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -195\/260911 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211804?\nAnswer: 2, 52951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10596 - ((-6)\/(4 - 6) + -13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/7)\/o)\/(o\/o**(-6\/5)))\/(o\/((o**(-2\/3)\/o*o)\/o)*o)**2 assuming o is positive.\nAnswer: o**(-1076\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7da01 (base 14) to base 4\nAnswer: 1022311301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 2*g. Let v(p) = -9*p + 4*p - p + 4*p + 2*p**2. Determine 4*v(q) - 3*w(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 23*i - 25, -5*i - 13 - 2 = 3*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-468)\/(-104)*553\/(-237).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506554899?\nAnswer: 3, 17, 173, 57413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 284411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2471223027?\nAnswer: 3, 7, 13, 1293157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llzzzllzzzz. What is prob of picking 2 l and 2 z?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4}. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 4*d - 3*d)*(-9*d**2 - 2*d**2 - 2*d**2 - 2*d**2 - d**2 + 4*d**2 + (0 + d + 0)*(2*d - d + 0*d)).\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + 50\/30. Solve 3*w = -r*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.17 - 1.83. Which is smaller: -10 or c?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a gram in milligrams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/482 and -21\/58.\nAnswer: 13978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 630 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.13 in -4, 1\/5, -0.09?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 3:36 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6871*s + 6426 wrt s?\nAnswer: 6871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/(c*c**(-1\/5))*c))*c**(-4)\/c)\/((c\/(c\/(c**5*c)))\/c**(1\/17)) assuming c is positive.\nAnswer: c**(-828\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-3) + 2\/(-16)*102880\/3858.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1527 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkbkskx. Give prob of picking 1 b and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -73.881.\nAnswer: -369.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6067a (base 11) to base 5\nAnswer: -10314114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 - -12) - 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 2:24 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1162502 and 451242.\nAnswer: 1166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 3789*i**5\/20 + 23*i**4\/3 - i**3\/3 + 1792*i. Find the third derivative of r(a) wrt a.\nAnswer: 22734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -52488*g**3\/5 - 146448*g**2\/5 + 471814*g\/5 + 1319766\/5.\nAnswer: -2*(g - 3)*(162*g + 469)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(1300)*-2 - sqrt(1300)) + -2 + sqrt(1300)) + -4)**2.\nAnswer: 240*sqrt(13) + 46804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 38, 56, 88, 134, 194, 268, 356?\n\"Answer: 7*v**2 - 3*v + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 31, 93, 173, 253, 315?\n\"Answer: -3*w**3 + 27*w**2 + 2*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16466 minus -1884?\nAnswer: 18350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 763*q**2 + q - 53. Let a be j(-7). Suppose -a = v - 4*v - u, v - 2*u = 12447. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - u - 9. Let t be k(0). Let j be -2 - -2*t\/(-2). Suppose 0 = -2*b + j*b - 35. Which is smaller: b or 8?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b. Let n(l) = -113*l**2 + 734*l. Give n(o(s)).\nAnswer: -113*s**2 - 734*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.4538 to 1 dp.\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4968 = -1966*k + 1974*k. List the prime factors of k.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bnn when three letters picked without replacement from hnnhbbnnbhnbb.\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6099 + -36469\/6. Let v be 20\/(-110) + (-21551)\/(-132). Let d = 162 - v. What is the common denominator of d and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u**6\/u)\/u))\/u)**(-38))**(-39) assuming u is positive.\nAnswer: u**(-5928)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 292, 303, 328, 373, 444, 547?\n\"Answer: d**3 + d**2 + d + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -66*a + 19. Let d be 4\/10*(-20 + 0). Is u(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/407772 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.09 (b) -0.4 (c) 257\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5127*h**3 + 10259*h**3 - 5130*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204 - 102 = 20*l - 138 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 80524020 divided by 2\nAnswer: 40262010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1115 + -2)\/(2 + 25\/(-20)). Suppose -91*p - z = -95*p. What are the prime factors of p?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2, 5*r + 5*v - 129 = v. Solve 6*i - i - r = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/19, -0.7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/39 + ((-231)\/11 - -21).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -t + v - 913 + 905, 4*t - 5*v = -35 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5744512?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*f = 5362 - 5270. Suppose 0 = -3*z - 3. Let j(t) = 2*t + 1. Let y(c) = -1. Determine f*y(s) + z*j(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 286517.5 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(5*(-6)\/(-1670)).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7))**(2\/17)\/((m*m**(2\/35)*m)\/m*m*m*m**16) assuming m is positive.\nAnswer: m**(-11379\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4685, 9367, 14047, 18725, 23401, 28075?\nAnswer: 32747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {c: 1, l: 2, n: 1, u: 1, y: 4}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1219\/12 + 1501\/15. Calculate the common denominator of q and 37\/3.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 12:21 AM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.095 - -64.905. Let y = -65 + q. Which is the nearest to y? (a) -2 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3255*h = 4804*h + 66607 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**2 - 3*n - 2. Let g be l(-2). Solve r = 4*r - 3*a + 27, -a + 4 = g for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 394? (a) 2\/3 (b) -1 (c) -34\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = 2. Suppose -4*c - 2*k - 30 = -z*c, 2*c + 3*k = 53. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 8*w = -18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(128 + -164 + 990\/27).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = h + 79 - 72, 4*u = 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) 8 (c) 0.3 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*x - 28*x + 87 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 0)*-5 + -2*sqrt(75)*-2)*5 + 2*(2*sqrt(75) + 3 - (-1 + sqrt(75))*2)**2.\nAnswer: -25*sqrt(3) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 341 - 324. Let 39*k**4 + k**2 - 57*k**4 + k - k**3 + 0*k + p*k**4 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 9*c**2 - c + 21. Calculate t(-10).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c. Let j(u) = 1369410*u. What is m(j(l))?\nAnswer: 1369410*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2607165 divided by -165\nAnswer: 15801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**3\/2 + 3*c**2\/4 - 10. Factor t(i).\nAnswer: -3*i*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 19*c**2 - 2*c - 43. Calculate a(-19).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 9*i - 3. Give v(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 5:54 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -4. Let l = 15 - 14. Put l, -2, c in descending order.\nAnswer: l, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.81 - 23.81. Let k = 0.08 + -0.11. Put t, k, 5, 0 in decreasing order.\nAnswer: 5, t, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of 2\/15*x**6 - 2 + 4*x - 3*x**4 + 10\/3*x**3 + 3\/5*x**5 + 0*x**2. Solve t(b) = 0.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 4:00 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 19 - 621*a + 36.\nAnswer: -621*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -328, -1299, -3334, -6823?\nAnswer: -12156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*b - 14, 2*x - 7 = 3*x + 5*b. What is the tens digit of (56\/(-70))\/(x\/(-1725))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1 - 5) + (19 - 10))*660\/(-100).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/108)\/((-161)\/1449).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 14\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 5*x**2 - 6*x. Let u be w(6). Suppose 3*n = -3*n + u. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/40)\/((-21)\/12)*-2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -41.037. Let y = s - -0.537. Which is the third smallest value? (a) 1\/4 (b) 2\/15 (c) -0.2 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3 - 1. Let i(v) be the first derivative of -5\/2*v**2 + 0*v - 11 + 1\/3*v**3. Calculate i(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s + 0*s**2 - s**2 + 12 - 2*s. Suppose -3*c = d + 38, -3*d - d + 30 = -2*c. Calculate i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of 5*b**4\/144 - b**3\/72 + 9*b. What is m in r(m) = 0?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1195594 divided by 1387?\nAnswer: -862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -174 - -174.000142. What is a rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14090.62 and 7.4.\nAnswer: 104270.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 11:37 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 18*u - 2. Let j(q) = -q**2 - 3*q - 3. Let o be j(-3). Let m be v(o). Let y be m\/(-9) - (-2)\/(-9). What is the highest common factor of 6 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u + 25. Let f(h) = 3*h + 24. Let a(n) = 7*f(n) - 6*w(n). Let z be a(-5). Factor o**3 + 3 + z*o**2 - 5 - 4 - 5*o - o**2.\nAnswer: (o - 2)*(o + 1)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 + 5 - 3 - 1 + 0 - 3 + 4 + (0 - 2 + 0)*(2 - 1 - 2) - 3 + 0 + 2)*(2*v**4 + 92*v**5 + 46*v**5 - 2*v**4).\nAnswer: 276*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1984222521 + -56?\nAnswer: -56.1984222521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75.8 - -76. What is the second biggest value in v, 3, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 106\/10 - (-2)\/5. Let u = 15 - g. Let m(c) = 15*c + 1. What are the prime factors of m(u)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11382, -46177, -127794, -279645, -525142, -887697?\n\"Answer: -3902*b**3 + b**2 - 7484*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3298\/9 + -362. Calculate the common denominator of f and 70\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/60 + 2\/10. Suppose -b + 4*b - 3 = 0, i = -k + b + 4. Suppose 0*j - 3*j + 4*c + 139 = 0, -k*j + 185 = 5*c. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327991 = -4*l - 3*w, 3*w = 4*l - 384294 + 56285. Round l to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31.4 smaller than 32\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-4 - 4)) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, r: 1, b: 6, k: 1, h: 1}. What is prob of sequence hekb?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356*k - 216 = -368*k. Calculate the least common multiple of k and 200.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**5\/7 - s**4 - 15*s**3\/7 - 13*s**2\/7 - 4*s\/7.\nAnswer: -s*(s + 1)**3*(s + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -304*k**2 + 22484*k + 888 = 0. Calculate k.\nAnswer: -3\/76, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539)*1 + -5)**2*3.\nAnswer: -270*sqrt(19) + 4692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = 4*n. Let b be (-2 - (2 + -2))*n. Let x(a) = 4 + a - b*a + 0*a + 2*a. Determine x(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 1\/336*s**8 - 1\/105*s**7 + 1\/30*s**5 - 3*s**2 + 0*s**3 + 0*s + 0 + 0*s**6 - 1\/24*s**4. Solve h(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6117049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 5 - 5 + 0*i - 4*i + 3*i + (1 + 1 - 1)*(-5*i + 2*i + i) + 6*i - i - 3*i + 4 - i - 4 + (15*i - 173 + 173)*(23 - 15 + 45).\nAnswer: 791*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from acacccaccacac.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-164)\/(-4)*523\/(-523)\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - f + 29409 - 75311 = 0, 3*x = 3*f - 137694. What is x rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = t + 14. What is the smallest common multiple of 7 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -104198 - 14.91.\nAnswer: -104212.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3164*l - 1844 + 1844.\nAnswer: -3164*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 10335, -0.1, -1\/7, 384, 5?\nAnswer: 10335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**7\/70 - 5*w**3\/6 - 3*w**2\/2 - 3*w. Let a(k) be the first derivative of t(k). What is the derivative of a(u) wrt u?\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11111011 (base 2) to base 4\nAnswer: -3323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-4 + -6*-1*sqrt(11)))**2.\nAnswer: -768*sqrt(11) + 6592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 10:08 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -86, -160, -252, -368, -514?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -3*z**2 + 2\/15*z**7 + 0*z**4 + 6 + 0*z**6 + 0*z + 0*z**3 + 17\/60*z**5 - 1\/168*z**8. Find the third derivative of g(w) wrt w.\nAnswer: -120*w**2 + 672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 5*m. Suppose 3*c = -0 - 3. Determine f(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7830496 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 8) to base 9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**3\/3 + 50*r**2\/3 - 128*r\/3 - 480 = 0.\nAnswer: -4, 9, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -12, -46, -114, -228, -400, -642, -966?\nAnswer: -1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 18 = 8. Suppose -4*k + 18 + j = 0. Solve 5*y - 5 = k for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27703 to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 1. Let a be w(1). Let z be 3 - (a - (-1 + 7 + -3)). Suppose -z*m - 19 = -7*m. Solve 2*j = 4*b - 7*b, m = 2*b - 5*j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2004 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1673229*v**2 + 330111 wrt v?\nAnswer: 3346458*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(63) - (sqrt(63)*-2 + sqrt(63)))*-1 + sqrt(567)\/(sqrt(36)\/sqrt(4)).\nAnswer: -3*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:10 AM?\nAnswer: 5:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5521?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 r, and 1 m when three letters picked without replacement from {t: 5, m: 5, l: 1, r: 4}?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2. Let p(j) = 50*j - 9*j - 18*j - 11*j. Give x(p(m)).\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -280300 divided by -20\nAnswer: 14015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 326\/35 - 68\/7. Let w(b) = -b**2 + 7*b - 3. Let r be w(7). Put r, h, 5 in descending order.\nAnswer: 5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 999 + -11020\/11. Let c = 3148660773431\/380098631710 - -2513\/15900382. Let k = c + 6\/3415. Calculate the common denominator of a and k.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, w: 3}. What is prob of picking 1 w and 1 f?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 40.7, 61?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 4*p**3\/3 + 8716*p**2\/3 - 5131444*p\/3 + 675622724\/3 = 0.\nAnswer: -2681, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195028900 divided by -1070.\nAnswer: -182270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9531*m - 4942 wrt m?\nAnswer: -9531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 = -w, -3*w = 2*p - 0*p - 11. Let g = 1 + w. What is the smallest common multiple of g and 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 407 divide 916972628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 times -2418504?\nAnswer: -331335048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:32 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 347 - 345. Let z = -2.5 - -0.5. Let v = -1\/31 + 34\/93. What is the nearest to p in z, -0.3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 251862389 to the nearest integer?\nAnswer: 15870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/744 and -83\/2790.\nAnswer: 11160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/2, 0, 5, 0.3, -0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 13. Let r = 8.3 - 8. Let y = -2.9 + -0.1. What is the second biggest value in r, y, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, p: 3, u: 4, a: 1, e: 1}. What is prob of picking 1 a and 1 p?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3271957 * 0.5.\nAnswer: -0.16359785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4168304519*i + 4*i**3 - 4168304519*i.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/8, -0.4, 2, -26?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14076912?\nAnswer: 2, 3, 293269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357477805?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/472739 and -80\/261459.\nAnswer: 46801161","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/15*9)\/(1920\/(-57600)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2142\/5, 2, -7, 3\/7 in descending order.\nAnswer: 2142\/5, 2, 3\/7, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 16*b - 1. Let w be t(1). Let o be ((-5)\/w)\/(3\/2). Let q be -2 - ((-2)\/(-1) - 3). What is the second smallest value in q, 2\/17, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9764.364 micrograms?\nAnswer: 9.764364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.239\nAnswer: -0.478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 296*z**5 - 8*z**3 - 14*z - 6. Let d(h) = 99*h**5 - 3*h**3 - 5*h - 2. Let t(a) = 8*d(a) - 3*o(a). Find the second derivative of t(x) wrt x.\nAnswer: -1920*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t**3 - 46*t**3 - 4*t**3 + (5 - 5 + 2*t**2)*(-2*t + 0*t + 0*t) + 0*t**3 - 4*t**3 + 3*t**3 to o*t**3 + r + z*t**2 + c*t and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 33*w**2 + 1629*w - 47081. Calculate k(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*n - 7*n. Let w be 8 + n - (-1 + -1). Suppose 18 = 5*r - 3*f + 2*f, 0 = -w*r + 3*f + 2. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 921.453um?\nAnswer: 921453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 0 + 0*d + 27*d**2 + 0*d**3 + 3\/10*d**5 + d**4. Find the second derivative of l(w) wrt w.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/581 and 52\/49.\nAnswer: 4067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v - 10. Let q(x) be the first derivative of 2*x**2 + 11*x + 2. Let o(w) = 5*c(w) + 6*q(w). Let r be o(0). Solve 0*b = -4*b + r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3310220103 - -12?\nAnswer: -3310220041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (62 + 11 - 19)*((2 - 2 - 3)*(-3*p**3 + 0*p**3 + p**3) + p**3 - 2*p**3 + 2*p**3) in the form s + v*p**3 + j*p + g*p**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 501?\nAnswer: -4\/501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d\/d**(-1))))\/d)**(-6\/11)\/((d\/(d**(-1\/7)*d))\/(d\/(d\/(d*d*d*d**4*d))*d)) assuming d is positive.\nAnswer: d**(640\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 892030620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004760101 rounded to 6 decimal places?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6*(2 - (-16)\/(-12)). Let a be 30\/(-1884)*b\/5. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 27. What is the units digit of (4\/f)\/(7\/(-105))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2*(1 + -3). Let v = 4 - w. Solve 6*k = -n + v*k - 8, 3*n = 4*k + 28 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6*h**3 + 89*h - 89*h)*(1 + 3 + 2).\nAnswer: -36*h**3 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3088, -6090, -9004, -11836, -14592, -17278, -19900?\n\"Answer: -u**3 + 50*u**2 - 3145*u + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:13 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -34*v + 32. Suppose 0*t - 5*t = 0. Suppose t*n - 11 = -2*n - w, -v*n = w - 15. Solve n*b - b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a894 - 4?\nAnswer: 5a890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 7*g**2. Let l(z) be the second derivative of -11*z**3\/6 + 3*z**2\/2 + 48*z + 3. Give l(q(a)).\nAnswer: -77*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1246 and 4438.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342*w - 31326 = 1388*w - 42446 - 42510 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.1 + 3. Let t be (5\/4 - 2)\/((-45)\/60). Which is the biggest value? (a) 0 (b) t (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1213 - 21100?\nAnswer: -22313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -991 - -6005\/6. Find the common denominator of (13\/6)\/((-22)\/18) and s.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 4. Solve 0*t - t = v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 13 + 22 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45? (a) 2\/17 (b) -2 (c) 4 (d) -1\/4 (e) 243\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 3 + 7\/10*f**3 - 1\/100*f**5 + 0*f - 3*f**2 - 3\/20*f**4. Factor v(w).\nAnswer: -3*(w - 1)*(w + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6309 and 2804?\nAnswer: 25236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 250\/(-11)*9\/(2 - 5). Let b = m - 68. Factor 2\/11*n**2 - 2\/11*n**4 + b*n**3 + 0*n - 2\/11*n**5 + 0.\nAnswer: -2*n**2*(n - 1)*(n + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 - -4 - (-1 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -36, 3 in descending order.\nAnswer: 3, -1, -2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 200, 147, 30, -175, -492, -945?\nAnswer: -1558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6235, 12477, 18721, 24967, 31215?\n\"Answer: z**2 + 6239*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) 11150 (c) 27 (d) 2\/3 (e) 5 (f) -5 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -5*o - 0*o, 3*o - 16 = -5*h. Calculate the lowest common multiple of 314 and h.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eovv when four letters picked without replacement from {o: 2, e: 4, v: 10}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 335*m**2 + 158*m + 166025. What is g(-336)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3027866 to the power of 1\/4, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1803 (base 14) to base 13\nAnswer: -1c6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186389071?\nAnswer: 11, 17, 409, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/95)\/((-95)\/38)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 19. Let j be 4 - (-3 - (q + 3)). Solve 4*z - j*z = -12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2. Let a(y) = -3*y. Let c(i) = -6*i. Let t(b) = 11*a(b) - 6*c(b). Calculate t(r(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 24*l**2 - 2*l - 1. Let k be j(-1). Suppose x + k = 6*x. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.65 + 544.65. Let m = -793 + r. Let w = -255.107 - m. Round w to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3565201034 - -4?\nAnswer: 3565201041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1902 = 31*u + 2212 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/(4\/5704). Suppose 0 = 6*w - s + 143. List the prime factors of w.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/4)\/c)*c)\/c)**(6\/13)*(c**0)**(-1) assuming c is positive.\nAnswer: c**(27\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10536 + -10537.085. What is x rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 201. Suppose 0 = 5*z + 17 - n. Calculate the greatest common factor of z and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 8 = -2. Let q be h\/(-4)*6 - 12. Let c be (1\/(-4))\/(q\/36). Solve x + 3 + c = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 147, 145, 137, 123?\n\"Answer: -3*r**2 + 7*r + 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 709855 and 7?\nAnswer: 4968985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 5*b + 3. Suppose 5*p - 24 = -4*f + 2, 4*p = 8. What is the units digit of v(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9346 - -17476. What are the prime factors of b?\nAnswer: 2, 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/261 + 1807\/2610. Let x be (2 + -12)\/((-64)\/2528). Let s be -1*x\/35 - -11. Is s at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -3*i**5\/20 + 2*i**3\/3 - 2*i + 5. Let o(t) be the first derivative of z(t). What is the second derivative of o(f) wrt f?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -9*h**2 - 6*h - 20. Let y(s) be the first derivative of -26*s**3\/3 - 17*s**2\/2 - 60*s + 4578. What is -17*f(g) + 6*y(g)?\nAnswer: -3*g**2 - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2580*w - 341. What is the ten thousands digit of h(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49501622.\nAnswer: 2, 47, 61, 89, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 2\/3 (b) -16859154 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**2 - 463*l**4 + 467*l**4 - 7*l**2 - l**3 + 6*l - l**2 - 1 in the form r*l**4 + t*l**3 + u + y*l + n*l**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 20. Let g(r) = 5*r + 4. Let z be g(-2). Let t(l) = l - 7. Determine z*d(s) + 17*t(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -65198.3842 rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**4 - 2*a + 2*a + (3*a**2 - 2*a**2 - 3*a**2)*(147*a**2 - 41*a**2 - 28*a**2) + (-2*a**3 - a + a)*(3*a + 2*a - 4*a).\nAnswer: -156*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2901\/10, 4, -1\/5, 1, 38?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 - -159.00000165. Round m to seven decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rggggrgrrg. What is prob of picking 2 r?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**2 + 12*t. What is i(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)*v*v**11*v*v)**(-1\/20) assuming v is positive.\nAnswer: v**(-38\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -626 = -0*h + 35*h + 788 + 1281 for h.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*c + c = 0, -3*s - 2*c = 0. Let g = -1.2 + 6.2. Let x = g + 0. What is the biggest value in s, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9607 + -1551. What are the prime factors of p?\nAnswer: 2, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69 - 35. Let c = -1.65 - 30.35. Let s = i + c. Put s, -0.4, -1\/8 in ascending order.\nAnswer: -0.4, -1\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4238744 to 2 dps.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-1))\/(18\/(-126)). Let l(v) = -v**2 - 9*v + 12. Let p be l(m). Solve p*w + 2 = 27*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*p + 3*l + 146, 31*p + 32*p - 95*p + 31*p = -5*l - 6 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6741942 divided by 50313\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 - 0.2. Let i = -41.9 - -42.3. Let w = 265\/28 - 39\/4. Put 0.1, v, w, i in ascending order.\nAnswer: w, 0.1, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 4*z + 26 = 4*x, -z = x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d, 7 = -t - 4*d + 6. Suppose 4*v - 22 = -3*p, 2*p - 16 = v - 4*v. Let n(w) = 3*w**3 + 3*w**2 - w**3 + 3*w**3 - 2*w**p. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2950783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08614675 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 282 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 40*k - 82. Let j be y(2). Suppose -3*m - m = 0. Sort j, 2, -3, m in ascending order.\nAnswer: -3, j, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by (-1 - 0 - -68) + (-16 - (11 - 26))?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1980359872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 1516 divide 2013949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/12 - 17*k**3\/3 - 9*k + 7. Let p(q) be the first derivative of z(q). Let i(d) = 2*d**2. Give p(i(w)).\nAnswer: -4*w**4 - 68*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3173820 by 4695.\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (44 - 38) + 84 - (1 + 13)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130298 is divided by 257.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 361153 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*c + 4 = 6*c, -2*h + 3*c + 20 = 0. Suppose -h*t + 16 = -28. Let u = 205 - 106. Calculate the highest common factor of t and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*q**3 + 131*q**3 - 75*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 + 389. Is 45 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0*3\/(-9))\/1. Suppose d = 8*o - 16 - 16. Solve 3*g - 26 = g + 4*j, o*g - 4 = -4*j for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29\/3, -0.1432, -89, 0.3, 5 in increasing order.\nAnswer: -89, -0.1432, 0.3, 5, 29\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/40*(-40)\/6. Let o(j) be the second derivative of -j**4\/12 - 7*j**3\/6 + j**2\/2 - 3*j. Determine o(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121466, -119012, -116558?\nAnswer: -114104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -o + 24 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3604*n*p**2*q*v - 8*n*p**2 + 1242*n*q**2*v + 2*n*q**2 - 3*n*q + 3*n - 17 wrt v?\nAnswer: -3604*n*p**2*q + 1242*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -7*q - 2. Let m be u(-1). Suppose -5*d + 5 = -5. Suppose -3*g - d*g - 46 = -r, g - 37 = -2*r. Solve 24 = -m*w + 8*y - 4*y, -4*w + 5*y = r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4580 is divided by 198.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**3 + 3*r**2 + r + 1. Suppose 2*x - 3 = -x. Let q(w) = 10*w**3 + 18*w**2 - 141*w**2 - 11*w**3 + 1 + 124*w**2. Give x*o(k) - 3*q(k).\nAnswer: k**3 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a year?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*l - l - 2, 4*l - 5*b = -9. Let o be l\/(1 - (-6)\/(-4)). Suppose 12*u - 16 = 16*u. Sort o, u, 5 in decreasing order.\nAnswer: 5, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1887.\nAnswer: -5\/1887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -2\/9 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11094*t + 970783 + 116429 for t.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3150 and 231.\nAnswer: 34650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 234463 (base 7) to base 5.\nAnswer: 2324210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of -r**7\/14 + 7*r**6\/10 + 33*r**5\/20 - 23*r**4\/4 - 5*r**3 + 24*r**2 + 1864*r. Find c such that z(c) = 0.\nAnswer: -2, -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*w + 12 = 0, -2*p = -5*p - 5*w - 26. Let v = p + 9. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 11\/20*f**5 + 1\/6*f**3 - 1\/8*f**4 + 14*f**2 + 0*f + 0. What are the prime factors of a(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 286*j**3 + 5 - 185*j**3.\nAnswer: 101*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -25*b**3 + 20*b**2 - 600*b + 34. Let y(s) = -9*s**3 + 7*s**2 - 198*s + 12. Give -6*g(x) + 17*y(x).\nAnswer: -3*x**3 - x**2 + 234*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uucuugcgucugug. Give prob of picking 2 c.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5504308, -5504309, -5504310?\n\"Answer: -q - 5504307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 20, -26, 7, -2, 4, -3 in increasing order.\nAnswer: -26, -19, -3, -2, 4, 7, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 107989*s - 60661*s - 64075*s to x*s + j and give x.\nAnswer: -16747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -119 divided by 44\nAnswer: -119\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -31 and 0.055733.\nAnswer: -1.727723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 552*f**2*k**3*x**2 - 609*f**2*x**2 + 25*f*k**3*x**2 + f*k**3 + 10*f*k**2*x**2 + 16*f*x**2 + 6*x**2 wrt f?\nAnswer: 1104*k**3*x**2 - 1218*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2 + 15*a + 124. What is f(-7)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -28. Let c = o - -81. Let b = c - 48. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2311011112 + 123?\nAnswer: -2311010323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1540 and 160874945.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5139 + -53. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14368179.41 to the nearest 1000.\nAnswer: -14368000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 s, and 1 m when four letters picked without replacement from {i: 1, m: 4, x: 2, y: 1, s: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**4\/24 + d**3\/6 + 3*d**2\/2 + 3. Let j(g) be the second derivative of y(g). Let u be j(3). Solve u*p = -5 - 3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 40\/105 + (26\/(-7) - -4). Let m = -263\/6 - -44. Let y = m - a. Sort 2, -5, y in increasing order.\nAnswer: -5, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240970 divided by -48194.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4156429 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -163, -251?\nAnswer: -339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31, 18, 5, -2, 3, 26, 73?\n\"Answer: a**3 - 6*a**2 - 2*a + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (2 - 3) - (8 - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4516144.\nAnswer: 2, 239, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 bigger than 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(sqrt(5) - (1 + sqrt(5)) - sqrt(5)) + sqrt(5))*4 - (sqrt(180)*-1*4 + 1).\nAnswer: 4 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1 (c) 2 (d) 38 (e) -2\/167\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 12*t = -8*t + 1902, 4*z = t + 2523. What is the greatest common divisor of z and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -155*y + 676. Let c be j(4). What is the greatest common divisor of c and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 2*q - 5. Let d be n(3). Let g be -8 + (2 - d) - 7. Let l(h) = -2*h - 25. Let u be l(g). Let v(o) = o. Determine v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -1, -1\/3, -0.4, -48 in decreasing order.\nAnswer: 35, -1\/3, -0.4, -1, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -4*m + 28, -3*m + 19 = q - 8*m. Suppose 26 = -q*b + 71. What is the least common multiple of b and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 4*f. Let m be k(1). Suppose 17*p - 20*p - 4*j + 74 = 0, -m*p = 3*j - 69. Does 26 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -33818055321\nAnswer: -33818055320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 2*s**2 - 3*s - 4. Let b be k(-2). Let d be (4 + 1 + b)\/((-6)\/(-90)). Let z = d + -42. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.612003495 + 1.612. What is b rounded to seven decimal places?\nAnswer: -0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/130 and -9\/80.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 5. Let o(j) = -2*j + 11. Suppose 31 = -r + 3*r - 3*g, -g = 4*r - 69. Let h = r - 24. What is h*q(a) + 3*o(a)?\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/(-11 - -8)*(-25)\/(-15). Let n(k) = -k**3 - 14*k**2 + 17*k + 21. Determine n(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9638 or -9668?\nAnswer: -9638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 3*m + 2*m)*(2*m**2 + m**2 + 0*m**2)*(0*m**2 + 7*m**2 + 5*m**2).\nAnswer: 72*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Suppose -2*c + 35 = f*c. Solve -3*r = 5*m - c, 3*m + r + 2*r = 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 352795 - 717205. Round d to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 12*p**3 + 7*p**2 + 22*p + 2. Calculate y(-4).\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/50 + 5\/(25\/141). Sort 5, 3, b in descending order.\nAnswer: b, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2)\/k**(-3\/2))**(25\/2) assuming k is positive.\nAnswer: k**(-25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -3*m**3 + 1\/4*m**4 - 88 - 1\/2*m**2 + 4*m. Determine f(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**(-5\/17)\/(b**(-2\/5))**19 assuming b is positive.\nAnswer: b**(621\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sluhl. What is prob of picking 1 l and 1 h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -7*f**3 + 3*f**2 - 11*f + 2. Let a(h) = -4*h**3 + 2*h**2 - 6*h + 1. Give 11*a(s) - 6*u(s).\nAnswer: -2*s**3 + 4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/20 - 139*y**4\/6 - 1895*y**3\/6 - 552*y**2. What is the derivative of a(d) wrt d?\nAnswer: 6*d - 556","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -54, 172, 856, 2202, 4414, 7696, 12252?\n\"Answer: 34*i**3 + 25*i**2 - 87*i - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20788.\nAnswer: 2, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -283415*t**4 + 3*t**3 + 29490856*t wrt t.\nAnswer: -3400980*t**2 + 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -728 + 738. Solve 6*z - s = 11*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20018921 and 1.4.\nAnswer: 20018922.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i - 10. Give c(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from akksksaskksa?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 122, 283, 508?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/9 (b) -9 (c) -0.4 (d) 0 (e) -103 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 570 + -918. What is t rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192958 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/((x*x**(-4))\/x)*x*(x**5*x)\/x*(x**(-2\/3)\/x)**40)\/(x**(-1\/6)\/(x*x*x\/x**(-3\/2)*x)*x*x**(-2\/11)*x**(4\/11)) assuming x is positive.\nAnswer: x**(-541\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 38391370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -17. Let w be ((-4)\/(-3))\/(4\/c). Suppose 751 = 2*s + w*s - d, 175 = s + 4*d. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 410976103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/2 (b) -3 (c) 63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/2)\/(15\/(-210)) + -188. Which is greater: q or -191?\nAnswer: -191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + -1)*(-4)\/8. What is the third biggest value in c, 1\/4, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-13 - -7) - -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m - 8. Solve 4*r = 2*i - 22, -2*i + m*r + 26 = -3*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 k when four letters picked without replacement from nkqqgbnsgkgnkkn.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -557858 < 2.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6691725 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 5:12 PM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -58673000 to the nearest one hundred thousand.\nAnswer: -58700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*x + 21370 = 0, 10180 = 3*v - 2*x - 11155. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b + 15. Let q = 15 - 22. What is s(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*-1*sqrt(13)*2 + sqrt(1872) + ((sqrt(1872) + 0)*-3 - sqrt(1872)))**2.\nAnswer: 176*sqrt(13) + 25172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2018 is divided by 1006?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - -0.2. Suppose 0 = -f - 26*o + 30*o - 42, -4*f - 3*o = -41. What is the closest to 20 in -1\/3, 5, l, f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l**4 - 2*l**3 - 2*l - 5. Let z(d) = -10*d**4 - 3*d**3 - 3*d - 5. Let y(s) = -3*q(s) + 2*z(s). What is the derivative of y(o) wrt o?\nAnswer: 28*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52 + 52 - 2*u)*(-3*u + 0 + 0) - 2*u**2 - u**2 + 5 + 2*u + u**2 to v + h*u + n*u**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 21*k**2. Let g(h) = -403228*h**2. What is f(g(m))?\nAnswer: 3414449219664*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -304 - -193. Let k = l + 168. Suppose -55*v + k*v = 2914. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3*t**2\/2 - 2*t - 3. Let d(i) = -4*i - 11. Let j be d(-3). Let a(v) = -v. Give j*g(s) + 2*a(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 6*v - 4*v)*(-4 - 3*v + 4) + 23*v**2 + 41 - 41 + 2 - 2 + 2*v**2 - 2*v**2 - 2*v**2 - 2*v**2 as w*v + c*v**2 + n and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2754*u + 8265. Let x be t(-3). Let g(l) = 2*l - 1. Let o be g(1). Put o, -5, x, -6 in descending order.\nAnswer: x, o, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-8)*90\/135 - 37\/(-26).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 - 2*b - 14022*b**4 + 14072*b**4 + b to r*b**4 + j + f*b + d*b**3 + u*b**2 and give r.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151 and 7808814?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 132.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -54353889.1 to the nearest ten thousand.\nAnswer: -54350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*m + m**2 - 2*m)*(-13 + 21 + 24)*(m - 9*m - 18*m) to the form t*m**3 + j*m + y + k*m**2 and give t.\nAnswer: -832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*a - 3*a**2 - 5*a + (-6*a + 6*a + 6*a**2)*(2 + 3 - 3) - 2*a**2 - 3 + 3 + (-4*a**2 + 3*a**2 + 3*a**2)*(-4 + 1 + 2) + 0*a + 0*a - 2*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979222177 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 15, b: 3}. Give prob of sequence bl.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1407203258.\nAnswer: 2, 823, 854923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q + 129. Suppose -10*x - 21 = -15 + 74. Let g(m) = -4*m + 43. What is x*g(a) + 3*t(a)?\nAnswer: -a + 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(77)*-5)\/sqrt(11) - (2 + (sqrt(336)\/sqrt(6))\/sqrt(8)).\nAnswer: -26*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1498*r + 10464. Give y(-7).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {y: 2, b: 3, f: 5}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 3*f + 79 = 33*o, 5*o - 10*f = 420. Calculate the remainder when 126 is divided by o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3115365 + 3?\nAnswer: 3115368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 818777546 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-3 + 1*sqrt(18))**2 - (0 + (-1*sqrt(98))**2)).\nAnswer: 36*sqrt(2) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + w - 7 = 2, -5*m + 2*w - 9 = 0. What is the third smallest value in 4, 6, m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2555 (base 7) to base 4.\nAnswer: 33023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -823 or -860?\nAnswer: -823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 768 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (11 - -5 - 38) + -9 + 8\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + sqrt(77)\/sqrt(11))**2.\nAnswer: 24*sqrt(7) + 69","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z**4 - 40*z**3 - 15*z**2 + 35*z - 10 = 0 for z.\nAnswer: -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*w - 19731134 + 19730396 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/21 - 286*n\/7 + 87316\/21.\nAnswer: 2*(n - 263)*(n - 166)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) - sqrt(120)*-2)\/(sqrt(80)\/sqrt(2)) + -3*(sqrt(21)\/sqrt(7) + -4) + -4)**2.\nAnswer: -8*sqrt(3) + 259\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -129077, -129848, -130617, -131384, -132149?\nAnswer: -132912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26701, 26698, 26799, 27052, 27505?\nAnswer: 28206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3932996*i + 5739402.\nAnswer: 3932996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(13) - sqrt(416)\/sqrt(2)) + (sqrt(1573) + 4 + sqrt(1573) + 2 + sqrt(1573))**2.\nAnswer: 384*sqrt(13) + 14193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**13*w*w*w**(-1\/11)*((w**4\/w)\/w*w)**(-7) assuming w is positive.\nAnswer: w**(-67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -5. Solve -y*u + z = -17, z = -u - z + 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.12 from -4.8265.\nAnswer: -4.7065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**2 + 98*z - 51. Let u be h(49). Solve u = -2*k + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b**2 - 757*b - 67. Let a(s) = -s. Give a(p(j)).\nAnswer: 5*j**2 + 757*j + 67","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 116 + -461\/4. Suppose 20 - 83 = -9*i. Suppose 68*d = 75*d - i. Which is the nearest to d? (a) 3 (b) 1\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**2. Let c(f) = 6*f**2. Give d(c(v)).\nAnswer: -216*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 8, 6, -6, -34, -84, -162?\n\"Answer: -t**3 + t**2 + 2*t + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -127, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4 + 4*q**3 - 6*q**2 - 8*q + 8.\nAnswer: 2*(q - 1)**2*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 11*d. Let j(h) = -14*h - 9. Let x(p) = 99*p + 66. Let w(l) = 22*j(l) + 3*x(l). Determine i(w(f)).\nAnswer: -121*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.6 - -5.6. Which is the closest to -1? (a) t (b) 2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 94*l**4 + 332*l**2*t**3 + l*t**2 + 2*l - 37*t**3 - 74*t**2 wrt l.\nAnswer: 1128*l**2 + 664*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -69029 - -8?\nAnswer: -69021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-48)\/10) - (-44)\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 44 - 19 = 0. Let k = g - 26. Is k*2*1788\/(-24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/9 and (-595)\/371 + (-2)\/(-1)?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 11*d**3 + 3*d**2 + 119*d - 1932. Is 11 a factor of l(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31161.4309 rounded to the nearest 10?\nAnswer: 31160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20 - 6 - 23 + 75 + 1 - 28*q to the form y*q + a and give a.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 0 - (133 + -122)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -13\/6, -0.11, -0.36, 1.1, -15\/14?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/(sqrt(35)\/sqrt(5)*-6)*-4 - (sqrt(252)\/sqrt(2))\/(-4*sqrt(2)*2).\nAnswer: 25*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**13)**(-34)\/(((d\/((d**(-12)\/d)\/d))\/d)\/d**(-4\/19)) assuming d is positive.\nAnswer: d**(-8668\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of y**5\/60 - y**4\/6 - 7*y**3\/6 + 6*y**2. Is a(-3) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17386 + 17389. Let n(w) = w**3 - 3*w**2 + 8*w - 15. Calculate n(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/318828 and -35\/9518874.\nAnswer: 3103152924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51017198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + l = 2*l + 2, 3*k - 5*l - 4 = 0. Suppose 4*i + 72 = -g + k*g, -5*g + 169 = i. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 1:03 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5267678 to the nearest integer?\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 152 + -156. Calculate the least common multiple of 15 and -2 - (-29 - -26)*f\/(-3).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 23027, 45924, 68821, 91718, 114615, 137512?\n\"Answer: 22897*v + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 6*m - 11*m - 12*m)*(10776 - 394*m**3 - 10776 + (-3 - m + 3)*(m**2 - 2*m**2 + 2*m**2)).\nAnswer: 7900*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3450656.069 - 3450814.0690081. Let l = s + 158. What is l rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(10 + (-25)\/5)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50357 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 232863 times -5?\nAnswer: -1164315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 210 = 7*t. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126929 = 1548*m + 55735 for m.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/10 - 0)*5. Let l be (1\/(-1))\/((-101)\/j). Suppose 0 = -5*q + 4*m + 24, 2*q + 63*m = 68*m + 30. Is l at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-5))\/((-210)\/525).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 4. Let g be p(-6). Let j(n) = n**3 - g*n + n**2 + 2 + 3*n**2 + 5*n. Let v be j(-2). Solve 5*d = m - 13, -v*m + 9*d + 22 = 4*d for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -108, 2, -2.\nAnswer: -108, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -166, -157, -148, -139?\n\"Answer: 9*m - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 (base 8) in base 14?\nAnswer: 8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hm when two letters picked without replacement from {m: 4, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880) + -4*sqrt(880)*1 + -2*sqrt(880)*-2)\/((sqrt(1440)*2 - sqrt(40))\/(sqrt(72)\/sqrt(144) - sqrt(8))).\nAnswer: -3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6775524005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**4 + 2*k**3 - 4*k**2 + 77*k + 4230. Let s(b) = -b**3 + b**2 + 3*b + 2. Let h(t) = o(t) + 4*s(t). Differentiate h(z) wrt z.\nAnswer: -12*z**3 - 6*z**2 + 89","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 482460 and 289476.\nAnswer: 1447380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40223*a + 3*g + 19 = 40225*a, 0 = a + 2*g - 27 for a.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(1\/10))*x)\/(x*x*x*x*x*x\/(x\/(x*x**(-1)))))\/(x**(-1)\/x**(2\/51)))**(-39) assuming x is positive.\nAnswer: x**(18967\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**6 - 2*p**5 - 412*p**4 - 1011*p**2 + p - 6 wrt p.\nAnswer: -240*p**3 - 120*p**2 - 9888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - z**2 - 2 + (-2*z - 3*z + 3*z)*(z + 4 - 4) + (2*z + z - z)*(-z + 2*z + 0*z).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 25 - 18. Find the second derivative of -u*b + 0*b + 3*b**2 + 3*b wrt b.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-130)*4)\/((-4)\/(-20)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 286\/(-11) + (0 - 1). Let m = 43 - 46. Let o = m - s. What is the greatest common divisor of o and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(20\/(-12) + 1). What is the greatest common divisor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89 or -77?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/8*-6 + 2. Suppose -5*p - 2*z - 5 = -3*z, x*p + 20 = 4*z. Suppose p*o + 100 = 5*g - 5*o, -o + 28 = 2*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (0 - (7 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -25*v - 10. Is x(-17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 4*t - 5. Give y(6).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Let a(m) = m**2 - 3*m - 15. Let u be a(-2). What are the prime factors of (-3)\/(-2) - u\/y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 4683 = 3939. Calculate the smallest common multiple of o and 96.\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 1. Let v(b) = -b**3 - b**2 + 3*b + 3. Let m(n) = -3*k(n) - v(n). Find c, given that m(c) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/35 and -40\/3.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4900 and 200?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 11309+-30276264\nAnswer: -30264955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87009, -174022, -261035, -348048, -435061?\nAnswer: -522074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 2. Let j be b(-6). Suppose 0 = -4*m + 3*s - j*s + 232, m - 5*s = 33. Let d = m + -30. Calculate the remainder when 43 is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 4140422300?\nAnswer: 4140422303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6925753, -13851499, -20777243, -27702985?\n\"Answer: v**2 - 6925749*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22866 and 60717.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 0 = -4*z. Let j be 2\/z + (-340)\/(-35). Solve 3 = -v - 3*h + 4*h, 3*h = 4*v + j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8118 (base 11) to base 6\nAnswer: 121540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.398 - 4.178. Let p = 5.79 + q. Is -1 greater than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -1. Suppose -4*q = -2*q - 2. Suppose p = 3*y - q. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-6))\/((-1)\/(-3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f = -3*a + 11, 17*f + 345 = -3*a + 337 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48344404981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g + 10*g - 68 + 8*g + 0*g - 23*g.\nAnswer: -2*g - 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*1*14\/609. Let q = 0.5 + 0.5. Sort -1\/4, q, i in descending order.\nAnswer: q, i, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + -36a337?\nAnswer: -36a321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(27\/((-297)\/(-22)))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63124549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/180 - c**3\/2 + 4*c**2. Let s(y) be the first derivative of x(y). Let f(p) = -p**2. Calculate f(s(j)).\nAnswer: -4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 46980\nAnswer: -1\/15660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/5 of a meter?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**4 + 6156052*x**3 - 15211*x**2 + 2098*x wrt x?\nAnswer: -24*x + 36936312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35693 - 24894. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5973786 divided by 1042.\nAnswer: -5733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19423 is divided by 605.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(44)\/sqrt(4)*-3 + sqrt(704) + -3*2*sqrt(11).\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4186, 16742, 37668, 66964?\nAnswer: 104630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 126204839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 563 (base 13) in base 2?\nAnswer: 1110011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286197450 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 8:36 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1\/6, -3, -2\/11, -1\/3, 2\/29?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 364270*p**3 + 6*p**2 + 8546788 wrt p?\nAnswer: 1092810*p**2 + 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 times 146930.97\nAnswer: 2497826.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5501106 + -14?\nAnswer: -5501122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1359 + 998. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-10)\/(-12))\/((-632)\/72 - -9) and -25\/186?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54730242 divided by -18243414.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 218923\/83324570 + -2\/72205. Let t = i + -10682\/2885. Let v = -1\/10 - -203\/30. What is the common denominator of v and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**4\/8 + 10*m**3\/3 - 6*m**2. Let j be z(7). Let k be (-1)\/(2\/(4\/(-1))). Sort k, -4, j.\nAnswer: -4, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 131444403404?\nAnswer: -131444403404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 154163 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84493 + 118759. List the prime factors of p.\nAnswer: 2, 3, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**3 - 130*i**3 + 40*i**3 + 16*i**3.\nAnswer: -45*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of 1\/2*p + 1\/3*p**3 + 5\/8*p**2 - 2 + 1\/16*p**4. Factor g(m).\nAnswer: (m + 1)**2*(m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -992, -2004, -3016, -4028, -5040?\n\"Answer: -1012*g + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 5*q - 10. Determine t(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 414148 is divided by 34512.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from iizixdiixczi?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14229477 is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 10:10 PM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -10*p + 88. Calculate the remainder when p is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iciuuuicuuycicuccu. What is prob of picking 1 y and 3 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.3 - 6.3. Let f = -3 - l. Let u = -1.869 + 4.869. Which is the closest to -2\/7? (a) u (b) f (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 5*o. Let c(d) be the first derivative of -108 + 5*d**2 + 191 - 123 + 13*d**2. What is c(u(g))?\nAnswer: 180*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/x**0)\/(x*x**0*x)**21 assuming x is positive.\nAnswer: x**(-83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 2*a + 2*a)*(0*a**2 + 3*a**2 - 6*a**2) - a**3 - a**3 - a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*((-36)\/(-4))\/90)\/((42\/936)\/(-7)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 4:21 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 9:46 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - (-5 + -4 - -20) - 27.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w. Suppose 9 = -5*g + 8*g. Suppose -c + 8 = g*c. Let o(u) = -4*u**2 - 2*u**2 + 3*u**2 + 2*u**c. Give s(o(f)).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(65\/(-25) + 2). Let p be t\/((-75)\/(-5560))*(-3)\/(-2). Round p to the nearest ten.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8082521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 21912 + -1049?\nAnswer: 20896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c = 10*c + 144. Let j be (14\/8)\/(-1 - (-45)\/c). Solve 5*p = j*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2. Let u(a) = -3*a + 4. Let g(m) = -2*s(m) + u(m). Let w(f) = 42*f - 16 + 16. What is g(w(l))?\nAnswer: -126*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1, -31, 42 in ascending order.\nAnswer: -31, -5, -1, 1, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 + -55?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (502 + 3*d + 0*d**3 - d**3 - 500)*(0*d + 2*d**2 + 0*d).\nAnswer: -2*d**5 + 6*d**3 + 4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(((-11)\/(-33))\/(1\/(-6))). Let s be 2*r + -24 + 23. What is the closest to 2\/15 in -5, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + ((-9 - -12) + -22 + 1 - -57).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 36*q**2. Let s(i) = -i - 4. Give o(s(x)).\nAnswer: 36*x**2 + 288*x + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 9*x - 17376 = 0. What is the derivative of 12 + 2172*z + 36 - x*z - 128*z**4 wrt z?\nAnswer: -512*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 + 3*u**3 - u**3 - 2*u**4 + (5*u**2 + 0*u**2 - 2*u**2)*(-81*u**2 - 195 + 195) in the form r*u**3 + t*u**2 + k*u + s + b*u**4 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 34*s + 59 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24359.\nAnswer: 24359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u - 2*u + 2*u + 7*u**2 - 5*u**2 + 5*u - 23*u**3 - 2 as f*u**2 + r*u**3 + j*u + y and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 6:16 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 4*y**3 - 2*y**3 + 7*y**3.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -37 - -69205b?\nAnswer: 692024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -5*t**4\/3 - 3*t. Let u be 4\/(-5)*(-8)\/(16\/5). Let v(o) = 1358 + 2*o**u - 1358. Give v(l(k)).\nAnswer: 800*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*b**2 - 159*b\/2 - 90 = 0. Calculate b.\nAnswer: -12, -5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 + 328*p - 127. Let l be h(-66). Solve -l*n + 8 = -4*g, -4*n - 4*g - 12 + 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**10\/(p**(1\/9)\/p))**(-38))**(2\/49))**43 assuming p is positive.\nAnswer: p**(-6536\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -102.1. Let g = -8.2 - -0.2. Let f = g + u. Which is greater: f or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 79921520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -277 - 64?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255961075 to the power of 1\/2, to the nearest integer?\nAnswer: 15999","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213997 is divided by 100.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*d - 4. Let a be 8 + (3\/3 - d). Let f = -12 + a. Sort f, -3, 5 in decreasing order.\nAnswer: 5, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 320 + -323. Sort z, -96, -4 in ascending order.\nAnswer: -96, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -159d - 27?\nAnswer: -15c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14660 and 2.\nAnswer: 14662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -159691, -320023, -480995, -642601, -804835, -967691, -1131163, -1295245?\n\"Answer: p**3 - 326*p**2 - 159361*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(1 - 1 - 1)*(-80*a - 65*a + 101*a) + (-3*a + 4*a - 2*a)*(-5 + 3 + 0) + 3 - 3 - a.\nAnswer: -87*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -15*i - 384. Let f = -2948\/7 - -59597\/140. Calculate the common denominator of 1 - 159\/i - 0 and f.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 227 + 200 = 3*k, 3*l + 1 = 2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 705513240?\nAnswer: 2, 3, 5, 41, 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 135920 and 72.\nAnswer: 1223280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**4 + 90*o**3 - 444*o**2 - 3978*o + 4335.\nAnswer: -3*(o - 17)**2*(o - 1)*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -408958968*i**5 - 391384313*i.\nAnswer: -8179179360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -573 - -572.9711. Let a = 0.02890463 + f. What is a rounded to 7 decimal places?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**7\/1120 + a**6\/240 - a**5\/160 + a**3\/3 + a. Let b(z) be the second derivative of q(z). Factor b(r).\nAnswer: -3*r*(r - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(sqrt(245) - (((-3 + sqrt(245))**2 - sqrt(245)) + -1)).\nAnswer: -760 + 168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0339 - -0.0473. What is w rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -588.5 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -7. Let l(g) = 7*g**2 - 5*g + 15. Let y(p) = -4*p**2 + 3*p - 8. Let n(q) = -6*l(q) - 11*y(q). List the prime factors of n(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17670\/(-2964) + (-12)\/312\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*z - z - 26 = 0, v = 4*z. Let t = -13 - v. Let p(d) = -d**3 - 5*d**2 - d + 1. Is 6 a factor of p(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m**2 + 152*m + 3. Let b be s(-19). Solve -3*o + 4 = -w + 2*w, -b*w - 2*o = -12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10572*a**5*i - 690*a**5 + 28*a*i - 967*a wrt a.\nAnswer: -211440*a**3*i - 13800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-12 - (-4 + -13)) - (-19 + 0 - 4)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from cpp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527479607 is divided by 232.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Let g(v) = 138*v**2 + 18*v. Calculate g(x(t)).\nAnswer: 138*t**2 - 18*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from eeeeeeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 19. Suppose -3*g + k - 30 = 2*g, -2*k + 35 = -q*g. Let u(o) = -o**3 - 4*o**2 + 6*o + 1. Determine u(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 346704 and 3534?\nAnswer: 6587376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.3843 rounded to the nearest integer?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -78, -262, -572, -1008, -1570?\n\"Answer: -63*c**2 + 5*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 1. Let s be x(2). Suppose -s*l + 124 = 43. Suppose -l + 119 = 4*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - 2*m)*(-7 + 7 - 8*m) + (5*m - 5*m + 2*m)*(-2*m - 3 + 3) + 0*m - 2*m**2 + 0*m - 29*m + 50*m - 23*m + m**2.\nAnswer: 11*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 309392455 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(475))**2 + -3 + (-2 + sqrt(19) + 1)*-3.\nAnswer: -3*sqrt(19) + 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/10 (b) 2 (c) -173\/26762\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 72 and 896?\nAnswer: 8064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469*i**2 + 2*i - 11*i + 9*i - 2.\nAnswer: 469*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -2*s - 29, -2*v + 57 - 6 = -3*s. Let l = 58\/3 + s. Let x = 2 - 4. Which is the smallest value? (a) l (b) 0 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444 is divided by 61?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5. Suppose 0 = -0*b + 3*b. Let d be u(b). Suppose -3*v + 3*h + 135 = 0, 207 = d*v + 2*h - h. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173981099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-6*(-2)\/60)\/((-1)\/(-2))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 3*s**2 - 3*s - 2. Let q(u) = 18*u**3 - 2*u**2 + 40*u. Give d(p) - q(p).\nAnswer: -19*p**3 - p**2 - 43*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**3\/3 + 5*a**2\/2 - 8*a + 3. Calculate the remainder when 46 is divided by v(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000786401497 to 7 dps.\nAnswer: -0.0000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*v - 3574432 = -65*v - 489216. What is the ten thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 m when three letters picked without replacement from mmyhhy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -1 - -1) + -20 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1182 + -623. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*h + 5*h + 8*h + 8671 + 1509.\nAnswer: -5*h + 10180","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of -6*j**2 + 189. Let p(w) = 165*w. What is p(h(m))?\nAnswer: -1980*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 15) to base 8\nAnswer: -462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1574648723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107313 is divided by 1083.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14525772 less than 14574100?\nAnswer: 14574100.14525772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-2\/3))\/z**(1\/9) assuming z is positive.\nAnswer: z**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z - 349. Let h(p) = -5*p - 327. What is -2*h(w) + 3*t(w)?\nAnswer: -8*w - 393","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 1. Let d be r(1). Suppose d*h = -3*h + 110. Let n = h + -11. Calculate the remainder when 18 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -97*g - 141. Let t(b) = -2*b - 1. Let f(u) = -i(u) - 5*t(u). Differentiate f(w) with respect to w.\nAnswer: 107","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 121011690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 7630 = 5*m, 0 = -2*l - m + 1837 + 1221. Which is bigger: 1530 or l?\nAnswer: 1530","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.18 + -41.41. Which is the fourth biggest value? (a) -3 (b) h (c) -26 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7374*0.5.\nAnswer: 3687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 622463 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.122 take away -159281?\nAnswer: 159281.122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1148431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 13201 (base 4) to base 16\nAnswer: 1e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 16 + 6*r - r - r as c + t*r and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -266*d**3 - 81848*d**2 + 2*d - 88051133 with respect to d.\nAnswer: -798*d**2 - 163696*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489395 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 3 g when four letters picked without replacement from gwggwwg?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.02 and -755?\nAnswer: 15.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 2*c**3 - 10*c**2 + 15*c. Calculate i(6).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (13 - (1 - -5)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 72 = 272. Suppose 0 = -5*d + 4*d + 8. What is the tens digit of w\/(-3)*(-36)\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 659134159 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b - 19*b - 20*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.3912461 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 1 d when three letters picked without replacement from {t: 8, r: 4, d: 2}.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 433 + -425. What is the remainder when 54 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Suppose 3*t + 4*j - 220 = 0, 0*j - p = -5*j. Let q be (-2 - 0)*(-22 - 2). What is the greatest common divisor of t and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dffkqqqq. Give prob of picking 1 d, 1 f, and 1 k.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**3 - 9*h**2 - 5*h - 16. Let n(t) = t**3 - 2*t**2 - t - 4. Determine -9*n(m) + 2*x(m).\nAnswer: -3*m**3 - m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, t: 3}. What is prob of sequence tt?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*d + 343*d - 341 = 0. Suppose 5*f = -2 + 37. Solve -f*j + 8 = -d*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of -1\/6*i**4 + 0 - 4*i**2 + 0*i + i**3 - 1\/60*i**5. Calculate p(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2))**(3\/29))**(1\/9) assuming k is positive.\nAnswer: k**(-2\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 11, w: 4, b: 2, o: 2}. Give prob of sequence bbow.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 38 + -27. Let b = z + -9. Solve 0*h + 1\/3*h**4 + 1\/3*h**5 - 1\/3*h**b - 1\/3*h**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + r - 228 + 216, -4*t + 5*r + 36 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u**3 - 71*u**2 - 59*u - 238. Give v(-21).\nAnswer: -2527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (936\/(-130))\/((-16)\/20)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*p + 92 - 56 - 62)*(4 - 4 - 5*p).\nAnswer: -40*p**2 + 130*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ypo when three letters picked without replacement from {y: 1, p: 3, o: 1, v: 5}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8\/3 (b) 1 (c) 0 (d) -1 (e) 0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -134, -135, -136?\n\"Answer: -d - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -5*w + 12. Let y be k(4). Let p be y\/(-12) - 4\/6. Suppose -6\/7*x**3 + p*x + 2\/7*x**4 + 0 + 4\/7*x**2 = 0. Calculate x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7713 - -2173. What are the prime factors of n?\nAnswer: 2, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*m - 27996 = 305*m + 381*m + 3044 for m.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (5\/15)\/(3\/(-45))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9553*n**4 + 3388*n**2 wrt n?\nAnswer: 229272*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 4:02 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 64.69. Sort 0.2, -0.3, v in increasing order.\nAnswer: -0.3, 0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*i - 2*f + 25, i = 2*f + 10 - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263a (base 14) to base 5.\nAnswer: 203331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s + 9 = 0. Let a be (-4)\/(5\/(-17 + s)). Solve 17*v = 13*v - a for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -6, -0.3, -1\/41, 0, -4\/11, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3502077?\nAnswer: 3, 1167359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12945419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(243) - (sqrt(243) + 3)*6) + sqrt(243))*-2.\nAnswer: 34 + 72*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111010111001010001 (base 2) to base 11.\nAnswer: -2072699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 - 196*g**2 + 2652*g - 6300.\nAnswer: 4*(g - 25)*(g - 21)*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41007 divided by 1.\nAnswer: 41007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**5 + 9*q**4 + 6*q**3 - q**2 - 3*q. Suppose -9 + 13 = 2*z. Let h(j) = -4*j**5 - 8*j**4 - 6*j**3 + 2*j. Let v(x) = z*t(x) + 3*h(x). Factor v(g).\nAnswer: -2*g**2*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + 0.0437.\nAnswer: -0.1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1388 + -654. Suppose -k + 2 = 0, 0*k + k = -4*f + u. What is the common denominator of -3 and (3 - f\/12)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 0.5 (c) 2\/5 (d) -3\/16 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 37 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6)*48110\/(-140). Let o = -229 + u. Which is the third biggest value? (a) o (b) -4\/3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3523*r + 6423*r + 4098*r - 4791*r as s + f*r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -701*a + 723*a = 3316590 + 6783368. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -1\/307, 5\/4, -1, 2\/7, -2\/7 in ascending order.\nAnswer: -1, -2\/7, -1\/307, 2\/7, 5\/4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -2*p**3\/3 - 33. Let j = 6 + -4. Let c(w) = w**j + 2*w**2 - w**2. What is c(v(h))?\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*t + 39*t + 66 = -5*h + 3*t, -5*h - 2*t - 1 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 13*z**2 + 0*z**2.\nAnswer: -19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2160 and 440.\nAnswer: 23760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 3*x + 282, -374 = -b + 5*x - 84. Let i = b - 123. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5 + 16 = -4*i, -3*z + 19 = -i. Suppose -h = -5*k - 1 + 3, 5*h = -z*k + 20. Suppose 10*s = h*s + 980. List the prime factors of s.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 99 + -81. What is the lowest common multiple of j and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4980 - -5175. Calculate the least common multiple of 520 and k.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.036864948 rounded to 5 decimal places?\nAnswer: 0.03686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 10*h - 8. Let q(i) = -i - 1. Let x(b) = -5*q(b) + y(b). Give x(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-53*m + 53*m + 5*m**2)*(-m**3 - 4*m**3 + 4*m**3 + (m**2 + 0*m**2 - 2*m**2)*(-m - m + 3*m)).\nAnswer: -10*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + w + 8, 2*b + 3*w + 118 - 95 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + o = -88, -o = o - 2. Suppose 94*v = r*v + 945. Suppose -724 = -5*d - v. What is the remainder when d is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 11*y - 11*y - 8*y.\nAnswer: y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 1083*c - 1088*c + 3*m, 0 = 5*m - 5 for c.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zxxxxxxxxzxx. Give prob of picking 2 z.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 - 5*l - 3. Let z(g) be the first derivative of -g**3\/3 - g**2\/2 + g + 3. Let k(c) = -j(c) + 2*z(c). Is k(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42365.46 * 0.1\nAnswer: -4236.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7a + e4?\nAnswer: 16e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from htattehtthae. What is prob of sequence at?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*g + 11. Suppose -4*x = -c + g, -12*c + 1 = -15*c - x. Solve 0 = -c*a + 3*a + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -23*v + 4. Let b(a) = 11*a - 2. Calculate 7*b(o) + 3*u(o).\nAnswer: 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3592 + -161. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*n + r - 0*r, 5*n = 4*r + 11. Solve n*c + 4*f = -8 + 24, -4*c + 2*f = -14 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -2*(1 - 0). Factor -47*m - 20 - 4*m**b - 19*m - 48 - 6*m.\nAnswer: -4*(m + 1)*(m + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 5:07 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 21845\nAnswer: -1\/21845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237884670 to the nearest integer?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.2. Let i be ((-3)\/(-6))\/((-1)\/2). Let w be -4*3\/(-102)*i. What is the nearest to -0.1 in 1\/10, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -480 + -5 + 10 + 4. Let j = 883 + r. Is 36 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 78*s - 757. Give w(-50).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/6 + 4)*9\/14. Put -1\/7, 4, 42, p in descending order.\nAnswer: 42, 4, p, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/9 - (-6)\/27. Let m = -170935694\/585 - -292198. Let l = 2\/195 - m. Which is the second smallest value? (a) g (b) -1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 t, and 1 j when four letters picked without replacement from {v: 1, t: 1, e: 3, a: 5, j: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 4 = -3*j, 897369*j + x - 24 = 897374*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 120596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**7*a)\/a)\/a*a**(1\/3)*a*a**(-1\/4)*a**3)**(11\/8))**24 assuming a is positive.\nAnswer: a**(1331\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -48*w**2 + 45*w\/4 = 0?\nAnswer: 0, 15\/64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43 - 30*b + 43 to q*b + x and give q.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 7*s**2 + 5*s + 3. Let r be j(-4). Let y = r + -28. Suppose y*n + 92 = 5*n. Is 12 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(((-4)\/6)\/(-2)). Suppose b*p - 108 = -p. Suppose 5*c + 3*g + 24 = -11, -3*g = 3*c + p. Sort c, 0, -1 in increasing order.\nAnswer: c, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3400, -6812, -10224, -13636?\nAnswer: -17048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 58\/7, -2, 0.3, 2 in descending order.\nAnswer: 58\/7, 2, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.38432637 rounded to two dps?\nAnswer: 3.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 210*l**2 - 15*l + 13. Determine i(1).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 3*v**2 - 4*v. Let j be (-7)\/(14\/8)*1. Let l be i(j). Suppose -f + 11 = -l. Solve -2*t - 6*z = -2*z + 28, -z = -4*t - f for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 + 2*w + 7. Let q(o) = o**2 + 14*o + 10. Let b be q(-13). Is 14 a factor of v(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**2 - 41515*x + 207700 = 0 for x.\nAnswer: -8308, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22321 + 1102002121?\nAnswer: 1101313200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -119, -54, 35, 160, 333, 566, 871, 1260?\n\"Answer: 2*c**3 + 51*c - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 754 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 37?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2534686144.43 and 17.\nAnswer: -2534686127.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 93, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 - 41. Let c = -94 + t. Find the common denominator of 10\/c - 2350\/540 and -61\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 8 = -0*d. Let w = -4013\/6 - -681. Find the common denominator of 6\/d*54\/(-33) and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/4 + 16*m**3 - 93*m**2\/2 - m - 360. Factor v(s).\nAnswer: -3*(s - 31)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4477490.\nAnswer: 2, 5, 447749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21215515*r**2 - 410 + 410.\nAnswer: 21215515*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, x: 1, t: 4, r: 1, n: 1, q: 1}. Give prob of picking 2 t, 1 n, and 1 d.\nAnswer: 11\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-964)\/(-4 + 2) + -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-384*a + 391*a - 645*a)*(2*a - 3*a + 0*a) to s + c*a + k*a**2 and give k.\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of -x**2\/2 + 1. Let z be 155\/15*(3 + 0\/3). Let q(t) = z + 34 - 65 + 16*t. Determine q(g(i)).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -131 + 446. Let w be (2 - 102)\/(c\/1855). What is w rounded to the nearest 100?\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let r(b) = 4*b**2 + 7*b + 5. Let x(k) = -r(k) + 3*u(k). Let h be 2 + -1*(1 - 0). Let z(l) = -l**2 - l - 1. Determine h*x(a) - 5*z(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/88 - 3\/22. Let r be (-4*(0 - 1))\/7. Put r, 3, v in increasing order.\nAnswer: v, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000884323 to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 6:59 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**4\/3 + 2648*v**3\/3 - 187756*v**2\/3 + 294504*v - 232800 = 0?\nAnswer: 1, 4, 75, 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*97.\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 3:14 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 56930 or 56955?\nAnswer: 56930","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/129, 3, -0.4, 1\/2, 1\/4, 4?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 597005836*m**2 + 446824610*m wrt m?\nAnswer: 1194011672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321069 divided by -7?\nAnswer: -45867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = 4*f - 1, -f = -z + 11. Suppose -k = -0 - z. Let v(d) = d**3 - d**2 + 2. What is the remainder when k is divided by v(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 24 = 5*w. Suppose -5*a - 40 = -10. Let c(i) = -i**2 - 5*i + 14. Let m be c(a). What is the greatest common factor of m and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(0 - (-2)\/4). Let v(y) = -7*y**2 + y - 2. Let p(o) = 22*o**2 - 4*o + 7. Let g be (27*(-20)\/(-3240))\/(1\/42). Determine g*v(q) + j*p(q).\nAnswer: -5*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 - -44. Let p(y) = -70*y - 11. Let n(i) = -14*i - 2. Give x*p(t) + 11*n(t).\nAnswer: -14*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 15) to base 12.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*26\/(-65)*(-735)\/84.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w. Let z(p) = 4*p**3 - 7*p. Give -14*t(f) + 2*z(f).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2793, 38, -7451, -22044, -46111?\n\"Answer: -395*o**3 + 3*o**2 + o + 3184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*v**5*z - 71*v**4*z**2 + 13*v**2 - 158*v*z**2 wrt v?\nAnswer: 300*v**2*z - 1704*v*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114422531 + -5?\nAnswer: -114422540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (178\/(-267))\/(0 - (-2)\/18). What is the remainder when 9 is divided by (4\/12 + y + 8)*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*l - 7, 2*l = -g + 6*g - 21. Suppose -23 = -g*h - 3. Suppose x - h*x + 408 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/755 and -25\/453.\nAnswer: 2265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9141, -37025, -64909, -92793, -120677?\n\"Answer: -27884*a + 18743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -1\/480*d**6 - 46*d**2 + 1\/16*d**4 + 0 + 7\/160*d**5 - 11\/48*d**3 + d. Factor n(x).\nAnswer: -(x - 11)*(x + 1)*(2*x - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(((-6)\/(-4))\/(2\/2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127 and 20821650.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3674 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8213520 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-3 - 0) + 2). Let g(r) = -3*r**2 + 4*r**2 + y*r**2. Let l(s) = 4*s. What is l(g(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/636 and -63\/16.\nAnswer: 2544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 4:44 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*o - 3*o - 40. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19079\/5 + -114611\/30. Calculate the common denominator of v and 2\/4*(-50)\/(-24).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 + 525*n + 1342*n.\nAnswer: 1867*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 + 10 + 22*b**2 - 12 - 3*b**2 as j + f*b + v*b**2 and give v.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**2. Let v(p) be the third derivative of 0*p**3 + 0 + 0*p**4 + 5*p**2 + 1\/15*p**5 + 0*p. Calculate v(j(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/9))**(-2\/15) assuming b is positive.\nAnswer: b**(8\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 115161 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**3 + 5979*j**2 - 17708 wrt j?\nAnswer: -6*j**2 + 11958*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 18*h + 73. Let p be l(11). Which is the nearest to -1? (a) -0.3 (b) -1\/6 (c) p (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 7*v + 15. Let x be (v - 4)*(4 + 15). Put -4, x, 5 in increasing order.\nAnswer: -4, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 1148.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7203, 7593, 7983, 8373, 8763, 9153?\nAnswer: 9543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4970, -39824, -134426, -318650, -622370, -1075460, -1707794, -2549246?\nAnswer: -3629690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 330590*u - 661188.\nAnswer: 2*(u - 2)*(u + 165297)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251138697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 833 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 191 divided by 888.\nAnswer: 191\/888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -12959 and 11977 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 10*y**2 + 4*y + 7. Let d be j(-2). List the prime factors of 9724\/d + (-4)\/(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k**2 - 2*k**4 - 17*k**2 + 5*k**2 - 2*k**3 to the form w*k + f*k**2 + v*k**3 + l*k**4 + a and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/20 and 41\/5130.\nAnswer: 10260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - (-11)\/3. Let x = 7 - m. Let k(h) = -h**2 + 1 - h**x + 6*h - 5*h - 2*h. What is k(1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42640 divided by 8528.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (-1 + -1)) + (723 - (-5 - 14)). Calculate the highest common divisor of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = 100826 - 32798. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a - 432?\nAnswer: -43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1077 + 358 - 2605*s**2 + 355 + 364.\nAnswer: -2605*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - (-58)\/140 - 6\/(-20). What is the third biggest value in -1, 1\/4, p, 2, -78?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -26*k + 11*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**2 - 9*b - 5. Let o be j(3). Solve -o*p = -p - 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 762.7 + -611.7. Which is the closest to 0? (a) r (b) 1\/8 (c) -4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/(58\/4). Let i = l - -61\/87. Let n = 9 + -6. Which is the third biggest value? (a) n (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(2\/35)\/((q**(-24)*q)\/q) assuming q is positive.\nAnswer: q**(842\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4*p - 1. Let r(q) = -3*q + 14. Let t be r(5). Let s(j) = j - 1. Calculate t*g(l) + s(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52014071 (base 8) to base 16.\nAnswer: a81839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2672 divided by -4.\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2615586 to 4 dps.\nAnswer: -0.2616","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**(-2))**43\/(a**(-5\/4))**(-6\/17))**(2\/79) assuming a is positive.\nAnswer: a**(4371\/1343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -170084633, -170084626, -170084615, -170084600, -170084581, -170084558?\nAnswer: -170084531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 281 - 279. Let z(f) be the second derivative of -6*f - 2\/3*f**3 + 0 + 0*f**j - 1\/3*f**4. Factor z(x).\nAnswer: -4*x*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/6*(-15)\/((-255)\/(-17))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3361 (base 10) in base 4?\nAnswer: -310201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 14290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -696.\nAnswer: -1\/174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.3 - -13. Let c = -69 + 141\/2. Let g be (-2)\/(-4)*4 + (-44)\/20. What is the nearest to g in 4\/5, h, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3222 - -3219.8. Let l be (2 + 4 + -4)*(-1)\/(-11). What is the smallest value in f, -0.1, l, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from iiiiiiyiiiiyiyiyyii?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1730 divided by -173.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a day?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - a + a - a + a + 7*a + 2 - 2*a - 2 + (-a + 2*a + a)*(1 - 2 + 0).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2266, -9409, -21442, -38365, -60178, -86881, -118474?\nAnswer: -154957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1352031 (base 7) to base 3.\nAnswer: 100011222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose 5*q + 6 = -2*t + x, 9 = -2*t - 3*q. Let a(m) = -3*m - 11. What is the least common multiple of a(t) and 2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 556385702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 31*f**3 + f**2 + 2*f + 2. Determine x(-1).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -193 or 75\/2?\nAnswer: 75\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from irii?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1338143759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 11:56 AM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1539) - 4*(sqrt(1539) + 0 - sqrt(1539) - sqrt(1539)))**2*6*-6.\nAnswer: -1385100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n**2. Let f(g) = 2 + 112*g - 231*g + 117*g. Give k(f(a)).\nAnswer: -16*a**2 + 32*a - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 801 divided by -6.\nAnswer: -267\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Which is the nearest to g? (a) -8 (b) 2\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/7 (b) -2\/5 (c) 164 (d) -0.7 (e) 33 (f) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1147\/((-760461)\/(-66810)) + (-2)\/((-26)\/3)\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - c6bd2?\nAnswer: -c6bce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/2))**(5\/2))**(2\/23) assuming a is positive.\nAnswer: a**(-5\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9281d4 - 9?\nAnswer: 9281cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -32, 29.\nAnswer: -32, -2, 0, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -3. Suppose -2*j + 14 = w, l*j - 5*w = -3*j + 5. Suppose -3*x + 155 = j*h, 2*x - 3*x - h = -55. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2 - a - 11. Let y(o) = -o**2 - o - 6. Let h(r) = 4*t(r) - 7*y(r). Let n be h(2). Solve n = g + 3, w + 14 = -0*g - 3*g for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -214 (base 8) in base 4?\nAnswer: -2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/63)\/(2*((-147)\/18)\/7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/2 - (-42 + 23 + 11)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 24*q**2 + 11*q - 42. Let u(l) = -l**2 - 2*l. Let t(k) = -p(k) - 5*u(k). What is the second derivative of t(s) wrt s?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 14. Let v(o) = 13*o**2 + 7*o - 3. Let p(d) = -26*d**2 - 15*d + 5. Let s(i) = n*p(i) - 5*v(i). Find the second derivative of s(g) wrt g.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -63 + (-8)\/6*9\/(-4). What is the hundreds digit of 1*(51*5 + q\/15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5744 - z**4 + 4*z**3 + 11040 - 5*z**3 - 2*z - 5704 to the form k*z**2 + a + r*z**3 + c*z**4 + f*z and give a.\nAnswer: -408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 6576?\nAnswer: -1\/3288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*y - 2*y. Suppose -y*f = -3 - 5. Let x(u) = 4*u + 4*u**2 - 2 - 1 - 2*u - u**3. Calculate x(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033 (base 6) to base 13.\nAnswer: -28b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -534 or 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/3 - 146*s**2 - 23620*s\/3 - 7728 = 0. Calculate s.\nAnswer: -126, -92, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*g**3 - 838*g**2 + 16*g + 118342 wrt g?\nAnswer: 6*g**2 - 1676*g + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4392 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rir when three letters picked without replacement from {a: 1, z: 1, r: 3, i: 1, h: 5, e: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/12 + 2*w**3\/3 + w**2. Suppose 0 = -5*i + 3 - 8. Let x(m) = 1. Give i*k(h) + 2*x(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 4. Let k be a(-8). Let d = k - -9. Sort d, -2, 0 in decreasing order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*x + 5. Is 202 + x*(-5)\/((-40)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4553.4 * -0.1.\nAnswer: -455.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-45))\/(2023\/714).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**3 - 107*f**2 - 442*f - 48. Let r be v(-49). Let c(q) = q**2. Let a(j) = -13*j**3 + 3*j**2. What is r*a(g) - 3*c(g)?\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -4 (c) 0.1 (d) 3\/10 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 35756*o**2 + 3647110*o - 203. Determine m(-102).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1414*h**3 - 1404*h**3 - 82*h**2 + 82*h**2.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of d**3\/3 - 2*d**2 + 7*d + 2. Suppose f + 2*z = 1, -z = -f - 0 + 7. List the prime factors of y(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gddkdkdkdddddddkkd. Give prob of picking 1 d and 1 k.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, r: 2, j: 2, e: 3, f: 1, d: 7}. Give prob of sequence rgj.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -7*16\/(-280)*-45.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 4*c**2 - 3*c - 2. Let d be z(5). Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6045985 is divided by 217.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (51 + 77 - 38)*(-3 + 7*a + 3) in the form c + h*a and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**3 - o**2 - o + 1. Let f be z(1). Suppose -95 = -f*s - s. List the prime factors of s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 17*j + 8. Let a be u(21). Round a to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7.41 - 7.61. Let q be (-2)\/(-8) - 3\/(-4). Which is the closest to o? (a) 4 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24.7*-0.04.\nAnswer: 0.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 8:17 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 + 6*u**2 + 6*u + 10. What is the units digit of r(7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(-3\/17))\/i)**(-2)*i*i**(-4\/5)*(i\/i**(1\/7)*i*i*i)\/i assuming i is positive.\nAnswer: i**(419\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 6, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/105 + -8279\/420. Calculate the common denominator of w and -91\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s**2 + 11. Let l(r) = -r**2 + 2. Let h(g) = 4*b(g) - 22*l(g). Let c(t) = 13*t**2. Determine h(c(d)).\nAnswer: -338*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-10))\/((-10)\/(-25)). Let m be v\/8 + 3\/(-12). What is the nearest to 0.1 in -5, m, -3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*m + 269 = 21*m - 5*v, 2*m - 5*v = -171. Sort -5, 2, m, 4 in descending order.\nAnswer: 4, 2, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -8 + 0*g**3 - 1\/10*g**5 + 3\/2*g**2 - 23\/12*g**4 - 3*g. What is the derivative of n(z) wrt z?\nAnswer: -6*z**2 - 46*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12\/11, 4\/57807, 17 in ascending order.\nAnswer: 4\/57807, 12\/11, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.2 - 1.3. Which is the second smallest value? (a) i (b) 5 (c) 1\/2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * 1.14.\nAnswer: -37.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -4*h - 16, -5*b = -h - h + 22 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + 4 + -4 + 1. Let c(q) = -10*q**3 - 2*q**2 + 12*q - 4. What is the units digit of c(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*o - 2. Let k be (o\/3)\/1*5. Solve -k*m + 19 = -3*n, 4 = 5*n + 4*m + 11 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1347830 to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 2:42 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25451*t*v**2 + 121323*t - 6*v - 2 wrt v?\nAnswer: 50902*t*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3 + 48*d**2 + 4*d - 192 = 0 for d.\nAnswer: -2, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1517 + -1540. What is the third biggest value in -0.6, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((2 + sqrt(176) + 2)**2 - ((sqrt(539) + -1 + sqrt(539))**2 + -1)).\nAnswer: -1965 + 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 4:59 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 0*g - 10 = 0. Let p be 3\/12 - g\/8. Which is smaller: 0 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2 + d + 2. Let p(w) = w**2 + w + 1. Let c(r) = 2*p(r) - y(r). Let o be c(0). Let s be 0\/(o - (-2 - -4)). Solve 5*b - 6 + 31 = s for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-90 - -91) + (-3 - -4) + 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 13) + (-1 - -2 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 5:35 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = 5*h + 20, 44*h - 15 = -5*k + 46*h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 962737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 44800 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -68. Suppose -t - 271 = -4*a. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-57) + 2563\/1463. Which is greater: -5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b + 1637 = f, 2*b = 4*f - 6578. Let o = f + -753. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*z, 2787 = -2*v - 4*z + 7903. Suppose -v = -8*d - 13*d. What is the highest common divisor of 2 and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a hour in minutes?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 1. What is the units digit of i\/(-4) + (-5)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wnnnnnnnnnnbmnn. What is prob of sequence nnbm?\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -5 + (-6 - (1 - 8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 315 + -8?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 + 54762*h**2 + 4*h - 306283?\nAnswer: -24*h**2 + 109524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*z - 3 + (4*z - 5*z + 3*z)*(-2 + 1 - 1) + 4421*z - 9181*z + 3948*z + (1 + 2 - 1)*(-z + 1 - 1) + 3*z - z - z.\nAnswer: -819*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 - 19*p. Let r(a) = -553023*a. Determine r(y(w)).\nAnswer: 553023*w**2 + 10507437*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 12 = -2*a. Let z be 1\/(-3)*(a - 0). Suppose 17 = 3*y - 2*o, z*y - 5 = o + 5. Solve p - 2 = -0*p, y*p - 8 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -70 in 0.1, -5, 4, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9170 - -9193. What is the third biggest value in i, -16, -4\/9?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 185\/3. Let n = 0.15 - 5.15. What is the closest to -1\/4 in f, 3, n?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*j - 4, 4*z - j + 2*j - 7 = 0. Solve 0 = -n + z for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10667 = -57*w - 2459. What is the least common multiple of w and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + 0 + ((-157)\/(-1) - -6) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 719065 or 719064?\nAnswer: 719064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 2*c - 9. Let w be f(2). Which is smaller: -1\/124 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227926629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448) + 5)**2 - (sqrt(306)\/sqrt(2) - sqrt(34)\/sqrt(2)*-5)**2.\nAnswer: 240*sqrt(17) + 8729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(48\/(4032\/(-98))))\/((-3)\/(-119))\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of t**4 - 44*t - 399?\nAnswer: 4*t**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5 = 26. Let r = y + 19. Suppose 4*s - r = -0*s. Solve -s*c - 35 = 5*z, c - 4*z = -c + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 438 (b) -0.4 (c) -3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.55, 5, 1\/5 in increasing order.\nAnswer: -6.55, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, u: 1, i: 1, d: 1, z: 1, g: 2}. What is prob of picking 1 z and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-504)\/35)\/((-9)\/(135\/(-6))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19739 is divided by 614?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18468 + -11980. List the prime factors of v.\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1615.994 litres?\nAnswer: 1615994","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -c + 6. Suppose c*f - 6 = -2. Suppose -3*j = s - 155, f*s + 210 = 2*j + 2*j. What is the remainder when j is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3168)\/(-99))\/(-224))\/(1\/12)*1\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*h + 5*d, -2*h - 4*d + 12 = 2*h. Let n be ((-2)\/32)\/((-1)\/h). Let u = -0.6 - 4.4. Which is the smallest value? (a) 0.2 (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2 + 54*w**3 - 3 - 51*w**3 wrt w?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 96 = -1 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 141*p**2 + 2721*p - 601. Determine q(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1293299\/72 + 17962. What is the common denominator of 11\/162 and u?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0 - 6 + a**2 + 3*a + 10. Let c be z(-2). Solve 3*j - c*b - 2 = 0, j + b = -0 + 4 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 79 - 87 - ((2 - 0) + -4). Are t and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 303 + 2?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33 from -661051.\nAnswer: -661018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45896)\/(-72) - (-52)\/(-117). Calculate the highest common divisor of 98 and r.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -24*l - 2. Let i(k) = k**3 + 8*k**2 - k - 10. Let q be i(-8). Let y be m(q). What is the greatest common factor of 69 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 2*l**5 + 144*l**4 + 2074*l**3 - 428*l**2 - 5952*l + 4160 = 0.\nAnswer: -52, -20, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = -38*c + 71*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*w + 7*w. Let q = 0 - -9. Suppose -3*v + q = 0, -4*j + 3 = -5*v + 38. Put -2, w, j in increasing order.\nAnswer: j, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 217.\nAnswer: -2\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 283 = 32. What is the remainder when p is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12544055 - 0.07?\nAnswer: 12544054.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**4 + 17513*p**3 + 8757*p**2 = 0. What is p?\nAnswer: -1\/2, 0, 8757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*t**2 - 9*t**2 + 6*t**2)*(22*t**2 - 15*t**2 - 8*t**2) to the form h*t**4 + c + f*t**3 + b*t**2 + j*t and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37811?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 6 = 4*h, -5*v + 2*h + 42 = -0*v. Solve 0*j - v = -3*i + 4*j, 9 = 5*i + j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -3*u + 3 + 2*u - u. Let s(l) = 2*l + 1. Let y be s(-3). Does 13 divide q(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.319621 - -10.381. What is p rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 9*g**2 + 7*g + 13. Let i be ((-4)\/5)\/((-8)\/(-60)). Is p(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3794 less than 442.1817?\nAnswer: 442.5611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63875 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*q + 3 = -9, 4*q = -12. Suppose l = -8*k + 91 - 27. What is the smallest common multiple of 18 and k?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12948, -12949, -12950, -12951?\nAnswer: -12952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/15 and 73\/258965.\nAnswer: 776895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let s be p(1). Suppose -332 = 49*x + 34*x. Let l = -9 + 2. Which is the second biggest value? (a) l (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -257 >= -260?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 37. Let b = -407.7 - -425. Let s = b + -17. What is the third smallest value in -0.3, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/108 - 216\/3159 - 24\/26?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(sqrt(104) - (sqrt(104) - 1*sqrt(104))))\/(sqrt(16)\/sqrt(2)*-1))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 6. Suppose 4*m + v + 9 = b, m = -3*v. Let u(o) = -o**2 + 9*o - 3. Let h be u(m). Put -2, -8, h in descending order.\nAnswer: -2, h, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) 24 (c) -18 (d) -2 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6)\/(-8))\/(9\/(-8)))\/((-182)\/273)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -208959\/123041 - -19\/6002. Is -1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/7104 and -113\/7104?\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 162 = -6*a. Calculate the greatest common divisor of 288 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s + 36*s - 16*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(47*h - 67*h + 36*h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/5, 3, -13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(896))\/(sqrt(8) - (sqrt(112)\/sqrt(2) + sqrt(56))\/sqrt(7)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0742 times 437\nAnswer: -32.4254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39382 divided by -14.\nAnswer: 2813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -4 - -11 - 17.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240 by -651.\nAnswer: -80\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:23 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6719329.22255 and 2011?\nAnswer: 6721340.22255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34311 (base 8) to base 3\nAnswer: -201221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20717672.\nAnswer: 2, 31, 139, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 2*a - 3. Let i be r(3). Let w = -3 - i. Factor -2*o**2 + 0*o**3 - 2*o**w - 10*o**2 - 24*o - 16.\nAnswer: -2*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 15*v**2 + 81*v + 8. Let t(f) = 15*f**2 + 84*f + 9. Let r(b) = 7*s(b) - 6*t(b). What is r(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 9:55 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (-33 + -5 + 125).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g + 3. Let t(u) = -u + 1. Let i(z) = 4*t(z) - w(z). Let c be 1\/((5\/(-2))\/(-5)). Let p be c - 3 - -3 - 1. Determine i(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.11 - -0.31. What is the fourth smallest value in 5, v, -0.3, -2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4712515 by -4.\nAnswer: -4712515\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5\/2 (b) 2\/15 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143 is divided by 1086?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - i**2 - 41. Let u be c(0). Let m = 125 + u. Suppose 28 - m = -4*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1 + 20)*(-8 - -9). Solve 9*s = -c + 28 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 3*h + h)*(-245 + 245 + 100*h) - 3*h + 3*h - h**2 - 2 + 2*h**2 + 2 + (1 - 2 - 1)*(-4*h**2 - 2*h**2 + 5*h**2) - 2*h + 2*h - 4*h**2.\nAnswer: 199*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 15*h - 85. Suppose -19*x + 9*x = -80. Is o(x) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31642 (base 7) to base 6.\nAnswer: -100234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-47)*k**48)\/((k*k**(1\/4))\/(k\/((k\/(k\/((k*k*k\/((k\/(k**1\/k*k))\/k)*k)\/k)))\/k)*k)*k**(-3)*k**(1\/5)) assuming k is positive.\nAnswer: k**(31\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 7:43 AM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*n = -10, 5*n = -c - 2*c + 14. Does 2 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 3*k - 5. Let g be l(4). Let s be ((-6)\/(-4))\/(69\/92). Let a(p) = -61*p + 60*p + 0 - s + 1. Let m(c) = -2*c + 3. Give g*m(u) - 3*a(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1776742 is divided by 227?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 + -37.2. Is 7\/4 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 99804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**6\/120 - g**3 + g**2 - 6*g. Let u(o) be the first derivative of c(o). Differentiate u(t) with respect to t.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 179271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4\/7, 6\/11, -0.5, -45?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321422967.\nAnswer: 3, 35713663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j**5*j**(1\/12)*j*j*j*j*j**(-5))\/((j*j*j\/(j**(3\/8)*j))\/j**0)**(6\/11) assuming j is positive.\nAnswer: j**(-581\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - i + 7, 2*i + 4 = -0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 6*w**2 - 7*w - 2. Let r be a(-5). Let v(m) = m - 9. Let b be v(r). Let c = -0.24 - 0.06. Is b <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 2*o - 10, -26*x + 21*x - 2*o = -11 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/37, 3, 1\/5.\nAnswer: 5\/37, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 761768087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 + 212. Calculate the lowest common multiple of ((-6572)\/371)\/(2\/x) and 10.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2992.993077 - -2993. Round k to four dps.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 161966229 and 161966228 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 415863 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -777 + 4675\/6. Suppose -495 = 2*f + 4*r + 19, -2*f - 5*r = 518. Let b = f + 252. Is b >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*o**3 + 179*o**3 + 300*o**3.\nAnswer: 585*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - (sqrt(275) + 1 - sqrt(275)) - -2*sqrt(396) - sqrt(176)*-3.\nAnswer: -1 + 25*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 8 + 0*d + 0*d**2 - 5*d**3 - 4*d**2 + 6*d**3. Let y be n(6). Suppose 0 = -5*l + 2*o + 227, 0 = -2*l - o + 3*o + y. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 110 - 50. What is the remainder when 35 is divided by u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.294 and -2\/401 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -47273\/54 less than -874?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6315 + 340 = -126*s - 86 + 3813 for s.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31244.\nAnswer: 2, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 549*p = 497*p - 1508 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/2433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-551)\/(-19) - (-10)\/2 is divided by (-260)\/(-22) + (-2)\/(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 158181 - 104104. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.528, -1\/5, -4, 6, -18, 3?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let w be 2716\/91 + 1 + (-11)\/13. Let j(d) = -w - 13*d + 57 - 27. What is y(j(r))?\nAnswer: 338*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49062 by 8177.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*j + 55 = -191. Solve j*v = -2*k + 8, k - 2 = -4*v + v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 74065, 148163, 222261, 296359, 370457, 444555?\n\"Answer: 74098*q - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 617 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3024\/36)\/28*4\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1651719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i + 4. Let r be l(4). Let w be 6\/r - (5 + -6). Is 0 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2\/11, -2\/15 in decreasing order.\nAnswer: 13, 2\/11, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.1. Sort 2\/17, 0, z.\nAnswer: 0, z, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 5:49 PM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*g + 2, 16 = 2*g - 4*x - 4. Suppose -2*p - g*p = -36. Solve -q - 2*d - p = 0, 5*q - 3*d + 0 = 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 plus 2.398?\nAnswer: 315.398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -1174*w - 8258. What is y(-7)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/126 and -76\/339.\nAnswer: 14238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5017 + -1017. Round j to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -650\/7*f + 326\/7*f**3 + 0 + 1\/7*f**4 + 323\/7*f**2 = 0. What is f?\nAnswer: -325, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 + 1030303?\nAnswer: 1030322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -28*o**3\/11 - 43*o**2\/11 - 2*o\/11 + 677. Suppose d(l) = 0. What is l?\nAnswer: -1, -1\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g**2 - g. Let o be b(1). Let v = o - -9. Solve 2*u = -0*u - v*n + 22, 3*u - 3 = 3*n for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 0 - (3 - (-24)\/4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -2*i**6\/15 + 8*i**4\/3 - 32*i**2 - 282*i - 2. Let j(y) = 0. Calculate y.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*v + a - 4, -2 = -2*v - a. What is the common denominator of 18\/33*(-5 + v) and -35\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iop when three letters picked without replacement from pispspsoipsooo.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18153?\nAnswer: 3, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 50\/(-13) - (-55 + 52).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*-3169485\nAnswer: -12677940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*m - 15, -2*z + 3*m + 9 = 2*z. Let v be (-20)\/z + 6\/(-9). Let f = v + 8. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/10*240\/64*(-8)\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/4 - 115*k\/4 + 117\/2 = 0. What is k?\nAnswer: -117, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 10:49 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:20 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l + 2. Let z(s) = s**2 - 2*s - 6. Let b be z(5). Suppose -12 = 4*h - 2*w, -b = 5*w + 1. Does 25 divide o(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -850, -2, 12, 2 in descending order.\nAnswer: 12, 2, -2, -850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 421184.\nAnswer: 2, 6581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 62 + 18 = 3*i, 0 = 4*i + 3*r - 95. Suppose -i = 7*a - 2*a. Let n be a\/(-6) + 6\/(-9). Solve -3*w + 1 = h, 3*h - 4*w - 3 + n = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-15)\/(-10) - 1). What is the greatest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 266 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -668.9325 - 0.0675. Let r = s + 669.099. What is r rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (3 - -3) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195)\/18*(-5)\/1*(-129)\/2150?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2600531709 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 c be (-27)\/(-12) + (-1)\/4. Suppose c*y = 3*k + 117, -4*y = -4*k - k - 233. Round y to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.55 - -1.3. Let u = t - -1.04. What is u rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06 + 1.94. Let g = q - 0. Let h = 254 - 2029\/8. What is the closest to -2\/7 in -2, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 415*m**2 + 787*m**2 - 265*m**3 - m**5 - 479*m**2 + 1008*m**2 + 5*m**5 wrt m?\nAnswer: 240*m**2 - 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 355, 859, 1597, 2563, 3751, 5155, 6769?\nAnswer: 8587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*c + 12 = 0. Suppose 0*z - c = -z. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*m - 52 = 2*u, 2*u + 13 = m. Suppose 4*s = f + 92, -5*f - 2 = -s + 2. Let b = s + u. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 263\/2. What is the common denominator of t and -19\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1009 - 931.2. Let j = w - 77.80000635. Round j to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -127049 + 127257. Let m = -35 + 77. Calculate the remainder when h is divided by m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32253 (base 6) to base 10\nAnswer: -4425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -7*(-19274)\/12 - (-13)\/(-78) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*l - 21. Suppose 3*s - 1 = -13. What is the units digit of l + 2\/2*s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, o: 4}. Give prob of sequence xxo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/519 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 286*i**2. Let b(k) = -178*k**2. What is g(b(d))?\nAnswer: 9061624*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-11)\/(-5) + 3\/(-15). Suppose -u*j = 1 - 17. Let f = 5128 - 5121. Are f and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**2 - 12865*a + 38550 = 0.\nAnswer: 3, 2570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*y + 36 + 24. Let g be y\/(-4)*(22 + -6)\/(-4). Calculate the highest common factor of 6 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4311156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-5 - 0) - (-7 + 2)) + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 57202, 114189, 171176?\n\"Answer: 56987*h + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.037 times -3.61?\nAnswer: -0.13357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -121*b + 37958890 + 696133. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*a = -6789402, -4*g - 1263232 = 5*a + 4168295. Let v = g - -818878. Round v to the nearest 10000.\nAnswer: -540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h*h*h**(-2))*h)\/((h\/h**2)\/h))\/(h**(-6\/7)\/(h**21*h*h)) assuming h is positive.\nAnswer: h**(188\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 79 - 4\/1 - -4. Let h = s + -74. Solve 4*f - 5 = -h*a + 5*f, -3*a + 21 = 3*f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/14)*(((q\/q**3)\/q)\/q*q*q)\/q)\/((q*q**12*q*q*q)\/((q**2\/q)\/q)) assuming q is positive.\nAnswer: q**(-267\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -24*s**3 + 2*s + 634. Let t(x) be the second derivative of x**4\/12 + 3*x. Determine w(t(m)).\nAnswer: -72*m**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - -18. Let n(z) = -z**3 - 43*z**2 + 88*z - 9. Calculate the remainder when n(-45) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29.44 - 29. Let a = 0.44 - f. Sort a, 1.3, 4 in decreasing order.\nAnswer: 4, 1.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -5*t**2 + 20*t + 9. Let n(o) = o**2 - o + 1. Let p(x) = -3*n(x) - q(x). Let y be p(13). Let s = y - 102. Solve 3*h = 2*h + s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000165492894 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 425.474*5\nAnswer: 2127.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 divided by 302.\nAnswer: -21\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 202 + -121. What is the smallest common multiple of 15 and u?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 34 = 3*x, 2*x - 1 = -x + 5*m. Let h = -23 + -8. Let t = x - h. What are the prime factors of t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + (-3 + sqrt(12)\/(sqrt(24)*-5) - (3 + -1 + (sqrt(2) + -3 + sqrt(18))**2))).\nAnswer: -239*sqrt(2)\/2 + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-26)\/((t*t*t**(-1)*t)\/(t**(-2\/17)\/t))*t**(2\/7)*t*t**(-2)*t**(7\/5)*t*t*t*(t\/((t*(t\/(t*t**(-3\/2)))\/t)\/t))\/t assuming t is positive.\nAnswer: t**(81\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -50. Let o be (-1)\/2 + (189\/60)\/b. Suppose 0*m = m. Is o > m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 4026.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (131\/51090*-52)\/(-4*(-3)\/50)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49314352.421063 + -117711.577567. Let r = j + 49431832. Let p = r + 232. What is p rounded to 4 decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 108332302*a**2 - 8*a - 4257547?\nAnswer: 216664604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*y + 60 = -24. Suppose -18*p + 17*p - 4 = -2*o, y*o - 10 = -2*p. Solve -p*d + 7 = -4*d + c, 4*d - c + 11 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2504*v**3 - 4*v**2 + 5. Is n(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265460 is divided by 37828?\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = 42*p - 73. What is o in -1\/3*o**4 + 0*o + 0 + 1\/3*o**3 + 1\/3*o**p - 1\/3*o**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -272, -364, -430, -470?\nAnswer: -484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3168)\/(-360)*2\/((-8)\/10).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85542099.\nAnswer: 3, 173, 164821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(16)\/sqrt(512)) + sqrt(2) + (sqrt(144)\/sqrt(8) - sqrt(18)).\nAnswer: 15*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f + 11. Let q(z) = -4*z + 4. Suppose -3*c = -9, -2*y + 4*c - 12 = -0*y. Suppose -2*a - 12 = -y*a. Calculate a*j(n) + 17*q(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -592, -595, -602, -613?\n\"Answer: -2*h**2 + 3*h - 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 93, 2, -2 in decreasing order.\nAnswer: 93, 2, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -102 (c) 0.6 (d) -2.1 (e) -194\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1155.\nAnswer: 3, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**2 - 2*k**3 - 3*k**2)*(37 - 26 - 8*k - 17)*(2*k - k + 2*k).\nAnswer: 48*k**5 + 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2772, -11051, -24840, -44145, -68972, -99327, -135216, -176645?\nAnswer: -223620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svnxhhvs. What is prob of sequence ss?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 374181784 and 29632?\nAnswer: 3704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/2)*o*o)**(2\/5) assuming o is positive.\nAnswer: o**(3\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - 2*2*sqrt(153)) + sqrt(153) + sqrt(153))\/(4*sqrt(9)*2) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 364\/11. What is the common denominator of 58\/9 and y?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 7*t + 4. Let h be (-2)\/7*(-21 + 7). Let p be s(h). Does 19 divide 2 - (-158 - p) - (-4 + 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*s + 1765388. Let h be s + (-3)\/9*0. Let n = 3465388 + h. What is n rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1207 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + 11682 - (-4 - -10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q - 5*q + 0*q)*(-3*q - q + 3*q) + 3*q**2 - 5*q**2 + 3*q**2 + (-1 + 2*q + 1)*(q - 2*q + 0*q) - q + q + 25*q**2 as i + r*q + g*q**2 and give g.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m - 11 - 2 + 3 + 4 - 8.\nAnswer: 3*m - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(9\/2))**15*j**(1\/3)\/(j\/(j\/j**(5\/6))))**(-50) assuming j is positive.\nAnswer: j**(-3350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k**2 + 1725892*k + 60404995 = 0. Calculate k.\nAnswer: -1725857, -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/2))**(-41)*n**(-1\/6)\/n*n*n**(1\/11) assuming n is positive.\nAnswer: n**(-679\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.92? (a) -1\/5 (b) 2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*89.\nAnswer: -712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-39 + -14)\/((-2)\/16) a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 374*m**2 - 712*m - 63. Determine f(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30855395 is divided by 2152?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 2*r - 61 = 0, -5*b + 2*r + 58 = 3*r. Suppose -17*g = -6*g + b. Is -212*((g\/4 - 4) + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9, s: 3}. What is prob of sequence ssas?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 - 8*n**2 + 6*n + 147. Let u(y) = -y**3 - 2*y**2 + 2*y - 4. Give -p(v) + 3*u(v).\nAnswer: 2*v**3 + 2*v**2 - 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.1, -2, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1, -2\/5, -31542, 1\/2, -2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/18)\/(18\/144). Put -1\/4, -1\/7, 2\/3, t in increasing order.\nAnswer: -1\/4, -1\/7, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b (base 14) in base 11?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301853107 to the power of 1\/3, to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13560 and 50.\nAnswer: 67800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/11)*w**1)\/(w**(-1\/11)\/w**(-20)) assuming w is positive.\nAnswer: w**(-207\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -11*z**2 - 28. Let w(v) = -57*v. Determine w(t(c)).\nAnswer: 627*c**2 + 1596","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z - 5. Let n be a(8). Suppose -2*m = -n*m + 2. Suppose 4*q + 5*x = 22 + m, -4*q = 2*x - 36. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26247, -52476, -78705?\n\"Answer: -26229*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 2:30 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24633740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-12) - (-3)\/9. Let x(u) be the second derivative of -1\/12*u**4 - u + 0*u**3 + w*u**2 + 0. Give x(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(3)*1)**2 - sqrt(33)\/sqrt(176).\nAnswer: -sqrt(3)\/4 + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w + 2. Let n(z) = 17*z**3 - 20*z + 12. Determine n(t) - 6*p(t).\nAnswer: 17*t**3 - 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g**4\/4 - 205*g**3\/4 - 90*g**2 + 820*g - 160 = 0 for g.\nAnswer: -4, 1\/5, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 27*f**2 + 38*f - 6. Let j(z) = -4*z**3 + 109*z**2 - 147*z + 23. Give 6*j(y) + 23*v(y).\nAnswer: -y**3 + 33*y**2 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/304, -0.5, 733 in descending order.\nAnswer: 733, -3\/304, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*o + 2*m, 2*o - 6*o = -m + 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1061, 2257, 3479, 4739, 6049, 7421?\n\"Answer: 2*d**3 + d**2 + 1179*d - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 7:57 AM?\nAnswer: 2:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -38*j + 36*j, -2*y = 5*j + 38. Which is the nearest to 0.01? (a) j (b) 1 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of g**7\/70 + g**6\/8 + 9*g**5\/20 + 7*g**4\/8 + g**3 + 8*g**2. Factor y(b).\nAnswer: 3*(b + 1)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/5, -8, -2 in ascending order.\nAnswer: -8, -4, -2, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 212221479749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 times -5159.66\nAnswer: -77394.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27.75174*0.01.\nAnswer: 0.2775174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a millennium in centuries?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/8 - 22095*z\/4 + 33147.\nAnswer: -(z - 6)*(z + 44196)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 7*u + 4*u - 16, -5*u = 4*q - 120. Calculate the greatest common factor of 1970 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3229, -3, -1, 3, 41.\nAnswer: -3, -1, 3, 41, 3229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*g - 129*g - 10905 = 0. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1179 and 7055529.\nAnswer: 21166587","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 24*s - 22. Let v(j) = 2*j**2 + 21*j + 38. Let m be v(-9). Let u be p(m). Solve -11 = 3*a + 2*a - 3*c, 4*a - c + 13 = u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -1\/37324?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -129?\nAnswer: -64.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/62 or 0?\nAnswer: 1\/62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*p = -20*p - 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 + 13. Let z be ((-6)\/8)\/((-28)\/(-16)). Let a = 2 - 4. What is the third biggest value in a, w, z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 552 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*1530\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77974, 77969, 77964, 77959?\nAnswer: 77954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a hour in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**3\/3 + c - 1. Let u(l) be the first derivative of j(l). Let k(z) = 5*z + 2*z - 8*z - z. What is k(u(s))?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -6*t**3 + 5*t**3 - 2*t**3 - t**2 + 1. Determine o(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3153 - -9567. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -w + 3*m - 3, -6 = -2*w - 3*m. Let x be 1\/(5\/(-5)) - w. Suppose 2*b - 4*b = -4*s - 40, 0 = x*b + 3*s - 54. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15\/3707 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10920\/1365*(2820\/(-32))\/5.\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 16. Let u(r) = -r + 21. Let z(b) = -2*t(b) - 3*u(b). Let s(p) = -6. What is 11*s(g) - 2*z(g)?\nAnswer: 2*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 654089294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r - 11. Let w be s(8). Let j = 7 + w. Solve 3*q - j = 2*l + 1, -3*q - 4*l + 35 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*a**3*f**2 - 39*a**3*f*x + a**2 + 93*a*f**2*x - 17*a*f**2 - 2*a*f wrt x.\nAnswer: -39*a**3*f + 93*a*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(19)*-3 - (sqrt(171) - sqrt(171)*-3 - sqrt(171) - sqrt(171))\/sqrt(9)) + -1*(-1 + sqrt(76)))**2.\nAnswer: -26*sqrt(19) + 3212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*w + 72, -6*w - 156 = -w - 2*g. Let r be w\/(-25)*(-40)\/(-12). Calculate the greatest common divisor of 4 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 259289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0283 and 0.001.\nAnswer: -0.0000283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -333 + 372. Suppose -7*q - 21 = -3*r - 2*q, -i = -3*r - q. Calculate the remainder when 57 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - -0.95. Let d = 5.8 - h. Let t = 5.3 - d. Which is the closest to -2\/7? (a) 0 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 127032490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 6*m**2 - 3*m - 3. Let j be w(-2). Let v = j + -27. Let i(h) be the second derivative of -h**5\/20 - h**3\/6 - 7*h**2\/2 - 6*h. Determine i(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9001568.7026 - 39.\nAnswer: 9001529.7026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7327.546 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let t be n(-5). Let u = 17 + t. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 5) to base 13\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 130739 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -217134881 greater than or equal to -217134882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3402 by -3.\nAnswer: -1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (-3 - (-27)\/(-3)). Is (6\/v)\/((-1)\/(-266)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4)*-1)\/((-1)\/12). Calculate the common denominator of 74\/3 and (((-608)\/h)\/8)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24174 is divided by 192.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (11\/(-3) + 2). Let i = -353 + 356. What is the second biggest value in p, i, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043283537.\nAnswer: 3, 127, 304253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1)\/24*42\/21.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 9 + 4 + 52*b**3.\nAnswer: 52*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -3)\/((-2 - -2) + 2). Round n to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-213 - -33)\/(6\/124000). What is n rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14379 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41527898 is divided by 680785.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120250465?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 136*l**2 - 271*l - 539. Give s(138).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125.09051 rounded to one dp?\nAnswer: 125.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/13 in -17, -18, 130, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**5 + 5*q**4 + 30*q**3 + 10*q**2 - 25*q - 15.\nAnswer: -5*(q - 3)*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**5\/60 + c**4\/6 + c**3\/2 - 2*c**2. Let n be b(5). Is n + -18*(-2)\/4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(1\/28)*(t\/(t**(-4)\/t))\/(t*t**4))\/((t**(-1\/4))**(-1\/3)*(t**(2\/5))**36) assuming t is positive.\nAnswer: t**(-1412\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 18*n - 21. Let y be v(-7). Solve y - 16 = -4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 30 + 6. Let c = -25 - m. Let d = 725\/144 + -93\/16. Which is smaller: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.905 + -371.905. Let x = 368 + i. Let z = 17 - 17.07. Which is the second biggest value? (a) x (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 8. Suppose 23 = 4*z - x. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -1, -193?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63420 divided by 420.\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -107*l**2 - 5*l - 19. Let s(y) = 212*y**2 + 11*y + 33. Give 7*b(u) + 4*s(u).\nAnswer: 99*u**2 + 9*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99689?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/539752 or 0?\nAnswer: 3\/539752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*k = -8, -3*v - 7*k + 3*k = -16. Solve 3*p = -v + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-44) - (-42)\/8. Let m = -742 - -747. What is the greatest common factor of z and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/49*1*(-2)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44269, 44280, 44291, 44302?\n\"Answer: 11*y + 44258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 107 = 2*n + 5*c, 2*n + 5*c = 51. Let v(u) = 27*u**2 + 23*u - 22. Let t be v(1). Calculate the greatest common factor of n and t.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by ((5472\/30)\/12)\/((-5)\/(-25))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -561*w**3 - 66246 + 132496 - 66250.\nAnswer: -561*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -60.04 - -60. Let g = w + -0.46. Sort 1\/5, g, 2\/7, -8 in ascending order.\nAnswer: -8, g, 1\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 83.\nAnswer: 1, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5397 - 5402. Suppose 3*a + 1 = 5*g, -9 = -2*a - 5*g + 32. Suppose 5*w - 5*v + 20 = -20, -w + 22 = 5*v. Put a, w, l in descending order.\nAnswer: a, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6534, 7182, 7830, 8478, 9126, 9774?\nAnswer: 10422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, k: 1, v: 5}. Give prob of sequence kvv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 102053520 (base 6) in base 7?\nAnswer: 21063141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 - -21. Let x = n - -17. Let b = x - 11. Sort -0.2, b, 0 in descending order.\nAnswer: 0, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306*q = -1239 + 321. Let r(g) be the second derivative of 0 + q*g**3 - 45*g + 0*g**2 - 31\/12*g**4. Find the second derivative of r(s) wrt s.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108 + -29. Let y = g - 51. Suppose 2*s - 48 = y. What is the highest common factor of s and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 - 35*x**2 + 14*x + 42. What is b(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -5. Let w(c) be the second derivative of -c**6\/360 + c**5\/20 - c**4\/4 - c**3\/3 + 3*c. Let g(z) be the second derivative of w(z). Give g(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.45 + -1.75. What is i rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1927.1361 months to millennia.\nAnswer: 0.160594675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -214*v**4 - v**2 + 2*v - 1819 with respect to v.\nAnswer: -856*v**3 - 2*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 3 + (-3)\/3. Let l = -969 + 59103\/61. Do j and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/19)*y**6)**(2\/35)*((y**3*y)\/(y\/(y\/(y\/(y*y**(4\/3)*y*y))*y)))**50 assuming y is positive.\nAnswer: y**(118846\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 16 = -0. Let s = 9 - q. Solve 3*a = 2*a + 4*t + 4, 0 = a - s*t - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -3)*(-3)\/(-6). Let l = -8 - j. What is the remainder when 2 is divided by ((-2)\/6)\/(1\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44 to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69.986 - 0.386. Let i = 66 - r. Let p = i + 3.5. What is the fourth smallest value in 0.5, p, -0.2, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*b**3 - 35*b**3 + 16 + 12 - 25.\nAnswer: 63*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 10 = 4*z. Suppose -z*y - 118 = -4*y. Suppose 3*w - u = y, u + u = 4*w - 76. What are the prime factors of w?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {y: 5, c: 1, g: 1, t: 9, j: 1, a: 1}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*y + 4. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 81, 83, 83, 81, 77?\n\"Answer: -o**2 + 5*o + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4175 + -3042. Is x at least as big as 1134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9439\/10510 + 2\/1051. Find the common denominator of -9\/62 and j.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 2*b. Let n = b - -65. Suppose -5*r + 230 = -n. List the prime factors of r.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002123330966 to seven decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.57 + -0.57. What is the closest to -1\/4 in k, 1\/4, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38683 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: What are the prime factors of 19404?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 89 - 80. Suppose x*d - 16 = 2. Solve d*k = -0*k + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-10 - (-14 - -7)) + -1 + -4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of d**7\/21 + 181*d**4\/4 - 7*d**3\/6 - 77*d**2\/2 - 641*d. Find the second derivative of g(x) wrt x.\nAnswer: 40*x**3 + 1086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 103236 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3 + 2 - 3 + 2 + m. Suppose 5*k + 12 = -3. Let d(c) = c - 2. Let n(b) = k*d(b) + 4*i(b). Calculate n(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - m - 2)*(2*m - 1 + 1) + 2*m**2 + 2*m**2 - m**2.\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*v + 40 - 40 - v - 2*v + 2*v + (3 - 3 + v)*(-2 + 3 + 1) + 2 - 2*v - 2 + 2 - 2 - 3*v + (0 + 0 - 2)*(10*v - 10*v - 13*v) as f*v + a and give f.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + 5. Is 26 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -461 - -460. Which is the smallest value? (a) 0.187 (b) u (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696 and 608445056.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148 - 98. Suppose 5*g + 3*b = -f, -20 = -2*g + 4*g + b. Let i(v) = 2*v**2 + 15*v + 10. Is 10 a factor of i(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 + 5*s**4 + 9*s**4 + (-5*s**3 + 3*s**3 + 0*s**3)*(4*s + 0*s - 3*s) + 0*s**4 + 3*s**4 - 2*s**4 - s**4 + 2*s**4 + 0*s**4.\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -715977711 and -18626.7.\nAnswer: -715996337.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4462 + 4460. Sort 48, h, 2, 5, -4 in descending order.\nAnswer: 48, 5, 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6320, 25240, 56772, 100916, 157672, 227040, 309020?\nAnswer: 403612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + x = -1 - 0, -4*x - 4 = -4*u. Suppose a + 5*o - 12 = 0, u = -a + 3*o + 2*o - 8. Solve -g = -5*q - 25, -2*g + 7 = -q + a for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.386 + 0.186. Let n be 0*(-3 - -2) + 0. What is the nearest to t in n, 1\/5, 4\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:14 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**7*h**(3\/4)*h**(-1\/5)\/h**1 assuming h is positive.\nAnswer: h**(131\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26259 or 2?\nAnswer: 26259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/7)\/(t*t*t*t*t**(-4)*t*t)*(t\/(t*t**(-1)))**(-7) assuming t is positive.\nAnswer: t**(-66\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 863704263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1192134 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**2 + 2*t + 4. Is q(5) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.76 - 5.735. Let o = 4 + d. Let q = o + -0.02479. What is q rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a + 4*a - a + (9 - 1 - 7)*(-6901 - 37*a + 6901).\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/2916 and -5\/48?\nAnswer: 11664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/4*(-3)\/(-5)*(-75)\/(452250\/60)?\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 7*t**2 - 7*t + 7. Let h be l(6). Find the common denominator of 9\/7 and h - 100\/(-8)*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (5 + (-10 + -2 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 116 and 14?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 979?\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24 - -1b80b7?\nAnswer: 1b8093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*a + 11*a + 12 + 88*a - 9 to the form z*a + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 3*o = 1, 4*l + o = 141 - 148 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 11, -3 in decreasing order.\nAnswer: 11, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-495)*(-9)\/(-6))\/(12\/(-6))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -137 in decreasing order.\nAnswer: -3, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a milligram in nanograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -153) + -63 + -63?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3813541 - 349556.98\nAnswer: -4163097.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 10934 = 3*m + 3254, 2*d - 7692 = -3*m. Suppose g = 3*g + m. Is g\/(-15) - 4\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2475 + -12.38.\nAnswer: -12.1325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.51 + 11. Let w = 0.39 - t. Let p = 0 + -2. Which is the closest to w? (a) p (b) 5\/6 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (7 - 6) - (-2 - (-4 + 2))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 49 + (-46 - (35 - 41))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*c**2*d + 1317*a**3*c**2*r**3 - a**3*d - 2*a**2*c*r**2 + 158*a*c + 6*a*d*r**3 + 3*c**2 + d*r**3 wrt c.\nAnswer: 4*a**3*d + 2634*a**3*r**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + -6 - 10) + 11 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.7 - -0.3. Let w = -271\/485 - 4\/97. Let j = 19\/15 + w. Which is the third biggest value? (a) i (b) -1\/2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387176572?\nAnswer: 2, 3, 11, 1644061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6587932858?\nAnswer: 2, 13, 101, 163, 15391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1519 is divided by 365?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 114030*n + 113957*n - 223031*n + 5*n - n - 2*n + (2*n + 0 + 0)*(2 + 0 - 1) as k + i*n and give i.\nAnswer: 4960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 48440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1272)\/(-6)*-1*(-30)\/(-60)?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) -4\/5 (c) -79609 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 396*z + 1122*z - 243*z + 1703*z + 3657 wrt z?\nAnswer: 2978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 9) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16432637*-0.1\nAnswer: 1643263.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -770, -1380, -2154, -3170, -4506?\nAnswer: -6240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2002 (base 6) to base 11\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 88 = -4*v, -3*v + 55 = g - 3*g. Suppose 288 - v = 2*b + 5*d, 426 = 3*b - d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 5*b**2 - 6*b - 3. Let r be i(7). Let k = 58 - r. Let f(x) = 4*x + 18. Let z be f(k). What is the highest common factor of z and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -65 + -7b17?\nAnswer: -7b7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + a = -16, -2*m + 2 - 10 = 2*a for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 169650316 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 127055?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4659, -19092, -43303, -77292, -121059, -174604?\nAnswer: -237927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 - 0) - ((-11 - 8) + 13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 26575452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*s**2 + 6*s**2 + 7*s**2)*(-5 + 4 + 0)*((0 + 2 - 1)*(-4 + 3 + 0) + 4 + 1 - 6)*(-1 - 4 + 1)*(-152 + 73 + 76) as f + y*s + h*s**2 and give h.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*(8 - -2). Let q be (378\/(-77) - -5)*33\/(-6). Which is the third biggest value? (a) l (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 14. Let h be (-4)\/(-12) + 1838\/l. Is 2\/10 + h\/(-45) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 49 - 14. Let n(z) = 6*z**2 + 6*z - 15. Let v be n(3). Let p = v + -54. Solve -g + 8 = -5*r - 12, -p*r = 4*g + h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/21)\/(1\/9). Suppose -3*n + 8 = 5*m, -4*m = w*n - 3 - 7. Calculate the greatest common divisor of 42 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(57 + 4 + 2)*(3*l - 4*l - 1 + 2*l) as h*l + j and give j.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -8*x + 5. Let s(g) = -9*g + 6. Let j(c) = 6*m(c) - 5*s(c). Let p(k) = 3*k. Calculate j(p(f)).\nAnswer: -9*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, 6, 0, 2, 5 in descending order.\nAnswer: 6, 5, 2, 0, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 4)*((-n - 4*n + 2*n)*(-4 - 1 + 0) - 5*n + 5*n + 2*n + 2*n - 2*n - 2*n).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 6*r - 2*r - 5*u, 4*u = 0. What is the tens digit of r - (3 + -212) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5467419109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -10 - (-6 + 0 + 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 152*k - 27. Suppose 0 = 6*f - 197 + 11. Is i(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 157 and 1256.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1322012?\nAnswer: 1322022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 4:52 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -28. Solve -5*c = -j - 18, -2*c = -j - 12 + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i - 57. Let q be x(-7). Calculate the greatest common factor of 104 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, 1\/352, 3.6 in increasing order.\nAnswer: -39, 1\/352, 3.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (31 - (37 - -37)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 369*u - 776*u + 405*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2131a (base 12) to base 16\nAnswer: aa86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/4 in -5, 3, -25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3caca (base 15) in base 5?\nAnswer: 22213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 30778990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 + 236. What is the greatest common factor of 23 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6217952 is divided by 371?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -15831304.12 to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3471 + -4?\nAnswer: -3475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -5*a**3 + 9*a**2 - 7. Let f(o) = -9*o**3 + 17*o**2 - 13. Calculate -6*f(k) + 11*y(k).\nAnswer: -k**3 - 3*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6 - 3 - 2 - h**4 + 4 wrt h.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -h - 3*h. Suppose 29 = 2*o + o + 2*d, 0 = -2*o + 4*d + h. Calculate the least common multiple of o and 39\/26*40\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + 3*r + 5. Let w be g(4). Is 9 a factor of (-1 + (3 - w))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -574 - g + 4*g - 1189 - 292.\nAnswer: 3*g - 2055","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1629 = -127*d + 784 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781025 is divided by 1036.\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r = 5*j - 26, -3*j + 30 = -3*r. Let l be 3 - ((0 - r) + -3). Suppose l = -5*c + 2*c + 246. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187712 is divided by 745.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from xxxbbbbxxxxbxxxxxb.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6945, -6942, -6937, -6930?\nAnswer: -6921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 8. Let o = b - 3. Let x = o - -0.5. Round x to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9640, -18782, -27436, -35608, -43304, -50530, -57292?\nAnswer: -63596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 112769, 112772, 112769, 112754, 112721, 112664?\n\"Answer: -o**3 + 3*o**2 + o + 112766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 10*q**2 + 4*q - 22. Let f be a(11). Let v = -3052 + 3065. What is the greatest common factor of f and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68633 + 68634. Let z = 2 + -2. Put 2\/3, z, o, 3\/7 in increasing order.\nAnswer: z, 3\/7, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -5*n**5 - n**4 + 14*n**3 + n**2 + n + 5. Let g(c) = 3*c**5 + c**4 - 7*c**3 - c**2 - 2. Let v(m) = 5*g(m) + 2*i(m). Let v(l) = 0. Calculate l.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-4))\/(4 - 185\/45). Let f(b) = b**3 - 9*b**2 + 6*b - 11. What is the remainder when f(m) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = 6*u + 117 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1180 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 28*v + 34. Let w be i(-27). Solve w*m - 2*m + 31 = 2*t, 4*t + 13 = -5*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 453681\/(-162)*(12\/(-9) + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1139392, -1139399, -1139412, -1139431, -1139456, -1139487, -1139524?\n\"Answer: -3*y**2 + 2*y - 1139391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3 - 796*a**2 + a - 2397?\nAnswer: -6*a - 1592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5 - -3 - (-4)\/(-2). Suppose -3*x + 0 = -3. Put x, 5, a in descending order.\nAnswer: 5, x, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -753.27 + 750. Let h = j - -0.27. Which is the closest to 0.1? (a) h (b) -0.5 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/176855 and -99\/45260?\nAnswer: 51641660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03211 and 0.02.\nAnswer: -0.0006422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 6 = -6*d - 156, -109*d + 123 = -105*d + 5*q - 45 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 28 = -17*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -67*o + 2403. Let q be l(36). Put -2, 2, 6, q, 4 in descending order.\nAnswer: 6, 4, 2, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 22 = 7, 2*u + 11 = 3*t. Let x be (5 - u)*(-2)\/(-2). Let d be 1*5 + (-6)\/x. Solve w + 0 - d = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/2 - 1)\/(23\/345). Let g be (-1 + 2\/(-4))\/(z\/(-40)). Put 3, -3, g in descending order.\nAnswer: 3, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -13*i**4\/3 - 739*i**3\/3 - 10481*i**2\/3 - 8237*i\/3 + 506 = 0.\nAnswer: -33, -23, -1, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 1777 + 1777 - 8*b**2 - 3550 + b - 4*b - b**3. Suppose -8*i = -3*i - 5*r + 40, -2*i = 4*r + 22. Is 17 a factor of f(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - 5. Let z be 8\/((-3)\/(-3)) - d. Let f = -40 - -44. Solve -4*u + f = -5*u, 0 = w + z*u + 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -627 - 673 + 3*u**3 - u**3 - 1529 in the form y + c*u**3 + m*u + k*u**2 and give y.\nAnswer: -2829","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*n - 4 + 3)*(19 - 1 - 42) - 3*n + 2*n + 5*n to k + f*n and give k.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 145*j + 3982. Calculate the remainder when p(-20) is divided by 351.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - z**2)*(-5*z + z + 5*z) + 120 - 120 + 35*z**3 as d*z**2 + r + j*z**3 + p*z and give j.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 0)*(-2*p + 2*p - p) - 2 + 3 - 6*p - 5 + 4 - 3*p - 4 + 11*p - 12*p - 19*p + 2*p - 1 + 1 as j + b*p and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 0.1029 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 440033.152 + -435093. Let d = 4982 - f. Let r = d - 42. What is r rounded to 2 decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 3. Let p be z(-9). Let a be 4\/p - (-124)\/6. Solve -4*f - 4 + a = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 0*u**3 + 0*u**4 - 4*u**2 + 0 - 7\/120*u**6 + 1\/30*u**5 + 0*u. Factor q(i).\nAnswer: -i**2*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5820121l in millilitres?\nAnswer: 582.0121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6\/5, -2, -8, 0, -3\/7, 59?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10535*a + 16182*a + 12711*a + 15552*a to the form l*a + w and give l.\nAnswer: 33910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -231*c + 230*c + 4. Suppose c*b - 2*l = 18, 5*b = 4*l - 7*l + 17. Solve 0 - 7\/3*h**2 - 5\/3*h**b + 1\/3*h**5 + 2\/3*h + 3*h**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r**3. Suppose 4*l - 14 = 2*m, -6*m + 2*m - 3*l + 16 = 0. Let g be -3 + m + 3 + 0. Give t(g).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000952248 to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2613679558?\nAnswer: 2, 7, 19, 127, 77369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s - 5. Let i be n(4). Let y(t) = -2*t**3 + t**2 - t - 1. Let w be y(i). Which is the biggest value? (a) -0.3 (b) w (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 10:27 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v - 20. Let o(w) = -w + 7. Suppose -5*a + 15 = -15. Suppose -68 = -9*k + 5*k. Give a*d(c) + k*o(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38.59372 - -38.6. Round v to four decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -712 + 668. Sort -0.3, 3\/8, 3\/4, s in decreasing order.\nAnswer: 3\/4, 3\/8, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2*(-7)\/294.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -3218773 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46318256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + d - 1. Let n(a) = -3*a**2 - 8*a + 8. Determine n(m) + 6*s(m).\nAnswer: 3*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 - 89*i**2 - 3263*i - 1525. Give d(117).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15077 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 1\/25, -2\/23, -2 in decreasing order.\nAnswer: 1\/5, 1\/25, -2\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 2*g**2 + 6*g - 1. Determine b(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.263 - 0.163. Does p = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/2926 and -62\/33.\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g + 59936 = 58336 for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5539 and 3056.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -h + 7*h - 11, 14 + 0 = -h + 3*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 6. Let k(n) = -n**2 - 5*n + 8. Let t be k(g). Suppose -5*i - 6 = t*m - 199, -2*m = -2*i + 80. What is the remainder when i is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of 8*k**3\/3 + 7*k**2 + 6*k - 176. Let l be d(-3). Let z(v) = -1 - 1 + 3. Let b(c) = 2*c + 18. Give l*z(u) - 2*b(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-1) - (-11 + 11). Suppose 2*o + 24 - 78 = w. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -471.\nAnswer: 7\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*q = 24, -c + q = -3*q - 3. Suppose 2*a = 10, 30 = 2*h + 3*a + c. Let r = 0.7 - -0.3. What is the closest to r in h, -0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 195355 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r. Let g = -61 + 39. Let d(l) = 10*l. Let i(b) = g*q(b) + 2*d(b). Let f(x) = -12*x. Give i(f(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 2, 1.627 in decreasing order.\nAnswer: 38, 2, 1.627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-5)\/3)\/((-52)\/(-39)))\/((-6)\/46776) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -22 (b) -5 (c) -1\/223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - d**2 + 3*d + 2. Let f be (1\/2)\/(5\/(-20)). Let k be p(f). Let r = -21 + 21. What is the nearest to -1 in 1, k, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*t + 45*t - 367*t - 242*t - 551*t to j*t + o and give j.\nAnswer: -1142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*a - 382*a + 43*a to l + c*a and give c.\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 71325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70425, 281799, 634129, 1127415?\n\"Answer: 70478*h**2 - 60*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-63*8\/(-28) - 20)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, g: 2}. What is prob of picking 2 g and 2 h?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 31 + 32 + 8*r**3.\nAnswer: 8*r**3 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**2 - 5*v - 5. Suppose 6 - 2 = 2*y - 4*p, 2*p = 5*y - 26. Let q be 9\/y*4\/3. Let b(k) = -5*k + 6 + 7*k + 4*k**q + 4*k. Calculate 5*b(z) + 6*t(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*m - 4, 2*m - d = -4 - 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 5*g - 2*i + 9, -3*g + 2*i = 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176199716?\nAnswer: 2, 7, 11, 131, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4258 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7144 is divided by 338.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -10)*1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/15379 and 33\/905164?\nAnswer: 6336148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -10. Solve -3*l = -l + p*u - 5, -5*l + 5 = 5*u for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1347 minus 1.37?\nAnswer: -1348.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6493 and 12599.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 76*g**2 - 1496*g + 62. Determine b(17).\nAnswer: 1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 5 (b) 1 (c) 3\/2 (d) 1\/182\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -187 + -79?\nAnswer: -266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(567) + 1*(sqrt(567) + -1) + -2))**2 + 1.\nAnswer: -3888*sqrt(7) + 81973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q + 2. Let o(c) = 2*c - 1. Let s = -59 - -57. Let m be (-2)\/(s - (-24)\/18). Give m*n(h) + 4*o(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ypppybbpfyfffyb. Give prob of picking 2 b and 1 y.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6314086943 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 3*y + 3*y - y**2 + 4*y**2 - 5*y**2 + (-460*y - 6655 + 6655)*(-y - y + y))*(-y - 3*y + 2*y).\nAnswer: -912*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3\/7 - 36*z**2\/7 - 123*z\/7 - 18.\nAnswer: -3*(z + 2)*(z + 3)*(z + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggiio. What is prob of picking 2 i and 1 o?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 57950003 to the power of 1\/2, to the nearest integer?\nAnswer: 7612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 12*f**2 + 276*f + 10. Calculate n(-23).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-438)\/511)\/((-30)\/14).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 6, 12, 20, 30, 42?\n\"Answer: t**2 + 3*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781753.\nAnswer: 7, 29, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 0.1 (b) -1\/3 (c) 31\/3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -12*c + 28*c - 15 - 17*c + c**2 - 21*c. Let z be d(26). Round z to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1214456662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*n**4 - 19*a**2*n**2 - 2*a*n**4 - 3*a*n**2 - 2*n**3 - 2*n**2 wrt n?\nAnswer: 24*a**2*n - 48*a*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 117, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, i: 5, m: 1, j: 4, d: 5}. What is prob of picking 1 m and 1 o?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 5*z - 14637, 5*r - 2766 = -4*z + 15528. List the prime factors of r.\nAnswer: 2, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*h**3*j**2 + 667*h**3 - 16124*h**2*j**3 + 100*h**2 - 2 wrt j?\nAnswer: -28*h**3*j - 48372*h**2*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*a - 3 = 78*a + 79*a - 4*n + 1, n + 3 = 0 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*f - 16 = 0, v + 2*f = -4 - 4. What is the fourth biggest value in 3, v, 0.5, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 780057 is divided by 23638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 4*f**2 - 15*f + 10. Let w be x(8). Let l = 162 - w. Solve -22*d - l = -18*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1343 + 8451 = -3*f + 121*f. Let s be (-181)\/4 - 2\/(-8). Let n = s + f. List the prime factors of n.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3*n**3 - 5 + n**3 + 9*n**3. Let t = -3 - -8. Let l(h) = -h - 4. Let q be l(4). Let f(z) = 11*z**3 - 8. Determine q*u(g) + t*f(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30.399884 - 23.0998977. Let b = p + -7.3. What is b rounded to 6 dps?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.15 - 0.1. Let f = -1.465 + -0.535. Put -0.4, i, f in ascending order.\nAnswer: f, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6903 divided by -61?\nAnswer: -6903\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175, 169, 153, 121, 67, -15?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1607 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2136222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 74 + -95 + (-3 - (3 - 2))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 1\/3 (c) -594 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**(-7)*g)*g)\/g**(-10\/9))\/(g**8\/((g**(1\/19)\/g*g)\/g)) assuming g is positive.\nAnswer: g**(28\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**5\/45 + 394*v**4\/9 + 310472*v**3\/9 + 122325968*v**2\/9 + 21*v + 16. Factor b(t).\nAnswer: 4*(t + 394)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -408, -1639, -4106, -8217?\nAnswer: -14380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-1)*(2 - 4). Suppose 5*g = -2*z + 747, 4*g - 775 + 151 = 5*z. Let s be 6\/4*2 + 0 + g. Calculate the highest common divisor of s and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/19 (b) 3\/581 (c) 5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of 25\/12*w**4 - 15*w**2 + 0 + 0*w**3 + 24*w. Differentiate z(v) wrt v.\nAnswer: 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2034044 by -9874.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -52 times 682\nAnswer: -35464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 - 6*p**3 + 19*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1275*n**2 + 2*n + 8. Suppose 0 = a + 1 + 4, 3*v = 3*a + 3. Let h be x(v). Round h to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 919541667*w - 769409462.\nAnswer: 919541667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 177*m**3\/8 + 2973*m**2 - 287007*m\/2 - 53922 = 0.\nAnswer: -172, -22\/59, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 894086*v**3 + 546492?\nAnswer: 2682258*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1055251013 + -1055250510.000237. Let n = 700 - 197. Let l = y - n. What is l rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f + 10. Let j(v) = 15*v - 21. Let c(g) = -2*j(g) - 5*m(g). Let y(t) = 9*t - 15. Let n = 256 - 245. Calculate n*c(p) - 6*y(p).\nAnswer: p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9414784 centuries in decades?\nAnswer: 9.414784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, 0, -98 in descending order.\nAnswer: 12, 0, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, y: 7}. Give prob of sequence yjj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -593.5784 * -0.3\nAnswer: 178.07352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-10)\/(-8)*(-320760)\/218700.\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 296*l*z**3 + 4885*l + 4*z**3 - 2*z**2 - 187600*z - 2 wrt l?\nAnswer: 296*z**3 + 4885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 10*u + 96 = -5*p - 0*p, 0 = -4*p - 2*u - 20 - 36 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 73.5675 to one dp.\nAnswer: 73.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 261487 at most 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (497 + 415 - 274)*(-3*y**5 - 5*y**3 + 5*y**3).\nAnswer: -1914*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 113*p - 55*p - 59*p. Let w(f) = -29*f. Determine w(d(l)).\nAnswer: 29*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/46*(-2)\/(-6)*42\/(-28).\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by -72?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 25. Let w = 7.1 + p. Which is the third smallest value? (a) w (b) -0.6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2458*k + 8601. What is the remainder when y(-3) is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**3 - 13*j - 14. Let f be k(-1). Is (-18 + 19)\/(((-3)\/8467)\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 20 = -5*w, -2*p + 42*w = 43*w - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15995)\/350 + 46)\/(12\/10) + (-134)\/(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 - 29. Let n(y) = -2*y**2 + 30*y + 3. Let j be n(14). Suppose -j*b = 108 - 449. Calculate the highest common factor of i and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 29*p**2 - 26*p + 83. Suppose d + t - 25 = 0, -5*t = -18*d + 13*d + 135. List the prime factors of n(d).\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 22*x - 3. Let z(t) = -43*t + 5. Let n(r) = 11*i(r) + 6*z(r). What is the derivative of n(p) wrt p?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*x + 2*g + 20 = 0, 0 = 2*x - 3*g - 19. Suppose 0 = -q + 3 + x. Suppose -w + 0*w**q + 0*w**4 - 2*w**2 + 2*w**4 + w**5 = 0. What is w?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1905666637 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16340 + -22165?\nAnswer: -2525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 29*g + 28. Let j(h) = 30*h + 27. Let a(p) = -2*j(p) + 3*u(p). Solve a(m) = 0 for m.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 324 and 405?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32 + -1701582958.\nAnswer: -1701582990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-2))\/((-14)\/882*9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2028)\/(-1638) - 12\/21.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 9a14b?\nAnswer: -9a14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 478127585 by 1.\nAnswer: 478127585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 i when three letters picked without replacement from {k: 1, i: 2, g: 2, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*q + 66*q**2 - 1304*q**3 - 1207*q**3 + 2637*q**3 wrt q?\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12117636*o**5 + 89*o - 1673 wrt o?\nAnswer: -242352720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464944?\nAnswer: 2, 29059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -6*n**2. Let o(s) = -s + 5. Let k = -44 + 96. Let j = k + -28. Let q(w) = -4*w + 24. Let r(x) = j*o(x) - 5*q(x). Give u(r(v)).\nAnswer: -96*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 43455, 43464, 43483, 43518, 43575, 43660, 43779?\n\"Answer: g**3 - g**2 + 5*g + 43450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1634775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 - -0.69. Let t = 0.102 + 0.314. Let y = t - 0.016. Which is the smallest value? (a) p (b) y (c) -5\/3 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 11111000000?\nAnswer: -11111000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w + 1. Let n(m) = -4*m. Let h(g) = -5*d(g) - 4*n(g). Let i be h(-16). Let f = i - -31. Calculate the highest common factor of f and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 1. Let m(z) = -2*z**3 - 5*z**2 + 3*z - 2. Let r be m(-3). Let n be 1\/4 + (-546)\/(-56). Let c(x) = -x**2 - 4*x + 5. What is n*t(y) + r*c(y)?\nAnswer: 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(12\/2))\/((-15*10\/350)\/36).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, w: 2, l: 8, j: 2}. What is prob of picking 2 j and 1 z?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 258060 and 353947?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2. Let k = 1 - 1. Let y(q) = -6 + 0 + 6*q + 3*q**2 + k. Let d(s) = -9*s**2 - 17*s + 17. Let j(i) = 6*d(i) + 17*y(i). Determine j(z(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4*5*(sqrt(147) + sqrt(147) + -1 + 2))**2.\nAnswer: 12320*sqrt(3) + 235684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/25))**(2\/145) assuming w is positive.\nAnswer: w**(4\/3625)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(((-9)\/(-9))\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3503682409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -716, -417, 182, 1165, 2616?\n\"Answer: 14*r**3 + 66*r**2 + 3*r - 799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 199 = -3*y - 3*u, 0 = 3*y + 2*u - 291. Calculate the least common multiple of y and 30.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*48\/(-1600)*1472\/24)\/(6\/(-30)).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 74\/45 + 368\/(-828). Factor 0*b**2 - 3\/5*b**4 - d*b + 6\/5*b**3 + 3\/5.\nAnswer: -3*(b - 1)**3*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -11*c**8\/336 + c**6\/12 + 81*c**5\/10 - c**2 - 38*c. What is the third derivative of v(h) wrt h?\nAnswer: -660*h**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 8 - 8)*(63*y**2 + 50*y**2 - 8*y**2 + (-y**2 + y**2 - y**2)*(-1 + 5 - 2)).\nAnswer: -206*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1. Let b(o) = 0 - 3 + 13*o**2 - 2 + 2*o**2. Let t(h) = -4*b(h) - 20*n(h). Let d(v) = -v. What is d(t(k))?\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 3*h + 6. What is the units digit of z(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81.36298*-0.77.\nAnswer: -62.6494946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3870 and 757350.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47275, 47083, 46889, 46693?\nAnswer: 46495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 16. Let d be (m\/(-7))\/(12\/(-168)). Factor 13*j**d - 14*j**3 + 2*j**2 - 6*j**2 - 2*j**4 + 7*j**4.\nAnswer: 2*j**2*(j - 1)*(9*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 11*q**2. Let c(s) = 7*s**2. Let d(i) = -7*i**2. Let h(m) = 7*c(m) + 6*d(m). Let x be 1\/(3\/(-30)*2). Let v = 7 - -1. Calculate v*h(b) + x*u(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118324, -118325, -118326, -118327?\nAnswer: -118328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 72 = -44. What is the third derivative of l**4 + d*l**3 + 16*l**2 - 8*l**2 + 10*l**2 - 7*l**4 wrt l?\nAnswer: -144*l + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u - 4 + 7 - 7)*(5*u - 3 + 2*u - 2*u**2 - u) as b*u + t*u**3 + d + k*u**2 and give b.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 77 + -74 + -8 + 1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3858579795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6774 - 3299. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4779 is divided by 719?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + i = -0 - 1, -3*i + 3 = 3*r. Let q be r\/3 - (-190)\/30. Suppose 5*m = -4*o + 28, -2*o = -q*o - 4*m + 32. Is 7 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 16*x**3\/3 + x**2\/2 + 3. Let w be p(1). Suppose 0 = 13*v - w*v + 280. Calculate the highest common divisor of 10 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.51 and -1217.\nAnswer: 18875.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.62 + 3.62. What is the biggest value in -12, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from yjyjyjjyyyyyyy.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 9 (b) -3 (c) -0.284\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 122, 632 in decreasing order.\nAnswer: 632, 122, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + ((sqrt(21)*-1)\/sqrt(3))**2 - (-1 + sqrt(7) + 4) - (1 + (0 + sqrt(567) - sqrt(567))).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456335567?\nAnswer: 456335567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (48\/(-648))\/(2\/(-6)). What is the second smallest value in 1.9, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 30*j**2 + 30*j + 46. Calculate t(-29).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0 = 1, -3*o + 278 = 2*x. Let i(u) = -u**3 + 6*u**2 - 3*u + 2. Calculate the lowest common multiple of i(3) and o.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131760 divided by -305.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + j + 9, 7*k + 39*j - 39 = 40*j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -6 (b) -3 (c) 2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - 0) + -6 - -3 - (-1 - 4)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2*v - 4)*(-5 + 0 + 1)*(-5*v + 1 - 1) to the form j + s*v + q*v**2 and give q.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -70*j - 51 - 28 + 6 wrt j.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 525505, 2102088, 4729727, 8408422, 13138173, 18918980, 25750843?\nAnswer: 33633762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 7*a**2 - a + 1. Let c be f(-7). Let p be (-4 + 28\/c)*-4. Solve 0*u - 8 = -p*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 225\/4 - 5\/4*u**2 - 15*u.\nAnswer: -5*(u - 3)*(u + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 2*m = -0*u + 2, -m + 1 = -u. Suppose -5*r + 2*k = 1 - 11, -k = 2*r - 4. Let v(h) = 4 + r*h - 4 + u*h. Let p(c) = 2*c**2. Calculate v(p(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 200404 - 13511. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/((-80)\/(-30)))\/(2\/4). Sort 0, 0.4, k, -2\/3 in descending order.\nAnswer: 0.4, 0, -2\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127 - 115. Calculate the greatest common divisor of s and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -10 - 0. Let p be 1 + 0 - (s - -1). Does 3 divide (-1)\/(p*(-1)\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 9 = 4*c - z, 4*z = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/2460 and 91\/270?\nAnswer: 22140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-8\/11)\/u**10 assuming u is positive.\nAnswer: u**(-118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1954570.7 rounded to the nearest 1000?\nAnswer: 1955000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 18*n**3 - 4*n**2 + n + 6. Calculate the remainder when 279 is divided by f(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.112 + 0.112. Is 0.3 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3905910 is divided by 3905557.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 4)*(0 - 11 + 1)*(-7*f**2 + 2*f**2 - 4*f**2).\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 25 = n, -4*y + 21 = n. Let h = -47\/249 + 1391\/4731. What is the second smallest value in -0.1, 13, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-35)\/5 + 12. Let l = 14 - 11. Factor 302*x**l - 104*x**3 - b - 31*x**4 - 157*x**2 + 2 - 50*x**4 + 44*x.\nAnswer: -(x - 1)**2*(9*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22331301231 (base 4) to base 2.\nAnswer: -1010111101110001101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 3960?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -93 (base 10) to base 5\nAnswer: -333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 72*h**2 - 35*h**3 + 43*h**3 - 10*h**3 + 2*h in the form k*h + w*h**2 + p*h**3 + n and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24\/51079 + -1887883\/4341715. Calculate the common denominator of c and (-107)\/(33\/(-1) + -1).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/60 - 13*q**4\/8 + 27*q**3\/2 + 40*q**2 - q. Let k be j(-41). Which is smaller: -3\/218 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 1)\/(6\/(-8)). Let p = -16 + 11. Let r be 1\/(-2)*(p + 5). Solve z = w - r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19971?\nAnswer: 3, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*d**2 - 20*d**3 + 379*d**2 + 56*d**3.\nAnswer: 36*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1 + 0 + 2 + sqrt(612) + -1*sqrt(612) + -1 + 4 + -1*sqrt(612))**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 49*s. Let i(h) be the first derivative of h**2\/2 + 57. Determine i(j(u)).\nAnswer: 49*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) + -5*39\/27. Let p be 8\/(((-5)\/4)\/5). Let d = p - -23. Is d at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1012 divided by 7.\nAnswer: 1012\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, q: 2, s: 1, a: 1}. Give prob of sequence sa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.891 + -6.891. Which is the smallest value? (a) 5 (b) 21 (c) -0.2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from {x: 8, v: 8, o: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -4 - 2 - i**2 - 5*i + 0*i**2 - 2. Let a be j(-6). Is (-4)\/a + (-6226)\/(-14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17013709 to the power of 1\/2, to the nearest integer?\nAnswer: 4125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 736 and 4096.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(-12\/13)*(i**(3\/2))**(-33) assuming i is positive.\nAnswer: i**(-1239\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 3:41 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2098385136?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -245ad + -650?\nAnswer: -24c0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than 9703738?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*y**(2\/19)*y))*y**(2\/11)\/y)**(-2\/7) assuming y is positive.\nAnswer: y**(-956\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 7:14 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5210 (b) -0.8 (c) 1952\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-8)*(-84)\/1260\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mop when three letters picked without replacement from mmvamokvpvmvkkk.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 smaller than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1707*y + 1829*y + 1301*y - 1738*y to v*y + p and give v.\nAnswer: 3099","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**3 - 6*k**3 + 0*k**3 - 1 - 5*k**2 - 5 - k**2. Let d(u) = 15*u**2 - 2*u - 2. Let c be d(-1). Suppose -2*n + 3 = c. Calculate y(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652369.\nAnswer: 652369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + (-2)\/(-1))\/(-1). Let c be ((-8)\/t)\/((-2)\/3). Suppose 4 + 20 = c*a. Calculate the remainder when 34 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29025534 + -29025533.85000009. Let r = 0.7 + -0.55. Let u = r - a. What is u rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-173 + -133)*(-9)\/(-54)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Let y(k) = -1. Let d be (-2 + 1 + 1)*(-4)\/(-8). Suppose 2*v - 12 + 4 = d. Let z(u) = 3*u**2 + u + 2. What is v*y(t) + z(t)?\nAnswer: 3*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 12323556?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -0.68 (c) -118 (d) -5 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 297 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6872369, -13744727, -20617085, -27489443, -34361801?\nAnswer: -41234159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199417520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/5, -68, 1, -2\/17 in decreasing order.\nAnswer: 1, 0, -2\/17, -2\/5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172681086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*b - 277*b + 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one tenth of a kilogram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrarqjgj. What is prob of picking 1 n and 1 a?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-3)\/9*(-63)\/273\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00791827 to five decimal places.\nAnswer: -0.00792","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6831762 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*l - 2*l + 518, -5*t + 652 = 4*l. Solve -35*x + t = -13*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -483b06 (base 12) to base 16\nAnswer: -11d276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-18)\/(-4) - 1\/2. Suppose -25482*s + 25437*s + 585 = 0. Sort -3, s, 0, x in ascending order.\nAnswer: -3, 0, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53 + -32. Suppose -3*k + w = -36. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 50 + -71. Let p = -12 - u. Suppose 5*r + 7 = 3*h, -5*r - 2*h + 0*h + 13 = 0. Solve -p = -2*l - r for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/4)*b*b**(1\/4))**(1\/10))**(-22) assuming b is positive.\nAnswer: b**(-33\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14353 is divided by 67?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 + 80 = -5*w - 2*z, 0 = 5*z - 222 + 212 for w.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*p + 201*p + 3 = 0. Let n be (-16)\/(-42) + (-3)\/((-105)\/10). Determine s, given that 2\/3*s**p - 1\/6 - s**2 - 1\/6*s**4 + n*s = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8790 is divided by 1592.\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 593999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggggggggggiggg. What is prob of sequence gg?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 y when two letters picked without replacement from ufjiy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -1 in increasing order.\nAnswer: -6, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 u, and 1 i when three letters picked without replacement from uqwbqiwbibbqqbbbbqqq.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 213*a**2 - 86*a**2 + 4*a + 210*a**2.\nAnswer: -89*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*w - 32. Suppose y - 13 = -3. Is (-2)\/y + w\/10 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - (-24)\/(-4))*(-62)\/186. Which is the closest to 6? (a) -0.1 (b) -45\/4 (c) u (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s + 3*s + 10 - 5*s + 8*s.\nAnswer: 5*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n + 116 = -3*g, 5*g - 4*n = -180. Let x = g + 47. Let a = x + -9. Calculate the remainder when 22 is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8915076, -8915075, -8915074?\n\"Answer: s - 8915077","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -318 - -318. Let w(p) be the third derivative of 0 + j*p + 2\/21*p**3 - 5*p**2 - 1\/210*p**5 + 1\/84*p**4. Factor w(g).\nAnswer: -2*(g - 2)*(g + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 32 = 4*p, -2*p = -2*w - 3*p - 13. Let h(i) = 3*i**2 - 10*i + 8. Let d(v) = -5*v**2 + 15*v - 12. Let z(a) = -5*d(a) - 8*h(a). Determine z(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 3*k**2 - 4*k + 2. Let l = -251 + 254. What is x(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 15. Suppose s = -2*w - w + 102. Suppose -2*c - w = -2*k, 2*c + 2 + 0 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**5\/90 - p**4\/18 + 16*p**3\/3 - 1113*p**2. Find d such that s(d) = 0.\nAnswer: -8, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -793 - -793. Solve r = -s - 5*s - 30 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.22 + -6. Let u = -0.72 + l. Let f = -7.03 - -0.03. Put u, f, -0.2 in descending order.\nAnswer: -0.2, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.8394 + -0.5394. Which is the closest to -2? (a) -1\/3 (b) 7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -311153 (base 7) to base 12\nAnswer: -26998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -85686 + 306215. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 257, 274, 291, 308, 325, 342?\n\"Answer: 17*f + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*b - 41515, 99*w - 97*w = -4*b + 55370. What are the prime factors of b?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5\/((i\/(i**(-17)\/i))\/i)*i**11\/(i**(-4)\/i))**3 assuming i is positive.\nAnswer: i**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = 6*u + 3*z, 3*z - 1695 = -1695 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.84 - 0.16. Let r = 5.9 + d. Which is the third smallest value? (a) -4\/3 (b) -0.4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*z - 10*z. Which is greater: -13\/148 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125*s**2 - 5195*s - 121*s**2 - 1 + 5195*s.\nAnswer: 4*s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.0009 - 0.1009. Put y, -3, -0.3, -10 in decreasing order.\nAnswer: y, -0.3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7402434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -59. Let r be (-4)\/(-20) - 3\/y. Which is the third smallest value? (a) r (b) 2\/17 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1104\/1440)\/((-107)\/3210).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/27*(-6)\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/7 + 272460*l\/7 - 58214848\/7 = 0.\nAnswer: 214, 136016","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**5 - 20*u**4 + 69*u**3 + 202*u**2 + 112*u = 0.\nAnswer: -1, 0, 8, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 165, 677, 1539, 2757, 4337, 6285, 8607, 11309?\n\"Answer: z**3 + 169*z**2 - 2*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2113)\/(-177)*1\/24 - 8684\/19539 and -3\/16.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 5*u - 16 = 0, 0 = 3*h - 7*h + 3*u - 2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 3 + -1 + -1. Let c = 286 - 282. Sort 2, r, c in ascending order.\nAnswer: r, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 90 - 174 = 0. Suppose 3*v - 5 = 3*q + 4, 4*q = -5*v + m. Solve -2*p - i = 3*i - 10, q*p - 3 = 3*i for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5738581 and 5738626 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5141367 and 3762?\nAnswer: 195371946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hww when three letters picked without replacement from {w: 4, h: 7}?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 2:43 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/55, 1\/204, 0.1, -0.4?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14822, 29650, 44480, 59312?\nAnswer: 74146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 56 + -25. Let a = 37 - c. Suppose a = -x + 71. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 17. Let c(p) = -4*p + 61. Let z(s) = 3*b(s) - c(s). Suppose 4*o - 41 = 7. Determine z(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*y**2 - 108*y**2 + 49*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8267 + 66229\/8. Let s = n - 1751\/152. Let z = 8 + -4. What is the biggest value in z, s, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.08 + -7. Let w = m - 0.08. Let l = 25 - 77\/3. What is the nearest to w in -1\/2, l, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52000383 by -1.\nAnswer: 52000383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038959891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -47224*j**2. Let h(o) = 1516*o**2. Calculate h(u(d)).\nAnswer: 3380840962816*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22111*s - 22000*s - 4218 for s.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 12*x + 2 - x - x**3 + 12*x**2 + 2*x**3 + 1. Let f be m(-11). Solve -2*j - 2 = f*d - 0, -3*j - 2*d = 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2 - 24*t - 26. Let b be q(-11). Let r be (-1)\/b - 1\/4. Which is greater: r or 1\/21?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 2*w**3 + 0*w)*((-3 - 3 + 4)*(-4*w - 2*w + 5*w) - 169 + 20*w + 169) in the form b*w**2 + l*w + j*w**4 + z*w**3 + y and give j.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241 = -3*d - 2*d - 4*k, -k = -3*d + 148. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5311?\nAnswer: 47, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 9:10 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 904223873 is divided by 125.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 4*k - 1, -6*v = -2*v + k - 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148377 is divided by 16436.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 8:32 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1116 divided by 38\nAnswer: 558\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -439*u**2 - 4*u. Let q(p) = p. Determine h(q(y)).\nAnswer: -439*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 206082, 412099, 618116, 824133, 1030150?\n\"Answer: 206017*h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*r + 40, -2*i + 42 = 5*r - 22. Let n = 37 - -37. Let y = -72 + n. Solve t + y*t + r = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-2) - (2\/1 - 0). Suppose -3*k + o*k = 120340. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*i**5 - 189*i**2 wrt i.\nAnswer: 8340*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45711*l**2 + 17721 with respect to l.\nAnswer: -91422*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 76*(-93)\/8370*(-18)\/2?\nAnswer: 38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 10363\/3 and 3455 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2285 - 7?\nAnswer: -228c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.7 and -0.265.\nAnswer: 2.0405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -8 - -14*(-497)\/21*-3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 20965276*c + 41930536.\nAnswer: 4*(c - 5241317)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -263, -326, -343, -320?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**5\/9 + 1822*u**4\/3 + 3704398*u**3\/9 - 41417914*u**2\/9 - 411600*u + 41412448\/9 = 0.\nAnswer: -1372, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 16*i**2 - 4*i + 7. Let y be b(16). Let f = y + 11. Let l = f - -137\/3. Is l at most 2.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b6 - 0?\nAnswer: 3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*4*sqrt(68)*5*-3)\/(((4*sqrt(576) - sqrt(576)) + sqrt(576))*-1*6).\nAnswer: -5*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -5*a - 1. Let c be g(-4). Let u be (-1)\/(-2)*-4 - (-173)\/1. What is the highest common factor of u and c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 377174294 by -2656157.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5713?\nAnswer: 29, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2436\/(-7320) + (-96)\/(-2928)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18820 and 39608572.\nAnswer: 198042860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 not equal to -32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -12\/2263 (c) 13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 5 - 0. Suppose 2*m + 45 - 145 = 0. Suppose -2*k + 4*k = m. What is the highest common factor of t and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -28*h**3 + 35*h**2. Let v(y) = -11*y + 78. Let g be v(6). Suppose g = -7*d + 40. Let f(m) = -3*m**3 + 4*m**2. Determine d*k(w) - 35*f(w).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**4\/4 + 22*f**3\/3 - 2*f**2. Does 4 divide z(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -567*u**3 + 12*u**2 - 3*u + 509. Let o(s) = 4*s**2 - s + 3. Let k(r) = l(r) - 3*o(r). Differentiate k(w) with respect to w.\nAnswer: -1701*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 3*q**2 - 4*q + 5. Let c be z(4). Suppose 0*v - 4*u = -v + 25, 2*u + 20 = 2*v. Suppose 0*j - c*j + 860 = v*w, -25 = 5*j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163854133 by -4.\nAnswer: -163854133\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:26 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1803946 = -61*k - 1798639 for k.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0894 - 427.9106. Let q = n + 427.999164. What is q rounded to 4 dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 49305 and 6202170.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*b = -3*m + 14*b - 4, -m - 5*b = 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 7, z: 6}. What is prob of picking 1 w and 2 z?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28618 - 11373. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*((-21)\/7112)\/(3*1). Which is greater: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 10162, -2, -34 in descending order.\nAnswer: 10162, 4, 0, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*104\/6 + -183 + 180.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -27 - 71?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7\/86 - -2787\/430. Calculate the common denominator of (-4)\/(-14) + 1448\/(-1540) and g.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1926 and 4.\nAnswer: 1930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4*14)\/(42\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25061 is divided by 1549.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3038900 by -5.\nAnswer: -607780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:43 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d + 6. Let c(p) = 8*p - 6. Let h(q) = -5*c(q) - 6*n(q). Let b be h(3). Suppose b = 4*x + 8 - 20. Solve 1 = -x*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 1:20 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 12:42 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4022.\nAnswer: 2, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(3 - 5) + 1. Let u be (-2 - k)\/((-2)\/(-8)). Let l be 116\/14 - u\/(-56). Calculate the highest common factor of l and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2405, -2338, -2189, -1928, -1525, -950?\n\"Answer: 5*g**3 + 11*g**2 - g - 2420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.506 - 13.506. Which is the nearest to -1? (a) -13 (b) -2\/29 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in three sevenths of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = f + 13139997, 45*f - 50*f = 2*y + 13139985. Round y to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -10) + (-3 - 1) - 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55467114 by 311613.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 67 + 13. Calculate the highest common factor of 160 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -62 (b) 4 (c) -1.3 (d) -1\/35 (e) -5 (f) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68380 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(2\/249*12\/(-40)). Let t = 910 - b. Calculate the greatest common divisor of t and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1 (c) -0.1 (d) -9638 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 92\/147 - 7951\/882. What is the common denominator of l and -95\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179 times 198400?\nAnswer: 35513600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 q when two letters picked without replacement from {w: 5, o: 1, q: 1, n: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -3*c - 4. Let x(d) = -5*d - 7. Let a(f) = 7*u(f) - 4*x(f). Let b(w) = 7*w**2 - 1. Determine a(b(l)).\nAnswer: -7*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 - -70. Suppose 0 = 4*i - q + 4. What is the second derivative of -5 + 2*b + 5 - b**i wrt b?\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 38 - 108)*(36*o - 60*o + 46*o) + 0*o + o - 2*o - 5*o + 0*o + 3*o + (-5 + 5 - 2)*(1 - 1 - 2*o).\nAnswer: -593*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmmmmb. Give prob of sequence bb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b = 88. What is the remainder when b is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000078 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 0.065, -3, 2, -1986\/11?\nAnswer: -1986\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/66125, -65, -2\/5 in decreasing order.\nAnswer: -1\/66125, -2\/5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34727443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-9)*-9*(-22)\/99.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 56*o - 160. Let z be u(3). Solve 4*m = 5*v + z, 3*m = -v + 5 - 18 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 789?\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 y when three letters picked without replacement from hhmfkyffmfdh?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**2 + k + 8. Calculate f(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 12437, 12490, 12587, 12734, 12937, 13202, 13535, 13942?\n\"Answer: w**3 + 16*w**2 - 2*w + 12422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6099, -1\/4, 4, -3, 2\/45, 1\/7 in decreasing order.\nAnswer: 6099, 4, 1\/7, 2\/45, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 - -204. Solve 3*m = s - 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-27)*15\/(-20).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrmr when four letters picked without replacement from mmrmrrm.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -23620820 divided by 170\nAnswer: -138946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1166228 divided by -1\nAnswer: 1166228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 2*s**3 + 1 - 4*s**3)*(2*s + 0*s - 4*s)*(-7 - 1 + 24).\nAnswer: 64*s**4 - 32*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 3)*(-1)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-80)\/(-120))\/(2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -198\/7*o - 6*o**2 - 2\/7*o**3 + 242\/7.\nAnswer: -2*(o - 1)*(o + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11031 + 11028. Let z = -0.02 - -0.42. What is the second smallest value in 6\/5, z, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*j**4\/5 + 4842*j**3\/5 + 71821*j**2\/5 - 3228*j + 180 = 0.\nAnswer: -30, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/3 - 115348*j**3\/3 - 554343256*j**2 + 3327443792*j\/3 + 13306083904\/3 = 0. What is j?\nAnswer: -28838, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2. Let h(p) = -p**2 + 2*p. Let g(i) = 3*i**2 - 5*i. Suppose 2*y + 7 = 3*y + 2*a, -4*y = 4*a - 24. Let x(m) = y*h(m) + 2*g(m). Give s(x(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2786714 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1026 - -2785. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2396 by -5.\nAnswer: 2396\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10890013?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + g = 1184, -4*h + 1389 = 5*g - 186. Suppose 15*r - 2282 = -6407. Let b = h + r. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-15))\/(o\/(o*o**18))*(o*o\/((o\/o**(-1\/11))\/o))**(1\/23) assuming o is positive.\nAnswer: o**(1286\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 5*x**2 - 2*x - 5. Let q(y) be the first derivative of -5*y**4\/4 - 11*y**3\/3 - 2*y**2 - 11*y + 5316. Calculate -7*d(c) + 3*q(c).\nAnswer: -c**3 + 2*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318799 and 5044?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -62*w**2. Let q(a) = 6*a + 7. Let v(f) = -21*f - 49. Let l(z) = 7*q(z) + v(z). Determine s(l(p)).\nAnswer: -27342*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4512 + -3981.2. What is m rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 423 - 419. Factor 4\/3*i**2 + 2\/3*i**5 - 2\/3*i**b + 2\/3*i - 4\/3*i**3 - 2\/3.\nAnswer: 2*(i - 1)**3*(i + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -4*m**3\/3 + 2*m**2 - 8*m. Determine n(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*g - 26 - 9. Suppose 0 = -g*b - 17 + 7. Let a(i) be the second derivative of i**4\/12 + i**3\/2 + i**2\/2 + i. What is a(b)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqy when three letters picked without replacement from {y: 18, q: 2}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2858037 divided by -87?\nAnswer: 32851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2542832249 to the nearest integer?\nAnswer: 1365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 0.1, -64.2 in ascending order.\nAnswer: -64.2, -2, 0, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 - 22. Calculate the remainder when n(7) is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 42 = 3*x. Let a = x - -111. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 3*c - 12. Let i be (9\/(-6))\/(252\/80 + -3). Let h be -4*(i\/(-5) - 4). What is u(h)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 155 = -64*a + 69*a, 5*a - 3*y + 165 = 0 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 2 + 4 - 2*p)*(-p - 3*p + 3*p + 1 - 1 - 2*p - 3*p + 0*p - 2*p + (1 + 1 - 1)*(0*p - p + 0*p)).\nAnswer: 18*p**2 - 108*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l - 8*l - 16*l = 432 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + q + 3 = 0, -2*q - 22 = 2*z + 3*q - 63 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 23+12109.441977\nAnswer: 12132.441977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14620201 (base 7) to base 3\nAnswer: 2122010021111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -175 less than -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l**2 - 3*l**2 - 4*l**2 - 3 to t + f*l + w*l**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 4*c - 13*c - 2 + 8*c - 63*c**3 to the form g*c + t + k*c**2 + b*c**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 295, -5, 0 in descending order.\nAnswer: 295, 22, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5595 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -92 + (1 - -27 - -20).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 1. Let x = 1660\/7 - 236. Let x*n**v + 60\/7*n**3 + 0 + 10\/7*n**5 + 46\/7*n**4 - 16\/7*n = 0. What is n?\nAnswer: -2, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6*(-4 + (-20)\/(-4)). Solve -t - g = -10 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71012*b + 4*u + 25 = -71009*b, 100*u + 700 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5\/9 + 64*z**4\/9 + 128*z**3\/9 - 10240*z**2\/9 - 32768*z\/9 + 524288\/9.\nAnswer: 2*(z - 8)**2*(z + 16)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + (-3 + 1)\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6368, -14041, -21714, -29387, -37060, -44733?\n\"Answer: -7673*b + 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2\/5 - 28473549*n - 35591936\/5.\nAnswer: -(n + 35591936)*(4*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25005368 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1670 + -1666. Solve 0 = 5*z + 5*m + 10, -2*m - 2 = x*z - m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/((-23)\/((-8165)\/497)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 3*r, 218*n - 217*n = -5*r + 19 + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 3, 2.43, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33352 - 2?\nAnswer: 33350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*sqrt(6)\/(sqrt(3) - sqrt(75))*-4.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42028 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 8:20 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 38*z - 12. Is q(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.4 - -0.8. Let k = -0.6 + -0.4. What is the closest to k in -4, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 146563256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 + 44. Let y(o) = 15*o**3 - 3*o + 15. Let g(i) = -136*i**3 + 28*i - 136. Let m(r) = s*y(r) + 3*g(r). Differentiate m(w) with respect to w.\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 475821, 475830, 475839, 475848, 475857?\nAnswer: 475866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 6*a + 4. Let c be y(-3). Let i(r) = 2*r**3 + 8*r**2 - 20*r + 12. Is i(c) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1817009 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45869.\nAnswer: 45869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-263553)\/(-36) - (-4)\/16. Let t = g + -7341. Calculate the common denominator of 36\/11 and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j + 0*j + 1 + 6*j - 16*j. Let n(y) = -14*y**3 + 4*y - 146. Let d(l) = -n(l) + 3*w(l). Differentiate d(r) wrt r.\nAnswer: 42*r**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/4*84\/10. Let w = b - 25. What is the remainder when 30 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -6 (c) 35\/18 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + -2*sqrt(156))*-6)\/(sqrt(12) + sqrt(12)*2*-1).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 6:04 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5577*q**4 + 6*q**3 - 1250*q**2 - 91900516*q.\nAnswer: -66924*q**2 + 36*q - 2500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-52) + 17630\/122980. Find t, given that 0*t - 8\/11 + w*t**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43235 divided by -5?\nAnswer: -8647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j + 11. Let v be q(-2). Suppose 31 = -3*p + 4*x, -7*p - 2*x = -9*p - 18. Put p, v, 19 in decreasing order.\nAnswer: 19, v, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -94.00000214 - -94. What is t rounded to 7 decimal places?\nAnswer: -0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -3*f**2 - 15 - 1\/30*f**5 + 0*f**3 - 11\/12*f**4 + 0*f. Suppose a(y) = 0. What is y?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/92 and 103\/194170278?\nAnswer: 388340556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*h + 405*h - 175*h**2 - 134*h + 710*h**2.\nAnswer: 535*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 4*c - 20, -2*a + a = -4*c - 20. Let v = -361 - -2519\/7. Is v at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 27. Let v be c(10). Suppose -4*m - 4*u = 4, m + v*u - 1 = -12. Suppose -2*s + w = -0*s - 122, 0 = -w + m. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/7*(-770)\/88\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**4\/24 - u**3 + 5*u**2. Suppose -5*i + 34 = 4. Let m(x) = 1. Let v(y) = i*m(y) + k(y). Let l(a) = -2*a. Calculate l(v(n)).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1830 = -81*b + 4164. Calculate the remainder when 597 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22736132 divided by -22736132\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220213122313 + 11?\nAnswer: -1220213122302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 11*-3*(-22)\/2 - -5. Suppose -9*c - d = -25*c. What is the greatest common factor of c and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + (-2 + 9 - 48 - -1).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4422 divided by 201\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/28)\/(((-9)\/14)\/(-3)). Let w(m) = -m**3 + 3*m**2 + 5*m - 4. Let o be w(4). Suppose o = 6*p - z*p + 34. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8.3 - -9. Let x = q + -0.5. Let g = 4 - 2. Which is the second biggest value? (a) x (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) - sqrt(81)*-4) + sqrt(9))\/((2*sqrt(6))\/sqrt(2)) - 3*sqrt(300)*2*4.\nAnswer: -233*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(27)*-5)**2.\nAnswer: 16875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 234, 399, 584, 789, 1014, 1259, 1524?\n\"Answer: 10*w**2 + 135*w + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1064 and 9082.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a + -8?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 + 78*i - 1961. What is the remainder when m(-63) is divided by 67?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.5238 times 1810\nAnswer: -2758.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zw when two letters picked without replacement from wwjhnzzh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5945\/6, -5 in increasing order.\nAnswer: -5, 2, 5945\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10.8 + 13.8. Put -0.1, -5\/8, f in increasing order.\nAnswer: -5\/8, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6552\/585*(-4)\/(-7))\/((-30)\/(-25)).\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o + 15. Let l(u) = -2*u + 13. Let w(f) = 7*i(f) - 6*l(f). Let r be w(-3). Solve -9 = -8*c - r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -4*m + 2*r, 4*m = 2*m - r + 33. Suppose 0*s + 5 = j - s, j + 4*s = m. Let v = -7 - -12. Solve -v*f - 20 = 5*o, 4 = -5*o + j*f - 4*f for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 23*l - 2*l**2 - 9 - 5*l**2 + 102*l.\nAnswer: -7*l**2 + 125*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3047\/2 or 1523?\nAnswer: 3047\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 2*k + 56 = 0, 6*k = -3*a + 128 - 32 + 57 + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of 3*t**5\/80 - 93*t**4\/16 + 330*t**3 - 7800*t**2 - 5215*t. Factor l(q).\nAnswer: 3*(q - 40)**2*(q - 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -5. Let i(v) = -v + 2*v + 6 + u. Let o be i(-7). Solve 0*q = -4*q + 2*l - 6, q - o*l = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 3*s - 12. What is the remainder when s is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*u - 8*u + 4*u)*(-3 + 1 + 1 + (-4 + 2 + 1)*(3 + 0 - 5) - 1 + 4 - 4 + 5 - 6 + 2).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3 + (5 + sqrt(1872) + -2 - (-4*1*sqrt(1872) + sqrt(1872))))**2.\nAnswer: -384*sqrt(13) + 29968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 - 9*t**2 + 30*t + 0*t**2 - 3 - 34*t.\nAnswer: -10*t**2 - 4*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 242 = 706. What is the remainder when n is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 628 + 93 = 0. Suppose 3*g - 3653 = f. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*n + 4 = 0. Let p(s) = -n + 10*s**2 + 2. Let h(z) be the third derivative of z**4\/12 - 150*z**2. What is h(p(j))?\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-16)*-63*12\/(-18)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.1 (b) -1 (c) 0.3 (d) -10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h - 13. Let d be (-3200)\/520 + ((-11)\/13 - -1). Let p be i(d). Is 10*p\/(-8)*(-6 - -78) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5163912380?\nAnswer: 2, 5, 11, 23472329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1965273 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 300724944 to the power of 1\/4, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*v - 34*v - 11*v**2)*(-2 + 1 + 0 + (3 - 2 + 0)*(1 + 0 - 2) + (3 + 1 - 2)*(4 + 2 - 4))*(-663 - 29*v**2 + 663).\nAnswer: 638*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7*b = -5*t + 81014968, 0 = 2*t + 4*b - 32406016. Round t to the nearest one hundred thousand.\nAnswer: 16200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2116581 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - ((22 - -19) + -16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/8 of a kilogram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -624 + 627. What is the least common multiple of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108339 and 82075.\nAnswer: 2708475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/221, -44, 1, -1\/5, -5 in ascending order.\nAnswer: -44, -5, -1\/5, -2\/221, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 - -4) - (-16 + 53 + -29)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/10 - c**4\/12 - 2*c**3\/3 - 2*c**2 - 22*c. Let i(u) = -4*u**3 - u**2 - 7*u - 7. Determine 7*f(m) - 4*i(m).\nAnswer: 2*m**3 - 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3554*g + 67. Let r be y(7). Suppose 3*d - r = 2*j - j, -5*j = 4*d - 33260. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -y**5 + 4*y**4 + 634*y**3 - 8212*y**2 + 32127*y - 39672 = 0?\nAnswer: -29, 3, 8, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 10*g = -8*w - 34, -8 = 2*g + 3*w. Let o(s) = s**3 + 1. Let t be o(-2). What is the remainder when t\/21 + (-7)\/(-3) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 782, 1656, 2544, 3440, 4338, 5232?\n\"Answer: -o**3 + 13*o**2 + 842*o - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**(-15\/8)*(v*v**0*v)**42 assuming v is positive.\nAnswer: v**(717\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 267*q + 566 with respect to q.\nAnswer: 267","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, w: 1, d: 8, f: 3}. What is prob of picking 1 j and 3 f?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/52 and ((-430)\/(-624))\/1 + 8\/(-64).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-708)\/72 + 10 - 1\/6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*b*m**2 + 1069*b*m*t - 4*m**2*t + 9535*m**2 wrt b.\nAnswer: -11*m**2 + 1069*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 21.057. Let g = p + 0.0569976. What is g rounded to 7 decimal places?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119816 is divided by 1058.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1299 a factor of 4077561?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 22*f - 22. Let w be n(-20). Suppose 0*t + 2*t = w. Factor -6 + j**3 - t*j**2 + 2*j**3 + 0*j**3 - 15*j + 3*j**4.\nAnswer: 3*(j - 2)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**2 - 14*r + 14. Let w be l(6). Solve -y - 15 = 3*n, w*y + 7 = -n - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.774146 to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 82754*j - 103. Is c(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 1. Let o(v) = -2*v**2 + 7 + 10*v**2 + 3*v + v - 3*v. Determine -o(y) + 6*x(y).\nAnswer: -2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*n, -5*n + 306 = 4*y - 0*n. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304976 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 - 43 = 83*k - 22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 394776903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:23 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/15, -254, 2, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1452*d - 114*d**2 - 1452*d + d**2 + d**2 + 0*d**2 + (-3 + 3 - 2)*(-d**2 + 2*d**2 - 3*d**2) + 3*d - 3*d + 2*d**2.\nAnswer: -106*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3186312 and 17\/624.\nAnswer: 82844112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4665 - 2?\nAnswer: -4667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (49 - 41 - -30)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 2*w**2 - w + 12. Let l be t(3). Let m be 2\/12 + (-64420)\/72. Let g = m - -896. Which is smaller: l or g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3811 or 3809?\nAnswer: 3809","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1043640 by -8.\nAnswer: 130455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 12 + 3 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*r + 3091*r**3 - 22*r - 3089*r**3)*(-1 - 2 + 1)*(-r + 4*r + 2*r).\nAnswer: -20*r**4 + 500*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10315.00000050701 - -10315. Round t to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 7*q - 2. Let l be f(-6). Let s be (4 - (-2 + l)) + 1. Let n = -0.06 - 0.24. What is the closest to 1 in s, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*g = 544, -4*g - 1136 = -27*c + 31*c. Let h be -2 - (c\/21)\/5. Factor 0*n + h*n**2 + 0.\nAnswer: 2*n**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4466714, -7 in increasing order.\nAnswer: -7, 1, 4466714","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -907, -908, -909, -910?\nAnswer: -911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21683 times -747?\nAnswer: -161.97201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -523900, -1047791, -1571682, -2095573, -2619464?\n\"Answer: -523891*p - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + 6 + -4 + (-302 - -319) - (7 - 2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4279084 a multiple of 482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + (-2*sqrt(240))\/sqrt(10))\/(-3*sqrt(36)\/sqrt(3)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 - v + 19. What is i(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.3025 in 5, -100, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**3\/q)**16*(q**3)**(1\/7) assuming q is positive.\nAnswer: q**(227\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (506\/(-1771))\/(2\/(-63)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -2*h - m, 39*h - 36*h + 3*m - 51 = 0. Solve 6*g = -g + h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 79031\/824 + -15\/412. Is u less than 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 m, and 2 q when four letters picked without replacement from {q: 2, m: 2, s: 5, o: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 180\/(-440)*1\/3 + (-228042)\/(-5412)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.07, 5\/2, -344, -1\/3 in decreasing order.\nAnswer: 4, 5\/2, -0.07, -1\/3, -344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 + 10. Suppose 0 = -2*m - b + 214. List the prime factors of m.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7\/5)\/((-1)\/(-5)). Suppose 0 = -5*a + j + 18. Let d(c) = -c**2 + 6*c - 3. Let y be d(a). Sort y, 4, 2\/3 in ascending order.\nAnswer: 2\/3, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of 2*r**5\/5 + 929*r**4\/12 + 13514*r**3\/3 + 1682*r**2 + 39*r - 31. Factor v(y).\nAnswer: (y + 58)**2*(8*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -5144607.\nAnswer: 10\/5144607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 2*x + 20, 20*x = 18*x + 10. Suppose -6\/5*b + 0 - 111\/5*b**j = 0. What is b?\nAnswer: -2\/37, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -78, 782 in decreasing order.\nAnswer: 782, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 9*m**3 - 23*m**2 - 28*m - 19. What are the prime factors of y(18)?\nAnswer: 7, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(1872)*-1 + -4*sqrt(312)\/sqrt(6))\/(-4*sqrt(4)*-3 - (sqrt(400) + sqrt(400)*2 + sqrt(4))))**2.\nAnswer: 1661\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/6)\/(12\/24). Suppose 0 = h - 5*j - 31, -25 = -v*h + 2*h + 2*j. Solve q = h - 19 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34222 (base 10) to base 8\nAnswer: 102656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*z = 7*r + 3130, -4*r = 3*z + 2509. Let m = r + 644. Solve 0 = 3*c - 5*c + 4, c + m = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 10*z + 260 = 0. Let d = -131\/2 + z. Let x = -0.1 + -0.1. What is the smallest value in x, 2\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-1)\/(-1)*1453 + 12 + -10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 2*k - 2. Let t(j) = 3*j**3 - 11*j**2 - 6*j - 13. Let m(r) = -2*q(r) - t(r). Give m(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ie when two letters picked without replacement from {m: 1, f: 1, i: 1, e: 1, n: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2 + 33*g + 138. Calculate o(-28).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - 17*b - 10. Let q = 30 - 16. Calculate the smallest common multiple of q and z(-16).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11078 is divided by 132.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 37732130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 38. Let s be (-56)\/(-21)*3\/(-2). Let p be 39\/(2*s\/(-8)). Calculate the highest common factor of p and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33160 + 1492133\/45. Calculate the common denominator of 4\/45 and g.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2438614 (base 9) in base 15?\nAnswer: 1b2947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100.999924 + -101. Round f to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/(-165))\/(-5)*3.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l**3 - 10*l**2 - 6*l + 13. What is f(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 1 + p + 3*p)*(-2 + 2 - 14*p).\nAnswer: -70*p**2 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/557 and -1\/11?\nAnswer: 6127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.2 + 8. Let c = o + -10. Let p = 5.879 + -0.879. What is the nearest to -0.4 in 3, c, p?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4228097032 and 18.121.\nAnswer: 4228097050.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**4 + 13*g**4 - 311*g**3 - 2*g**4 + 2*g + 312*g**3 + 17 as d + a*g**4 + v*g**3 + m*g + b*g**2 and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 162, 1117, 2710, 4941, 7810, 11317?\n\"Answer: 319*y**2 - 2*y - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, r: 2, t: 2, o: 4, i: 1}. What is prob of picking 2 t and 2 o?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5199 + 5237. What is the remainder when 4710 is divided by c?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76\/29 + 2801\/1102. Let o = 0.967 - 0.767. Put o, v, -1\/2 in ascending order.\nAnswer: -1\/2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318439.\nAnswer: 11, 28949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r + 12. Let h be q(6). Suppose -h = -4*k + 2. Suppose 4*u + 0*u - 2*v = 222, 0 = 3*u + k*v - 177. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 159 - 108. Suppose -5*u - 4*q + 185 = 0, -q - q - f = -u. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -1, -3 in descending order.\nAnswer: 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 161 - 97. Suppose 57*b - 7 = x*b. Let z(q) = 0*q - 9*q - q. Calculate z(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/1244 and 145\/12.\nAnswer: 3732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + h + 1 = -1, h = -4*y + 8. Let u be -2 - (2 + 4)*-2. Suppose u = 8*v - 6*v. Which is greater: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (39 - 40) + -1 + 0 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 11*r - 29. What are the prime factors of f(-17)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (223 - 119) - -4.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*i + 3 - 3)*(-2 - 3 + 4)*(-53 + 25 + 25) to g*i + a and give g.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 277469409 to the power of 1\/3, to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (1 + 2) - (-2 - 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/4)\/(s**(-2)\/s)*(s**(-1\/3))**0 assuming s is positive.\nAnswer: s**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6793103431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 + 115*z + 3005. Give i(-22).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1267999 + -77.1264479. Let o = 77 + u. What is o rounded to 5 decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -170991 - 0?\nAnswer: -170991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 293 - 292. What is the biggest value in 1\/3, n, -5, -52\/9?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**42*d\/d**(-16\/5))\/(d**11)**(-47))**(2\/47) assuming d is positive.\nAnswer: d**(5632\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1008 - -1501. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819209 is divided by 404.\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 6*v**2 - 8*v + 9. Let y be w(7). What is the first derivative of 2 + 2*n**2 - 3*n**2 + n**y + 2*n**4 wrt n?\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943983\/61 less than 15476?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 8:53 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 9 - 11 = 4*b, 4*b - 8 = 0. Let g(v) = -7*v**2 - 13*v - 30. Let c be g(k). Round c to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7))**(-17) assuming q is positive.\nAnswer: q**(68\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x + 4*j - 1120, j + 5 = 0. Round x to the nearest ten.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172*i - 31185 = -59*i. What is the highest common divisor of i and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5868 - 1756. Let o be (36\/4)\/(-54 - -57). Suppose o*s + 2*n + 10174 = 7*s, -5*n + k = 3*s. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54810 and 7830.\nAnswer: 54810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 13808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 16*w**2 + 430*w - 180. Give h(30).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -4 + -154)\/(1763\/(-41) - -47).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2bacd1 (base 15) to base 12.\nAnswer: -85a467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -8. Suppose 1 = f - 1, q*u + f = 10. Suppose -4*a - a - 4*l = -21988, -6 = u*l. Round a to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - t = -3, 2*t - 6 = 3*b + b. Solve 6*p - 4*p = b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(1008))**2.\nAnswer: -48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 76*j - 4. Let b = -32 + 35. Suppose 5*u + 3*d + 1 = 0, 0 = -b*u - d + 1 - 0. What is the remainder when l(u) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2331 and 190400?\nAnswer: 192731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*c**2*k**2*s + 7138*c**2*k*s**3*v + 2*c*k**2*s - 4*c*k*s**3*v + 2*c*k*s**3 - 35*c*s - 3*k*s wrt c.\nAnswer: 6*k**2*s + 14276*k*s**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8863011 (base 9) to base 4.\nAnswer: -102023130223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3*(-12)\/45)\/((-4)\/10). Suppose -y*a + 3*u = -0*a + 3, 0 = 4*a - 4*u. Suppose -n = 3*x - 167, 2*n = -x + a*n + 49. Is x a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:02 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74515?\nAnswer: 5, 7, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -137 + 72 + 65 - n**3 - 34*n - 36*n as j*n**3 + m*n + d + y*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 623 = 603. Suppose -2*a + 28 = 2*n, 0 = -d*n + n - 20. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 696*q - 695*q + 1823 = -238*i - 77, -4*i + 5*q - 42 = 10 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0 + 0)*(0*i**3 - i**3 - i**3) - i**4 - 4*i**4 + 2*i**4.\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*l - 16374 = 2*o - 15970, 4*l = 2*o - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2614*(-1 - 0))\/14. Let g = b - 187. Let h = -560.7 + 563. What is the closest to 0.1 in h, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 + 6*v - 3. Let x be k(3). Suppose d + x = 46. Let t(z) = 4*z - 131. Let u be t(34). Calculate the highest common divisor of d and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -34, -68, -116, -172, -230, -284, -328, -356?\n\"Answer: s**3 - 13*s**2 - 2*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 167164414 to the nearest integer?\nAnswer: 12929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-389*g**2 + 657*g**2 - 386*g**2)*(0 + 0 + 2)*(2 - 3 + 2) to o + m*g**2 + t*g and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -13.9733 from 236359.\nAnswer: 236372.9733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 107 + (16\/8)\/((-1)\/(-2)). Suppose -z*a - 400000 = -115*a. What is a rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -103 - -111. Suppose -5*w - 2*q = -283, k = -q + 3*q. Calculate the remainder when w is divided by 17.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4134 = -598*u - 5*u + 3531 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9243 (b) -1\/7 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.180991 millennia to years.\nAnswer: 3180.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 a factor of 5101080218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -21, -7385.\nAnswer: -7385, -23, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/(-16)*40\/6. What is the first derivative of -b + 17 - 3*s + 13*s + 2 wrt s?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 377.22 months in millennia?\nAnswer: 0.031435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 22 + 11 + -64\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 137.08 - 136. Let w = 1.079939 - q. Round w to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 6. Let g be (15\/(-5) - -2) + 8. Let d be 7\/(g\/(-3)) - -15. What is the highest common divisor of d and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1493.991928 - -1494. Round m to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61654873 to the power of 1\/2, to the nearest integer?\nAnswer: 7852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 246 + 366. Suppose -75*m + 288 = -p*m. Determine c, given that 64\/3*c**2 - 38*c - 10\/3*c**3 + m = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m + 29. Calculate b(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2 - 26*o + 44 = 0. Calculate o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 63\/4 (b) -0.06 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 + 6*u**2 - 5*u**2 + (-2*u - 1 + 1)*(5*u - 3*u - u) + 1 - 1 - u**2 + (u**2 + 3*u**2 - 2*u**2)*(-1 + 2 - 2) - u**2 - 2*u + 2*u.\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21613*g**5 - 607*g**3 - 105748102*g wrt g.\nAnswer: -432260*g**3 - 3642*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**1)**48*(u**(-1\/6))**(1\/9) assuming u is positive.\nAnswer: u**(7775\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/(-104)*(32\/(-6))\/4.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -0.036 (c) -1\/2 (d) -1 (e) -9\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) + ((sqrt(90)\/sqrt(9))\/sqrt(5) - sqrt(2)))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = 19*l + 30 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2. Let w = -189 - -157. Which is smaller: w or t?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*6*10\/(-6). Solve -4*f + y*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10287 and 19521?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3978830269?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41275 (base 11) to base 13\nAnswer: -21543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (-1*(2 + sqrt(99) + -1 + (sqrt(99) - (1*sqrt(99) + 2))))**2).\nAnswer: -12*sqrt(11) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16338438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -177\/13 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14703, 29408, 44113, 58818, 73523?\nAnswer: 88228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -423, -2 in descending order.\nAnswer: -2, -5, -423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 111 = -4*f, -15*f + 5209 = 3*q + 5206 for q.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2207 or -2199?\nAnswer: -2207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 8. Let g = w + 28. Suppose -2*l - l = -g*p - 3, -p = l - 5. Solve -v = l*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/147 + -2795\/294. Calculate the common denominator of 43\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 2*u = -0*u + 2, 3*p - 2*u = -2. Solve 2*n + p - 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 116*p**2 - 232*p + 146. Determine y(114).\nAnswer: -310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36cd65 (base 14) to base 3.\nAnswer: -10112111020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 4*n - 114 - 6*n**3 + 2*n**3 + 119. List the prime factors of u(-4).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 548689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*j - 2 = 0. Suppose 4*r - y = 2*r, 0 = -y - 2. Let v = r - j. Sort -2, 4, v.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 57, -6, -5, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**0)**22\/(c\/((c\/((c*(c\/c**(-1\/3))\/c)\/c))\/c)*c**(-3\/5)))**(26\/3) assuming c is positive.\nAnswer: c**(-286\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 10 + (8 - 5) + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 55 (b) 5 (c) -4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -3*l**3\/2 - 17*l**2\/2 + 16*l + 14 = 0?\nAnswer: -7, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -619.948 + 620. What is the third biggest value in -1\/2, a, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02632 (b) -2 (c) -1.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 28*f**2 - 56. Let s(m) = -m. Calculate s(c(a)).\nAnswer: -56*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 = 2, -3*l - 21 = -m. Calculate the least common multiple of m and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -431, -426, -425, -434, -459, -506?\nAnswer: -581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 (base 6) in base 14?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -19*x - 384. Calculate w(-19).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -3*l. Let b(a) be the third derivative of -a**4\/24 - 13*a**3\/6 + 2*a**2 - a. What is j(b(q))?\nAnswer: 3*q + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042584 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23954700 divided by -2013?\nAnswer: -11900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 + 121. Factor 9*t - 2*t - z*t**4 + 16*t**2 + 10*t - 20*t**3 - t.\nAnswer: -4*t*(t - 1)*(t + 2)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 56770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -2. Let j = 14 + -6. Let q = -5 + j. Is q at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59 + -59. Let n(b) = -2 - 1 + 0*b + l - 2*b. Let u be n(-2). Solve -u = -4*z + 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 + 2*u - 3. Let g be y(-4). Suppose -f - 12 = -g*f. Suppose 3*j + o = 6, 6 = f*j + 2*o + o. Solve -i - 6 = j*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 32?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09 + -3.09. Let r = -6 - t. What is the biggest value in 0.05, r, -2\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(1\/20))\/s*s)**(-1\/33)\/(s\/(s\/s**20)*s*s*s**(-33)\/s*s))**(2\/19) assuming s is positive.\nAnswer: s**(7241\/6270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3922 a factor of 9644198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tiizc. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/3)\/16)\/(11\/3 + -3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) 29.8 (c) -11 (d) -0.4 (e) 1 (f) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -4*h - 4, -2*l = -3*l - h + 9. Solve c - l*c + 4 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**4*l**3 - 4*j*l**3 - j + 2*l**3 - 2*l**2 wrt j.\nAnswer: 4*j**3*l**3 - 4*l**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 + 40*x**2 + 31*x + 24*x**2 - 62*x**2 - 2 in the form q + i*x + r*x**2 + t*x**3 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -281248712 by -35156089.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2 + 17577*q + 334735. Give g(-19).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011110001000 - 100000001101?\nAnswer: -100111110010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -410.0441 + 410. Let i = m + -60.7559. Let z = i - -61. Which is the nearest to -1\/3? (a) 0.8 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25300 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -5*-1*sqrt(76) - (sqrt(76) + -1*-1*sqrt(76)))\/((-2*sqrt(20) + sqrt(20) + sqrt(20))\/sqrt(5) - sqrt(100)*-1).\nAnswer: 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 927995 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -22) + (-39 - 18) - -20.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 7, 66, 0.9 in decreasing order.\nAnswer: 66, 23, 7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 970927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/273 + -172\/1365. Let l(p) = -p**2 + 5*p. Let w be l(5). Is w smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2\/85, -1\/5, 2\/7, 2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**3 + 42*j**2 + 187*j - 543. Give z(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-711)\/(-18) - (1 - ((-36)\/(-8))\/(-9)). Does u = 272\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/16 - w**3\/12 + w**2\/8 + w\/4 - 3. Factor t(j).\nAnswer: -(j - 1)*(j + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 104 + 86 = 0. What is the remainder when 103 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzrwoqjrjqrroz. Give prob of sequence qq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/1)\/((-60)\/440). Suppose -105 = -g + 3*q, 3*g - g = 5*q + 211. Let h = g - n. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -733\/6 - -122. Sort b, 0, 2\/3, -2\/9 in ascending order.\nAnswer: -2\/9, b, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-21)*(-147)\/(-21).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 276*k - 560*k + 342*k - 1160 = 0 for k.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2568, 2601, 2664, 2763, 2904, 3093, 3336?\n\"Answer: k**3 + 9*k**2 - k + 2559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.84 and 5?\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/5))**10)**(2\/47) assuming y is positive.\nAnswer: y**(8\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - 2*c. Let l be z(-2). Suppose 2*r - 6*r - 4 = 0. Let m(f) = f**2 - 14*f + 3. Let y be m(14). Sort r, l, y in decreasing order.\nAnswer: y, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(70\/(-24))*-1974?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*6\/33 + 111 + -109?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/3 + x**2\/3 - 5*x\/3 + 1.\nAnswer: (x - 1)**2*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -114121?\nAnswer: 114113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*s + 214*s + 63591 = 106*s. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 12:26 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002048 to seven decimal places.\nAnswer: -0.0000205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in -0.4, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34968 - -35255. Calculate the remainder when f is divided by 144.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26 + 13516?\nAnswer: 13460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q + 16*q - 6 - 7 = -v, 0 = -5*v - 12*v + 391 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2*s = 22, 2*z + 3*s - 3 = 9. Suppose -b - 1 = 5*l + 17, 3*l + 1 = -2*b. What is the least common multiple of z and b?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/(-33) + 70\/3. Suppose -4*q = -25 - u. Suppose -4*m + 0*m = -q. Solve 5*f - h - 3*h - 15 = 0, f = -3*h + m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 913.377.\nAnswer: -1826.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 214\/77 equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3131270897?\nAnswer: 71, 44102407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 16675 = -52953. Is (s\/6)\/((-2)\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21228 and 840.\nAnswer: 1485960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 57*p + 1565. Give d(-78).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 4514635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 34970.34g?\nAnswer: 34970340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*g + 4*y, -3*g + 4*y - 16 = -8*g. Solve -3 = -3*a - i, g*i + 10 = -2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, k: 5, j: 8, y: 2, o: 1}. What is prob of sequence kay?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1, 0*w + 3*w + 1003 = 2*v. Suppose x - v = -4*x. Suppose 5*z - 3*z = o - 23, 4*o - 4*z - x = 0. What is o rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.77465 + 0.22615. Let g = m + -24. What is g rounded to 4 decimal places?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7325\/9 + 814. Let z = 0.2 - -0.2. What is the third smallest value in z, t, -0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = -c + 5, 2*c = -2*j - 10. Calculate the common denominator of (-75)\/63 - (j\/(-3))\/(-1) and 19\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2220)\/333)\/(5\/(-12))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/430 and 56\/2427909.\nAnswer: 24279090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5631 divided by -1\nAnswer: -5631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-18)\/(-16)*34\/6 and (-3)\/9*-2 + 8200\/1725 + -6.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -39. Let f = z + -23. Sort 2\/7, f, -0.2.\nAnswer: f, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*z**2 - 43*z**2 + 3*z - 25*z**2 - 4*z to the form v*z**2 + o*z + b and give v.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**3 + 495*j**2 - j + 14. Let h(s) = 21*s**3 - 2477*s**2 + 5*s - 70. Let d(m) = 2*h(m) + 11*q(m). Find the second derivative of d(x) wrt x.\nAnswer: -12*x + 982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -4*n**2 + 2*n**2 + n**2. Suppose 0 = 35*l - 30 - 40. Let s(o) = 7*o - 16*o + 9*o - 12*o**l. Give s(w(i)).\nAnswer: -12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 201225507 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.0483 + 9338.0483. Let p = m - 9337.4139. Let l = p - -0.44. Round l to three dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 5)*(y**3 + y**2 - y**2 + (7 + 5 - 7)*(3 - 3 - 2*y**3)).\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -4, -200 in decreasing order.\nAnswer: 13, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Let u be 3\/l - 342\/45. Let c(d) = -2*d - 9. Determine c(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 + -22. Suppose -2*g = -2*m + 7 + n, -8 = -m + 2*g. Let v be (-360)\/84 - m\/(-14). Sort -5, 5, v.\nAnswer: -5, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = 5*b + 19*b. Let v(q) be the first derivative of b*q + 1\/6*q**4 - 7 + 0*q**2 + 2\/9*q**3. Let v(j) = 0. What is j?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, 2, 4 in ascending order.\nAnswer: 2, 4, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13, 9, 59, 149, 291, 497, 779, 1149?\n\"Answer: 2*w**3 + 2*w**2 + 2*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, y: 1, k: 1, d: 2}. What is prob of sequence dxd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 10. Suppose -b*u + 216 = 4*s, -4*s - 5*u + 152 = -64. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*((-18)\/(-51))\/(11\/187).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*z + 30, -3*b - 9 = -0*b. Let q(a) = 4*a + 8. Let g be q(z). Suppose -4*w + 2*k = -4 - g, -5*k = 0. Is w a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = -3*m, -13 = -m - 4*t - 2. Let k be (-1 + m - 3)\/1. Let g(h) = h**3 + 5*h**2 - 2*h - 3. Calculate g(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*q**3 - 72*q**3 + 14*q**3)*(q - 2*q + 3*q) - 1 - 18*q**4 + 2 + 19*q**4 + (0*q**2 - 3*q**2 + q**2)*(-2*q + 2*q**2 + 2*q).\nAnswer: -185*q**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 439277242 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 8*v + 6. Let l be (-10)\/(v\/1 - 0). Suppose l*b - 15 = 50. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 12*c - 528. Is c a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = 7. Let j = 18 + p. Let o(d) = -5*d + 1. Let g be o(-1). Solve 6*b = j*b + g for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k + 1. Let j(u) = -5*u - 2. What is 4*j(r) + 9*x(r)?\nAnswer: 7*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86921\/20 + -21702\/5. Let f = 909 + -12715\/14. Calculate the common denominator of f and n.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 939706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -12*w**2. Let k(n) be the first derivative of n**5\/120 - n**3\/3 - 5. Let o(y) be the third derivative of k(y). Determine o(s(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(21\/7 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xy when two letters picked without replacement from {y: 1, k: 1, h: 4, v: 1, x: 3, u: 5}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 6 (b) 3 (c) -0.06 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/34 and 129\/280.\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.3, 124, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 2*g + 140. Let f(v) = -16*v**2 - g*v**2 + 20*v**2. Let k(m) = -242*m. Calculate f(k(y)).\nAnswer: 117128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 23849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 11. Let o(c) = 5*c + 32. Let i(k) = -4*o(k) + 11*r(k). Let t be i(6). Solve 1 = t*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c - 29. Suppose -267 = -5*t - 182. Let i be f(t). Solve 7 = -i*v + 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 9:35 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 + (-11 - -40) + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -302\/5, -26, 3\/8?\nAnswer: -302\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1418 + 12583?\nAnswer: 11164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/15)\/(1\/10) + 0. Suppose -2 = k - 4*n + z, 2*n = 2*k - 4. Let g(u) = u**3 - 5*u**2 - 4*u + 2. Determine g(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 57*d**2. Let k(b) = -2*b. Calculate f(k(h)).\nAnswer: 228*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -25552433 (base 7) in base 12?\nAnswer: -945845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c + 2*c + 0*c + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -3 + (13 + -12 - -5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 3*l**2 + 5*l + 2. Suppose -3*m + 6 = -21. Suppose 0 = -s + 4*s + m. Calculate f(s).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -209 and -0.11.\nAnswer: -209.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 29957 times 0.3\nAnswer: 8987.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 91*n - 49*n - 49*n - 50*n + 231*n.\nAnswer: -8*n + 159","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -609 - -399. Let a = 209.9332 + u. Round a to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 66?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -0.1 (b) -2\/207 (c) 4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8520 and 6390?\nAnswer: 25560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mr when two letters picked without replacement from {m: 5, r: 15}.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1474084051 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 242 + 17 = 0. Suppose -2*k + 7*k = t. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2664763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 146673251, 146673253, 146673255?\n\"Answer: 2*o + 146673249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1781 is divided by 89.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107, -195, -283, -371, -459?\nAnswer: -547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5035, 5004, 4949, 4870, 4767, 4640?\nAnswer: 4489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 0.04, 3\/2, 0.09?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3281600 a multiple of 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - g - 8 = 2*s, 0 = 4*s + 4*g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -t**6\/240 + 4*t**5\/15 + 11*t**4\/16 - 180*t**2. Determine n so that a(n) = 0.\nAnswer: -1, 0, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 1 = -2*q + v, 5*q = 3*v - 4. Let w be 1 + q - -9*1. Let y = 38 - w. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*k + 352 = 0, -h + 190 = -2*k + 7*k. Suppose 8*d + h = 14*d. Solve -5*a = -5*p - 50, 3*p + 5*a - d = 4*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 24, 27, 30, 33?\n\"Answer: 3*n + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -2.3, 0?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*p + 27424 - 27424.\nAnswer: -28*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -7, 3, -21, -5 in decreasing order.\nAnswer: 3, -2, -3, -5, -7, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x - 25. Let w(v) = 6. What is -2*o(m) - 9*w(m)?\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.45 - -0.55. Which is the smallest value? (a) y (b) -4 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 941136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 6:50 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*((-4)\/(-10))\/(4\/(-5)). Suppose -4*s - 4*t = -60, j*s - 5*s = t - 63. Calculate the highest common factor of 168 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 85\/(-204)*(0 - (-40)\/(-225)). Let c(v) be the first derivative of -10\/9*v**2 + i*v**3 - 9 + 50\/9*v. What is j in c(j) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 2*k**2 - k + 1. Let u be l(2). Let b be 4*((-12)\/(-8) + u). Solve b = -h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 10. Suppose h - 22 = -5*x. Let y(z) = 2*z - x*z - 5*z + 4*z. Let v(g) = -6*g. Calculate v(y(j)).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4847*l + 39 + 2417*l - 39 + 2422*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3 - 1 + 2*g.\nAnswer: 2*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 58963043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*w - 20 = 204, 4*w = 3*y + 232. Which is bigger: y or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 76*y - 596. Give o(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xttxttpn. Give prob of picking 3 t and 1 n.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9237499 (base 10) in base 6?\nAnswer: -525554111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(2\/(-4)*2)*-1. Let y(b) = b**2 + 4*b - 8. Let d(r) be the second derivative of r**3\/6 - r**2\/2 + 14*r. Calculate j*y(c) - 6*d(c).\nAnswer: c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -75 + 118. Let n = 38 - s. What is the closest to -0.11 in 0.4, -2\/3, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:39 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*a - 1 - 2)*(1 - 1 - a + (3 + 2 - 3)*(a + a - a) - a + a + 2*a)*(2 - 2 - 3*a)*(-a**2 + a**2 + a**2).\nAnswer: -18*a**5 - 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1522 - -1327. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n**3 - 17*n**2 + 8*n - 12. What is the tens digit of h(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 103 - 317 = 0. Let f = o + 163. Suppose -5*d - 251 + 636 = 5*y, -y = 2*d - f. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-55)\/((-5500)\/(-4560))*10\/(-6)?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**5 - c**4 - c**3 + 3*c**2 - 2. Let l(f) = -5*f**5 - 4*f**4 - 5*f**3 + 15*f**2 - f - 11. Let h(x) = -2*l(x) + 11*n(x). What is v in h(v) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -193 + 195. Suppose 0 = -4*f - 3*l + 10, -6 = -5*f - 3*l + 5. What is the derivative of 1 - 5 - d*q + f + 2 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 0 + 0 + y. Let g(w) = -3*w**3 - 4*w + 2. Suppose 0 = -4*n - 8*u + 4*u + 20, 0 = n + 2*u - 8. Determine n*q(l) + g(l).\nAnswer: -l**3 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -243 - -17.7.\nAnswer: -225.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 15\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 673, 3 in decreasing order.\nAnswer: 673, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + w**2 + 2*w. Let q(d) = d**3 - 22*d**2 - 41*d + 19. Let n(o) = q(o) + 2*t(o). List the prime factors of n(-18).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 18*l**5\/35 + l**4\/2 - 22*l**3\/21 - l**2 + 4*l\/7 - 44. Find b such that c(b) = 0.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from beeeeeeeeeeee. What is prob of sequence ebee?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 9*z = 5. Let m = 3 - z. Suppose -m*n - 2*n = -24. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/6*-1 - (-3150)\/(-54). Let v = q + 60. Suppose 8\/7 + 50\/7*g**v + 40\/7*g = 0. What is g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 268587437.\nAnswer: 17, 409, 38629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l + 3*l**2 + l + 4*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -11227.45 and 482702232?\nAnswer: 482713459.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 2290.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021 - 100?\nAnswer: -1121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -941, 5, -3 in descending order.\nAnswer: 5, 4, -3, -941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4390 + 7)\/(2\/4). Suppose -4*r + w + 3*w - 15972 = 0, 0 = 3*r + 3*w + 11985. Let t = l + r. What is t rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*l + 138 = -79*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 5*b = -119, 5*b = -0*b - 25. Let y be (-15*8\/m)\/(5\/12). Suppose y*w - w = 480. Is w a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86 + 91. Suppose -y - 4*i = -75, -y - 3*i = -f*y + 300. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 114*p**2 - 397*p**2 - 74 + 148*p**2 + 139*p**2 - 29*p. Calculate f(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2 = -r + j, 0 = 2*r + 5*j - 16. Calculate the common denominator of 103\/(1 - r - -15) and 101\/16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 0*x**2 + 3*x**2)*(-100*x - 18*x + 47*x) + (22*x - 22*x + 5*x**2)*(-2 + 2 - x).\nAnswer: 137*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 8:52 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3184 and 24896?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, h: 5, x: 7}. Give prob of sequence xnh.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000468699 to 6 dps.\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 72\/108 - 10\/6 - -177. Let p = 225 - t. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 1:34 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10.2 (b) 109 (c) -2762\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4799.312 centuries in years?\nAnswer: 479931.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 2*f + f - 4*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -4*a + 7*a - 768, 0 = 4*a - 2*v - 1002. Let n(m) = -128*m - 9 - 122*m + a*m. Calculate n(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 146.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 24*b**2 - 10*b + 13. Let r(g) = -g**3 + 21*g**2 - 9*g + 12. Let w(k) = 5*r(k) - 4*s(k). Calculate w(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320221667 to the nearest integer?\nAnswer: 17895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 152569163 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**3 - 55*h**2 - 24*h + 103. Let c be v(28). Calculate the highest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -97.\nAnswer: 4\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/10160948 and 1\/954?\nAnswer: 91448532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 140, 158, 176?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -223041 - 3?\nAnswer: -223044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6434 times -4\nAnswer: -25736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -36614\/303 at least -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1947806 is divided by 67?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**3 - 120*n**2 - 1055*n - 930.\nAnswer: 5*(n - 31)*(n + 1)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - a0a27?\nAnswer: -a0a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -28 - (-7 + (-9 - -4) + -1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f - 3. Suppose b + 3*b - 32 = 0. Let i = b + -3. Determine o(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -0.3, -6, -2.\nAnswer: -6, -2, -3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49908580.\nAnswer: 2, 5, 2495429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 + 85. What is the nearest to -3 in r, -4, -10?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a factor of 281875774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 14.4 and 2.8328234?\nAnswer: 11.5671766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*y**5 + 207*y**4 - 7*y**3 + 329071*y + 2 wrt y?\nAnswer: 1120*y**3 + 2484*y**2 - 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.14 - -0.1399768. Round b to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4042, 16460, 37172, 66172, 103454?\nAnswer: 149012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 657895 is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 2*d = -18, -5*d = 3*y - 5*y - 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.6 + 0.1. Let c = -15 - -37. Let j = -23 + c. Which is smaller: g or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153655 - 7?\nAnswer: 153648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d2b + 5?\nAnswer: -1d26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 5)*6\/(-8). Let g = 16 + -19. What are the prime factors of 6 - (g - (-3)\/o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*t + 6*t - t)*(831 - 1734 + 760)*(-2*t - t + t + t - 2*t - t + (5*t - 5*t - 2*t)*(5 + 0 - 3)) to the form b*t + f + p*t**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 19011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)*f\/(f**(3\/5)*f)*f)\/(f**15\/f*f*(f\/f**14)\/f) assuming f is positive.\nAnswer: f**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2)*l*l**(-2))\/(l\/l**(-1)*l\/l**(-6)) assuming l is positive.\nAnswer: l**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-65)\/(-3))\/(2 - (-17518)\/(-8760)). Round z to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 25*q**2 - 20*q - 59. Let d(j) = -12*j**2 + 8*j + 30. What is -5*d(a) - 2*l(a)?\nAnswer: 10*a**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 32 = -2*n, -k + 10 = -54*n + 58*n. Calculate the greatest common divisor of 1746 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225) - 1*sqrt(225))\/((sqrt(27)\/sqrt(144) - sqrt(3)) + sqrt(3)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/8)\/(3\/4). Factor 0*z**2 + 6*z**2 + t*z - 4 - 4*z**2.\nAnswer: 2*(z - 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**44*n*n*n*(n**(-14)*n*n)\/n*(n*n**(3\/14))**(-5\/13) assuming n is positive.\nAnswer: n**(-9731\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105533 - 4?\nAnswer: 105526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 9*h**2 + 13*h - 37. What is q(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 441375391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of h**5\/150 - h**4\/20 - h**2\/2 - 10*h. Let w(p) be the first derivative of t(p). Factor w(j).\nAnswer: 2*j*(j - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 13*h**3 - 10*h**3 + 33 + 30*h + h**2 - 4*h**3 - 14*h**2. Let r be g(-15). Let w = 6 - 3. What is the greatest common factor of w and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*p + 2535. Let f be 4\/(-10) - p\/5. Suppose m - 18 = f. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 1. Let o(x) = 5*x + 6. Let n(a) = -o(a) - 4*p(a). What is n(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -655 - -3?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 15*q + 0 + 1 to o*q + m and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*s**2 - 90*s**2 + 15*s**2 + 48*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 30282012?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-23*t + 5*t - 31*t)*(2*t**3 - 5*t**3 + t**3) + t + 167*t**3 - 167*t**3 - 6*t**4 to the form q*t**4 + k*t + u*t**3 + x*t**2 + z and give q.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Let s(y) = -275*y + 5. Let l be s(k). What is l rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 12 = 2*h - 5*h - 2*h + 48, -35 = -7*h for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = y - 10, 4*y + 216 = -8*s + 236 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 3*q**2 + 131*q + 220. What is t(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17722815.\nAnswer: 3, 5, 11, 37, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2865100 is divided by 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 - -194. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 4:38 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17489913?\nAnswer: 3, 7, 23, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 757714.4l?\nAnswer: 757714400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -4\/3*r**3 + 1\/12*r**4 + 4 + 3*r + 9\/2*r**2. Calculate y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 763465346*a**3 + 801464110*a wrt a?\nAnswer: 4580792076*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -38 in -0.077, 4, -483, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 712*v**2\/7 + 132*v\/7.\nAnswer: 4*v*(178*v + 33)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y - g - 939, 4*y = -4*g - 936. Let n = -74 - y. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 30 = -9. Suppose -4*a - d = -3*j, -a - 72 = 4*a + 4*j. Is (-1)\/6 - 1430\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 820\/11 + -79. Let f(s) = -10*s. Let x be f(3). What is the common denominator of x\/(-9)*9\/(-7) and t?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t\/(t\/(t*t\/(t**(1\/2)\/t*t*t)*t)))\/t)\/t)**50\/(t*t*t**(2\/5))**18 assuming t is positive.\nAnswer: t**(159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1617062 divided by -1617062\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -56 (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 27500 = -264. Suppose y - 2236 = -5*r + 879, -4*r = 4*y - z. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334716 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 0.14, 0.3, -0.024?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 201624.952 to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*b + 4359 + 6059 = 0, 4 = b. Is k a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 7 - 9 = 0. Let z = q - -20. Let a(f) = 3*f - 7. Let l(s) = s - 3. Determine z*a(n) - 9*l(n).\nAnswer: 3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 4. Let n be v(4). Let s be (-34)\/(-10) - (-2)\/(-5). Suppose -s*d + 7 - 1 = n. Solve d = -o - o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.23 (b) -2 (c) -3.2 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 59\/4 of a minute?\nAnswer: 885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1322690 to the nearest one thousand.\nAnswer: -1323000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234.88 + -240.88. Which is the smallest value? (a) -0.031 (b) -9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**5 - 4*i**5 + 2*i**5 + (316*i**4 + 2093*i**2 - 2093*i**2)*(-3*i - i + 3*i) + i - i + i**5.\nAnswer: -313*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((2*(sqrt(1539)*-2 - sqrt(1539)))**2 + 1 + -3)*-1.\nAnswer: 221608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 207 and 21.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3463747364 to the nearest integer?\nAnswer: 1513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 215*m + 5. Let k(v) = -274*v. Determine k(f(x)).\nAnswer: -58910*x - 1370","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y**3 - y. Let i(t) be the second derivative of t**4\/12 - 10*t**3\/3 - t**2\/2 + 2*t. Let x be i(20). Let g be r(x). Solve -g*j = -j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2 + 2*r - 3. Let q be t(0). Let v be (0\/q)\/(0 - 2). Find u such that v*u**3 - u**3 - 4*u + 0*u**2 + 5*u**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4216.14 + 4107. What is z rounded to the nearest integer?\nAnswer: -109","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3562 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 4*j + 8, 2*k - 6*k - 40 = 4*j. Let i(u) = -2*u + 6*u - 5*u + 2*u + 7. Let b be i(k). Put b, -2, -5 in descending order.\nAnswer: b, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 273 and 91.7385.\nAnswer: 364.7385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4 = -0. Suppose -14*m = -6*m + 32. What is the second smallest value in l, m, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from talgh. What is prob of picking 1 g, 1 h, 1 a, and 1 l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5 + 4*r + 4*r + 16 - 5*r - 6*r**2. Suppose 2*k = h + 4, 0 = 2*k - 2*h - 9 + 5. Let q(d) = -2*d + 4*d**2 - d**2 - 7 + d**k. Give 5*l(p) + 8*q(p).\nAnswer: 2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:38 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**3 + s**2 - 4*s - 300. Let i be b(0). Which is greater: i or -301?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-8)\/6)\/((-32)\/(-48)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-1 + -1) - -29. Suppose 3*n = 5*n - c. What is the remainder when 43 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*j**4*r + 128*j**3*r**3 - 131*j**2*r + 4*j*r**3 - 2*j*r wrt j?\nAnswer: 432*j*r + 768*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, l: 8}. What is prob of sequence lkkl?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, -835, -3309, -8105, -15997, -27759, -44165?\nAnswer: -65989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 855857 - 0.15?\nAnswer: 855856.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -556?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -44 + -1675?\nAnswer: -1730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446970 is divided by 24?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 1 + (-2 + 2 + 2)*(-4 + 3 + 2))*(-21 + 20 - 61*p - 26*p).\nAnswer: -696*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (1 + 0) - (-39 - 35 - -77).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55 divided by -2602636.\nAnswer: -55\/2602636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r**2 + 9*r + 9. Suppose -46*p + 39*p = 42. Let i(f) = 7*f**2 - 5*f - 5. Calculate p*q(j) - 11*i(j).\nAnswer: j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10 + 5\/((-150)\/(-108))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300303123133 (base 4) in base 6?\nAnswer: -1134113251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 11)*4\/(-12). Suppose 0 = -v*x - 4*x. Let z be (x\/(-8))\/(-3)*(-1)\/2. Solve z = m - 0*m - w + 2, -5*m + 40 = 5*w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 170, 254, 336, 416, 494?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 56 or 53?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145272019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 351629.\nAnswer: 79, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m + 3. Let w(t) = 4 + 514*t - 512*t + 3*t**3 - 2*t**3. Let q be (12\/9)\/(4\/6). What is q*w(c) - 3*n(c)?\nAnswer: 2*c**3 - 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.674 take away 0.07116?\nAnswer: 0.60284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 84.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27197*m + 302*m**2 + 13610*m + 13587*m.\nAnswer: 302*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20869.\nAnswer: 41, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4)*-2)\/(266\/(-56))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/((-2)\/(36\/(-2))). Let l = d + 13. Let b = 6 - 6. Solve b*j = l*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.572 - 3.572. Let o(k) = k**3 - 11*k**2 - k + 14. Let p be o(11). Let z = p - -5. Which is the second biggest value? (a) 2\/13 (b) z (c) -1\/5 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -9.1\nAnswer: -54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -30. Suppose -5*r = 5*q - 25, 2*r + 6 = -4*q + 22. Let h(y) = -2*y - 3. Let i be h(-3). Solve u = -r*n + i*s - 11, -1 - 2 = -s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i - 7. Let w be (-4)\/i*(-1 + -4). Suppose 0 = o - 4 - w. Solve f + o = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 736679, 736673, 736645, 736583, 736475, 736309?\nAnswer: 736073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 129245 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -88543.\nAnswer: -3\/88543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -20*c - 5. Let k be d(-12). Let s = 383 - k. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-16) - (-772)\/32.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (1 + (sqrt(637) - sqrt(637)*5) + -3 - ((sqrt(637) + 4 + sqrt(637))*-5 - sqrt(637) - sqrt(637))*4))**2.\nAnswer: 199584*sqrt(13) + 4959172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5 - -0.2. Let x = -0.3 - a. Let v = -56\/85 - -18\/17. What is the closest to v in x, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**0*m))**(-2\/109)*(((m*m*m\/(m**(-2)\/m)*m)\/m)\/m)**(2\/19) assuming m is positive.\nAnswer: m**(10\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14820 and 978120.\nAnswer: 978120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 4*g - 14 = 0. Suppose -15*r = -g*r - 5. Calculate the remainder when 8 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -p + 3*z, -2*z = p - 3*z + 166. Let r = 232 + p. Calculate the remainder when r is divided by (-4)\/(-14) - 117\/(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6981 is divided by 216?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 69\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 16, -17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -1\/6*x**3 - 26*x - 1\/20*x**5 + 0 - 1\/6*x**4 + 0*x**2. What is m(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*h**6 + 662*h**5 + 7*h**3 + 1103647*h**2.\nAnswer: -1440*h**3 + 39720*h**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -553, -1099, -1645, -2191?\nAnswer: -2737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 23280000 to the nearest one million.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*r**3 + r**3 - 2*r**3)*(4001 + 8839 - 5516) - 2*r**3 + 3*r**2 - 3*r**2 to n*r + t*r**2 + f*r**3 + g and give f.\nAnswer: 14646","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * -4.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -4*w - o, 3*o = -5*w + 82 - 22. Solve -w*a = -8*a + 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381392?\nAnswer: 2, 11, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/139 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-7)*-4)\/((50\/35)\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -13*j. Let z(l) be the third derivative of l**4\/24 + 31*l**2. What is z(n(w))?\nAnswer: -13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/4 - 9560353*h**2\/4 + 19120703*h\/4 - 9560351\/4.\nAnswer: (h - 9560351)*(h - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/((-7)\/(49\/14)). Suppose f*t = -3*r + 23, 43 = r - 5*t + 2. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37819 + 57946. What is the thousands digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-327)\/(-33) + -7) - 124\/33?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279*j + 28 = -272*j. Solve -k + j*k + 5*a = -8, 0 = 2*k + 2*a + 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.40922 days in nanoseconds?\nAnswer: 2540956608000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/3580 and 143\/2544.\nAnswer: 2276880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/5)\/((-2)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (1 - (-4 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 18 - 28 = -2*q, 39 = 2*q + 5*a. Let i be (q\/143)\/((-1)\/(-2)). Which is smaller: -1\/4 or i?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 741168 and 205262360?\nAnswer: 3694722480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -3\/7 (c) -4523 (d) 1\/5 (e) -2\/17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 30 = -5*o, 238*o = 234*o - 28 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4081 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1765910 and 0.4.\nAnswer: -706364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103843, -207684, -311525, -415366, -519207, -623048?\nAnswer: -726889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*s - 8 = s, 0 = -2*a - 5*s + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*h + 39 = 0, 2*k + 4*h - 2*h + 18 = 0. Let y be (-2)\/7 - k\/(-7). Let r = -5 - -2. Which is the third biggest value? (a) y (b) -4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47.2 + -47.725. Let m = 203.225 + v. Round m to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1668 (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 750768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 7*w + 14. Solve -a = 4*j - 1 + w, 5*j - 1 = a for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4900 + -4900. Let l = -19 - -13. Let n be ((-3)\/6)\/(1\/l). Which is the nearest to -1? (a) n (b) 1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-8)*(-1 - -11 - 2). Suppose -11*b + u = -6*b. Solve 0 = 4*q + 12, 3*m = b*q - 8*q - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -r + 21. Suppose 24 = 2*g - r. Calculate the highest common factor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 66\/35 (c) -0.0717 (d) -5 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5324 (base 10) in base 13?\nAnswer: -2567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21*6\/9*2)\/(1*-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14591 - 3721 = -2*n. Suppose 33093 - n = 3*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -281\/5. Suppose j - 31 = -5*i - 20, 0 = 2*j - i + 11. Sort a, -1\/2, 0.5, j in descending order.\nAnswer: 0.5, a, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, o: 1, e: 1, i: 1, k: 1}. What is prob of sequence ioke?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + w - 448 = 0, 4*o + 18*w - 341 = 23*w. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -9*q - 4*q - 9*q - 4*q + 25*q. Let w(z) = -578*z. Calculate o(w(r)).\nAnswer: 578*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 7*f**3 + 8 - 3*f - 9 + 4*f. Let p be z(1). Let r(m) = m + 7. Is r(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 5*y + 21*y + 0*y - y + 0*y + (-2*y + 1 - 1)*(0 + 0 + 2) + 0*y + 0*y + 2*y + 208 + 52*y - 208 to the form k + z*y and give z.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 617459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*l - 1 + 27. What is the closest to 1 in 3, -3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28075581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3.84 (b) -10 (c) -0.1 (d) 0.5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w, -5*w = 5*r - 22 - 28. Let u be ((-12)\/r)\/((-12)\/160). Find the third derivative of 4*h**2 - 5*h**2 + u*h**3 - 2*h**3 + 3*h**3 wrt h.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((-360)\/(-800))?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 96220.\nAnswer: 23\/48110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1533 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -150*q**2. Let l(i) = -i - 2. Let y(k) be the second derivative of k**3\/2 + 5*k**2\/2 + 9*k + 1. Let d(j) = 5*l(j) + 2*y(j). Calculate o(d(z)).\nAnswer: -150*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - 9) + (57 - 54)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-23\/3)*s\/(s\/(s*s**(2\/3)*s)*s)*s**(3\/7))**(1\/6) assuming s is positive.\nAnswer: s**(-13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 23.15. Let j = 0.1413 + 2.8587. Which is the smallest value? (a) j (b) u (c) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + 0 + (sqrt(2) - sqrt(450)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.6 - 0.7. Let p = l - 3.9. Let h = p - -3.99999997. What is h rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2335, 4660, 6961, 9226, 11443, 13600, 15685?\n\"Answer: -2*d**3 + 2339*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 3:11 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*r**5 - 93*r**4 - 4*r**3 - 236*r - 36 wrt r?\nAnswer: -60*r**3 - 1116*r**2 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2628 and -109\/1098?\nAnswer: 160308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2761, -5525, -8289, -11053, -13817, -16581?\nAnswer: -19345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 182930 rounded to the nearest one thousand?\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4*b + 5 = 0. Let s = 147241 - 39018966\/265. Let w = s - 1\/53. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z + 4506 = -2*s + 4484, -8*s = -4*z - 52 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/5 (b) -0.5 (c) -40.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*l - 0*l. Suppose l*n - 10*n = -956. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -f**5\/20 - 11*f**2 + 2. Let k(v) = -4*v + 9. Calculate k(z(l)).\nAnswer: 12*l**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrpv when four letters picked without replacement from {r: 1, v: 2, k: 1, y: 1, p: 2}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76.8 + -81. Let d = 26214935.80000025 + -26214940. Let f = s - d. What is f rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**4 + 0*g + 0*g)*(24 + 8 + 1).\nAnswer: -66*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-5 - (-11 + 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4944651692 and -50.\nAnswer: 4944651642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-2)*(-2 + 1). Suppose 3*x - 2*c + 7 = 0, x - 36*c + 9 = -37*c. Sort 3, 0, n, x.\nAnswer: x, 0, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 0 + 5*s**2 - 85*s + 88*s + 0. Let h(n) = 6*n**2 + 3*n. What is -5*g(d) + 4*h(d)?\nAnswer: -d**2 - 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 879967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1100902 times 0.373\nAnswer: 410636.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20\/43, 57, -0.5 in ascending order.\nAnswer: -1, -0.5, 20\/43, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 1698 divide 115554280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -142 and -132 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*t = 4*u - 177, 152*u - 147*u = -4*t + 10*t - 9 + 36 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) -1\/7 (b) 4\/7 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642912 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35614 is divided by 17801.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 6*m + 7. Suppose 5*d = -4 + 29. Let x be k(d). Suppose -i + 171 = x*i. Is 19 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and -5.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z + 2*z - 3*z**5 + (4*z - 4*z + z**3)*(893*z**2 - 277*z**2 + 153*z**2) - 2*z**2 + 2*z**2 + 3*z**5.\nAnswer: 769*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.05 + 9. Let o = a - 0. Let q = o + -0.15. What is the nearest to -2 in -1, -0.1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j*j\/((j**(-16)*j)\/j)*j**6 assuming j is positive.\nAnswer: j**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1522997 centuries to years.\nAnswer: 15.22997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*n - 61, -4*n - 5*l = -4 - 58. Suppose 0 = -11*i + n*i. Let c = i + 16. Solve g = 5*g + c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*y = 43*y + 6677. Let c = y + 617. Solve c*f - 20 = 5*f, 2*p - 20 = -3*f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 - f. Let c(i) = -2*i**2 - 5*i + 3. Let y(r) = c(r) - 3*l(r). Let d be y(3). Let o(q) = -q**3 + 5*q**2 + 5*q + 8. Is o(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/4)\/((-322)\/644).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 401\/180 or 11?\nAnswer: 401\/180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 167*r**2 - 4998*r + 803. Determine i(128).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-112)\/42)\/4*(-243)\/225*-5.\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-14))\/(2\/7). Solve -q - 5 = -a*m, -20 = -18*m + 13*m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 3*k - 8. Let a be h(4). Suppose x + a - 29 = -5*i, 0 = 4*x. Sort 2, -2, i, 4.\nAnswer: -2, 2, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 4 + 4. Let p(y) be the second derivative of -y**6\/180 - 5*y**4\/3 + 15*y. Let b(j) be the third derivative of p(j). What is b(d(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*sqrt(136)*-3)\/(sqrt(288)*4) + -4.\nAnswer: -8 - sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 1 (c) -12847 (d) 0.4 (e) 521\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 44207?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*z = 332*z - 2195 - 3910 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - x + 5*x - 18, 5*x = -2*t - 10. Let l be (2 - (t - 2)) + -2. What are the prime factors of (-374)\/(-14) - l\/(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 19415*j**2 - 46*j - 5167. Let a(s) = 3236*s**2 - 8*s - 861. Let l(z) = -23*a(z) + 4*k(z). What is the first derivative of l(g) wrt g?\nAnswer: 6464*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:21 AM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3472.44us in nanoseconds?\nAnswer: 3472440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/19776 and 53\/24102.\nAnswer: 771264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 0*v + 2*v)*(-1 + 1 - 4)*(8*v + 8*v + 25*v).\nAnswer: 328*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 752 and 83096?\nAnswer: 166192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 2:20 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -19. Let j = 3 + o. Suppose 0 = 3*k - 5*f - 29, -16*f + 18 = 2*k - 19*f. Put j, k, 4 in increasing order.\nAnswer: j, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/35 - 23\/(-7). Suppose -b*p + 73 = 16. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 56*r**2 - 37*r**2 - 23*r**2. Let y(z) = 5*z. Calculate n(y(h)).\nAnswer: -100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 15*t**2 + 21*t - 70. Let u be p(-16). Let o = 156 + u. Calculate the highest common factor of o and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 2 n when four letters picked without replacement from {z: 5, v: 1, s: 1, n: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 + v + 1. Let i be r(2). Put i, -4, -2 in ascending order.\nAnswer: -4, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 169\/1416 + 1\/177. Let o = 1.4267 + -1.2267. Let q = 0.5 - 5.5. What is the closest to -0.2 in o, n, q?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 5*h + 6, -3 = -3*g + 3*h - h. Calculate the greatest common factor of g and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b = -28*b + 1575 - 795. Calculate the remainder when b is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*c - 4*c + 12*c.\nAnswer: 124*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1373*t + 7614 - 749 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11.54 + -11.94. What is the biggest value in 0.3, 4\/15, l, -2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.7246 to 1 decimal place.\nAnswer: 70.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -14 + 9 + 17 + (-2 - 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 9*o - p + 16, 4*o + 4*p = 0. Suppose y - 5*u - 10 = 0, 4*y + o*u - 50 = -10. Let j(b) = -2 + y*b**2 - 2*b - 13*b**2 + 1. Give j(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 1 + 3*m + 2*m. Let p(s) = -s**2 - 9*s - 4. Let h(j) = -p(j) - 2*q(j). Let d be h(-7). Is d at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -888301*a - 878366*a + 17 - 18. Let k be n(-3). What is k rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -30*u - 295. Let l be y(-10). Solve -x = 4*f + 22, -6*x = -8*x - l*f - 29 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(s + 3 - 3) - 284*s + 2 - 2.\nAnswer: -282*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-3))\/((-5)\/(-3)))\/((-726484)\/(-382360))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 31*i**2 - 84*i + 7. What is s(-28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53 - 51. Let m(i) be the first derivative of 0*i + j - 1\/2*i**2. Let d(o) = o**2. Determine d(m(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/1450548 and 127\/32670?\nAnswer: 7252740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 - (1 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + j + 2. Let u = -2 + 5. What is the derivative of -j + v + u*v - 2*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 245080 + 364652 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.95 + 0.05. Let b = 8 + -11. Let q = -2 - b. What is the second smallest value in 0, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.048 > 1.337?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 293598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -680 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/5 - 3939*q\/5 + 3944.\nAnswer: -(q - 5)*(q + 3944)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - p - 2309 = 0, -3*p + 2299 = -4*k - 2*p. Is -572 >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(132) + sqrt(132)*2))\/(sqrt(216)\/sqrt(2)).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.071929625 to 4 decimal places.\nAnswer: -0.0719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 1 + -27 - 17.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**3 + 4*i**2 + 3*i + 2. Let t be k(-2). Let r be (-8)\/(-3)*t\/(-8). What is the highest common factor of 20 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 39*i**2 + 9*i - 83. Let j(z) = -20*z**2 - 4*z + 41. Let r(f) = -9*j(f) - 4*v(f). What is the derivative of r(k) wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27.98 - 0.98. Let f = a - 59. Are -1\/4 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64266939 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -27) + (-6 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 94?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19885 * -3329.\nAnswer: 66197165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 10 - 2)*(2*h**5 - 1 + 1).\nAnswer: -20*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010579 rounded to 6 decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 + 3*v. Determine r(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r. Suppose -6 - 10 = -4*q - 4*d, -2*q = d - 10. Suppose 15 - 3 = q*k. Let g(m) = m + 4*m + k*m - 8*m. Give g(v(n)).\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 3. Let r be y(0). Let g(o) = 4*o**2 + o - 1. What is the units digit of g(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 1. Let c be i(1). Suppose 4*b - 48 - 132 = c. Suppose -5*f - b = -180. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b6d (base 14) in base 15?\nAnswer: a03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.1 (b) 8 (c) -1\/3 (d) -3.27 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1820232 and 21303?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.040977 - 0.0519\nAnswer: -0.092877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 10 = -10. Let d be (m - 1)\/3*-8. Let b be (d\/10)\/(1\/5). Round b to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*24\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8137, 25610, 43083, 60556?\n\"Answer: 17473*p - 9336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/120)\/((-12)\/(-16)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*i = -3790 + 4232 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36.8 - 37. Let i be 2449\/790 - (-2)\/(-20). Which is the smallest value? (a) i (b) -0.1 (c) -1\/3 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 36 = 12*n. Let t = -7 - -4. Let s = t - n. Solve h + s = -2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 (base 10) in base 6?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 330 from 0.05.\nAnswer: -329.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + 0.1. Let l = 33\/37 + -25\/111. Sort t, -3, l, -1\/3 in decreasing order.\nAnswer: t, l, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 46260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 511098, 511844, 512600, 513372, 514166?\nAnswer: 514988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 n when two letters picked without replacement from {g: 1, n: 3, l: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n**2 - 50*n**2 + 5*n**2.\nAnswer: -41*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/4 (b) 0 (c) 0.09 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (49 - 31 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14836355939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 + 396457*b + 4360906 = 0. What is b?\nAnswer: -396446, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 463 - 127. Let w = z - 290. Sort w, 2, -1 in ascending order.\nAnswer: -1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - -12. Is q a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -660*i**3*m + 2*i**2*m + 141*i*m wrt i.\nAnswer: -3960*i*m + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.3, 0.04, -3, 3506?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1133133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-8)*18\/(-27)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 12.68. Let m = 3.02 + k. Let j = 3 - m. Which is the second smallest value? (a) -1 (b) j (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(1\/4))**(-21)*(p**(-1\/2)*p)**(-42) assuming p is positive.\nAnswer: p**(-189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24849288 and 3967?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1649.59 + -1649.664179. Round l to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5132*t**2 + 26860*t\/3 = 0?\nAnswer: -6715\/3849, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 45 + -17 - (-1 - 4)) + -4.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-9) + 366\/(-54). Let v(i) = -i**3 + 6*i**2 - 7*i - 7. Is v(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let y(z) = -5*z**2 + 5*z - 5. Let n(d) = -3*d**2 + 2*d - 2. Let w(t) = -15*n(t) + 6*y(t). Give w(l(p)).\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 459244109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 42, 53, 66, 81?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {j: 2, d: 4, a: 1, p: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -146*h**2 - 62*h + 20. Let f(v) = 2*v - 2. Let i(x) = 20*f(x) + 2*t(x). What is the second derivative of i(s) wrt s?\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00050977148 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*(t\/(t**(2\/9)\/t*t))\/t*t))\/t)\/(t\/((t\/t**3)\/t*t)))\/(t**(-1\/3))**(-28\/9) assuming t is positive.\nAnswer: t**(-157\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 192971100 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 110102010111012 (base 3) to base 8\nAnswer: 31123374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 331, -1, -4, 5 in ascending order.\nAnswer: -4, -1, 5, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10751 - 10751 + r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7244 + 5123 = 503*k - 8256 for k.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 1. Let k(l) = l**2 + 2. Suppose -g + n = 4, -44*g = -45*g + 5*n - 8. Calculate g*k(x) + 6*s(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3828 (b) -6 (c) -5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 1. Let g be i(3). Put -3, -4, g, 4 in descending order.\nAnswer: g, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (34 - 12) - 11) + 4 + -41?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 23. What is the derivative of 6 + 3 + y - 24 + 11*a wrt a?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/1)\/((-8)\/808)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33139979 divided by -1?\nAnswer: 33139979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -o - 8*o. Solve -4*k - 5*x - o = k, -2*k = -x + 10 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.008 * 0.5.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2*1) + -3. Let o = -1 + 2. Let h = o + p. Which is the smallest value? (a) 1\/2 (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12067.\nAnswer: 11, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/(w**(7\/2)*w))\/(w**(-2\/5)*w**(1\/9)) assuming w is positive.\nAnswer: w**(-349\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.45*4516.\nAnswer: -236864.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(44) + sqrt(132)\/(1*sqrt(3) + sqrt(3)))\/(1*sqrt(32)\/sqrt(8)).\nAnswer: -2 + 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3912 + -1353. Let -v*z - 10648 + 21435*z - 251*z**4 - 9944*z**2 + 107*z**4 + 4*z**5 + 378*z**3 + 824*z**3 + 654*z**3 = 0. What is z?\nAnswer: 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0 = -4. Let u be (-884)\/91 - n\/(-14). Let x = 41\/4 + u. Which is the closest to -1? (a) x (b) -0.5 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*f + 179 = -4*x - 0*x + 16*f, -118*f + 116*f = -0*x - 3*x - 21 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4)*(l - 3 + 1 + 3*l)*(l - l - l).\nAnswer: -16*l**2 + 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -24521*y + 171681. Calculate p(7).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 8:43 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 225\/(-100) + (-1)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534 and 63013246?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (sqrt(5103)*-2)\/((sqrt(63) + sqrt(252)\/sqrt(4))\/sqrt(7) - sqrt(9)) + 0 + 1.\nAnswer: -18*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/2 - 410055*y\/4 - 102513\/2.\nAnswer: -3*(y + 68342)*(2*y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 214788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/36*6*18\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 2*z - 2, -25*m = -27*m + 2*z + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at most 0.258168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7.303 smaller than -3.9099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u**2 + 20*u**2 + 5 + 0*u**2 - u**2 + 6*u + 2. Let v(c) = 10*c**2 + 5*c + 6. What is 5*g(h) - 6*v(h)?\nAnswer: -5*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.28, -0.1, 2\/15, 0.5, 22?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59423 + 118832 - 59409 - 831*z.\nAnswer: -831*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -462 - -931. Let q = w - 474.34. Round q to 1 dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-two fifteenths of a hour?\nAnswer: 5280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -9807\nAnswer: -19614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 15*g + 4. Let a(l) = l - 1. Let u(x) = 2*x + 7. Let m(n) = 5*a(n) + u(n). Calculate 9*m(f) - 4*z(f).\nAnswer: 3*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 80*w**2 + 3*w - 2. Is 11 a factor of u(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a gram in milligrams?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21*v**4\/4 + 14319*v**3\/2 + 2046*v**2.\nAnswer: -3*v**2*(v - 1364)*(7*v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 4*d**2 - 6*d - 5. Let v = 3 - -1. Suppose 2*h = -4*y - 20, 0 = 4*y - 3*y + v*h - 2. Let g be (2 + y)\/(-4) + -6. Determine z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x - 2*x + 17*x as a + b*x and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0 = -2. Suppose -1 + 7 = d*f. Put -4, f, 1 in descending order.\nAnswer: f, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 3:19 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2 + 7*v + 15. What is d(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 3)*(-2*r - 2*r + 2*r) + (r + 3*r - 2*r)*(3 - 3 - 1) to the form i + h*r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.32 + -128.32. Let w = 115.8 + v. Round w to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2*sqrt(85) + sqrt(85)))\/(sqrt(160)\/sqrt(2)) + (-4*1*sqrt(425) - sqrt(425)) + 5.\nAnswer: -97*sqrt(17)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 25*a**2 - 81*a + 71. Let m be s(28). Which is greater: m or 0.19?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34439299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -723, -3539, -10699, -24375, -46739?\n\"Answer: -362*n**3 - 282*n - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 655 and 11004?\nAnswer: 55020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 828, 3719, 8670, 15681, 24752?\nAnswer: 35883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186 - 181. Find the second derivative of -4 - 105*d**5 - 3*d + 106*d**y + 0 wrt d.\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 658140 or 658143?\nAnswer: 658140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -338, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 51*c**3 + 5316*c. Let b(a) = 9*a**2. What is b(v(i))?\nAnswer: 842724*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 5, 4, -1, -10, -23?\n\"Answer: -2*v**2 + 9*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -4, 48, 168, 374, 684?\n\"Answer: 3*b**3 + 7*b**2 - 40*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l - 5049 = 7*l. Suppose -20*c + 381 = -l. Let q be (0 + -2)*3\/(-2). Calculate the greatest common divisor of c and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75441830?\nAnswer: 2, 5, 1217, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1686 (b) -4 (c) -97 (d) -6 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 2795 divide 30535375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(-2 + 0 + sqrt(19)).\nAnswer: -5*sqrt(19) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (476\/252)\/(31\/279)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 1. Let b be c(-1). Factor -b*j**3 + 2*j**3 + j**2 - j**3.\nAnswer: -j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 733, 6, -3 in ascending order.\nAnswer: -3, 6, 733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/176*12*-122)\/3\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - -16. Let t = 38 - h. Let c be 24\/8 - (t - -7). Sort c, -9, 5 in increasing order.\nAnswer: -9, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 926\/1389*(23\/2 + -1). Solve b = 14*t - 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r = -3*r. Suppose -5*d + 3*d = -2*a + 6, d - 5*a + 23 = r. Find the third derivative of 3*u + u**2 + u**3 - u - d*u wrt u.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 172110883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*k - 21 + 21 in the form m + w*k and give w.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s. Let f(g) = 19*g**2. Calculate z(f(t)).\nAnswer: -114*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/3)*s**(-1\/2)*(s\/(s\/(s*s**(2\/7))))\/s**(-2)*(s\/s**(-1))\/(s\/s**(-1))*(((((s*s**(-3\/5)*s)\/s)\/s*s)\/s*s)\/s)\/(s*s\/(s**3*s*s)) assuming s is positive.\nAnswer: s**(1439\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.48, -25, -1, 2\/5, -5 in decreasing order.\nAnswer: 0.48, 2\/5, 1\/4, -1, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 18*v + 4. Suppose -6*q - 161 = -9*q + 199. What is the remainder when q is divided by d(7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - y = -4. Let w(r) = -212*r + 11 - 3 - 4 - 5. Is w(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 12*f**2 - 26. Let p be r(12). Let i = 36 + p. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/24 and -61\/95177589.\nAnswer: 761420712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from cnnn?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-15) + (-19)\/(-3). Suppose 2*s = t - 2. Suppose -s*r = 2*r - 56. Solve 5*u = r + 11 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 23535*s**2. Let o(b) = -b. What is o(k(a))?\nAnswer: -23535*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2*t - 2*t)*(235 + 246 - 463) + 68*t + 180*t + 2*t to the form l + v*t and give v.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3370162194 to the power of 1\/3, to the nearest integer?\nAnswer: 1499","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 557 + -556.9. What is the nearest to w in 0.3, 0.6, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(7\/35).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**3 - 14*z**2 + 144*z + 947. What is n(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -662555 - -4?\nAnswer: -662551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -34, -47, -60?\n\"Answer: -13*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 6*g - 6. Let j be w(-4). Suppose 3*f + n + 7 = -f, 3*n - 5 = f. Let x be j + (-2 - -10) + f. Solve 5 = o - p, x + 3 = -5*o - 4*p for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -103 + -0.15711.\nAnswer: -103.15711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29664\/2448 + (225\/(-18) - (-4)\/8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135008741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**3 - 406*o**2 + 560*o - 6330. What is s(80)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 280, -5, 3\/8, 5, 12 in ascending order.\nAnswer: -5, 3\/8, 5, 12, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 49090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -80, -1, 0.1?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8635*c. Let x(v) = 29*v**2. Calculate m(x(o)).\nAnswer: -250415*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 56232.49 micrometers?\nAnswer: 0.05623249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.2, -0.05, 5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -274\/61 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4638, 18505, 41590, 73893, 115414?\n\"Answer: 4609*t**2 + 40*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -13*u**6\/27 - 254*u**5\/45 - 133*u**4\/6 - 842*u**3\/27 - 88*u**2\/9 + 32*u\/3 + 4230. Solve c(j) = 0.\nAnswer: -4, -1, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/13, 0, -0.005?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of 50625*w**7\/14 - 11475*w**6\/2 - 3240*w**5 + 13920*w**4 - 13312*w**3 + 6144*w**2 - 353*w. Factor t(u).\nAnswer: 3*(u + 1)*(15*u - 8)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 3*f - 4*l, 3*l + 4 = -5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 29739207 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 772 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 52457?\nAnswer: 577027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -25 (c) 0 (d) 0.05442\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -7*m**2 - 10*m + 363. Let q be p(-8). Let w(i) = -i**2 + 34*i + 191. Calculate w(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-9) - (-166)\/6. Is 2073\/v + 6\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1938, -2587, -3670, -5187?\n\"Answer: -217*x**2 + 2*x - 1723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 259392 and 74112.\nAnswer: 518784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 - (-8)\/3. Suppose 0 = x*h + 25 - 215. List the prime factors of h.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2*h + 2*h)*(99*h + 60*h + 71*h + 138*h).\nAnswer: -368*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 646 + -345. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12301034 (base 5) in base 16?\nAnswer: -1d06e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -8*v - 8. Let c be d(8). Let r = 10131 + -10133. Is c >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-2\/41)*k)\/k*k\/k**6*k)**(-8) assuming k is positive.\nAnswer: k**(968\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3656374 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: Let d(i) = 2134*i**2 - 6*i + 4. Let r(h) = -2*h**2 - h + 1. What is d(n) - 7*r(n)?\nAnswer: 2148*n**2 + n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6)\/(-2)*123\/(-82)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 + 4*l**2 - l**2 - 6*l**2 + 2 - 2 + (0*l + 0*l - 4*l)*(4*l + 2*l - 4*l) + (2 - l - 2)*(3*l + 0*l - 4*l) to b*l**2 + v*l + t and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*171\/(-24))\/((37674\/2760)\/(-91)).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 231859081 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 - 0)*4)\/(12\/(-8)). Let u = -402 + 789\/2. Is u smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 5*t**2. Let m(u) = 4*u**2 + 3*u. Suppose -2*q + 3*q = 6. Let h(w) = w**2 + w. Let s(p) = q*h(p) - 2*m(p). Suppose -1 = -b - 4. Give b*i(f) - 7*s(f).\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*y - 3*y - 28, -2*y - 27 = -5*s. Suppose -25 = -3*k + 5*n - 1, -4*k - s*n - 3 = 0. Which is the closest to 0.1? (a) k (b) -5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**2 + 3*r - 10. Let d be o(-4). Does 2 divide 5\/d*(3 - -15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 368*j. Let x(u) = 4*u + 15. Let y(c) = -c - 5. Let t(w) = x(w) + 3*y(w). Calculate p(t(m)).\nAnswer: 368*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 229\/5 + (-6)\/(-30). Suppose -2*f = d - 123, -134 = -3*f + 3*d + m. Calculate the remainder when f is divided by (-7 + 6)\/(1*1\/(-21)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-2\/11)*s)\/s)\/(s**(1\/5)*s))**(19\/7)*(s\/(s**(-5)*s)*s**(-2))**(30\/11) assuming s is positive.\nAnswer: s**(393\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 5*i**4\/12 + 4*i**3\/3 + i**2. Suppose 20 = 5*u - 3*v, 7*u - 2*u = 5*v + 10. What is the remainder when w(u) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -53*g + 5. Let r(h) = -51*h + 2. Calculate 4*f(x) - 10*r(x).\nAnswer: 298*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 2 + 23 = -4*a, 0 = g - 3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1864613 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9025387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*j - 346*j - 545*j - 1051 = -144*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(1216) - (sqrt(1216)*-1 + sqrt(1216))) + -1 - sqrt(1216)))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**2\/3 + 14200*j\/3 = 0. What is j?\nAnswer: 0, 7100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7808068 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = -0, 1209 = k - 4*h. Suppose -4*z + 1627 = -k. Suppose 2*x - 6*x + z = 0. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -28, 0.3, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((-57)\/570)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 4581*t + 119009. Determine p(-26).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 2*s - 24, -3*z + 0*s + 18 = 3*s. Suppose -p = 2*l - 107, -290 = -5*l + z*p - 2*p. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 1. Let p be u(-2). Suppose s - 41 = 4*r, -s + 6*s - p*r = 160. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 3, y: 7}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 10 = v. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/9*-12*(-1)\/(-10).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -22*n - 176. Let r be i(-9). Let c(x) = x**2 + 4*x - 3. Let a be c(-7). Let b = r - a. Solve b*z - 22 + 6 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16794.759 + 36.674618.\nAnswer: -16758.084382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -14700 + 1903544797\nAnswer: 1903530097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 9. Let g(r) be the first derivative of -1\/4*r**2 - 2 - 7\/20*r**5 - r**k - 11\/12*r**3 + 0*r. Solve g(u) = 0 for u.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -38 - -211. Suppose -13*b + x - 69 = 0. Calculate the remainder when 12 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24347114?\nAnswer: 2, 11, 1106687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2724811 is divided by 908232?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4*(-3 + 33\/6). Let b(i) = -5*i + 2. Let p be b(-3). Let f = w + p. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2.44 (b) 5\/6 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - -1*sqrt(1800))\/(sqrt(18)\/sqrt(2)*-6).\nAnswer: -11*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -31*u - 6. Let h(v) = v**3 - 6*v**2 + v - 4. Let f be h(6). Let s be l(f). Let n = s + 95. Is 16 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -29*p**3 + 58*p - 3. Let f(h) = -2*h. Give q(f(s)).\nAnswer: 348*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 take away -6.672?\nAnswer: 372.672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*t + 12*t + 8138. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 435442 (base 6) in base 16?\nAnswer: 8d92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14362, 14297, 14200, 14053, 13838?\nAnswer: 13537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.3623071 and -0.2.\nAnswer: 0.27246142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 69.3 - 19.3. Let y = o + -55. Let j = 2.4 - 1.4. Which is the second smallest value? (a) y (b) 1\/6 (c) j (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6*j**2 - 2*j + 7. Let v be -3*320\/(-45) - (-2)\/3. Let d(g) = v + 7 + g - 32 - 3*g**2. Calculate -9*d(z) - 4*s(z).\nAnswer: 3*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 5*i = 2*i + 3, -2*i + 2 = -3*z. Let w = 0.06 + 0.14. Suppose 2*j - j + 4 = 0. Which is the nearest to z? (a) j (b) -1\/2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:55 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75 or 1\/3354409?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.8 - 14. Let q = 1.7 + r. Let m = -0.05 + -0.05. Put -0.2, m, q in decreasing order.\nAnswer: q, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -661 (base 9) in base 4?\nAnswer: -20131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 56065.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 421, -4, -5 in decreasing order.\nAnswer: 421, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f = -3*f - 12. What are the prime factors of 75 - (0 + 5 - f)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -31. Let n(u) = -u**3 + 11*u**2 - 9*u - 2. What is n(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 8*d**2 + 1. Let p be m(-1). Let t be -2 + (-3)\/(p\/(-6)). Let f be (-6)\/(-52)*(-8)\/(-6). Put -4, f, t in ascending order.\nAnswer: -4, t, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0184 - 3.7516. Let t = r - 0.23. What is the closest to 1\/3 in t, 2\/9, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72226 - 2067600086.\nAnswer: -2067527860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*b)*(0*b - b + 3*b) - 71*b**2 + 24*b**2 - 21*b**2.\nAnswer: -64*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**22)\/(r\/(r**(-25)\/r)))\/((r\/(r\/((r*r**(-5\/7))\/r)))\/r**7))**(-8\/7) assuming r is positive.\nAnswer: r**(2256\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -226994888 * -0.5\nAnswer: 113497444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**3 + 26*d**2 + 25*d + 10. What are the prime factors of p(-11)?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 75939256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 17 = 1. Let v(n) = -n. Let i(s) = -s**3 - 7*s**2 + 7*s. Let j(r) = -i(r) + v(r). Let f be j(o). Solve f*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -72?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4410*2.4.\nAnswer: 10584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -325*t**3 - 90*t**2?\nAnswer: -1950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*k + 0 - 7 = 0, -k + 7 = 5*q. Let p = 236 - 218. Calculate the highest common factor of p and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 2*w**2 - 5*w + 6. Let o be f(4). Factor 30*r - 14*r**2 - 18*r + o*r**2.\nAnswer: 4*r*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - f + 49. Let w be 6\/(-10) - 63\/(-5). Let v be 0*(-2)\/w*2. Is k(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 587 + -3*(-14)\/(-7).\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/553896 and 17\/79128.\nAnswer: 553896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 132496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*t**3 + 0*t**3 - 4*t**3)*(380 - 929 - 159)*(-3 + 2 - 2) to m*t**3 + d*t**2 + b + a*t and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -105137, -105055, -104975, -104897, -104821?\n\"Answer: -w**2 + 85*w - 105221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, q: 1, j: 4}. Give prob of picking 2 g.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (1 - 7) - (11 + 2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -121 + 20 + -19 + 25 - 14?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -948.18+0.3\nAnswer: -947.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 30 + -25. Let i = t + 18. Suppose i = c - 3*s, -4*s - 38 = -c - 10. What is the least common multiple of c and 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvb when three letters picked without replacement from {b: 3, v: 12}.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(931) + 2 + 2*sqrt(931)) + -5.\nAnswer: -105*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*p - 2 = -68*p + 88 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dduddu.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16157 and 302.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 37, 82, 127, 172, 217?\n\"Answer: 45*y - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 58\/3 of a hour?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(200)\/sqrt(4) + (sqrt(72))**2.\nAnswer: 5*sqrt(2) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*a + 22, -d - d + 28 = 4*a. Suppose d = z + z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401697 is divided by 111.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 3*c**2 - c**2)*(1374 - 2262 - 377 - 4130).\nAnswer: 10790*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 903297755 and 1390?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6570113947?\nAnswer: 17, 379, 1019729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggqq when four letters picked without replacement from {q: 2, g: 5, y: 2}?\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u**2 + 360*u - 7794. Give g(92).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(2\/31))\/(m*m*m**(8\/3)*m))**(-1\/14) assuming m is positive.\nAnswer: m**(335\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a30 (base 15) to base 4.\nAnswer: 30322320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131331210202 - -3?\nAnswer: -131331210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/5 + 4743\/(-5355). Which is the nearest to -4? (a) 3 (b) -4 (c) 1\/5 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 166*l - 11123. Give n(67).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 815698.8 millennia to centuries.\nAnswer: 8156988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 - (-35)\/7. Suppose 2*i - 170 = -y*i. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 57?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -7. What is the nearest to 2 in 2\/5, 1\/4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7161 by -33.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 24959568203 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 + 27*p**2 - 125*p - 6. Calculate the remainder when 123 is divided by l(-31).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1 - 5*x**2 - 7*x - 3 + 0 - 4 + 4*x. Let p(c) = 15*c**2 + 8*c + 17. What is -4*p(n) - 11*u(n)?\nAnswer: -5*n**2 + n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2560 = -69*z - 9*z + 21*z + 25*z for z.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15335*c**2*h + c**2 - c*h + 71*h - 52 wrt c?\nAnswer: -30670*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 12*j**2 - 11*j + 32. What is the smallest common multiple of 8 and z(-13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7901016 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1525.85 kilograms to micrograms.\nAnswer: 1525850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 40 = -5*z - s, z - 27 = -4*s. Suppose z*t = 15*t - 120. What is the lowest common multiple of 9 and t?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -35*h**2 + 1967*h - 1944. Let d(i) = 205*i**2 - 11800*i + 11665. Let m(w) = 6*d(w) + 35*x(w). Factor m(z).\nAnswer: 5*(z - 390)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 3*x + 6, 6606*w = 6611*w - 5*x for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76*((-435)\/(-60))\/29.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 430 and 3354?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -311*u + 38.\nAnswer: -311","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-6762))\/((408\/(-336))\/17)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14273 and 14273.\nAnswer: 14273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 o when two letters picked without replacement from odcbdcooojnnood?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -12.79. Let v = 299 + -867. Let x = v + 568. Is j at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vavaoovzva. What is prob of picking 1 o and 2 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 348309 and 14703.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 6*x + 571 = x, -2*u - 275 = -x. Let b = 87 - u. Is b + -3 + 0\/6 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 476, 682, 614, 272, -344, -1234, -2398?\n\"Answer: -137*j**2 + 617*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 183354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 12:18 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*i + 2299 = 179*i for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122 or 118?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 238239983 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 9*j - 9. Let k be g(-9). Let f(r) = 2*r**2 + 11*r - 12. Let s be f(k). Let c = s + -32. Calculate the highest common divisor of c and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118427*k**2 - 25474*k**2 + 13106*k**2 - 58411*k**2.\nAnswer: -189206*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1155\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 350 = 4*p. Let f = -37 + p. What is the greatest common factor of 14 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14723 at least -15376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*p**2 - 45*p**2 - 33*p**2 + (3*p**2 + 3 - 3)*((2 - 3 + 2)*(3 + 2 - 6) - 222 + 120 + 52) to k + q*p**2 + r*p and give q.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.83 and -0.00086.\nAnswer: -1.83086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 4*j**2 + 2. Let x be (2\/6)\/(39\/468). Let r be u(x). Are r and 36\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-2\/7)*x)**36 assuming x is positive.\nAnswer: x**(828\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67599 and 23229?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 8, -13 in decreasing order.\nAnswer: 35, 8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3150 divided by 630\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**5\/6 - l**4\/2 + l**3 + 5*l**2\/3 - 7*l\/2 + 3\/2 = 0. Calculate l.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1004*d. Let w(f) = -f. Determine v(w(j)).\nAnswer: -1004*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = -3*g - 8, i - 2 = 2*g. Is (i - 57*-2)\/(2\/29) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.306 + -0.30457. What is s rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**2 - 65400*r - 8786645.\nAnswer: 5*(r - 13213)*(r + 133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60318 divided by -54.\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/2790768 and 89\/225780.\nAnswer: 990722640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -682522\/21 or -32501?\nAnswer: -32501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*s + 53. Let u(b) = -b**3 + 15*b**2 + 3*b + 2. Calculate the remainder when u(15) is divided by s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3168\/(-1272))\/(-66))\/(-4 + 3\/(-3) - -4)?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -12. Let k = -553 - -388. Let i be 11*(-3)\/(k\/10). Solve 2*b = 3*b + 5*x + i, -4*x - 16 = -d*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -58. Let r be (1 - l)*(-48)\/(-40). Let y(o) = -36*o - 13. Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 25. Suppose a*l = 5*l - 15. Solve -l*r = -4*s - 2*r + 3, 3 = -3*s - r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2805005 and 492307?\nAnswer: 120615215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 2850*i**2 + 3*i + 2850.\nAnswer: -3*(i - 1)*(i + 1)*(i + 950)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 1 - 1 + (-3 + 0 + 2)*(-3*r + 4*r + r))*(6377*r**3 - 6377*r**3 + 7*r - 63*r**4).\nAnswer: 252*r**5 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 10:24 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*f, -3*r + 2*f = -2*f - 4613. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 284070122 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 4*b - 100, 0 = 12*l - 17*l + 4*b + 116. Let j be (13\/(546\/l))\/(-17). Are j and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - w**2 - 4*w - 143. Determine s(-7).\nAnswer: -507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -1\/2, -0.06, -8, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 36 in 2\/9, -1.63, -0.1, -1\/8, 10.2?\nAnswer: 10.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o**2 + 14*o**2 + 18*o**2 + 2*o**2.\nAnswer: 26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 31*f + 68. Let c be u(-13). Solve 22 = c*s + 13 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0318624 * 0.3.\nAnswer: 0.00955872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/6)\/(6\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -68 + 6. Let w = 62.71 + i. What is w rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4*u + 6. Let d(v) = 9*v**2 + 245*v + 65. Let k be d(-27). Let c(g) be the first derivative of 7*g**2\/2 - 11*g - 4. What is k*h(b) + 6*c(b)?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05*12.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 65.0758s?\nAnswer: 65075800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 67\/((((-23520)\/108)\/56 - (-1)\/(-9)) + 3)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88278607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 36. Let g(n) = -10 - 4*n**o + 2*n - 4*n**3 + 5*n**3 + 3*n. List the prime factors of g(5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1495 + 70148?\nAnswer: 71632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.2 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19441227 - -31718251. Suppose 3*g = 4*v + 18415536, -v = -2*g - 0*g + i. Let y = g - 3838512. Round y to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*x + 361*x = -17947952. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 - 21*n + 11. Let t be o(10). Solve 0 = 3*c + l + t, 0 = -3*l - 2*l - 20 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - s**2 + s - 2. Let i be q(-2). Let j = 21 - i. Suppose 33 = 3*c - 2*y, y = 3*c + 7 - j. Calculate the remainder when c is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423, -793, -1163, -1533, -1903, -2273?\nAnswer: -2643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*g**2*i**3 - 8*g**2 - 719*i**3 wrt g.\nAnswer: -132*g*i**3 - 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 34039 - 23*c - 33983 + 35*c. Give u(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65 and 37739?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) 38 (c) -4 (d) -3 (e) -5\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 120 + -25. Let f = w - 83. Calculate the smallest common multiple of 1 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2. Let i(w) be the second derivative of w**7\/2520 - w**4\/6 - 2*w. Let l(x) be the third derivative of i(x). What is l(j(r))?\nAnswer: 36*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 1 = 20*y - 27*y, y - 4*y = u + 6 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**20*c*c**29)\/(c**(5\/2)\/(c**(-22\/5)\/c)) assuming c is positive.\nAnswer: c**(431\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((156\/273)\/((-5)\/(-7)))\/((-15)\/(-450))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -101 - 24. Let z = -13 - a. Let w = -84 + z. What is the greatest common divisor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4247*h + 1515*h + 2733*h. Let k = -2 - -4. Let y(z) = -33*z + 3 + 1 - k. Determine y(f(t)).\nAnswer: -33*t + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1254 + -0.0056. Sort x, -4, -1\/4, 0.\nAnswer: -4, -1\/4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4.972? (a) -2 (b) 6 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 11:02 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-6*sqrt(21)\/sqrt(7).\nAnswer: -18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 83501*m**2 - 5*m + 8*m**3 - 83502*m**2 - 4*m**3 - 1 - 2*m**4 as c*m + k + z*m**4 + w*m**2 + o*m**3 and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -42*w - 2. Let h be p(3). Calculate the lowest common multiple of 12 and h\/(-9) - 2\/9.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/3)\/d**(2\/11))\/(d\/(d\/(d\/d**(-6)))*d\/(d\/(d**(-2\/11)\/d)*d)))\/((d*d**(-2\/9)\/d)\/(d**(-1\/2)\/d*d*d))**32 assuming d is positive.\nAnswer: d**(160\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(1 + 8 + -9). Let a be -1 + w + 4 + -5 + 4. Solve 0 = -2*z + 6*d - 2*d + 12, a*z - d = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -104 (base 14) to base 10\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 18348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -3.03, 4009, -0.04, -4\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-30) + 6\/(-4). What is the second biggest value in -0.375, 0.4, i?\nAnswer: -0.375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/45)\/(22\/(-66))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -9593*o**3 - 13*o - 13. What are the prime factors of r(-1)?\nAnswer: 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-36)\/(-12) + 0 + -1. Suppose -316 = -2*h - p*h. What are the prime factors of h?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.4, -1, 6\/7, 0.3?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -844424.\nAnswer: 1\/422212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 122*l**6 - 2*l**2 - 234 wrt l.\nAnswer: 14640*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(17)*1 + -3 + sqrt(34)\/sqrt(8))**2 - 6*(1 + sqrt(2448) + 1*sqrt(612))).\nAnswer: -117*sqrt(17) + 181\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 105986?\nAnswer: 5\/105986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 8, q: 5}. Give prob of sequence bbbq.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -498 - -499. Are z and 2\/31 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 359140\/779 - -61\/779. Let h = x - 461. Which is greater: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 3*s + 90 = -0*s, -90 = -5*u - 5*s. Suppose -a + 204603 = 2*n, -21*a + 306909 = 3*n - u*a. Round n to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -235\/23 greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (72 + -74)\/(10\/(-6) + -1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3583606, -14334563, -32252832, -57338419, -89591330, -129011571, -175599148?\n\"Answer: -k**3 - 3583650*k**2 + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 - -47. Let j = l + -20. Let g = -0.13 - -0.23. Which is the nearest to g? (a) j (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0635929094 + 24.\nAnswer: 23.9364070906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(153)*-1*5)\/(sqrt(9) + (sqrt(864) - sqrt(54))\/sqrt(6))).\nAnswer: -5*sqrt(17)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 4 - 7, -z - 3 = h. Suppose 5*m - 3 = 7. Let i(d) = -7 + 6 + 0*d + m*d. Calculate i(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 218933 bigger than 219050?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -53, 1\/6, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - -7. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3821.\nAnswer: 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b - 58. Let f be y(-15). What is the second derivative of 117*w - 121*w - 3*w**5 - w**4 + f*w**5 wrt w?\nAnswer: -20*w**3 - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 6*k - 9. Let o(h) = -h**2 - 2*h + 15. Let l be o(-6). Let g(q) = -q**3 - 9*q**2 - 6*q - 59. Let w be g(l). Give u(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32094 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i + 2. Let d be 576\/80 + 4\/5. Suppose -3*o = -d*o - 10. Let c(m) = -5*m**2 - 7*m - 4. Let p be c(o). Determine a(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*x = 3*n - 24, 2*n - 18 = -3*x. Let j(a) = 4*a**2. Does 72 divide j(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 14?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4*p + 14, 2*p - 9 = 4*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 27*f + 175. What is a(-29)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 5, 10 in ascending order.\nAnswer: -3, 0, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3.62 (b) 139 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 4*s**2 - 115*s. Let x(i) = -9*i**2 + 238*i. Let l(n) = 7*v(n) + 3*x(n). Suppose l(m) = 0. What is m?\nAnswer: 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 10 = 5*c. Let x(j) = -14*j**3 - 72*j**2 - 12*j + 3. Let h be x(-5). Solve n + d + h = 3*d, -c = -4*n - 4*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 - 425*f.\nAnswer: -5*f*(f + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*i**2 + 5660*i + 97500 = 0. What is i?\nAnswer: -15, 1625\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 16 - 135*t - 81*t.\nAnswer: -216*t + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 20*i + 25. List the prime factors of l(17).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -160, -56, -1, -2, 3, -14.\nAnswer: -160, -56, -14, -2, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + (sqrt(51)*2 - sqrt(51))\/sqrt(3))**2.\nAnswer: 6*sqrt(17) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 989*b**2 + 664*b**2 + 136*b**2 + 1013*b**2 - 314*b**2 to the form i + r*b + d*b**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**7\/840 + w**6\/120 + w**5\/60 - w**4\/24 - 13*w**3\/6 + 23*w**2. Let m(c) be the first derivative of o(c). Determine m(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 0.69117003948.\nAnswer: 0.39117003948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 2. Let p(o) = 4*o**2 + 8*o + 5. Let s(x) = -3*x**2 - 5*x - 1. Let n(q) = 1. Let t(w) = 2*n(w) - s(w). Let b(v) = 5*p(v) - 7*t(v). Determine b(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 3*v = 30. Let c(j) be the first derivative of -j**2 + 15*j + 23. Let u be c(v). Sort -3, 5, u in increasing order.\nAnswer: -3, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-4) + (-12)\/16. List the prime factors of 2 + (3\/s - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 91 + -289. Let p = 208.05 + t. Round p to 0 dps.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -287*k + 13779. Let p be w(48). Solve 4*x = -12, 19*x - 17*x + 6 = p*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*u + 30*u - 9216371. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 649.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 9656766.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -5532?\nAnswer: -5526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + (9 - 4) + -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12619947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -51, -107, -217, -399?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 9*q**2 - 4*q + 9. Is h(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202918 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1866 times -3059?\nAnswer: -5708094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 + 1194*j**2 + 2906*j?\nAnswer: -24*j**2 + 2388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 12*n - 14. Let z(o) = -o + 1. Let f = -1787 + 1759. Calculate f*z(s) - 2*g(s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 13 + 107 = 3*i, x = 4*i - 87. List the prime factors of i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-99)\/99)\/(2\/4)*(-28)\/(2352\/35)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -479 - 479 + 7*h + 958.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 26*r + 2*r.\nAnswer: -29*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-624)\/(-93)) - 14\/91?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -13*n + 5. Let t be v(1). Let b be (-19)\/(-6) + (-7)\/(-14)*t. What is the smallest value in -3, 2\/7, b, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence urar when four letters picked without replacement from aaaauraraarar.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 7*q - 2. Let f be b(-6). Suppose 37*s - 220 = 57*s. Let g(m) = -5*m**2 + 5*m - 1. Let i(x) = -14*x**2 + 14*x - 4. Determine f*i(w) + s*g(w).\nAnswer: -w**2 + w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*j - 5742 + 7470 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 300 = 6*h. What is the remainder when h is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/7731701 or 1?\nAnswer: -2\/7731701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 a when two letters picked without replacement from {a: 3, h: 2, r: 3, m: 2, x: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - m + m)*(-6451*m**2 + 6451*m**2 - 1192*m**3).\nAnswer: 2384*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 425 = 4*r + r. Suppose 2*a + 3*a = r. Solve 3*f - 2 = -a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.02, -397.682, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -349 divided by 8\nAnswer: -349\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(3\/2)*c**6\/c*(c**1)**(28\/5) assuming c is positive.\nAnswer: c**(101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -5*m**2 + 170*m + 9. Give y(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44.152 + -44.4. Let g = z + 0.648. Let n = -4.92 - 0.08. Which is the closest to 0.1? (a) g (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1105, -1259, -1507, -1843, -2261, -2755, -3319?\n\"Answer: y**3 - 53*y**2 - 2*y - 1051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/(-6) + 26\/(-6))*(-7038789)\/956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 8*x + 1. Let q be c(7). Let f = -93704 + 93713. Put f, q, -1, -2 in increasing order.\nAnswer: -2, -1, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4 = u, 2*i + u = 460. Let m be i\/44 + 1\/(-4). Suppose 0 = 3*n - 3 - 12. Solve -6*l = -n*l - m for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(13) + sqrt(1053) + -1 - (sqrt(143) - sqrt(143)*1)\/sqrt(11))*-1)**2*4 + 4)*-5.\nAnswer: -26040 + 400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 424 + -411. Let l = -13.04 + n. Let f(i) = -i**3 - 7*i**2 + 7*i - 6. Let a be f(-8). What is the nearest to -1 in a, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6*5 + 1 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -862*h**3 - 688*h**2.\nAnswer: -5172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of 3*m**6\/140 + 3*m**5\/35 + 2*m**4\/21 - 12*m**2 - m. Determine s so that i(s) = 0.\nAnswer: -4\/3, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -885 - -883. Sort -45, y, -3, 1.\nAnswer: -45, -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7637 (b) -11.87 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4140)\/(-46))\/18)\/(4\/(-19))*16\/4.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtmt when four letters picked without replacement from {t: 2, m: 5, d: 4}?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 6)*(2 + -3 - 75\/(-60)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8442199 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/11)\/(a**(-1\/3)*a)*a**(3\/20)\/a**(-8) assuming a is positive.\nAnswer: a**(5299\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 17*t. Let d(c) = -410*c. What is d(k(b))?\nAnswer: -6970*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2\/7*s**2 + 1352\/7 - 104\/7*s = 0.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gc when two letters picked without replacement from xgcx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 4*b - 11, -10 = -4*c + 5*b + 30. What are the prime factors of (-46)\/(-10) - 3\/c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 48\/(-30)*5\/(-2). Let m(x) = -x**2 + 2*x + 5. Determine m(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1306218?\nAnswer: 2, 3, 29, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -42*x - 2347. Determine v(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -55881 by 9.\nAnswer: -6209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 717*n**2 - 717*n**2 - n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.18 + -2.18. Which is the second smallest value? (a) -0.5 (b) -8\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8*n = 0. Suppose 0 = k - n*k. Let l(i) = i**2 + 84. Does 12 divide l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2157037 is divided by 10522.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -36, -148, -388, -804, -1444, -2356, -3588?\nAnswer: -5188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113 + -98. Let s = n + -14.8. Sort 3, 8, s.\nAnswer: s, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) 2\/11 (b) 2 (c) 5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**5 + 0*r**5 + 0*r**5)*(-18 - 2 - 4).\nAnswer: -96*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366\/4*(-1)\/(-3)*540\/(-250 + 115).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1695747 + 1695738 + 5*l**2 - 3391485.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from uwwfbfbfbwfwbwbbw?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 3012*o**2 - 14960*o.\nAnswer: -4*o*(o + 5)*(o + 748)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4*(0 + sqrt(931)) + 0 + 0 + sqrt(931) + 1)**2 - ((1 + sqrt(931) + 3)**2 - (sqrt(931) - (-5 + 3 + sqrt(931)))**2)).\nAnswer: -66999 - 42*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4004674213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*x - 324*x - 282*x = -69850 for x.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70.2 - 11705716028.\nAnswer: -11705716098.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 48817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 941062434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5622199 is divided by 19727.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - 0.7. Let z = 2 + -4. Let x = z + 1. Put 3, x, b in decreasing order.\nAnswer: 3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2. Let t(q) = -26*q - 274. Calculate d(t(n)).\nAnswer: -676*n**2 - 14248*n - 75076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 13*a**3 + 18*a**2 + 0 + 11*a**3 to the form l*a**2 + g*a**3 + o + i*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2206212*x**5 - x**3 + x**2 - 27324513*x wrt x?\nAnswer: -44124240*x**3 - 6*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 3*z**3 - z**3)*(-z - 4*z + 3*z) + 4*z**4 - 9*z**4 - 3*z**4.\nAnswer: -6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 983230 divided by 5\nAnswer: 196646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -851*q**3 - 69*q**2 + 69*q - 69. Let z(n) = -25*n**3 - 2*n**2 + 2*n - 2. Give 2*v(a) - 69*z(a).\nAnswer: 23*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/7)\/s**11 assuming s is positive.\nAnswer: s**(-79\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -155*x + 156*x + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6769 - -6773. Let y(q) be the first derivative of -2\/3*q**6 - 9*q**2 + 0*q**x - 13 + 0*q**3 + 0*q + 0*q**5. Find the second derivative of y(c) wrt c.\nAnswer: -80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -12*t**3 - 2*t**2 + 2*t + 2. Suppose -2*n - 3*q + 390 + 71 = 0, n + q - 232 = 0. Let s = 246 - n. Calculate the remainder when z(-2) is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184709?\nAnswer: 7, 26387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2568 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76705 + 0*y - 76705 + y - y - 34*y**2.\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a year in months?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 0)\/(2\/4). Let o(h) = -h**3 - 11*h**2 - 12*h - 8. Let w be o(a). What is the second derivative of 70*c**5 - 60*c**5 - w*c - 6*c wrt c?\nAnswer: 200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*q = 130*q + 30 + 120. Sort q, 0, -54, 4.\nAnswer: -54, 0, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 17 = -22. Suppose 5 = -j, -13 = -2*f + 4*j + k. What is the third derivative of z**2 + 0 + 6 - 6 - z**f wrt z?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 840 and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s - 5*s + 5*s)*(5*s - 2*s + 0*s) + (33 - 17 - 11)*(170 + 4*s**2 - 170) to z*s**2 + b + c*s and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 461 a factor of 16107319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3570 divided by -6?\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 70988645 a multiple of 2772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60544176 - -6.\nAnswer: 60544182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 427 (base 9) to base 15\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21797 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 19*t**2. Let c(g) = -175*g + 88*g - g**2 + 85*g. Let k(z) = -2*z**2 - 5*z. Let v(l) = 5*c(l) - 2*k(l). Give v(h(n)).\nAnswer: -361*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -752*o**2 - 138*o**3 - 1920*o - 2\/5*o**5 - 12*o**4 - 9216\/5.\nAnswer: -2*(o + 3)**2*(o + 8)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 divided by 1831070?\nAnswer: 47\/915535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 122208944.7 to the nearest one hundred thousand.\nAnswer: 122200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 13*d + 22. What is the remainder when 141 is divided by t(14)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1787365, 3574753, 5362141?\nAnswer: 7149529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 14 = -7. Let s(j) = 4*j + 30. Let p be s(z). Suppose -2\/7*i**p + 0 + 0*i + 2\/7*i**3 = 0. What is i?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 minutes before 5:45 PM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 56875829163 from 46.4.\nAnswer: -56875829116.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 5, -2, 4, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 518 is divided by 235.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -109.9339 + -0.1661. Let j = 110 + r. Let u = 1.7 - 1.2. Which is the smallest value? (a) -2\/3 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 28590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.802 - 6.602. What is the third biggest value in 992, d, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, q: 1, a: 1, u: 2}. Give prob of sequence ua.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 2*i - 2. Determine b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 - 138*q\/11 + 2720\/11.\nAnswer: -2*(q - 16)*(q + 85)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21313565 and 3370?\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1169?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 14 = -i, 0 = -3*i + 5*f + 10707 - 10757 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 139528 and 348820.\nAnswer: 697640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 98\/147 - (-15)\/(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.72 - 2.15. Let v = -0.43 - l. Let s = 3.84 + 0.16. Which is the third smallest value? (a) v (b) s (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -5, 0, -2\/7, 7, -15351?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 175293605?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379 + 59 = -40*n for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 15 = -30. Let i be -5 + 3\/(d\/(-3)). Let p = i + 10. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*m + 17*m - 38*m)*(-2*m + 1 - 1 + (3 + 1 - 2)*(4*m - m - m))*(5*m - 3*m + 0*m).\nAnswer: -20*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 6. Suppose -d*v - 2*b - 55 + 209 = 0, -2*b = 5*v - 370. Suppose 4*u - v = -0*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3\/11 (c) 3\/2 (d) 0.5 (e) -275\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1165861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009659391 to two decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 - 18*z**2\/5 + 16*z\/5.\nAnswer: 2*z*(z - 8)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3216 and -77\/30?\nAnswer: 16080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5760))\/(sqrt(512)*1 + sqrt(512))*2 + (sqrt(125) + -1)*1*1*4.\nAnswer: -4 + 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -172, -195, -256, -373, -564, -847, -1240?\nAnswer: -1761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141 + -65. Suppose 0 = i*b - 85*b + 9729. Is 23 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 (base 11) in base 12?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*4\/24)\/(1071\/204).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, 3, 5, 1 in increasing order.\nAnswer: -4, 1, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 17\/1525459 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*w + 28*w - 59 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + 0.2. Let v = -0.3 - -0.5. Let l = v + d. Does l = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 169 - 69?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -284 divided by 2\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (3*sqrt(147) + -5 - sqrt(147) - (-4*sqrt(147)*-2)**2) + -5 + 0.\nAnswer: -9421 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ag when two letters picked without replacement from {w: 5, a: 2, c: 2, g: 1, t: 10}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 + 5 = 0. Suppose -2*j = -j - 3. Solve j*l + 10 = -t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (67*f**2 - 2*f - 28*f**2 - 40*f**2 + 1427)*((-5*f - f + 4*f)*(3*f - 6*f + 2*f) - f**2 + f**2 - f**2) as m*f**3 + o*f**4 + z*f + h*f**2 + q and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 - 7*a**2 - 3*a - 133. What is the units digit of z(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1053) - (sqrt(1053) + 5 + sqrt(1053) + 5) - sqrt(1053) - (0 + sqrt(1053) + 2 + sqrt(1053) + sqrt(1053))))**2 + -3.\nAnswer: 38880*sqrt(13) + 952881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 76*l - 13826. What is t(188)?\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 245 + 333?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 147869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 443114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -133 - -4?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 835519 + 1325808. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 843*c**2 + 850*c**2.\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3)*(-6)\/(-128). Let t = o + 47\/64. What is the biggest value in t, 4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 0*w + 3*w - 358377, d + 89594 = w. Let q = -12901547\/144 - d. Calculate the common denominator of 71\/12 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 + 10. Let f be a(0). Suppose -t + f = -0*t. Let v(z) = -10 + t - z + 3*z. Let o(i) = 13*i. Calculate o(v(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13800?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/10*912\/(-798)*(-10)\/4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 15210 (b) 1.85 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1 (b) 21 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7\/2*c + 1\/2*c**2 + 5 = 0. What is c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2 - 26*f**3 + 14*f**2 - 2*f**2 + 35*f - 10 - 9*f**3.\nAnswer: -5*(f - 1)*(f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 4*r**2 + 1356*r + 6894. Calculate c(-5).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 8*o**2 - 34*o - 8. Give y(4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8985927g in nanograms?\nAnswer: 898592700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbbbbbbk. Give prob of picking 2 b and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70 - 70 + 131*z)*(-110*z - 58*z - 84*z) to q*z**2 + j + l*z and give q.\nAnswer: -33012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 5*u + 7. Let q be v(0). Suppose -2*y + 429 = x, -2*y - q = 1. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-6))\/(6\/39)*-75. Suppose 3*c - 2*w - 3*w = d, -495 = -5*c - w. What is the greatest common factor of 25 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-6))**(15\/4) assuming c is positive.\nAnswer: c**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.1 (b) 0.2 (c) -1\/3 (d) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 27*u + 1159. Is 19 a factor of y(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18783 - 18781. Solve -f*l - 14 = 2*n - 8, 0 = 4*n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 8:07 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:26 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 5*c**4\/24 - c**3\/3 - 5*c**2. Let w(v) = -9*v + 3. Calculate 11*h(j) + 6*w(j).\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -32*r**2 + 265*r - 69. Determine p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -1. Suppose f*b - 7*b = 10. Let h = b + 19. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206087 to the power of 1\/2, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44447, 44443, 44429, 44399, 44347?\nAnswer: 44267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11800867 is divided by 1966810.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -818*x + 798*x. Let b(z) be the third derivative of 0*z**3 + 0*z + z**2 + 0*z**4 + 1\/420*z**5 - 1\/840*z**x + 0. Find y such that b(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2125 = -2962*m + 2837*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h. Suppose 0 = -10*o + 30 + 10. Let g be -33*(-4 + (o - (-2)\/6)). Determine b(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m - 7. Let w(p) be the third derivative of p**5\/20 - p**4\/6 + 4*p**2 + 154*p - 2. What is w(y(h))?\nAnswer: 3*h**2 + 46*h + 175","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60 + 5?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -26354?\nAnswer: 26351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*s**2 - 407 - 51*s + 51*s - 434 + 84*s**4 wrt s?\nAnswer: 336*s**3 - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -p - 2*p + 11, v + 21 = 5*p. Suppose -2*a = -2, o - 2*o + 4*a = 8. Sort 4, v, 5, o.\nAnswer: o, v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:40 AM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/2307 - 16589\/253770. Let p = 3\/22 - f. Let g = 3 - 1. Which is the closest to -1? (a) -1\/4 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g and 1 c when four letters picked without replacement from gcugufgcguc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 5. Let k(h) = -3*h + 4. Determine -2*c(q) - 3*k(q).\nAnswer: 5*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -12*b**5 + 6693*b**4 + 8391*b**3 - 3345*b**2 - 5031*b = 0.\nAnswer: -1, 0, 3\/4, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -194, -391, -588?\nAnswer: -785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 - 8968*y + 3 + 4 + 2 as o + v*y and give v.\nAnswer: -8968","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 - 8*u + 18. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -3, 7, 0 in descending order.\nAnswer: 35, 7, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 330 divided by 277\nAnswer: 330\/277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -602, -2036, -4428, -7784, -12110, -17412, -23696?\nAnswer: -30968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 12 = 9*v. Suppose 3*x = x - 3*n + 122, -v*x - 2*n = -260. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p - 3650 - 6498. List the prime factors of p.\nAnswer: 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601912.\nAnswer: 2, 13, 73, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 8*a**2 - 12*a + 31. Let g be h(7). Let i = 31468 - 55520. Let n be g + (-3)\/(-4 + i\/(-6016)). Round n to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (452*m**2 + 101*m**2 - 139*m**2)*(5 + 9 - 5).\nAnswer: 3726*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4*z = 0, 2*z - z = 0. Suppose -3*b + 2*x + 12 + 8 = 0, o = 2*b + 3*x - 22. Let r = -1223\/5 - -253. Is b at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 35 = 2*c, -2*c = -6*c - 16. Let a(k) be the first derivative of -k**2 - 2*k + 136. Let h be a(n). What is the highest common divisor of 40 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 3*p + 1. Let h be z(3). Which is the smallest value? (a) -1\/3 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = 5*n, 0*n = -3*p - 2*n + 12. Put p, -1\/3, 4\/3, 27 in ascending order.\nAnswer: -1\/3, 4\/3, p, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27096.\nAnswer: 2, 3, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 1. Let d be s(-1). Suppose q - 17 = -5*m, -2*m = d*q - m - 13. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 980\/(-3 + 7). Suppose -c - 2*q = -3*c + 112, -q + v = 4*c. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 574*-0.1\nAnswer: -57.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67546, 67540, 67534, 67528?\nAnswer: 67522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 74 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 2*b - 5. Let k(q) = -3*q + 2*q + 7 - q**2 - 8 + 0*q. Let r(u) = -6*k(u) + 2*y(u). Calculate the smallest common multiple of 16 and r(-4).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 12*w - 203. Let a be m(32). Suppose 20 = 5*c, -g + a = 2*c - 230. Calculate the remainder when g is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -4. Let q = g - 0. Suppose -q = -j - 0*j. Calculate the least common multiple of j and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29167.\nAnswer: 29167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 + -0.47. Put r, 6, 3\/4 in decreasing order.\nAnswer: 6, 3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmzzwmc. Give prob of sequence wj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**2*s**3 - 10*q**2 - 641*q*s**3 - 2*q*s**2 + 2*q*s - 226 wrt s?\nAnswer: -6*q**2 - 3846*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 8:34 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 3*u**5\/20 - u**4\/2 - 74*u**3 - 420*u**2 - 3*u - 103. Factor p(g).\nAnswer: 3*(g - 14)*(g + 2)*(g + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-17)\/a*a**(-6)*(a*a\/a**27*a)\/a*a*a**(-9\/2))**35 assuming a is positive.\nAnswer: a**(-3605\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.8. Let k = 0.9 - w. What is the closest to k in 0.4, -4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3272431406 a multiple of 13490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 210 - 1127 = -5*q, -3*q + 5*r + 809 = 0. Suppose -5*k - q = -1228. Suppose 0 = l + l + g - k, 0 = 2*l + 2*g - 192. Does 24 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9902, -19612, -29250, -38810, -48286, -57672, -66962?\nAnswer: -76150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3110788, -3110789, -3110790, -3110791, -3110792, -3110793?\n\"Answer: -a - 3110787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(847) - (sqrt(17) - 4*sqrt(68)))**2 - (3*sqrt(119)*-2 + sqrt(119))\/(-6*sqrt(63)).\nAnswer: -5*sqrt(17)\/18 + 103428\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 31 - 47 = 0. Suppose -k = -i*k + 40524. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1562447?\nAnswer: 1562447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.5. Let s = -502 + 522.7. Let k = -21 + s. What is the third biggest value in 0.11, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 458 or 461?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.35 + 3.45. Let q = v - -0.6. Let c = q - 0.4. What is the second smallest value in 2, 0.06, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 4:44 AM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*o**3 - 3*o**3 + 5*o**3 + (-21*o**2 + 21*o**2 - 6*o**3)*(-2 - 2 + 3) - 19*o**2 + 2*o**3 + 19*o**2 to the form v + y*o**3 + k*o**2 + z*o and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(539)*-3 + (4*(-2 + sqrt(539)) - sqrt(539)))**2.\nAnswer: -1008*sqrt(11) + 43723","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**11\/(p*p*p\/(p**(4\/15)*p)))\/(p**(2\/23)\/p*p*p*(p\/(p\/(p*p**(2\/17))))\/p*p) assuming p is positive.\nAnswer: p**(41419\/5865)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112, -123, -134, -145?\n\"Answer: -11*n - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32819903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 6*g + 3*g)*(2*g**2 - g**2 + 0*g**2) + (-1 + 2 + 0)*(-g**3 - 4*g**3 + 3*g**3) - 474 - 121*g**3 + 474.\nAnswer: -125*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 4*t + 5*g + 155034181 = 0, -t + 4*g - 77517084 = 0. Let q = t + 44217088. Round q to the nearest one million.\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.032, -7, 0.01, 1\/137, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 10*h + 33. What is g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iioio?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 304.0561 + 0.0939. Round x to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 a, and 1 v when three letters picked without replacement from abbbvabaqttaybb?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 27381b (base 12) in base 8?\nAnswer: 2363727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -70 (b) 5\/16 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c0a050 - 1a?\nAnswer: -c0a06a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1766939 is divided by 916?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -3) + (-1 + -3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 3*m**2 + 1. Let a = -2 + 1. Let i(h) = -56 + 113 - 58 - h**2. Calculate a*i(c) - x(c).\nAnswer: c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + -15 + (0 - 5 - -4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4446093 or -4446090?\nAnswer: -4446093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 13) + 1 + (-3 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19 + 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12112303 (base 4) to base 13.\nAnswer: bb09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 6, t: 8, o: 3}. What is prob of picking 2 q and 2 t?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 4, -32, -94, 5 in decreasing order.\nAnswer: 5, 4, -1, -5, -32, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 489172 = -38*x + 40*x, -4*w = 4*x - 978320. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57952811409 + -1?\nAnswer: 57952811408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 45347396503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -291, -38619, 5, 2 in increasing order.\nAnswer: -38619, -291, 0, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1)*x**(-1\/2))\/(x\/(x\/(x**0\/x*x))*x)**(-22))\/(x**1*x**(1\/5))**(-40) assuming x is positive.\nAnswer: x**(143\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/1038? (a) -3 (b) -2 (c) -2\/7 (d) -0.3 (e) 7\/47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -2*w + 21. Calculate k(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -86694 - -12483877\/144. What is the common denominator of -55\/216 and f?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 38\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**2*x - 8*j**2 + 66*j - 361*x with respect to x.\nAnswer: j**2 - 361","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15648 is divided by 172?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 131, 483, 1077, 1919, 3015, 4371, 5993?\n\"Answer: m**3 + 115*m**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 5*q + 5, 0 = -2*z - 4*q - 6 - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 5:20 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98*g**2*m**3 - 135*g**2*m**2 + 2*g**2*m + 7*g**2 + 340433*g*m**3 + 5*g*m wrt g?\nAnswer: 196*m**3 - 270*m**2 + 4*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 586 - 1901\/3. Let t = k + 48. Let w be (-4 - 45\/(-10))*-2. What is the closest to t in 1, -5, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3488, -13935, -31318, -55619, -86820?\n\"Answer: 3*l**3 - 3486*l**2 - 10*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3 - 1 - 4*m + 4. Let j be z(6). Let n = -2 - j. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 8*d - 5. Let k(b) = -3*b. Let w be k(-1). Suppose 0 = w*i - 8 + 23. Let z be g(i). What is the greatest common factor of 50 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/12)\/h*(((h*h*h**(-4\/9)\/h*h)\/h)\/h)\/h*h)**(-7) assuming h is positive.\nAnswer: h**(343\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*s + 4*r, -35*s - 2*r + 18 = -40*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 11*w + 20 = -12*w, 5*d + 2*w = -34. Suppose -5*a - 5*z + 8 = 23, -5*a + z = 27. Do d and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53375\/96 + 556. Let x(g) be the third derivative of -1\/80*g**6 + 0*g**3 - 1\/210*g**7 - 1\/1344*g**8 - 1\/60*g**5 - v*g**4 + 0 - g**2 + 0*g. Factor x(h).\nAnswer: -h*(h + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f = -126 + 16. Suppose -45 = 5*r - 10*r - f*o, o - 36 = -4*r. Calculate the remainder when 122 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8 + -2.8. What is the third biggest value in -5, t, 2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 4. Let o = 2 - v. What is the second derivative of 4*h + 3*h**2 - o*h - 2*h wrt h?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44703 - 29444. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/23500 and 59\/5500.\nAnswer: 258500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + n - 4 = 0, 3*n - 8 = -b + 4*n. Find the third derivative of 87*g**3 - 56*g**4 + 79*g**2 - 2 + 2 - 85*g**b wrt g.\nAnswer: -1344*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 9:21 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 2.6?\nAnswer: -7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.21095 and -218.9.\nAnswer: -265.076955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 0 + -6 + -8 + -5 + 16.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-5)*t**(-3\/8)\/t*t**4\/(t**(-7)*t))\/(((t*t\/(t*t**4))\/t**(-1))\/(((t\/t**(1\/3))\/t)\/(t*t**1))) assuming t is positive.\nAnswer: t**(343\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8 and 4\/29.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -3. Let n = 7 - 6. Let p be (n\/(-2) - 1)\/(-6). Which is smaller: j or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2160\/149551?\nAnswer: 2160\/149551","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -0.1, 0.04, 8\/3?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 944 - 917. Let b(p) be the first derivative of 2*p - 12 + p**2 + 1\/6*p**o. Factor b(l).\nAnswer: (l + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 54620*k**2 - 218506*k - 163884.\nAnswer: 2*(k - 27314)*(k + 1)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*t - 3*g, -5*t + 2*g - 3*g + 15 = 0. Suppose -2*x + 11 = 3*p, 5*x + 6*p - 10 = t*p. Let q = -6 + 8. Sort q, x, -4 in decreasing order.\nAnswer: q, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o - 126. Let h be d(-18). What is the nearest to 0.2 in -2, h, -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5440328, -10880698, -16321068, -21761438, -27201808, -32642178?\n\"Answer: -5440370*z + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 12:06 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -7 + (-9 - -2) + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/7 (b) -329 (c) 1 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -80*w**3 - 5*w**2 - 82. Let b(y) = -120*y**3 - 8*y**2 - 123. Let o(l) = 5*b(l) - 8*c(l). What is the first derivative of o(f) wrt f?\nAnswer: 120*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4322*d - 12*d**3 - 3*d**2 - 4322*d.\nAnswer: -12*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 525\/4*t + 625\/2 - 12*t**2 + 1\/4*t**3 = 0. Calculate t.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26979302849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 17 - 42. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00021809 to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5 = -15. Let z = -5 + n. Suppose z = -2*j + 5 + 7. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 30*d**2 - 21*d + 54. Let k be v(-30). What is k rounded to the nearest ten?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 + 5)\/(-1 - -3). Solve 4*i - 4*s + 9*s - 7 = b, -2*s = i - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -7732.\nAnswer: 23196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/a**3*a*a**(-10) assuming a is positive.\nAnswer: a**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 124401 at least as big as 124611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1140055 + 300?\nAnswer: 1140355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 + 148*f**2 - 2149*f - 208. Give a(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4472)\/(-6))\/(-26)*24\/32.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6489 or -6384?\nAnswer: -6384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1202 + 43?\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.065 + -1468489047.92.\nAnswer: -1468489047.855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (6 + -16)) + -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2652\/48)\/17 + (-10)\/8. Calculate the greatest common divisor of 5 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78510*k**2 + 150*k - 111?\nAnswer: -157020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/72 and 109\/3014586.\nAnswer: 12058344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2051, -2050, -2049, -2048, -2047, -2046?\nAnswer: -2045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*g + 40*g + 24. Suppose g*c = 518 + 538. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2 - y. Let d be i(1). Let o(n) = 438*n**2 - 26*n - 27. Is o(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 19656, 4 in decreasing order.\nAnswer: 19656, 4, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783 + 751 = -2*q. Solve 2*o - q = -26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(15)\/sqrt(5) + sqrt(3) + 1.\nAnswer: -3 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/14, -1, 4, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 18 = -3*m. Let k = 3 - -4. Let z(u) = -u**2 + 7*u - 7. Let y(h) = -h**2 + 6*h - 6. Calculate k*y(c) + m*z(c).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 32 - -10?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/81 - 4\/180\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10011011 (base 2) to base 9\nAnswer: -182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 4, -0.19, -0.1, 2.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145608320 a multiple of 832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 226 (base 9) in base 3?\nAnswer: 20220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 - 3 + 3)*(13 - 24 + 11 - 1628*k).\nAnswer: 6512*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -2*c + 165. Let v(s) = -3 + 3*s**2 + 4 - 7*s - 2*s. List the prime factors of v(c).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**5\/150 - t**4\/30 + 8*t**3\/15 - 27*t**2. Factor m(p).\nAnswer: -2*(p - 2)*(p + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9323*t - 148214 = 2586*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (82344\/1752)\/((-5780)\/(-5779) + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*t + 2*t. Let r be 6\/t + -6 + 12. Let m(q) = 0 + 5*q + 9*q**3 - 3 - 8*q**r - 4*q**2. Give m(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-3*(0 + (-2 + ((-2*sqrt(3) - sqrt(3))*5)**2)*-2).\nAnswer: -12114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -876 = -2*h + 4*f, -3*h + 4*f = h - 1764. Suppose 5*r - 155 = -n + 91, 2*n = 2*r + h. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -53 + 64. Let y = 11 - 8. Suppose -2*o + 40 = -y*v + 7*v, 5*v = -3*o + 51. What is the smallest common multiple of n and v?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56524445 by 5.\nAnswer: 11304889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 749869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 282993497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1651101 to the nearest integer?\nAnswer: 1285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*j - 25 + 7, j - 4*t = -18. Suppose j*r + 8 = -3*n, r - 2*r - 4 = -5*n. Which is the third biggest value? (a) -3 (b) r (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.7 - 0.7. Let r = y - 7.8. Let v be ((-4)\/(-12))\/((-1)\/(-6)). What is the biggest value in r, 0.4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(1 + 0))\/(21 + -22). Sort -3, 4, n, -1 in ascending order.\nAnswer: -3, -1, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.1 (b) 29.6 (c) -0.4 (d) -4\/7 (e) -4 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*n**5 - 7*n**2 + 3*n**2 - 8*n**3 - 4*n + 11*n**5 wrt n.\nAnswer: 480*n**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 230\/1161319?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625*m**2 - 695*m**2 - 294*m**3 + 69*m**2.\nAnswer: -294*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1420\/4269 + 1\/1423. Let -5\/3*m - i*m**3 + 4\/3*m**2 + 2\/3 = 0. What is m?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -12\/7 and -31\/30778905?\nAnswer: 215452335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/100)\/(2\/45). Let w = 62 + 11. Let k = w + q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -301978 - 247078 = -0*s - 23*s. List the prime factors of s.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/2112 and 107\/12?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-35))\/(6\/(-7)*1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3717036.\nAnswer: 2, 3, 127, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3266\/1449 - 30\/27. Suppose -54\/7*y**2 - 8\/7*y**4 + 16\/7*y + u + 38\/7*y**3 = 0. Calculate y.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c. Let x(l) = 967969*l**2 - 3*l + 13. What is x(q(p))?\nAnswer: 3871876*p**2 - 6*p + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(121)*-3 + ((sqrt(121) - sqrt(121)*3 - sqrt(121) - sqrt(121) - sqrt(121))*3 - sqrt(121)))\/(1*sqrt(891) + (sqrt(891) + sqrt(11))*5).\nAnswer: -7*sqrt(11)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 0*n = -24. Let v(r) = -r**2 + 9*r - 8. What is v(n)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55*-0.078\nAnswer: -4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (-17 - 1376\/(-80) - (-42)\/(-10))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7807150 divided by -2.\nAnswer: 3903575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 65*i**2 - 106*i - 1146. What is l(67)?\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3376, 6739, 10086, 13417, 16732, 20031?\nAnswer: 23314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000050192 rounded to seven decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 70922634, 70922644, 70922654, 70922664, 70922674, 70922684?\n\"Answer: 10*h + 70922624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:31 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -295?\nAnswer: -298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**2 - 3 + 3 + (0*p - 17*p + 8*p)*(-3*p - 2*p + 6*p).\nAnswer: -13*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:21 AM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + (sqrt(325) + (sqrt(325) - (sqrt(325) + 2)) - sqrt(325)))*4*1)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4 - 3\/6*-4. Let u be 8\/6*(-3)\/z - -2. Solve -17 = v + u*c, -5*v + v + 2 = 2*c for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -110*r - 329. Is a(-45) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27129105.\nAnswer: 3, 5, 47, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119800 and 5.\nAnswer: 119800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 5*s - 15 = 0, -m - 5*s - 5 = -20. Let t = 2 + m. Solve r - b + t = 0, -4*r + 3*b + 2 = b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 4, 29, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1130755171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**3 + l**3 - 3*l**3 + (l**3 + 0*l**3 - 3*l**3)*(4 - 2 - 4) + 40*l**3 - 114*l**3 - 65*l**3.\nAnswer: -136*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Suppose -x = i + 41, i + 3*x = -i - 82. Let o = 4 - i. Let s(u) = -o*u**2 - 13*u**2 + 25*u**2. Calculate c(s(w)).\nAnswer: -66*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*c + 550*c + 917*c - 532*c = 123225 for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 346983 divided by 5.\nAnswer: 346983\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n**(-1\/10)*n))\/n)\/n**(-2\/21)*n\/((n**(-1\/7)\/n*n)\/n)*n*n**(-4) assuming n is positive.\nAnswer: n**(-349\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((13\/(-52))\/((-2)\/36))\/(-3).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2406 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1369291\/390 + 3511. Which is bigger: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -8\/9 (b) -0.3 (c) -2 (d) -0.1 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74177.\nAnswer: 74177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.95854 times -3\nAnswer: 2.87562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 (base 11) in base 16?\nAnswer: -4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 2*j, -52*w = -51*w + 25*j for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5380 + -5328.96. What is s rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -395 + 395.00503. What is s rounded to 4 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01541769 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/((sqrt(96) - 1*sqrt(96))\/sqrt(8) + sqrt(12)) - (sqrt(7)*1 + 1 + (sqrt(567)*1)**2)) + 4.\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*j = -1377, 3*j = 63*h - 65*h + 675. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1, -6.69?\nAnswer: -6.69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 58617 - 34660. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.202572773 to 5 decimal places.\nAnswer: 0.20257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, -95828.\nAnswer: -95828, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 686 and 224798?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 23.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-2))\/(3\/(-158)). Let r = -49 + a. 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: What is the millions digit of 1939609113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by 28.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 320071 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.1, -1.3, 2, 0.001 in ascending order.\nAnswer: -1.3, -1\/2, 0.001, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 2. Which is the closest to w? (a) -0.3 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.631 + -1.369. What is the closest to -6 in z, 0.1, -0.5, 1\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 divided by -15?\nAnswer: 211\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or -25?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211113, 211170, 211273, 211428, 211641, 211918, 212265?\nAnswer: 212688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y - 6. Let a(i) = -i + 7. Let k(q) = -5*a(q) - 6*d(q). Let l(g) = 0 + 14*g - 13*g + 2*g - 2. Determine 2*k(r) + l(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14*(-13)\/1092)\/((-2)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 12 = -4. Suppose -4*w + z = -4. Suppose s - 6*s - 3*y + 65 = 0, w*s = -4*y + 28. Calculate the greatest common factor of s and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -10 - -24) + (5 - 7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 946 + -954. Put 31, -1, o, 1 in ascending order.\nAnswer: o, -1, 1, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -155 + 208.2. Round t to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2197 is divided by 58.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 440 = 35*j - 4390. Is 10 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1320, -2646, -3940, -5184, -6360, -7450, -8436, -9300?\n\"Answer: 3*x**3 - 2*x**2 - 1341*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 4*h - h)*(4 - 5 - 1) + 2*h + h - h + 2 - 2 + 2*h.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35527\/9 or -3947?\nAnswer: -3947","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of q**3\/3 + 4*q**2 + 10*q + 5. Let a be i(-7). Solve 2*f - 2 = a*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 56*y**2 + 4 + 26 - 4.\nAnswer: 56*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 u when two letters picked without replacement from eeujpeeeepedoepeeeed?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 + 1 - 2*m**2 + 0*m**2)*(-6*m + 6*m + 9*m) - 2*m + 2*m - 2*m**3.\nAnswer: -11*m**3 + 9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**3*l - 4426*h**3 + 40*h**2*l - 54*l + 1 wrt l.\nAnswer: -3*h**3 + 40*h**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731749 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: Is 20643487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 136\/40591 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 796 - 796.1. What is the fifth biggest value in x, -5, 0.1, -49, -2?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7677935 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-22) + ((-96565)\/83325 - 5). Let n = 7\/202 + q. What is the common denominator of 97\/36 and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r - 11. Let t be j(-14). Let v(g) = -g**2 + 2*g + 1. Give v(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((6 - 3) + (7 - 2) - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -408815 greater than -3679324\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a century in months?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -70*t + 3577. Let h be k(51). Let d(b) = b**2 - 7*b - 18. Determine d(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*-2*56\/784?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 3*w = -9, 0*u - 5*u + 10 = -4*w. Let x = -497 - -491. Put 1, u, x, -5 in increasing order.\nAnswer: x, -5, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(3\/4))**(-2\/39)*q**(-8\/5)*q\/(q*q**3*q*q) assuming q is positive.\nAnswer: q**(-2609\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of q**6\/120 + q**5\/12 - q**4\/24 + q**3\/2 - 7*q**2. What is c(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/14*3\/18*-6.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/6 - (-65)\/10. Suppose -560 = -5*g + l, 10*l - k*l = 4*g - 448. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - 3*j**2 - j**2 - 2*j**4 - 23 - 2*j**3 + 6*j**2 in the form b*j**3 + k*j**2 + u + r*j + y*j**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2 + 84*o - 87.\nAnswer: 3*(o - 1)*(o + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 79.85296 micrograms?\nAnswer: 0.00000000007985296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62\/15 - -82\/15. Sort -2, b, 3\/38 in increasing order.\nAnswer: -2, 3\/38, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -57736 - -15588691\/270. What is the common denominator of g and 95\/18?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14390 or -5\/13?\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8025 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 120 - -891. Does 33 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -5*v + 775, 3*v = 5*t - 10*t + 461. What is the remainder when 347 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47152*v**4 + 3*v**3 + 85550*v**2 - 5*v + 3?\nAnswer: -1131648*v + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63\/4 + -16. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*a**2 - 22240*a - 22224*a + 44464*a.\nAnswer: 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50374694 is divided by 318?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-801)\/534 - 14\/(-20)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 9 = -1. Suppose -4*n + 8 = -p + i*p, -3*p = 12. Let w(u) = -2*u - 4. Let c(d) = -4*d - 7. Suppose 7*j + 25 = 2*j. Determine j*w(t) + n*c(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1112 = -2*p - 14*n, -2*n = -5*p - 8414 + 8271 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from feqefqfffqqeqmq. Give prob of picking 2 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + 5*b**2 - b - 3 - 6*b**2 + 1 to the form o*b**2 + g + z*b and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 4:47 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, -4, 3\/11, -2, -1\/24?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 - -0.07. Let t = 0.036043 - 1.036043. What is the third smallest value in t, 1.7, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -122221112222 (base 3) to base 13\nAnswer: -c4a24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -55.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317*q**3 + 318*q**2 wrt q?\nAnswer: 1902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*k - 66 = -251*k. Solve c = -34 + k for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*a**2 - 97*a**2 - 16*a**2 - 32*a**2.\nAnswer: -118*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/9*(-9)\/21. Suppose -4*b - 17 = 3*d - 4*d, 0 = 5*d + b - 1. Suppose g - 3 = 3*i, i - d + 2 = g. Is z >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12776248711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = h - 0*h - 51, 0 = -z - 4*h + 6. What is the least common multiple of z and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8330661 divided by 3441.\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/((n\/n**(-3\/2))\/n)*n)**(-28) assuming n is positive.\nAnswer: n**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4125?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 21*a - 2. Let g(o) = 3*o - 8. Calculate f(g(b)).\nAnswer: 63*b - 170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -314401, -314400, -314399?\n\"Answer: r - 314402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**3\/7 - 4083*p**2 - 8761872*p + 4694808384 = 0. What is p?\nAnswer: -4984, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -1. Let f(s) = 4. Let r(v) = -f(v) - 3*p(v). Let b(l) = -3*l + 1. What is -b(a) - 3*r(a)?\nAnswer: 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*r + 15129 = -39*r + 69*r + 85*r for r.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29\/284 + -25\/71. Which is the third smallest value? (a) 0.3 (b) 0.064 (c) 3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -4, 2\/16426411, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 z when four letters picked without replacement from zbbiiiizzzzizzzzbizb.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:01 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, e: 1, l: 1, j: 1, d: 1, h: 8}. Give prob of picking 1 l, 1 h, and 1 d.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 954785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + r**2 + r + 1. Let w(a) = 16*a**3 + 2*a**2 + 4*a + 5. Determine -4*j(p) + w(p).\nAnswer: 20*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 374 (b) 1\/6 (c) -0.00103 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l**2 - 4*l. Let c(y) = -39*y**2 - 15*y. Let h(u) = -15*a(u) + 4*c(u). Let r(n) be the first derivative of 7*n**3\/3 - 3611. Give r(h(v)).\nAnswer: 252*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 11) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 53 - 44. Let a(k) = -7*k**2 - 17*k. Let p(c) = -4*c**2 - 9*c. What is r*a(u) - 5*p(u)?\nAnswer: -u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 t when three letters picked without replacement from {e: 6, t: 8, g: 3}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -10 + 75*x - 828*x**2 + 845*x**2 - 88*x. Let k(o) = -8*o**2 + 6*o + 5. Calculate -13*k(f) - 6*n(f).\nAnswer: 2*f**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.93 + -0.07. Let l be 1 + -3 + 54\/24 - 1. Put -6, l, j, 4\/7 in ascending order.\nAnswer: -6, j, l, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1325*y + 1707.\nAnswer: 1325","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 4, 1\/13, 4363, 0 in ascending order.\nAnswer: -5, 0, 1\/13, 4, 5, 4363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 2*d + 129, v - d - 30 = -0*d. Calculate the remainder when v is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -175666.33 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.042861 rounded to three dps?\nAnswer: 3.043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**3 + 3*v - 3. Let u(i) = -4*i**3 + i**2 + 3*i - 2. Let b(h) = -5*m(h) + 6*u(h). Give b(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:43 AM?\nAnswer: 2:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -8 + 2 + 27 + -57\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 - 14. Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-14)\/(-6))\/((-31)\/186).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*q + 4*q - 12, -5*q + 9 = -3*t. Calculate the highest common divisor of 22 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 7. Let w(j) = 60*j + 3*j**2 - 121*j + 61*j. Determine w(m(s)).\nAnswer: 3*s**4 + 42*s**2 + 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -5*k**2 - 7*k. Let f = 21 - 7. Let w(g) = -g**2 - g. What is f*w(t) - 2*m(t)?\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32c (base 14) to base 10.\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + u + 6 = 0. Let n be (-10)\/275*(-1 - u). What is the biggest value in 4, n, 0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + -4 + (-747)\/(-415). Sort -4, 1\/9, s, 3, 5 in descending order.\nAnswer: 5, 3, 1\/9, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-11 + 26 - 11)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**1*u)*u**3\/u*u)**4)**(1\/6) assuming u is positive.\nAnswer: u**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1135*x + 746*x - 3371 + 2386*x + 3149*x wrt x.\nAnswer: 5146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 4365*c**2 - 4761123*c - 4765489.\nAnswer: -(c - 2183)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 7*c + 6. Let u be (-161)\/46*(-1 + 34\/(-14)). Suppose -u*v + 5 = 5. Solve v*w - 10 = -c*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 39.8. Let i = 3 - 6. Let o = i - g. Sort o, -3, 1\/2 in increasing order.\nAnswer: -3, o, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**3 - 3*n - 75. Let y(s) = 2*s**3 + 2*s + 37. Let w(p) = -3*q(p) - 5*y(p). What are the prime factors of w(0)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1)\/a)**(-21)\/(a**(1\/4)*a*(a**(1\/3)*a)\/a) assuming a is positive.\nAnswer: a**(485\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12510432901 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*y + 2*y**3 + 8*y**4 - y**2 - y**2 - 9*y + 2 as a*y**2 + u*y**3 + f*y + g*y**4 + h and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -850557*u**3 + 1700622*u**3 - 850068*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3214 is divided by 546.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 98837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, a: 1, d: 2}. Give prob of picking 1 a, 1 k, and 1 d.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 371\nAnswer: -1855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 36 = 3*l, l - 2*l = r - 12. What is the greatest common divisor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.434.\nAnswer: 0.0434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**3 + 8*k**4 + 6*k**2 - 10*k**3 - 29*k - 18*k**4 + 11*k**4 in the form t*k**2 + o*k**3 + b*k + m*k**4 + i and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58957949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 2*t - 1. Let c be d(-3). Find the third derivative of b**5 + 6*b**2 - 8*b**c - b**2 wrt b.\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62658.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 2.422155387.\nAnswer: -2.022155387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174916528?\nAnswer: 2, 10932283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2 + 2*b + 11. Let q(l) = -3*l**2 + 3*l + 10. Let t(i) = 4*p(i) - 5*q(i). Suppose 7*k + 14 = 5*k. Give t(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -5*h + 117. Let j be f(23). Solve j = -0*a - a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-87)\/29 + (-2397)\/(-795). Which is the closest to 0? (a) m (b) 2\/13 (c) -1 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 5*r + f + 14, r = -f - 1 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1919 and 5429053.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -21963, -43939, -65925, -87921?\n\"Answer: -5*g**2 - 21961*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239028495 divided by 773555.\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*c = 231*c - 60 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = -2*v, 3*m = 5*v + 41 - 15. Solve 0 = -o + 2*i + 14, 3*o - i - 27 = m*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00123 rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by 290?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 6*y - 7 = 7*y, -2*q - y = -2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 223.1 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -124 - -124. Suppose -5 = n, -4*l + 9*l + 2*n - 620 = s. Suppose -36 - l = -6*j. Calculate the highest common divisor of j and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.5 + 22.69. What is m rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 424*f + 208*f - 4486 - 5626 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/4 + 21*k**4 + 177*k**3\/2 + 48*k**2 - 357*k\/4 - 69 = 0 for k.\nAnswer: -23, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (792 - 825 - (-21 + 0))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -574\/37 in 3, 12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 56066 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: Factor -2*g**3 - 90*g**2 - 966*g + 1058.\nAnswer: -2*(g - 1)*(g + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55, 68, 75, 70, 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**3 - u**5 + 0*u**3 + (-3*u - 4*u + 5*u)*(21*u**4 + 16*u**4 - 48*u**4).\nAnswer: 21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -43, -187, -495, -1051, -1939?\n\"Answer: -14*g**3 + 2*g**2 - 52*g + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/25 of a meter?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)\/(sqrt(22)\/sqrt(2)))\/sqrt(192) + 5)**2 + -3.\nAnswer: 5*sqrt(5)\/4 + 1413\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from kjkkkjkknjjkkejkk.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/7 - 177*k**2\/7 - 720*k\/7 - 724\/7 = 0. What is k?\nAnswer: -2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -109, -124, -149, -184, -229, -284, -349?\n\"Answer: -5*g**2 - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-88 - 20 - -68).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 = 0, -5*g + 3*c - 21 = -0*c. Let m = 3 - -4. Let t = m - g. What is the remainder when 75 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/5 and -97\/162?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzgzzzzzzzzzzggg. What is prob of picking 3 z?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-6*(sqrt(70) + sqrt(70) + sqrt(70) + sqrt(70) + -2*sqrt(70))*6)\/(-2*(-3*(3*sqrt(360) - sqrt(360)) + sqrt(360))).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*r + 36*r = 688 + 32 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 42\/12) + 5\/(-2). Let n(a) = -a**3 - 3*a**2 - 3*a - 4. Let m be n(b). Solve 9*f = 10*f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 95 = 5*t - 26, 0 = -t - 3*p + 37. Let g be ((-26)\/4)\/((-8)\/400). Calculate the greatest common factor of t and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/15)\/(8\/5 - 2).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:11 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 PM and 6:10 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -5*m + 10. Let r be 6\/9 - 3\/((-36)\/472). Suppose -2*n = 3*n - r. Calculate x(n).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 186312*s - 372608 = 0.\nAnswer: 2, 46576","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(-33)*0 - 0\/((-12)\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 211 + 211 + 73*u - 10*u.\nAnswer: 70*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*b**3 - 317*b**3 + 131*b**3.\nAnswer: -86*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724242 is divided by 118?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 23*b - 10. Let j be f(17). Suppose 0 = 87*o - j*o + 20. Suppose y - 78 - 156 = -3*v, o*v + 418 = 2*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 138 = 4*w. Let h = -16 - w. Suppose 2*l - 48 = -h. Calculate the remainder when 83 is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b + 1199*b**4 - 8*b + 0*b - b - 380*b**4 - 4 wrt b?\nAnswer: 9828*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -321032?\nAnswer: -321100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9456757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 AM and 6:12 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 141 = 5*w, 178 + 143 = -6*v + 69 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 6*a + 16165. What are the prime factors of m(0)?\nAnswer: 5, 53, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3670671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2558*0.3.\nAnswer: -767.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 - 1. Let v = -8 - -16. Let a be (-2)\/(-4) - (-4)\/v. Determine q(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231*l - 228*l + 9 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 3 (c) -2.4 (d) -0.04 (e) 64 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 5*n - 9*n. Let k be -3 + n + 0\/(-4). Let b(r) = 7*r + 6. Let w(c) = 10*c + 7 - 2*c + 0*c. Determine k*w(l) - 7*b(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 - 11*m - 20. Let a be n(-8). List the prime factors of -3 + (272\/4 - a).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*u**2 - 9*u + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24641184 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uh when two letters picked without replacement from {q: 1, h: 1, s: 5, u: 1, i: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.5 (b) 0.3 (c) 2\/7 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 + 17*m**2 + 3*m + 3. Let u be i(-5). Suppose 285 = -3*h + 8*h. Suppose -h = -n - 2*n. What is the highest common divisor of n and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - 31?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96419 to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1293, 2518, 3751, 4992, 6241?\nAnswer: 7498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(931) - (0 + sqrt(931))*1 - (4*sqrt(152)*1 + sqrt(152) - sqrt(152))\/(sqrt(24)\/sqrt(3)*6))**2.\nAnswer: -152*sqrt(19)\/3 + 7003\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 17. Let l = p + 29. Suppose 5*n + n = l. Solve n*w + w = 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -223233300 + -132?\nAnswer: -223300032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 4*o + 6. Let j = -4 - o. Let g(h) = -3*h**2 - 2*h**2 + j*h**2. Let m(d) = -2*d. Give g(m(v)).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107, 115, 123, 131?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4416 >= -4423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.47, 11, 3, 68, 4\/9 in decreasing order.\nAnswer: 68, 11, 6.47, 3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1 - 1 + 2 - 3 + (0 + 0 - 2)*(-1 + 4 - 4) - 3 + 0 + 5 - 1 - 1 + 0)*(26*r - 17*r - 3 - 17*r)*(5*r**2 - 5*r**2 - 2*r**2).\nAnswer: -16*r**3 - 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -733 - 98307568.\nAnswer: -98308301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b + 12. Let k be n(-3). Let f = -4 - k. Solve 3*z + 1 + f = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 8*t - 5*m, 12546*t - 12545*t - 2*m = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4518 - 4406. Calculate the least common multiple of 98 and x.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -42\/193, 0.4, -0.5, -0.6 in decreasing order.\nAnswer: 0.4, -42\/193, -0.5, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (0 + -2)\/2. Suppose n*r - 13 = 23. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + ((3 + sqrt(1900) - sqrt(1900)) + sqrt(1900) - sqrt(1900)) + -1 + (0 + sqrt(1900))*-5*-1)**2 + 4.\nAnswer: -100*sqrt(19) + 47505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.2316 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 20*x + 11. Let u be t(-10). Suppose -37 = -4*g + u. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the second derivative of -5*b**3\/6 + 6*b. Let s(y) = -2*y. Calculate r(s(j)).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38680 + 90035. What are the prime factors of o?\nAnswer: 5, 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -60 - -40. Let p = -8 - z. Let j = -10 + 15. What is the remainder when p is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 737, 1662, 2957, 4622, 6657, 9062?\nAnswer: 11837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3 + (3*(sqrt(17) + sqrt(612)) - (1*sqrt(102))\/sqrt(6)) + -1)**2*-3 + -3).\nAnswer: 240*sqrt(17) + 20415","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 166 divided by 4374\nAnswer: 83\/2187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68000 divided by 7.\nAnswer: 68000\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 1944\/5305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8178?\nAnswer: 2, 3, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -39 (b) 0.5 (c) -16 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3239, 6467, 9679, 12869, 16031, 19159, 22247, 25289?\nAnswer: 28279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {w: 1, e: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i. Let z(k) = -6*k. Let f(v) = 5*w(v) - 4*z(v). Suppose 0 = s + s - 4. Let b(d) = d + 2*d - s*d. Determine b(f(q)).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**2 - 3. Let r be p(-3). Is r*(-2)\/8*6 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*r - 186*r - 36*r**3.\nAnswer: -36*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k**3 - 38294*k**2 - 27730648*k?\nAnswer: 48*k - 76588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 27*k + 200 = 0. Calculate the remainder when k is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(1\/2 + -2). Let r be (f\/(-6))\/(1\/(-9)). Solve r*a - 3*x = 18, x = -2*a + 5 + 4 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let v(r) = -15*r - 12. Let u(m) = -13*m - 9. Let y(t) = 4*u(t) - 3*v(t). Let o(q) = 5*c(q) + y(q). Let g(z) = 23*z**2. Determine g(o(h)).\nAnswer: 92*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*r - 44 = 3*p - 7*r, -r + 5 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -19 - -6 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - 7*d + 8*d - 4*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -27*k - 12. Let g(q) = -q**2 - 12*q - 24. Let o be g(-10). Let c be (o - 27\/(-3))*1. Let d(i) = 11*i + 5. What is c*a(v) + 12*d(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4531635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = m - 5*b + 7, -m - 18 = -4*b. Is 10 a factor of (150\/(-40))\/(m\/32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28438 is divided by 254?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**2 - 9*c**2 - 2*c**2 + (-1 + 1 - c)*(4 - 2*c - 4) + 36*c**2 + 5*c**2 - 8*c**2.\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 3363144?\nAnswer: -3363144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*b + b**2 - 7*b + 6 - 6 - 8*b**2 + (-3 - 2 + 3)*(-1 + 1 - 2*b**2) - 4*b**2 + 0*b**2 + 5*b**2 - 3*b + b**2 + 3*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4030 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(39\/12 + -3). Suppose 48 = -u + i*u. Suppose -c - 6 = -3*b, 11*c - 14*c = b - 2. Solve 0 = -c*s + 4*s - u for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/3)\/(47\/282) - -46. Suppose 2*y = -4*g + 1210, 5*g - 1520 = -s*y + 55*y. What is the remainder when g is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z**2 - 4*z + 5. Let a = 9 - 5. Let v be t(a). Suppose -4*o = -5*y - 3*o + 165, -y + 4*o + 14 = 0. What is the highest common divisor of v and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 5 + 3 - s**2 + s. Give u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 + -58. Suppose -z = -k*u - u + 10, 5*u - 5*z - 20 = 0. Let i(a) = 4*a**2 - 1. What is i(u)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22511 (base 8) in base 14?\nAnswer: 369b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 682.9*-2\nAnswer: -1365.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (4 - (-42)\/(-10)). Suppose -3*m + 4 - 1 = 0. Let y = m - 1. Is x not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 142 - 31. Is i a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11856915 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2318 and 1037.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14304923 to the nearest integer?\nAnswer: 3782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 339*z**3 - 7*z**2 + 6*z - 4. Calculate p(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 6*j**2 + 7*j + 6. Let a(p) = -8*p - 19. Let r be a(-3). What is the remainder when (-1)\/(r + -1 + (-654)\/162) is divided by f(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from {b: 2, p: 5, t: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -0*j - 24. Let c = j + 3. Suppose -18 = -q - 3*l, 5*q + 5*l = 34 + 26. Calculate the highest common factor of q and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729533070 a multiple of 333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/207700 and -97\/6030?\nAnswer: 1869300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-2))**(1\/12))**33 assuming f is positive.\nAnswer: f**(-11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1027 - -0.0973. Which is smaller: j or 2.51?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1159178.\nAnswer: 2, 83, 6983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9555*o**4 + o**2 + 12149*o.\nAnswer: 229320*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**6 + 419792*l**5 + 394*l**2 + 7036.\nAnswer: 840*l**3 + 25187520*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + (-2 + sqrt(153)*-2 - (4 + (sqrt(153) - (sqrt(153) + (-2*sqrt(153) - sqrt(153))))))**2.\nAnswer: 180*sqrt(17) + 3861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -g - 13 - 12, -2*g + 5*w - 56 = 0. What is the tens digit of (-2)\/11 + (-996)\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 16 = -4. Let h be (9 - 1) + 4\/2. Suppose -5*t + 2*v = -6, -x*t = 3*v - 6 - h. Solve t*n + 3*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21900461*m*z**4 + 98252*m*z**2 - 3*m*z + 2*m - 6*z**2 wrt z.\nAnswer: 525611064*m*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*f + 1. Which is smaller: 2\/115 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 4*o + 1. What are the prime factors of d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*s + s + s)*(7 - 7 - 11*s) to the form m*s + t*s**2 + c and give t.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -19, -32, -45, -58, -71?\n\"Answer: -13*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04962 rounded to three dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d**2 + 35*d + 7. Let f(m) = -10*m**2 + 30*m + 7. Let o(t) = 9*f(t) - 8*w(t). What is o(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 2075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -398276*d**3 - 106404?\nAnswer: -1194828*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f - 3*f)*(0*f - 2*f + f) - 3*f**2 - 2*f**2 + 4*f**2 - 787*f + 392*f + 43*f**2 + 397*f.\nAnswer: 41*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5*(-2)\/(-8))\/((-524)\/1965).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 18, 58, 116, 192?\n\"Answer: 9*v**2 + 13*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -58, -109, -180, -277, -406?\nAnswer: -573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*o**3 - 5 + 46*o**3 - 192*o**3 + 2.\nAnswer: -552*o**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 28 = -4*x, -3299*f + 3300*f + 2*x = 14 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 + -15. Suppose -5*f + 2756 + 2689 = -c*t, t = 2*f - 1088. Is 11 a factor of (-2)\/(-5) - t\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5791 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 2*w**2 - 5*w + 13. Calculate i(9).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2121 + -2124. Sort 3, 61\/3, k in increasing order.\nAnswer: k, 3, 61\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/19648 and -9\/653296.\nAnswer: 2613184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 685493899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*x + 14*x - 33*x to w + p*x and give p.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 8 + (0 - 2) + 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*j**3 + 26*j**2 - 16*j**2 + 94*j**3 - 10*j**2.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 993 divide 382427139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.11 + 53.69. Let p = 59 - g. Suppose 9 = 3*r - 0. What is the closest to p in -2, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 4*t = -18, 2*z + 2*z = 5*t + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - x + 91442 = 0, 17*x + 137229 = 3*p + 2*x. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + f)*(-7*f - 6*f + 6*f)*(18734 + 230*f - 18734).\nAnswer: -1610*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1120 + 1123. Let b = 0.3 - 0.5. What is the nearest to 0 in 2, b, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 4200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 7279 = 5*s - 5*c, 0 = -2*s - 3*c + 4878. 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 n be 4\/(-3)*1*6900\/(-920). Solve -5*h + 8*h = -2*w + n, -4*h = -w - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1331, -1333, -1335, -1337?\nAnswer: -1339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1980 by 990.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 810185687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 - 27*k - 62. Let c be r(-22). Put 6\/7, -1, c in increasing order.\nAnswer: -1, 6\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2359 + 918. Let m = r - -11633. Let a = m + -17692. Round a to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19133 and 278692.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 274, 1383, 4180, 9511, 18222, 31159?\n\"Answer: 141*h**3 - 2*h**2 + 128*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 8*v**3 - 2*v**2 + v. Suppose -2*r + 1 = -r. Let g be x(r). Let q = g + -2. Is 5 bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1722 and 45937056.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1158*p + 9264. Let i be y(-8). Suppose 0 = -2*q + 6 - 0. Solve i = 3*j - 6*j - 3*v + q, -25 = 5*j - 5*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 67*n**3 - 472*n**2 + 17*n + 27. Determine d(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -304, -1\/42, -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1886268 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -15, -30, -49?\n\"Answer: -2*m**2 - 5*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*(o*o*o**3)\/o)**(-49)*(o*o**23*o*o)\/o**(2\/9))**(-1\/7) assuming o is positive.\nAnswer: o**(1973\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - t**2 + 3)*(2*t**2 + 113*t**2 - 10*t**2) as v*t**4 + b + g*t + n*t**2 + s*t**3 and give v.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414516 and 10320.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = -3*u + u, 5*z - 1 = -u. Sort -3, u, -4 in decreasing order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8134.\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.48 - -0.28. What is the smallest value in 0, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/4)\/(1650\/(-2625)*35) + (-54)\/8?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 589 + -598.01. Let a = 9 + v. Let y = 1.25 + -5.25. What is the closest to a in -2\/3, y, -5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, -3, -5, 1\/4, 2\/15.\nAnswer: -5, -3, 0.06, 2\/15, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, u: 2}. Give prob of sequence usu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/((1\/5)\/1). Let q = 51 + g. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 13*b = 12*b + 77, 3*d + 4*b - 74 = 0. Suppose d*a - 5144187 = -23378187. Round a to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/91? (a) -0.3 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -282)\/(-2) - (3 - 5) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ini when three letters picked without replacement from iininin?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 8:51 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -41*o**2 + 39*o - 5. Let y(p) = 41*p**2 - 38*p + 6. Let c(u) = 6*d(u) + 5*y(u). Find the second derivative of c(a) wrt a.\nAnswer: -82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, -2\/789, 5 in decreasing order.\nAnswer: 5, -2\/789, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*s + 8, -s + 3*b = -3*s + 16. What is the second derivative of -3*u + 6*u**3 - 3*u**3 + s*u - 3*u wrt u?\nAnswer: 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 plus -6575.577816?\nAnswer: -6573.577816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((0 - -4 - 9) + 14) - 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6651397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -472*p**3 + 62 wrt p.\nAnswer: -1416*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 38. Calculate the remainder when (-164)\/(-16) - (-3)\/u is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*3*(-17646)\/(-5882)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -25.13 and 163?\nAnswer: -4096.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(((w\/(w*w**(-1\/2))*w*w)\/w)\/w))**23 assuming w is positive.\nAnswer: w**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - 203264?\nAnswer: -203246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 7*c + 7. Let q be s(6). Let b = q - 8. Suppose 0 = -0*i + b*i - 110. What is the smallest common multiple of i and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3 + 11. Suppose 0 = -2*h - w, 4*h = -2*q + 3*h + 4556. Round q to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 41*t**3 - 30*t**2 + 158*t + 7. What is the units digit of y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3 - 1 + 1 - 4 - 53*g. What is the tens digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 442811157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 505\/4 + -125. Let s = 20 - 6. Suppose -2*x + 5*t + s = 3*t, 2*x - t = 12. What is the third smallest value in x, r, -1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22, 216, 542, 1000, 1590?\n\"Answer: 66*r**2 - 4*r - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -209 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 + 7*q - 23. Suppose 103 = d - 0*d. Calculate the remainder when d is divided by x(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*v = -8985825, 11*i - 8985775 = 9*i - 5*v. What is i rounded to the nearest ten thousand?\nAnswer: 4490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54*g**4 + g**2*j - 16*g*j + 41*j + 15 with respect to g.\nAnswer: -216*g**3 + 2*g*j - 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 290230, 290216, 290192, 290158, 290114, 290060, 289996?\n\"Answer: -5*u**2 + u + 290234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/6*18\/12. Let p(w) = -4*w**2 + 5*w**g + 7*w**2. Let x(u) = u**2. Determine x(p(c)).\nAnswer: 64*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -4 - 2*k**2 + 3*k**2 + 9 - 4*k. Calculate the remainder when 5 is divided by r(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023022 - 1?\nAnswer: 1023021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + 4114?\nAnswer: 4224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 77155 and 77204 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 4059148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(168)\/(sqrt(112)*1))\/(sqrt(768) - (6*sqrt(768)*-1 + sqrt(768))))**2.\nAnswer: 1\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -137 - -140. Solve k + v*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11904 + 14*s**2 - 12*s**2 - 10*s + 11907 - 88*s**3 in the form i*s**2 + j*s**3 + r + q*s and give j.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*d + 3*w - 4*w, -2*d = -4*w - 22. Solve -d*p - 2*p + s = -23, 0 = -2*p - 5*s - 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 14*s**6\/15 - 7*s**5\/10 - s**4\/12 + 109*s**3 + 6*s - 123. Find the third derivative of f(w) wrt w.\nAnswer: 672*w - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4837 is divided by 1200.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3200, 12520, 28054, 49802, 77764, 111940, 152330?\nAnswer: 198934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 + 74 = -2*w. Calculate the remainder when 17 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yeyeeyyyyyyyyyyy.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -48*z**2 - 255*z + 78. What is f(-6)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c**3 + 38*c**3 - 15*c**3 - 13*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6099, 12575, 19433, 26673, 34295?\nAnswer: 42299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1015 + 1328. What is the highest common factor of a and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 + g. Let m be h(0). Sort 4, m, 21 in increasing order.\nAnswer: m, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**8*q)*q*(q\/(q\/(q\/q**(2\/39))*q))\/q assuming q is positive.\nAnswer: q**(-275\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32932 - -32959. Sort -358, s, 2 in increasing order.\nAnswer: -358, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259008147?\nAnswer: 3, 28778683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**3 + 22*m**2 - 47*m + 29. Let a be x(-24). Is 8 + -17 - -704 - a a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -107. Suppose 80 + f = 8*a. Solve 0 = -r - z + 10, 0 = -4*r + z + z + a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-459)\/(-21))\/(285\/665). Solve 0 = -12*v + 15 - n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1*(-2)\/(-3). Let i = a + 8. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 28*r. Let t(c) = 7*c. Let s(f) = 4*t(f) - w(f). Let x(l) = 692*l**2. What is x(s(o))?\nAnswer: 2768*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 1. Let s(c) = 4*c**2 + c. Let g be s(-1). Let h be d(g). Solve 2*x + 3 = -5*m, h*m + 2*x + 10 = -x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 103*o + 1163. What is x(88)?\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 3*d + 80, 3*n - 9*d - 120 = -6*d. What is the smallest common multiple of n and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -11, 0.2, 1, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2560613 greater than -2560619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 244232.\nAnswer: 2, 30529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.13367\nAnswer: 0.040101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m + 2. Let i be 8 - 5 - (-1 + 3). Let q(y) = 11*y - 1. Let s be q(i). Suppose -8 = -5*u + 4*x, -u - 2*x + s = -0*u. Determine j(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29525?\nAnswer: 5, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 3 (b) 3\/467 (c) 2 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + (-14 - (-3 + -1)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20863764589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 547 + -555. Let u be (1074\/i)\/((-6 + -1)\/28). Is 538 at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11974 or -1643.3?\nAnswer: -1643.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + aa03bf?\nAnswer: aa03c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 62950\/3 - 21000. Calculate the common denominator of n and ((-7)\/(-10))\/(1\/2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/168)\/((-2)\/6))\/1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 247520 from -418.68.\nAnswer: -247938.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5060 and 552.\nAnswer: 2793120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23638171?\nAnswer: 61, 479, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of -f**5\/60 + 1215*f**2. Let w(b) = 267*b. Determine w(o(j)).\nAnswer: -267*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8893?\nAnswer: 8893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (16 - 40)) + -22?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 250232.247us to days.\nAnswer: 0.0000028962065625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/16 of a week?\nAnswer: 1890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**3\/15 + 668*m**2\/5 + 136584*m\/5 - 48177296\/15 = 0.\nAnswer: -542, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*p**6 + 6218*p**4 + 473*p**2 - 49.\nAnswer: 960*p**3 + 149232*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15091 - 15057. What is the greatest common divisor of l and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a + -86?\nAnswer: -b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/4)\/((-1)\/(-3) - 133\/228). Find k such that -1\/4*k**3 + 13\/4*k - 3 + 0*k**b = 0.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-12 + -7 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:10 PM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 4 - (2 + -10) - (89 - 120)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/(4\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 322 - 620 = -334 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 19*s**2 + 245*s - 14. Give c(-13).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 7*t**2 - 4*t - 18. Give s(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -241 - ((1 - 3) + -1). Let x = -175 - b. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 12*q - 16. Let l be m(10). Let k be 3879\/(-6)*l\/(-6). Let b = k - 222. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 13, 3\/23, -1\/3, -6 in decreasing order.\nAnswer: 13, 2, 3\/23, -1\/3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 29*m**2 - 39876*m + 119367. Determine r(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 723036221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.239 >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942126?\nAnswer: 2, 3, 23, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 49464 and 865620.\nAnswer: 1731240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157\/4 in -6, 382, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 131 - 99 = 0. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 15035 and 2029594\/135 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2 + 6*o - 6. Let a(x) = -13*x**2 + 23*x - 23. Let u(q) = 2*a(q) - 9*b(q). What is the remainder when 31 is divided by u(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - q = -26. Suppose 7*c + 970 + 955 = 0. Let f = -171 - c. What is the highest common factor of f and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887475*r = 887412*r - 189 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + 2*u + (-3*u + 2*u - u)*(-1 + 2 - 3) - u + u + u + 0 - 5 + 7 - 3*u + (1 - 2 + 2)*(-3*u + 0*u + 5*u).\nAnswer: 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 38*v - 114. Does 8 divide r(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*x**2 + 3*x**2 + x**2 + 0*x**2 + 7*x**2 + 0*x**2.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t**2 + 2*t - 1. Let q be (-1)\/1 - 2\/(-1). Let w be b(q). Let o = 12 + w. Solve 0 = o*y - 4*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 11*y**2 - 8*y - 1. Calculate the remainder when 52 is divided by c(10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 8 = -8. Let c be (1*-24)\/(3\/m). Suppose 18*h - c = 16*h. Calculate the remainder when 61 is divided by h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 21\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*(-3)\/4. Let g = -104 + -12. Let s = g + 115.5. Which is the second smallest value? (a) s (b) -7 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.77 + -0.22. Let v = -0.5 + j. Let h = v - 0.049968. What is h rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3 - 2570*c**2 + 825600*c.\nAnswer: 2*c*(c - 645)*(c - 640)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1085 and 30535.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -52, -97, -142, -181?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -3. Suppose -g = -2*a + 6. Let n = a - -6. Solve -3*s + 5 = -n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -j**4\/24 + 11*j**3\/3 + 19*j**2. Let f be b(18). Solve -f*c + 4 = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -285*w**4 + 348*w**4 - 234*w**4 + (w**3 + 0*w**3 + w**3)*(0*w + 0*w - w) - 3*w**4 - 2*w**4 + 3*w**4.\nAnswer: -175*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 3657?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a. Let b(t) be the first derivative of t**2\/2 - 1370. Give 22*b(k) - 4*l(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 16) to base 3.\nAnswer: 2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 10027*u - 4754*u + 5511*u - 6709*u.\nAnswer: -15979*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364572 and 66215.\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6977\/2 - 15357\/10. Let f = n + -1944. Factor 2\/5*q**2 + 242\/5 - f*q.\nAnswer: 2*(q - 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 k when four letters picked without replacement from kzlllczlkkyyllyy.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -12890445?\nAnswer: -12890445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 7:30 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, 1 f, and 1 x when four letters picked without replacement from ladxxfdxxxzzdxfdx?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3967, 15846, 35635, 63328, 98919?\n\"Answer: -z**3 + 3961*z**2 + 3*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, c: 4, b: 2, h: 2, n: 2}. Give prob of sequence bbc.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -57021*v + 35049?\nAnswer: -57021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1005.3 and -80573.\nAnswer: -81578.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - n = -2, -20*w + 15*w - 5 = 5*n for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1038 divide 4676170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*x + 42*x - 85*x + 46*x - 43*x + 440*x**2.\nAnswer: 440*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-663)\/(-26)*(-226)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 3 - 2*u - u + 0*u. Let z be w(-3). Let y be (-2 - z - 3) + 10. What is the highest common divisor of 88 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2724.\nAnswer: 2, 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64027700?\nAnswer: 2, 5, 11, 58207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 112121 (base 3) in base 12?\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -58, -111, -178, -259, -354, -463?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 677, 761, 787, 749, 641?\n\"Answer: -k**3 - 23*k**2 + 160*k + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2116119289.\nAnswer: 2116119289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 + -0.55. Let y be 486\/172*1\/5. Let h = -3\/86 - y. Sort b, h, -1 in increasing order.\nAnswer: -1, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (-7 - -13).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 24, -5, -46?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/10)\/((-1131)\/290*12\/9)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 18\/7 and 2\/(-3)*27\/54.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10936 - 11003 - (2 + -171)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 5\/20 - -2*70558\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -6921*o - 27678. What is u(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/(-14)*(-14)\/(-4). Suppose -u + 3*u = j. Suppose 3*d = p + 31, 0 = -d + 4*p - 7 - 1. Solve 0*t - d = -u*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, -1445, -1, 7?\nAnswer: -1445","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127332.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*q + 45 = 0. Suppose 0 = 14*k - 11*k - 45. Calculate the remainder when k is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*r + 4*r - 164, -r = 0. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/77 and 29\/22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 167075679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*m - 3*i = -14*m + 4, -4*i = 8*m + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, y: 1, j: 1, h: 2, r: 1, f: 1}. What is prob of picking 1 h, 1 r, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213985 is divided by 18.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68241 and 103362.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.03 (c) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 259474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8d7352 + 6?\nAnswer: -8d734b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 j when four letters picked without replacement from xoxjxwxjoojuojj.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*a + 412 + 1414 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (42\/21 + 5*-1). Let w(g) = -7*g - 2*g - s - g**2 + 4*g - 3*g. Give w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -8 + 11 + -9 + 7 - 64?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -v - 6, 0 = -5*n + 4*v - 9. Let m be -5*(2 - (-24)\/(-10)). Put -4, n, m in decreasing order.\nAnswer: m, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0851 and -155676.\nAnswer: -13248.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 - (-2 + 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 72*y + 240.\nAnswer: 3*(y - 20)*(y - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4917*n*v - 28*n - 163428*v wrt n?\nAnswer: 4917*v - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - (6 - -43)) + 46.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19516 and 25092.\nAnswer: 175644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4*(2*sqrt(1872)*2*-1)**2 + (-2 + -3 + 3*(sqrt(1872)*2 + sqrt(1872) + -4))**2.\nAnswer: -3672*sqrt(13) + 271730","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/4 + j**3\/3 - 10*j - 3. Let f be 6\/(-4) + (-18)\/(-4). Suppose -f*s = 2*s. Give w(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-13)\/39*-15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 494, 506?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1315, 10975, 37299, 88645, 173371, 299835, 476395, 711409?\nAnswer: 1013235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (-4 + (1 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (-2)\/(-4)*0. Let l be (-3*a)\/(3\/(-2)). Let y(w) = -w**2 + w - 2. Let h(x) = -5*x**2 + 4*x - 10. Let k(p) = 2*h(p) - 11*y(p). Calculate k(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.5 - 7.5. Let v = -0.3 - -0.5. Which is the nearest to 1? (a) v (b) j (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeegege. Give prob of sequence egeg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*o**4 + 0*o**4 + 0*o**4 + (o**3 - 2*o**3 + 0*o**3)*(-49*o - 149 + 149).\nAnswer: 40*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l + 23. What is m(-20)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 861.8767 litres to millilitres.\nAnswer: 861876.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 187*y - 334*y - 1470 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -341141431 (base 5) in base 13?\nAnswer: -40955b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2047 is divided by (-16 - (-2875)\/184)\/(1\/(-48)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -685838, -1371663, -2057486, -2743307, -3429126?\n\"Answer: f**2 - 685828*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Which is smaller: 2\/19 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119191055 to the power of 1\/2, to the nearest integer?\nAnswer: 10917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 22. Let f be i(-19). Which is the nearest to -1\/3? (a) 14 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(154))\/sqrt(11) - sqrt(14))\/(sqrt(128)\/sqrt(4)) - (((sqrt(700) - 1*sqrt(700)) + -2)*-1)**2.\nAnswer: -4 - 3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aauuaaaaau. Give prob of sequence uaau.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -g + 256, -2*l + l + 2*g = -133. Suppose -5*i = -3*i - 110. Suppose -l = -3*y - 3*n, -2*y + y + 2*n = -i. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-4)\/12 - (-398)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1742\/(-3) - (40\/15 - 3). Let f = j + 569. Calculate the common denominator of 46\/5 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from ayyfo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*v - 246 = -19*v. Solve 2*d + g = 4, 0 = -3*d - 5*g + v - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -22, 15, -2\/3, 0.2, 4, -2\/7, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z - 7 - 6*z + 3*z - z - 5*z. Let x(f) = 6*f + 4. Suppose 4*w - 19 + 31 = 0. Determine w*g(d) - 5*x(d).\nAnswer: 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*l**3 + 401*l**3 - 36*l**3.\nAnswer: 346*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - w**2 - w + 48. Let s be l(0). Suppose -5*y = 3*p - 48, 3*y + 2*y - 5*p = 80. Calculate the greatest common factor of s and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 11. Let h = z + -9. Sort h, -6\/7, -0.1.\nAnswer: h, -6\/7, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**2 - 25*n**2 + 29*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 18 + 4086*q - 12*q**2 + 0*q**2 - 4100*q + q**3. Let p be h(13). Solve 0*z + 4*u = 3*z - 13, -4*z - p*u - 24 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nusuuuxxnnustuxs. What is prob of sequence usuu?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2*u + 11583 = 0, -4*u = -2*c - 8*u + 4630. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1963958 * 0.01.\nAnswer: 19639.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1912795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 6*f - 2. Let v be a(7). Suppose 4*k = v*q + 25, -16 = -3*k + q - 0*q. Calculate the highest common divisor of k and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 172614 or 172431?\nAnswer: 172431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*2\/(-4)*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110303 (base 4) to base 13\nAnswer: -7b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*m**2 - 153*m**2 + 56*m**2 + 49*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (4724\/(-2362))\/(-27*2)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9837852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 29881101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -24. Let q(n) = -7*n**g - 3 + 8*n**2 + 12. Is q(3) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3120 (base 4) in base 5?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3200) + 0 + 2*sqrt(3200)*2 + (1*(sqrt(3200)*2 + sqrt(3200) + sqrt(3200)) - (1*sqrt(3200) + 4)))**2 + -3)*4.\nAnswer: -7680*sqrt(2) + 819224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**4\/4 + 8*s**3\/3 - 1. Let c be m(8). Suppose -4*a = -c*a. Is 0 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 2, n: 1, s: 1, d: 1, g: 2, r: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**2 - 5. Let f(a) = -6*a - a + 2*a. Give n(f(z)).\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100011 (base 2) to base 14.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**4\/4 - 1065105*r**3 - 3025211340723*r**2\/2 - 716054918988741761*r - 60145944998107345377\/4 = 0 for r.\nAnswer: -1420133, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -371, 2, -11, 31\/5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-170)\/(-8) - (-6)\/8. Suppose -u = 2*n + 5*q, 7*n - 5*q = 2*n - 20. Let g be (4 - 2) + 0 + n. What is the nearest to 1\/2 in 0, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 51*g = 578 + 5164. Solve -g = -8*k - 47 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4 + 3 - 2 + r + 2. Let t be d(0). Which is bigger: t or -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 236, 1163, 2688, 4805, 7508, 10791, 14648?\nAnswer: 19073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - d + 6 = 0, -411*d + 406*d = 10 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 - (-14)\/4 - 2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.72 - 36. Let p = 0.8 - 0.1. Let z = p - y. Is z at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 11:16 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106898663?\nAnswer: 1453, 73571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392) + -1*sqrt(392) + sqrt(392) + sqrt(392))\/sqrt(4) + 2)**2.\nAnswer: 56*sqrt(2) + 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, j: 6}. Give prob of sequence jwwj.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -7*z**2 - 17*z + 156. Let s be a(8). Let u = s + 436. Solve 4*l = u, 2*l + 4 = 4*r - 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 114 - 16*x - 114 in the form f*x + c and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of a**5\/30 - 8*a**2. Let q(i) be the third derivative of i**4\/8 - i**2. What is q(s(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134.6 * -3.\nAnswer: -403.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 532*j - 2. Let g be q(-7). Let b be 2\/(-5) + g\/(-115). Suppose -6*v = -11*v + 400. What is the highest common factor of b and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 8:11 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 908299, 908301, 908303, 908305, 908307?\nAnswer: 908309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 7 + 0)*(-j - 2*j + 5*j) - 6*j + 0*j + 2*j)*(-3*j**2 + 4*j**2 - 2*j - 4*j**2).\nAnswer: 42*j**3 + 28*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44*b**2*u**3 - 221*b**2*u**2 - 3*b**2*u + 54*b*u**3 + 6*b*u**2 - 2*b + u**4 wrt u?\nAnswer: -264*b**2 + 324*b + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 64100?\nAnswer: 256400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(75)*3.\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/2 - (-917900)\/(-141384)?\nAnswer: 1\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12220 - -211?\nAnswer: 20201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*b = -9, 3*k = 4*b + 4 - 25. Let t be (-672)\/72 - (-2)\/k. Which is bigger: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 361*q. Let j(m) = -90*m**2. Determine h(j(p)).\nAnswer: -32490*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000632465324 rounded to seven dps?\nAnswer: -0.0000632","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4 + sqrt(52)\/sqrt(4) + ((sqrt(832) + -1 - sqrt(13))**2 + sqrt(13) - (sqrt(13) + 0 + -4)**2).\nAnswer: -4*sqrt(13) + 611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 6*c**2 - c - 7. Let w = -56 - -84. Let m = w - 34. What is t(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (76 - -5)) + 161 + -198.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 315.41 meters in kilometers?\nAnswer: 0.31541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 395.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(4\/5)\/g)**(-5\/12)\/(g**(2\/55)*g*g\/(g*g*g*g*g\/g**(-21)*g)) assuming g is positive.\nAnswer: g**(16531\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41.8 and -16.\nAnswer: 668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 72*w**2 + 301*w + 11335. Determine a(-70).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78, -57, -36, -15, 6, 27?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -22. Let m(p) = 10 - p + x*p**2 - p**2 - 6 + 0*p. Let t = 4 + -4. Determine m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**3 + 2*t**3 - 5*t**3 + (-2 + t**2 + 2)*(0*t - t + 0*t))*(82 - 52 + 74) + (2*t - 2*t + t)*(2*t**2 + 3 - 3).\nAnswer: -726*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3057120 by 59.\nAnswer: 3057120\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(19) + sqrt(1900) + 0).\nAnswer: -22*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1627*t + 52648 + 26464 = 351*t for t.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 45 = 90. Let k be (-25)\/9 + 6\/r. Which is the third biggest value? (a) -4 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 175 - 187 - 6*h + 3*h**2 - 7*h**2 to s*h + k*h**2 + m and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8290627.\nAnswer: 37, 224071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -74 - 121895305\nAnswer: -121895379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 3737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o**2 + 4*o. Let u(r) = 2*r**2 + 3*r. Suppose 10 = 5*f, -4*i - 3*f + 5*f - 20 = 0. Let m(b) = i*u(b) + 3*a(b). Let z(j) = j**2. Determine z(m(t)).\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8271337\/20 - -413994. Let l = r + -427. What is the common denominator of 101\/16 and l?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 201332 + -1302200?\nAnswer: -1100202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 4\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-8)\/6)\/(-1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 125*l**3 + 6*l - 5. Calculate the lowest common multiple of q(1) and 2 + 0 + 6 + 4.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, s: 3, c: 3}. What is prob of sequence sc?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19.42 - -0.18. Let y = -19.6174 + t. What is y rounded to 3 decimal places?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(72)\/sqrt(48))\/(-4*(sqrt(75) - ((1*sqrt(75) - sqrt(75)) + sqrt(75))) - sqrt(75) - sqrt(75)).\nAnswer: -sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -10, 0*q - 3*q + 15 = -5*h. Let t(i) = h + 1 + 8 + i. What is the units digit of t(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 7985576*v**2. Let t(j) = -2*j**2. Determine p(t(b)).\nAnswer: 31942304*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75 and 130485.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*i + 24*i - 12*i**3 + 23*i**3 + 32*i**3 wrt i?\nAnswer: 258*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-24) + 22\/12. Which is the third smallest value? (a) 2 (b) 1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507384 is divided by 3174?\nAnswer: 3098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 27911, 27778, 27641, 27500, 27355, 27206, 27053?\n\"Answer: -2*c**2 - 127*c + 28040","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -218*z**2 + 437*z**2 - 217*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 10*t**3 + 66*t**2 - 7488*t\/5 + 22984\/5 = 0?\nAnswer: -17, 26\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3)*l**(-3)\/l*((l**(3\/5)\/l)\/l)\/(l*l\/l**(1\/2)))\/((l**2*l\/(l**1*l))\/((l*l*l**1\/l)\/(l\/(l\/((l\/(l**(-4)*l))\/l))))) assuming l is positive.\nAnswer: l**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -l - 12, -2*o + 2*l + 179 = 173 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-3)\/(-2)*-5. Let r = z - 25. Sort 3, -21, r.\nAnswer: -21, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s - 7. Suppose 9*o - 5*o = 0. Suppose -2*v - 10 = -o. Let w(r) = -3*r + 5. Let q(n) = v*j(n) - 7*w(n). Let z(c) = -3*c**2. Determine z(q(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10699 and 1391?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12000004 (base 5) to base 7.\nAnswer: -633614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 23298136 and 37497.\nAnswer: 69894408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 5:58 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 138 is divided by 56?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (100\/(-7))\/((-118)\/5782). Calculate the greatest common divisor of j and 1000.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**2\/4 - 570*u + 56375\/4 = 0. Calculate u.\nAnswer: 25, 2255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 + a**2 - a**2)*(-a - 15*a - 5*a)*(-2 + 2 + 4*a**2).\nAnswer: -168*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -113.\nAnswer: -9\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9.8 and -60677.63?\nAnswer: -594640.774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7050.458l?\nAnswer: 7050458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.8246569 kilometers?\nAnswer: 824656900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*p, -h - 5*p - 6 = 5. Let y = h + -6. Suppose 4*j = -r + 5, r - y*j - 43 = -r. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of u**3\/3 + 5*u**2\/2 - 10*u - 2. Suppose -20576 = -15*n - 20681. Let o be h(n). Put -3\/2, o, 3 in decreasing order.\nAnswer: o, 3, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0 + sqrt(243))*5)**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m. Suppose 5*j + 17 = 3*j - 5*n, 20 = -4*n. Let w(o) = -j*o**2 + o**2 + 2*o**2 - o**2. Determine w(q(b)).\nAnswer: -98*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -3. Suppose 5*p - 3*f + f - 11 = 0, -5 = -5*p + 5*f. Find the third derivative of p*c**2 - c**3 - 4*c**w + 0*c**2 + 4*c**3 wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-7 - -9 - -9) + -16 - 2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**3\/7 + 5216*w**2\/7 + 154552*w\/7 - 329984\/7 = 0.\nAnswer: -2578, -32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*m = -r - 19, -4*r = 5*m - 50. Let a = 48 - r. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1701 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 g when two letters picked without replacement from {j: 1, z: 2, b: 2, y: 5, g: 5, v: 2}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 27 (b) 2 (c) 134 (d) -1\/2 (e) 1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/3*-1 - 108\/(-162). What is the remainder when 166 + 8\/2 + b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + 17. Which is the third smallest value? (a) -0.1 (b) 3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54898 is divided by 235?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/5 + (-54468)\/890.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3259 - 212. Let y = -1908 + p. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 at least as big as -5692?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058842013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -24. Suppose 5*p = 270 - 75. What is the remainder when p is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 2*y - p + 5, -3*y + 4*p = 18. Let k = 4465\/6 - 744. Sort 4, y, -9, k in increasing order.\nAnswer: -9, y, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221504.\nAnswer: 2, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -83 + -846?\nAnswer: -8c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2043482880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 + 45. Which is the smallest value? (a) 1\/3 (b) h (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 - s**2 + 4*s + 6. Let i = -18 + 27. Suppose 5*h - 26 = -1. Let n = h - i. Let w(t) = -7*t**3 + 2*t**2 - 9*t - 13. Calculate n*w(j) - 9*b(j).\nAnswer: j**3 + j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/5 + 394*u**2\/5 - 3248*u\/5 + 1312 = 0 for u.\nAnswer: -205, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 283 = -4*j, -b - 212 = 3*j - 0*j. Let k = j + 75. What is the units digit of ((-6)\/k)\/((-33)\/6490)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 80*g**4 - 84*g**3 - 156*g**2 + 8*g = 0.\nAnswer: -1, 0, 1\/20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48321, 48331, 48355, 48399, 48469?\n\"Answer: q**3 + q**2 + 48319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*r + 4 = 11, -3*i = 2*r - 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -268332\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/3*(-27)\/24.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2158498 and 39009.\nAnswer: 6475494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6365902 is divided by 161.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 11*j**2 - 15*j + 28. Let b be q(12). What is the units digit of b\/44 + (-3880)\/(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9760?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 154*f**2 - 12*f - 920. Let u be t(-77). Solve u*y = -5*m + 5, -4*y = -3*m + 6*m - 11 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 436681?\nAnswer: -436687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5\/323?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffj when three letters picked without replacement from ffjjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -175502 * 5\nAnswer: -877510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.6 - -7.9. Sort 2, h, 5 in ascending order.\nAnswer: h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51450046*r - 3 + 3 - 51450053*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in -0.06, -8, -104, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 2, o: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 - 1 = 0. Let y = d + 8. Suppose 0 = -2*l + 2*c - 2, -4*l - 7 = -9*c + 4*c. What is the least common multiple of y and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4}. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319 - 2*v**3 + 293 - v**2 - 610 + 46*v**4 + 23*v to w*v**3 + l + d*v + y*v**2 + q*v**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -5. Let n = 0.1 - -3.9. Let y = -185\/282 - 1\/94. Which is the nearest to y? (a) 0.2 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2511940.\nAnswer: 2, 5, 125597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, l: 6, f: 5, d: 3, j: 1, s: 1}. Give prob of picking 1 d, 1 j, and 2 f.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/15 + 4\/10. Let l = 1.074 + -0.074. Which is the nearest to l? (a) 1\/5 (b) h (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -40*h**2 - 36*h**2 - 46*h**2 - 2 + 123*h**2 - 1 - 4*h. Suppose 4*g - 2*g - 10 = 0. Determine u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 982737 < 982733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2*3*3\/(-18).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149051*x**3 - 3*x - 149053*x**3 + 3*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.2*-206.\nAnswer: 659.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50*g**2*y**2 - 863*y**2 wrt g?\nAnswer: -100*g*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, 1\/36, 1.4, 10, -6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-197)\/7 + -4 - 4\/(-28). Let z = a - -26. Does z = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59948840 to the power of 1\/3, to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2246944 is divided by 1123435?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 49 - -69. Let d = o - 89. Put 5, d, -1, -5 in ascending order.\nAnswer: -5, -1, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/((-9)\/6) + -2. Let t = 4 + k. Suppose 4*f - 2*u - 31 = 55, t = 4*u - 4. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-1275)\/17))\/(((-9204)\/(-360))\/59).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.021 * 0.1176676.\nAnswer: 0.0024710196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of -2*q**5\/5 + 11*q**4\/6 - 5*q**3\/3 - 2*q**2 + 7*q. Find y such that g(y) = 0.\nAnswer: -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -401*a - 689*a - 78508 + 22270 = 352*a for a.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + -57. Let l = -26 - k. Let q = 104.9999913 - l. Round q to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -948 + -35975?\nAnswer: -365c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - k - 4*k - 7*k + k + 3*k + (2*k - 4*k + 3*k)*(-2 + 0 + 1) - 1 - 2*k + 2*k - 2*k.\nAnswer: -8*k - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/(3*(-3)\/(-9)). Let n(a) = 9*a + 1. Let i be n(-1). What are the prime factors of ((-12)\/i + -2)*b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -60*a**4 + 3*a**3*u**3 + 85*u**3 - 2*u wrt a?\nAnswer: -240*a**3 + 9*a**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 6:16 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -24\/49 (b) 2 (c) 176 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 31, 26, 19, 10, -1, -14?\n\"Answer: -t**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a tonne in kilograms?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(8) + -3 - sqrt(72)*-1) + (sqrt(56)\/(sqrt(7)*-1) + 3)*-6)**2.\nAnswer: -680*sqrt(2) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/6)\/((-2)\/(-12)). Suppose f + 7 = 2. Let h = o + f. What is the closest to 0 in h, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 0*k + k. Let h(f) = -1178*f + 1 + 53*f + 1124*f. What is -h(p) + 3*m(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -2\/3 (c) 3\/13 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71465?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/(-1*sqrt(8)))\/((sqrt(3) - 3*sqrt(243)) + sqrt(3)).\nAnswer: sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2785 and 6127.\nAnswer: 30635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclcxcccccccc. Give prob of sequence cc.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*q + 684 = 983 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2062320 to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-52 - 32 - 19)*(-3 + 3 - 5*r**2)*(r**2 + 3*r**2 - 6*r**2) in the form d*r + y*r**3 + z*r**4 + k + v*r**2 and give z.\nAnswer: -1030","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + i**3 - 3*i**3 - 6 + 6.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i**2 + 39*i + 21 + 9*i - 52 + 32 in the form z + b*i**2 + f*i and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451893981 is divided by 2672?\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 508088.\nAnswer: 1\/508088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(-140)*-3*(-1421)\/(-42)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**3 - 6 + 2*q**3 + 5*q - 4*q**2 + q**3. Let n(t) = -2*t - 10. Let d be n(-7). Let b(u) = -u**2 + 2*u + 3. Let h be b(d). Determine c(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1642\/5 - -83329\/260. Let z = 31\/4 + i. Let g = -961 - -4807\/5. Put 2\/15, z, 4, g in decreasing order.\nAnswer: 4, g, 2\/15, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a + a - 2. Let k(g) = g**3 + 8*g**2 - 10*g - 9. Let i be k(-9). Solve -2*v - a + 5 = i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165422393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1170 = -0*s - 3*s. Round s to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1851, -3707, -5565, -7425, -9287, -11151?\nAnswer: -13017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2862296 - -5?\nAnswer: -2862291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**4\/12 + 3*g**3\/2 - 5*g**2\/2 + 59*g. Determine x(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0100450714 to four dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*n**2 + 14*n**2 + 6*n**2 - 44*n + 11*n**2 wrt n.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18475160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2286003 * 0.1\nAnswer: -228600.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 736435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60947832 * -6.\nAnswer: -365686992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + 3*b - 88. Suppose -4*g + 34 - 2 = 0. Calculate the remainder when i(-12) is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a microgram in nanograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**3 + 41*f**4 - 2*f - 38*f**4 + 2*f**2 - 5*f**3 as y*f**4 + u + c*f**3 + z*f**2 + k*f and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 2\/19, -0.048, -0.122, -0.4?\nAnswer: -0.122","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 i when two letters picked without replacement from {w: 2, n: 1, i: 3, y: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.039068 rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/34, 5, 0.0485 in ascending order.\nAnswer: 0.0485, 3\/34, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 488*h**2 - 18 + 490*h**2 + 17 to the form l*h + m*h**2 + d*h**3 + r and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 + -13 - (-46 - -54))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 6:27 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1372, -1404, -1518, -1756, -2160, -2772, -3634?\n\"Answer: -7*q**3 + q**2 + 14*q - 1380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159*p + 1676 = -7546 for p.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -41*k + 40*k - 9, -4*k + 4*r = -36. Let q(w) = 3*w**2 - 6*w + 4. Let u(y) = 3*y**2 - 7*y + 5. Give k*q(l) - 5*u(l).\nAnswer: 3*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1))\/(-24)*18\/(-6).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2. Let l(p) = p**2. Let q(x) = -6*l(x) + 4*v(x). Let t(s) = 6*s**2 + 3*s. Let y(g) = -13*g**2 - 7*g. Let d(u) = -7*t(u) - 3*y(u). Give q(d(k)).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**3 + 676*c**2 + 29548*c + 82668 = 0.\nAnswer: -83, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -13806*m + 52*m**3 + 13811*m - 19*m**3 + 17*m**3 - 3*m**2 as p*m + f*m**2 + l*m**3 + w and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2.15, -1\/10, 0 in increasing order.\nAnswer: -2.15, -1\/10, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 147086?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/43552? (a) 0.5 (b) 2\/3 (c) -2\/7 (d) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 10:19 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-6)*(4 - 28)\/1. Suppose 1063 = j*b - 849. List the prime factors of b.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -613.3 less than 156797?\nAnswer: 157410.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2145 + 2145 + 10*i**4 + (0 + 2 - 1)*(-6*i + 6*i + i**4).\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 608809 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/132*-22*18\/(-80)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/(sqrt(144)\/sqrt(4)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c - 3. What is the remainder when 26 is divided by q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**4 - 5*i**3 - 5*i**2 - 5*i + 10. Let f(q) = -q**4 - q**3 - q**2 - q + 1. Let j(c) = 5*f(c) - y(c). Find the first derivative of j(o) wrt o.\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 285469850 to the nearest 100000.\nAnswer: 285500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 + -2 - (5 + -7). Solve 5*v + 4*p - 17 = -46, -k*v + 3*p = 12 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -52 + 50. Let x = 4 + z. Suppose -h = -x*h + 9. What is the remainder when 26 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3034 and -0.01.\nAnswer: 30.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 5, 32, 7 in increasing order.\nAnswer: 0, 3, 5, 7, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/3 + 409*d + 340850\/3.\nAnswer: (d + 425)*(d + 802)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 32*i + 969.\nAnswer: -(i - 19)*(i + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbrbqnznnbbnnbnbbnaz. Give prob of picking 3 b.\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1330*a = 200*a + 777*a - 25416 for a.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.1, 4, -79, 7, 4\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/5 + 8*c**2\/5 - 2*c\/5 - 8\/5.\nAnswer: 2*(c - 1)*(c + 1)*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3243)\/(-5405) + (264\/(-80))\/((-3)\/(-16))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e9981a4 + -3?\nAnswer: -5e9981a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 3*p**2 + 4*p + 4. Let t be v(-4). Suppose -t*b - 18 = -2*d, 2*b + 2*b = -4*d. Suppose d = 3*n - 3. Solve -j + 0 = -n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 - 32\/17 - (0 + 2). Let m = -96 + 95.6. What is the nearest to -2\/9 in 0.08, m, u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -21*l + 18. Suppose 0 = m + 7*m - m. Let y be w(m). What is the greatest common divisor of y and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sy when two letters picked without replacement from {s: 2, y: 4, h: 5}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122700 is divided by 472?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -36, -49, -64, -81, -100?\n\"Answer: -b**2 - 8*b - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 14) to base 12.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2437 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 3*n = -12. Suppose -n*q = -0*q - 5*v + 17, -5 = -v. What is the first derivative of q + 2 + 2*y**3 - 3 wrt y?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 divided by -21801.\nAnswer: 391\/21801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (32 + -63)) + 6\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -16, -37, -66, -103, -148?\n\"Answer: -4*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -822, -810, -806, -822, -870, -962, -1110?\nAnswer: -1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57600?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = 5*k, -2*g - 13 = -5*k - 3*g. Let q be 0\/(0\/1 - k) + 5. Let j be 2*q*(392 + 8). What is j rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -57.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14758981?\nAnswer: 14758981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 5 = -2453*v + 2454*v - 3*i, 3*v = -4*i - 8 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 6*f = a, -2*f = -4*a. Solve 15 = -f*j + 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -63\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 8*m + 7. Let w(a) = 10 - 5*a + 45 + a**3 + 4*a. What is the remainder when w(0) is divided by p(-7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23184 divided by -6?\nAnswer: 3864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 e, and 1 r when three letters picked without replacement from {m: 6, k: 1, w: 5, r: 2, e: 1}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - d**2 + 12*d. Suppose 38 = -3*q + 143. Let j = q + -40. What is the units digit of v(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y - 1. Let n(l) = 8*l + 4. Let i = -113 - -115. Calculate i*n(c) + 9*w(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 4*q**4 - 2*q**4)*(-q + 2*q - 4*q + q + q - 3*q + (-2 + 2 - 2)*(2*q - 2*q + q)).\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8651 is divided by 129.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 (base 9) in base 5?\nAnswer: -2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210112 is divided by 2044.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (120 - 120 - 13*v)*(111*v + 261*v + 232*v)*(-4 + 3 + 2).\nAnswer: -7852*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55 + -55. Is 3\/(-5)*y\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 11) to base 12.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (78\/(-15) - -4)*(-60)\/18. Solve 2*n - 20 = -4*j, 21 = 5*j - 4*n - f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222000 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*n + 0 - 4 - 4)*(-2 + 7 - 3 + (1 - 4 + 2)*(1 + 3 - 3))*(2 + 3 - 3) to g*n + k and give k.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1133685.982 to the nearest one hundred.\nAnswer: 1133700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 64 - 388. Let x = w + 456. Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7512 divided by -3756\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + l = 2*l + 337, -5*r + 435 = -4*l. What is the remainder when r is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -46410900328 and 1.2.\nAnswer: -46410900326.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 2726185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = l + l. Let f = -166.995 - 0.005. Let j = f + 162. Sort -3, l, j in decreasing order.\nAnswer: l, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6*p**3 - 4*p**2 + 3*p + 4. Determine v(2).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 15*o**2 - 6*o - 33. Let w(k) = -k + 16. Let y be w(31). What is the units digit of s(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 3\/2, 1, -1, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(2\/21)*o**(1\/3)*o**(-2)\/o**(1\/2) assuming o is positive.\nAnswer: o**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 12:05 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeoeccneecnec. Give prob of picking 1 o and 1 e.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -7*t**2 + 4. Let w(u) = 20*u**2 - 11. Let y(x) = 11*o(x) + 4*w(x). Let b(s) = -s + 0*s + 2*s. Determine b(y(g)).\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*v**3 - 3*v**2 + 14*v**2 + 13*v - 13*v.\nAnswer: -109*v**3 + 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -7, -9, -1 in decreasing order.\nAnswer: -1, -7, -9, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.1239 hours in seconds?\nAnswer: 155246.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426*z**3 - 37*z - 858*z**3 + 415*z**3 + 37*z.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 28*b**2 - 1 + 7 + 16*b.\nAnswer: -28*b**2 + 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 178565591 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1097118?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 + -9. Suppose 5*w = -f*c + 53, c - 37 - 2 = -5*w. Calculate the greatest common factor of 112 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 247?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**2 + 3*y**2 - 3 - 3*y - y**3 - 2*y**4 + 5 - 1 in the form v*y + s*y**3 + x*y**2 + p + d*y**4 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, v: 1, c: 2, h: 2, o: 1, j: 1}. Give prob of sequence co.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -177?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -14*w + 900. Calculate the highest common factor of 25 and w.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o**2 + 199*o - 1134. Give m(13).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 264 and 802641?\nAnswer: 211897224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 175437429 a multiple of 359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551 = -70*h - 289 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -146 - -149. Let g = -5 - 2. What is the smallest value in g, y, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 45 = 6*k. Let p be (k\/12)\/((812\/16)\/7). Is 0 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.96 - -0.04. What is the second smallest value in f, 5, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -48. What is the least common multiple of (-3 - v)*(6 + -1) and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419832 - 74557*w**3 + 419832.\nAnswer: -74557*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 51*l - 2343. Give o(48).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 28 - 75)*(4*b - 3*b + 0*b)*(1 + 1 + 0).\nAnswer: -226*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*q + 0*q - 4*q)*(-6 + 3 + 2) + 3 + 0 + 7*q - 2)*(5*q - 4*q + 11*q).\nAnswer: 108*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/3, -1, 9.3, -5 in increasing order.\nAnswer: -5, -1, -2\/3, 0, 9.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 84 = -2*b, -c = 7*b - 3*b + 42. Let j = 44 + c. Suppose -3*r = -7*r. Solve -3*s - j*s + 20 = r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5444.085 millilitres to litres.\nAnswer: 5.444085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2526102 = 76*p - 2526178 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) 106\/9 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12387)\/54)\/((-2)\/(-141)). Let r = 16181 + l. What is the common denominator of r and 101\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 6. Suppose 83*r - 69*r = 0. Let x(z) be the third derivative of r*z - 5\/6*z**3 - z**2 - 1\/60*z**5 + 0 + 0*z**4. Calculate -6*x(a) + 5*y(a).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from xaaxxxxx?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/4))**(1\/3)\/((m\/(m**(-5)*m)*m*m)\/(m\/(m**(-2\/11)\/m))) assuming m is positive.\nAnswer: m**(-647\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564.956us to seconds.\nAnswer: 0.000564956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 2, t: 1, g: 1}. Give prob of sequence gtd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 163493\/48 + -3407. Find the common denominator of 139\/48 and x.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 6. Let i = -1.16 + 5.03. Let t = i - -0.13. What is the nearest to h in -3, t, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*q + 4, -2*w = -5*q + 7 - 8. Let r be ((-2)\/(-5)*-1)\/(w\/(-30)). Solve -r*y - 2*y = -24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 738335 to the power of 1\/2, to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 8:14 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375 is divided by 72.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 285*c**2 - 76*c - 228. Let h(d) = 19*d**2 - 5*d - 15. Let g(m) = -76*h(m) + 5*t(m). Suppose -4*z + 6 = -2. Let b(r) = -1 + z - r - 1. Give b(g(x)).\nAnswer: 19*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3953 and 1407?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4063*h**2 + 2691*h**3 - 573*h + 284*h - 316*h**2 + 289*h wrt h.\nAnswer: 16146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 - 382 - (-222)\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*h - 747*h - 2078*h.\nAnswer: -2754*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185 - -18. Let n be 798\/d - -2 - 6. Which is the third biggest value? (a) -3 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 0, -5, -10, -15?\n\"Answer: -5*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 13 - 1. Solve z*y - 14 = -2*i, -9*i = -4*i - 20 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*c + 10*c + 0*c - 10295188*c**2.\nAnswer: -10295188*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2156 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + 26*b**2 - 147*b + 52. What is u(8)?\nAnswer: 2076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198 - 70?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*s + 20 = 18*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + 19. Suppose 5*i + 5 = 5*r, 0 = -2*i + 3*r - 7*r + u. Let -4\/3*b**2 + 2\/3*b**i + 2\/3*b**5 - 4\/3*b**3 + 2\/3*b + 2\/3 = 0. Calculate b.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-8)*g**(12\/11)\/g*g**(-30)*g**5 assuming g is positive.\nAnswer: g**(-362\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*b**2*s**2 + 4*b**2*s - 342966*b**2 + 20*b + 23908*s**2 + 3 wrt s.\nAnswer: 6*b**2*s + 4*b**2 + 47816*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - -1001000100111?\nAnswer: 1001000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 9 + 1 + -2 - 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -38*x. Let l(s) = 62*s - 3. Determine l(w(q)).\nAnswer: -2356*q - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1291 + 776. Is 22 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 15) + (-22 + 0 - (12 - (27 - 1))).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence orm when three letters picked without replacement from oooouvoormvmv?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 544 is divided by 101.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(-1))\/(8\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -8*b**3 + b**2 + 3*b - 3. Calculate i(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -238229 - 0?\nAnswer: -238229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 644083853 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -224*(-133)\/(23275\/50)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k**3 - 19*k**3 - 16*k**3 + 7*k**3.\nAnswer: -49*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p. Let q(j) = -35316*j. Calculate x(q(w)).\nAnswer: -35316*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 24 = -3*s, 3*s + 2*x + 64 = 7*x. Suppose -3 = g + 1. Which is the smallest value? (a) -1\/8 (b) g (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v + 5. Let r(t) = -8*t - 6. Let z(y) = -6*k(y) - 5*r(y). Let g be z(-4). Suppose g = 3*i - 40. Is 16 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2, 3\/4, -5, -0.28911?\nAnswer: -0.28911","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 501415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a**4 + 4*a**2 + 178*a + 1698771 wrt a?\nAnswer: -12*a**3 + 8*a + 178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n + 14. Let o be k(0). What is the biggest value in 0, 0.2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - q + 2 = -2, 0 = 5*z - q - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2053?\nAnswer: 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2457*u - 2206. Is p(-55) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(2*14\/(-28))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6749 divided by -2.\nAnswer: -6749\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 + 4016*j + 980320.\nAnswer: -2*(j - 2228)*(j + 220)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2417644 is divided by 805857.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -54*-516.296\nAnswer: 27879.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8132 + -8131.99996733. What is l rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(57) - (sqrt(8208)*-3 + sqrt(57))) + (sqrt(57) - -2*(sqrt(57) + -1*sqrt(57))))\/(4*sqrt(108) + sqrt(3) + (sqrt(3) - sqrt(12)\/(sqrt(20)\/sqrt(5)))).\nAnswer: 37*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133564 + -81755. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 905 or 1037?\nAnswer: 1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43714032.\nAnswer: 2, 3, 910709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.034? (a) -1 (b) 1 (c) 0.3 (d) -7 (e) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -129\/70 and 11\/1064.\nAnswer: 5320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 2*i**2\/7 + 11992*i\/7 + 17976008\/7 = 0.\nAnswer: -2998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 4. Let a be c(-1). Let m be ((0\/2)\/a)\/2. Solve h - 7 = q, m*h + 18 = 4*h + q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 7 - (15 + -21).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -580 = 7*v - 545 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46094398*p**3 - 179936*p**2 - 72*p.\nAnswer: 276566388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3474 (base 9) in base 13?\nAnswer: -1234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36271567?\nAnswer: 449, 80783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -665, -661, -655, -647?\nAnswer: -637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*h - 21 - 767 = 0, -12 = -3*h. What is the highest common divisor of 96 and y?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 0*n**2 - 3*n**2 + 0*n**2 - 20*n + 24. Let m be z(-21). Suppose 126 = 6*v + m*v. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2626.912? (a) 5 (b) -2\/17 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1153311?\nAnswer: 3, 384437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 2*a**2 - 3*a - 3. Let k be y(-4). Suppose k = 2*s + 5*t, -s = -0*s - 5*t + 17. What is the smallest value in s, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**3 - p**2 - p + 3. Let q(w) = 6*w**3 - 2*w + 4. Let b(d) = -3*q(d) + 4*z(d). Solve b(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -119373 and -1.\nAnswer: -119374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67\/68 + 4\/17. Suppose 0 = 2*f - 5*x - 134, f = -4*f - x + 308. Let d be (-1)\/f*(1 + 3). Sort y, 3, d in descending order.\nAnswer: 3, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -2. Let a = q - -8. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254806091 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from {o: 4, n: 2, x: 10}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9792 - 5480. Is z a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -801.148 * 10\nAnswer: -8011.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/5 + (-2445)\/(-525)*161. What is the greatest common factor of b and 800?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z - 20. Let q be g(9). Is (q\/(-1))\/(14\/399) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = k - 35, 5*k - 7*m - 25 = -2*m. Suppose -1 = a, -t - k*a + 65 = -8*a. Calculate the remainder when 334 is divided by t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 7 + 0*b**4 - 4*b**2 - 3*b**3 - b**4 in the form p*b + w*b**3 + d + h*b**2 + g*b**4 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49197267?\nAnswer: 3, 7, 149, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - f = -2, -y - 6 = -3*y - f. Solve 3*s - 2 - y = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1083)\/(-33) + (-4)\/(-22). Suppose 0 = -a + 4*a - r. Let x = -86 - -207. Calculate the greatest common factor of x and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 - v. Let o(m) = 3*m**3 + 8*m**2 + 4*m - 14. Calculate -o(n) - 4*x(n).\nAnswer: n**3 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h**4 - 26*h**3 - 395*h.\nAnswer: -96*h**2 - 156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/158576 and -2\/24727945.\nAnswer: 395647120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*w + 190 - 9*w - 104 - 86.\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2934, 5872, 8810, 11748?\nAnswer: 14686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*r + 6*r + 3 = 0, -5*w = -5*r - 5. Let v(h) = -3*h - 17. Let z be v(-7). Sort w, z, -4, 2 in decreasing order.\nAnswer: z, 2, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-6))\/(165\/1485)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x = 5*y - 10*x - 23, -26 = -2*y + 4*x. Solve 3*w + w = -3*o, -w + o = y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 + -1.7. Let o = -337.15 - -333.15. What is the second smallest value in o, j, 5, 6\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 46*f + 351. Let l be w(36). Let d(k) = k**3 + 11*k**2 + 17*k + 6. Give d(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:01 PM?\nAnswer: 5:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 26*l**2 + 16*l + 6. Let p(q) = -q**2 - 9*q + 33. Let x be p(-13). Is y(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 894 divide 6435525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 3 + -3 - -127. Let u = v - 68. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188 and 282?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4352, -8584, -12694, -16694, -20596, -24412, -28154?\nAnswer: -31834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-4)*-2*5. Let k(w) = 5*w + 184*w**2 - 366*w**2 - 4 + 188*w**2 + w**3. What is k(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 7) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(3) + sqrt(3) + -4)**2 - sqrt(3) - -1*sqrt(432).\nAnswer: 43 + 35*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, g: 1, v: 2, e: 1, t: 1, r: 1}. What is prob of picking 1 v, 1 t, and 1 e?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -8, -17, -28, -41, -56, -73?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5046, 40225, 135716, 321675, 628258, 1085621?\n\"Answer: 5026*p**3 - 3*p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, o: 1, m: 2}. Give prob of picking 1 i and 1 o.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -2, -5, -3 in increasing order.\nAnswer: -5, -3, -2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 368580 greater than or equal to 1.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 5*h**2 + 8. Suppose -26*u + b + 2 = -27*u, 0 = -3*u + 2*b + 24. Let w(i) = i**3 + 6*i**2 + 7. What is u*w(f) - 5*k(f)?\nAnswer: -f**3 - f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 18 - 71 - b**2 - 15 - 13 in the form v*b**2 + z + u*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 44\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*f = 4, -4*x - 3*f = -13 - 11. Factor -3*y**x + 40*y**2 - 15*y**2 + 8*y**3.\nAnswer: 5*y**2*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, 98, 364, 882, 1736, 3010, 4788, 7154?\n\"Answer: 14*w**3 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1\/17, 182, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303*h = 306*h - 6. Let b(r) be the first derivative of 8\/3*r - 30 + 4*r**3 + 4\/15*r**5 + 14\/3*r**h + 5\/3*r**4. Find l, given that b(l) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 1. Let m be c(4). Suppose -u - m*v + 6 = -v, -5*u + 5*v = -15. Solve 0 = 2*o - 2 - u for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 3*r + 691 = -436. What is the smallest common multiple of 299 and r?\nAnswer: 2093","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 4) to base 10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t + 19*t**2 + 7*t - 12*t in the form l + y*t**2 + b*t and give y.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/12 + (0 - 5\/(-15)). Suppose y = 3*r - 4*k - 28, 6*k - k = 3*r - 32. Let h(v) = -2. Let g(x) = -x**2 - 7. Determine r*g(u) - 14*h(u).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - g - 1. Let b be n(3). Solve -7*a + b*a = 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 618435 + 587455 = 2*t + 4*f, 4*t + 3*f - 2411740 = 0. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (3 - (-5 - -4))) + -4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000160343 to 5 dps.\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*f**2 + 77 - 77 to y + i*f + d*f**2 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 + 4*i - 1. Suppose -2*c + 4 = 0, n - 13*c + 8*c = -14. Calculate r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7062 - 7030. Solve -16*i + y + 48 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 2 - 2 + 1)*(100*k - 214*k + 104*k).\nAnswer: -10*k**2 - 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(72)\/sqrt(3))\/(sqrt(96)\/(sqrt(8)*-1)) + (sqrt(1200)*1)\/(sqrt(6)*-1*1).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 619 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 AM and 6:45 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3333 (base 9) in base 6?\nAnswer: -15220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14048 + 7257. What are the prime factors of a?\nAnswer: 5, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4 - -24 - (0 + 1 - -2). Suppose -5*z + 20 = m + 3*m, -j = 2*z - 5*m. Suppose z = 4*c - 97 - 99. What are the prime factors of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a**2. Let b(d) be the third derivative of d**4\/8 + 12*d**2. Determine g(b(j)).\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 2*r. Let c be j(-1). Let k = 6 + c. Put -3, k, -1\/2 in descending order.\nAnswer: k, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00054268 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*t - 20. Suppose -3*c = 3*s - c - 10, 4*s = t*c. Suppose l + 3 = 3*u - l, 5*u - 4*l - 5 = 0. Calculate the highest common factor of u and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 543, 4, 1\/2, -4.\nAnswer: -4, -3, 1\/2, 4, 5, 543","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -10*k - 20. Let r be u(10). Let n be ((-8)\/12)\/(-2 - r\/63). What is the greatest common divisor of n and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175000 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 25*w**2 - 65*w - 65. Let n(z) = -4*z**2 + 11*z + 11. Let l(s) = -35*n(s) - 6*r(s). Suppose l(m) = 0. What is m?\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 3030 = 5*u - 0*u, 4*u + 3027 = 5*k. List the prime factors of k.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22779717?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 229*o + 21224. What is c(71)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - l + 4*l - l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - v + 2. Calculate p(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -3.14.\nAnswer: -9.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12191 is divided by 67.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(65)\/sqrt(5)*-2 + sqrt(13) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 921 and 26348.\nAnswer: 24266508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 4*f. Let z(k) = -k**3 + k**2 + k. Let o(r) be the first derivative of -3*r**4\/2 + 2*r**3\/3 + r**2 + 313. What is f*o(d) + 2*z(d)?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000178032176 rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -5*u**8\/56 + 5*u**4\/6 + 4*u. What is the third derivative of c(g) wrt g?\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -5, 0.2, -3, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/5 + 56898*f\/5 + 269781867\/5 = 0.\nAnswer: -9483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 32393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v**2. Let a(s) = 905497089*s**2. What is a(f(q))?\nAnswer: 3621988356*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11476, 11466, 11456?\n\"Answer: -10*j + 11486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -202. Let u(y) be the first derivative of y**4 + k*y**2 - 2*y**4 + 29 - 120*y**2. Factor u(c).\nAnswer: -4*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 38.7604?\nAnswer: -116.2812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 8*z + 3. Let l(v) = -6*v**2 + 40*v + 14. Suppose 0 = -0*d - 4*d - 12. Let g(h) = d*l(h) + 16*m(h). Suppose g(r) = 0. Calculate r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15990 - -2529. Is -13461 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/720 + 11*s**4\/12 - 7*s. Let k(c) be the third derivative of p(c). Give k(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -0*d + 3*a + 6, 9 = -4*d + a. Let t be d\/(-2 - -3 - 2). Suppose -5*x - u = -13, 3*x = x - t*u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 23 + -2 + -3 - -1. Suppose 4*q - 5*a = 14, 5*a - f = -5*q + 21. Suppose 1 = -n - 4*v, q = n + 3*v + 2. What is the greatest common factor of n and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39590808 divided by 9897702?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((387\/(-9))\/(-129))\/(3\/(-207))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426864 + 6*h**3 + 426864.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*9\/(-324)*3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -59. Suppose 3*i + 2*i = -3*f - 94, 5*i + 2*f + 91 = 0. Let o = u + i. Solve 2*y = o*p + 2*p + 5, 2*y - 4*p - 2 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**2 + 5. Let r = 1 - -1. Let h(n) = -14 + 11*n + 4*n + 5*n**r - 16*n. Calculate 3*h(c) + 8*o(c).\nAnswer: -c**2 - 3*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2*k**4\/9 - 3962*k**3\/9 - 274300*k**2\/9 - 90112*k\/3 = 0?\nAnswer: -66, -1, 0, 2048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2457 + 2624. Are 160 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 635, 636, 635, 632, 627, 620?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -88. Let r = -1991 - -2135. What is the remainder when r is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*g + 651 = 209*g - 1089 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 152*u**2 - 18*u - 65. Let t be r(20). Suppose 5*j - 2*k = t, 5*j - 5053 = -k + 55307. Let l = -7086 + j. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8746*p**2 + 4361*p.\nAnswer: 17492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ngotos.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -35313, -35318, -35327, -35340?\n\"Answer: -2*b**2 + b - 35312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -40*g**3 - g**2 + 2*g. Calculate the remainder when 219 is divided by l(-1).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/12 + -41\/60. Let g = 7 + -1. Let o be (8\/30)\/(4\/g). Sort v, o, -3 in increasing order.\nAnswer: -3, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 2*x**3\/3 + x**2 + 883*x. Let p(r) be the third derivative of r**4\/8 + r**3\/6 + 4*r**2. Determine -2*o(z) + 3*p(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 214 = 4*l - i, -3*l = -5*i - 175. Let g = l + -33. Suppose 0 = -5*q + 4*p + 20, q - 2 + g = -4*p. Solve q*j - 3*j + 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-1))\/(17 - 14). Suppose -k - 4*k - 4*j - 12 = n, -3*k - 14 = -j. What is the second biggest value in k, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1625 = -0*u. Suppose 0 = 14*n - 9*n + u. Let b = 458 + n. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1382648*g**2*i**2 - 2*g**2 + 2*g*i**2 + 738313*g*i - 2*i**2 wrt g.\nAnswer: 2765296*i**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 102 - 10*m - 102 - 3*m - m + 3*m + (-m + m - 2*m)*(-1 + 0 + 3) - m + 4*m - 4*m + 4*m + 19*m - 2*m to the form i*m + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l + 959 + 148. Let p = l + 196. What is the remainder when 291 is divided by p?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.63 + -3.37\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(2\/5)\/((-8)\/50). Suppose -2 = 2*f + 2*q + 2*q, -f + 19 = -3*q. Solve 0 = m*v + i + 5, -3*i = 4*v - f*i + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.5 - 14. Let o = t - 2.3. Let l be (-1)\/3*(-12)\/(-22). Which is the closest to 0? (a) l (b) -0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34404\/19 - -1810. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 0*p**4 + 0*p - 300*p**2 + 0 - 77\/6*p**3 - 11\/30*p**7 - 1\/40*p**6 + 0*p**5. What is the first derivative of c(n) wrt n?\nAnswer: -308*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4 from -46417821.\nAnswer: -46417819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1203, 1201, 1199, 1197, 1195, 1193?\n\"Answer: -2*r + 1205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-86688)\/18060)\/((-2)\/(-5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*k - 18, 2*k - 2*o + o + 6 = 0. Let a = k - -33. Solve x + 4*x + 2*l - a = 0, l = -4*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - n = 5, 3*x - 4*n - 13 = n. Let s(y) = y**2 + y. Let z(h) = 3*h**2 + 2*h. Determine x*z(c) - 2*s(c).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1968*k + 39*k + 5 + 3 - 8)*(16 + 8 + 1 + (-3 + 0 + 5)*(-2 - 4 + 4)) in the form y + b*k and give b.\nAnswer: -40509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x - 8*x - 8*x to o*x + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*c + 25 = 52*c. Let n(j) = -j**3 - 6*j**2 - 6*j. Let q be n(c). Solve -f + 1 = -3, 10 = -q*z + 5*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-4\/3)\/k)\/k**7)\/(k**(1\/5)*k**(-7)*k)*(k*(k*k**(-2))\/k*k)**(-3\/5)\/((k\/(k**(-2)\/k))\/k)**(-36) assuming k is positive.\nAnswer: k**(1567\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1, 10, 29, 56, 91, 134?\n\"Answer: 4*g**2 - g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*j, p = 3*j - 16. Let r(m) = -m**3 - 5*m**2 - 4*m + 3. Let l be r(p). Solve -1 = l*t - 2*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290557 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1244984 to the nearest 100000.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1649 divided by -97\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 10*t**2 - 10*t - 8. Let c be z(-11). Let g = 29 + c. Calculate the greatest common divisor of 80 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015040337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*g**2 + 6*g**2 - 4*g**2 + 18 - 2*g**2.\nAnswer: 2*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzbzbz. What is prob of sequence zz?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 3. Let k(b) = -b - 1. Let y(j) = 2*f(j) - 7*k(j). Let x be (5 + -6)\/(2\/(-10)). Does 8 divide y(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 439498 divided by -2\nAnswer: -219749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (105\/525 - (-2)\/(-4))\/3. Let u = 4 + -7. Let r = 2 - 9. Which is the third biggest value? (a) r (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9245 = 441*u - 226*u for u.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4714 is divided by 470.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.617 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1480209 + -1480177. Suppose -2*o - o = -576. What is the greatest common factor of o and g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = -b, -30*y + 12 = 2*b - 34*y. Suppose -2*i - 676 = -b*i. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(220)*2)\/sqrt(11) - (2*sqrt(160))\/sqrt(8))*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + (-1 - -10) - 1. Let h = y + 7. Suppose q + w - h = -5, -12 = -q + 5*w. Solve p + q = 4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5\/3 - 4*x**4 - 8*x**3 - 20*x**2\/3 - 2*x.\nAnswer: -2*x*(x + 1)**3*(x + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 14*n**2 - 4*n + 7. Let g = 2 + 0. Suppose g*z = 3*z - 6. Is h(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68.7 + 589.\nAnswer: 520.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 PM and 8:23 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.494687684194 take away -0.1?\nAnswer: -0.394687684194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3216 and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - k**2 + k + 10. Let p(v) = -v**2 - 4*v - 7. Let y(g) = g**3 - 4*g**2 + g + 3. Let s be y(2). Let m be p(s). Let r = -4 - m. Calculate x(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 6*r - 16. Let z be l(11). Suppose 0 = -2*v + 5*t + 85, 5*v - 4*t = 271 - z. What is the highest common divisor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/4 and 4\/14 - (-324)\/140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -865043 (base 11) in base 3?\nAnswer: -2121021001121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/(-72))\/((-48)\/(-288))*3.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171 = -2*q + 157 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33695 divided by -6739.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -t**3\/3 - 5*t**2\/2 - 3. Let u be a(-5). Suppose 0*b + 3*b - 15 = u. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/33, -17, -3.\nAnswer: -17, -3, -2, 2\/33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 2*p - 0*p + 35, 5*u - 2*p = 15. Suppose -3*l = -5*g - 65, -u*l + 2*g + 87 = -g. Is 6315\/9 + (-10)\/l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*v + 33637 + 17843 = 0. What is the highest common divisor of v and 936?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -12a?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 15*p**2 + 1767*p + 8. Let b(k) = 9*k**2 + 1178*k + 5. Give -8*b(z) + 5*r(z).\nAnswer: 3*z**2 - 589*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6\/11)\/z*z)\/z*z\/(z\/z**(-6))*z)\/(z**3\/(z\/(z\/(z\/(z\/z**4*z))))))\/(z**(2\/9)\/((z\/(z**(-2)\/z))\/z)*(((z*z**(-1))\/z)\/z)**(-35)) assuming z is positive.\nAnswer: z**(-7303\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 676.863 - -5.337. What is l rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - -17 - 12 - (-7 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 12:05 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6\/(-39) - (-33)\/(-39))*-47. Let v(d) = 19*d + 374. What is the hundreds digit of v(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4780*o*q**3 + 2*o*q**2 + 532*o*q wrt q?\nAnswer: 28680*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8711*w**4 - 195.\nAnswer: -34844*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.0113 + -0.0113. Let h = -30 - -26. Put 6\/7, h, m, -1\/4 in ascending order.\nAnswer: h, -1\/4, 6\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 24 = 5*i. Suppose -j + 9 = i. Let h be ((-3)\/2 + j)*6. Which is the closest to -1? (a) 1\/10 (b) h (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 3)*(-2 + 2 - 1)*(2*c + 3*c - 6*c) in the form k*c + f and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231 + 352. Calculate the highest common divisor of j and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 7*x + 5. Let u(v) = v**2 + 4*v + 2. Let t(n) = 2*f(n) - 5*u(n). Find the second derivative of t(q) wrt q.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2440855, 4881592, 7322331, 9763072, 12203815, 14644560, 17085307?\n\"Answer: o**2 + 2440734*o + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -695\/10498 - 1\/362. Which is the third biggest value? (a) p (b) 2\/13 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 658788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*v**2 - 326*v - 340*v + 1000*v - 334*v.\nAnswer: 111*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4114036 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 23)*-2 - 4\/(-1). Let k be 3 + (-111)\/39 - p\/234. Which is the closest to 1? (a) -0.2 (b) k (c) -1 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -2\/35*w**5 - 2\/21*w**3 + 3\/14*w**4 + 20 - 3\/7*w**2 + 4\/7*w. Let d(k) = 0. What is k?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165963707.\nAnswer: 7, 13, 17, 71, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 5 = -a, -2*a - 78*f + 81*f = 25 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1140, -1, 1, -6, 16, -5 in decreasing order.\nAnswer: 16, 1, -1, -5, -6, -1140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 5*b**2 + 7*b - 3. Let v be o(6). Solve -c**3 + 2*c - 5*c**3 + 2 - c**v + 5*c**3 - 2*c**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1070, -1778, -2956, -4604, -6722, -9310, -12368?\nAnswer: -15896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -42. Solve v - l = -c, -l - 3 + 2 = -2*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 305*z**2 - 3 wrt z?\nAnswer: 610*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1.14 (b) -6 (c) -1\/3 (d) -4 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 10. Let u(b) = 7449*b. Give u(d(r)).\nAnswer: -7449*r - 74490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1576 and 1?\nAnswer: 1576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2994028159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h + 0*h - 36*h**2 to d*h + y + x*h**2 and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8075 + 15558. Is 36 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from ddkdkdddddddd?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -3448618?\nAnswer: 4\/1724309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22, 65, 128, 211, 314, 437?\n\"Answer: 10*n**2 + 13*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**2\/2 - 4*a + 356. Let t(l) = 20*l**2. Calculate t(u(h)).\nAnswer: 20*h**2 - 160*h + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -6.05. Let w = -0.04996 + q. Round w to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -18. What are the prime factors of ((-3)\/c)\/(5\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 2\/3 (c) -84 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/22 and -115\/198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3*-591 - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -0.061, -0.04, -0.056?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15326 + 15323. What is the closest to 1 in -2\/17, d, -0.045, 15?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 0 + 1\/12*z**4 + 0*z**3 + 2*z + 0*z**2. Let a(g) = 0*g - 2*g + 0*g. Calculate f(a(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1657531 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 19837101*k**2 + 21832*k - 65496. Let r(v) = -2726*v**2 - 3*v + 9. What is -3*f(h) - 21832*r(h)?\nAnswer: 2729*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1977212\/11 or 179746?\nAnswer: 179746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -27. Let z = -0.1 + 0.5. What is the closest to p in -2, 3, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) 1\/4 (b) -0.3 (c) 4\/3 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/8))**35\/(u**(-2\/9))**(3\/26) assuming u is positive.\nAnswer: u**(-1357\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.72 - -60.72. Sort -0.2, -3, i in descending order.\nAnswer: i, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/11 in 1, 3, 1759\/14, -5\/3, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-1\/17))\/i**(-4)*(i**(-3))**(1\/16))**18)**(1\/4) assuming i is positive.\nAnswer: i**(14085\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let a be w(4). Let l = -14694 - -14715. Solve 3*g - 5*j = -22, 4*g + l = a*j + j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*c - 2*h - 10 = 0, -c - 4*h = 11. Let o = 3 + -1. Sort c, 5, o in increasing order.\nAnswer: c, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72547?\nAnswer: 72547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 190310373\nAnswer: -38062074.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1245655.000256 - -1245613. Let u = -42 - v. What is u rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nennenmnmeneen. Give prob of sequence ee.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3 = 3*z + 1, 25 = 5*k. Suppose 27 = 4*v - 5*y, 0 = -4*v + 3*v + z*y + 6. Let n(h) = -h - v + 2 + 2*h. Give n(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -462198, -462171, -462100, -461961, -461730, -461383?\nAnswer: -460896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0369 from -0.182.\nAnswer: -0.2189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3730*z + 7343*z - 3768*z + 2754*z**3 + 9941*z**3 wrt z.\nAnswer: 76170*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-31460)\/(-396))\/(-55)*-9.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2205 divided by 441.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 j when three letters picked without replacement from nnjnnj?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45 - 44. Let b = -3.4 + y. Round b to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**2 + 6*i + 5. Let n(w) = 10*w + 48. Let p be n(-5). What is the remainder when s(p) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2*s - 2*l**2 + 27*l*s**3 + 2*l - 11589*s**3 wrt l?\nAnswer: -4*l*s - 4*l + 27*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-66) + 13\/(-11). Let q(b) = -b - 9. Let u be q(-7). Which is greater: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 0 + -5 + sqrt(204)\/(2*sqrt(12)).\nAnswer: -5 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v - 3*n - 5, -5*v + 13 = -n. Let w be 55\/(-20) + (-2)\/8. Let q be 4\/(2*w\/(-6)). Put -1, q, v in ascending order.\nAnswer: -1, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 6*q**2 - 3*q - 5. Let v(k) = -k**2 - 2. Let i be v(-2). Let z be u(i). Let g(d) = -d**2 - 9*d - 5. Let p be g(-8). Solve -4*y = p + z for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 5885\nAnswer: 5884.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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 i = 0.006 + 1.994. Let u = i + 102. Is u greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 4*d**2 - 3*d + 4. Give y(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (956 - 936) + (0 - 36).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t. Suppose -2*r - 16 = 4*g, r + 0*g = 3*g + 12. Let i(o) be the first derivative of 3 + 0*o**2 + 1\/3*o**3 + r*o. Determine u(i(a)).\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.10000156 + 4.1. Round p to 7 decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 80.65389 nanometers?\nAnswer: 0.00000008065389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**3\/3 + 85*m**2 - 2896*m\/3 + 2660 = 0.\nAnswer: -266, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -45 (c) -372727\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.1 (b) 0.05 (c) -2\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - ((-42)\/(-6) + -8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-8)*(-17 - -5). Find the first derivative of -21*h + 6 - r*h - 8*h + 13 wrt h.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -1 - (-12)\/10. Let i = -34 + 20. Let x be 6\/(-27) - i\/63. Is u less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1.6. Let a = 0.02 + 0.63. Let g = a - 0.15. What is the closest to -1 in 5, t, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6689 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -13*y**5\/30 - 7*y**4\/8 + 22*y**2. Find the second derivative of d(f) wrt f.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584595 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1506 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*p - 24 = 0, 4*q - p = 1294 - 1295 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125507 (base 10) in base 9?\nAnswer: 211142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - 116\/(-20))*15\/6. Solve 3*b - 3 = -4*v, b - 4 + 3 = -q*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43574 (base 9) to base 14\nAnswer: a767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2. Let i(h) be the third derivative of -3*h**4\/8 + 13*h**2. Determine i(k(b)).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -11261*u**6\/120 - 223*u**5\/30 - u**3\/6 - 36*u**2 + 38*u. Find the third derivative of r(j) wrt j.\nAnswer: -67566","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-6) + 27\/(-12))\/(7\/(-14))?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1810.4196 to the nearest 10.\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 = -3*m + 14, 4*x + 4*m - 20 = 0. Suppose 5*i + 4*h - 97 = 300, -i + x*h + 87 = 0. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-28)\/(-42))\/((-4)\/3)*-1852 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -11 + (3 - (0 + 0)) + 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 11097818.4 to the nearest 10000.\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233403 is divided by 1742?\nAnswer: 1717","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Suppose 3*j + 4*l = -l - 27, y*j = l - 9. Let k(b) = 2*b**2 - 5*b - 1. What is the remainder when k(j) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 53 and 985168187?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 1 + 0 = -z, -4*r = -5*z - 27. Suppose 0*i + 28 = -2*i. What is the units digit of (-33)\/z - 4\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 22*p**3 + 3*p**2 + 16. What are the prime factors of w(4)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/((-4)\/(-24)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2576, -2556, -2574, -2624, -2700?\nAnswer: -2796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8135684 * 0.3\nAnswer: -2440705.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -62, -4, 0.9, -0.4, 0.92, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 9*u**2 - 10*u + 2. Let b be g(-10). Let v be 57\/b - (-2)\/4. Suppose -5*x + v = i + 3*i, -2*i + 11 = -x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.78 (b) -17\/6 (c) 2 (d) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 21010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 2*b - 44. Let k(o) = -o**2 + o + 47. Determine -4*c(a) - 5*k(a).\nAnswer: a**2 + 3*a - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148948 and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.35472032 to 3 decimal places.\nAnswer: 4.355","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 - 128*n**2 + 382*n\/3.\nAnswer: 2*n*(n - 191)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101015 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -177*f - 24. Let l be j(-4). Let z = l + -271. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w + 12. Let p be c(-10). Suppose u + 1 = 3*g, -2*u + 1 = -p*g - 5. Solve -3*z - g*y = 4 - 0, -y = -5*z - 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -472, -707, -942, -1177, -1412?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnqnnnfrtfrcncnfrn. What is prob of sequence cqfc?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25, 3\/8, 9338?\nAnswer: 9338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12030124343 (base 5) in base 7?\nAnswer: 226146334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63746, -257921, -581538, -1034591, -1617074, -2328981, -3170306, -4141043?\nAnswer: -5241186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 13. Let a be 44\/w + (-2)\/(-6). List the prime factors of (a\/3)\/(4\/36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 361 - 55 = -68*z - 578 for z.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, q: 3, c: 6, u: 2, m: 2}. Give prob of picking 2 m and 2 u.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 + 18*u - 40 + 35 + 27.\nAnswer: 18*u + 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 1 (c) -236 (d) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 20 = k. Let o be 11 + 6\/(3 + k). Calculate the highest common divisor of 20 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-54 + 54 + 31*y**2)*(4*y - 6*y + 4*y) - 2*y**2 + 10*y**3 - 13*y**3 + 6*y**3 - 1 + y as f*y**2 + z*y**3 + d + w*y and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 144627 and 31719.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 252\/5*205\/123.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**3 + 102*f**2 - 29*f + 993. Calculate the lowest common multiple of 1239 and s(50).\nAnswer: 13629","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/12*(-51)\/(-34). Suppose 0*i = -3*i + 6. Suppose -u*n = -4*x - 458, 5*x - 3*x + 452 = i*n. What are the prime factors of n?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 618 and 8858.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -287824 or -287934?\nAnswer: -287824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 12) to base 13\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11360 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -154 + 279. Suppose -b = -7*w + 2*w. Calculate the remainder when w is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2285, -2286, -2287?\nAnswer: -2288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590c5 (base 13) to base 7.\nAnswer: 1245313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44.23 - 47.23. Sort v, -68, 3\/10, 3\/5 in descending order.\nAnswer: 3\/5, 3\/10, v, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42344\/5? (a) 2 (b) -0.5 (c) 2\/15 (d) 226 (e) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -131*m - 241*m + 5952 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009091 to 4 dps.\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -2.5. Let a = 52.63 - 52.13. What is the smallest value in a, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22352736565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**3 + 2403*z**2 + 4802*z = 0?\nAnswer: -2401, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/35)\/((169\/260)\/(-13))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of 3*f**2 + 0 + 59*f + 1\/2*f**3. Give s(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 11555141*h - 23 = 11555136*h, 5*h = -m + 31 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*s**3 - 20*s**2 + 9*s**2 + 44 + 12*s**2 + 38 + 4*s**3 - 3*s in the form l + o*s + q*s**2 + d*s**3 and give l.\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 178 = 5*h, 208 = 5*h - 2*v + 39. Let q = h - 247\/7. Let c be 120\/(-48) + 78\/28. What is the nearest to c in q, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119758116.\nAnswer: 2, 3, 9979843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2915 divided by -29?\nAnswer: 2915\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -4. Let p(d) = -d**2 - 6*d + 4. Let j be p(t). What are the prime factors of 3*(-6)\/j - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 2298*v + 4608.\nAnswer: -3*(v - 768)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 + 4 - 2 - 1 + (d + 2*d - 4*d)*(d - d - d).\nAnswer: 4*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 499.074 kilometers?\nAnswer: 49907400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 4.97. Which is the biggest value? (a) m (b) 0.5 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 2*w - 4*w + 2, -4 = -4*h - 5*w. What is the third smallest value in 4\/7, -1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54255 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 12*n - 8. Suppose 0 = -3*q + 3*r - 3, r - 2 = -3. Let p be 0 - (-2 + 15 + q). Let v be j(p). Calculate the greatest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26404779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17134486 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1500 = -43*q + 2112. Suppose 0 = -5*t + q + 31. Suppose 3*b = 2*b + 3. What is the remainder when t is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2520)\/40)\/((-9)\/(-10)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 28.7 - 28.9. What is the second biggest value in w, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 13*w - 4. Let f be h(13). Let g = -6 - 56. Let q = 247\/4 + g. Which is the biggest value? (a) f (b) q (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 5:45 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6736 + 6730. What is the second smallest value in c, -56, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1544?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26)\/(-30) + -1 + (51\/45 - -12). Let f(a) = -a + 8. Let g be f(6). Solve -14*x = -r*x + g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/33 - 92\/(-22). Let c be v\/18 - (-18)\/(-81). Suppose 4*g + c = 16. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 - 3*m**2 - 29 - 31)*(0*m**2 + 3*m**2 - 4*m**2).\nAnswer: 3*m**4 + 11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -1632*l**2 - 1. Let y(t) = -9*t**2. Determine m(y(n)).\nAnswer: -132192*n**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 16 - c84?\nAnswer: -c6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4365 (base 13) in base 6?\nAnswer: 111230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 - u - 1. Let q(v) = 15*v**4 + 5*v**3 + 5*v + 7. Let j(t) = 5*p(t) + q(t). Differentiate j(s) with respect to s.\nAnswer: 60*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4364.369 rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3796439030 + 1.\nAnswer: 3796439031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2498485458 take away 0.0465?\nAnswer: -2.2963485458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1771*u + 10946 = -2192*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (4 - 11) + 2 - 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, z: 2, g: 1, t: 10, y: 1}. Give prob of sequence ggz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2. Let p(z) = 4*z - 3. What is m(p(s))?\nAnswer: -16*s**2 + 24*s - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214660 is divided by 212959?\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1587 and 1597002?\nAnswer: 844814058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 216397 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325840 is divided by 7080.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tektteebeeebte. What is prob of picking 1 k and 3 e?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -6 (b) -0.3 (c) -0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-424129)\/57570 + (-1)\/(-5). Let q = t + 1\/1919. Suppose -4*g = 12, 5*r + 5*g - 28 = 47. Calculate the common denominator of r and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 + 1 = 0, 3*z - 83 = 4*y. Is y at most as big as -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 62757.\nAnswer: 2\/62757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 14*w**2 + w + 28. Let l be n(-14). Solve 0 = -2*b - 5*h + l, 4*b - 4*h = -18 - 10 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313 = 603*m - 17551 - 2035 for m.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/(6\/(-64)). Suppose 4*m = 3*q + x, -5*m = -q - 6*m + 4. Solve q = -0*a - 2*a - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 1. Let q(v) = -v - 5. Let i be q(0). Put i, -2, z in ascending order.\nAnswer: i, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 8:14 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*d = 184, -5*d + 671 = -h - 3*h. Let g = -40 - h. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-195 - -193)*(17 + -7)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h - 1. Let a be q(-4). Suppose 4*y + 18 = 2*b + 4, a*y = -6. Find the second derivative of 2*v + v**5 - v - b*v**5 - 3*v wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-9))**(-3\/2) assuming q is positive.\nAnswer: q**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -2*u**5 - 1450*u**4 - 2878*u**3 + 10162*u**2 + 28944*u + 17352 = 0.\nAnswer: -723, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-282255 + 2072*x + 282255)*(0*x**2 + 0*x**2 + 2*x**2).\nAnswer: 4144*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5 - 33*n**2 + 13*n**2 + 4*n**3 + 17*n**2. Let m(g) = -g**3 + g**2 + g - 1. Calculate 3*m(a) + z(a).\nAnswer: a**3 + 3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -8139.04048 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*t - 5*t, -t = 5. Let c(p) = -4*p + w + 3*p + 4. Give c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + 76847\/4. Suppose 5*y + 4*w - 12 = 0, y - 4 = 3*w + 6. Suppose -q = 4*v - 4*p + 11968, -3*v - y*p = 23420. Round v to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -34, 2\/11, -1\/6, -0.4 in descending order.\nAnswer: 2\/7, 2\/11, -1\/6, -0.4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -79 + 8 + (36 - -13).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/2 + 4\/(24\/2) and 55\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 433. Give j(-32).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*z = -60*z + 185*z - 933 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -2. Let w = 1 - l. Let z be 5\/(-1) + 175\/35. What is the closest to z in w, 0, -1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 6:14 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 822968800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 957*w + 7780 + 948*w - 2866*w + 960*w as z + l*w and give z.\nAnswer: 7780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-5)*27*35\/135?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3800*w. Let y be m(2). What is y rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2605, -2593, -2581, -2569?\n\"Answer: 12*f - 2617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times -34?\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19041, -38100, -57159, -76218?\nAnswer: -95277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -18, -0.08, 1\/25, -0.2?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 769 - 758 - (4 + (-3 - (6 - 0)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246\/(-328)*(-8)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12647*0.447\nAnswer: 5653.209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/4*(132\/(-55))\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3317 = 87*y - 126*y + 70*y for y.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 2. Let h be 21\/(-7) + 1 + (y - 0). Solve 5*z - 1 - 4 = -5*k, -z = -k + h for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0383852 millennia to months.\nAnswer: 460.6224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(176) - sqrt(11)) + 4)*6)**2.\nAnswer: 1944*sqrt(11) + 6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(152) + sqrt(152))*2 + sqrt(152))\/(sqrt(80)\/(sqrt(120)\/sqrt(12))).\nAnswer: 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*f - 4*f - 4*f)*(2*f**3 + 2*f - 2*f) + 2*f**4 + 3 - 3 - 4*f**4 - f**4 + 3*f**4 + f**4 + 3*f - 3*f to x*f**2 + i*f**4 + o*f**3 + m + k*f and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 2*d + 1. Let p be h(-1). Suppose 5*y + 4 = -l - 9, -2*l - 2 = -2*y. Put p, l, -5 in descending order.\nAnswer: p, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/(-2))\/((-3)\/(-4)). What is the common denominator of (((-329)\/u)\/7)\/1 and ((-79)\/553)\/((2\/60)\/(16\/12))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 7870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2626 (base 7) in base 2?\nAnswer: 1111101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (81\/18)\/(6\/112). Suppose 0 = -0*x - 2*x + 42. Calculate the highest common factor of f and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**2 + 197*d - 4. Let z(q) = -8*q**2 - 195*q + 6. What is 3*j(n) + 2*z(n)?\nAnswer: 2*n**2 + 201*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4151 = 4*x, 3*o = -x + 770 + 245. Calculate the remainder when x is divided by 342.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-9))\/(179\/(-20943))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -3, 1, 5?\n\"Answer: 4*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55439366 to the power of 1\/2, to the nearest integer?\nAnswer: 7446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 262202 = 3*z, 6*z - 87396 = 5*z - 4*i. What is z rounded to the nearest one thousand?\nAnswer: 87000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 17*d**2 + 11*d + 20. Let x be s(-16). What are the prime factors of ((-9)\/(135\/x))\/((-4)\/66)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1954528.7 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1692442881 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6274 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 2*z + 59 - 165 = 0. What is the derivative of -z - 21 - 5*w + 0*w + 2*w wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110221 (base 3) in base 13?\nAnswer: 2635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -4*b - 20 - 11 - 3*b. Let q(i) = -3*i**3 + 3*i**2 + i - 3. Let y be q(2). What are the prime factors of x(y)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -67. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 - 7*b + 1. Suppose -45*z - 306 = -79*z. Suppose z*n + 140 = 86. Give w(n).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 535.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -17*w - 357. Let p be l(-21). Suppose p = 7*s - 53*s - 92. What is the nearest to s in -4, 3, 2\/63, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (0 - 1) - -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -3\/8 (c) -0.06 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.8836204 months to decades.\nAnswer: 0.02403017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5 + -4 + (-1 + (2*sqrt(153) - sqrt(153)) - sqrt(153)) + 1)*3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i - 5647 = -5*w - 46*i, -3*w - 5*i = -3370. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttrrtttrrrrrttt. Give prob of sequence ttt.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -2*a**3\/3 + 75*a**2\/2 + 216*a - 232. Differentiate r(f) with respect to f.\nAnswer: -4*f + 75","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44744 times -175\nAnswer: 7830200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20201221 (base 3) to base 16\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h. Suppose 0 = -4*d + 5*d + 8. Let b(s) = -s - 6. Let q be b(d). Let z(l) = 0*l**2 + 2*l**q + 2*l**2. Calculate z(w(a)).\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3430 and 770?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -182 - -195. Suppose 0 = p*a - 3088 - 214. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -24. Calculate the smallest common multiple of 20 and w\/1*(-44)\/2.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-14)*w)\/(w\/(w*w\/(w\/(w*w\/(w*w*w**(-23)\/w))*w)*w*w)) assuming w is positive.\nAnswer: w**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46*81\/(-20493))\/((-29)\/11).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s - 25*s + y = 13, 4*y = 3*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35487625 + -35487631.0000034. Let v = 6 + x. What is v rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20520, -41051, -61582, -82113, -102644?\nAnswer: -123175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 44305, 44355, 44407, 44461, 44517, 44575, 44635?\n\"Answer: v**2 + 47*v + 44257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -365\/12 and -31 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187 = -276*f - 1930 - 3059 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6711*k**2 - 6641*k**2 + 710*k + 137*k wrt k.\nAnswer: 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 8*z + 2801. Determine c(-57).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 82848024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91401 bigger than 91408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**5\/140 - m**4\/21 - 13*m - 16. Factor s(w).\nAnswer: -w**2*(w + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1544? (a) 2\/11 (b) -4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 1. Let j(s) = s**2 + 15*s + 1. Let v(l) = j(l) + n(l). Let z(f) = -f**2 - 7*f. Suppose 5*d - 9 = y + 61, 4*d + 2*y = 42. Give d*z(i) + 6*v(i).\nAnswer: -i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1259.014 - 1259.16399842. Let i = 0.15 + r. What is i rounded to 7 decimal places?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08041 - 0.18041. Let l = 4 - 3. Let s = l - 8. Is s greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2\/11, 1.82, 10.\nAnswer: -2\/11, -0.1, 1.82, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1210345 is divided by 32711.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p + 1930 - 522 + 398 = 0 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3 and 0.7024?\nAnswer: 2.2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {z: 2, a: 3, x: 1, s: 1, v: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10958628 divided by -2739657.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+6078\nAnswer: 6078.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 19388 and -24 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8281288487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*-5*(-8)\/3. Suppose 4*b + 3*y + 6 = 0, -11*y = -9*y + 4. Calculate the common denominator of -29\/4 and 3 - (b + v\/18).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 601786800?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3*g. Let x(t) be the third derivative of 23*t**2 + t**4 - 3*t**4 + 38*t**2. Calculate q(x(j)).\nAnswer: 144*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -9*i**3 + 6332*i**2 + 2825*i - 6357. What is l(704)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1777*d - 60825. Calculate n(34).\nAnswer: -407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1865833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of -1\/2*u**4 - 3*u + 0*u**2 + 1\/3*u**3 + 0. Find the second derivative of s(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 2 s, and 1 z when four letters picked without replacement from {z: 11, j: 4, s: 4}.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4641, -4137, -3629, -3111, -2577?\n\"Answer: h**3 - 4*h**2 + 509*h - 5147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/21)\/((-14)\/147).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4132 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1578348*d**2 + 4389288?\nAnswer: -3156696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 7, -5 in decreasing order.\nAnswer: 7, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001772307315 rounded to 7 dps?\nAnswer: -0.0000177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 2*l - 15. Let g = -1 - -15. Let f be 2 + (-18)\/g + -1. Which is the nearest to l? (a) 5\/2 (b) 0 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 - 81. Let j(t) = -t + q*t + 5*t - 14*t. Let w(z) = -6*z + 1. Give -2*j(g) + w(g).\nAnswer: -4*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/370905 or 1?\nAnswer: -4\/370905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3584310739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.427 + -0.627. Let d be (3\/4)\/((-9)\/(-6)). Let g be (1\/(1\/(-2)))\/3. What is the nearest to d in q, g, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1922 - -1927. Solve -h*c + 14 = 34 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 773 = 5*a - 752. Is 32858\/20 - (6 + a\/(-50)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12 + 1818059?\nAnswer: 1818071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 3*j. Let q be a(-6). Is 10\/45 + 302\/q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*k**3*p**4 - 577*k**3 - 39*k**2 + 208*p**4 wrt p.\nAnswer: -60*k**3*p**3 + 832*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161995 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -36, -1, -3 in ascending order.\nAnswer: -36, -3, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/4)\/(4\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 106\/3 (c) 2 (d) 0.31\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -j + 29. Suppose a + j = 40. What is the least common multiple of a and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/1925, 4\/3, -0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -1229080\nAnswer: 1\/614540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -491*m + 577. What is the tens digit of s(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2. Let s(j) = -34*j**2 + 1. Let h(v) = 204*v**2 - 6. Let m(c) = 6*h(c) + 34*s(c). Calculate m(d(n)).\nAnswer: 68*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 14*i + 277. What is p(-20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 2:13 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q - 7. Let z(x) = 3*x - 4. Let s(l) = 2*a(l) - 5*z(l). Calculate s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 11:05 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -b**5\/30 + 5*b**4\/24 + 2*b**3\/3 + 3*b**2. Give t(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9295887?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i + 27. Determine o(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**3 - 544*p**2 + 2804*p - 2256.\nAnswer: -4*(p - 4)*(p - 1)*(p + 141)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62951 and 119.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1 = p, -1 = 3*p - 4. Suppose -10*x + 7*x + 432 = c. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/7)*z)**(-45)\/(z**(-5)*z**(1\/3))*(z\/((z\/z**0)\/z)*z**(-5)\/z)\/((z*z*z*z*z\/(z\/(z**(-5)\/z))*z*z)\/z*z*z**(-2\/17)) assuming z is positive.\nAnswer: z**(-20732\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 7973.\nAnswer: -2\/7973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 874 - 136 = 36*h - 270. Solve 0 = -c - 3*c - 2*g - h, -5*c + 2*g - 26 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227356863 to the power of 1\/2, to the nearest integer?\nAnswer: 15078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 894007258 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 8*g + 2*g + 6.\nAnswer: 11*g + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from {w: 2, l: 6, e: 10}.\nAnswer: 20\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**0)**(2\/45)\/(k*k*k*k\/(k\/k**(1\/2))*k*k**(6\/7)) assuming k is positive.\nAnswer: k**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -4*d - 8. Solve -2*f - d*k = -k + 12, 0 = 4*f - 2*k + 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkk. Give prob of sequence kk.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h - 5*h**3 + 4*h**3 + 5*h**3 + 1 - 3*h**3. Let y(b) = b + 15. Determine v(c) + y(c).\nAnswer: c**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 216*f**2 - 72*f**2 - 73*f**2 - 62*f**2. Let y(m) = -5*m**2. Determine y(b(h)).\nAnswer: -405*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 768?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i = -5303 - 1527. Let g = 700 - i. Solve -5*z + 2 = h, 7*z - 2*z - g = 4*h for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5340\/13, 0, 2\/5, 72\/11 in increasing order.\nAnswer: 0, 2\/5, 72\/11, 5340\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16938*p**3 + 17251*p**2 wrt p.\nAnswer: -101628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17013 and 21.\nAnswer: 119091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/30*225\/30. Suppose 2*f - 6 = 2. Solve -m = -f*t + 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 317.613 + -322.02. Round l to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 - 4 = -4*l. Let v be (6 - 0)*(-8)\/l. Let n = v - -14. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -169, -407, -645?\n\"Answer: -238*y + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1157 is divided by 255?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -33. Let v = q + 24. Sort v, 9, 0.2, 1\/6.\nAnswer: v, 1\/6, 0.2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*s + 8*s + 84*s + (-2 + 0 + 3)*(4*s - s - s) in the form y + j*s and give j.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1*sqrt(84)*-6 - sqrt(84)))\/((2*sqrt(336))\/sqrt(7)).\nAnswer: -15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -11)*(-4)\/8. Suppose -4*r - 4*c + c = -17, -25 = y*c. Suppose 0*g = -r*g + 32. Calculate the lowest common multiple of g and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 2*i - 34 + 7*i**4 - 9*i**4 - 2*i**2 + 3 to the form p*i**3 + f*i**2 + z*i + x*i**4 + k and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 657195?\nAnswer: 3, 5, 7, 11, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -4, 2, 88, 4, 0 in increasing order.\nAnswer: -4, 0, 2, 4, 7, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -353746\nAnswer: -9\/176873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -254 + 326. Solve r - 12 = -15*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 816 divided by -6?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*(l\/((l*l**(-3\/5)\/l)\/l))\/l)*l**(-6))**17*(l**0\/l)**(2\/15)\/((l*l**(1\/2))\/l)**(-1\/23) assuming l is positive.\nAnswer: l**(-20191\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1\/23 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890.3218 millennia to months.\nAnswer: 10683861.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y**2 - 228*y + 2579. Determine g(14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6101523 to the nearest integer?\nAnswer: 2470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (948\/(-2528))\/(27\/(-1764)*4*(-7)\/(-10))?\nAnswer: 35\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20498, 19854, 18774, 17252, 15282, 12858, 9974?\n\"Answer: -l**3 - 212*l**2 - l + 20712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 7791 = -3*w, -3*w + g = 165 - 7962. List the prime factors of w.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 239127 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3)\/u*u)**(-9)\/(u**(-2\/3))**(3\/10)*(u**(1\/2)\/((u*u\/(u\/u**(-6))*u*u*u)\/u*u))\/(u*u*u**(-6)*u*u*u\/(u*u**(5\/2)*u)) assuming u is positive.\nAnswer: u**(26\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-608*r + 344*r + 426*r)*(2 - 1 + 0) + (r + r - 3*r)*(1 - 4 + 2).\nAnswer: 163*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38 + -34. Suppose q + 0 = 4*v. Which is smaller: v or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*(sqrt(110) + -1*sqrt(110)))\/(1*(2*sqrt(10) - sqrt(10)))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 83*o + 1. Let z be s(1). Let a(p) = p**2 + 38*p + 49. Let m be a(-37). What is the greatest common factor of z and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1*4\/(0 - 164)). Let f = 46 - x. Suppose w + g + 0 = f, -4*w + 5*g + 2 = 0. Solve 12 = -w*k - k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-6\/5)*j)\/(j**(1\/3)*j))**(-2\/57) assuming j is positive.\nAnswer: j**(46\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2)\/(((-30)\/25)\/(-6)). Suppose -2*d = -5*y - 220 + 13, -2*d - i*y = -177. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 6*w + 2. Let d be o(-6). Suppose 3*i - 1 = d. Suppose i = 2*n - 5. Solve 5 = -p + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqwdcdjdjjd. What is prob of picking 2 j?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 92 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 357 divided by -21.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**3 + 6*k**2 + 6*k + 56. Let v(z) = -11*z**3 + 13*z**2 + 13*z + 113. What is 13*q(i) - 6*v(i)?\nAnswer: i**3 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 0*m + 4. Suppose 13 = 3*b - m*k, b = k - 3 + 6. Let s = 3 - b. What is the highest common divisor of 44 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 1\/105*w**7 + 0 + 2\/75*w**6 + 3*w - 1\/15*w**3 - 1\/15*w**4 + 0*w**5 + 0*w**2. Factor x(s).\nAnswer: 2*s*(s - 1)*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6384052354?\nAnswer: 2, 41, 53, 1468949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 18 = -y, 2*d + 1 = 3*y. Sort y, -4, 3 in ascending order.\nAnswer: -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1608186, -9\/2, -2, 2 in descending order.\nAnswer: 2, -2, -9\/2, -1608186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1)**(8\/11)\/(k**(2\/19)\/(k**(-1\/6)\/k)) assuming k is positive.\nAnswer: k**(-683\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/4 - 2*i**3\/3 - 6. Find the third derivative of r(o) wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133862767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7992, -31778, -71422, -126924, -198284, -285502?\n\"Answer: -7929*c**2 + c - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 4:49 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 656.151 - 657. Let s = -11.151 + h. Let q = 1.8 + 0.2. Is q less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2127)\/(-12762)*(-306)\/(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 - 4*d + 3. Suppose -3*y = -0*y - 6. Let t be h(y). Let x = 3 + t. Calculate the remainder when 6 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8073 = 4*m - 8049 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -183*d + 75*d + 99*d - 306 for d.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*j + 4 = 0. Suppose 7*f - 2*f + 15 = 0, -j*x = 3*f + 1. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2178990 divided by -726330?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**6 + 3221*r**5 + r**3 - 105802*r**2 wrt r.\nAnswer: 240*r**3 + 193260*r**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**6\/6 + 4*b**2 + 2*b. Find the first derivative of v(r) wrt r.\nAnswer: 20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-5 - -24) - (-87 - -16 - 16).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 215*h**2 - 24*h - 17. Is o(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 99400001*p**4\/4 - p**3\/3 - p**2 + 2*p + 8. Let n be u(1). Suppose 0*m + n = 7*m. Round m to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -753 - 182 = -5*u. Let z = 1582 - u. Suppose 0 = 4*w - z - 569. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 41*n + 28. Let l be r(21). Suppose 4*x = -3*x - l*x. Let v be 45\/18 + (-2)\/4. Solve x = 2*y + v*j + 3 + 5, -3*j = 5*y + 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*f**2 + f**2 + 7*f**2 - 2*f**2 + 6*f to the form g*f + o + s*f**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.9 in 0.3, 390, 1\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 80 = 13*z. Solve -14*c = 6*c - z for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 9 = -2*m, 16 = 3*o + m + 4. Solve 4*l - 15 = 3*w + 12, o*l = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50959 (base 10) to base 16.\nAnswer: c70f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 108*w**2 + w - 6. Give f(-1).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((3 - 7) + 2)*-1. Suppose -5*j + 12 = -q*j. What is the least common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-124 - (0 + -2))*-1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 43*i**2 + 4*i - 4. Let x be d(8). Suppose -127 = -u - 3*r - 1399, -2*r - 5048 = 4*u. Let f = u + x. What is f rounded to the nearest one hundred?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*i*s**3*v - 17*i*s**3 - i*s**2 + 2*i*s*v + 2678*i*s + 2*s**3*v wrt s?\nAnswer: -42*i*v - 102*i + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 54 = u, -3*u - 177 = c - 2*c. Let j be (u\/(-75))\/((-4)\/(-10)). Let s be (-10)\/2*1*-1. Solve s = -j*d + 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3403409, -3403507, -3403605, -3403703?\nAnswer: -3403801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:57 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*w**2\/5 + 4*w + 8\/5.\nAnswer: 4*(w + 2)*(2*w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {k: 9, d: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1680 and 12?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2288.9454 hours to weeks.\nAnswer: 13.624675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49253, -98508, -147761, -197006, -246237, -295448, -344633?\nAnswer: -393786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 0.3, 518, 2\/25 in increasing order.\nAnswer: -20, 2\/25, 0.3, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*g - 10 = 0, 4*f - 24*g + 23*g = -9. Which is bigger: 4\/229 or f?\nAnswer: 4\/229","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 2680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6377 and 29152?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-492)\/(-40) - -3)\/(1344\/2240).\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 9*d + 28*d + 39*d - 176*d - d**2 as y*d**2 + t + l*d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -25, -24, -27, -34, -45, -60?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 992426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -251, 3 in decreasing order.\nAnswer: 3, -11, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.26*9.\nAnswer: 65.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -26*q + 1866. Determine f(72).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12010120222 + 0?\nAnswer: 12010120222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -15*i**3 + 1. Let h be q(-1). Let n = -6 + h. Calculate the highest common divisor of n and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/42*-1)\/(-15*6\/(-270)). Let 0*z + 1\/7*z**2 - l = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/(r\/r**(-2)*r)))\/r)**(12\/7)\/(r\/r**(-10\/13)*r**(-3\/2)))**11 assuming r is positive.\nAnswer: r**(9757\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = x, m - 4*x = -1. Solve 3*r + 19 = 4*k, -4*k - 3*r = -4 + m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49767, 400749, 1353413, 3208599, 6267147?\nAnswer: 10829897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/10))**(-1\/14)*(r**(-15\/4)*r)\/r**(2\/11) assuming r is positive.\nAnswer: r**(-2263\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30925 + 5195473\/168. Find the common denominator of -113\/112 and a.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((7\/6)\/(280\/60)*1)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1714834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.039 - -0.0718\nAnswer: 0.0328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 5*b = 9, -3*q + 39 = -3*b + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8027 a factor of 2083175067?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6690 and 132?\nAnswer: 147180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + 0)*-6*(-6)\/(-9). Calculate the highest common factor of u and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8479406.\nAnswer: 2, 13, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 2*g**2 + 2*g - 2. Let a be i(3). Suppose 5*w - 89*p = -91*p + 77, -p + 16 = w. Sort -4, 1, a, w in descending order.\nAnswer: w, 1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1884.883mm?\nAnswer: 1884883000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 842*x**4 + 791 wrt x?\nAnswer: 3368*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 - 111*w = 0.\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s + 2*b - 15, -4*s = 2*b - 30. Let p = s + 13. Suppose -2*x + 0*x = -w - 2, -5*w + 3*x = -p. Calculate the least common multiple of w and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 55766.56 nanometers?\nAnswer: 0.00000005576656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14843, -29641, -44437, -59231, -74023, -88813, -103601?\nAnswer: -118387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 10:16 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54 - 1. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 + 0*(-1)\/2 and 3 + (1 - 1) + 1.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476448751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*r = -5*i + 43*r + 6, 4*r = i - 18 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*k + 368 = 420. What is the smallest common multiple of k and (-1)\/((-1)\/11) - 1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of b**6\/15 - 2*b**5\/5 + b**4\/3 + 4*b**3\/3 - 3*b**2 - 49*b. Determine f, given that v(f) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32.9 to the nearest integer.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 7*g + 5*g**4 - 2596*g**2 - 3*g**4 + 2597*g**2 to the form q*g + l*g**2 + c*g**3 + w + s*g**4 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - 3. Let h = 3\/10 + 1\/5. Which is the closest to h? (a) f (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399040393 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 187973873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*z = -11 + 347. Calculate the highest common factor of z and 384.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 1. Which is the second biggest value? (a) 2\/5 (b) z (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 h when two letters picked without replacement from {o: 5, h: 4, v: 3, l: 1, k: 3, b: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 25 = -3. Suppose -u + 8 = -s. Is -1 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7, -0.5, -4\/11, 1\/5, -6\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -25*v + 770. Determine z(31).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27549 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * 0.208.\nAnswer: -8.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/23852 and -19\/9?\nAnswer: 214668","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 12 = -5*w + w, 0 = -2*y - 5*w + 15. Suppose q + 7 + 7 = y. Let l = q - -814. Round l to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, x: 7}. What is prob of picking 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 875469521 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 1. Let u be p(3). Suppose 4*y + u = 10. Suppose -10 = -3*l + y*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1616647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, u: 3, a: 3, i: 1, h: 1, y: 3}. What is prob of picking 2 y?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9763 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 99917.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*a - 11*a**3 + 35*a.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 7*u - 2 = -3*u + 10 + 18, 0*w - 87 = -5*w + 13*u for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29\/9 - 2\/9. Suppose -j*v + 8*v - 25 = 0. Let k(l) = -l**3 + 6*l**2 + 11*l - 23. Let x be k(7). Solve -n + v*n - x = 3*q, -2*n = -4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.72 and -5?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000842464 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (91\/(-364))\/((-27)\/(-24)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6269, 12483, 18623, 24683, 30657, 36539, 42323, 48003?\n\"Answer: -c**3 - 31*c**2 + 6314*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -43, 0.2, 2 in descending order.\nAnswer: 2, 0.2, -1, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 136011 or 136029?\nAnswer: 136029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80306 - 240916\/3. Find z such that 1 + 26\/9*z**2 - n*z**3 - 1\/3*z**4 - 3*z + 1\/9*z**5 = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -549 + 1182. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 - 4*f**2 - f. Let d(n) = 3*n**3 + 8*n**2 + 3*n**2 - 4*n**2 - 2*n**3 + n. Let m be 1\/(4 + 290\/(-70)). Give m*j(g) - 4*d(g).\nAnswer: 3*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdjjojidoodd. What is prob of picking 1 g and 1 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15934*h**4 - 17*h + 129 wrt h?\nAnswer: -191208*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011 (base 2) in base 8?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 2*q + 4. Let n be k(3). Let v be 435\/812 + n\/((-4)\/(-3)). Let v*t**2 + 3\/7*t**3 + 3\/7 + 9\/7*t = 0. Calculate t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -56. Suppose p - 6462 = -a*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m - 6. Let n(s) = -14*s**2. Determine n(z(u)).\nAnswer: -1400*u**2 + 1680*u - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 1040\/12409 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 12) in base 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-28))\/((-7)\/14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hp when two letters picked without replacement from phpphhhhhqhqp?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 693 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30906367 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 461 = -5*s - 5*r, 3*r = -12. Let q = -132\/113 - -29776\/339. Let p = s + q. What is the nearest to p in -1\/4, 2\/5, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p**2 - 3*p**2 + 5*p**2)*(7 - 7 - 3*p**3 + (-p + p**3 + p)*(-2 + 3 - 3) - 2*p**3 + 2*p**3 - p**3).\nAnswer: 6*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 32 = b. Let o be 414\/10 - 63\/(-270)*-6. Suppose 3*v + 4*h + 0 = o, -b = -v - 4*h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3778714 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -612 - -1060. Let p = 448.0686 - k. Round p to two dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 8:22 AM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 d, and 1 b when three letters picked without replacement from kkobdkkoadd?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1293064 and -7\/905.\nAnswer: 6465320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.6400049 hours?\nAnswer: 38.400294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6332 and 626868?\nAnswer: 626868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 2. Suppose s - 3*s = -5*q + 4, c = -3*s + 9. Solve -f + 1 = -q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = c + 504615, -c - 255963 = -4*z + 753266. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**4 - 22*j**3*q**3 + 16*j**3*q - 2*j*q**3 - 13*j + q**3 + 246*q**2 wrt j?\nAnswer: 60*j**2 - 132*j*q**3 + 96*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = 4*q + 4*u - 41, -8*q = -u - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 9*d**3 - 44*d**2 - 13*d + 44. Determine z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 8 - 14*m)*(-m + 0*m + 0*m - 2*m - 3 + 3 - 1 - 2*m + 1 + (-3*m + 2*m + 0*m)*(1 + 1 + 0)).\nAnswer: 98*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 199780724999 - -0.4\nAnswer: 199780724999.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -26\/129323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 + (1 + -6 - (-9 - (-25 - -13)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1 + sqrt(605) + 2)*4*-4*-6)**2.\nAnswer: -16975872 - 1824768*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/3)\/(14\/(-6) - 0). What is the closest to d in -1\/4, 0, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 966.9\nAnswer: 773.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (149*n - 33*n**3 - 22*n**3 + 53*n**3 - 3*n**2)*(157 - 157 + 16*n) to the form r*n**3 + d*n**4 + k*n**2 + a + i*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 421152924 to the nearest integer?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4219 (b) 2\/7 (c) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 4*n - 71 - 56, -5*n = -4*c - 159. Suppose -16 = -3*q - n, 2*o - 312 = 2*q. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 175*n + 551 + 479 - 330 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*4*-2)\/(-4*sqrt(192) + sqrt(12) - sqrt(192)*-2).\nAnswer: -8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6331 = 3*f + b, b - 2 = 0. Suppose 29*h + 35200 = -3*h. Let r = h - f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -52.069, 17, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30624 and 354496?\nAnswer: 11698368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 - 14*x**2 - 25*x - 23. Let w be v(-5). Factor -12\/7*s + 0 - 9\/7*s**w + 3\/7*s**3.\nAnswer: 3*s*(s - 4)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -3, 64, -2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20 + -12 - 5*1. Suppose -6*b = -2*v - c*b + 25, 36 = 3*v - 5*b. Calculate the remainder when 49 is divided by v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 115831*y + 28. Let n be s(12). What is n rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 87.29315 decades?\nAnswer: 8.729315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a + 15. Let s be u(8). Let n(d) = -37*d**3 + 2*d**2 + d. What is the tens digit of n(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 48\/67? (a) 0.1 (b) 541 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -493627\/45 + 10970. Calculate the common denominator of l and -39\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.409 * 0.4\nAnswer: -0.9636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 320*u = -317*u - 18825985, 3*u + 56478015 = 3*r. What is r rounded to the nearest one million?\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 2*w - 5. Let c(n) = -2*n**2. Let k(m) = 8*m**2 - 2*m - 4. Let s(z) = -2*c(z) - k(z). Give 2*p(r) + 3*s(r).\nAnswer: -2*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.58 in 9, -0.8, -185, 5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8388 - -15715. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2881349?\nAnswer: 2881349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 806 and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 21711419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hvvdwwhdnnwwwwwnwnnw. Give prob of picking 2 h and 1 v.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*g**2*m**3 - g**2*m - g**2 - 1680*g*m**2 + 1061*m**4 wrt m?\nAnswer: 18*g**2 + 25464*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 + t**2 + 0*t**2 + (t - 6 + 6)*(0 - t + 0))*(-2*t + 2*t - 4*t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.093 + 0.738. Round z to 1 decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*d**3*n**4 + 11*d**3*n + 2*d*n**6 + 3*d*n**2 - 3*d wrt n.\nAnswer: -672*d**3*n + 240*d*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (-10 - -12) + 7 + -18 + -13.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 827, 1039, 1251, 1463?\n\"Answer: 212*d + 615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*x**3 + 57*x**3 + 0*x**4 - 2*x**2 - x - 3*x**4 in the form t*x**3 + s*x**2 + j*x + a + h*x**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 385 + -358. Suppose 2*y - d = -3*c, -6*y + 29 = -2*y + c. Solve 18*g - 15*g = -y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**4*g + 2*f**4 + 122*f**3*g - 157*f**3 - 899*f**2*g - 7*g wrt f.\nAnswer: 96*f*g + 48*f + 732*g - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 47 and -2.310547.\nAnswer: 44.689453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o = 21*o - 6*o. Let p = -81 - -146. Let m be 26\/p - 1\/2. Which is the closest to 4? (a) m (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 369*p + 12399. Give t(31).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -45530*a**2 - 1885*a. Let f(l) = 145*l**2 + 6*l. Calculate -1885*f(q) - 6*m(q).\nAnswer: -145*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*0.126.\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 694, 1385, 2072, 2755, 3434, 4109?\nAnswer: 4780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is d4683 (base 16) in base 7?\nAnswer: 10252333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 3*w**2 + 5*w - 16. Let m(n) = 2*n**2 + 3*n - 8. Let v be 7\/1 + (16 - 26). Give v*h(s) + 5*m(s).\nAnswer: s**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-4)\/3*30\/(-20)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 2 g, and 1 r when four letters picked without replacement from {k: 2, g: 3, v: 2, r: 2, e: 1, s: 4}?\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 81 + -76. Suppose 15 - 48 = 2*q - n, n = -r*q - 72. Let c be (18\/15)\/((-3)\/q). Solve -4*z + c = -2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivju when four letters picked without replacement from uijvvvuvv?\nAnswer: 5\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m - 12 - 5 + 17)*(-m**3 - 5*m**3 + m**3) as d + c*m**2 + u*m + x*m**4 + l*m**3 and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3693 a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 831142.6ng to kilograms.\nAnswer: 0.0000008311426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/(-5) + (-7)\/14*38.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 9. Suppose -q - q + 9 = l, -i*l = 2*q - 13. Is ((-3)\/(-9))\/(l\/9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.9 - -3.9. Sort -0.4, s, 0 in ascending order.\nAnswer: -0.4, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016385997751 to 4 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/1 + (-21 - -21). Suppose -5*v = 4*u - 799980, 5*v = v - q*u + 639984. Let c be 0 + v\/16 + 2\/8. What is c rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 36\/20 - (-91)\/455\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -3*1)*(-37 - -44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -28 (c) 164\/9 (d) -1.5 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -147*n**4\/4 + 7*n**3\/6 - 4*n**2. Let d be (-15)\/10*8\/12. Is v(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/11 (b) 5 (c) -2\/7 (d) -90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.43774 years to months.\nAnswer: 185.25288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*q - 76, 0*q = -4*b - 5*q + 82. What is the thousands digit of (b\/4)\/(8 - (-23397)\/(-2926))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/5474 and 55\/12.\nAnswer: 32844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 times 3?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**5\/6 - p**4\/24 + 7*p**3\/6 - 28*p**2. Is 25 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - 2. Let g = 10 + -7. Sort 2, z, g in decreasing order.\nAnswer: g, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 + 3*d**2 + 3*d + 4. Let z be m(4). Let u = 14 - 8. Suppose -3*x = -z*x - u. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 33 - ((-2)\/4)\/(2\/(-4)). Suppose -o = s - 37. Let w = 1 + 19. Solve y - 9 - 5 = -s*l, 0 = -5*y + w for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19 + 245842?\nAnswer: 245861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(38)\/sqrt(2))**2 + 0)*-5 + ((sqrt(19) + 1*sqrt(19) + 4)*-6)**2.\nAnswer: 576*sqrt(19) + 3219","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 + c + 6. Let b be w(0). Let d(u) = -2*u + 1. Let f be d(b). Let y = 11 - f. Calculate the smallest common multiple of y and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2033 and 406386.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114464 and 29910874.\nAnswer: 7154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, 613, 2591, 6443, 12793, 22265, 35483?\nAnswer: 53071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*k**3*t + 4*k**3 - 1970*k**2*t - 3*k**2 - 2*k*t + 47*k - 6*t + 49 wrt k?\nAnswer: 78*k*t + 24*k - 3940*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**3 - 4*c**2 + 2*c + 2. Let h be m(2). Let p(x) = 15*x. Suppose 2*y - 4 = -q - 0*y, 2*y = 5*q + 16. Let g(o) = 2*o. What is h*g(t) + q*p(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 129603852 a multiple of 476?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9075 divided by 5.\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-7)\/6)\/(-7)*6. Suppose -4*h = u - 73. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/32)\/((-7)\/((-812)\/(-18)))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 112 in 2\/9, 4, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 19*z - 31. Let y be b(17). Suppose 2*c + 0*c - 684 = -2*s, 4*s + 1061 = y*c. Let x = 538 - c. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.27, -0.5, -118\/13 in descending order.\nAnswer: 5, 0.27, -0.5, -118\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28 by -3531.\nAnswer: -28\/3531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttbtjbujjttttttu. What is prob of sequence ub?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.05 + -29.95. Let g = n - -29. Which is smaller: g or 2\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/43 and (-7)\/(735\/60) - 58\/(-77)?\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.8137 and -7.09.\nAnswer: 19.949133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -81 (c) 1168 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, t: 3, d: 1}. Give prob of picking 1 h and 3 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*o + 6. Suppose 3*c - 36 = -o*x - 5, -2*c = -4. Find the second derivative of -2*l - 2*l + 6*l**x - l wrt l.\nAnswer: 120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 2:41 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6831 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1209*q + 1344*q - 737*q + 901*q to a + p*q and give p.\nAnswer: 2717","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/(-70) - 133\/(-70)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1983, -4035, -6087, -8139, -10191, -12243?\n\"Answer: -2052*s + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69986.88 micrograms in milligrams?\nAnswer: 69.98688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.5212 millilitres in litres?\nAnswer: 0.0515212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 638.304724 to the nearest integer.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2855 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 9:28 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39960 divided by 9990?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -199.30932 to 1 dp.\nAnswer: -199.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.5 + -0.5. Let n = 6 + r. Let x = n + -7. Which is the third biggest value? (a) 1\/6 (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h)*(-15*h + 180 + 241 - 427 + (-1 + 3 + 0)*(0*h - 3*h + h) - h + 0 + 0 + 2 + 2*h - 2).\nAnswer: 18*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + sqrt(847).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29.94 - 30.34. What is the third biggest value in 1\/4, 1\/2, k, 2, -16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406266 to the power of 1\/2, to the nearest integer?\nAnswer: 637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1211882328 and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-33700)\/(-3))\/(-2))\/((-26)\/3120). What is d rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334246*-0.16.\nAnswer: 53479.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-216)*-1*(-3)\/5.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1545 = 13245. Suppose 0 = -2*n + 17*n - y. Does 30 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9116729819568 - f + 9116729819568.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, l: 4}. Give prob of sequence bblb.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19340796 and 519216?\nAnswer: 77363184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11281*y + 259378. Determine i(-23).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, v: 1, s: 1}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -236, -454, -622, -716, -712, -586?\nAnswer: -314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 78341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 421488?\nAnswer: -421504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 261420247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 690*s = 660*s - 5*z + 615, 5*s + 4*z - 93 = 0 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 430599617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*q + (3 - 3 - 4)*(1 - 2 + 0)*(-q + 7*q - 2*q).\nAnswer: 18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = 14. Suppose y*g + t - 34 - 48 = 0, 3*g + 4*t - 56 = 0. What is the lowest common multiple of g and (800\/(-125))\/(4\/(-10))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 3*l + 20, -l + 0*j + 15 = -3*j. Suppose 0 = v - 2*v - 4*k + 4, -3*k + 3 = l. What is u in v + 0*u - 3\/7*u**3 + 0*u**2 - 1\/7*u**4 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -37)*(45\/54 + 5\/(-10))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 38 = -222. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -2 + 0*h**2 + 2\/3*h**3 - 10*h. Let a(s) = s**2 - 10*s**2 + s**2. What is z(a(b))?\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = p - 10 + 34, 11 = 2*z + p. Let h(o) = -o + 3*o + o - z*o. Let b(u) = 63 - 32 - 31 - 11*u. Give h(b(i)).\nAnswer: 44*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-42))\/((-15)\/(-12)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11325272 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.78 - 1.63. Let f = x - -138.41. Is f < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(150))\/sqrt(10))\/(-1*sqrt(320)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 4*f**2 + 4*f + 7. Let t be j(5). Let w be (-6)\/4 - (-270)\/36. Sort -3\/5, -1\/6, t, w in ascending order.\nAnswer: -3\/5, -1\/6, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 2. Let u(x) = -292*x + 29. Let b(g) = -36*f(g) + 4*u(g). List the prime factors of b(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*w**3 - 50*w**3 + 3*w**2 - 5*w**2 wrt w?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294129.\nAnswer: 3, 11, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l**9*l*l*l*l\/(l\/(l\/l**(-18)*l)) assuming l is positive.\nAnswer: l**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 + 62*l**2 + l - 23. Let r be n(31). Solve -m - 10 = 3*g, -2 = -3*g - 6*m + r*m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(25\/(-10))*8. Is 15 less than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4992057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-21) - (60016\/(-56) + -4). Is i bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t + 1259. Let v(i) = 19*i - 2519. Let k(a) = -5*d(a) - 2*v(a). Let c(n) = -3*n + 628. Let p(y) = 5*c(y) + 2*k(y). Is p(0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 62*y**2 + 388*y - 13. Give u(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59485847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165482.\nAnswer: 2, 97, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 16. Let j(m) be the second derivative of -m**3\/3 - 13*m**2\/2 + 13*m + 9. Let y be j(r). Solve -5*i = -y, 2*q - 3*i + 4 = -i for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/107 and 59\/2980?\nAnswer: 318860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**5 + k**4 - k**3 - k**2 + 3*k + 2. Let w(x) = 2*x**5 - 41*x**4 - 61*x**3 - 14*x**2 + 6*x + 4. Let z(o) = -6*p(o) + 3*w(o). Solve z(n) = 0 for n.\nAnswer: -1, -1\/4, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-554*m**2 + 1097*m**2 - 600*m**2)*(m - 3*m**2 + 0 + 5*m**2 - 1).\nAnswer: -114*m**4 - 57*m**3 + 57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -h**3\/3 + 3*h**2 + 9*h - 2. Let y be k(7). Let a be 28\/12 + y\/(-6). What is the highest common divisor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2793))\/sqrt(3) - -1*(sqrt(931) + 1*sqrt(931))**2.\nAnswer: -21*sqrt(19) + 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -29, 10 in ascending order.\nAnswer: -29, 1\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/2*5*13\/(-130)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3980379 to the nearest integer?\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - ((-979)\/(-88) - 11 - (-9670)\/976)?\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 935 and 176.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 16, -2*g = -y - 0*g + 28. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (-2)\/6*1. Let m = 0.7 - 0.2. Let v be ((-2)\/(-4))\/(4\/72 - 40\/180). What is the third biggest value in m, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135*(-90)\/(-972))\/(1\/(-6)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 39 = -9*k. Let m(u) = -u**2 - 11*u + 30. Let x be m(k). Suppose 0 = -6*z + x*z + 26. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of c**3\/6 + 7*c**2\/2 + 6*c. Let w be d(-7). Let l be (3\/21)\/(1 + w). What is the smallest value in l, -6, -3\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -130 + 130. What is the closest to s in 0.1, -2\/5, 4, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 855861820 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t*t**(-7)*(t**(3\/11)*t)\/((t\/(t**(4\/5)*t))\/t))\/(t**0*t**(-1\/5)*t*(((t*t**(2\/9)\/t)\/t)\/t)\/(t\/t**(-4))) assuming t is positive.\nAnswer: t**(302\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4436697 and 8229.\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11516593?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1363 + 3071?\nAnswer: 4434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08984348 rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 58484.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.727 - 6.7. Let l = -2.973 - z. Which is the fourth biggest value? (a) -0.5 (b) l (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -355566*t**3 - 7*t**2 + 49651075*t wrt t?\nAnswer: -2133396*t - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000129361431 to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615657868?\nAnswer: 2, 7, 149, 173, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jtjjt. What is prob of picking 1 t and 1 j?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*y - 4*h + 208 = 0, 17*y + 22*y = 34*y - 5*h + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 656491 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 57 = 4*p, -4*f - 58 = -4*p - 2*f. Let r = -7 + p. Suppose 5*u - 20 = 2*i + i, 5*u - 2*i - 20 = 0. What is the remainder when r is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1006)\/7 + 15 + (-1498)\/98. Which is greater: -140 or c?\nAnswer: -140","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/35 - (-12960)\/12600?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + sqrt(98) + -1 + sqrt(98) - sqrt(98)) + sqrt(98))*-4)**2.\nAnswer: -672*sqrt(2) + 14128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 4 = y + 13 - 7, -2*y - 415 = -83*v for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, k: 2, y: 4, p: 8}. What is prob of picking 4 y?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1184 = 2*h - 2*a, h - 4*h - 4*a + 1797 = 0. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + y - 9, -2*y = -4*g - 5*y + 7. Solve -g*o + l = 10, 2*o + 3*l = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 - 8*j**3 + 2*j**3 - 51 + 102 - j to n*j**3 + u*j + p*j**2 + v and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60758949*u**4 - u**3 - 1418*u**2 + 97*u - 127 wrt u.\nAnswer: 1458214776*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 112007 - 1528914\nAnswer: -1416907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 6341 (b) -8347 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -357 + 871893?\nAnswer: 871537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 5*o = -6, q + 4*o = -2 + 12. Suppose 4*y - 6 + q = 0. Solve 17 - y = -4*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 + -18745.657146?\nAnswer: -18745.637146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101010010 - -10011?\nAnswer: -10100100111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/10)\/((-2)\/5))\/((-5)\/(-45)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -43\/5. Let n = -1 - 0. Sort 2\/5, n, d in increasing order.\nAnswer: n, d, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*a + 32*a - 25*a - 68 + 137)*(-a - a + 4*a).\nAnswer: 76*a**2 + 138*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2.41 (b) 3\/8 (c) 58 (d) -4 (e) 0.3 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/19)\/v)\/(v**(-5)\/v))**(7\/6)*(v**(2\/31)\/v**(-3))**(2\/53) assuming v is positive.\nAnswer: v**(677888\/93651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.553 + -0.55. Round p to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + -3 - ((38 - 40) + 2 + 1 + -2)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**5\/60 + 5*k**3\/2 - 9*k**2. Differentiate j(x) wrt x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3311*s**3 - 215*s**2 + 215. Let y(a) = -46*a**3 + 3*a**2 - 3. Calculate 3*v(h) + 215*y(h).\nAnswer: 43*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*o - 5 = 0, -5*z - 6*o + o = 15. What are the prime factors of z\/6 - (-115)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 2 = -3*q, -2*m - 3 = -q - m. Let k be (40\/(-3))\/(q\/(-132)). Let h = k + -435. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1785 = 7*y + 88*y + 115 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73350.4 + -73251.6011. Let b = f - 91.799. Let z = 7 - b. Round z to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 211 + 185. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 28, 52, 82, 118?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.1 - 1. Let c = 0.1 - n. Let b = 0 + -3. What is the closest to -1\/3 in b, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -460*g - 561*g - 589*g + 112*g.\nAnswer: -1498*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -48 - 5?\nAnswer: -4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 201373.95 and -12?\nAnswer: -2416487.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 179 times 39500.1\nAnswer: 7070517.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*w*w**1*(w**0)**(-21) assuming w is positive.\nAnswer: w**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 4*h**2 + 13*h - 8. Let g be t(6). Let u(z) = -36*z + 16. Let s be u(g). Calculate the highest common factor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2 - 35*b. Let y(v) = -2*v - 5. Let k(p) = -3*p - 8. Let l(z) = -5*k(z) + 8*y(z). What is d(l(j))?\nAnswer: 2*j**2 + 35*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 4*b**2 + 6*b + 4. Let p be d(-5). Is p less than or equal to 3\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6d4dc + -a?\nAnswer: -6d4e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2893 is divided by 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11*14\/(-539))\/(2\/(-35))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 195*l + 28. Let r(p) = 65*p + 10. Let o(a) = 6*i(a) - 17*r(a). What are the prime factors of o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -38 - 10*n + 13*n**2 + 15*n**2 + 4*n + n**2. Let l(s) = -85*s**2 + 17*s + 114. Let r(m) = -6*l(m) - 17*q(m). Differentiate r(d) wrt d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.119 and -14.75.\nAnswer: -14.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -13. Let c = d - -33. Let z(y) = 350 - c*y - 350. Let r(b) = 4*b. Determine z(r(a)).\nAnswer: -44*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 9*r**2 - 8*r + 2. Let d be n(-8). Solve 3 = d*x - x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11893*h + 130 = 11898*h. Solve 354 = h*o + 33*o for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of 11*o**4\/12 + o**3\/3 - 168*o**2 - 3. Calculate m(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/(-14) - 2\/7. Suppose 2*x - 4 = x. Find the third derivative of -n**4 + n**2 - 3*n**2 + 2*n**t - 4*n**x wrt n.\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1904)\/(-204)*150\/70?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209 or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 207 = -332. Let m be (-5)\/((-50)\/8) - (-12)\/60. Calculate the highest common divisor of m and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**3\/3 + 5*c**2 - 6*c - 3. Let j be r(9). Suppose 0*w - j*w = 0. Solve 0 = -w*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170093320 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -84832 divided by -4\nAnswer: 21208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 + 894 = -53*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146472 and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c - 78 = -22 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 5*a + 2. Let s(q) = 4*q**2 + 6*q + 3. Give 7*f(w) - 6*s(w).\nAnswer: 4*w**2 - w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t + 2*t - 2*t)*(-105 + 52 + 54) to o*t + i and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -158607284*k**4 + 14431867472*k**3 + 126974760*k**2 + 372368*k + 364.\nAnswer: -4*(k - 91)*(341*k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 266100\/8*(121\/(-55) - (-1 + -2)). Calculate the highest common factor of 30 and w.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + 1686\/(-18) + 54?\nAnswer: -41\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.572556 to 3 decimal places.\nAnswer: -1.573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8490 + -8489. Is c less than 4672?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-81)*15\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Calculate 81.5*0.09.\nAnswer: 7.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v**2 + 18*v - 15. Let n(t) = -9*t**2 + 37*t - 31. Calculate -6*n(b) + 13*x(b).\nAnswer: 2*b**2 + 12*b - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 179 (b) -3.05 (c) -0.62\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4255?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*r**2 + r**4 - 3*r**2 - 13*r**2 - 15*r**2 - 5*r + 31*r**2 to the form f*r + u + m*r**2 + l*r**4 + j*r**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -3*q**6\/5 + 3*q**4\/2 - 11*q. What is the third derivative of t(x) wrt x?\nAnswer: -432*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37623 (base 12) in base 2?\nAnswer: -10010010110111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + g + 5. Let y = -66 + 64. Let b be l(y). Let n = 2 - 4. Put b, 5, n in increasing order.\nAnswer: b, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-5)*(224\/252)\/(2\/15)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, f: 1, c: 1, k: 1, t: 4, e: 5}. Give prob of picking 1 c and 1 e.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579392?\nAnswer: 2, 11, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23440578 or 0?\nAnswer: 23440578","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 18*n**2 + 14*n - 40. Let g be w(21). Let o = g + 2345. Does 58 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/6*4 + 4. What is the second derivative of -y*g - 11*g**4 + 2*g - 5*g + 0*g wrt g?\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6086 - -6076. Sort k, -0.2, 5\/6, -0.4.\nAnswer: k, -0.4, -0.2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/137 in 5, -2, -0.1, 3\/5, 2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from jujuzeeeezubujoueoee.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57484256 a multiple of 2344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 2214?\nAnswer: 2219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 + 735*r**3 + 132025*r**2 + 641625*r.\nAnswer: -r*(r - 885)*(r + 5)*(r + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 289.7, 154, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-10) - (-278)\/((-236300)\/(-510))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -6*y - 623. List the prime factors of y.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 42 = -2*k. What is the least common multiple of 22 and k?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 13 = -5*r, -5*r = 3*o - 74. Is 13 a factor of 7\/o - 150\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28919 and 2057?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 684 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 575282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 689 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**3 - 4*c**2 - 2. Let l(w) = 4*w**3 + 9*w**2 + 5. Suppose -2 = 3*y + 4. Let f(u) = y*l(u) - 5*g(u). Find h, given that f(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*w + 4*q, 4 = 3*w + 4*q + 10. Let z be -15*(-6)\/9 - w. Suppose 3*g = 4*x + 20, -4*g = -5*x - 18 - z. Sort g, -3, 0 in ascending order.\nAnswer: -3, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*n - n + 2*n)*(0*n**2 + 3*n**2 - 2*n**2) - n**3 - 1447*n + 1447*n + 52 to s*n**3 + d*n + r + t*n**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 7*q**2 - 6*q + 3. Let i be z(-6). Let r(t) = t**3 - 15*t**2 + 13*t + 280. Let u be r(12). Solve 2*w = -f - 10, -u*w + w + i*f + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-64))\/((-14)\/7).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 6*q + 8. Let p be t(7). Suppose 4*x - 11 = p. Solve k - 2 = x*k - b, 3*b - 11 = k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 12:47 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(24)*-1)\/((sqrt(14) + sqrt(224))\/sqrt(7)*4).\nAnswer: -2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 18912 - 18917 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5}. Give prob of picking 4 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/60 + v**4\/24 + v**3\/6 - v**2. Let l = 7 + -6. Let h(y) = 2*y**2. Calculate l*h(n) - a(n).\nAnswer: n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 39*o**2 - 19*o - 2118. Let i be l(-38). Solve 0 = -58*y + i*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -9.0423 and -0.3.\nAnswer: -9.3423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -7*v**3 + 9*v**3 - 5*v**2 - 8*v**2 + 5*v + 33. Let k = 106 - 98. What are the prime factors of c(k)?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*j - 39, 0*j = 4*j - f - 45. What is the tens digit of ((-423)\/j)\/(1\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 + -2)*2\/(-2). Suppose 0 = -9*w + 4*w + 105. Let f be 1\/7 + (-6)\/w. What is the nearest to 1 in f, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -4*a + 12*o - 15*o, -a + 3*o = -8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21212 (base 3) in base 11?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -250126 + 250124. Let u = -1 - -1. What is the nearest to 3\/5 in f, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58451129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 1\/40, -1, 75, 0.1?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 6:25 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043671224 rounded to 6 decimal places?\nAnswer: -0.043671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*i + 57*i + p + 13, -3*p - 3 = -3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -320, -665, -1012, -1361?\n\"Answer: -z**2 - 342*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10190336 divided by 13?\nAnswer: 783872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 8379 = 3*q. What is the least common multiple of 2\/(-24) + q\/108 and 46?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 43*m + 1974 = 0, 19*s + 4*m - 131 = 18*s + 55 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 471365 by -5.\nAnswer: -94273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let y be 1 + 2 + 2 + -3. Solve q + 2 = -y*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23138574?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 + 4*g**2 - 5*g**2)*(-4 + 4 + 1)*(-108 + 69 - 59).\nAnswer: 98*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1956 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**4 + o**3 - 3*o**2 - o. Let s(f) = 7*f**4 + 30*f**3 + 9*f**2 - 42*f. Let n(i) = -3*g(i) - s(i). What is the second derivative of n(b) wrt b?\nAnswer: -12*b**2 - 198*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/14 + 10\/4. Let m = 13 - a. Suppose -f - 2 = -m. What is the remainder when 23 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -5) + -14 + 31 - 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1124 and 3.\nAnswer: 3372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 5. Is 1*105\/p*10 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -6*z**3 - 20*z**2 - 5512*z - 16525. What is k(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-4 + (-3 - 0)). Suppose -d*l + 4*l + 10 = 0. Let -v**3 + v**4 + v - 4*v + l*v - v**2 + 2*v**3 = 0. Calculate v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/((-5 + 0)\/5). Let f = 178 + -175. Solve 0*y - 4 = -f*s + 2*y, x = 2*y + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = h + 4*d + 9, 0 = -3*h - 3*d - 6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/2 - 344*t**4 - 310258*t**3 + 4708815*t**2 - 39677949*t\/2 + 25542297 = 0.\nAnswer: -526, 3, 9, 1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.02, -3.5, 35 in decreasing order.\nAnswer: 35, 2, 0.02, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/4*(-11)\/((-44)\/(-35560)). Let u = j - 7822. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -91, -329, -743, -1369?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 183 - 183. Suppose 5*g = 4*k + 1, 7 = 2*k - a*g - g. What is the greatest common divisor of 3 and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12784126*x**2 - 6418000.\nAnswer: -25568252*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 536930 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*i + 20 = -m - 4*i, 4*m + i = -17 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -23. Suppose 0*x + 3*o = 2*x + u, 30 = -5*x - 2*o. Let n = 13 + x. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 27 + 82 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 110799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025702058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, m: 1, l: 6}. Give prob of picking 3 l and 1 w.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 49\/18 - (-20)\/(-90). Let j(w) = 4*w - 4. Let t be j(2). Are t and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -69*t. Let v(x) = -1. Let f(k) = -n(k) + 2*v(k). Let s be f(2). Suppose i + s = -3*i. Round i to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = h + 112. Let j = h - -399. Calculate the highest common factor of j and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.94 - -0.06. Let s be 629\/374 + 6\/(-33). Which is the nearest to -1\/3? (a) s (b) -2\/15 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 30 = 80. Suppose 0 = 3*v - f*v - 14. Which is smaller: v or 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -17. Let u = a - 8. Let c = -7657 + 7678. What is the highest common factor of u and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10368?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101.23 less than 157078.96?\nAnswer: 145977.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f - 4. Let o be c(-2). Let j be (o - -1) + -5 + -2. Suppose 0 = m - 3*i + 5, 4*m = 4*i - 6*i - 20. Sort j, -1, m in descending order.\nAnswer: -1, j, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(2673)*2)\/(sqrt(12)\/sqrt(4)*6).\nAnswer: 19*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, m: 1, x: 2, v: 1, a: 4, b: 1}. What is prob of sequence bmxa?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 14 - 32 = 2*b, 5*a = -4*b - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3609.\nAnswer: 3, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(1*3\/9). Let x(i) = -i**2 - 23*i - 11. List the prime factors of x(k).\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfn when three letters picked without replacement from {m: 1, t: 2, n: 4, l: 1, f: 2, g: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/6)\/(-1 - 58\/(-60)). Let q be ((-63)\/f + 20\/5)\/1. Put 1\/6, q, 4\/9 in ascending order.\nAnswer: q, 1\/6, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*l + 4*l**2 + 21*l**2 - 68*l.\nAnswer: 25*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*o**(-27)*o))\/o*o*o**16)\/(o**(2\/11)*(((o*o**(-13\/6))\/o)\/o*o)\/o*o))**(-12\/7) assuming o is positive.\nAnswer: o**(-5938\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((10 - 20) + 8)\/((-856)\/10). Let c = z - -515\/856. Factor -9\/8*i + 0 + c*i**3 - 3\/8*i**2 - 1\/8*i**4.\nAnswer: -i*(i - 3)**2*(i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1205)\/(-45) + 4\/18. Let u = 43 - p. Suppose -19*y = -u*y - 75. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -14. Let s(x) = -2*x + 7*x**j - 6 - x + x**3 - 3. Does 6 divide s(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**4 + 0*v**4 + 180 - 48*v - 2*v**4 - 178 to a*v**3 + b + r*v**4 + n*v + c*v**2 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11102431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 0*b - 15 = -3*b, -4*s - 10 = -2*b for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 26, 57, 102, 167?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 214?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 divided by -7243?\nAnswer: -61\/7243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 10. Let p be o(6). Suppose -p = 3*l - 4*l. Solve t = 2*c + 13, -c - c = -l*t + 28 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 13*y - 17. Let t be x(2). Let i(w) = -2*w**2 + 18*w + 5. Let k be i(t). Suppose 188 = 2*v + 5*s, 3*s = k*v - 0*s - 439. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * 0.21781.\nAnswer: 0.174248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 226 - 390 = 0. Calculate the smallest common multiple of 98 and y.\nAnswer: 1078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 27. Suppose 0*x - 2*x = 3*l - 7, 4*l + 4*x = d. Let y(b) = b**3 - b - 1. Give y(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 8:43 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.62 + 1.62. Which is the closest to -0.06? (a) 0 (b) 0.4 (c) -0.5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2175, -213?\nAnswer: 2175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -29. Suppose m - 5*m = 128. Let b be -2*(-2 - -3) - m. Calculate the greatest common divisor of b and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 7359200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**3 + 2*w**2 - 2*w - 1. Let c(l) = l**3 - 3*l**2 + 3*l + 1. Give -2*c(h) - 3*s(h).\nAnswer: 4*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 2370.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - d + 12. Let w(v) = -25*v + 3 + 7*v + 6*v + 14*v. Let h be w(-5). What is the tens digit of p(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 752986251?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**16)**42\/(z**(-18\/7))**(8\/5) assuming z is positive.\nAnswer: z**(-21906\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 6) + (-2 - 6) + 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 234349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((1 + sqrt(704))*-5 + (-1*sqrt(704) + sqrt(704))*3)**2 + (sqrt(704)*1 + -2 + 2*sqrt(704) + 1)**2.\nAnswer: 352*sqrt(11) + 23960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 + -93.5. Let g = 16.377 + z. Let j = 0.1229888 + g. Round j to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55 + (157 - 307) + (1 - 48).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 6 = -3. Let v = -0.5 + 0.3. Put v, f, 0 in ascending order.\nAnswer: v, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((196\/343)\/(12\/14)). Solve 15 = -j - 4*v, 5*v + 10 + 7 = -d*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -111, 0, 3, 2 in decreasing order.\nAnswer: 3, 2, 0, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11391 - -11396. Solve r = -5*z + 4*i, -3*z + 4*i - 13 + 2 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486282 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 7*l. Suppose 4 = -2*p - l. Is 3*((-159)\/(-9) - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 103 = -2*x - 4*u, 2*u = -3*x + 121. What are the prime factors of x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -734750 (base 9) in base 6?\nAnswer: -13205030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46083 by 3.\nAnswer: -15361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (-1 - (-1 + 0)). Suppose -2*r = r + 2*o - 13, -l = o. Solve r*h = -0*h - 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (143\/(-2002))\/((-1)\/4)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 8*z**2 + 9*z - 1. Let i be m(9). Let p be 0 - i\/(-3 - -2). Let h be p*(0 + 1) - -3. What is the greatest common factor of 6 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**3 + 197*h**2 + 198*h = 0.\nAnswer: -1, 0, 198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(51)\/(sqrt(6)\/sqrt(2)) - (2 + sqrt(17) + 1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29984 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/60 - y**4\/12 + 2*y**3\/3 + 3*y**2. Calculate the lowest common multiple of p(-3) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282364971 is divided by 3727.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*a = 405*a + 6594 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102, 97, 92, 87, 82, 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -x**3 - 1208*x**2 + 112429 wrt x?\nAnswer: -3*x**2 - 2416*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 3*q**2 - 3*q + 5. Calculate c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -172*c + 2*c**3 + 3*c**3 - 4*c**3 + 171*c + 2*c**2 to the form t*c + l + h*c**3 + a*c**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14059264 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 6*z = -9, 0*z - 2*z - 5*z = -5*z + 6 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 31 - -134312070?\nAnswer: 134312121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5956*k**2 + 9083 - 9083.\nAnswer: -5956*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-1)\/(6\/(-10)). Let x = 93 + -54. Suppose -f - l*j = -0*f + 9, -5*f - 4*j + x = 0. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -w**6\/360 - w**4\/12 - 15*w**2\/2 - 82*w. Let f(n) be the third derivative of l(n). Let i(d) = -23*d**2. Give f(i(r)).\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 211*w + 3037. What is the least common multiple of 133 and a(-13)?\nAnswer: 5586","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 235217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 30\/(-9*(-21)\/36 + -5). What is the greatest common divisor of 220 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172223063 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28267709 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 24 = -4*v. Suppose -3*o = -8*i + 3*i + 79, -5*o = i + 113. Which is smaller: v or o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 19*h**2 + 18*h. Suppose -882 = -89*d + 720. What is k(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53565*g**2 + 252*g - 416482179.\nAnswer: 107130*g + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c - 2. Let r be y(-2). Let t be ((-17)\/((-340)\/(-24)))\/(r\/20). Let q(m) = 26*m**3 + 3*m**2 - 3*m + 6. Is q(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -17. Let t = v - -5. Let z(p) = -7*p + 1. Let m be z(1). Which is smaller: m or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*f - 12*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 200 + 14 = -2*m, 0 = -r - 3*m + 45. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*((-5*(sqrt(108) + sqrt(108)*2) - sqrt(108)*-2*3) + -2))**2.\nAnswer: -35008 - 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 5*a = -89, -16 - 47 = 3*f + 3*a. Let i be ((-6)\/(-4))\/((-12)\/f). Solve -i*y - 5 = -y, j - 12 = 2*y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*d - 10 = 0, -5*v - 2*d = -4*d + 4. Solve -2*f + v = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17606\/5 - -3555. Let b = 34 - t. What is the closest to b in 5, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375) - sqrt(1375)*-1 - (sqrt(495)*4 + sqrt(55)))\/((sqrt(140) + (5*(sqrt(140) + -3*sqrt(140)) - sqrt(140)) + sqrt(140))\/sqrt(7)).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 20606.6026 to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 54, -5, 11, 113, 5, 4 in descending order.\nAnswer: 113, 54, 11, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 12*r**2 - 33*r - 41. What is c(-9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.92 from -11.\nAnswer: -12.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 - 312*j + 636.\nAnswer: -3*(j - 2)*(j + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2348*l + 2353*l - 82210. Factor -16450*i**2 + 4*i**5 - 1 - 12*i**3 + l*i**2 + 1.\nAnswer: 4*i**2*(i - 2)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/24*(-72)\/208.\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*f - 433 = -97. Let u(i) = -i**3 - 7*i**2 - 7. What is u(f)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide ((8\/1)\/(-8))\/((-2)\/1416)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m. Let n(s) = -4*s. Suppose 4*g - 2*x + 16 = 2*x, -2*g = -5*x + 5. Calculate g*o(p) + 4*n(p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3705*c**3 + 1151*c**3 - 8508*c**3.\nAnswer: -11062*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1057896 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 - 18)\/(1 + 0). Let y(p) = p**2 + 4*p - 5. Let w be y(s). What is the greatest common factor of 144 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 13 = 5*w - 16, 6*w - 9 = -3*c for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 1, -1316, 8, -2\/13?\nAnswer: -1316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12322663\/44 + 280193. Let m = w + -1284\/11. What is the common denominator of m and 3\/5 + 906\/140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -540, -847, -1154, -1461, -1768, -2075?\n\"Answer: -307*u - 233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4134 + 3?\nAnswer: -4131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/57 and 47\/7.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -31*w - 5049. Determine a(-167).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 2)*(1 - 1 + 2*l**2)*(2*l + 9*l**2 - 10*l**2 + 17*l**2) as k*l**2 + i*l + j*l**4 + u*l**3 + a and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 minutes after 4:00 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) -0.4 (c) 2\/5 (d) -3 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1364680700 to the nearest 1000000.\nAnswer: -1365000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sh when two letters picked without replacement from mhmms?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -9 - 0) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/41 in 7\/13, 1096.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*y + 735 = 823*y for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 341 - 336. Solve -21 + 6 = -j*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-25)\/(-160)*92\/230.\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 2)*(391444*b - 391477*b - 5 - 3).\nAnswer: -99*b - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.05 + -2. Let n = r - 0.55. What is the nearest to -1 in -5, 0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c - 1710 + 9860 = 0. Let d = c + -508. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.31 and -5.\nAnswer: -151.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qbbe when four letters picked without replacement from eeebebeeeeeqebeqee?\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 979282, 979268, 979254, 979240?\n\"Answer: -14*u + 979296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 423202055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*j*k*v - j*k - j + 1047*k*v + 12*k + 9 with respect to v.\nAnswer: -5*j*k + 1047*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 88584*k**2 - 88*k. Let g(h) = 5062*h**2 - 5*h. Give -264*g(m) + 15*x(m).\nAnswer: -7608*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/228 and 103\/1012?\nAnswer: 57684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - 10110000010110?\nAnswer: -10110000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 2227133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/10 and 63\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*d - 0. Suppose -4*n + 20 = 3*l, -3*n + d*l = -n - 10. Suppose n*s - 2*a + 3*a - 664 = 0, s + a = 132. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of 0 + 0*r + 1\/60*r**5 - 1\/12*r**4 - 1\/3*r**3 - 2*r**2. What is the units digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 56. Let l(a) = 6*a + 0 - 3 + 2. Let j(x) = 5*x - 1. What is o*l(b) - 4*j(b)?\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/40)\/(9\/(-60))*495\/3630\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a59 + -6b5d?\nAnswer: -6104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 90870042 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 16 = 0, -2*o - 6*m + 4*m + 98 = 0. Let b(c) = 0*c - o*c + 47*c. Let p(h) = -190*h. What is p(b(x))?\nAnswer: -380*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from vfvvvfvfffffffffffff?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 6*c + 7. Let g be d(-5). Suppose 3*q = -4*f + 12, -5*f + 12 = -g*q - f. Solve 0*b - 5*b - 3*a = 8, -5*b - 5*a = q for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4 + 2 + 18*d - 10*d + 3*d**2 = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -54?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10310 and 16?\nAnswer: 82480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -98.74912 - -98.6. Let k = 3.2 + -3.35. Let o = k - r. What is o rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 o when three letters picked without replacement from vomacgovm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f\/f**20*f)**(-20)*(f*f*f**(-16))\/(f*f\/f**33*f))**29 assuming f is positive.\nAnswer: f**9744","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h**4 + 236*h**3 + 5804*h**2 - 51488*h + 18480 = 0.\nAnswer: -14, 3\/8, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**3 + 67*l**2 = 0. Calculate l.\nAnswer: -67, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*b + 2 - 27, 0 = 4*q - 5*b - 20. Suppose -2*l + 10*n + 3 = 9*n, l + 4*n - 15 = 0. Solve -l*d - q = -4*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/22 and 25\/1204?\nAnswer: 13244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 4)*(6*s + 7*s - 6*s)*(104 - 104 - 11*s) to u + r*s**2 + c*s and give r.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 60\/14*(-84)\/(-8)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 175540180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 0.09 (c) -1.6 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 4\/7, 0.2, 3, 95, 40, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8058137891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(228)*-1 - -1*sqrt(228)*-1)\/(sqrt(144)\/(sqrt(12)*-4) + (sqrt(132) - (-3*sqrt(132) - sqrt(132)))\/sqrt(11)).\nAnswer: -8*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 33\/28 + 9\/108*-9\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -590986?\nAnswer: -590985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5721 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**0)**(-14)*(t**0)**(-15))\/((t**(-2\/5)*t*t)**(-37))**49 assuming t is positive.\nAnswer: t**(14504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (0 + -1*sqrt(162))*-5)**2.\nAnswer: -180*sqrt(2) + 4054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -119 - -43. Let d = u + 145. What is the remainder when d is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 63*d + 525 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -3. Suppose -2*c + 2 = 0, 5*i - 4*c + d*c = 9. Calculate the lowest common multiple of i and 7.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -10, 7, 4 in ascending order.\nAnswer: -10, -4, -1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1699321236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1529357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + -36 + 1896\/79. Factor -3\/5*l**3 + 18\/5*l**y + 27\/5*l - 42\/5.\nAnswer: -3*(l - 7)*(l - 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11982 + 12013 - 23995 + 2*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - (-2 + (-5)\/(-1)). Is ((-4)\/n)\/(1\/14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 3*w**2\/2 + 5*w + 30. Let y(p) = 2*p**2. Determine y(d(l)).\nAnswer: 18*l**2 + 60*l + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 5, 2041, 2\/5 in descending order.\nAnswer: 2041, 67, 5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2800077 or -2800059?\nAnswer: -2800077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -202 + 291. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18295122 and 1231?\nAnswer: 1231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*y - 8721 = 0, -3*y = 7*n - 5*n - 4361. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.8224866 nanograms?\nAnswer: 0.0000000000008224866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(90\/6)*2\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j + 5. Let z = 45 + -45.03. Which is the nearest to j? (a) z (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l + 2*l - 6*l + (l - l + l)*(2 + 3 - 7))*(-388 - 523 + 569)*(-3*l + 0*l + 4*l) to the form a*l**2 + z + r*l and give a.\nAnswer: 3762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 373*z = -11*u + 369*z - 26, -u = -5*z + 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 960 + -315. Calculate the highest common factor of 15 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -c - 5, c - 30 = -c - 4*h. What is the second derivative of 26*k + c*k**2 - k**2 + 6*k**2 wrt k?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 137?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - i + 9, -4*i = 3*x - 4 - 2. Let p = 4942.07 - 4942. Sort p, 3\/2, x in descending order.\nAnswer: 3\/2, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -687*n**2 - 83*n - 3.\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1368456, 1368483, 1368510, 1368537, 1368564?\nAnswer: 1368591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, a: 5}. What is prob of picking 2 a?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2560 and 3140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 5:48 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 79 + 3*p - p - 57 - 122.\nAnswer: 3*p - 258","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 120*h - 1705. Give y(14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 7*w + w**2 + 3*w + w**3. Let g = 4 - 8. What is the units digit of a(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1)*(-3*o - 2*o + 3*o) + 0 + 0 - o**2 + (23*o + 8*o**2 - 23*o)*(-4 + 3 + 0).\nAnswer: -13*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - 831.448.\nAnswer: -831.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*k**2 - 218*k**3 + 29*k**2 + 219*k**3 + 26*k**2.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/(-30))\/((-3)\/(-1719)). Let w = 77 + l. Which is the second biggest value? (a) -3 (b) -1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10610 is divided by 10584?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:11 AM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004371 rounded to six decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 1774*j**2. Let r(z) = 10*z. Calculate r(t(o)).\nAnswer: 17740*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/4*340\/(-153)*(6144\/160)\/32.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 330170 (base 9) to base 10\nAnswer: 196974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -164.8321 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 13*u + 133. Let v be d(-10). What are the prime factors of (-3*2\/v)\/(4\/(-2022))?\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-78)\/(-21) + (-4)\/(-14). Suppose -5*h - 15 = -3*v + 8, 0 = v - m*h - 10. What is the remainder when 16 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277899359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - -2 - (-37224)\/99 is divided by 101?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385286 to the power of 1\/2, to the nearest integer?\nAnswer: 621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4467 - -4458. Which is the fourth smallest value? (a) p (b) -1\/3 (c) 0.1 (d) -1\/2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-10) + 0)\/((-32)\/160). Put 4, 3, 2, r in increasing order.\nAnswer: r, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.99 - -1.71. Let x = 0.28 + o. Put 1\/7, -0.4, x in decreasing order.\nAnswer: 1\/7, -0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32 + 139. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1424 + -1422. Suppose 3*n - 4*w + 12 = n, 3*n = w + 7. Suppose y + 18 = n*y. What is the lowest common multiple of j and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**4 - 1049915*o**3 + 55118700025*o**2 - 275560953685*o - 330680703630 = 0 for o.\nAnswer: -1, 6, 104989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, m: 7}. What is prob of sequence jmm?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 15*v - 5. Let j(g) be the third derivative of -g**5\/20 + 47*g**4\/24 - 5*g**3\/2 - 34*g**2. Let u(b) = 2*j(b) - 7*n(b). Is u(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/22 - 14*o**3\/33 + 72*o\/11 + 5185. Factor n(h).\nAnswer: -2*(h - 2)*(h + 3)*(h + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 807278 to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 196. Let q(b) be the first derivative of 3*b**2\/2 + 161. Determine q(t(k)).\nAnswer: 3*k + 588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9556 - 9553. Suppose -6*d = 4 - 34. Solve -2*b = d*c + y, -b + 4 = 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -3*h - 5095, -4*m - 2*h + 0*h = -5070. Round m to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a decade in months?\nAnswer: 3420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 20 + 40 + 11 - 17 - 347009*p. Let z be y(6). Round z to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (29\/(-406))\/((-3)\/(-7)*2)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3820*o**2 + 8206*o**2 - 4379*o**2.\nAnswer: 7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/9 - 284*i\/3 + 10082 = 0. Calculate i.\nAnswer: 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 6, 7, 1, -247 in decreasing order.\nAnswer: 7, 6, 3, 1, -5, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, l: 1, a: 1, q: 2, x: 1, g: 8}. What is prob of sequence lqgq?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 179*u - 184*u + 3*q - 44, -4*u = 3*q - 35 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/37 and 1\/1778.\nAnswer: 65786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmcmcmccccmc. Give prob of sequence mcmc.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377 + -1529\/4. Find the common denominator of (59\/18)\/((-2)\/(-6)) and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39044, -39066, -39080, -39080, -39060, -39014, -38936?\n\"Answer: t**3 - 2*t**2 - 23*t - 39020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 2*y + 2. Let r be h(-3). Suppose r*u + 3 = 28. Suppose -2*o + u = -15. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 30925?\nAnswer: 61850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11739709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 2. Let a be 1 - (-6)\/(1 + 1). Let b be n(a). Suppose 0 = -3*w + b + 52. Calculate the lowest common multiple of w and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1851 in -0.2, -8\/7, 8?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*r - 71*r + 569*r)*(2 - 6 + 3).\nAnswer: -573*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2984019 is divided by 680.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 45*v**2 + 3*v + 2. Let r be z(-1). What are the prime factors of r\/16*(19 + -3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -148, -502, -1184, -2302, -3964, -6278, -9352?\n\"Answer: -18*i**3 - 2*i**2 - 2*i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 198\nAnswer: -1\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.1 or -1\/4?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from bbbbboybbxfbffbybf.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*z - 409 = 0, -4*d + 1654 = -8*z + 10*z. Let m = 1284 + -871. Is m bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 852121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 124 - 238 + 1118*c.\nAnswer: 1118*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let t(b) = 5*b**2 + 16*b. Determine l(t(v)).\nAnswer: 5*v**2 + 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -52430704521 - 343.\nAnswer: -52430704864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -895250.4 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.573 - 52.427. Which is greater: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven halves of a millimeter?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 563. Let k(m) = -2653*m. What is z(k(s))?\nAnswer: -5306*s - 563","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-10\/7)*x*x*x*x**(-2))**(-16\/5)*((x*x*x*x*((x**13\/x)\/x*x)\/x*x*x)\/(x\/(x*x**(1\/2))))**(16\/5) assuming x is positive.\nAnswer: x**(1784\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/8)\/(39\/777660) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2788 + 7729. What are the prime factors of u?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-25)*v)\/(v\/v**(-4)) assuming v is positive.\nAnswer: v**(-29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195*v - 207*v + 2 - 4.\nAnswer: -12*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.8 + 1.2. Let k = -97 + 97. Suppose k = -5*v + 24*v + 76. What is the smallest value in y, v, 5, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*b**2\/9 - 84896*b\/9 - 11320\/3.\nAnswer: 2*(b - 8490)*(5*b + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9102\/13 + -700. Let p = 14.79 + 0.21. Which is the third smallest value? (a) p (b) 1\/6 (c) 2\/5 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*4)\/(4*sqrt(6)*1).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 81156 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-6*(-3)\/9. Let y(c) = 14*c**3 + 2*c**2 - 4. Let p be y(x). Let j = p + -66. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 351626971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -3*u - 2*g, 2*g - 5*g - 306 = -3*u. Suppose 0*l = -l + u. What is the greatest common divisor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*l - l + l)*(0 - 5 + 3) - 9 + 9 + 4*l + (9*l + 72 - 72)*(-1 + 8 + 0) in the form j*l + h and give j.\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 2 (c) -27 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8379.2835 minutes in weeks?\nAnswer: 0.831278125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-2)*(-56)\/35\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**1\/n**(-2)*n**(3\/4)*((n**(1\/4)\/n*n)\/n)\/n assuming n is positive.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -6 + 36 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26 - 2. Let o = 7 + d. What is the highest common factor of 124 and o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + 4*y + 21. Let t be r(7). Suppose x + 2*z - 13 = t, 5*z = -2*x + 3*x + 22. Solve 5*f - x*f + g - 4 = 0, 0 = f - g - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (37 - 55) + 55 + -55\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.589236 microseconds in nanoseconds?\nAnswer: 5589.236","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - 11*p**2 - p + 14. Let c be u(11). Suppose c*f - 3*s + 12 = 0, -4*f = -5*f + 2*s - 7. What is the tens digit of (-1)\/f*(-810)\/(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 19*t - 1\/84*t**7 - 1\/4*t**3 + 0 + 1\/2*t**2 + 1\/10*t**5 + 0*t**6 - 1\/12*t**4. Find g such that u(g) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 + 76. Let v(r) = -205*r. Calculate v(l(c)).\nAnswer: -1640*c**2 - 15580","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 67. Let m(w) = w**2 - 11*w + 4. Let i be m(q). Suppose i*a + 5*n = 357, n - 26 = -4*a + 343. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37621411123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -922*k**2 - 4*k. Let v be f(-3). Let r = 2286 + v. What is r rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/24 and 89\/78.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -1026664*c + 16. Let k(f) = 1026664*f - 16. Let n(q) = 4*i(q) + 5*k(q). Let z be n(-6). Round z to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, t: 3, r: 2}. Give prob of picking 3 t.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-17)*((-2)\/(-2))\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i + 35*i + 300 = -20*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vssspssaxxaspxaxxps. What is prob of sequence aaa?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -3*o**3 - 5*o**2 + 27*o + 98. Calculate x(-5).\nAnswer: 213","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**3 + 12*s - 10*s + 19 + s**2 + 5 - 5 + 3 as j*s**3 + w*s + k + h*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + (-8)\/(-24))*27. Let o = -22 + w. Is 30 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 164.4314 - -0.2686. Let f = k + -165. What is the third smallest value in f, 4\/3, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 112, 364, 852, 1654, 2848?\n\"Answer: 13*q**3 + q**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k + 5*k - 2*k)*(-2*k**3 - 3*k**3 + k**3)*(-1 + 1 + 3).\nAnswer: 12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94, 92, -492, -2132, -5302?\nAnswer: -10476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*2*(-1 + (-1 + (sqrt(320)*2*5 - (sqrt(320) + -4*-1*sqrt(320))))**2) + 5.\nAnswer: -79995 + 800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -1577931419.714\nAnswer: -1577931398.714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a + 13. Let g be (-14)\/(-1 + 0 - -3). Let p be u(g). Calculate the highest common divisor of 50 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 10*j**2 - 7*j + 74. Let c be l(10). What is the fourth biggest value in 0.51, -0.5, c, -5, 2\/3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/7*98\/(-88) and -71\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 10*l - 9. Let z be i(-9). Solve -5*r - 4*u + 2*u = 5, z = -3*r + 5*u - 34 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29848)\/(-624) + -50)\/((-2)\/12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1548043?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -24 (base 16) to base 3\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.022 + -0.422. What is the smallest value in y, 0.2, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 - (-7 + (-4 - 24)). Calculate the greatest common divisor of 96 and m.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/20 and 49\/1536?\nAnswer: 7680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-20)*1)\/(20\/50)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 11*v - 7 + (-v + 3*v + v)*(1 + 1 + 0) + 3*v + 0*v - v)*(2 - 1 - 5)*(0*v - v**2 + 0*v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t**2 - t + 8. Suppose -9*w = -6*w - 12. List the prime factors of a(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6\/91 - -73\/273. Let d(v) be the first derivative of g*v**2 - 4 + 4\/9*v**3 - 1\/6*v**4 - 4\/3*v. Factor d(m).\nAnswer: -2*(m - 2)*(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (2 - (29 - (-11 - 6))).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9526 and -0.08.\nAnswer: -9526.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from aagrv.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z**(-1))\/((z\/(z*z*z**(4\/9)*z))\/z**(2\/11))*(z**(-2\/7)*z)**(-3\/13)\/(((z**7*z)\/z)\/z*z\/z**(-2)) assuming z is positive.\nAnswer: z**(-85933\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 44 (base 5) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/(32\/(-24)*-1)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -80 - -83. What is the nearest to 1 in d, -1.4, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 10*x**2 + 11*x + 3. Let y be r(-11). What are the prime factors of ((-3)\/y*19)\/(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178248499 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-5)\/sqrt(3) - (1 + -1*sqrt(48)))**2.\nAnswer: 32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 189.787 - 190. Let p = 3621370.51300101 + -3621370.3. Let i = d + p. Round i to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1120?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46352?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44614*w**4 + 5*w**2 - 7*w + 1 wrt w?\nAnswer: -1070736*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3530102?\nAnswer: 2, 1765051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -252723 * -171\nAnswer: 43215633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1190 = -52*c + 59*c. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 67250 - -4?\nAnswer: 67254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 281262580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose 5*p + 4 + 11 = m. Let b(g) = 1 + 2*g**2 + 0*g**2 - 3*g**2. What is b(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*p + 7431 = 57023 + 28408. What is the greatest common divisor of p and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 8*j = 17*j - 42. Solve 9 = j*c, 5*c - 6 = 3*x + 21 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-4)*-181)\/((-29)\/116). Let k = o - 198. List the prime factors of k.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-6 + 7)*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -523 + 531. Which is smaller: a or 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20374 is divided by 66?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3 - 791356*l**2 - 3956704*l - 4748016 = 0. What is l?\nAnswer: -197834, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 40.8 (b) 39 (c) 1\/3 (d) -41\/6 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) 2\/9 (c) 5 (d) -4 (e) 15384.35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*3 + -1 - ((2 + sqrt(68))*-4 + sqrt(68)))**2.\nAnswer: 168*sqrt(17) + 2497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305008 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 5*-6*(-3)\/(-45)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3043, -3045, -3047, -3049?\n\"Answer: -2*m - 3041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 56\/5 - (-16)\/(-80). Let k be (6 + -7)\/(2\/(-4)). Solve k*i - 3 = -t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 0*z - 10 = 0. Let q(p) = -11 - 35*p**3 + 0*p - 2*p + z. Is q(-1) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3*q**2 - 29*n**3 - 7*n**2*q**2 - 28*n*q - 2*q**2 wrt q?\nAnswer: -6*n**3 - 14*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 1 (c) -0.065 (d) -11 (e) -5 (f) 2\/5 (g) 63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j**5 + 8*j**3 - 19*j**2 + 38*j**2 + 22*j**2 - j**3 wrt j.\nAnswer: -180*j**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, k: 3, b: 2}. What is prob of picking 1 w, 1 k, and 1 b?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*w - 144 = -53*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -3*v - 6. What is y(-11)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -158\/43841 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bynbbyb. What is prob of sequence nb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -o**2\/2 - 1. Let a be 10\/1 + -1 - 23324\/3332. Let x(v) = 4*v - 2. Give a*b(s) + x(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - (25 - (-30 + 57))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86753, 0, -47, -5.\nAnswer: -86753, -47, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -409 - -412. Which is the nearest to 0.1? (a) 12 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.1678 millimeters to centimeters.\nAnswer: 4.41678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0997001 to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -99, -96, 7, 210, 513, 916?\n\"Answer: 50*x**2 - 147*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -18498*-3.1\nAnswer: 57343.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4426678.\nAnswer: 2, 43, 51473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c = 183*c + 2078 - 262 + 2782 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is sixteen ninths of a day in minutes?\nAnswer: 2560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -8. Suppose 0*h - 2*h + 86 = -m*s, s + 179 = 4*h. What is the units digit of h\/(-4)*64\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.64322.\nAnswer: -1.92966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35459620 rounded to the nearest one hundred thousand?\nAnswer: 35500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -412\/117 + 40\/13. Which is the second smallest value? (a) 2\/5 (b) i (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49178474?\nAnswer: 2, 24589237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 5 = 5*z, -x - 3 = 2*x + 3*z. Let c = x - -3. Suppose -5*q + 109 = -2*p + 290, 44 = -q + c*p. Round q to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.3 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1556 is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*k - 2*k + 546. What is the least common multiple of k and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1243 - -3131. Suppose -2*n = x - 2935 + 19, -3*n - 5*x = -c. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of b**5\/20 + 3*b**4\/2 - 6*b**2 + 9*b. Let u be j(-18). What is the tens digit of 123\/9 + u\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q + 55. Let o = 127 + -74. Suppose 5*l = 3*l - 5*s - o, -3*s - 85 = 5*l. List the prime factors of f(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 10*f + 9. Give t(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - v**2 - 2*v. Let p be l(2). Let n(a) = 3*a**3 - 4*a - 3*a**2 + p*a**3 - 4*a**3 - 3. What is the units digit of n(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3284 = -15*g + 2146. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250 + 85*k**2 + 94*k**2 - 181*k**2 to the form n*k**2 + z*k + p and give p.\nAnswer: 250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53636 = -5*u + g, 3*g + 32184 = -6*u + 9*u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45669*x**3 - 17*x**2 + 190*x?\nAnswer: 274014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x. Suppose 25 = 6*c - 5. Let g(d) = 7*d - d - c*d - 5*d. Give k(g(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*a = 3*j - 18, 2*a - j = 4. What is the remainder when 166 is divided by ((-605)\/(-21) + 2\/(-14))*a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5974577.\nAnswer: 7, 199, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 6785.61 to the nearest ten.\nAnswer: 6790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1222 - -4?\nAnswer: 1226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 4*k - 761 + 738 as j*k + f and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134 - 44. Let p be 8\/10 - (-108)\/x. Solve 4*q + 4 = -2*d, -3*d - p*q = -3*q - 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -740\/9*l**2 - 2\/3*l**3 - 122\/3 + 1\/9*l**5 + 122\/9*l**4 - 979\/9*l.\nAnswer: (l - 3)*(l + 1)**3*(l + 122)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-205)\/123)\/(((-4)\/6)\/2). Suppose -2*i + 367975 = -6*i + r*l, 0 = i + 5*l + 92025. Round i to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - y**2 - y + 2. Calculate n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -19560, -19553, -19546, -19539, -19532?\n\"Answer: 7*m - 19567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5241951, -5241907, -5241863, -5241819?\nAnswer: -5241775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41984 is divided by 10436?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 - 5*o + 2. Is z(-10) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111943 and 43273?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1783 = -3*n + 2*r, 0*r = 5*n + 4*r - 2979. Suppose -n*j = -603*j. Solve i - 2 = t, 3*t + i + 0*i + 18 = j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvdj when four letters picked without replacement from vvvvvjvjzvvdv.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - w + 6*w)*(4*w + w**3 - 4*w) + (-w + 2*w + 0*w)*(7*w**3 + 7*w**3 - w**3).\nAnswer: 15*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/14 + 22\/7. Let o(m) be the first derivative of 26 - g*m**2 + 15*m. What is the derivative of o(h) wrt h?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187891 = -3*u - 2*w, u + 5*w + 32853 = 95466. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2132532 (base 6) to base 9\nAnswer: -170772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 9\/5 (c) 3.2 (d) -11521\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.34 and 24.11.\nAnswer: 8.1974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 10. Let n(u) = u**2 - u. Let v be n(j). Suppose 0 = -5*d - 5*x + 25, -v*d = 4*x - x - 15. Which is smaller: d or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/2, 0.5, 2\/11, -3\/5, 0.03, -22\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 48 - 36 = 4*d, 2*d + 4*i = 20. Solve 17*v + 45 = d*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6*x = 3*x - 78, -x + 229 = 5*j. What is the highest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xqxntgug. Give prob of sequence qn.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 109123.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6394 is divided by 3978?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 - 59. Let m be (l\/(-2) - -2)*1. Let i = 22 - m. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/7)\/t)\/t)\/t*t)\/t*t)**(1\/3)\/(t\/(t\/t**6))**(6\/11) assuming t is positive.\nAnswer: t**(-932\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 62041.\nAnswer: -24816.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*m + 3*c = 33, -47*m + 4*c - 35 = -50*m - 60 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -5, -2, -2\/15, -641, -2\/69, 2.6?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -14*t - 165. Let w be f(-12). What is the highest common factor of w and 375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 6\/5 (b) -4 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 4:03 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 899*m**4 - 2*m**3 + 2*m**2 + 167 wrt m.\nAnswer: 21576*m - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -378 or -418?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01016 or 10.8?\nAnswer: -0.01016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 times 28502?\nAnswer: 18868324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 45. What is the remainder when 27 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4*k - 104 = 0. Suppose 9*h = 152 - k. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*o - 132 - 92. Suppose -3*n + o = -23. Suppose -23 + 193 = b. Calculate the highest common divisor of b and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + 2 - 2)*(3*h - 4*h + 5*h + (-h + 0*h + 0*h)*(1 + 2 - 5) + 2*h - 2*h + h).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 1033.003497 to the nearest ten.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1834.\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 + 4)*3*1. Let j be f\/(-4) + -3 + -2. Let r = -10 - j. Let x(y) = 2*y - 1. Determine x(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1134442 (base 6) to base 10\nAnswer: -59354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839823 is divided by 414276.\nAnswer: 11271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 25. Let m(a) = 13*a**2 - 4. What are the prime factors of m(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 68 + -71. Is f smaller than -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u - 3. Let m be y(-4). Suppose 3*a - 2*a + m = 0. Let o = a + 106. What is the remainder when o is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211520.\nAnswer: 2, 5, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2 - 8. Let t = -230 + 326. Suppose j = -7*j + t. Solve 0*r - j = -g*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2376 and 546.\nAnswer: 2922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00671275426 rounded to 6 dps?\nAnswer: -0.006713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10) - (sqrt(10) + 1*1*sqrt(10)) - (sqrt(10) + sqrt(50)\/(sqrt(5) + sqrt(5)*-2)))\/((sqrt(576)*-2)\/sqrt(2)).\nAnswer: sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -28. Let q = x + -3. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 10 = -4*u, 32 = -151*r - 5*u - 270 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 42 - 24 - (5 + 2)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 526 * 0.08.\nAnswer: 42.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 - (-6 + 6)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b - 17. Let f(y) = 34. Determine 3*f(c) + 5*t(c).\nAnswer: 5*c + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -13098*q**2 - 13161*q**2 + 3*q + 26169*q**2 - 1 - 3 in the form g*q**2 + k + b*q and give g.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10295*q**4 + 474*q + 10?\nAnswer: -123540*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30862 + -31025.29. What is h rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x + 26. Let b be d(5). Let q be (106\/b)\/(38\/114). Calculate the greatest common factor of q and 106.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + a + 1. Let y(s) = -6*s**3 + 3*s - 1. Calculate 4*v(q) - y(q).\nAnswer: 2*q**3 + q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2 + 11*a - 5. Let m(w) be the third derivative of 5*w**4\/24 - w**3\/3 + 2*w**2 - 175*w - 3. Give 3*l(q) - 7*m(q).\nAnswer: 3*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6502541 rounded to the nearest one hundred thousand?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/11, -0.3631, 44?\nAnswer: -0.3631","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15936207?\nAnswer: 3, 7, 758867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4\/2 - 160*z**3 - 6440*z**2.\nAnswer: 5*z**2*(z - 92)*(z + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/6*(-15 - -27). Let j be 45\/15 + (-76)\/c. What is p in j*p**4 - 1\/4*p + 9\/8*p**3 - 5\/8*p**2 + 0 - 7\/8*p**5 = 0?\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191, 392, 605, 830, 1067?\nAnswer: 1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5932 - -5929.8. Which is greater: -22.9 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3 = -5. Let q(z) = z**2 + z + 15. Let u be q(0). Let h = u + s. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 4157.\nAnswer: -3\/4157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 2*y + 88. Does 44 divide n(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 + 27*z**2 + 139*z + 444. Let m be r(-13). Calculate the greatest common factor of 1239 and m.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*b**2 + 80*b**2 + 268*b**2 as a*b**2 + z*b + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334780 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of 2*f**3\/3 + 27*f**2\/2 + 9*f + 76. Give i(-13).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-33)*11)\/(1*-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -20. Let r = n - -17. Which is the nearest to 0? (a) -1 (b) r (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*-1)\/sqrt(11) + (sqrt(68)\/(2*sqrt(4)) - sqrt(17)).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368584705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1129 and 1961?\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (3 + -4 - 1) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 9:44 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4*(-2)\/20)\/(24\/(-720)). Let m be (20\/(-25))\/(r\/10). Find k, given that 1\/3*k**5 + 0 + 0*k + m*k**3 - k**4 + 0*k**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**2 + 3*k**4 + 3*k**3 - 6*k**3 - 3*k**3 - k**4.\nAnswer: 2*k**2*(k - 4)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = t - 99*u + 100*u, -t + 3*u = -13 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n - 2. Let j be 4\/((-16)\/(-26))*2. Suppose 11 + j = 4*h. What is the least common multiple of h and d(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2 + 9572*z - 142680 = 0. Calculate z.\nAnswer: 15, 2378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20933)\/(-1452) + -18)*-36.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.07 + 0.13. Let c = o + -1.06. Let p(i) = i**3 + i**2 - i + 2. Let f be p(-2). What is the nearest to -1 in f, c, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, l: 2, d: 7, c: 1, s: 4, t: 5}. Give prob of sequence dlct.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2. Let s(i) = 3*i**3. Give -12*f(z) + s(z).\nAnswer: 3*z**3 - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 15 + 4 - 5 + 10*d. Let w be y(11). Solve -3*z + l + 10 = 0, 4*z + w = -l + 14 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79738577?\nAnswer: 79738577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 22*q + 20. Determine g(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (95 - 80 - 72)*(0 + 0 - 2*l) as k*l + o and give k.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/5*y**2 - 2\/5*y + 0 = 0. What is y?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1720187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*s + 3*s = 23, -5 = -s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -5, -0.03, -0.06?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 - 8*r + 18. Let u be p(-10). What is the common denominator of 79\/2 and (-158)\/(-12)*(u + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-5 + -40) - (-2 + 1). Let o = -41 + n. Factor -97*x**3 + o*x**4 - 69*x**2 - 25*x**4 + 31*x**3 - 18*x.\nAnswer: -3*x*(x + 1)*(x + 3)*(5*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1029 + -1029.4. Let c(v) = -v**3 - 4*v**2 - 2*v + 2. Let u be c(-3). What is the closest to -0.1 in p, 1\/4, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20790 by -14.\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o - 366*o = -8*o + 1835 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 2*x - 6, 11*p - 3*p = x + 16. Suppose -o + v = -4, -p*o - 1 = -v - 8. Solve -o*q = 4*y + 6, -4 = 2*y - q + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -40*j - 639. Give a(-17).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 9)*(-n - n + n + (2 - 1 - 3)*(2*n + 9 - 9))*(1 + 0 - 3) to c + x*n and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 - 3*n - 7. Let m be k(-12). Calculate the greatest common divisor of 55 and m.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -1 + 2 + 2*g**3 - 3*g**3 - g**2 - g. Let q(y) = 2*y**2 + 2*y. Let s be -5 + -1 + 2 - -42. Let a = s - 37. Give a*q(i) + 2*j(i).\nAnswer: -2*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2916139.\nAnswer: 19, 31, 4951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_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: What is the greatest common divisor of 225 and 1200?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 775 in 1\/8, 10\/9, 0.1, -0.5, 1\/2?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12870 and 234.\nAnswer: 12870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9.882 and -2?\nAnswer: 19.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 20274075 divided by 5\nAnswer: 4054815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 883 - 877 - 7*w.\nAnswer: -8*w + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 854850290 to the nearest integer?\nAnswer: 949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 404 = 14*z - 5070. Suppose 4*y + z = 1335. What are the prime factors of y?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1022)\/1168)\/((-3)\/(-24))*(-2)\/273*-27.\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h + 1. Let c(t) = 6*t. Suppose 3*b = 5*j + 32 - 2, 4*b = 4*j + 24. Determine j*c(f) + 5*x(f).\nAnswer: -f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 12*a + 167. Determine p(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 284*j**5 + j**3 - 1262*j**2?\nAnswer: 17040*j**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59 - 163 + 104 - z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6192174 and 767172.\nAnswer: 86690436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 24*v**2 - 2*v - 35. Suppose -95*d + 96*d + 24 = 0. What is the remainder when t(d) is divided by (1 - -6) + -6 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -898818 (c) -0.079 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-18))\/(480\/(-19440))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1380191606?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 + l**2)*((2 - 2*l - 2)*(2*l + 1 - 1) - l**2 - 3*l + 3*l + 82*l**2 + 6*l**2 + 144*l**2).\nAnswer: 454*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -14. Let o(v) = -8*v**3 + 20*v**2 + 10*v + 21. Let f(l) = -l**3 + 2*l**2 + l + 2. Let s(j) = -9*f(j) + o(j). Calculate s(d).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2. Let z(b) = 3*b. Let i(m) = m. Let p(y) = 2*i(y) - z(y). Determine p(o(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -4. Let i = c + -87. Suppose i = -5*k + 596 + 429. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*h = -0 + 7, -4*y - 5*h = -19. Let r = -0.7 - -0.4. Which is the closest to y? (a) -0.1 (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -28376, -28372, -28356, -28322, -28264, -28176, -28052?\n\"Answer: p**3 - 3*p - 28374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -7. Sort -2, x, 7 in ascending order.\nAnswer: -2, x, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 6*q + 68. Let s = q + -8. What is the highest common factor of s and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13653026 is divided by 937?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*f**2 - 29*f - 35*f**2 - 32*f**2 in the form p + k*f + c*f**2 and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -466 + 466.0002086. What is s rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(2\/17)*o)\/o**20)\/(o**(-1\/2))**(-39) assuming o is positive.\nAnswer: o**(-1271\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22.6 - -16.6. Which is the nearest to -1? (a) -5 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (2 - (7 + 2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/20 - 156\/(-5). Let v = 27 - l. Put -2, v, 4 in ascending order.\nAnswer: v, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 1. Let w be i(1). Suppose h + w*h = 7*h. Let z = 3 - h. Solve 4 = z*p + 2*k - 0, -5*p - 5*k = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1\/3, 3, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.26 + 10.26. Let v = p - 10.3. Let s = -0.9 + -0.1. Which is the closest to 0.1? (a) s (b) v (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1, -8, 0, -5 in decreasing order.\nAnswer: 9, 1, 0, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87\/203 + (-365)\/35.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 6:40 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p + 9 = 0. Let c = 167 - 86. Let m = -245\/3 + c. What is the second smallest value in p, 1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27741 + 73376. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83653 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -4, 4, -193535.\nAnswer: -193535, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/20 - (-1 + -1). Let h = -604 + 604.261. Let y = -0.361 + h. Which is the nearest to w? (a) 2 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468 + 14*r + 469 + 4173*r.\nAnswer: 4187*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-36))\/(f\/(f**(1\/8)*f))*(f\/(f\/(f\/f**(4\/13))))**35 assuming f is positive.\nAnswer: f**(-1107\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 4:56 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 75028.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329\/30 - 1800\/6000?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnaer. What is prob of sequence ea?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3011313102 (base 4) in base 16?\nAnswer: c5dd2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - 5*t**2 + 12. Give k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1187004?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10435979 smaller than 10435977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of p**7\/13860 - p**5\/165 - p**4\/4 + p. Let w(r) be the third derivative of u(r). Let w(g) = 0. Calculate g.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w. Let p(r) = -5*r + 33. Let f(t) = 11*t - 66. Let q(i) = 6*f(i) + 13*p(i). Give q(m(g)).\nAnswer: -g + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/20 - 2*u**4\/3 - 4*u**2 - u. Let h be i(-8). Let w = h + 11. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-9)\/n**1)\/(n**(-3\/2)\/n*n**(-8)*n*n) assuming n is positive.\nAnswer: n**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4229*c*f**2 - 6267*c*f wrt f?\nAnswer: -8458*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2721651 and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (80\/60*(-2)\/(-8))\/((-1517)\/333).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((-8)\/4 + -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4*v - 310 + 12130 = 0, 0 = -2*t + 4*v + 5910. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-27) - (350\/(-63) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/39750865 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 1400 = -4*j. Let y = j - 146. Suppose 3*a - y + 32 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 20669300*q + 41338604.\nAnswer: -(q - 2)*(q + 20669302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*a**2 + 90*a + 8*a**2 - 16*a**2.\nAnswer: -25*a**2 + 90*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -130 and 4171372737.\nAnswer: 4171372607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 12:08 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 25*60979.1\nAnswer: 1524477.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694525 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -806*y + 807*y - 4*a, 3*y = -3*a - 9 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4144, 16424, 37020, 65938, 103184?\n\"Answer: j**3 + 4152*j**2 - 183*j + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1192956 divided by 298239.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 327 = -3*i - 5*g, -3*g = i + 99. Let h = 129 + i. Calculate the least common multiple of h and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 16*q**2 + q - 12. Let o be l(16). Suppose -o*k - 12*k = 48. Let z(p) = p**3 + 3*p**2 - p - 2. Calculate z(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - -3 - (6 - (-10)\/(-5)). Let f be (-52)\/(-2)*(-1 + 35\/36). Is f equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*i - 10. Suppose i*k = -k + 444. Suppose k = 3*s + 3*j, 6*j = -s + j + 29. Do s and 39 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w**4 + 0*w + 1\/60*w**5 + 0*w**3 + 0 - 3*w**2. Let j(k) = -2*k**2 + 4*k**2 - 4*k**2. Give x(j(i)).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 9818448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15 and -0.06.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (4*(-10)\/120)\/((-2)\/36)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 354180 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 1758, 2 in descending order.\nAnswer: 1758, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.36 + 0.06. Let c(t) = t**3 + 11*t**2 + t + 8. Let b be ((-363)\/99)\/(-1 - 4\/(-3)). Let i be c(b). What is the closest to 2\/7 in i, -3\/5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12455 - 3?\nAnswer: 12452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20011 - 48*r**2 + 20011 + 490*r**2 - 830*r**3 wrt r.\nAnswer: -4980","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + -5*sqrt(539))**2.\nAnswer: 70*sqrt(11) + 13476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79531, -79539, -79547, -79555, -79563?\nAnswer: -79571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 2*z**2 + 2*z - 1. Let p be j(2). Suppose 3*t - p*d - 19 = 2, -t + 4*d + 13 = 0. Which is the closest to 0.1? (a) 0.2 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*2\/35 + (2 - 2).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 54 + 6 + ((-108)\/9 - -11). Solve 61*l - g*l + 4*r - 6 = 0, 2*l - 6 = -5*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*a**4 - 80*a**3 + 22*a**2 - 2*a = 0 for a.\nAnswer: 0, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40198.1 millilitres to litres.\nAnswer: 40.1981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-3 - 48\/(-10)). Let k = f + 67\/40. Let q = -41 - -45. Sort k, 17, q in descending order.\nAnswer: 17, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -44. Let z(k) = k**3 + 14*k**2 + 13*k + 14. Let p be z(-13). What is the lowest common multiple of p + -3 + (-3 - -5) and l?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 178663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/3*(1 - 0). Suppose -10 = 3*o + a. Sort -1, 5, o in increasing order.\nAnswer: o, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1320\/(-1485))\/(20\/1080).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2 + sqrt(320) + 1)**2*3 - 4*-6*((sqrt(45) + -1)**2 + sqrt(45))).\nAnswer: -120*sqrt(5) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 e when two letters picked without replacement from {m: 2, x: 7, a: 5, e: 3}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**2. Let q(r) = -42*r**2. Determine q(y(t)).\nAnswer: -1050*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 4*z**2 + 3*z. Let k be h(-3). Let j = -1031.1 - -1028.1. Which is the biggest value? (a) k (b) 0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o + 15. Let j be z(-6). Let d = -38 - -41. Let b be (d\/2)\/(54\/20 + -3). Put j, 0, -2, b in descending order.\nAnswer: 0, -2, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6601\/13 + -507. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1008128 a multiple of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + ((585 - 590) + -10 + 0 - (-9 + 1)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 1614997 = -2*t + 1309613, -4*t - 3*r + 5849195 = 0. Let a = t - 30724739\/21. Let p = a + 4693\/6. Find the common denominator of p and 91\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-48)*(-2 - -10). Solve -5*s + g - 8 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 260, 524, 792, 1064, 1340, 1620?\n\"Answer: 2*i**2 + 258*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l - 3*l**3 + 38 - 4*l**3 - 7*l**3 + 15*l**3 in the form c*l**2 + v + x*l**3 + h*l and give v.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**5\/20 + 23*g**4\/12 + g**3\/6 + 4*g**2 + 17*g. Find the second derivative of n(m) wrt m.\nAnswer: -6*m + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/15 and 19\/9942.\nAnswer: 49710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2248 divided by 6938?\nAnswer: -1124\/3469","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/(-25)*(-5)\/2*(-840)\/756.\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9. Let n(r) = r**2 - r. Let z(c) = -6*c**3 - 4*c**2 + 4*c - 10. Let j(l) = p*z(l) + 4*n(l). Find the first derivative of j(m) wrt m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106169590 divided by 5.\nAnswer: 21233918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 132 (base 6) to base 11\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + q - 4. Let h be z(-3). Let r(a) = 3*a - 15. Let f be r(6). Suppose f*x - 17 = 4*g, -4*x + g = -3*g - 20. Solve x*t + 4 = h*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 13*p - 67. What is the third derivative of -2*o**6 + 18*o**2 + 92*o**2 - 3*o**4 - p*o**3 + 4*o**3 + 4*o**6 wrt o?\nAnswer: 240*o**3 - 72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3627 and 186.\nAnswer: 7254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, q: 2, m: 2, c: 2, e: 1}. What is prob of picking 1 q and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12332 - -7010.87668. Put 2\/9, u, 4 in increasing order.\nAnswer: 2\/9, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 4*n - 9)*(-3*n + 3*n + 2*n**2) + 2*n**2 - n**3 - 2*n**2.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1320 and 181830.\nAnswer: 727320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 49 = 13*r + 2*z, 4*z = 3*r - 19 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600465298?\nAnswer: 2, 300232649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355*w - 1364*w + 31 = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y + 15. Let l(d) = d + 1. Let t(h) = -4*l(h) + w(h). Let o(n) = n**3 - 9*n**2 - 10*n - 9. Let s be o(10). Let f be t(s). Solve -k = -f*k - 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1971095 and 18395.\nAnswer: 1415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvzmvzmvmvzvvvvvv. What is prob of sequence vz?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1698343 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/64 - -1) + 8 + 150\/(-16)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide -6 + (7627 - (-130)\/13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 2*f**2 - 4*f + 2000. List the prime factors of g(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 15957 = -3*q, -5*q - 246*w = -247*w - 26618. Does 17 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -874, -1282, -1704, -2146, -2614, -3114, -3652?\n\"Answer: -v**3 - v**2 - 398*v - 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*(-1251 + 624 + 627 - 336*u) - 83 + 2*u + 90 + 0*u.\nAnswer: 338*u + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = l - 44, 11*r = 14*r - 3*l - 75. Solve -10*j - r = -3 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 30, -2*b + 3*w + 195 = 197. Solve -7*u + 10*u + s + 13 = 0, u = -4*s - b for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5454751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*o**3 - 2*o - 13*o**2 + 0*o + 12*o**2 + 0*o + 46 + 22*o**3 to v*o + g*o**2 + t*o**3 + m and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14126 + 4520 + 2630 + 4444)*(0*u**2 + 0*u**2 - u**2) to the form i + p*u + g*u**2 and give g.\nAnswer: 2532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241499372 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -5*l - 548. Find the common denominator of 1 + (-73)\/18 - 0 and l*(-4)\/(-192)*4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 256*k**2 + 4340*k + 7688.\nAnswer: 4*(k + 2)*(k + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 - 18*m - 37. Let t be f(-15). Let r be (-1)\/(-2) - t*11\/88. Which is the second biggest value? (a) -0.3 (b) -2\/23 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d6 - -44d8d?\nAnswer: 45485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**2\/7 - 380362*i\/7 - 760716\/7 = 0.\nAnswer: -190179, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8847 to 1 decimal place.\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 89793406 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*n**2 + 104*n**2 + 58*n**2 + 67*n**2 as a*n**2 + i + b*n and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*3*sqrt(624)*-2)\/((4*sqrt(105)\/sqrt(5))\/(4*sqrt(28))).\nAnswer: -192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1425130 (base 6) to base 3\nAnswer: 11010210000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 29*y + 154. Let z be v(7). Suppose 0*r + 12 = 2*r. Suppose z = r*l + l - 6979. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 818 + -2486\/3. Suppose 3*z = -z + 9912. Let b = 14759\/6 - z. Calculate the common denominator of y and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42736634 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15263 + -7912. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134 - 447. Let o = -311 - i. Put -8, -1, o in decreasing order.\nAnswer: o, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 3*i - 7. Suppose -2*y - 15 = -5*q, 2*q = -5*y + q + 30. What is the tens digit of a(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(27\/42)*-3. Let r = 28 + s. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 + 2*s**2 + 8*s - 6. Let a(o) = 2*o**3 + o**2 + 7*o - 5. Let t(n) = n**2 - 5*n + 5. Let f be t(5). Let u(g) = f*w(g) - 6*a(g). Factor u(y).\nAnswer: -2*y*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z, 2*z - 6 = -3*k. Factor 6*g**2 - 4*g**2 + 12*g + k*g**2 + 12 - g**2.\nAnswer: 3*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/(-5) - 2 - (-8856)\/60 is divided by 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - i - 6. Suppose -7*l + 4 = -9*l. Let x be f(l). What is the lowest common multiple of 11 and (-108)\/x + (-3)\/(-5)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 3*b**2 + 12*b + 4. Let s be n(-10). Suppose 2*p = 2 + s. Let t = p + -64. Calculate the remainder when t is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -0.1 (c) -5 (d) 0.1 (e) -240\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 184894696 and 2792034?\nAnswer: 1664052264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1436 + -791. Suppose -5*c - a = -x, -c = -1 - 1. Suppose -8845 - x = o. Round o to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22 - 0.04. Let o = 0.56 + q. Is o >= 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16668067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdgb when four letters picked without replacement from {g: 1, f: 1, b: 9, a: 2, h: 1, d: 1}?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -189 - -194. Which is the biggest value? (a) -25 (b) -0.2 (c) s (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - 49*p**2 - 11*p + 6. What is x(-12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -899? (a) 3 (b) -2 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 6\/2 - (1 - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-19)\/(-15) + 2\/(-3). Let f = -16403 - -16405. Sort i, -0.8, 8, f in descending order.\nAnswer: 8, f, i, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*3)\/3*13282\/(-1832)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -6*sqrt(700)*2)**2 + sqrt(700)*1 + -5 + sqrt(84)\/(2*sqrt(108)) + -5)*-3.\nAnswer: -354870 - 61*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6525, 12873, 19203, 25515?\n\"Answer: -9*r**2 + 6375*r + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18955452, 18955448, 18955444, 18955440, 18955436?\n\"Answer: -4*u + 18955456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34479770?\nAnswer: 2, 5, 13, 41, 6469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2697*a**2 - 4*a + 6*a - 2723*a**2)*(-37*a - 21*a - 22*a).\nAnswer: 2080*a**3 - 160*a**2 + 240*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -14, 1053, 0.3?\nAnswer: 1053","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 0*o + o + o**3 - 42 as f*o**3 + i*o + b*o**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (80\/(-140))\/((-2)\/973). Suppose s = 27*q + 62. What is the remainder when 101 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3689231 is divided by 4972.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -2*l + 9832, -10*j = 5*l - 9*j - 24604. Is l a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -53*g**2 - 2*g + 1. Let u be x(1). Let t be ((-1)\/3)\/((-9)\/u). Which is bigger: -4 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 84 = 5*d - 50, 4*w - 68 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -43507\nAnswer: -43506.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5669829.\nAnswer: 3, 11, 57271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + p**3 - 16*p**2 + 6*p**2.\nAnswer: 4*p**3 - 10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24413209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 + 4*h**2 + h**2 + (-6*h + 8*h + 8*h)*(0*h + 0*h - h) - 2*h**2 - h**2 - 2*h**2)*(3 + h**3 - 3).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*x - 49 = -9, 0 = -5*x. Let v be r\/(-16)*(-114)\/5. Let a = v + -18. Does 38 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1065 and 179133?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/3 - 367*c\/3 - 246 = 0.\nAnswer: -2, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 14*a**2 + 7*a - 58. Let q be p(-13). Suppose -w - t = 4*w - 3699, -3*w + q = 3*t. List the prime factors of w.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjjrrjrrjjjjrjjrrjrr. Give prob of sequence rr.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 408*s - 3137. What is y(8)?\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 938895.8 years in centuries?\nAnswer: 9388.958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**3 + 4*j**2 - 7*j. Let h be g(5). Round h to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1545 = 430*v - 533*v for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 5. Let m = -3 - k. Let t = -110 + 105. What is the second smallest value in t, 1\/8, m?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/22518 and -5\/1134?\nAnswer: 157626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -276*z + 166*z + 523*z + 553*z in the form n + p*z and give p.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 122 - 1584\/13. Let t be (-66)\/54 + (-2)\/(-9). Let v = -136\/795 - -2\/53. Which is the nearest to t? (a) 1 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 3*x**2 - 5*x**2 + (2*x - 2 + 2)*(2*x - 5*x + 2*x))*(-8*x**2 - 40 + 40).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 l when four letters picked without replacement from illlhilililll.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 (base 16) in base 3?\nAnswer: 1012100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -964160\/251 or -3841?\nAnswer: -3841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18268 is divided by 290?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*v + 14497 = -17647 for v.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140961000 rounded to the nearest 1000000?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -239\/3 + 84. Find the common denominator of -85\/72 and u.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 26*i**3 + i - 24*i**3 + 0*i as g*i**2 + n + w*i + y*i**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 48, -5, 6, 1 in decreasing order.\nAnswer: 48, 6, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 25*i**5\/3 - 45*i**4 + 250*i**3\/3 - 60*i**2 + 40*i\/3 = 0?\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 0.1 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 3, -0.7, 1\/2, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5372.5 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78512.\nAnswer: 2, 7, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = b - 0*b - o, b + 2*o - 93 = 0. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4798 divided by 216929\nAnswer: 4798\/216929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -248.647 (b) 0.04 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**3 + 4*u**2 + 30*u - 24. Let o be d(-5). Let w(i) = 5*i + 89. Let p be w(-9). What is the greatest common divisor of p and o?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**5 + 2*b**5 + 2*b**5 + (-4 + 3 + 0)*(b**5 + b**5 - 3*b**5) + (3*b + 0*b - b)*(b**4 + 3*b**4 - 3*b**4).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90967 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768 not equal to 243955\/138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -52. Let l be (-369)\/(-3) - v - 0. Let s = l + -68. List the prime factors of s.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 15*c + 54. Let q be d(3). Let b(r) be the third derivative of 0 - 7\/40*r**6 - 5\/8*r**4 + q*r + 13\/20*r**5 - 24*r**2 - 1\/2*r**3. Factor b(p).\nAnswer: -3*(p - 1)**2*(7*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 245*h**2 - 2154*h + 4376. Calculate x(2).\nAnswer: 1048","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 528496662 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4396b32 - 4?\nAnswer: 4396b2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {k: 1, l: 1, n: 13}?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eacqeqtqqtqzeecqezqq. What is prob of picking 1 q and 2 t?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**6\/360 - t**5\/10 + t**4\/6 + 26*t**3\/3 + 28. Let q(p) be the third derivative of x(p). Give q(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/29 (b) -0.1 (c) 0.1 (d) -2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gn when two letters picked without replacement from ycxgxjjnnjjn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 4, 1 in increasing order.\nAnswer: -3, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/14? (a) -5 (b) 1\/2 (c) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 651 - 219. Let x = -298 + p. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -446415889569 + -16\nAnswer: -446415889585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by 6\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2793 = 179*z + 5657 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -x + 112. Calculate the lowest common multiple of (-8)\/x - (-26)\/7 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-201 - 16434\/(-83))*(-3 - 13)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 606\/4096729?\nAnswer: 606\/4096729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/5 + 122*u**3\/5 - 238*u**2\/5 + 118*u\/5.\nAnswer: -2*u*(u - 59)*(u - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/(p**11\/p)*p)**(-15\/8))**(-4\/3) assuming p is positive.\nAnswer: p**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 12, l: 2}. Give prob of picking 2 y and 1 l.\nAnswer: 33\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 19 + 1 + -23\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/((-48)\/18))\/(2 - 3). Let o be (-24)\/32 + r\/12. Is -1\/214 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in -0.3, -0.29, 5, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 2*s**2 + 20*s + 2. Let f(a) = a**3 - 2*a**2 - 9*a - 24. Let c be f(5). Determine u(c).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25\/3 - 8. Let z(k) be the second derivative of l*k**3 + 0 - 1\/2*k**4 - 2*k + 0*k**2 - 1\/15*k**6 + 3\/10*k**5. Suppose z(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.029, 7, 137.4 in ascending order.\nAnswer: -0.5, 0.029, 7, 137.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 339 a factor of 1334375868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 3*t + 23, -2*z + 0*t - t = -9. Suppose -m + z*j - 10 = -0*j, -2*j + 16 = 2*m. Does 4 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.374 to 0 decimal places.\nAnswer: -105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -63284900 to the nearest one million.\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence shk when three letters picked without replacement from sbhpk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 264 = -23. Suppose 0 = -8*r - z + 121. Let o = -121 - -127. What is the highest common divisor of o and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**5 + 423*n**4 + 1662*n**3 + 2478*n**2 + 1647*n + 411 = 0. Calculate n.\nAnswer: -137, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 1010?\nAnswer: 1009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 348035 - 54633. Suppose -3*o - q = 1227598. What is o rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/10)\/z**(-2\/9))\/((z*z**3)\/z*z**(2\/13)) assuming z is positive.\nAnswer: z**(-3313\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seventeen halves of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 322, 645, 968, 1291, 1614?\n\"Answer: 323*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/60621 and 68\/67790811.\nAnswer: 745698921","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*m - 7*m - v - 337 = 0, 0 = -2*m + 5*v + 144. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 465 + -464.95. Which is the third smallest value? (a) -5 (b) -0.14 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -7, -29, -57, -85, -107, -117?\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/6)\/(-3 + 45*26\/351).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3.71104 decades?\nAnswer: 445.3248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-50)\/(-125)*(-10)\/(-24). Which is the closest to 52? (a) -3 (b) 3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 271, 0.01, -0.3, -5, 2\/25, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 181435 rounded to the nearest one thousand?\nAnswer: 181000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3272*g + 1638*g + 3447*g to u + v*g and give v.\nAnswer: 8357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -659 - 478 = -3*l. Let b = l + -2679\/7. Calculate the common denominator of -18\/11 and b.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(2\/9)*i\/(i**(-1)*i)*i*i*i*i\/i**(-3\/7)*i\/(i\/i**2)*i*((i\/((i*i**4*i)\/i*i))\/(i*i**(2\/9)))**(-2\/25) assuming i is positive.\nAnswer: i**(1601\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186429 is divided by 444.\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 0*m**2 + 0*m**3 - 21 + 0*m - 1\/4*m**5 + 5\/8*m**4. Factor j(u).\nAnswer: -5*u**3*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 13) to base 16.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**4 - 49946*c**3 - 199872*c**2 + 1398776*c - 1598528 = 0.\nAnswer: -8, 2, 24977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1723834 to the nearest integer?\nAnswer: 1313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 c when two letters picked without replacement from hheccevvneewvneennhv?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -216*d + 482*d - 1906 - 264*d. Let c(u) = 2*u. Give c(z(x)).\nAnswer: 4*x - 3812","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -6. Suppose 0 = -2*c - 5*s + 27, 2*s + 3*s = c + t. Suppose -v - 3*p = -45, 1 = 5*p + c. Calculate the greatest common factor of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 + 2*c - 9. Calculate h(7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34205, 64132, 94059, 123986, 153913?\n\"Answer: 29927*o + 4278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 90 = 19*p. Calculate the remainder when 72 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87930081.\nAnswer: 3, 19, 23, 79, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -26 + 30. Let z = -0.072 + 2.872. Let t = a - z. Round t to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 14) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:59 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-649720)\/(-1540) - 4\/22. Let q = l + -422. Sort q, 0.3, -0.1, 7 in decreasing order.\nAnswer: 7, 0.3, -0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/(-48) + -3 + 2\/(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 32*y - 7. Let i be b(-1). Let l = i - -51. Let a(t) = t**2 + 10*t - 8. Let w be a(l). Calculate the highest common divisor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12928093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1841859 and -6?\nAnswer: -11051154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v = 32*v - 10. Sort 4, -4, v, 2 in decreasing order.\nAnswer: v, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8 = 2*k. Let w be 0\/1 + 3*1. What is the second derivative of 10*t**w - 10*t**3 + 2*t + k*t**4 wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19523*q = 740270 + 1172984 for q.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 3.8. Let y = m + 3. Round y to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3*(-1527)\/(-45)*-35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1185358 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 18*k + 19. Let d be y(17). Which is the third biggest value? (a) d (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -48 (c) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**5\/25 - 4*k**4\/5 + 4*k**3\/5 + 8*k**2 + 10*k - 21. Factor o(l).\nAnswer: 2*(l - 5)**2*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16862227 = 2*r + 53337773. Round r to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 4*r = 11, -5*m - 2*r - 2 + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m**5))\/m)\/m*m*m*m*m)\/m**(2\/11)*(m\/m**6*m)\/m*m*m\/(m*m**(-3))*m*m\/(m*m**(-6)\/m)*m\/(m\/(m*m*m*m**(-6)\/m))*(m\/m**(2\/3))**39 assuming m is positive.\nAnswer: m**(141\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lllnllllllllllllllnn. What is prob of picking 3 n?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2398 to one dp.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/(-1248)*208)\/((-1)\/2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x**3 - 1275*x**2 - 6480*x - 5200 = 0. What is x?\nAnswer: -4, -1, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20 or -113\/6?\nAnswer: -113\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h + 4 = 38. Solve -24 = -2*i - h*i + c, 0 = 3*i - c - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1169*u**3 + 78128 - 78128 + (3*u**2 - 3*u**2 - 2*u**2)*(0 + 0 + 2*u) as o + h*u**3 + m*u + y*u**2 and give h.\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228360.\nAnswer: 2, 3, 5, 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 15 = -2*v + 15, 5*d = 3*v - 49. Let m be 24\/(-36)*3*v. Let i = m + 57. List the prime factors of i.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let g(h) = -h - 1. Let s be g(1). Is (-1 + a)\/(s\/(-106)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/3 (b) -4\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50405 + 86134. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -49. Let c = w - -72. Let d = -55.951 + c. What is d rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 12*v - 1. Let c be q(2). Suppose -3*l = t + c, -4 = -4*l + 2*t - 18. Let f = l - -13. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651254?\nAnswer: 2, 325627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + 2)*5)**2 + (sqrt(11) + 2*sqrt(11))*-3 + (0 + 1 + sqrt(11) + sqrt(11) - sqrt(11)).\nAnswer: 1192*sqrt(11) + 39701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -14*q - 3. What is the smallest common multiple of t(-1) and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1125 - 645. Does 17 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 38*h + 18*h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from tttttttttttbtbtttt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0, 4, -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 46818\nAnswer: 2\/23409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0, -1, 5, -3, -27, -159.\nAnswer: -159, -27, -3, -1, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/8 of a kilogram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52885947?\nAnswer: 3, 23, 229, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -29*i**3 + 17*i**2. Let t(f) be the first derivative of -f**5\/2 + f**4\/2 + 3*f - 3. Let m(z) be the first derivative of t(z). Give 6*j(q) - 17*m(q).\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2039 (base 10) to base 7.\nAnswer: -5642","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24 - 26 - 5*g + 4*g)*(2 + 7*g**2 - 2) to the form h*g**3 + m + o*g**2 + k*g and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -123 * 122907.\nAnswer: -15117561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/4*2 + 2. Let s = -1 + z. Find the first derivative of 4*a**3 - 1 + 0*a**3 + s wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2, -0.06, 120.08, 2\/21?\nAnswer: 120.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 360\/54*(-69)\/(-92). Solve 22 = 2*g + o*a, -a + 13 = -g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, -178, 5 in ascending order.\nAnswer: -178, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166 (base 10) in base 11?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249185025.\nAnswer: 3, 5, 197, 219911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4*q**24)**(-2\/39) assuming q is positive.\nAnswer: q**(-56\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 653550956?\nAnswer: 2, 163387739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -4*y + 144, 2*w + 1 = -3. Suppose -3*v + 50 = 4*n, 5*v + 3*n - 53 - y = 0. Solve 3*m - 2 = -5*a - 0*m, -3*a = -3*m + v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-253)\/(-55) + -5)\/((-484)\/(-20) - 6)?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1442011 - -1041?\nAnswer: 1443052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*36)\/((-147440)\/11058).\nAnswer: 54\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 5*q**2 + 5*q - 1. Suppose 25*t = 2*t + 138. Determine n(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -5*x**2 + 1073*x - 23640. What is f(25)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3382.9153 to zero decimal places.\nAnswer: -3383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -32. Suppose 12*n - z = 14*n. Let j(t) = 2*t**2 - 3*t - 3. Let k(m) = 15*m**2 - 25*m - 25. Give n*k(l) + 25*j(l).\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6}. What is prob of sequence kk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*a - 3*o + 11418015, o + 34253995 = -3*a. Round a to the nearest one hundred thousand.\nAnswer: -11400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -5 + 6848*k**2 + 17905*k**2 - k + 2*k + 25647*k**2. Let s be a(5). Suppose -f - f = s. What is f rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 39 - 14*f - 30 - 30. Let m be y(-8). Round m to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 1:12 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6526, 25962, 58346, 103672, 161934, 233126?\n\"Answer: -x**3 + 6480*x**2 + 3*x + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3400001437 - -1.34. Round s to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaytfvftv. Give prob of picking 1 a and 1 y.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + 3 + 6 + -4. Solve 0 = 2*y - 4*f + 6, -3*f = -5*y + 3*y - x for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1353689, 2707372, 4061055, 5414738, 6768421, 8122104?\nAnswer: 9475787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3396551 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/14 - -2\/21. Let q(t) be the second derivative of -1\/12*t**4 + s*t**3 + 2*t + 0*t**2 + 0. What is the second derivative of q(l) wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 633936864 + -3?\nAnswer: 633936861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, -50, 2, 5.\nAnswer: -50, -19, -2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0476015 - -0.28?\nAnswer: 0.3276015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gwg when three letters picked without replacement from wggwwwlg?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 q, and 1 n when three letters picked without replacement from yqnxq?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u - 4 = 0. Solve -3*k + 1 = -u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 - 1554*b**4 - 18129*b**3 + 44058*b**2 + 18132*b - 42504 = 0 for b.\nAnswer: -506, -14, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6*l**2 - 9*l - 14. Let k be x(-5). Let p be (-52)\/156*(0 - k). Solve p*b = -0*v + 2*v - 10, -4*b = -v + 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/106 and 3\/2 + 16\/(-10) + 1.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 24*d**2 - 38*d + 22. Let s(y) = 2*y**3 - 48*y**2 - 82*y + 41. Let u(c) = 13*j(c) - 6*s(c). Calculate u(24).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30 - -34) + -7 + (-1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 3\/2 - 95\/2*g + 368*g**2 + 128*g**3 = 0.\nAnswer: -3, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 720.598148 - 720. Let r = -2.401762 - o. Let s = r + 3. Round s to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 223\/138 + -8\/69. What is the nearest to -2 in -0.02, f, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -m - 8, -22 = 5*m + 2*g + g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 4*x**3\/3 - 313*x**2\/2 - 2*x + 4165. Let w(i) = -i. What is a(w(z))?\nAnswer: 4*z**2 + 313*z - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 46708.\nAnswer: -1\/11677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -667 (base 8) to base 9.\nAnswer: -537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.907 - 0.093. Let z = 12.59 + v. What is z rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s - 35 + 67. Sort 19, 2, 1, s.\nAnswer: s, 1, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -8. Let o be ((-2)\/i)\/((-1)\/(-20)). Let y = -4 - o. Solve 2*b - y*b = 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16842002 to 5 dps.\nAnswer: 0.16842","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 166080347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*(w - 2*w - 2*w).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1.79 - 101\nAnswer: -99.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 2300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c - 29*c + 140 = 5*c. Solve 3*o + c - 9 = 2*i, 3*i - 3*o = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*(1 + sqrt(637))**2 + (4 + sqrt(13)*-1)**2*-3).\nAnswer: -20*sqrt(13) + 1450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-55 - -40) + 46)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (6 + 2 - (8 - 7)) + -40.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 + -5 - -2 - 7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23690?\nAnswer: 2, 5, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1037636 (base 9) to base 2\nAnswer: 10000111111011001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 81332109 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-84)\/(-8)))\/(-4)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 5*i - 56 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 537, -3, -18895 in descending order.\nAnswer: 537, -3, -18895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 12\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27, 0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-15)\/(-9))\/(-1)*-3. Suppose k - s = -4*k. Solve -19 = 5*p + 3*t, -p = 5*t - k - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19073 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20607 = 4*l - 22917. Is 117 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9189888469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -c + 29 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q + 60*q - 415*q**2 - 111*q - 271*q**2.\nAnswer: -686*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide (-12)\/(-7) + 461450\/770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, -2\/11, 0.23, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 121998791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 19 = 5*i, 2*i = -0 + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 7:02 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -9368 divided by 2342?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2. Let f(q) = q + 6. Let a(v) = -2*f(v) + 7*k(v). Let m be a(-3). Let l be 25\/50 - ((-158)\/4)\/1. Calculate the greatest common divisor of m and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36*(-231)\/(-5355) + (5 - 95\/25)?\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 2*n - 21 + 9 = 0, -3*n + 12 = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-168)\/70 + (-6)\/10. Sort 2\/3, b, -0.3 in descending order.\nAnswer: 2\/3, -0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2520\/((-40)\/(-1)))\/(-1)\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 6 = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -215*r - 216*r + 5603 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - -36. Suppose 0 = r - 0*r - 3. Suppose -4*z + 2*z = -u + p, 0 = -2*u - r*z + 59. Is u a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 2:24 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - 3*(-2)\/6. Let z be 1 + -2 + 60 + a. Suppose -48 = -2*r + z. List the prime factors of r.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -5*p**4 - 365*p**3 + 23390*p**2 + 176360*p + 309120 = 0.\nAnswer: -112, -4, -3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 - 51*z + 48.\nAnswer: 3*(z - 16)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -577046.43 rounded to the nearest 1000?\nAnswer: -577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) 1\/6 (c) -0.006 (d) -75242 (e) -5 (f) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 6*m**2 + 4*m - 1. Give c(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (-6 - -19) + 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -889\/2 + 443. Which is the smallest value? (a) 0.2 (b) -0.05 (c) h (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*u - 109 + 90, 5*u = -3*f + 24 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 45, -177156 = 3041*r - 3045*r - 4*l. Is 82 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 8:28 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11195 - 11195 + 4*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1696638375.\nAnswer: 3, 5, 773, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.047 - -0.045335. What is m rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 8:10 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 4*a - 1. Let q be d(2). Let o = -154 - -154. Suppose 4*y = -n + 107, o = 2*n + 5*y - 148 - 54. What is the greatest common divisor of q and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 145993463 to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 67. Let r = -15 + 8. Let o = x + r. Which is bigger: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8001)\/(-39) - (-2)\/(-13). Let l = 459 - t. Calculate the remainder when l is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13387642 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8\/6 + (-610)\/(-15)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -19 + 0 - -36) + 18.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q. Let c(k) = -1483*k**2 - 6*k + 8. Let o(w) = -2970*w**2 - 13*w + 18. Let v(z) = -9*c(z) + 4*o(z). Determine a(v(p)).\nAnswer: 1467*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22979.11359 + 22979. Let d = -0.387 - -0.5. Let c = g + d. Round c to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let t be c(-2). Let r be -7 + 11 + -2 + 1 + 0 + 2. Solve 2*l = -0*l + 4*j - 14, -5*l + t*j + r = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**4\/5 + 49*c**3\/5 + 20*c**2 - 28*c\/5 = 0. Calculate c.\nAnswer: -2, 0, 1\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -111110101101 (base 2) to base 3\nAnswer: -12111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*d**3 + 758*d**2 + 2542*d + 588.\nAnswer: -2*(d - 98)*(d + 3)*(4*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 3552*t**2 + 50316*t - 176792.\nAnswer: -4*(t - 7)**2*(t + 902)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1412.11861 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -923877 and 8.25.\nAnswer: -923868.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.07 + -0.07. Let b = 0.35 + -0.35. What is the nearest to b in -2, -3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 12798?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3006737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/10*(-8)\/(-15 + 47). Suppose 2*n + p + 0*p + 10 = 0, 3*n + 16 = -2*p. Let r be 14\/(-2)*(n - -3). Is r bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6198.\nAnswer: 2, 3, 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -25, -68, -131, -214, -317, -440?\n\"Answer: -10*t**2 - 13*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 3. Let p be b(0). Is 20 a factor of -1 + 68 + (p - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + 4 + -1*sqrt(1216) + -3 + -1)**2.\nAnswer: -32*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -5*v + 2*r, -2*v + 0*r = -5*r - 30. Let z = v - 7. Solve c = -j + 2, -5*j + 3*c - z = 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634751.9353 rounded to the nearest ten thousand?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2. Let v(u) = -3*u - 5. Let f = -30 - -35. Let i(s) = -s - 3. Let t(q) = f*i(q) - 3*v(q). What is t(a(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 72261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**5\/g)\/g)\/((g**(-8)\/g)\/g))**(-1\/9) assuming g is positive.\nAnswer: g**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 8*p + 2. Let s(c) = 5*c**2 - 39*c - 11. Let j(a) = a**2 + 15*a - 98. Let b be j(-19). Give b*g(v) - 4*s(v).\nAnswer: 2*v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*k - 47 = 0, -6*q + k = -5*q - 15. Suppose 8*l + 14505 = q*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7}. What is prob of picking 3 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -1.2. Let t(y) = y**2 - 2*y. Let f(w) = w**2 - 4*w - 18. Let v be f(7). Let q be t(v). What is the second smallest value in j, q, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 688.91 + -692. Let n = -0.09 - m. Which is the closest to 2? (a) 2 (b) -0.1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q + 7*q + q)*((2 + 0 - 1)*(-1 - 3 + 3 + (4 - 2 - 3)*(-4 + 4 - 2)) - 2 + 15 + 0) as r + h*q and give h.\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226 + -331. Let t = 104.9285 + v. Round t to 3 decimal places.\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 29. Let x be (6 - (-42)\/c)*(-8)\/(-10). Factor -2*a**2 - x*a - 2\/3*a**3 - 2\/3.\nAnswer: -2*(a + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -277*a + 12. Let m be y(-5). Suppose 28495 = 12*w - m. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 216*h + 22276. Give p(-103).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/384 and -77\/7296.\nAnswer: 7296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 65\/48 - -715\/48. Calculate the common denominator of 0 - 3\/6*-3 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -21. Suppose -8 = -b - 0*b. Let c be (-2)\/(-4)*0\/2. Solve -q*y = -c*y - b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/4 + 1515*m - 2295225 = 0.\nAnswer: 3030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*j**2*p**2*z + 6*j**2*p**2 + 44493*j**2*z**2 + 16*p**2*z**2 - 17*p**2*z - 28*p**2 + 19*p + 1 wrt z?\nAnswer: 88986*j**2 + 32*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = s + 14, o + 3*s + 16 = 3*o. What is the derivative of 0*f - 15*f + 19 - o + 7*f wrt f?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -6*o**2 + o + 2. Let d be i(-1). Sort -2, d, -4 in increasing order.\nAnswer: d, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 212939, 851749, 1916429, 3406979?\nAnswer: 5323399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(3441\/(-248)) - 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1174615 or -1174432?\nAnswer: -1174432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 3*x - 3*s + 2556, 3344 = 4*x - 4*s. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (27 - 42) - 7?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4840669 and 12572.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 85 = -29. List the prime factors of (1 + -3)\/(4\/u).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.053112*-0.5.\nAnswer: -0.026556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13034 and 9065.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-169)\/(-676))\/(10\/16)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(216)\/sqrt(8) + sqrt(27)))**2.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/23 + -19\/621. What is the nearest to -2\/3 in -0.2, b, 2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 11*o - 9. Calculate t(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 423640 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14*v**2 + 10*v - 1. Let q(p) = p - 271. Determine d(q(f)).\nAnswer: -14*f**2 + 7598*f - 1030885","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4697 + -4694. Factor 1\/8*q**4 + 0*q - 1\/4*q**2 + 1\/8 + 0*q**c.\nAnswer: (q - 1)**2*(q + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/12 - (-394)\/4. What is the greatest common divisor of n and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**5 + 24*n**4 + 52*n**3 + 2*n**2 - 51*n - 26.\nAnswer: -(n - 26)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 70211?\nAnswer: 561688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3404026 to the nearest integer?\nAnswer: 1845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, p: 5, k: 5}. What is prob of sequence kkt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*a**2 - 2)*(-2*a**2 - 1 + 1) + 10*a**4 + 6 + 9 - 16 + (-1 - 1 + 3)*(-2*a**4 - a**4 + a**4) + 2*a**3 - 2*a**3 - 2*a**4 + 2*a**4 - 3*a**4 + 0*a**4.\nAnswer: 13*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208 greater than or equal to -56\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1400 and 5145.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 42 - -65a?\nAnswer: 69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 4*l + 4*l + (3*l + 0*l - 6*l)*(-6 + 0 + 1))*(2 + 6*l - 2).\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h - 844 = 214 - 122. Let c(w) = -43*w. Let m(y) = -429*y. Give h*c(z) - 4*m(z).\nAnswer: 39*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, -5, 0.1, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 34*n + 4. Let y(p) = 23*p + 8. Let t(m) = m - 1. Let u(k) = 5*t(k) + y(k). Let l(v) = 4*f(v) - 5*u(v). What is l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10265*y**4 + 496*y**2 + y - 1.\nAnswer: -246360*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r - 1. Let i be (-152)\/474 - r\/(-3). Let s = i - 239\/158. Is 1\/2 >= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**4\/5 + 492*g**3\/5 - 14098*g**2 - 150420*g = 0.\nAnswer: -345, -10, 0, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5))**(-12)\/(v**1)**(-25))\/((v**0)**(-21)*v\/(v**(2\/13)*v)*v\/((v**(-7)*v)\/v)) assuming v is positive.\nAnswer: v**(803\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 116, 144, 166, 188, 216, 256?\nAnswer: 314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 2*n**2 - n**2 + (4 + 2 - 4)*(-2*n**2 + 0*n**2 + n**2) + 3 + n**2 - 3 + 16 - 16 + 13*n**2.\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 328 + -264. What is the remainder when 338 is divided by w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5225381 divided by 5225381?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 + 19 - 20 - c**2 + (0*c - c - c)*(-2*c + 3*c - 3*c))*(2*c - c + 0*c) to the form v*c**3 + g*c + t*c**2 + b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 9 - 18 + 2*c**2 + 9. Let s(q) = -3*q. Calculate w(s(v)).\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -120 divided by -24\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6922 + 10470. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -380 from 434062120149.\nAnswer: 434062120529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -5757.\nAnswer: 13\/1919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 3073527?\nAnswer: 3073534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 82600000 to the nearest 1000000.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/7*k - 2\/7*k**3 + 4\/7*k**2 + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51244 = -6159*l + 4256*l + 118711 - 51969 for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70244)\/476 + 147)\/(2\/6).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence km when two letters picked without replacement from kkdkmdmkmk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*b - u + 27, b = -4*u + 20. Let y(r) = -r**3 + 8*r**2 - 10*r + 24. Let p be y(7). Put b, p, 48 in descending order.\nAnswer: 48, b, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 t when three letters picked without replacement from fffbbfxbtxbfbtxfttb.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 6:01 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 3 - -4 - (20179 - 20132)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1317, 2186, 3055, 3924, 4793?\nAnswer: 5662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + a = 0, -301 = -4*l + 4*a - 277 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 553 = 575 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -3. Let l be (4008\/72 - 37) + 2\/(-3). Put 4, l, b in descending order.\nAnswer: l, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**3 + g**2 - 5*g + 3. Let v be a(1). Solve -6 = 2*t + v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239481784?\nAnswer: 2, 29935223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-65 + 42 - -41) + -1 + (0 - 2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 3*f**2 - f. Calculate h(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -49.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2 = 4*p. Let m(y) be the second derivative of 0 - 1\/6*y**3 - 1\/12*y**4 + 3*y + y**p. Let m(r) = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 8*j**2 - 2*j + 12. Let y be o(8). Let a = 6 + y. Let -1 - 6*h - 1 + 2*h**a + 4 + 2*h**2 = 0. Calculate h.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 54\/(-45)*10\/4. Let g(t) = -4*t**3 + 12*t**2 + 8*t + 6. Let k be g(u). Calculate the highest common factor of 18 and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1539) - -2*(sqrt(1539) - (-1 + sqrt(1539)))) + 1 + 3.\nAnswer: 7 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (-2)\/(-1*2). Let x = -14 - -18. Calculate the greatest common divisor of x and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 353*c - 358*c + 10. Suppose -2*k - k + 447 = 5*b, 0 = 2*b - c*k - 182. What is the highest common factor of b and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35342 = -411*b - 159*b - 9122 for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*n**3 - 7*b**2 + 2*b*n + 2*b + 4*n**3 wrt b?\nAnswer: 4*n**3 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + h + 4. Suppose 7*b - 12 = 4*b + 4*d, 5*b - 2*d - 6 = 0. Suppose 3*k + 9 = -b*k. Calculate q(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qdd when three letters picked without replacement from bqddbbbdbldbllbla.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1443 and 76791.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82 divided by 4.\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 940 by 2.\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**3\/11 + 302*m**2\/11 - 3358*m\/11 + 278 = 0.\nAnswer: 1, 11, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from obobrforoooiibb. What is prob of sequence bi?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3846 + 3862. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222516 = -26192*s + 2631259 + 210689 for s.\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*m**2 + 9*m**3 - 36*m**2 - m**3 + 9*m**3 - 2*m**3 + (23*m - 8*m + 7*m)*(0*m**2 + 3*m**2 - 4*m**2).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 - 6. Let h = 46 - o. Calculate the highest common factor of h and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 6. Let i(f) = 19 + 23 + 24 - 67. Let h(t) = -g(t) - i(t). Give h(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = 8*p + 450. Let q be p\/(-9)*((-1 - 1) + 5). Calculate the highest common divisor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4275?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201436 - 6*m**3 + 201436.\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 7*s)*(2*s + 0*s - s)*(-2*s**3 + 5*s**3 - 6*s**3).\nAnswer: -21*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-12))\/1*(-100)\/(-1125)*-3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064 (base 15) in base 11?\nAnswer: 5162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 35187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1225 is divided by 52.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16414107 to the power of 1\/2, to the nearest integer?\nAnswer: 4051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((sqrt(99) - 2*sqrt(99)) + sqrt(99) - sqrt(99))*-2 - sqrt(99)) + (sqrt(99) - 6*(sqrt(99) - 1*sqrt(99))))*4)\/(-5*sqrt(99)\/(sqrt(33)\/sqrt(3))*-1).\nAnswer: 8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**11\/l*l**41 assuming l is positive.\nAnswer: l**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 27 in decreasing order.\nAnswer: 27, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 66 = -5*a - o, o = -3*a + 40. Let h be (-1 + 0)\/(a\/(-28)). Let t(u) = -u**2 - 3*u + 2. Let k be t(-6). Put h, 5, k in increasing order.\nAnswer: k, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 0.049 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -1)*(-8 + 8 + 3). Suppose 2*z - f*n - 22 = 0, -32 - 5 = -5*z + 3*n. Solve y + 3*y + 2 = 5*h, -z*h = 5*y - 20 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 65 - 32. Calculate the remainder when h is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -38, -43, -48, -53, -58?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-14))\/((-41)\/(3157\/(-33)))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128348071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2. Let r(i) be the third derivative of 0*i + 0*i**3 + 4*i**2 + 0 + 5\/24*i**4. Give y(r(w)).\nAnswer: -50*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -5*b**4\/12 - 29*b**3\/2 + b**2 - 52*b + 2. Give d(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + -4 + 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566 - 559. Let r(o) = o**3 - 7*o**2 - 22. Let d be r(q). Which is greater: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 20. Let g be x(0). Let l = 7 - g. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-1) - (-3)\/(-3). Let s(p) = -p**2 - 8*p - 5. Let r be s(j). What is the first derivative of r*z + 2 + 0*z - 4*z + 3*z wrt z?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 44348027.1 (b) 0 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1264*a**2 - 5*a + 21. Let l(i) = -1263*i**2 + 4*i - 18. Let k(f) = -6*j(f) - 7*l(f). List the prime factors of k(1).\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -16, -20, -16, 2, 40, 104, 200?\n\"Answer: u**3 - 5*u**2 + 2*u - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + 443*o**2 - 29*o - 75. Give p(0).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmnntnmn. Give prob of sequence nt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 3)\/(7\/(-28) + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 19*z**3 + 5*z**2 - 5*z - 9. Let v(s) = -10*s**3 - 3*s**2 + 3*s + 4. Give -3*p(k) - 5*v(k).\nAnswer: -7*k**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 less than or equal to 892?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 184404*j*x**4 + 27*j*x**2 + 1398*j*x + 2 wrt x?\nAnswer: 4425696*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 7) in base 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 1\/3*f**3 + 31 + 2*f - 5\/2*f**2. Calculate d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 (base 9) in base 5?\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.005 in -1, -1292, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1*(3*(-2)\/(-9))\/(-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 - -295. Let g = a + -205. Let b(z) = -2*z + 1. Give b(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 5, -3\/5, 6\/13, 2280 in ascending order.\nAnswer: -3\/5, 6\/13, 5, 7, 2280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (86\/9)\/((848\/36)\/(-106)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 632, 0.2, -3, 0.574, 0.1, 5 in increasing order.\nAnswer: -3, 0.1, 0.2, 0.574, 5, 632","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9221844 in 4, -5\/4, 8?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 15*l**3)*(5*l - 3*l + l)*(-1 - 4 + 4).\nAnswer: -45*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + r - 1. Suppose q + 0 = 7. Suppose 3 = -2*c + 3*s - 2, -5*c + s = -q. Let j(x) = -2*x**2 + 1 + x**2 + 2*x**c. Give a(d) + 2*j(d).\nAnswer: d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16570 + -16570.9. Put 0.3, 1\/4, 2\/5, t in descending order.\nAnswer: 2\/5, 0.3, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b - 14*b - 52 = 2*j, -2*b - 4*j + 16 = 0. Suppose b*y - 264 = 7*y. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12213 and 24426?\nAnswer: 24426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 11 = i. Solve -2*m = 2*d - 14, d = 8*m - 4*m - i for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 9. Suppose -k + x = 2*g, -k = -g + 4 - 0. Suppose k = h - 0*h - 9. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 19*c + 182. Let f be b(25). Solve -154*u - f = -122*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + (sqrt(242) - (0 + sqrt(242) + -1)**2 - sqrt(242)) + 1*sqrt(242)*2)*-6.\nAnswer: -1584*sqrt(2) + 8784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d**5\/2 + 100197*d**4\/2 + 109352*d**3 - 182172*d**2 - 437320*d - 72888 = 0.\nAnswer: -2, -2\/11, 2, 9111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*h**2*n - 167*h**2 + 2*h*n - 2*h + 77295*n wrt h.\nAnswer: -6*h*n - 334*h + 2*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011012022012 (base 3) in base 5?\nAnswer: 3123204030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20020 (base 3) to base 6\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 86554431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 12 in increasing order.\nAnswer: -2, 10, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129785 = -5*o - 3*f, -f + 6*f + 51945 = 2*o. Suppose 143*k - 163*k = -o. Does 59 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.7934 to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -72 (b) 0 (c) 143 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2361, 2363, 2365, 2367, 2369?\n\"Answer: 2*m + 2359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (193\/(-386))\/(0 - (-1)\/(-46)). Let h = t + 49. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**7\/840 - g**6\/72 + g**4\/4 - g**3\/6 + g**2. Let q(c) be the first derivative of w(c). What is the units digit of q(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 619877\/2 or 309939?\nAnswer: 309939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 - -122. Suppose -p = y - 458. Suppose -5*w + w = -y. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73957.1338429 + 2791.2661221. Let y = -76748 + r. Let a = y - 0.4. What is a rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q - 20 = 20*q. Let p(x) = x + 12. Let j be p(-10). Solve -o + q*b = 25, -4*o - j*b = -9*o - 33 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -2. Let s(m) = -m + 2*m - u - 1. Suppose 2*x + 7 + 1 = 0. Give s(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/4)\/(s**3*s))\/(s**0)**(3\/2) assuming s is positive.\nAnswer: s**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19368 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2147856 and 4872.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2 + (1 + sqrt(76))*-3 + -3 + ((sqrt(19) - sqrt(76))*-6 - sqrt(19))*-2)**2.\nAnswer: -14640 - 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((1*4\/(-2))\/(-5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29\/199 or 0?\nAnswer: -29\/199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 400*k**3 + 2*k**2 - 696*k**3 + 135*k**3.\nAnswer: -161*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 367 = 23. Let g = v - -88. Calculate the greatest common factor of g and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 29*j**4*u**3 - 19*j*u**3 + 2*u**3 + 759*u - 3 wrt j.\nAnswer: 116*j**3*u**3 - 19*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-4753)\/1589 - -3). Suppose -5*v = -2*r + k, -v - 8 + 9 = 0. What is the remainder when r is divided by 24?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120 divided by 4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-972)\/10)\/(-1*(-12)\/(-2360)) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.089872, 0.1, -1\/3, 0.5, 7.\nAnswer: -1\/3, 0.089872, 0.1, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86 + 252. Let g = k - 164. Solve 4*d = 2*m + 6, -d = g*m - 4*m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/52 - 126\/(-26). Suppose 4*l + 3*v = -l + 13, -5 = -y*v. Solve 3*h - 2*h = -l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 w when three letters picked without replacement from {b: 12, d: 1, w: 3}?\nAnswer: 9\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/144 and -31\/126?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 3*s**2 - 6*s + 3. Let r = 5 + -2. Suppose -12 = -0*v - r*v. Determine h(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -10*j**2 + 14*j - 14. Let u(f) = 2*f**2 - 3*f + 3. What is -3*p(w) - 14*u(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**3 + s**3 + s**3)*(1829 - 916 - 653*s - 913).\nAnswer: 653*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 23*r**2 - 76*r - 309. Let z be m(-20). Solve -20*g = -z*g + 18 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4304 + 6989. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63672 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*d - 20412 - 138444. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + p + 174, -u - 210 = -6*u + 5*p. Calculate the greatest common divisor of u and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v**3 - 3*v**3 + 0 - 2.\nAnswer: 9*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1908\/1431)\/((-1)\/(-24))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -130 + 175. What is the remainder when r is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 3*l**3 + 9*l**2 + 7*l + 7. Let c(r) = -13*r - 11*r**2 - 8*r**3 + r**3 - 7*r**2 - 4 - 11. Let i(n) = 2*c(n) + 5*z(n). Give i(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12*t + 37. Let i be j(2). Suppose 23*v - 20 = i*v. Solve 0*h = -2*h - q + 4, -3*h + 6 = -v*q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(143)\/(sqrt(99)*-1))**2.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventy-seven fifths of a millennium?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12178*p**2 + 24172*p - 2.\nAnswer: 24356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3604607 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 10:24 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(2\/5))\/l)\/l)**34*(l**0*l)**35 assuming l is positive.\nAnswer: l**(73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 + 5*r**2 + 6. Let h be g(5). Let i be ((-3)\/4)\/(6\/(-16)). Let m = i - h. Which is the closest to -0.1? (a) -2 (b) m (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t**5 - 21*t**4 + 19*t**3 + 134*t**2 - 96*t - 32 = 0.\nAnswer: -4, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 46\/14 - 4*2\/28. Suppose 0 = -5*r + r + u*p - 210, 3*p = -3*r - 168. Let f = 139 + r. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30441 divided by -1.\nAnswer: 30441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -y. Let k(o) = -o**2 - 4*o + 5. Let w be k(-4). Let s be 0 - (5\/6)\/w. Which is bigger: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1028262 by -20162.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*i + 120 = 3*i - 148 + 16 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + -7)*(-1)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 1135*g + 3*g**2 + 101*g**3 - 1135*g - 1. What is the tens digit of a(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (80\/1400)\/((-4)\/10*44\/11)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402386435.\nAnswer: 5, 11, 307, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (0 - -2)*2. Let v = 1.4 - -139.6. Let u = v + -136. Which is the third biggest value? (a) 5\/7 (b) r (c) u (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32\/11*q**3 + 24\/11 - 46\/11*q**2 + 2*q**4 - 32\/11*q = 0. Calculate q.\nAnswer: -2, -1, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 689*x - 691*x = 2 - 28 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 7. Let q = 8 + x. Solve 4*f + 7 + q = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - u = -241, 6*a + 175 = 9*a - 5*u. Suppose 2*k - 5 - 25 = -2*p, -66 = -5*p - 2*k. What is the greatest common factor of a and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((3 - 7 - 2) + (4 - 6))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76476307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181256 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 7*j = -4*j - 40, 2*c + 22 = 2*j. Let w = c + 17. Let n = -2 - -5. What is the remainder when w is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -331, 2\/221, -1\/3, -3, 1, 1\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 4*t + 101 - 97, -4*y + 4*t + 28 = 0. Suppose -9 = -5*d + 1. Suppose -2*j = -d*u - 670, -y*j - 3*u - 512 = -1866. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4) - 38202*(-22)\/176 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44006 (base 7) to base 8\nAnswer: -25346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 3, b: 4, t: 1, r: 1}. Give prob of picking 1 k and 1 b.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.696877616 to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -14*r**2 - 4*r - 3. Let o be x(-1). Let k(w) = -7*w - 12. Let i be k(o). Let b = i + -51. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = -5 - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l\/(l\/l**(-1\/7))))*l)\/(l\/(l*l**4\/l)))\/(((l*(l**(-1\/3)*l)\/l*l*l)\/l)\/l)**(2\/71)*(l**5*l*l**(-2)\/l)**(3\/23) assuming l is positive.\nAnswer: l**(145048\/34293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + 4*sqrt(130)*1)\/(-2*sqrt(70)\/sqrt(7) - sqrt(10)).\nAnswer: -5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-43)\/(-1) + 3 + -2. Let l = u + -26. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 327229?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(((-3)\/1)\/3*-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 567327 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 9 = 3*d - 11, d = -t - 12. Let y = -7 - t. Factor 10\/3*w**3 + y + 14\/3*w**2 + 4\/3*w.\nAnswer: 2*w*(w + 1)*(5*w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 3*h + 18*h + 25 + 33 - 12*h. Let n be y(-6). Solve p + n + 2 = -4*u, 8 = -4*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586501530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**8\/336 + p**6\/30 + p**5\/30 - p**4\/8 - p**3\/3 - 548*p**2. Factor o(q).\nAnswer: -(q - 2)*(q - 1)*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1493667 by 1323.\nAnswer: -1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1924, -1967, -2058, -2215, -2456?\nAnswer: -2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -29330 <= -29315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 819977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8713098899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 15*z + 30. Let w be l(13). Let r = 2.52 - 2.4. Let v = r - 0.42. What is the second biggest value in w, v, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2. Let j(g) = -3*g**2 + 15*g + 13. Calculate j(x(m)).\nAnswer: -12*m**4 + 30*m**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -527 - -1262. Let s = d - 671. Calculate the greatest common factor of 4 and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5*(-20)\/(-36)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -3)\/((-54)\/486*(-207)\/82). Factor -78\/23 - j*y**2 + 2\/23*y**3 + 158\/23*y.\nAnswer: 2*(y - 39)*(y - 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51 + 49. Let v(d) = -3*d**3 - 4*d**2 - 4*d - 2. Calculate v(s).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -290 - -293. Solve l*y + 14 = 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-12)\/(-13) + ((-127008)\/3510)\/21.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3684532798.\nAnswer: 2, 1842266399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + -0.4. Let t = -10\/197 - -10067\/394. Let r = t + -27. Is r greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56*-3\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 676. Let j(v) = -2*v**2. What is j(w(y))?\nAnswer: -8*y**4 + 5408*y**2 - 913952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(189)\/sqrt(7) - sqrt(27))\/sqrt(3))\/(sqrt(3) + sqrt(12)*-2 + sqrt(12) + sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*q = 23*q + 6. Let j(s) = s**3 + 5*s**2 + 10*s + 9. Determine j(q).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0264008 millimeters to kilometers.\nAnswer: 0.0000000264008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s, 6 - 21 = -3*p - s. Let k = -2 + p. Which is the third biggest value? (a) 5 (b) k (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4145.95818 - -4146. What is j rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-483)\/84)\/(-23))\/((-7)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -266.7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 425730691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70.4 - 1.4. Let r = 68.7 - t. What is the nearest to -1 in r, -3, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - 26. Let y be 5 - (v\/(-3))\/4. Which is the second smallest value? (a) -14 (b) 2\/5 (c) y (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.5, 10, -5, -0.9, -2\/5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3\/2, -151081, 7, -0.3, -0.1 in decreasing order.\nAnswer: 7, 3\/2, 1, -0.1, -0.3, -151081","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (45 - ((1 - 6) + 12 - (7 - -10)))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 1 - (-9)\/4. Which is the second biggest value? (a) -1\/9 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 7520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqxx when four letters picked without replacement from {g: 1, x: 8, y: 1, s: 1, q: 4, u: 1}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*k = 291 + 1849 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*g + 2*p - 2, 3*g + 4*p - 31 = 0. Solve -7 = 4*s + g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -73 + 92 + (-13 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 + 8*x**2 - 1347*x + 3917. What is o(3)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -4, -358, 2?\nAnswer: -358","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 21\/(-84) + (-1 - (-89)\/4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 5. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddbi when four letters picked without replacement from {i: 7, b: 1, e: 4, d: 3, q: 3}.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (42 - 85) + (30 - -12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -11*i. Let m(h) be the third derivative of h**5\/30 + 48*h**2 - 2*h. Calculate s(m(p)).\nAnswer: -22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 + 93 = 3*t. Suppose -32*x + 39*x = 1967. What is the tens digit of x\/9 - 14\/t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -23, 2\/9, -3\/7 in increasing order.\nAnswer: -23, -3\/7, 2\/9, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*g + 1288*g + 76895 = 15069 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2 = -3*g, 2*a - g = -4. Let s(w) = -w**3 - 5*w**2 + 4. What is s(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -36*p**2. Suppose s + 25 = 3*n, -2*n = -3*n - 5*s + 35. Suppose -4*m - m = -n. Let o(l) = l**m - l**2 - l**2. Calculate b(o(u)).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1735, -6, -4, 5.\nAnswer: -6, -4, 4, 5, 1735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000501 rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1. Let r(w) = -6*w + 8. Let k be 4 - 1 - (8 - -1). Give k*p(q) + r(q).\nAnswer: -6*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djys when four letters picked without replacement from yyudbjsd.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-30744)\/(-12672) - (-1)\/(-16))\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 + 22107*j**2 - 366440085*j - 3299751675.\nAnswer: -(j - 33165)**2*(j + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1111 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4460064 is divided by 3686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u**4 + u**4 - 2*u**4)*(8*u + 0*u - 2*u) + 4*u - 3*u**5 - 4*u - 14*u**4)*(56 - 77 - 81).\nAnswer: -918*u**5 + 1428*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*h = -1051, -k + h + 212 = -2*k. Let t = k + 374. Calculate the highest common factor of 22 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.642023 to 2 dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243506468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/216 and -113\/10668.\nAnswer: 192024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-78))\/((-28)\/(-42)). Let w = -0.01 + -0.39. Which is the smallest value? (a) z (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/24 - d**5\/2 + 355*d**4\/8 + 1105*d**3\/3 - 3782*d**2 + 3*d. Factor l(a).\nAnswer: -5*(a - 13)*(a + 2)*(a + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - -7 - (117 - 39).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 47 + 48 - 6*n**2 - 95.\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14402413 - -30?\nAnswer: 14402443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3844\/7*z - 4\/7*z**3 - 248\/7*z**2.\nAnswer: -4*z*(z + 31)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123 + -123 + (1 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*r - 635*r + 2128 - 2128 - 178*r as f + t*r and give t.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) -22 (c) -51219\/41 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12140 - 0?\nAnswer: -12140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 416?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12069 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 673 divide 7484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from {o: 2, j: 6}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-9)\/(-27)*-21 + 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005 is divided by 1029.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 - 3*a - 3. Suppose -3*c = 5*d + 30, 2*d = 6*d - 4*c + 24. Let k be (9\/d)\/(1\/(-2)). Determine j(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 - -4. Let l = 0.08 - -1.42. Let m = -1.2 + l. Which is the nearest to 0.1? (a) 1\/4 (b) m (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + 56\/(-102). Let u = -0.45 - -0.05. Let n = -2.4 - u. Which is the third biggest value? (a) 2\/7 (b) l (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5376 divided by -32?\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11139.\nAnswer: 3, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1909, -6518, -11123, -15724, -20321?\n\"Answer: 2*t**2 - 4615*t + 2704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 305 = 141*p - 3357 - 4 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -30*p**2 - 809*p + 148. What is h(-27)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -268.06 + 269. Let f = 0.9400118 - r. Round f to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1440 = -100. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microsecond in nanoseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 32284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 1. Let r(o) = -22*o**3 - 2*o**2 + 6*o + 1. Determine 6*a(w) + r(w).\nAnswer: -22*w**3 - 2*w**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*m**3 + 18869 + m**2 - 18869.\nAnswer: 101*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 137?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 0*l + 57 + 13 + 2*l. Let h be u(0). Let q(r) = 3*r**2 + 1. Let d be q(3). What is the greatest common divisor of d and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a - 2*a)*((-3 + 6 - 1)*(2 + 1 - 5) - 3 + 6 + 3) + 0*a + 2*a + 0*a.\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 5\/4, -3, 0 in decreasing order.\nAnswer: 5\/4, 0, -4\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dewe when four letters picked without replacement from {w: 7, d: 2, e: 4}?\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 3. Let o be s(0). Suppose -4*x + y = -26, -x - 1 = -o*y - 2. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (10\/12*-2)\/((-10)\/120). Let k be (-8)\/m + 356\/(-10). Let y = -35 - k. Are y and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o\/(o\/(o**(-8)*o)))**(5\/3)*(o\/(o*o*o**(-1)))**(2\/41)\/(((o*o*o*o*o\/(o\/o**6)*o*o)\/o)\/(o*o\/((o**(-1\/3)*o*o)\/o*o))) assuming o is positive.\nAnswer: o**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3678*l + 11116. Give h(3).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38326294 divided by 6.\nAnswer: -19163147\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**3 + b**2 - b. Let q(t) = 2*t - 3. Let g be (32\/(-12))\/(2\/(-3)). Let z be q(g). Suppose 2*d = 3*o - 3*d - 18, -14 = -z*o + 3*d. Give u(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7)\/(((z**(-7)*z*z)\/z)\/z*z*z))**(8\/11) assuming z is positive.\nAnswer: z**(-16\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 46*g = 48*g + 44, 5*f - 4*g = 115. Solve 0 = 24*p + f*p - 153 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 2565*l**3 - 2565*l**3 + 5119*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16? (a) 2 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 50 - 34. Suppose 1 = -3*i - y + 8, 2*i - 5*y = a. What are the prime factors of -4 + (i - (-32 + 0))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95748 is divided by 509?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -94*f - 1. Let y be s(-1). Suppose -5*q - 6 = m, -3*q + y = -6*m + 2*m. Calculate the remainder when 15\/35 + (-1314)\/m is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.287 - -0.013. What is the smallest value in -0.1, k, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115\/22 at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -30566.\nAnswer: -7\/30566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -88 + 90. Let q(s) = s**3 + 5*s**2 - 6*s - 3. Let p be q(-6). Let j be 6\/9*(-9)\/6 + 0. Put p, j, g in increasing order.\nAnswer: p, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(294)\/sqrt(7)*-6)\/sqrt(6) + -1 + 4 + sqrt(7) + -2)**2)*3.\nAnswer: -30*sqrt(7) + 537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 36 + -26. Solve -4*l + 6 = x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 6:27 AM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 287 - 283.01. Let l = s - -0.01. Which is the closest to -2? (a) -4 (b) 0.4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r + 2*r)*(-200*r - 202*r + 400*r - 190).\nAnswer: -2*r**2 - 190*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43811?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -817*q - 12*q - 734*q + 238*q + 63*q as o + h*q and give h.\nAnswer: -1262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5)*1 + -5)**2.\nAnswer: -20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 201 + 201 - 25882*j**2 - 4*j + 25884*j**2.\nAnswer: 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2821272 is divided by 2152?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(-51) - (-13)\/110*1. Let q = -1\/66 - z. Factor -3\/5*f - 2\/5*f**2 + 3\/5*f**4 + q*f**5 - 1\/5 + 2\/5*f**3.\nAnswer: (f - 1)*(f + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*1\/2)\/((-2)\/4). Suppose -3 - 3 = -2*m. Suppose 5*v - 74 = -3*r, -m*v = -3*r + x - 32. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 2)\/(11\/22). Suppose -4*t + 5 = u, -1 = -m*t - 3*u + 14. Suppose -2 = -j - 1. Is t less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20432 (base 6) in base 9?\nAnswer: 3702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5\/2 (b) -165.5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27655 + 138996\/5. Let j = n - 143. What is the smallest value in 0, 3, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*t - 13 = 0, a + 3 = -1063*t + 1062*t for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 13) to base 7.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + 5*z - 35. Suppose -20 = -8*y + 4*y. Suppose 5*f - y*x - 11 - 34 = 0, -4*f + x + 39 = 0. Solve -j = -3*m - 10, -z*j + 3*j = 3*m - f for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4\/7 of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 11*g + 3. Let f(r) = -18*r - 7. What is 2*f(w) + 5*k(w)?\nAnswer: 19*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -13675.16878 to the nearest 10.\nAnswer: -13680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.088554 grams to tonnes.\nAnswer: 0.000005088554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -14) + 3 + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 5*k + 3, 2*k - 521*t + 518*t = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 6 + 3. Let d(q) = -m*q - 1 + 2*q + 1 + 1. Is d(-2) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 30670320\nAnswer: -30670319.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -20287 (base 15) to base 12\nAnswer: -4ab17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1254 - 1254.2. Suppose u = 1 - 0, 2*z - 11 = -3*u. Let k = -7\/5 + 31\/15. Which is the closest to r? (a) k (b) 2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222355346631 - -7.\nAnswer: 222355346638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 626 - 2*s**2 - 18*s + 0*s + 3*s**2 - 390*s**5 - 586 wrt s?\nAnswer: -7800*s**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0, 55, 41, 7 in decreasing order.\nAnswer: 55, 41, 7, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -s + 10. Let g = 0 + s. Let r be (g\/(-12))\/4*0. Solve -2*u + r*u = 10 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 + 13*g - 15. Let t be c(12). Let v be (1\/t)\/(2\/(-36)). Solve 12 = -v*z + 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66.3 + 9.3. Let v = -55 - h. What is the closest to v in -4, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/132 and -47\/31274217.\nAnswer: 1376065548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/25 + 24955\/(-12075).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61909499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 2 + 1)*(4*g + g - 3*g) + (2 - 1 + 2)*(-2*g - g + 2*g) - 6*g + g + 3*g as i + h*g and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**9\/7560 + z**7\/315 + z**4\/2 - 2*z. Let y(s) be the third derivative of b(s). What is the third derivative of y(o) wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-2\/5)*z*z**(-7)*z*z\/z**0*z*z*z*z**(1\/4)*z)**(-2\/179) assuming z is positive.\nAnswer: z**(-37\/1790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -272*a - 8. Let u(o) = 3*o. Give d(u(x)).\nAnswer: -816*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66\/685 + -11767\/4110. What is the common denominator of f and 53\/40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q**2 - 2*q**2 + 2*q**2 + (3*q + 6 - 6)*(0*q + 3*q - 5*q) - 8*q**2 - 19*q**2 - q**2 to the form o + c*q**2 + b*q and give c.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i + 0*i + 20*i**3 - i.\nAnswer: 20*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -28*b**3 - 10*b - 6. Let p be ((-18)\/(-12))\/(2\/(-4)). Let o(v) = 9*v**3 + 3*v + 2. Let m(t) = p*a(t) - 10*o(t). What is m(-2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 14, i: 1, m: 3, r: 1, f: 1}. What is prob of sequence yr?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 7. Let j(t) be the second derivative of t**5\/20 - t**4\/3 - t**3\/2 + 13*t**2\/2 + 13*t. What is the remainder when p is divided by j(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 219 and 64386?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2121 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 66259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from aagkggggbgkb.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k**3 - 5*k**2 + 11*k - 18. Determine f(4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*p**2 + 12*p**2 + 16*p**2.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -13, 11, 55, 125?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4*q - 2*l**4 + 37717597*l**3 - 550614*l**2*q - 5*l*q - l wrt l.\nAnswer: -48*l*q - 48*l + 226305582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1996 is divided by 50.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3043843 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let h(i) be the first derivative of i**6\/90 - 4*i**3\/3 - 3. Let z(r) be the third derivative of h(r). Calculate l(z(a)).\nAnswer: 32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(1*sqrt(400)))**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 61623.58 millilitres in litres?\nAnswer: 61.62358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 11*t**2 + 10*t + 1. Let v be i(10). Let x be v - (2 - (3\/1 + 1)). Factor -20*m**x - 7*m**4 + 23*m**3 + 16*m**4.\nAnswer: 3*m**3*(3*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0284662 and 0.0945.\nAnswer: 0.0660338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.2 + -0.2. Let q be (-1)\/4 - (-34)\/8. Let g be q\/14 + (-144)\/1092. What is the second biggest value in g, -2\/9, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*t = -l - 10, 0 = 3*l - 2*t - 30. Let d be ((-12)\/(-10))\/(3\/l). Solve -8 = d*x - 0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of j**3\/3 - 4*j**2 + 13*j + 23. Let l be z(4). Is -3 != l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.16 - 0.26. Let x = -0.01 - 0.29. Which is the smallest value? (a) w (b) x (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -17*m + 35*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**4\/2 - 6241*p**3\/4 - 324636*p**2 - 22529728*p - 2249728.\nAnswer: -(p + 208)**3*(10*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 427833349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45753107?\nAnswer: 45753107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h - 3*h + 0*h)*(h**3 + h**3 - 4*h**3 + (h**2 + 7*h**2 - 4*h**2)*(-1 + 1 + h)).\nAnswer: -14*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 13*a**3 - 2*a**2 - 4*a + 3. Let v(u) = -u + 7. Let p be v(4). Let w be x(p). Suppose -3*j + w = -j + 2*z, 4*j - 4*z - 640 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 3*w + 5*u, 0 = -5*w + 2*u + 14. Suppose 13*h - 24 - 14 = -12. Solve 5*l - h = 4*v, -l + w = -4*v - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1423333 (base 5) in base 12?\nAnswer: 1532b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13641 + -12?\nAnswer: 13626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583564 - 17855*k - 12604*k + 583568.\nAnswer: -30459*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j + c - 0, 48 = 4*j - 5*c. Let g(p) = -p**3 + 3*p**2 + 4*p + 1. Let y be g(4). Put -2, j, y in descending order.\nAnswer: j, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {m: 2, f: 4, t: 3, h: 2, x: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42239 or 1\/13?\nAnswer: -42239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -127643a (base 12) to base 3.\nAnswer: -20211220212001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a factor of 2355266712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6367 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + -5 - (111 + -101)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 6*r - 506. Let u = r - 27. Calculate the remainder when (-3036)\/(-42) - (-4)\/(-14) is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = n - 3*k, -2*k + 0*k + 1 = n. Suppose -5*j + 5*t = 35, -29*j - 4*t = -26*j - 42. Solve -s - 2*s - 7 = j*i, -i - 11 = n*s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20465 is divided by 5100?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10278 + 1642*u**3 - 10017 + 1940 + 4668 + 867*u**3 wrt u.\nAnswer: 7527*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.419 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 402504 times -7?\nAnswer: -2817528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*k = -15, -4*k - 123 = -a - 108 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8401347 to the power of 1\/2, to the nearest integer?\nAnswer: 2899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 10 = 5*k. Suppose 0*r - 8 = -k*r. Suppose -r*a - 3*c - 8 = 0, 3*c + 5 = -7. Solve l = a - 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-12) - 1) + 6575\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q\/(q**(-1\/13)\/q))*q)**37*(q**(1\/14)\/q*q*q)\/(q**(1\/5)*q))**(4\/21) assuming q is positive.\nAnswer: q**(-72754\/9555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:39 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 17495347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/434, -24, -2\/9, 194 in increasing order.\nAnswer: -24, -2\/9, 1\/434, 3, 194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 151191292 to the power of 1\/3, to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a - 50*a = 580. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 889594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + v - 2 = 0. Let u(j) = j**2 + v + 9*j - 3 - 8*j. Determine u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 5. Let m(s) = -8*s + 1. Let y be m(-1). Suppose -y = -11*u + 90. Suppose u*b - 1 = -37. Let a(d) = 5*d + 6. Determine b*g(r) - 3*a(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**20)*x**17)**(8\/19) assuming x is positive.\nAnswer: x**(296\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5992640 and -91\/512.\nAnswer: 47941120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*m**2 - 798 + 798)*(55*m**2 + 352 - 352) + 0*m**4 + m**4 + m**4 in the form i*m**3 + l + z*m**4 + w*m**2 + r*m and give z.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*o**3 + 53*o**3 - 12*o**2 - 6*o**2 + 18*o**2.\nAnswer: 73*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 261 a factor of 179754358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 87*y - 111 = 101 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + 3)*(7\/(-14) + 1). Solve -d - d + m = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 871063\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, 19, -5, 1\/3, 232.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2106854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.118 + -8.718. Which is the nearest to -2? (a) -6 (b) -5 (c) 5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -137 + 139. Sort f, -76, -2 in descending order.\nAnswer: f, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -3*q + 2*x, -2*q = -0*x - x + 39. Does 17 divide 213 - (-5)\/((-35)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 divided by 139?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -168 + 171. Solve 3 = -p*s - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 22*g - 70. Let p be h(-8). Suppose 2*a + 50 + 32 = 0. Let o = a + p. Solve -4*u + 2*r = 0, -o + 13 = -4*u - 4*r for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4165, 7414, 10663, 13912?\n\"Answer: 3249*m + 916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 11, 5*g = 35*z + 102 - 47 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2610?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -31*x**7\/210 - 5*x**3\/2 - 16*x**2 - 32. Let i(m) be the second derivative of a(m). Differentiate i(p) wrt p.\nAnswer: -124*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*k + 108*k - 54*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 39 = 7*x. Find the second derivative of -49 - 2*u**4 + 21 - 58*u + 28 - x*u**3 wrt u.\nAnswer: -24*u**2 - 18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -345630 rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46058078 and 1474.\nAnswer: 1474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -90964 divided by 8427?\nAnswer: -90964\/8427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/15*-42)\/(2\/109). Suppose 3*p - 8*n + 10*n = m, p + 4*n = 261. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3196\/50 - (((-17612)\/(-175))\/17 + -6)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 3*g = -42, -4*m = -21077302*g + 21077307*g + 64 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/28)\/((-6)\/336)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2079 - -3051. Suppose 5*b - 25543 = j. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2411175035 to the nearest integer?\nAnswer: 49104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 404*f + 1233. Let t be j(-3). Calculate the highest common divisor of 51 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/(-7) - 8\/(-28). Let f(k) = -1 - z*k + 3*k - 2*k - 2*k. Suppose 0 = 5*r + 2 + 3. What is f(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*u**5 - 26669781*u**4 - 653616942*u**2?\nAnswer: -360*u**2 - 640074744*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*2\/((-8)\/10). Suppose s*c - 46 = 3*c. What is the remainder when c is divided by 493\/(-87) - -9 - (-5)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198*d**2 - 187*d**2 + 994*d**2 - 200*d**2 - 208*d**2 - 204*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -1261*b**5\/20 - 121*b**3\/3 - 3*b**2\/2 + 91*b - 2. Find the second derivative of x(n) wrt n.\nAnswer: -7566*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1205496*x**3 + 408*x**2 - x - 1091?\nAnswer: 7232976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -38*b - 266. Let u be r(-7). Put 23, 1, u, -3 in decreasing order.\nAnswer: 23, 1, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.007 - 1742\nAnswer: -1744.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -152, -313, -476, -641, -808, -977?\n\"Answer: -s**2 - 158*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = 0. Let j(i) = 2*i - 6. Let n be j(c). Let r(y) = -y**2 - 10*y. What is the least common multiple of 12 and r(n)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-300)\/(-90))\/(108\/144*2\/(-9))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -460 less than -0.104?\nAnswer: 459.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 - 49292*x + 98578*x - 49286*x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2 + 3. Suppose -f - 3 = 0, -4*a - 2*f = -7*a - 18. Let z(l) = 14*l**2 - 8. Determine a*x(u) - 3*z(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2846 - -2861. Solve 18*o = a - 105 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-6*(sqrt(425) - (4 + sqrt(425))*-5) + 4)*5 + 1 + 1)**2.\nAnswer: 1044000*sqrt(17) + 14106400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16623 (base 7) to base 10.\nAnswer: -4770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = z + 97 + 57, -2*m - 4*z = -126. Solve 3*y - m + 32 = 4*h, -6 = -2*y for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 381326152 to the power of 1\/2, to the nearest integer?\nAnswer: 19528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/5)\/(3\/135). Let t = y - -21. Put 0, t, -16 in decreasing order.\nAnswer: t, 0, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1328 and 65072.\nAnswer: 65072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9086957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 106611, 106610, 106609, 106608, 106607, 106606?\nAnswer: 106605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvttvtvtv. What is prob of picking 4 t?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2 + 10. Let u be (-2)\/j*(-21)\/56. Which is smaller: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((4*(sqrt(99) + sqrt(99)*-5))\/(sqrt(81)*-1) + 0)*-5)**2.\nAnswer: 281600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179457254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55257303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*a - 69 = -366*a - 3*s, -a + 3*s = 21 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 123.45 + -125. Let m = d + -1.45. Let x = -97 + 481\/5. Which is the closest to m? (a) 4 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 68*q**4 - 37272*q**3 + 5054404*q**2 - 24921120*q + 2862000 = 0.\nAnswer: 2\/17, 5, 225, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/181534 and -61\/5?\nAnswer: 907670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3424 + 3215 = -19*p for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/12)\/(4\/6). Suppose 3*d = 5*f - 6, -32*f + 33*f + 3*d = -24. What is the closest to s in -0.14, f, 0?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529538.\nAnswer: 2, 264769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 323312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-186)\/38 - (-10)\/(-2 - -4).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -30.1. Which is the nearest to -2? (a) 0.5 (b) -4 (c) -0.4 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 15*m**2 + m**3 + 13*m + 5 + 0*m**3 - 17. Let g be z(-14). What is the first derivative of 6*p - g*p - 8*p - 20 wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -16 - 13*h + 16 + (-2 - 35 - 3)*((-2 - 5 + 5)*(-h + 3*h - 3*h) - h - 2 + 2 + 0 - 2*h + 0).\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiq when three letters picked without replacement from {q: 1, i: 1, h: 9}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 54. Suppose s*q - 2*c = -0*c + 13, -2*q + 2*c = -10. Suppose -4*x = 5*a - 360, 4*a - 89 = -x + q. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106863 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -79194 + 144854. List the prime factors of 8\/(-52) - r\/(-65).\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Let p(m) = -10*m + 11. Determine -5*b(g) + p(g).\nAnswer: -5*g + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - 2 - 1 - (33 + 31 - 51).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 7. Let x be r(3). Suppose 0 = x*z + 5*z - 203. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - 3 - -5)*(-38)\/(-4). List the prime factors of (-2 - (-3208)\/4) + (-19)\/l.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, e: 1, d: 2, z: 10, s: 1, f: 1}. What is prob of sequence efq?\nAnswer: 1\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.9 + -3.22. Let b = g + 4.5. Round b to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1831500 = 17*u - 135*u + 7*u. Calculate the greatest common factor of u and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3830 = 4*n, 2*n + 5*y + 672 = 2572. What is the highest common factor of n and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 11, -3, 8 in increasing order.\nAnswer: -3, 5, 8, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**2 - 98*n**4 + 98*n**4 - n**5 wrt n?\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -130439\nAnswer: 52175.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 1:23 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1, -3, 2, 67.\nAnswer: -3, 1, 2, 40, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 13 + -6 - (3 - -7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -u + 69. Let z = u - 11. What is the remainder when 35 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)*y**1)\/(y**1)**(-1\/12))**6 assuming y is positive.\nAnswer: y**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/((-1050)\/(-20)))\/((-36)\/(-10)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_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: Factor -2*p**2 - 328*p - 8646.\nAnswer: -2*(p + 33)*(p + 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5714\/3 + 1883. Let o = -22 - m. Let n = 9 - 14. Sort -4, o, n in increasing order.\nAnswer: n, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179.2263715645 + 0.016.\nAnswer: 179.2423715645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38157 and 731906?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)\/(3*1*sqrt(10)) - 2*(sqrt(950)*-2)\/sqrt(2))**2*-4.\nAnswer: -255664\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 296, 231, 166, 101, 36?\n\"Answer: -65*n + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (440\/176 + 0 + -2)\/(5\/(-14))\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2896 is divided by 861?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -30*b**2 + 2*b - 2. Let t(w) be the third derivative of w**5\/60 - w**4\/24 + w**3\/6 + 884*w**2. Determine g(l) + 2*t(l).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m + 2*m + 3*m)*(463 + 714 + 448) in the form g + l*m and give l.\nAnswer: 1625","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 7*x**2 - 4*x**2)*(4*x + 0*x - 2*x - 5 + 5 + x + (3 + 2*x - 3)*(2 - 1 - 2))*((-3 + 3 + 2)*(-x - 1 + 1) - 1 + x + 1).\nAnswer: -6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2 - (2 + 1 + sqrt(2) - (sqrt(2) + (sqrt(88)\/sqrt(4))\/sqrt(11) + sqrt(2))**2))*3.\nAnswer: -75*sqrt(2) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l - 9. Let h be v(4). Sort 1, h, -3 in ascending order.\nAnswer: -3, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 227\/71400 and 17\/5250?\nAnswer: 357000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497808 is divided by 213971?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 179, 136, 107, 98, 115?\n\"Answer: j**3 + j**2 - 53*j + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (3 - -1) - 0) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 6*n + 9. Let f be (18\/8)\/(4\/16). Calculate the highest common factor of f and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - b**2 - b - 1. Let m be t(-4). Find y, given that -11 + 1 - y**2 + m*y - 8 - 14*y**2 = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49101046.\nAnswer: 2, 24550523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4\/434*(-1 + 8) - (-30586)\/(-1271)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10401799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 1, -0.2, 59 in descending order.\nAnswer: 59, 1, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 128?\nAnswer: 2176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 3*j - 3. Let h be l(3). Let m = 13 - 11.5. Let y = 1.3 - m. Which is the nearest to y? (a) -2 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 86c?\nAnswer: 86b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 + 68*b**2 + 320*b + 336.\nAnswer: -4*(b - 21)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z = 62 - 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -2860*p**3\/3 - 6. Let z(t) = 26*t**2. Let a(d) = -6*y(d) - 663*z(d). Let u(r) = -2*r**2. What is u(a(s))?\nAnswer: -12168*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6310*h**2 + 70*h - 70*h.\nAnswer: -6310*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:01 AM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -20*p + 0*p**2 + 1\/3*p**3 - 10. Let i(w) be the first derivative of f(w). What is i(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.074 in -176, -0.4, 53?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-6))\/((-2)\/(-6)). Suppose -5*b - 2*m = -c, 2*m - 12 = b - 5*b. Suppose b*o = -4*g + 20, -o + 2*g = -6*o + 34. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 10*u + u - u in the form y + m*u and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 177697657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010878 rounded to 4 decimal places?\nAnswer: 0.0109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 4*d + 4. Let s(g) = -g**3 - 4*g**2 - 19*g + 22. What is -11*f(c) + 2*s(c)?\nAnswer: -2*c**3 + 3*c**2 + 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 2420.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -46 in 103, 1\/11, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-4)\/(-40)*5. Let j(p) = -p**3 - p**2 + p. Let v be j(z). Find the second derivative of v*a + a - 5*a**5 + 2*a wrt a.\nAnswer: -100*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 divided by 2?\nAnswer: -269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244 - -33915\/139. What is the nearest to 1 in g, 10, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7 and 9052141?\nAnswer: 9052141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -1589\/286 and -6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3923 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 28*r - 26. Calculate u(-14).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -705450142.449 - 0.96?\nAnswer: -705450143.409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3752? (a) -11 (b) 2 (c) -0.03 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10322 is divided by 858.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7146 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: Simplify ((sqrt(30) - (sqrt(30) + sqrt(180)\/(sqrt(18)\/sqrt(3))))*6)\/((sqrt(10) - 3*(sqrt(10)*-1 + sqrt(10)))*2).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y - 8 = 0. Let o(v) = -120*v**3 - 3*v**2 - 5*v - 5. Is o(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11.4 - -16.5. Let s = f + -4.6. What is the second smallest value in 0.4, s, 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**4\/3 - 22375*q**3 + 358147*q**2 + 12421253*q\/3 + 3759896 = 0.\nAnswer: -67141, -7, -1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10102 + -10101. Which is the nearest to 4? (a) w (b) 190 (c) 3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -5\/457864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 12, 24, -20, -83 in descending order.\nAnswer: 24, 12, -3, -5, -20, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -815 (base 11) to base 13.\nAnswer: -5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*z + 61 = -48, 5*z - 395 = -5*t. Is t a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37568009?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a century in months?\nAnswer: 16080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 89?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 98, 352, 752, 1280, 1918, 2648?\n\"Answer: -3*x**3 + 91*x**2 + 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 45 = -3*p - 6*o, 4*p - 99*o = -101*o - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Let a = 10 - 6. Suppose 0 = 3*n - 5*d - 35, 0 = a*n - 6*d + 3*d - 32. What is the remainder when n is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 5*g**3\/3 - 23*g**2\/2 - 14*g + 3. Let s be b(3). Solve 2*z - 2 = -3*p + z, 3*p - s = -2*z for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1012*m - 1097*m + 765. Solve 0 = -16*h + m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001056 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*p**3 + 13*p**3 + 9*p**3 + (-2*p - 2*p + 3*p)*(0*p**2 + 7*p - 8*p + 2 + 2*p**2) as o*p**3 + s + i*p**2 + a*p and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -10 - 4\/(16\/(-12)) - -3. Find the common denominator of 0 - ((-10)\/18 - 2) and (f - (-19)\/7)*(-7)\/(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 19842*o**2 - 34612512*o - 5880658080.\nAnswer: -3*(o + 190)*(o + 3212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1186067?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 0, 2*c - 6 = -2*i - 0*c. Suppose -4*u + 2*d + 9 + 13 = 0, i*d = u - 13. Let l be (4\/(-8))\/((-1)\/u). What is the third biggest value in -2, l, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 242952213 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/250 and 41\/70.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 8 - 0) + -63 + (37 - -29)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 divided by -12?\nAnswer: 25\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*20*13\/195*6\/(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833)*1 + -4)**2.\nAnswer: -56*sqrt(17) + 849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 8*n**5\/5 + 8*n**2 - 4. Find the second derivative of g(x) wrt x.\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-962)\/(-4) - 6\/(-12) a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**7\/280 - q**6\/180 + q**3\/3 + 4. Let m(o) be the third derivative of r(o). What is the third derivative of m(s) wrt s?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -38543 and -0.095.\nAnswer: 3661.585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 36*w**2 + 188*w - 13*w**2 - 278*w**3 - 20*w**2 + 279*w**3 as m*w**2 + y*w + s*w**3 + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p**2 - 3*p + 4. What is the tens digit of b(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 21 = c, -c = -6*c - 4*u - 11 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1629488 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5277052 at least -5277053?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 13*f + 22 = -17*f, -2*b = -409*f + 416*f + 31 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 29930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 138*x**3 - 65*x**3 + 5*x**2 + x**4 - 70*x**3 - 1 to the form u*x**4 + w*x + j*x**2 + h*x**3 + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jcj when three letters picked without replacement from {j: 2, c: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 21*h**2 + 1490*h - 31364. What is w(21)?\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 944 * -16.\nAnswer: -15104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4662.7904 + -4666. Let f = -3.22159728 - u. Let y = -0.012 - f. Round y to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-237 - -231)*(-3)\/(81\/10).\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7*-4 - (-272250)\/(-2310).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -147904*w + 147919*w + 270 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76))**2*4.\nAnswer: -16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 7:25 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 170?\nAnswer: 170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 5\/(-15)*(488\/(-4) + -1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 64*m - 276. Let h be y(-5). Solve -7*k = -3*k - u + 8, 0 = -k - 5*u + h for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1766, 1760, 1744, 1712, 1658, 1576?\n\"Answer: -g**3 + g**2 - 2*g + 1768","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttt. What is prob of picking 2 t?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 15*u**2 - 14*u + 18. List the prime factors of i(16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -p - 6, p + g - 10 = 5*g. Find the third derivative of 7*a**4 + a**p - 8*a**2 - 4*a**4 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(208) + 0 - sqrt(208)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3654*z**2 - 231*z + 231. Let u(l) be the third derivative of -21*l**5\/20 + l**4\/6 - 2*l**3\/3 - 643*l**2 + l. What is 4*d(b) + 231*u(b)?\nAnswer: 63*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 129*x - 158*x + 841. Calculate the greatest common divisor of 62147 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**7\/14 + 3*f**6\/10 + 3*f**5\/20 - 7*f**4\/4 + 6*f**2 - 4*f. Solve c(j) = 0 for j.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13581233 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: Calculate (11\/18)\/(115576\/(-130023)).\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 120 + (1 - 1) + 0. Suppose -4*h - h = -l. What is the greatest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22 + -2)\/((-3)\/12). Calculate the greatest common divisor of n and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2\/(-108)*-12.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 53 = 55. Calculate the common denominator of 21\/20 and (3*318\/324)\/w.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3020 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-9) + (-149186881860)\/1674. What is b rounded to the nearest 1000000?\nAnswer: -89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1494\/180 - 8)*10 + (-64)\/2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.04 - -0.04. Let g = 48.99 - 49.29. Let t = 1325\/7 - 189. What is the second smallest value in o, t, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 29 + 9. Let v = 37 - 34. Suppose g = -m + v*m. List the prime factors of m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 3*h**2 - 2*h + 377. Does 46 divide x(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 9:41 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 10\/7*t**2 + 2\/7*t**3 - 24\/7 - 16\/7*t = 0. Calculate t.\nAnswer: -6, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.42 - -11.88. Let n = t + -15.299999874. Round n to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + (sqrt(3) + sqrt(147) + 2 - (sqrt(3) + 5*sqrt(3)*3))))**2.\nAnswer: 128*sqrt(3) + 784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2764235297 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1985 + 2062. What is the greatest common factor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -243.33 + 246. Round x to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 116890000 to the nearest one million.\nAnswer: 117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-6)*(6\/1)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 7*z + 30, 4*j - 20 = -2*z + 5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/139 + 266\/417. What is the nearest to -4 in 1, t, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330 is divided by 117?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -140, -310, -548?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3374, -6732, -10092, -13454?\n\"Answer: -s**2 - 3355*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 73 - 72. Let c = -1.6 - -7.6. Let l = c + -1. What is the closest to d in l, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u - 8. Let h be x(6). Is 1\/h*(316 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(0 + 1) - 0. Let g(x) = 70*x + x**2 + 56*x + 52*x + 5 - 164*x. Let z be g(l). Solve -z + 3 = -h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 8 = q - 5*h, -3*h + 15 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**3 - b**3 - 14 + 14 - 8*b**2 + 7*b. Let i be u(7). Suppose r + n + 628 = i, 2*r = r - 3*n - 624. Round r to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -540 - -353. Let y = -178 - v. Solve 0 = -x - 14 + y for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68347001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -6 - 0. Let f be 6*3 + 5 + j. Suppose -o + 16 + 1 = 3*l, -4*o - 7 = -3*l. Solve l*z = 3*w + f, 3*w - w = z - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -3*p + o - 0*o, 0 = -3*p + 4*o - 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 84*b + 594. Let y be w(-79). What is the greatest common divisor of 69 and y?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4171 or 4174?\nAnswer: 4174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b**2 - 2*b - 5. Let t(m) = m**3 + 8*m**2 + 3*m + 20. Let f be t(-8). Let u(a) = 2*a - 3*a + 2*a**2 - a**2 - 1. What is f*u(z) + o(z)?\nAnswer: 2*z**2 + 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 1. Let w(a) = -8*a - 7. Let k(u) = 2*u**2 - 7*u - 6. Let b be k(6). Suppose 5*d - 1 = -z + 5, -4*z = -2*d - b. Give z*h(y) + w(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -28 + 28 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/86 and -123\/12940.\nAnswer: 556420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = 4*x + 3*l, -5*x + 457 - 162 = -l. Let m = 98 - x. Suppose -3*s = s - m. Calculate the least common multiple of 18 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.143 to one dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1251, -1254, -1257, -1260, -1263, -1266?\n\"Answer: -3*t - 1248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7*t = 0. Solve 2*f - 25 = -3*f - 3*i, 3*f + 2*i - 16 = t for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/2)\/(18\/24))\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 - r**2 - 3. Let c(v) = v + 15. Let a be c(-9). Let x = -7 + a. Let d(k) = -1. Suppose 0 = 4*s - s - 15. Give s*d(p) + x*g(p).\nAnswer: -p**3 + p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 61. Let y = -3930 + 3930. What is z(y)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) + (sqrt(425) - (sqrt(425) + (sqrt(425)*-3)**2)) + 3 - (3*sqrt(1700) + -5).\nAnswer: -3817 - 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(1056\/2354) - 25\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435 + 153*r + 435.\nAnswer: 153*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 309 + 277*j**2 - 152 - 154 + 7*j. Is p(2) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 144 = 10. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -287, -294, -299, -302, -303, -302?\n\"Answer: x**2 - 10*x - 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40629.\nAnswer: 3, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 48, -61, -168, -273, -376, -477, -576?\n\"Answer: n**2 - 112*n + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1342 is divided by 3\/(-2)*(73370\/15)\/(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/754 and ((-69)\/60)\/((-34)\/85).\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 42 + -8 - (0\/1 + 2). Let a(y) = n*y + 37*y - 64*y. Give a(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1825 and -0.08?\nAnswer: 0.0146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -19*h + 1. Let y be g(1). What is the tens digit of (-60)\/y*18\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 380*x.\nAnswer: 380*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3 + 3)*(347 + 257 - 526)*(2 - 2 + 1)*(s + 0*s - 2*s)*(2 + 2 - 2).\nAnswer: 312*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5422533?\nAnswer: 3, 1807511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 39946169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*k - 13*k + 50 = 71*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2781 - 1836. What are the prime factors of r?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10498001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2268.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/3)*z**3)\/(z**(-1\/4)\/(z*z**1*z)))\/((z**(1\/8)*z**(-6)*z*z)\/(z**(2\/5)*z*z\/(((z*z**(-5))\/z)\/z))) assuming z is positive.\nAnswer: z**(2303\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 48 = 3. Let x = 5 + -4.6. Sort x, p, 1\/10 in decreasing order.\nAnswer: x, 1\/10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126768 and 60882.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + -1)\/(((-4)\/(-12))\/(-1)). Suppose s = 3*s - y - 4831, d*s - 7251 = -3*y. Suppose -s = -9*a - 796. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 4134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 638 = -60*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56921543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.789 + 4.789. Sort 80, o, 1\/4 in increasing order.\nAnswer: 1\/4, o, 80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 19*z + 42. Determine s(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, w: 2}. Give prob of sequence ddww.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 287. Let f(x) = 128214*x**2. What is y(f(v))?\nAnswer: -256428*v**2 + 287","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3909 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence el when two letters picked without replacement from eeeenjeeelueecejejej?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62221, -124432, -186631, -248812, -310969?\n\"Answer: p**3 - 62218*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68 - -96. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001506484 rounded to seven dps?\nAnswer: -0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5985077 and 3?\nAnswer: 17955231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/4110 and -87\/16.\nAnswer: 32880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 196 - 212. What is the fourth smallest value in t, -2, 1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11460*p + 4971 wrt p.\nAnswer: 11460","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**19*g**10\/g assuming g is positive.\nAnswer: g**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llb when three letters picked without replacement from blbglgbbglg.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + u + 2 = -6*w - 18, -5*u = 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(88) - (sqrt(88) + 1*sqrt(88) + sqrt(88) - sqrt(88))) + sqrt(88))\/(sqrt(64)\/(sqrt(8)*1)).\nAnswer: 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 1012333?\nAnswer: -1013002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*m**2 + 3690*m**4 - 3688*m**4 + 4*m + 55 - 54 as v*m**4 + q*m**3 + k + a*m**2 + i*m and give a.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 314 - 222. Let h be (k\/69)\/(2\/(-3)). Let n(v) = -v**3 - 3*v**2 - 4*v - 5. Let a be n(h). Do 3\/10 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -0.005, -4\/5, -4, 0.3, 5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122212746?\nAnswer: 2, 3, 1019, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16961348*c + 16961348*c + 128*c**3.\nAnswer: 128*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -2*f + 2, -2*u - 4 = -0*u - 4*f. Suppose -1 = 3*l - 4*l. Let k be l\/(-1) - (-5 - 1). Put 4, u, k in ascending order.\nAnswer: u, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -3*w + 59, -2*d + 3*w = -w - 24. Suppose 39*p = 35*p + 704. Calculate the greatest common factor of p and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m. Let z = 1537 - 1533. Let s(c) be the second derivative of c**3\/3 - 10*c. What is z*s(d) + 6*a(d)?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-2)\/(-3)). Let h be ((-3)\/(-4))\/(-39 - 5586\/(-152)). Which is the nearest to h? (a) g (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of 11*m**8\/84 - m**7\/210 + m**4\/12 - 21*m**3\/2 + 5*m**2 - 1. Find the second derivative of f(l) wrt l.\nAnswer: 880*l**3 - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4698.028ml to litres.\nAnswer: 4.698028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14433 - -14200040?\nAnswer: 14220023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/6126 and -57\/49.\nAnswer: 300174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ocbt when four letters picked without replacement from {t: 1, c: 1, b: 5, s: 3, o: 2}.\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 7346629.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (2*sqrt(320) - sqrt(320)) + (sqrt(320) - (sqrt(320) + (-2*sqrt(320) + -3 - sqrt(320)))) + -3*(2 + sqrt(320)) + (0 + sqrt(320))*-3)**2 + 2)*6.\nAnswer: 960*sqrt(5) + 7842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqyqqqnyyy. Give prob of picking 1 n, 2 q, and 1 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 83320 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + 3*o + 3. Let p = 49 - 46. Suppose 4*x + c = -2*c + 32, p*x + 2*c - 25 = 0. Suppose -q + 8 = x. Give a(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/5 (b) 0 (c) 4 (d) 346\/3 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3182 divided by -51.\nAnswer: 3182\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 + -0.1. Let m = 13 - 15.3. Let y = 6.3 + m. What is the third biggest value in y, 0.3, q?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.47 - 0.37. Which is the biggest value? (a) -0.3 (b) 1\/5 (c) 3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 38582828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k**2 - 9. Let t = 39 + -32. Suppose -b = 3 - t. Let a(o) = o**2 - 2. What is b*r(f) - 18*a(f)?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 5*q - 2*l, 4*q - 3*l - 92 = -6*l. What is the highest common factor of q and 1472?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/60)\/((-6)\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100109775 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -1194.2141\nAnswer: -238.84282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 4 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 - w - 1. Suppose -5*t - 157 = -2*l, 3*l + 137 = 5*l - t. Suppose 65*h = l*h - 28. Let i = h - 24. Determine s(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z. Let k(n) = -3*n**2 - 4*n - 4. Let i(f) = -2*f**2 - 3*f - 3. Let h(t) = -4*i(t) + 3*k(t). Determine q(h(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*k**2 + 56*k**2 - 99*k**2 - 15 + 15.\nAnswer: 140*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36878 + 18589. What is the thousands digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*q + 133. Let i be 3\/4*24\/q. What is the nearest to i in 0.2, 0.3, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99 + 315 + 105)*(0*q**3 - 3*q**3 - q**3) + 2*q - 2*q**3 + q**2 - q**2.\nAnswer: -1286*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(275)*2*-1)**2*5 - -6*6*(-2 + sqrt(275))*2) + 2.\nAnswer: 360*sqrt(11) + 49358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*v - 10, 4*v = 2*o + 11 + 3. What is the highest common factor of 45 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.208407078 rounded to 4 dps?\nAnswer: -0.2084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -568*t**2 + 189*t**2 + 190*t**2 + 195*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 123536899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 6 + 21 = 0. Suppose 0 = -q*o - 22 - 3. Let l(r) = -8*r - 2. What is the remainder when l(o) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3 + -3 + -2 + -16 + 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 265, 5, 4268 in increasing order.\nAnswer: 5, 265, 4268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6 - 3*k**2 + 2 - k - 1. Let l be d(-6). Let m = -57 - l. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 311 by 4.\nAnswer: 311\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 27*i**3 + 68*i**2 - 4*i + 2. Let m(r) = 13*r**3 + 35*r**2 - r + 1. What is -2*c(n) + 5*m(n)?\nAnswer: 11*n**3 + 39*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 17, x: 1}. Give prob of sequence rr.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1419 + -4109. Let n = -42 + 46. Does 32 divide n\/10 + h\/(-25)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 34*x + 19 = 4*i, 3*i + 6 = 3*x. Let n be (14 + 15\/(-3))\/(x\/6). Solve 0 = -20*r + n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*d + d - 5*d + d + 6*d**5 wrt d?\nAnswer: 120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {e: 3, f: 1, k: 4, c: 2, g: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)*q*q\/(q\/q**(3\/4)*q))\/(q**(1\/33)\/q**(7\/3)))**(-4) assuming q is positive.\nAnswer: q**(785\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 3. Let n be ((-6870)\/55)\/(-6) + l\/(-22). What is the derivative of 21*h**2 - 12 - 19*h**3 - n*h**2 wrt h?\nAnswer: -57*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -635*v + 15981. Calculate q(25).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/17 + 575604*d**2\/17 + 41413844370*d\/17 - 165664587272\/17.\nAnswer: 2*(d - 4)*(d + 143903)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11230.8 - -9490. Round k to the nearest 10.\nAnswer: -1740","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c - 3. Let v be a(4). Let n be v\/3 - 2\/(-6). Suppose -51 = -n*q - 5*l, 0 = 2*q - 2*l - 26 - 46. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 45*x**2 - 10*x + 4. Let f(q) = q**2 + 3*q - 1. Determine 3*f(a) + n(a).\nAnswer: 48*a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1362802 (base 9) to base 16\nAnswer: b71ee","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of -v**7\/280 - v**6\/160 + v**5\/80 + v**4\/32 + 8*v**2. Solve p(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1483581 and 44\/85827?\nAnswer: 10385067","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 9 + 7*s**2 + s**3 + 0*s**2 - 4. Let c be y(-7). Solve -3 = a, -c*i + 5*a + 15 = -0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2682)\/(-28161))\/((-3)\/63)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -25*c + 44367. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77, 72, 67, 62, 57?\n\"Answer: -5*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 754.65*-3021.\nAnswer: -2279797.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 5*h**2 - 5*h - 4. Let a be o(6). Let n = 11 + -13. Sort n, a, -5.\nAnswer: -5, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 times -1263?\nAnswer: 17682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -271 + 486. Suppose 0 = 3*v + 532 + j. What are the prime factors of 6\/6 - (1 - v)\/(-2)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -14204?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17108?\nAnswer: 2, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w - 6*w - 8*w - w + 5 as d + p*w and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1565 + -20?\nAnswer: 1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q + 82 = -14*c + 5*q, 40*c = 15*c + 22*c - 3*q + 72 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/210 + 2*11\/(-12))\/1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l + 6*l - 5*l. Let v(u) be the first derivative of -2\/3*u**3 - 13 + 0*u + 0*u**2. What is z(v(c))?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 + 5*v + 4 + 6*v**2 + 4. Let j(u) = 9*u**2 - 6*u - 41. Let s(i) = 2*i**2 - i - 8. Let b(o) = j(o) - 5*s(o). What is 5*b(h) + z(h)?\nAnswer: -h**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 349 - 415. Which is the closest to -1\/4? (a) -2\/15 (b) q (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 - 740\/7. Let r = 682.2 + -682. What is the nearest to 1\/2 in r, 3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29732636243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/5)\/((-15)\/(-25))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -1\/12, -2\/43, -43637, -3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*s + k + 10, -5*s + k = 43. Let m = 24 - s. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**4\/8 + u**3\/3 - 3*u**2\/2 + 3*u. Let k(w) be the first derivative of p(w). Find the first derivative of k(v) wrt v.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n + 6171 = 236*n + 181*n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1142, 2260, 3342, 4370, 5326, 6192?\n\"Answer: -3*i**3 + 1139*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -151245.02100051 - -151244.92. Let w = -0.101 - n. What is w rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*g = 51*g - 96288. Is 72 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-3915)\/54)*-2*1080\/16\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 4 = r, -94*q + 98*q = 6*r + 14 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -180 and -14980?\nAnswer: 2696400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5727*y = 6019*y + 7884 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let d(q) = 49*q**2 - 3. Calculate o(d(v)).\nAnswer: -49*v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -3113211?\nAnswer: -3113210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -21. Let z be 2\/(-4)*(-22 - r). What are the prime factors of z\/(-45) + 197\/15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2. Let h(o) = -528207343*o. Calculate s(h(i)).\nAnswer: 837008991597358947*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 i when three letters picked without replacement from {p: 2, i: 1, c: 1, x: 1, q: 8, k: 1}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5753, 5754, 5755, 5756, 5757?\n\"Answer: n + 5752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of -2*b**7\/105 + b**5\/20 + b**2 - 3*b. Let n(m) be the first derivative of h(m). Find the third derivative of n(l) wrt l.\nAnswer: -96*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 35*v - 20. Is r(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3 + 3743766*j**2 - 3*j - 3743766 = 0 for j.\nAnswer: -1247922, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 + -17. Let t = 297 + -198. What is the greatest common divisor of t and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxxdldxxllxqxdxlxl. Give prob of picking 1 d and 1 x.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-246)\/(-4) - 1)*2. Let j = -20 + 31. What is the greatest common factor of h and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 28 + -1229 + 1250.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6413343, 6413368, 6413393?\nAnswer: 6413418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/251 or 17.6?\nAnswer: 3\/251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -4098.0829 to 1 decimal place.\nAnswer: -4098.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - 25*z - 4*z + 2 - 10*z - 14*z.\nAnswer: -42*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 112\/(-21)*(-21)\/14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or 605?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(156)\/(sqrt(108)*3) + ((sqrt(78)*1)\/sqrt(2))\/(sqrt(243)*-2 - sqrt(3)))*2.\nAnswer: 20*sqrt(13)\/171 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5440752 divided by 5440752.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64709405 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48 (base 10) to base 6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*44\/5566*23?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o - 3. Calculate r(7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**2. Suppose -n + 11 = 4*d, -3*n + 3*d = -2 + 14. Let v = n - -3. Let w(j) = -v*j - 1 + 1. Determine w(l(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - 90. What is the lowest common multiple of (3\/(-5))\/(3\/r) and 0 + 7 + 1 + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 268*c - 249*c + 517*c + 0*c**2 - 4*c**3.\nAnswer: -4*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-1\/3)))**13*(i*i**(-1\/4))\/i**(1\/7) assuming i is positive.\nAnswer: i**(415\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08103 - 0.082. Round g to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/59976 and -65\/19584.\nAnswer: 959616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*p**4*x**2 - 2*p**3*x**3 + 2*p*x**3 + p*x**2 + 35*x wrt p?\nAnswer: -288*p**2*x**2 - 12*p*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f - 7099 + 3*f + 7100 + 4*f.\nAnswer: 5*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 2\/3 (c) 0.24 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 5*o - 25. Let u be p(5). Which is smaller: u or 11\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + -2 - -5) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 109, -12, -21 in descending order.\nAnswer: 109, -12, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*v + 75 + 2. Let j = 9 + v. Which is greater: j or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/153 and 121\/72.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13503593.\nAnswer: 17, 683, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 341058*f**2*i**3 + 1736*f**2 + 402*f*i**2 - 5*i**3 wrt i.\nAnswer: 2046348*f**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3607029?\nAnswer: 3, 179, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2\/27, -0.5, 315?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9453*f**2 + 8 - 2 - 850*f + 850*f.\nAnswer: 9453*f**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 132817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -2*j**2 + 4*j. Let l(f) = -19*f. Determine m(l(d)).\nAnswer: -722*d**2 - 76*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6272 = 1002*u - 974*u. Calculate the highest common factor of u and 462.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1*(-24)\/27))\/((-8)\/32)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a*u**6 - 238*a*u**3 - 2*a + 13*u**4 - 1790*u**2 + 26 wrt u?\nAnswer: 600*a*u**3 - 1428*a + 312*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 0*i**2 + 0*i**2 - i**2. Let t(j) be the first derivative of j**3\/3 - 7. What is r(t(x))?\nAnswer: -x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 171082 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**3 + 76*n**2 + 63*n**2 - 139*n**2.\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8879 or 8885?\nAnswer: 8879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence toq when three letters picked without replacement from ottqtibbbtbqq?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*f - 3*v = 40, -3*v + 7 = -13*f + 17*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(891) - sqrt(11) - sqrt(11))**2 + -5).\nAnswer: 2136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 425*y**2 + 1695*y - 26. Calculate m(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x**(-4\/7)*x)\/x))**(-13)*(x*x*x*x\/(x**(1\/2)\/x*x*x))\/(x\/((x**(2\/41)*x)\/x)) assuming x is positive.\nAnswer: x**(-18299\/574)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -272 - -168. Let y = 173 + k. Let l = 69.1 - y. Is l greater than or equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6\/11)*w**(-2\/23) assuming w is positive.\nAnswer: w**(-160\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 58*u - 216. Determine b(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*k = -5*d - 13, 4*k - 3*d + 19 = 2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 2*x + 16. Suppose 0 = -4*m + x, -7*j + 4*j - 5*m = -109. What is the greatest common factor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(3\/8)\/b**(-7))\/((b**4*b*b)\/b**(-2))*((b\/b**5*b)\/(b**(-2\/3)*b))\/(b*b**0*b*b**(1\/8)) assuming b is positive.\nAnswer: b**(-73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/91)\/((-304)\/(-114)*(-9)\/84).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/15 + 1414*l\/15 - 463312\/5.\nAnswer: 2*(l - 552)*(l + 1259)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 2719904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25644, 51234, 76782, 102288, 127752, 153174, 178554?\nAnswer: 203892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4507, -4558, -4609, -4660, -4711, -4762?\n\"Answer: -51*f - 4456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 298258\/5 at least 59653?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -94 * 1267.\nAnswer: -119098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8781.3 take away 2?\nAnswer: 8779.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/44 + (-60)\/330)*-1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**4 - 3*l**4 + 3*l**4)*(10 - 10 + 9)*(9 + 8 - 21) to g*l**2 + d + o*l**4 + u*l + s*l**3 and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t**2 - 40*t + 1037. Determine f(-19).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - -3040340?\nAnswer: 3040322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-15)*u**(5\/7))**(-4))**(-47) assuming u is positive.\nAnswer: u**(-18800\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + f - 17 + 2*f + 3*f.\nAnswer: 2*f - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 4:22 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 o when three letters picked without replacement from yooyy.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.234841375 rounded to 2 decimal places?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m + 1. Let b be c(-1). Let n = b + -1. Let z(r) = 2*r**2 + 3*r. What is the units digit of z(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*i, -q - 2*i = 20664 - 54344. Round q to the nearest one thousand.\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 1345*w + 1326*w + 877 = 0, -5*q = 4*w + 326 for q.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -p**8\/1680 - 2*p**7\/315 + p**6\/36 - 2*p**4 + 2*p**2 - 4*p. Let r(z) be the second derivative of k(z). Solve r(n) = 0 for n.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 1742525.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375342.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 12*z**2 - 3*z + 1. Let i(h) = -11*h**2 + 2*h - 1. Let d = 12138 - 12132. Determine d*i(f) + 5*s(f).\nAnswer: -6*f**2 - 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 164 + -164. Sort -5, 28, -0.2, 1\/20, q.\nAnswer: -5, -0.2, q, 1\/20, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11136\/116 + 60 + -124.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5111 is divided by 93.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 10 - 4 = 0. Which is smaller: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -65 and -33148\/21 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(13 + -27 - -13). Solve 14*p + 0*p - 56 = s for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622721 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 47*q**2. Let v(m) = 16*m**2 + 1. Determine o(v(j)).\nAnswer: 12032*j**4 + 1504*j**2 + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 g when two letters picked without replacement from {o: 4, t: 1, p: 2, g: 3, d: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**2 + 11790*o - 6950205 = 0. What is o?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 55128*l - 10353*l + 9932*l + 12704*l.\nAnswer: 67411*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 1 + 0*v + 0 - 3. Let s be b(2). Let t = 0.1 + 0.3. Which is greater: t or s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201655923.\nAnswer: 3, 7, 59, 23251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*r**3 - 114084*r**2 + 484640*r - 513072 = 0.\nAnswer: 2, 9\/4, 7126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(171)\/(1*sqrt(1296)).\nAnswer: -5*sqrt(19)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -4*(-4 + sqrt(147)*-2 + (sqrt(147) - (3 + sqrt(147)))*-1) + 1)*1)**2.\nAnswer: 112*sqrt(3) + 9409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.6514393 minutes to hours.\nAnswer: 0.044190655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 + -76. Suppose n = -47 - z. Let o = n + 233. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906299\/2 - (((-1)\/(-2) - 8) + 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 162 and 1863?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13064\/20 + 4\/(-20). Suppose 4*s - s - 2*o = 481, 4*s - i = 5*o. Calculate the remainder when s is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.9 + 6.038. Let o = -4.138 + h. Let t = o - -4.000155. Round t to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -615 - -612. Let y be (2\/o)\/(-4 + 102\/27). Let 105\/2*f - 75\/2 + 3\/2*f**y - 33\/2*f**2 = 0. What is f?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 310.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3061 is divided by 613?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 33 + 107 = 17*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c + 22294 + 13896 = 0. Calculate the highest common divisor of 55 and c.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -135.9 - -135.7. Are -14\/13 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 83*x**2 + 14*x + 2731. Let o(p) = 52*p**2 + 9*p + 1821. Give 8*o(l) - 5*z(l).\nAnswer: l**2 + 2*l + 913","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1335 and 148965?\nAnswer: 13257885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j**3 + 0*j**4 + 0*j**2 + 6\/5*j**5 - 7*j - 7. Differentiate s(w) with respect to w.\nAnswer: 24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 1 + 1 = 0. Let j be ((-1)\/(-4))\/(125\/40 - 2). Which is the nearest to -2\/13? (a) l (b) -2\/9 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**2 + 147*t + 360. Determine p(-71).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 708 - 705. What is the closest to 1.1 in 4, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 753962.6 litres?\nAnswer: 753962600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 47 + -56. Put b, -4, 0 in decreasing order.\nAnswer: 0, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-301)\/(-1032))\/((-21)\/(-4)))\/((-5)\/105)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 5 (b) 0.04 (c) -2\/23 (d) -44 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 38, 56, 78, 104, 134?\nAnswer: 168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/2*60\/35?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15064*0.3.\nAnswer: 4519.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -6317\nAnswer: -6\/6317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -j + 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -58, -1, -4, -8, 5 in decreasing order.\nAnswer: 5, -1, -4, -8, -9, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (934 + 4197 + 660)*(-2*p**4 + 4*p**4 + 0*p**4) in the form y*p**4 + m*p**3 + t*p + g*p**2 + d and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.158 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011001001 - 1011001?\nAnswer: 10001110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-8 - -3)\/(-35)). Suppose 0 = -n - 2*r + q, r + 9 = 4*n - 1. What is the tens digit of n\/15 + (-2632)\/(-40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(17) + sqrt(17) + 4)*-5*-1.\nAnswer: 20 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 7 (b) 1 (c) -6 (d) 18 (e) 0 (f) 86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -31*j - 428. Calculate s(-19).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -816 + 872. Let r be 12 + 1\/((-1)\/(-2)). What is the greatest common divisor of r and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from {c: 1, q: 1, i: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*l + 1710, l = -r - 2*r - 434. Let o be l\/12*(-2 + (-2)\/2). Suppose -449 + o = 6*a. Which is bigger: -56 or a?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4 - o**3\/3 - o**2\/2 - o. Is i(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -683*q - 10389 - 12129 = -55*q - 5562 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**3 - 26*i**3 + i**3.\nAnswer: -33*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -18.1. Let q = -172 - -186.6. Let n = q - 0.6. What is the third smallest value in -4, h, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*s = f, 0 = 5*f - 4*s - 4. Let a(w) = w**2 - 8*w - 7. Let i be a(9). Solve i*m - f*m = -6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1879, -3747, -5597, -7423, -9219, -10979?\nAnswer: -12697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 60*n**2 + 27*n - 69. Is b(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -54 + 37*d - 55 + 108 with respect to d.\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 + 3)*(168*g + 278 - 535 + 256).\nAnswer: -1512*g + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}