diff --git "a/data/dm_maths/full_data_1/10704_11255.jsonl" "b/data/dm_maths/full_data_1/10704_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10704_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let y be (28\/6 - -2)*-6. Let v = y - -88. What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9342 is divided by 489.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -8. Let x = m - 15. Suppose -3*p - x*p = -78. What is the smallest common multiple of 1 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -82 * 1.66.\nAnswer: -136.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((1\/2)\/((-3)\/9))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -282.680012523 - -282.68. What is o rounded to 7 dps?\nAnswer: -0.0000125","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -20777, -25666, -30555, -35444, -40333?\n\"Answer: -4889*w - 15888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = r + 8. Suppose 0*h + r = h. Solve 2*i + 2*f + 6 = h*f, 5*i - 3*f = -7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -m - 3*j, 5*j - 7 = -0*m + 4*m. Let z(n) = -4178*n + 87748. Let w be z(21). Solve 0 = -4*b + m + w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27697681 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: What is the units digit of (-6)\/(-4)*3724\/114?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6866 less than 128575193318?\nAnswer: 128575200184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 2*z - 2*s, 12*s - 9*s = 6 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28887120 + 51087120. What is p rounded to the nearest one million?\nAnswer: 22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-97)\/194*11\/2)\/(-1*(-3)\/(-60)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 607912 and 188?\nAnswer: 28571864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3113 - -21?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 146720 by 18340.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/19 + 4*j**2\/19 + 18*j\/19 - 36\/19.\nAnswer: -2*(j - 3)*(j - 2)*(j + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 + 49 + -64?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*f**3*q**3 + 4*f**3*q**2 + 9*f**3*q - f*q**5 - 3*q**4 - 2*q**2 wrt q?\nAnswer: -30*f**3 - 60*f*q**2 - 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1810?\nAnswer: -1810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 586*g**2. Let y(t) = -1475*t**2. Calculate m(y(a)).\nAnswer: 1274916250*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 14 - (4 - 10). What is the greatest common divisor of h and 320?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) 2\/11 (c) 0 (d) -0.1 (e) -36\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 y when three letters picked without replacement from wwlblrbbwyx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 6:42 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + -3 + sqrt(75) + 4)*2)**2 + sqrt(6)\/sqrt(8) + (-1*sqrt(6)\/sqrt(2) - sqrt(3)).\nAnswer: 157*sqrt(3)\/2 + 1204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 53*t - 200. Let k be y(4). Solve -5*r + k = -4*f, 0*f - r - 12 = 4*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - g + 5 + 0)*(0 - 1 - 1)*(1 + 10 - 2).\nAnswer: 18*g - 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 287731702 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 t be (-8)\/(-4) - (-98 + 1). Suppose -5*o = c - t, -45 + 390 = 3*c + 3*o. What is the remainder when c is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -80, -108, -152, -218?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381937530?\nAnswer: 2, 3, 5, 13, 979327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**2 - 4*z + 4. Let a(u) = -2*u**2 + 5*u - 3. Let f be a(3). Determine c(f).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(1539))*-6 - (0 + (sqrt(38)\/sqrt(18) - sqrt(19)) + 1 + sqrt(304))**2.\nAnswer: -668*sqrt(19)\/3 - 1909\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8690 by -22.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32797879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 17*g**3 - 9*g**2 - 8*g - 14. Let a(r) = 6*r**3 - 3*r**2 - 3*r - 5. Determine -8*a(o) + 3*y(o).\nAnswer: 3*o**3 - 3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 95058 = 16*k, -33*r + 2*k + 474634 = -28*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*61*1 + 0. Let p = 109 - -18. Let u = p + q. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6896, 13794, 20668, 27506, 34296, 41026?\nAnswer: 47684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 35096429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t\/((t\/((t**15\/t)\/t*t)*t)\/t))))\/t*t**(-2\/23)\/t*t assuming t is positive.\nAnswer: t**(274\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvzv when four letters picked without replacement from llvjldjzjlzjjjlv.\nAnswer: 1\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l + 14 + 20. Let o(c) be the first derivative of -4 - c + 0*c**4 + 0*c**3 - 4\/5*c**5 + 0*c**l. What is the derivative of o(d) wrt d?\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/42)\/((-2)\/8). Let j = 40\/21 + -2. Which is the smallest value? (a) 1 (b) l (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 2, -1, 12, -3 in increasing order.\nAnswer: -16, -3, -1, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -135\/2*g**4 - 26 + 25\/4*g**5 + 93*g - 721\/4*g**3 + 25\/2*g**2 = 0.\nAnswer: -2, -1, 2\/5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05 - -11.3863231675.\nAnswer: 11.4363231675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199*b - 42*b + 102 = -45 - 10. Let o be (-2)\/2*(0 - 0). Sort b, o, -2 in descending order.\nAnswer: o, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/10, -3, 0.5, -212\/15?\nAnswer: -212\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1 + -88.9. Let l = i + 89.99975. Round l to five decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*g + 57*g = -20. Let t be -3 + g\/(-4)*-5. What is the second biggest value in -0.3, 0.3, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -23*w + 340. Let x be (w - -5 - (0 - -3)) + -3. Let t = x - 4. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1960 divided by 980\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 5 - 3. Let m(r) = -2*r + 3. Let c be m(a). Let y(v) = -4*v**3 - v. List the prime factors of y(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + b + 5. Let v = -2629 - -2631. Let p(q) be the second derivative of q**v + 0 + 0*q**4 - 4*q + 1\/6*q**3 + 1\/20*q**5. What is -5*p(k) + 2*u(k)?\nAnswer: k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 559 - 561.2. Let f = -8 + a. Round f to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 - 1646 - 250 = -40*w + 238 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5362.\nAnswer: 2, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 0*g**2 - g**4 + (-4*g + 5 - 5 + (1 + 0 + 1)*(g + 0*g - 2*g) + g + 0*g - 3*g - 6*g + 3*g + 2*g)*(-g**3 + 2*g**3 + 0*g**3).\nAnswer: -10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.123202 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 15624.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 232912?\nAnswer: 232912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**4\/18 + c**3\/9 - 7*c. Find y such that u(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 526 = 2*y, -2*y + 62 = -5*a - 444. Suppose 0 = -h + 5*h. Suppose h = 5*n - y + 58. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 125 - -87. What are the prime factors of j?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32196962 divided by 2299783\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 32, 49, 68?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1124*s + 7 - 3 - 1126*s. Calculate a(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 463\/39 - 25\/75. Let u = 4924\/429 - r. Let w(b) = b**3 - 20*b**2 + 19*b + 1. Let v be w(19). Is v less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 70*n**2 + 7*n + 81. Let s be c(35). Let g = 333 - s. Calculate the greatest common divisor of g and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4078.80416 times -5?\nAnswer: -20394.0208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 85 + 85. Let q(r) = 2*r**2. What is l(q(a))?\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - j - 5. Let q be h(-4). Let v be 0 - (1 - q\/(-27)). Let c = -2 + 4. Sort -4\/5, c, v in decreasing order.\nAnswer: c, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-5100)*17)\/(1\/(-5))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -336\/103 + 5344\/1133. Factor h - 14\/11*k - 2\/11*k**2.\nAnswer: -2*(k - 1)*(k + 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i - 59. Let g be u(-6). What is the greatest common divisor of 19 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 20*o**3 - 556*o**2 - 692*o - 116 = 0.\nAnswer: -1, -1\/5, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -448 + 404 + 279 + 400 - r**3 + 1269*r + 633*r**2.\nAnswer: -(r - 635)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/5, -1.37, 1, 115, 3?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 202, -693, -2176, -4247, -6906, -10153, -13988?\n\"Answer: -294*w**2 - 13*w + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*a**2 + 1)*(-1 - 2 + 2) + 5 + 2*a**2 - 5 + 14*a**2 - 445*a**2 - 79*a**2 in the form s*a**2 + r + u*a and give s.\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88641 = -2018*j + 33468 + 15971 - 17000 for j.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**32)\/h)\/(h**(-10\/11)*h))**(-10) assuming h is positive.\nAnswer: h**(-3620\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 23*g**2 - g + 25. Let o be l(23). Solve 3*q = 4*q - o for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 11*b + 3. Suppose 19*j = -2*g + 15*j + 106, -5*g + 310 = -5*j. Let r(h) = 61*h + 8 + g*h - 88*h. Calculate 8*q(z) - 3*r(z).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0684 rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2670 - -2672. Solve -l*b + 36 = 10*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of 5*f**8\/1512 + 13*f**7\/945 - f**6\/90 - 2*f**5\/27 + 2*f**4\/27 - 662*f**2 - 3*f. Let i(y) = 0. Calculate y.\nAnswer: -2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23993341649 - -0.4\nAnswer: -23993341648.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p. Let l(m) be the second derivative of 35*m**4 - 630*m. Determine o(l(a)).\nAnswer: -420*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 348 - 161)*(0 + 3 - 2)*(2*w**3 + 0*w**3 - w**3 + 0*w**3 + 3*w**3 - 6*w**3 - 3*w**3 + 4*w**3 + 0*w**3 + (w**2 - 3*w**2 + 4*w**2)*(w + 0*w + w)).\nAnswer: -1353*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7012650 is divided by 103?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**5\/5 - 20*f**4 - 108*f**3 + 212*f**2 + 2224*f\/5 - 528 = 0.\nAnswer: -15, -11, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14 - (-4*1 - (-4 + 0)). Suppose -3*o + 252 = -o. What is the greatest common divisor of q and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 217*b + 9*b - 13786. Solve 2*n = 4, -b*h + 64*h = -n - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1159 is divided by 36?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbirnpkn. What is prob of picking 1 i and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (20\/4)\/(3\/(-5)*145\/(-174))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/299 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f + 12. Is 13 a factor of i(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -7. Suppose r + 22 = 4*p, -26 = r - g*p - 2*p. Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of -w**5\/20 - 3*w**4\/28 + 20*w**3\/7 + 323*w**2. Factor t(y).\nAnswer: -3*(y - 2)*(7*y + 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4240 divided by -106.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 23b0b623?\nAnswer: -23b0b625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 83078*w**2 - 2.\nAnswer: -83078*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -535.8 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -2\/31, 11, 0, -1\/2 in descending order.\nAnswer: 11, 4, 0.5, 0, -2\/31, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/252958 and -97\/1770706?\nAnswer: 1770706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 114 and -3283852.\nAnswer: -374359128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6748.602m?\nAnswer: 6.748602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**7\/70 + l**6\/40 + l**5\/2 + l**4 + 6*l**2 + 1. Find c, given that b(c) = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 11*v**3 - v - 9*v**3 + 4*v**2 - 3*v**3 - v. Let y(h) = -3*h**3 + 8*h**2 - 5*h. Determine -7*m(b) + 3*y(b).\nAnswer: -2*b**3 - 4*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 12*u**2 - 6*u. Let a(w) = -11*w**2 + 5*w. Let c(n) = -6*a(n) - 5*l(n). Let f be (-1)\/((2\/(-4))\/1). Let m(q) = -q**2 + 3*q**f - 5*q**2. Give c(m(t)).\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.1 + -3. Let q = 1.49 - -7.61. Let m = 9 - q. What is the nearest to -0.1 in m, -1, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 6. Let m = -2 + 12. Calculate the smallest common multiple of c and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v - 32 = 0. Solve 0 = j + v - 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((-5 + -1*sqrt(252))**2 - sqrt(252)) + -4) - (3 + ((-2 + sqrt(112))*-3 + 1)**2).\nAnswer: -241 + 330*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-149 + 176 + -2 + 0 - 9).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.6 and -3431.\nAnswer: -2058.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c + 6*c + 3*c)*(-3256 + 1516 + 1483)*(3 + 1 - 1) to the form r*c + f and give r.\nAnswer: -5397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 41617026 to the nearest 1000000.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {b: 8, n: 2, j: 5}.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13 - -15?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6061560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 548737746 to the nearest integer?\nAnswer: 23425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(102) + sqrt(102) + -1*sqrt(102))*2 + 1*sqrt(102)*-5)\/((sqrt(384) - -4*sqrt(384) - sqrt(6))*5))**2 + -1.\nAnswer: -4208\/4225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.7 - 32. What is the second smallest value in -4\/3, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/5*-102*(195\/338)\/15.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5496612, 10993219, 16489804, 21986355, 27482860, 32979307, 38475684, 43971979?\nAnswer: 49468180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2155*a**3 + 1400720*a**2 - 1422405*a + 19530 = 0.\nAnswer: -651, 6\/431, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-240)\/4)\/((-1)\/(-6)). Let r = d + 228. What are the prime factors of r\/(-21) - (-2)\/(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22.88 + 0.28. Let c = b + 22.599999778. What is c rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 882 a factor of 97099361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -2, -28 in increasing order.\nAnswer: -28, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3677004 and 1692?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.1320663ms?\nAnswer: 0.0001320663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z = -35*z - 11*z - 632 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*i + 4*k, 2*k - 1 = 5*i - 8. Let x = -23 + 22. What are the prime factors of x\/(i - 70\/65)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 6 + 15 = 17, o = -t - 5 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes before 2:44 AM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138.78 - 140. Let d = 0.22 + f. Which is the biggest value? (a) -0.5 (b) d (c) -27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*q - 5*r, -r - 1 = -2*q + 11. Suppose 14 = 2*k + k + j, -q*k = -5*j + 13. Solve b + 2 = z - 0, k*z - 16 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2)*8\/30. Let z(a) = -a**3 - 9*a**2 - 8*a + 1. Let j be z(-8). Let s be (-185)\/(-65) + j*-3. What is the smallest value in -1, c, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50175\/8 or 6272?\nAnswer: 6272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37 - 447?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = t - 53. Let l = t - -226. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -190429 + 1?\nAnswer: -190428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:59 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 75915.5 micrometers?\nAnswer: 7.59155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/(-91)*1\/(-6)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 74 = -20. Let m be (-2)\/11 - z\/22. Is m less than -5\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 + 2*p - 2*p + 5*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -235, -306?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y + 29*y - 145 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/((-560)\/(-172)) + 18\/21. Solve 22*l - w + 183 = 0 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g - 2560 = 9*g. Suppose -2432 = -4*j + g. Suppose j = -y + 3365. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103 - 7?\nAnswer: -10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 13*p + 12. Let x be 0 + (-10)\/5 - -19. What are the prime factors of j(x)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 - -58. Suppose -u*k + 12 = -23*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 10 = 2*f, 0 = 5*h - h - f + 17. What is the tens digit of (-3 + 38)*h\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, p: 2, u: 7, g: 2}. What is prob of sequence pupg?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**8\/560 + 3*d**7\/175 - 3*d**6\/50 + d**5\/10 - 3*d**4\/40 + 318*d**2. Let q(v) = 0. Calculate v.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2573, -5145, -7717, -10289, -12861, -15433?\n\"Answer: -2572*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 4*y + 28 = -2*l, 26 = -4*l - 2*y. Let k(m) = m**2 + 7*m + 9. Let d be k(l). Suppose -i - 1 = -d. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-165)\/140)\/(5316\/3544).\nAnswer: -11\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 90 - 106 = 0. Suppose 30 = 3*k + w, 12*k - 13*k = -w - z. What is the remainder when 115 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = 7*t + 3*t. Let b be t\/8 - (-1 + -4). Suppose 5*c = b*q - 159, 6*c = 3*q + 5*c - 171. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/5472 and -67\/912.\nAnswer: 5472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:15 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -19. Let y be (-23)\/2 + 2\/4. Let p(r) = r**2 + 5*r + 7. Calculate the remainder when p(y) is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*c**3 - 10*c**3 + 328 - 2*c - 1436 + 39*c**2 - 39*c**2 to w*c**3 + d + o*c**2 + t*c and give d.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.374*0.01629\nAnswer: 0.00609246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12\/11 - -13\/11. Let w = 0.3 - 0.4. Put 0.4, h, w in ascending order.\nAnswer: w, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77360252.\nAnswer: 2, 31, 113, 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u**2. Let q(m) = 8*m**2. Calculate t(q(z)).\nAnswer: 320*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2169\/(-144))\/(5\/66). Let l = 1056\/5 + r. Calculate the common denominator of -33\/14 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - 0. Let q = p - -10.5. Suppose 6*c - 8*c = 0. What is the nearest to c in -1\/3, q, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -11. Let d be 3\/r - 21\/36. Let w = 4.5 - 5. Which is the third biggest value? (a) d (b) w (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 360 + 258 = 0. What are the prime factors of c?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 4*g**3 + 2*g - 2*g**2 - 6*g**2 + 0*g**3 + 2*g = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 296742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o - 2*o**3 - 9*o + 3 - o**2 + 3*o + 2*o**2 to d*o + s*o**2 + x + r*o**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - q. Let s be t(-1). Suppose s*h = 2*h. Factor h + 1\/4*a**2 + 1\/2*a.\nAnswer: a*(a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/287 + -63429\/574. Let b = o + 111. Factor -1\/2 - 1\/2*q**3 + 1\/2*q + b*q**2.\nAnswer: -(q - 1)**2*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.84 + 37.84. What is the third biggest value in -99, 0, k?\nAnswer: -99","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 19*j**2 + 5*j - 20. Let k be (5\/(-15))\/((-11)\/(-165)). What is the units digit of s(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + sqrt(228)*1*-6 + sqrt(228) + 4*sqrt(228)*3)\/(sqrt(24)\/sqrt(98) + (sqrt(120) + -4*sqrt(120))\/sqrt(10)).\nAnswer: -14*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2*(196\/210)\/(672\/576)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (124*(-9)\/144 - -8)\/((-2)\/(-80)). Let q = -5 - -11. Solve -8*g + c = -q*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 6*r**2 - 4*r + 1. Let l be k(-6). Let c be (3\/(-5))\/((-1)\/l). Let y(i) = 7*i + 18. Is y(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*(z**(-5\/3)\/z)\/z*z))\/z**10)\/(z**(-3))**(-35))**(-16) assuming z is positive.\nAnswer: z**(5392\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 12 - 3 = 0. Let q be 1*(3\/l - -3). Put 7, q, 4 in decreasing order.\nAnswer: 7, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.2, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10.9 + -0.9. Let z = -13 + l. Let g = z + 4. Which is the closest to g? (a) -2\/11 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 8. Let f be a(-4). Suppose -5*q + 4*n = 0, 4*n + 0*n - 36 = -f*q. Find the third derivative of -5*d**4 + d**q - 3*d**4 + 18*d**2 wrt d.\nAnswer: -168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 - (-31 - 13)) + (-2 - -21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 1. Let y = 4 + -4.3. Sort y, h, -1\/4 in decreasing order.\nAnswer: -1\/4, y, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -331700 to the nearest ten thousand.\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-4)*(-2 + -8). Let n(p) = p**2 - 3*p - 4. Let h(t) = -t. Let m(a) = -h(a) - n(a). Let q be m(3). What is the greatest common factor of y and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5474845, -5474861, -5474877, -5474893?\nAnswer: -5474909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 1, 3\/2 in descending order.\nAnswer: 3\/2, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1050030?\nAnswer: 2, 3, 5, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 20 + 4. Let j be (b - -4 - -4)*-1. Suppose -5*o + 8 + 7 = -5*q, 4*q = j. Solve -o*h = -5*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2229.587 and 5.\nAnswer: 2234.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141604890?\nAnswer: 2, 3, 5, 7, 47, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r + 149. Let h(x) = -x. Give h(c(a)).\nAnswer: 2*a - 149","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -32948.\nAnswer: -32948, -4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z. Suppose 3*b - 16 = -c, -2*b = 3*c + 3*b - 40. Suppose 0 = 4*m + 3*t + 5 - 25, 5*m = 5*t - c. Let a(u) = m - 2 - u. Determine x(a(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 8*b**6\/3 - 49*b**3\/6 - 96*b. Find the second derivative of j(f) wrt f.\nAnswer: 960*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6094745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 11*c + 3595. Let k be r(-51). Solve 4*z = -3*u - 15, -428 = -u - 5*z - k for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23323 and 305447.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 2, -3*q - 22 = -3*v + 2*q. Suppose -5*s = -u + 19, -3*s = 3*u - u - 12. Let o = u - v. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 69 + 12. Suppose 26 = 4*m - 46. Calculate the highest common divisor of m and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 6. Let f(r) = r**3 - 7*r**2 + 12. Let c be f(7). Let k be 14\/(-3)*c\/(-14). Let d be k\/(0 - -2) - -2. What is a(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.071 * -1017.\nAnswer: -72.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.030083 to 4 dps.\nAnswer: -0.0301","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + sqrt(1331) + (sqrt(1331) - (3*sqrt(1331) - sqrt(1331))) + 2)**2 - sqrt(77)\/(sqrt(350)\/sqrt(2)).\nAnswer: 219*sqrt(11)\/5 + 1335","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1369528911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 22 = 2*r, -5*n - 2*r + 15 = -11. Let t be n + -2 + -3 - 0. Is t + -3 + 2 - -18 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -b**4\/2 - 144*b**3 - 15552*b**2 - 746496*b - 158. Determine k, given that r(k) = 0.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 3.2492.\nAnswer: -0.32492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 35a62 (base 12) in base 16?\nAnswer: 11aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2076, -4095, -5920, -7449, -8580?\n\"Answer: 17*z**3 - 5*z**2 - 2123*z + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 11 = 4*t - 5*s, -s = -3. What is the second biggest value in -2\/7, t, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104*y**2 - 70*y**2 + 115*y**2 - 1 + 54*y**2 + 46*y**2 to r*y + o*y**2 + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -2*y**3\/3 + 1834*y**2\/3 - 541552*y\/3 + 50582984\/3 = 0.\nAnswer: 193, 362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - 1*(6\/2)\/1. Suppose 2*c + n*s = 0, s - 37 = -3*c - 11. Calculate the least common multiple of c and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-33)\/(-7) + (-24)\/(-84). Let u(v) = -3*v**2 + 2*v. Let t(k) = 6*k**2 - 6*k. Let j(q) = q**2 + q. Let w(o) = -j(o) - t(o). What is d*u(z) - 2*w(z)?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 1. Let f(g) = -g**2 - 7*g. Let p(o) = -o. Let d(l) = f(l) - p(l). Let h be d(-6). Which is the biggest value? (a) 5 (b) h (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or -1366385478?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvlvjjvvvvvlv. Give prob of picking 1 j and 1 v.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l**3 + 53*l - 48 - l**4 + 34*l + 57*l - 161*l to the form g*l + z*l**4 + i + b*l**2 + t*l**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 20*q**2 - 19*q + 47. Let b be y(-21). Suppose 0 = -3*k - 2*n + 99 + 72, -2*n = b*k - 281. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnnnpppnnnn. Give prob of picking 1 p and 3 n.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.6 + 71. Let o = -27 - -29. Let m be (-4)\/10 - 168\/(-345). What is the second biggest value in o, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qsmp when four letters picked without replacement from {s: 1, q: 5, m: 1, o: 6, p: 1}.\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, y: 1, h: 3, k: 2}. What is prob of picking 1 y and 2 n?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -2, -12, 1 in ascending order.\nAnswer: -12, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 222 + -254. Let p be 2\/(-8) - 392\/f - -3. Let m(q) = -q. Let x be m(-5). Solve -4*h - 9 = 5*i, x*h + 4*i + p = 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - (-256)\/(-14). Let h = -14 - p. Suppose -n = h*z + n - 70, -3*z = -4*n - 58. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4184, -1, -4, 0, -3, -2 in increasing order.\nAnswer: -4, -3, -2, -1, 0, 4184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6418, -5, 8, 2, 0, 3 in increasing order.\nAnswer: -5, 0, 2, 3, 5, 8, 6418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -8 + 8 + (3 - 6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1956618 less than -4?\nAnswer: -5.1956618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g**2 + 0*g**2 - 2*g**2)*(1210*g - 582*g + 936*g + 1687*g) to m*g**3 + a*g + v + j*g**2 and give m.\nAnswer: -3251","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39900 and 44592450.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64520, 64525, 64530, 64535, 64540?\n\"Answer: 5*b + 64515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -322.1 and 108.\nAnswer: -34786.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 192 = 4*k, -3*k + k + 5*u = -75. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven quarters of a millennium?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-6*-2*sqrt(175))**2 + ((sqrt(77) - sqrt(77)*-2*-5)\/sqrt(11))**2)*-6.\nAnswer: -154614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z - 24. Give m(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.280101 from 14.4.\nAnswer: 16.680101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 241*m - 467. Let k be o(2). Solve 2*h - 5*g = -15, -11 = 2*h - 16*g + k*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 919 a factor of 225608986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -306 - 155\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532 is divided by (6\/432*12)\/(-4*(-2)\/6288).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 2, 4 in decreasing order.\nAnswer: 13, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/(-36))\/((-1)\/(-12)). What is the derivative of -f*n**4 - 6*n**4 + 6499 - 6472 wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 5:54 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/434 and 1\/3844.\nAnswer: 26908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -0.041345.\nAnswer: -0.341345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 i when four letters picked without replacement from euuiujiiqeeuuqiue?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 8304 = -3*n + 8286, -8*n - 3*b - 29 - 2 = -0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47764, 22, 0.4, 0 in descending order.\nAnswer: 22, 0.4, 0, -47764","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 922ccc + -6?\nAnswer: 922cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*64\/(-104)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -14*p**3 + 21*p**2 - 30*p + 19. Is v(-11) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 170288, 170183, 170078?\n\"Answer: -105*p + 170393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/166)\/((385\/462)\/((-10)\/9)).\nAnswer: -2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1546 divided by 4?\nAnswer: 773\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 14. Solve n*a + 0*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13058*i**2 + 7050*i**2 + 7540*i**2.\nAnswer: 27648*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 6. Suppose 5*u - 40 = 2*u - k*v, 8 = -2*v. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 9*d**2 + 18*d**4 - 11*d**2 + 18*d**2 in the form l*d**3 + s*d + p + j*d**4 + t*d**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -140 and 193.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 8*r - 5. Suppose 0 = -2*h + 3*h. Suppose h = -3*g - 14 + 41. Let d be 30\/g*36\/20. Give c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9504283?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2463, -117 in descending order.\nAnswer: -6, -117, -2463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 7494 + 7497 = 2*x, 0 = -3*x - 5*a - 13 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 2650.028.\nAnswer: 79.50084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1 + -12 + 37 + 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 85*j**2 - 937*j + 73. Let a be v(72). Put 7, 1\/3, -3, 2\/3, a in descending order.\nAnswer: 7, a, 2\/3, 1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 0*y)*(y - 3*y + 4*y) + (181*y + 2 - 2)*(-9 + 10*y + 9) + ((-3*y + 2*y + 0*y)*(0 - 1 - 1) + 0 + 0 + 2*y)*(-4*y - 4*y + 6*y).\nAnswer: 1798*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {j: 2, p: 1, s: 3, u: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 263 + -148. Let j = h + -19. What is the highest common factor of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 10:02 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b - 15. Let f(t) = 3*t + 8. Give 7*f(s) + 4*j(s).\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -p + 3*p - t, p + t - 4 = 0. Let x = p - -2. Calculate the least common multiple of 6 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(-429)\/(-2574)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -5\/6*m**3 + 5\/6*m**4 - 1\/4*m**5 + 18*m + 0*m**2 + 0. Factor p(h).\nAnswer: -5*h*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + (-1 + sqrt(2448) - sqrt(2448))*2 + ((sqrt(2448)*2 + sqrt(2448))*5 - (1 + sqrt(2448))*5))*-3)**2.\nAnswer: -51840*sqrt(17) + 8814096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 22, -11, 2, -128 in descending order.\nAnswer: 22, 2, -3, -11, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-80)\/(-15))*(1 - 3).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 1, h: 6, p: 1, l: 3, i: 3}. What is prob of sequence mhhm?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331) - -2*sqrt(1331))*-2 - -6*(sqrt(891) + -2))**2 + 2 + -4.\nAnswer: -3144*sqrt(11) + 188913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8817581173.\nAnswer: 8817581173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456686 is divided by 2761.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 559124177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**2 + 21*f + 3. Let l be n(5). Differentiate 0*r**2 - 9 - 35*r**2 - l + 0 wrt r.\nAnswer: -70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4387, 9064, 13741, 18418, 23095, 27772?\n\"Answer: 4677*g - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/7)\/c**(-1))**2)**(-34))**(-2\/3) assuming c is positive.\nAnswer: c**(680\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7813391?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2668?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, k: 1, t: 1, j: 2, a: 1, x: 2}. What is prob of picking 2 j?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - -1.2. Let r(c) = -4*c**2 + 5*c + 4. Let u be r(-1). What is the nearest to t in 2, 2\/13, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 72*k**2 - 1728*k + 13824.\nAnswer: -(k - 24)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.79171 rounded to 2 decimal places?\nAnswer: -3.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -47*y - 8. What is o(-1)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700))**2 + -3 - -5*(sqrt(7) + (sqrt(28)\/sqrt(4) + sqrt(7))**2))*-4.\nAnswer: -3348 - 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.5 - -7. Let m = -0.08 - -0.48. Which is the third biggest value? (a) f (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -4875478?\nAnswer: 24377390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f*g**2*p**3 + 4*f*g + f*p**3 - 2*g**2*p**2 - 121*g*p**3 - 2*p**3 wrt f?\nAnswer: 5*g**2*p**3 + 4*g + p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 7*k - 6189. Let h(i) = -16*i + 12393. Determine -3*h(w) - 7*u(w).\nAnswer: -w + 6144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452085 is divided by 546.\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-2)*-2*(22\/((-128480)\/20))\/1?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 238\/(-35) - (-5 - -3). Let n = -34 - -103\/3. Is n at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 29*q**3 - 19*q + 8. Let c(o) = -19*o**3 + 13*o - 5. Let y(x) = -8*c(x) - 5*g(x). What is the second derivative of y(h) wrt h?\nAnswer: 42*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -103, -189, -309, -475, -699?\nAnswer: -993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 2*g**2 + g**2 + 4*g**2. Let w be 3\/(-9)*-1*6. Let o(v) = -w*v + 2*v - v. Give o(y(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from hhlhhhhhhlhl.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:00 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 + 2265080*p**2 - 13590615*p + 20385990.\nAnswer: 5*(p - 3)**2*(p + 453022)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*((sqrt(297)*2)\/(sqrt(55)\/(-2*sqrt(5))) - (5 + sqrt(27)\/(sqrt(9) + sqrt(45)\/(sqrt(10)\/sqrt(2) + sqrt(5)) + sqrt(9)))**2).\nAnswer: -192*sqrt(3) - 7644\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 202*s + 18*s - 33*s + (0 + 1 + 0)*(2*s - 5*s + 5*s) - 24*s + 23 - 23 - 4*s + 4*s - s to b*s + n and give b.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by 3.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 300762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1488 = 80*x - 112 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.168 + -781.55\nAnswer: -781.718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 4:56 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010001 + -101?\nAnswer: 10100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*a**2 + 7*a**2 + 7*a - 63*a**2 + 6*a - 9*a**2 as b + y*a + g*a**2 and give g.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7530?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100864.\nAnswer: 2, 103, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78701324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (8 - -4) + -3 - (2 + -10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.75 + -0.765. Let r = a + 0.2. Round r to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-192)*(-3 - (-77)\/29). Let t = -2\/29 - s. Which is the second biggest value? (a) t (b) -5 (c) 0.1 (d) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 - 22.1924530338\nAnswer: -93.1924530338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + (-2378)\/(-8))\/(12\/48) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.40762 to one dp.\nAnswer: 63.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16b3960 + 1?\nAnswer: -16b395d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/28? (a) -3 (b) 2\/9 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -2. Suppose 5*n - 2*l - 17 = p, -3*l + 4 = -2*l. Is n even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91 = -3*b - 25. Let l be -6*b\/(-33) + (-76)\/10. Is l at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 - o**2 + 0*o**2)*(-2*o + 3*o + 2*o - 2*o - o + 2*o + (2*o - 2 + 2)*(0 + 1 - 3) + 2*o + 0 + 0 - 5*o + o + 2*o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52124714, -52124715, -52124716, -52124717, -52124718, -52124719?\nAnswer: -52124720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 480630622?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5290 and 0.33125692.\nAnswer: -5289.66874308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29? (a) -1 (b) 0.04 (c) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 83412813, 83412811, 83412809?\n\"Answer: -2*q + 83412815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, -21, -83, -201, -393?\n\"Answer: -3*l**3 - l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + g + 25, 0 = -5*y - g + 30 - 10. Let u be 2 + y + (0 - 1). Suppose -6 = 4*b - 22. Sort b, u, -5, -3 in ascending order.\nAnswer: -5, -3, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 l when two letters picked without replacement from pgefklgk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -7, -12, -19, -28, -39?\n\"Answer: -b**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41949.\nAnswer: 3, 59, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + a**2 - 1. Let z(k) = -5 - k**2 - 5*k**2 + 0*k + 20*k**3 + 5*k**2 + 6 - k. Let q(f) = -2*u(f) - z(f). What is q(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -5*g**3 + g**2 + g + 10*g**3 - 4*g**3 - 1. Let x(u) = -4*u**3 - 3*u**2 - 3*u + 4. What is -2*x(a) - 6*y(a)?\nAnswer: 2*a**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -29\/2, 1, 0.1, -0.8, -0.127?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181 a factor of 23258952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 2 = -4*c, 26 = 2*c - 4*z + 10. Let r = 0.4 + 0.6. What is the third smallest value in c, 2\/5, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - 0) + (1 - -12). Let k(s) = s**3 - 2*s**2 - s + 2. Let f be k(2). Let b be 0*(f + -1)*(-1)\/(-2). Solve b = -p - 4*p - v for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**2 + 3*h + 4. Let s be (-24)\/18*3\/(-2). Let z(p) = -189*p**2 - p + 188*p**s - 2 - 2 + 3. What is -t(r) - 3*z(r)?\nAnswer: -3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, a: 3}. What is prob of picking 3 a and 1 n?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39 - -43. Solve -q = 20*t - 16*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjnlnlnnjrnjn. What is prob of picking 1 n and 1 l?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*m + 3*q - 5, -3*q - 46 = -5*m. Solve w - m + 2 = j, w = -j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87d7ed (base 15) to base 2.\nAnswer: 11000101100110100101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3673.721 kilometers?\nAnswer: 3673721000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156915*k - 5 - 6 + 11.\nAnswer: 156915*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1156 - -2245\/2. Let q = -9851\/10 - -982. What is the common denominator of y and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23928 and 384?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -415\/4656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/12 in -9, -1\/3, -35?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36, 73, 142, 249, 400, 601, 858, 1177?\n\"Answer: t**3 + 10*t**2 + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26970?\nAnswer: 2, 3, 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.02 + -0.12. Which is bigger: n or -1\/2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 290475158.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/13 in 4, 1, 2, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 192 and 4542168?\nAnswer: 36337344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1939 - 4858. Let c = 3079.7 + z. What is c rounded to the nearest ten?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-2\/7))\/k)**(-45\/4)\/((k**(2\/7)\/k*k)\/k)**46*k**(1\/4)\/k**(-1\/6)*(k**(-2\/5))**(-1\/25) assuming k is positive.\nAnswer: k**(383293\/10500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7451 is divided by 207?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 + 2*y**2 - y - 2. Let s be h(2). Suppose -2*z - s = -4*z + c, 0 = 5*z + 5*c - 80. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 410\/35 + 9 - 4\/(-14). Which is bigger: 102\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0126 + -22.7126. Let m = 27.52 + n. What is m rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15085, 4 in decreasing order.\nAnswer: 4, -2, -15085","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 409441375, 409441373, 409441371?\nAnswer: 409441369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {u: 3, x: 2, d: 7, w: 4, b: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86722 - 5?\nAnswer: -86727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1442028 litres in millilitres?\nAnswer: 144.2028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 113930 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 324 divide 416563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2 + 5*(sqrt(304) + 4*sqrt(304) + sqrt(304)) - 3*(5 + sqrt(304) + -5)))**2.\nAnswer: -6912*sqrt(19) + 3545920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*v**3 + 2 + (-v**2 + v**2 + v**2)*(v + 2*v - v) + 2*v**3 + 0*v + 0*v + 10 - 10 + 3*v**3 + 3*v**3 + 0*v**3 - 5*v**3 + (-1 + 1 + 2*v**2)*(v - 1 + 1).\nAnswer: 9*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-3)*((-125)\/60)\/((-260)\/936)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + -1. Let j = -8 - h. Let g = -0.11 - -0.01. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 63*o**2 + 14843*o - 25367651.\nAnswer: 126*o + 14843","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*f + 3, 4*l = -2*f + 6*f + 8. Let a = l + 3. Differentiate 0*c + 8*c - 4 - a*c with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, y: 1, s: 3, d: 6}. Give prob of picking 1 w and 1 s.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-108)\/(-9))*12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106485 or -1171322\/11?\nAnswer: -1171322\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 116*s**2 - 804*s - 1260.\nAnswer: 4*(s - 35)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51\/2 + -26. Let a = 11 + -2. Suppose -296*f + 30 = -290*f. What is the nearest to 0 in f, d, a?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935012043 a multiple of 5781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -0*i + i, 0 = 2*p - 4*i - 14. Suppose -p*a + 486 = -35*n + 36*n, -4*a + 648 = -2*n. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 660*w - 664*w - 15223 = 0, w = 5*q - 25383. What are the prime factors of q?\nAnswer: 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 87214\/28 - 0. Let w = k + -3110. What is the common denominator of w and -5\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 + 52 - (1 - 7)) + (-5 - (8 - 12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/8*(-10)\/(-15)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 151090075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**5\/17 - 26*v**4\/17 - 50*v**3\/17 + 530*v**2\/17 + 1488*v\/17 + 936\/17 = 0. What is v?\nAnswer: -3, -2, -1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17215765.\nAnswer: 5, 7, 107, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/5763 and 10\/213.\nAnswer: 409173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12336 + 3?\nAnswer: 12342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 2*o - 5. Let c be (1 - 22\/6)*(-72)\/(-48). Give t(c).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120 (base 16) to base 6.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8*r**2 - 191*r - 13. Calculate i(23).\nAnswer: -174","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r - 4. Let t = 7 + -2. Let l = -5 + t. Let y be (9 + -2 - l) + -1. Let j(u) = -20*u - 11. Give y*j(d) - 17*x(d).\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.02998 + 2.97002. Let o = 11.7 - 12. Let p = 0.6 + o. Sort -1\/12, a, 4, p.\nAnswer: -1\/12, p, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 + -1.8. Let v = -1 - -1.03. Let p = 3.03 - v. Which is the nearest to l? (a) 4\/7 (b) p (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/6 and ((-913)\/(-6) - (-2)\/(-3))\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 99\/66*(-3)\/(-6)*-56.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -6*b + 45. Let x be 172\/6*(-18)\/(-4). Let d = 201 - x. What is the greatest common factor of d and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2931*w + 2940*w - 39177. Calculate the remainder when w is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646493817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1479*u**2 - 11013*u**3 - 740*u**2 - 5045*u**3 - 739*u**2.\nAnswer: -16058*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.359 (b) 420\/13 (c) 6\/17 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1781173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2759 - 5517\/2. Factor -c*f**2 - 1\/2 + f.\nAnswer: -(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 + b**2 + 2*b**5 + 3*b**5 - b**5 - 6*b**5 + (b**3 - b**3 - 2*b**3)*(0*b**2 + 0*b**2 + b**2).\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -4*r**2 + 3*r + 4. Let y(v) = -9*v**2 + 7*v + 9. Suppose -3*m - 3 = 3*s + 33, 3*m = -5*s - 36. Let u = m - -19. Give u*l(k) - 3*y(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/17, 1.5, -1\/6, 10, 0.7, 9?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Let n be (w - 2)\/(9\/(-18)). Factor 4*m**3 - 7*m**3 - n*m + 7*m.\nAnswer: -3*m*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from spsvpssssvpssss?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 7 + 3. Let l = -4 - -6. Solve -l*s - g = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 + 1632\/(-84))\/(18\/(-28)). Suppose -6*h + 11*h - 4*o = 26, 6 = h - o. Factor 140\/3*t + c*t**h + 4\/3*t**3 + 100\/3.\nAnswer: 4*(t + 1)*(t + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f + 65*f + 78*f + 251*f - 163*f.\nAnswer: 292*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21335.4*-5.82.\nAnswer: 124172.028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 1. Let g(r) = -10*r - 5. Let v(a) = -19*a - 9. Let k(p) = -11*g(p) + 6*v(p). Let b(u) = 4*k(u) + 9*z(u). Calculate b(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 140304 + -44?\nAnswer: 140210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 123573323 to the power of 1\/3, to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 295?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 324 in 323, 2\/7, 26?\nAnswer: 323","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*i - 69 + 102, 3*i + 5*o - 57 = 0. Sort -3, -2, i, 5, 301.\nAnswer: -3, -2, i, 5, 301","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 3*h + 99. Let u be h\/(-15) - (-8)\/10. What is the nearest to 0 in 4, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112\/24108*1134\/108 - ((-1800)\/82 + -1)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2. Let p(d) = -5*d**2 + 3*d. Let c(u) = -339*u - 3057. Let s be c(-9). What is s*a(k) + p(k)?\nAnswer: k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008425653 to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*z - 52 = -55*z. Let o = 0.044 - 42.044. Let j = o + 38. What is the smallest value in j, z, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 0 + 6 = 0. Let z be (1\/f)\/((-2)\/4). Suppose -x - 10 = -p + z, 4*p + 3*x = 9. Solve 0 = 2*s + t - p, -s + 3 = 3*t + 2*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1019 is divided by 506.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x**2 - 5*x - 56. Let y be w(-6). Let d = y + 152. What is the smallest common multiple of 282 and d?\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.533 - -2.533. Which is greater: s or -895?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*r + 22 - 2 + 3 - 28 + 5.\nAnswer: -27*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 + 68*h**2 + 256*h + 192.\nAnswer: 4*(h + 1)*(h + 4)*(h + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Suppose 2 = 2*q - b. Let l = -0.4 + 0.3. Sort l, -4, q in decreasing order.\nAnswer: q, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -515\/2 + 1031\/4. Solve 0 + 0*r + 3\/4*r**2 + o*r**3 = 0 for r.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 1, h: 3, u: 2, v: 4, q: 1}. Give prob of sequence xqm.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/18 - (-2444)\/117. What is the second derivative of 4*u**2 - 13*u**2 - a*u**2 - 1 + u**3 + 17*u wrt u?\nAnswer: 6*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11313221320 (base 4) in base 10?\nAnswer: -1538680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -111100011100?\nAnswer: -111100011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*v - 16, 3*o + 3*v - 2 = 16. Suppose -47 = -6*r + o. Calculate the highest common divisor of 81 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (84\/32)\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 145227700 to the nearest one hundred thousand.\nAnswer: 145200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -49\/5 (b) 71 (c) 3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 2, -158848, -5 in ascending order.\nAnswer: -158848, -5, 2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254650, 508271, 760860, 1012417, 1262942?\nAnswer: 1512435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**3\/3 + 9*n**2\/2 - 8*n - 2. Let b be a(7). Suppose -2*y = -b*y + 44. 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 next in -331, -333, -337, -343?\nAnswer: -351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -12*j + 2. Let x(c) be the second derivative of 6*c**3 - 3*c**2 - 2267*c. Give 11*t(n) + 4*x(n).\nAnswer: 12*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46 (base 16) to base 6.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338691 is divided by 4170.\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/5 + 2*l**3\/5 + 2*l**2 + 6*l\/5.\nAnswer: -2*l*(l - 3)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4509376785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4) + (-645)\/(-12). Let q be (-4)\/10 - 2960\/(-25) - 2. Let r = q - y. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -181766024 divided by -45441506?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*f + 212 = 0, -u + 4*u + 2*f = 159. What are the prime factors of u?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9 or -7?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzozozzmmmzoozo. Give prob of picking 2 o and 2 m.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of k**7\/15 + k**4\/12 + 11*k**3\/3 - 31*k**2. Find the first derivative of x(u) wrt u.\nAnswer: 56*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oxxxoooxoxxox. What is prob of sequence xxx?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Suppose 0 = -d*t + 3*q - 10, -t - 4*q - 5 + 3 = 0. Let v = 0.04 - -2.96. What is the closest to 0.1 in t, v, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 - 32*r**2 - 68*r - 212. Give j(-30).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19969477799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -902, -873, -844, -815, -786?\nAnswer: -757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-54))\/(1\/(-3)). Is 0 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5671, 5690, 5721, 5764, 5819, 5886, 5965?\nAnswer: 6056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -1071930168539.7.\nAnswer: -1071930168543.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h + 2*h - 26 = 0. Solve 3*z + 20 = -z - b, 3*b = -h*z - 10 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(sqrt(77) - 5*(sqrt(77) + (-1*sqrt(77) - sqrt(77)))))\/((1*sqrt(2695) - sqrt(55))\/((sqrt(5) - sqrt(180)\/sqrt(4)) + sqrt(5) - sqrt(5))).\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lo when two letters picked without replacement from rruocrpppulr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 3*j**2 - 4*j. Let v be p(-4). Let s(f) = -f**2 + 2. What is the lowest common multiple of s(v) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(30)*-2 + sqrt(30) + sqrt(30)))\/(sqrt(540)\/sqrt(6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - v - 3 = 2*n, -2*n + 2*v = 0. Let p = -0.5 - -0.43. Let d = p + -1.93. Is n at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*o - 3*y - 107 = 165*o, 2*o = -348*y - 12530 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 4*c**2 - 3 + 7\/2*c**4 - 32\/3*c**3 + 0*c. Factor t(u).\nAnswer: 2*u*(u - 2)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of h**2*o - 858986*h**2*z**3 + h**2*z**2 + 121*h*o**2*z**3 - 2*h*o**2*z**2 + 56*h*o - 16*o*z**2 - 4*z - 21 wrt z?\nAnswer: -5153916*h**2 + 726*h*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 34\/9 in 1\/110, 4, 13, 4\/7, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 8) in base 9?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 119*s**5 + s**3 - 158*s**2 wrt s.\nAnswer: 7140*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104\/7 + 1366\/91. Put n, -10, -4 in descending order.\nAnswer: n, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78929817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168*u - 213*u = -585. Let z(v) = -7*v + 7. Let j(d) = -6*d + 7. Let t(f) = -6*j(f) + 5*z(f). Give t(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10766 + 3589 + 3588 + 68*d**2 + 3589.\nAnswer: 68*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 1. Suppose 3*o - 7*o + 4 = 0. Let t be g(o). Let n be 6 - 6\/(t\/1). Solve 11 = -2*z + 5*a, 0 = 3*z - 4*a + n - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 8*c**2 + 20*c - 5. Let z(f) = f**2 + f - 1. Suppose 0 = 4*r - 2*o - 6 - 6, 2*r + 2 = -o. Let w(i) = r*g(i) - 5*z(i). Factor w(a).\nAnswer: 3*a*(a + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = z - 8*x - 1, -35*z = -39*z - 2*x + 70 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 504.1178 to 0 dps.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 3) + (-1665)\/22. Let j = 147\/2 + q. Let y = 0.1 + 0.9. What is the closest to y in j, -2, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 10) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + 5. Let l = y - 5. Let h(j) = 6*j + 2. Is h(l) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -83, -165, -245, -323, -399?\n\"Answer: m**2 - 85*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 987\/4 != -344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 7, -5 in descending order.\nAnswer: 7, 5, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -25*d**2 - 2696*d - 10380. What is r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2133825 divided by -69?\nAnswer: 30925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 6*m - 3. Let h be z(-6). Let i = 2 - h. Calculate the smallest common multiple of i + (-2*1 - -4) and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17.92 - 19.7. Let x = l + 1.7800218. What is x rounded to six decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j**3 - 2*j + 2*j**3. Calculate the smallest common multiple of w(2) and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 7. Let h be (-2)\/((-2 - -4)\/d). Suppose -h = q - 43. What are the prime factors of q?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 19344.\nAnswer: 1934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x**3 - 3*x**2 + 2*x - 3. Let g be b(-4). Let a = -127 + g. What is the greatest common divisor of a and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-42.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4970691 (base 11) to base 13\nAnswer: -1a36259","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12.8 - 21.4. Let z = j - -8.3. Which is the nearest to -0.3? (a) -0.4 (b) -1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2762359 smaller than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 14*y - 10 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/119)\/(336\/(-204))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 70*u**2 + 264*u + 6. Let f be g(-66). Is f at most as big as 219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 114, 15, 40, 3, 4 in decreasing order.\nAnswer: 114, 40, 15, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 33 + 403\/248*-8\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let u(d) = 5*d**2 - 2. Suppose -4*t = 4*k - 60, 5*k + 2*t = k + 66. Calculate the lowest common multiple of k and u(q).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(7)*3 + 4).\nAnswer: -24*sqrt(7) - 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-22)*b)\/b**37 assuming b is positive.\nAnswer: b**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -38, 0, -3, -1\/3, -1\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 3, -10 in ascending order.\nAnswer: -10, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 0*g - g)*(15 + 0*g**2 - 13 + g**2) as v*g**2 + q*g**3 + j + f*g and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 18833.76 decades?\nAnswer: 188.3376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*d = 0, -5*d + 7 + 43 = -5*x. Let q(w) = w**2 + 1. Let t(h) = -2*h**2 + h - 2. What is x*q(y) - 2*t(y)?\nAnswer: -y**2 - 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n. Let u be y(-5). Let x = u + 0. Suppose 3*a + 0*a = -9. What is the second smallest value in x, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1cb1dc78 + 5?\nAnswer: -1cb1dc73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 949260911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 8. Let d be c(6). Let k(t) be the first derivative of t**2 - t**2 + 3 - d*t**2. Let v(j) = -2*j**2. Give k(v(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 35*k + 132. Let w be g(32). Calculate the highest common divisor of w and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1263.843647 rounded to the nearest integer?\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r**2 + 407*r - 1609. Calculate d(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -68976 divided by -2\nAnswer: 34488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8*w + 3 - w - 3*w + 9*w. What is j(6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3)\/2 - (-195)\/(-26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3\/3 - 4532*b**2\/3 - 63154*b\/3 - 220696\/3.\nAnswer: -2*(b + 7)**2*(b + 2252)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or 18?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6952\/2493 + 3\/277. What is the common denominator of 20\/39 and g?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32619 and 1743?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6727294 nanometers in meters?\nAnswer: 0.0000000006727294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2558 and 329809?\nAnswer: 332367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 6. Suppose -k*d + d = -16. Let l = 161 - 152. Calculate the lowest common multiple of l and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 2, -5, 13, 0 in increasing order.\nAnswer: -41, -5, 0, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*m + 227 = -122, y + 4*m - 83 = 0. Suppose 0 = 3*w + 8 - y. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8936014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 10:33 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -13) + -565 + 544 + (-1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(52)\/sqrt(100))*-6 + -1)**2.\nAnswer: 228*sqrt(13)\/5 + 9493\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*k = -177*k + 32 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**1\/((k*k**1\/k*k)\/k))**42 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3. Let r be i(2). Let b(s) = s - 1. Let a be b(r). Let o = -9 + a. Sort -3, o, 3 in ascending order.\nAnswer: -3, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -50*f**3 - 2*f**2 - f. What is the lowest common multiple of 7 and h(-1)?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1862 and 39482.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g + 26. Let v = -6 - -9. Suppose 21 + v = 3*j. What is the remainder when g is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 73857415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**3 - 27*d**2 + 37*d - 222. Let j be z(-35). Let p = 158992 + j. Round p to the nearest ten thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/35252799 and 47\/33.\nAnswer: 387780789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 107660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 2*l - 94905, -64*l - 31649 = -z - 60*l. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246956908 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1\/(x\/(x*x*x**6)))\/(x**(1\/2)*x\/(x\/(((x\/x**6)\/x)\/x))))\/(x**(3\/5)*x*x\/(x\/(x*x**(3\/7)*x))*x**(2\/7)*x\/(x\/(x**(2\/5)\/x))*x) assuming x is positive.\nAnswer: x**(137\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**0*d**(-1\/5))**(3\/8)*(((d*d*(d**0\/d)\/d*d)\/d)\/d)**(15\/8)\/(d*(d*d**(-1\/4))\/d)**(-30) assuming d is positive.\nAnswer: d**(837\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.35977.\nAnswer: 0.071954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.111884 micrograms in milligrams?\nAnswer: 0.001111884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -335.8 - -336. Which is greater: -6\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2033\/2261 + (-15)\/35. Let d = 1169 - 1166. Solve -6\/17*s**4 + 0 - q*s**d + 4\/17*s + 2\/17*s**2 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-14)*(-23)\/((-621)\/(-36)). What is the smallest value in -3\/5, 1, 4, w?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of -g**4\/3 + 3*g**3\/2 - g**2 - 6*g. Let o(k) = 2*k**2 - 4*k + 1. Give 7*o(y) + 3*z(y).\nAnswer: 2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 5*w**2 - 3*w - 4. Let u be a(3). Suppose -u*q - 1 = -4*y, -4*q - 10 + 42 = 5*y. Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 414*t - 417*t - 4, -6*t + 12 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, h: 1, k: 2, i: 1, q: 2}. What is prob of picking 1 k and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 374 - 404 = 5*w, 0 = w - 5*j - 22 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 580 = 4*i + 556 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 261005, 261435, 261865, 262295, 262725, 263155?\nAnswer: 263585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2078165 + 51803767. Let p = i + -49725588.9999963. Let j = p + -13. Round j to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1672678978 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9938, -9929, -9918, -9905, -9890, -9873, -9854?\n\"Answer: i**2 + 6*i - 9945","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-28)\/24)\/(2\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -75 + 121. Let h be (-3)\/(-2)*4\/3. Suppose 0 = -z - d + 8, h*z - 7*z + d + k = 0. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8257637?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 10*q = -32. Solve 2*a + 4*w - 3 = 1, q*a = 3*w - 25 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 7*v**2 + 67*v - 198. Is q(-21) a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3907*d**4 - 2*d**3 + 90*d**2 - 14200591*d wrt d?\nAnswer: -46884*d**2 - 12*d + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 281605?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2911, -2913, -2915?\n\"Answer: -2*v - 2909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - m**2 + 3*m**2)*(-3 - 2 + 8)*(-7 + 4 + 2)*(2 - 2 + m + (5 - 2 - 1)*(-1 + 1 - m)).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/24*(-114)\/57\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 849288827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4282?\nAnswer: 2, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 12*h - 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(4\/11)))\/p**11)\/(p*p\/(p\/(p*((p\/(p**(-2\/11)\/p))\/p)\/p)*p)*p**(-3)\/p) assuming p is positive.\nAnswer: p**(-94\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 6*o + 2. Calculate z(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3*sqrt(6)\/sqrt(3) - (sqrt(2)*-2 + 5)) + -6*((-5*sqrt(2)*2 - sqrt(2)) + (sqrt(8) - sqrt(32))))**2.\nAnswer: -3920*sqrt(2) + 19608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:30 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -58, -121, -198, -283, -370?\n\"Answer: r**3 - 16*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 39*u**2 + 12*u - 1344. Let n be c(-35). Calculate the highest common factor of 28 and n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15212 + -8307. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let c(z) = 10*z**2 + 5*z + 5. Let n(b) = -8*b - 2 - 16*b**2 + b**2 - 6. Let v(w) = -8*c(w) - 5*n(w). Determine y(v(p)).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 809*0.2162.\nAnswer: 174.9058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 4*a + 6. Let v be j(-6). Let p = 87 - v. Let x(m) = -m**2 + 10*m - 6. Let l be x(7). Calculate the highest common divisor of p and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96*a + 475*a + 200*a - 197*a.\nAnswer: 574*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16822991 is divided by 1051436.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -5 - (-3 - -2). Let g(q) = q**3 - 4*q**2 - q. What is the units digit of g(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317536 (base 10) to base 13.\nAnswer: b16bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 396826453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.009.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-4 + -2*sqrt(13) + 1)*-5 + (0 + (sqrt(1053) - (sqrt(1053) - (-2*sqrt(1053) + -1))))**2.\nAnswer: 46*sqrt(13) + 4228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 8:58 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -190069072.3189415 - 31.6810585. Let i = p + 190069114.60000118. Let o = i + -10.6. Round o to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -11. Let a(t) = 3*t + 4. Let g(d) = 0 + 8*d + 6 + 5. Let k(y) = u*g(y) - 11*a(y). Let w(b) = -b**2. Give k(w(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 334.47 millilitres?\nAnswer: 0.33447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 4)*(w**3 - 2*w**3 - w**3) - 6*w**3 + 2*w**3 + 2*w**3 + 6*w**3 + 0*w**3 + 0*w**3 + (-w - 2*w - 5*w)*(-w**2 + 8*w**2 + w**2).\nAnswer: -62*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/20 - (-9)\/(-36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -18*i - 33. Let u be h(-10). Suppose 0 = -4*p - 185 - u. Let z = p - -127. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18741362.8453 + 18741220.045298491. Let t = -142.8 - h. What is t rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Suppose 5*s + 0*s = 25, f + m = s. Find the first derivative of -6 + a**4 + f + 3*a**4 + 2 wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 24*l. What is u(-1)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g**2 - g. Let y(h) = h. Let o be y(-1). Let q be n(o). Suppose -q = -3*u - 0*t + 4*t, -5*u + 43 = 2*t. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*g**2 + 253*g**2 + 542*g**2 + 875*g**2.\nAnswer: 1423*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -50b0b2 (base 12) in base 15?\nAnswer: -19e4a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 12*m = -12*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 424\/3 + -141. Let h(p) be the second derivative of -1\/6*p**4 + 3*p**2 - p + j*p**3 + 0. Let r(g) = g**2 - g - 1. Determine h(w) + 4*r(w).\nAnswer: 2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (91665758\/(-3624))\/((-1)\/12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = n - 10680004, 2*n + 2947189 = 2*t - 4172803. Round t to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - -15 - 23\/(460\/660).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 308*k - 301*k = 105. Solve -p + k = 4*r, 0*p - 12 = -4*p for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 <= 195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3 + 135 - 135 + m**2 + 0*m**3 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0, 8, -5, -6943, 1\/4 in increasing order.\nAnswer: -6943, -5, 0, 1\/4, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1905679 is divided by 1343.\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((300\/(-375))\/((-12)\/10))\/((-2)\/(-4))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 143\/(-124) + (-18)\/(-24). Let p be 24\/62*(-11)\/44. Let s = p + v. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 4\/15*z**5 - 10\/3*z**2 - 8\/3*z + 1\/3*z**4 - 4\/3*z**3 + 207. Factor r(b).\nAnswer: 4*(b - 2)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*m - 13 = 0, -2*q = 3*q + 4*m - 19. Suppose -3*y + q = -2*y. Let v = -3 + 5. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (-7 + 3 + -2). Suppose -c*w + 95 = -5*q, 4*w - 89 = 2*q - 23. Let i be 30\/7 + (-4)\/w. Solve l = -i*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 619846371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 10. List the prime factors of ((-2)\/a)\/(3\/(-414)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*t**2 - 15*t**2 + 9*t + 28*t**2 as w*t + d + n*t**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**3 - g**3 + 2*g**3 - 2*g**2 + 3 to the form r + p*g**2 + m*g + l*g**3 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + t = -4*j + 9, -t = 3*j - 12. Solve -j*h = 2*w + 11, -9 = 3*h - 6*h + 3*w for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2827620479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 4*c = -5*k, 0 = 5*c - 4*c - 3*k + 17 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 9:29 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3302\/1016*(-8)\/(-2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1271 or -1272?\nAnswer: -1271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**5\/10 - 13*g**4\/14 + 6*g**3\/7 - 35*g - 5. Suppose k(c) = 0. What is c?\nAnswer: -6, 0, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 8*i + 5*i - i + (-2*i + 3*i - 3*i)*(-1 + 5 - 3) - 4*i - 4 + 4 + (-2*i - i + 4*i)*(7 - 2 - 1) + 2*i + 2*i - 5*i.\nAnswer: 9*i - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231210.\nAnswer: 2, 5, 123121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18.7 + 18.6. What is the closest to -1\/4 in 1\/3, 25, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 174, -3\/5, -4\/3, 3.\nAnswer: -4\/3, -3\/5, 3, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8*1 + -1*2. Let i be ((-36)\/10)\/(-3)*(-5 + 0). Let r(m) = m**3 + 9*m**2 + 12*m - 12. Let h be r(i). What is the highest common divisor of h and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 64*t**2 + 65*t**2 - 14*t**4 - 16*t**6 - 1 + t**5 + 41*t**4 - 127*t**2 - 520*t + 4*t**6 wrt t.\nAnswer: -1440*t**3 + 60*t**2 + 648*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 82\/12423*(-3)\/23. Is m not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53 - -65. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/825 + (-8)\/(-44)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6)*-3)**2 - -4*sqrt(153) - ((-1*sqrt(17)*3)**2 + -2 + sqrt(17) + 2*sqrt(17)).\nAnswer: 2 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 80042692 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**3\/2 + 2*b - 3. Let a(f) be the first derivative of u(f). Let q(o) = 2*o. Calculate q(a(l)).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14b6 - -2d?\nAnswer: -1487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 31.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from vvvvnfvvyyvvnyy.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*h - 5*p + 4, -2*h + 3*p = 8. What are the prime factors of 17 + h\/(-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -5532, -2\/5, 0.4, 0.1, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*z - 71*z + 104*z - 172*z = -6498 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -7*q**2 - 2*q + 6. Let y(w) = w**2 + w + 1. What is o(n) + 5*y(n)?\nAnswer: -2*n**2 + 3*n + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 11*g**3 + 20*g**2 - 3*g - 15. Let f(o) = 5*o**3 + 10*o**2 - 2*o - 7. Let b(v) = 13*f(v) - 6*n(v). Calculate b(9).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*n + n. Is 2\/n + 2 - -68 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -122838 divided by 1041.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j*u - 59*j + u - 43 with respect to j.\nAnswer: 2*u - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1494*y**5 - 10011804*y**4 + 16609058*y**3 - 6542136*y**2 - 53624*y = 0. What is y?\nAnswer: -6703, -2\/249, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 40614535?\nAnswer: 40614540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - m**2 + m + 2. Let x be p(0). Suppose 2*o = -y + 15, 0 = 4*o - 2*o - x*y - 24. Is o a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -141\/7 + 20. Suppose -6 = -2*m, 16 = 2*l - 6*l + 4*m. Which is the closest to 1? (a) -2 (b) s (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u - 4*u - u**2 + 2*u**2 - 3*u**2 - 3*u**2 + (-5*u**2 + 2*u**2 + u**2)*(0 + 3 - 2) + 2*u**2 + u**2 - 2*u**2 - 3*u**2 - 2*u**2 + 2*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157 a factor of 1784753124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*x + 3 - 18 = 0, -5*x = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 377 - 533. Let x be (-21)\/(-52) + 3\/(s\/8). Put -5, x, 3\/2, -1 in descending order.\nAnswer: 3\/2, x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -6*q - 2. Let j be t(-1). Suppose x = j*x - 210. Let -80*u**4 + x*u**4 + 6*u - u + 10*u**2 - 5*u**5 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*d + 58*d = 403899. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(2\/9)*y))**(-2\/49) assuming y is positive.\nAnswer: y**(22\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 9 + 9 = 0. Solve d*c = -15 - 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4743 and 2332988680.\nAnswer: 2332988680.4743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4884, -9781, -14678, -19575, -24472?\n\"Answer: -4897*t + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8)*-2*-4. Suppose s*o + 0*o = 16. Let v(a) = 630*a**2 - 24568*a - 70. Let g be v(39). What is the greatest common divisor of o and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -152\/7. Suppose 4*m - 3*x - 141 = m, 2*x = 6. Which is the second biggest value? (a) s (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 - 4*n - 4. Suppose -5*o = -6 - 19. Let x be v(o). Let h be 1\/1 + 2\/(-2). Does h = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*r - 56. Let p(c) = -3*c**2 - 118*c + 50. Let s be p(-41). Let k = 170 + s. What is the remainder when r is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117 - -20481. What are the prime factors of g?\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (52\/10)\/((-2)\/(-10)). Let i(x) = -170*x**3 - x**2 - 2*x - 1. Let b be i(-1). Suppose 5*y = b - 40. What is the highest common divisor of y and k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 808301, -2, -5, 9 in descending order.\nAnswer: 808301, 9, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 41652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 - -0.6. Let g = 3.3 + 0.7. Let x(l) = l**3 - 5*l**2 + 5*l - 5. Let p be x(4). Which is the nearest to 0? (a) w (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - x - 6. Let d be h(0). Let t = -4 - d. Which is the biggest value? (a) t (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 17*o + 7. Let q(y) = 8*y + 3. Calculate -3*n(z) + 7*q(z).\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-40)\/8)\/(-15))\/((-3)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y**3 + 0*y + 0*y + (10*y + 11*y - 8*y)*(2*y**2 - 3 + 3 + (-2 - y + 2)*(3 - 2*y - 3)) to s*y**2 + v + c*y + m*y**3 and give m.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 + -17aa?\nAnswer: -17a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (216\/(-36))\/((-1)\/(-10)). Sort -5, -3, c in decreasing order.\nAnswer: -3, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 5*s - 5*r, 0 = -3*r + 1 + 2. Let q be (2 + -1)\/(2\/28). Is 3 a factor of s\/7 - (-4)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 4:19 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 8 - 3 - 6)*(-5 + 2 + 4)*(674 - 34*o - 674) as m + r*o and give r.\nAnswer: -510","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(48))\/sqrt(6)*2)\/(sqrt(100) - (sqrt(100)*-5 - sqrt(100))*-5 - sqrt(100)))**2.\nAnswer: 2\/5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-6944)\/8))\/((-6)\/84)?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.47 + 2.87. Let x = 5.3 - 5. What is the third biggest value in 3, z, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 7*x - 4. Let c be r(-8). List the prime factors of 3*((-208)\/c + 1).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0256582274 to four dps.\nAnswer: -0.0257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/30*((-40)\/6)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6255 - 6254.8. Which is the closest to 2\/3? (a) 57 (b) -0.04 (c) 4 (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407, -811, -1211, -1607, -1999, -2387?\nAnswer: -2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = q, -6*q - 76719 = 8*s - 11*s - 76749 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -15. What is the greatest common factor of c and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 56996985 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -17892725 times -0.1?\nAnswer: 1789272.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 - -70. Let w be (6\/(-4))\/((-3)\/r). Suppose w + 20 = 4*j - 3*h, -40 = -4*j - 2*h. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -48.248 to 1 decimal place.\nAnswer: -48.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1100 = -200*f + 205*f. What is the greatest common factor of f and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 8*v**2 - 15*v - 18. Let x be a(10). Let f be 52\/(-78) - x\/(-3). Is (-147)\/(-1) + (f - 12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 39*d**2 - 3*d - 108. What is the remainder when 500 is divided by g(-39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91709 or 137\/3?\nAnswer: 137\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459 + 7*x - 459.\nAnswer: 7*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6398 a factor of 1912017767?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1974 divided by 2?\nAnswer: -987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 9) in base 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 1364.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*j + 4*y, 3*y = -4*j + 7 + 14. Suppose 3*p - 5*p = 0. Suppose p = 2*n - 0*n + 10. Put n, -4, j in increasing order.\nAnswer: n, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/(-9) + 2\/6. Suppose -a*q = 2*r - 30, 7*r - q - 57 = 2*r. Suppose -4*x + 0*x = -r. Solve 4*i = x + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = -3. Suppose -k - 2 = 4*t - 3, 3*k + f = -t. Is 15 a factor of 1 + (2 + k - -29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13219265054 - -34942.\nAnswer: -13219230112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-75)\/50)\/((-1)\/4 - -1). Let n be j\/(-13) + 2\/(-13). Solve 3*y + 11 = -4*v, n = -v - 2*v - 2*y - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 3*b + 3. Determine i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-460)\/570)\/((-20)\/6) and -12 + 2516\/119 + -5.\nAnswer: 665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 4 + 4)*(-1 + 1 - z) + (-1 + 2 + 1)*(-5*z**2 - 20 + 20) + (0*z + z - 3*z)*(2*z + 3*z + z).\nAnswer: -25*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452182936?\nAnswer: 2, 389, 145303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 3*j - 5*j)*(-2*j**2 + j**2 + 5*j**2 + j**4).\nAnswer: -5*j**5 - 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7 + ((-4993)\/644)\/((-775)\/100) + 6. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -137 + 136. Let n be (-3)\/(-30) + (-3)\/(-6). Sort 4, m, n, -1\/8.\nAnswer: m, -1\/8, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2297848925590.8 and 11?\nAnswer: 2297848925579.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -960*l + 35. Let r be b(12). Is 2\/(-4) + (r\/(-10) - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 5*v - 3*v)*(-v + v + 2*v**2) + 3*v**3 + 2*v**3 - 3*v**3 + 3*v**2 + v**3 - 3*v**2 + 5*v + 89*v**3 - 176*v**3 + 92*v**3.\nAnswer: 12*v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -356 and 188.\nAnswer: -66928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 436986543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 2*r**2 - r**2)*(5 + 1 + r**3 - 4) - 64*r**5 + 237*r**4 - 237*r**4.\nAnswer: -65*r**5 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, 6, 117\/2, 1, 5\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + -8b3?\nAnswer: -8b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiinniii. What is prob of picking 2 i and 2 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 + 6 + -13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2399303408.\nAnswer: 2, 5569, 26927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Let y(f) = 2*f**3 - 19*f**2 + 10*f - 6. Let k be y(9). Suppose 5*n + 4 = 2*p, -p + 6 = k*n - o*p. Sort 1, -4, n.\nAnswer: -4, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 695177, 1390448, 2085719, 2780990, 3476261, 4171532?\nAnswer: 4866803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2039 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 + 8*o - 7. Let a be i(8). Let b = -2 - a. Suppose 0 = b*s + 57826 + 39174. Round s to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a century in months?\nAnswer: 22200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 90.7 - 90.6. Which is the closest to -2? (a) -5 (b) -0.5 (c) j (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*k = -71190 - 1114316. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = -175. Let q = m + -10. Let k be (q\/4)\/((-2)\/(-105600)). What is k rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-581)\/(-415) + -2*3\/6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/2 - 1)\/((-6)\/88). Solve v*j**2 - 2*j + 24*j**4 - 22*j**3 - 26*j**4 - 4 + 8*j**4 = 0 for j.\nAnswer: -1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 584391 and 917.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*3.20720113\nAnswer: -1.282880452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 343*x - 2076. Give f(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/8, 45, -4\/11 in increasing order.\nAnswer: -3\/8, -4\/11, 5, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(-1 + 3 - 1) + 3 - 1 + 1)*(3*f + 7*f + 3*f)*(5*f**2 + 5*f**4 - 5*f**2).\nAnswer: 325*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70808317?\nAnswer: 70808317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*r**4*s - 342*r**4 + 12*r**3*s - 7*r**3 + 82*r**2*s - 3*r**2 + 5*r + 263*s + 5 wrt r?\nAnswer: -48*r*s - 8208*r + 72*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13584 + 13583.999987174. Round k to 7 decimal places.\nAnswer: -0.0000128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - -224966725.4.\nAnswer: 224966719.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 231983361.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821302 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 51431408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -14882197, -14882243, -14882289, -14882335, -14882381, -14882427?\n\"Answer: -46*g - 14882151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3400 + -3158. What is the greatest common factor of q and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 1 = d. Let w = -45 - -50. Suppose -5*r + w*x = -15, -x = -2*r + 2*x + 4. Solve -i = -2*m + 3*i + 4, -d = r*m + 4*i for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230ab34 (base 12) in base 2?\nAnswer: -11001101100110111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30666, -245477, -828534, -1963959, -3835874, -6628401, -10525662?\n\"Answer: -30687*z**3 - z**2 + z + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.5 - -1.4. Let x = -10.601 + 0.001. Let s = z - x. Which is the third smallest value? (a) s (b) 7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 2:41 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34 - -64. Let f = x + -24. Find the third derivative of 30*z**6 - 17*z**6 - 5*z**2 - 17*z**f wrt z.\nAnswer: -480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 25*m**2 + 237*m + 111. Determine u(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9515417 weeks to days.\nAnswer: 6.6607919","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/5 + (2 - 4). Let b(m) = -2*m - m - 5*m**2 + 3 - 2*m + 4*m**2. Determine b(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = 21*j + 5*b - 9, -2*b = -3*j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1638*z + 48 = -1637*z. Which is smaller: 25 or z?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(24) + sqrt(24) + sqrt(96)\/sqrt(4))\/sqrt(12) + 1) + 0 + (1 + sqrt(162) - sqrt(162)) + 4)**2.\nAnswer: 396*sqrt(2) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 0*b**3 + 2*b**3 - b**3. Let g(n) = 5*n**3 + 8*n**2 - n + 1. Let d(a) = g(a) - 4*h(a). List the prime factors of d(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 3. Let y be l(2). Calculate the remainder when 52 - (y + 4 + -3) is divided by (7\/3)\/(8\/48).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + u = -u - 2865, -8590 = -3*w + u. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 - -5. Suppose 5*x = 2*y - 1 - 2, -2*y - 3*x = -11. Let p = y + -2. Sort -1\/4, p, g in descending order.\nAnswer: p, g, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10 - 17) + 5)\/((-4)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2915912?\nAnswer: 2, 73, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 2}. What is prob of picking 1 h and 1 i?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**2 - 93*w + 1. Let g be x(-31). Solve m = 4*v - m + 6, -g = -4*v - 5*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2 + 0.1. Let w = l - 0.9. Let t be (2\/7)\/((-30)\/14). Put t, w, 2 in descending order.\nAnswer: 2, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -6*d**2. Suppose 12 = -u - 5*q, -2*u - 3*u + 2*q = -21. Suppose u + 12 = 3*g. Let w(h) = -3*h + g*h + h - 5*h. Calculate k(w(b)).\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.14, -1, 2\/3, 0.07, 16, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 475 - 389 = 2*o, 3*o - 6 = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48391?\nAnswer: 7, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-10))\/(16\/(-10)*(-92)\/368)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (3 + -12 + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + w = 2*p - 119200, -2*p = 3*w - 119200. Round p to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*f - 2411 = -642 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -93025*n**3\/3 - 837835*n**2 - 16473*n - 81 = 0.\nAnswer: -27, -3\/305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:11 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**6)*n**(-1\/13))\/((n*n**(-7))\/n)**(1\/16))**(-4\/3) assuming n is positive.\nAnswer: n**(-441\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 21860272 and 21860272 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6b96 - -5?\nAnswer: -6b91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(11\/4))**(-8\/3)\/(k**(-14)*k**5) assuming k is positive.\nAnswer: k**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203 = 52*g - 226 + 533. What is the second biggest value in 2, g, 51, 0.3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -44882, -19\/9, -2\/19 in descending order.\nAnswer: -2\/19, -19\/9, -44882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-20) - (-44)\/(-10). Let f be (2 + -3 + 3)*(-6)\/(-4). Put f, -0.4, -0.3, z in ascending order.\nAnswer: z, -0.4, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*p + p - 16 = 0. Let q(w) = -35767*w**3 - 9*w**2 - 3*w - 2. Is q(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, 1, -2, 2\/11, 0.037, -0.066?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 + 0.3. Let x be (-36)\/(-10) + (-12 - -8). Put n, x, 5 in ascending order.\nAnswer: n, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1218577 or -1218575?\nAnswer: -1218577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 5. Let m be s(-2). Suppose 3*l - 110 = c, -3*l + m*c + 100 = 4*c. What is the highest common divisor of l and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 521*t**3 - 710?\nAnswer: 1563*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z**2 + 10. Let j be i(0). Let r(h) = 8*h + 3. Is r(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mshmyziiz. Give prob of sequence si.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11971218 + -0.777.\nAnswer: -11971218.777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**4\/4 + 2*v**2. Let z(h) be the second derivative of -h**4\/12 - 14*h. Calculate z(w(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/3*3588\/8.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1173, -1186, -1209, -1248, -1309, -1398?\n\"Answer: -i**3 + i**2 - 9*i - 1164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-70)*10\/(-16).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195*s + 781 + 4599 = 733*s. Let f(d) = -d + 37. Give f(s).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*x - 47 - 85, 4*x = 3*z + 252. Suppose 14*i - 391 = -55. Calculate the greatest common factor of i and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s**3 + 2*s**2 + 2*s - 3. Suppose 4*l + 4 = 513*b - 518*b, 0 = l - 5*b + 1. Let u(z) = z**3 - z**2 + z + 1. What is l*r(j) - 2*u(j)?\nAnswer: j**3 - 4*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s**0\/s))*s*s*((s\/(s\/s**(-7\/4)))\/s*s)\/s)\/(s**(-9)*s*s**(3\/22)) assuming s is positive.\nAnswer: s**(269\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0012 - 203.0012. Let g = -213.2 - j. What is g rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + 17 - (8\/(-2))\/(-1). Suppose 4*q - 3*c - 73 = 0, -c - h*c = -5*q + 92. Calculate the remainder when 159 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2\/2 - 3759*k\/2 = 0. What is k?\nAnswer: 0, 1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 y when three letters picked without replacement from ylyvl.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 24004 (base 10) to base 9\nAnswer: 35831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13662 or -13943?\nAnswer: -13943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/85023 - -85363082\/425115. Put -1, 4\/9, a, 2 in descending order.\nAnswer: a, 2, 4\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/33 + (-178199998)\/(-11). Round m to the nearest one million.\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 144, 438, 1006, 1944, 3348, 5314, 7938?\nAnswer: 11316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 5 - (15 + -5 + 9 + -4)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3090\/103*(-752)\/(-705).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -2.4. Let b = 31 - 38.2. Let j = 7 + b. What is the third biggest value in k, j, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 5*c - 11 = 3*z, 1 = -2*z + 5*c. Let p be ((-2)\/z)\/((-2)\/(-114)). Suppose 0 = -4*w + 4*a + 32, w - 4*w = 4*a - p. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 150, 184, 240, 318, 418, 540?\n\"Answer: 11*l**2 + l + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 + 2*z - 3. Let r be f(1). Suppose -1046 - 209 = -r*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -71. Let f = 10.6 + -0.6. Let p = f + -3. Which is bigger: p or h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 168?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a milligram in micrograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffcfc. Give prob of picking 2 f and 1 c.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(19) + -1 - 1*sqrt(95)\/sqrt(5)) + 2)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/2 - 4735*k**3\/2 + 5607417*k**2\/2 - 5574285*k\/2 - 16808067 = 0.\nAnswer: -2, 3, 2367","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65275 and 2757589?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 k, and 1 w when four letters picked without replacement from wkslkwkwllklllsllll?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1615620 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 342.83, -2 in ascending order.\nAnswer: -2, 3, 342.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*i = -77757 - 130199. What is the third derivative of 42*d**2 - i*d + 7427*d + 55*d**4 + 2 wrt d?\nAnswer: 1320*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8 * 11.9931\nAnswer: 57.56688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**2 - 28023*n - 5823 wrt n?\nAnswer: 4*n - 28023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h**2 - 5*h + 1631. Let u(r) = 16*r**2 + 8*r - 3267. Calculate -5*p(j) - 3*u(j).\nAnswer: -3*j**2 + j + 1646","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -53, -75, -95, -113?\n\"Answer: f**2 - 25*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -8, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/73348 and -61\/16?\nAnswer: 293392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 488912671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wkwz when four letters picked without replacement from zwzkrzwz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-68 - -2)*2\/(-6). Let w be (0 - 0)\/(-2) + 1. Is b - 0\/(-1 - w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5192*z - 27567 - 34737 = 0 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 204053, 408103, 612153?\n\"Answer: 204050*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121913980?\nAnswer: 2, 5, 89, 68491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*i - i - 6*i + i**2 + 0*i as p*i + v*i**2 + s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, 1.67, 4 in ascending order.\nAnswer: -5, 1.67, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**4 - 8075*d**2 + d**4 + 7996*d**2)*(0*d + 2*d - 4*d).\nAnswer: -2*d**5 + 158*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-1065)\/2)*-2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 0, -8.\nAnswer: -8, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -5 (c) 96.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2 + 1 - k**3 + 2*k**3. Let f(y) be the third derivative of -7*y**6\/120 + 7*y**3\/6 + 3*y**2. Let a be 2\/(-5) - 7\/(-5). Determine a*f(j) + 5*v(j).\nAnswer: -2*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.50370748 rounded to two dps?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0*l**2 + 0 + 1\/12*l**4 + 1\/4*l**5 + 5*l + 0*l**3. What is the third derivative of w(z) wrt z?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7794.\nAnswer: 2, 3, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000023803577193 to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/2 - 249273*m**2\/2 + 2590973640*m - 80200451850.\nAnswer: 3*(m - 41530)**2*(m - 31)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + u**2 - 1. Let h(b) = -88*b**3 - 22*b**2 + 22. Calculate h(q) + 22*i(q).\nAnswer: -66*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49083049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -113. Let u = 210 - f. What is the greatest common divisor of u and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-9 + -2 + -2 - -6 - -7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 431985 or 16?\nAnswer: 431985","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101111111000101 - 1?\nAnswer: 101101111111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*375\/(-50)*(-3)\/((-45)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from iiiiippiiiiii?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -190*f**4 + 27*f - 6690.\nAnswer: -760*f**3 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + 29 - 31. Is j > 3\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i - 19. Suppose -3 = -2*j + 7. Suppose 28*u - 27*u = -17*u + 360. Suppose 3*k = 5*m + 63, j*m + u = -4*k - 36. Calculate s(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**2 - 4329*c - 1409136 = 0 for c.\nAnswer: -947, -496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*p**3 + 93*p - 93*p.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*v + 500*v + 7252 = 0 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 0 + 0*s + 1\/480*s**6 + 0*s**4 - 1\/80*s**5 + 1\/6*s**3 + 8*s**2. Factor i(x).\nAnswer: (x - 2)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let s(k) = 15*k**2 + 62*k + 22*k**2 + 27 - 55 + 28. What is m(s(b))?\nAnswer: 37*b**2 + 62*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and (-15)\/(-6)*16\/(24\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w - 12 = 0. Suppose -d - 295 = -4*x, -3*d + 11 = -w. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260404109?\nAnswer: 7, 37200587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1180 and 69\/73220062?\nAnswer: 732200620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 459 + -458.95954. Let z = s - 23.15046. Let c = -23 - z. What is c rounded to two dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*l + 10*l - 3*n + 285, l - n = 65. Calculate the remainder when 133 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 5 + 3*l**2 + 6 + 2 to q + i*l**2 + u*l and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -3) + -6 + 5 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3428?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 21\/(-14) + (-1)\/(-2). Let w be (10\/40)\/(k\/(-4)). Solve -4*z + 5 = w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 1074?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-41591)\/(-8756))\/(1\/(-4))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*d - 1779 - 1423 = 0, -t = -3*d - 1599. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 1, -27\/2, -0.13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24267189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 130 - 130. Let w(u) = 2*u - 1. Suppose 0 = -2*p - 4, 0*n = -n + p - 4. What is n*a(q) - w(q)?\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2468 - -5339. Is ((-3)\/9)\/((-3)\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 340057\nAnswer: 15\/340057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -13*p + 5. Let m(u) = 41*u - 14. Let w(r) = -2*m(r) - 7*x(r). Let v(h) = 5*h - 4. Let b be 6\/12 - (-9)\/(-2). Give b*w(j) + 7*v(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 17*s**3 - 801*s**2 + 96*s - 100. What is i(47)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 22*f**2 - 2796*f + 8723. Let t(m) = 21*m**2 - m - 2. Let h(u) = d(u) - t(u). Differentiate h(g) wrt g.\nAnswer: 2*g - 2795","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/5827660 and 73\/2.\nAnswer: 5827660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*t - 4*t + 2*t)*(-2 + 2 - 4*t**2) to the form s*t**2 + f*t + b*t**3 + o and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - (21 + (-4 - 4 - (6 + -4)))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 - 2*k**2 - 3*k**2. Let v(l) = 2*l**2 + 2*l - 2. Let w be v(4). Let r(o) = w*o - 38*o - 5*o**2 + 2*o**2. What is p(r(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + 22\/(-2))*1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -210 + 310. Let t = z + -100.00000047. What is t rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o = 570618 - 81722. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-147)\/343*(441\/(-35) - -7). Find t such that -2\/5*t**2 - q + 2*t = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4)*(-30)\/45. Let x be (-12)\/(-9)*(1 + 2). Let y be (-3)\/5*x\/6. What is the nearest to t in 0.04, y, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s = -14*s + 648. Calculate the greatest common factor of 24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/5, 0, 2\/45?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfbobrebor. What is prob of sequence ef?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, s: 10, q: 1}. Give prob of sequence qj.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + sqrt(475))*-6 - sqrt(475))**2 + sqrt(475) + 1 + sqrt(475) + (sqrt(475)*-1)**2 + -2 + 4.\nAnswer: 10*sqrt(19) + 23752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 12) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1130854 by 2.\nAnswer: -565427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -977 + 985. Solve -26*q + 28*q - 2 = 4*g, 3*g = -5*q - r for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14092*a**6 - a**2 - 2024*a - 2?\nAnswer: 1691040*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*s + 1408370 = -1058979 - 1355974. What is the hundreds digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t = -194*t + 93158463. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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 l(p) = -p**2 + 6*p + 9. Suppose -n + 29 = -2*w, 0*n + 48 = -4*w + 4*n. Let f be (-1)\/2*(-1 + w). Let i = -2 + f. Determine l(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + k - 1520 = 0, -4*z - 7621 = -9*z + 2*k. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q + 2*q - 5*q + (2 - 3 + 2)*(-6*q + 3*q + 2*q) + 0*q + 2*q + 0*q - q - 3*q + 2*q - 31 - 15 - 2*q + 48.\nAnswer: -5*q + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1053512?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1239 + -254. Does 69 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 + 20.16. Let o = u - 17. Let h = o - -0.9. What is the second smallest value in 0.4, h, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/4173 and -19\/41730.\nAnswer: 41730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 + 17*l**2 + l - 5. Let m(f) = -3*f**3 + 8*f**2 - 2. Let z(j) = -5*m(j) + 2*r(j). Is 10 a factor of z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.41075338 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 12\/469, 3, 1.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3718\/121 + -30 + 4\/(-66). Factor -10*a - 28\/3 - k*a**2.\nAnswer: -2*(a + 1)*(a + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 - d**2 - 2*d**2)*(-2*d + 5*d - 4*d)*(316 + 292 + 278) to the form x*d + r*d**3 + u*d**2 + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4348 + -4348. What is the third smallest value in 1, 14, 4, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 + 15 = -3*t + d, 4*t + 5*d + 11 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13300, -29414, -45532, -61654, -77780?\n\"Answer: -2*p**2 - 16108*p + 2810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 810 is divided by 25?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1425078.\nAnswer: 2, 3, 41, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*k + 2247*k**2 + 31*k**4 + 81*k**4 - 5 - 2322*k**2 - 40*k**3 - 32*k**4.\nAnswer: 5*(k - 1)*(k + 1)*(4*k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 0.2. Let j = v + 0.1. Let c = -0.57 - -0.17. What is the second smallest value in j, c, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*n - 125 + 125 to the form w + g*n and give g.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5\/3 + 13*z**4\/3 + 10*z**3 = 0.\nAnswer: -2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2397.5, 1\/8, 0.6.\nAnswer: -2397.5, 1\/8, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(204)*-5 + sqrt(204))\/(sqrt(192)*1).\nAnswer: 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15133 divided by -214?\nAnswer: -15133\/214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9161781203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 4. Let d(t) = -t**2 + 17. Let q be d(-7). Let g = -26 - q. Give n(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252, -479, -706?\nAnswer: -933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, t: 5, p: 8, w: 2, e: 1}. What is prob of sequence kepw?\nAnswer: 1\/2295","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.1, -15, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33 and 1.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 0.095.\nAnswer: 1.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence umhd when four letters picked without replacement from {h: 2, d: 6, u: 1, m: 2}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -10 (b) -1\/11 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4923 times 0.17?\nAnswer: -836.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 8\/3*h**2 + 20\/9 + 2\/9*h**3 + 14\/3*h = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 + -61. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1658*f + 491*f - 170984 = -388*f - 15*f for f.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14359119\/284 - 50560. What is the common denominator of a and 101\/6?\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-65 - (-14 - 13)) + (12 + -5 - -1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 1680*b - 13248.\nAnswer: -3*(b + 8)*(b + 552)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 2\/3, 127?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5904.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5403 + -129725\/24. Calculate the common denominator of 101\/18 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2619 - -143. What is the derivative of u*v**2 - 2762*v**2 - 12 - 21*v**4 wrt v?\nAnswer: -84*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1883 + 2039 = 13*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -v**7\/42 - v**4\/3 - 5*v**2. What is the second derivative of w(b) wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -k**4 + 194*k**3 + 15931*k**2 - 176144*k + 160020 = 0.\nAnswer: -70, 1, 9, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 9\/10 (b) -2\/19 (c) 4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -509 divided by -1?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 20, 8, -3, 3\/4, -0.07 in decreasing order.\nAnswer: 20, 8, 3\/4, -0.07, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97858.\nAnswer: 2, 113, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 640 + -476. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:04 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32528 and 7676?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 509578*m - 509578*m - m**4 + 9*m**2 - 17*m**3 to b*m**2 + h*m + k + x*m**3 + o*m**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from mmlmlllmmlmlm.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcz when three letters picked without replacement from {z: 5, c: 5}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of 512*r**3 + 5*r**2 - 163*r - 6998. What is the second derivative of d(j) wrt j?\nAnswer: 3072","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) - sqrt(3))*-5*-5)**2.\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 0*b**2 - 1 - 3*b + 10*b**2 - 6*b**2. What is the units digit of s(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1988381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 91*j**2 - 9*j + 18. Is 14 a factor of f(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*o - 1504, 0 = 11*p - 7*p - 16. Let a be (-6)\/(o\/15) + 8\/48. Factor -a*s**3 + 2\/7*s + 2\/7*s**4 - 6\/7*s**2 + 4\/7.\nAnswer: 2*(s - 2)*(s - 1)*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 9*d**2 + 112*d. Let g be i(16). Let x be 4\/(-6) + 34\/6. Put g, x, 16 in decreasing order.\nAnswer: 16, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -113929, -113928, -113927, -113926?\n\"Answer: d - 113930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**6)\/((((x*x\/x**5)\/x)\/x)\/x)*x**(-2\/15)\/(x**(-2\/3)*x) assuming x is positive.\nAnswer: x**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119030 to the power of 1\/2, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1809 + -0.0809. Which is the fourth biggest value? (a) f (b) 3\/7 (c) -3\/4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**5 + 8*u**5 + 0*u**5 + (-1 + 1 - 2*u**2)*(u - 2*u**3 - u))*(2 - 4 - 1).\nAnswer: -21*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 777647 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -584 + 591. Calculate the remainder when 13 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 2. Let s be (-159)\/(-33) - (-6)\/33. Give k(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 4379 = 185. Let b = 654 + d. Factor 1\/4*x**3 - 1\/4*x + 1\/4*x**b - 1\/4.\nAnswer: (x - 1)*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -158487, -2, -643 in ascending order.\nAnswer: -158487, -643, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**3 - 87*k**2 - 41*k - 117. Let v be r(-17). Solve -2*h + 44 - 36 = 0, v*m - 14 = -4*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j, -g - 9*j + 10*j + 1261 = 0. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*x - 41078 = -602*x + 35*x - 497*x for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -16*n**2 - 77*n + 324. Calculate h(4).\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/3 + -7)\/1. Let b be (w - (-3 - 0))*26. Calculate the remainder when (-114)\/(-4) - 13\/b is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 86\/(-129)*1\/1*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.5 + 85.\nAnswer: 101.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f - 2*f - f)*(2 - 2 + 2) + 0 - 2*f + 0.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, q: 9}. What is prob of picking 2 b and 2 q?\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-9) + (-214)\/(-963).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2 - -2 - 2 - (-11 + (-13 - -1))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**5\/20 - n**4\/4 + 17*n**3\/6 + 11*n**2 - 10*n + 123. Give c(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189 = 5*w - 7*s + 3*s, -5*w - 4*s + 181 = 0. Let j = 39 - w. Suppose 0*n - j*h + 61 = n, 231 = 4*n - 5*h. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 - 2*l**2 + 14*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 181 divide 147877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1152\/30*(-20)\/(-3). Let o(i) = -i**2 - 3*i + 257 - x + 2*i**2. What is o(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27637959?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*f - 7, 3*f + 3 = 5*n + 2. Solve 7*o = n*u + 4*o + 1, u = o + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) 220 (c) -0.2 (d) 124 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + 0. Suppose -47 = -o*w - 11. Find the second derivative of -21*z**4 - 6*z + 27*z**4 - w*z**4 + 0*z wrt z.\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*178\/(-801)*2\/4*-87.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126325422, -252650845, -378976268, -505301691?\nAnswer: -631627114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1. Suppose -4*c - 11 = 13. Let f be ((-9)\/c)\/((-9)\/(-12)). Let b(d) = -d**2 + 1. Determine f*a(u) + 2*b(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.04013 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 8 = a - 3*a, 3*r + 4*a - 16 = 0. Suppose r = 2*b + 10, -w + 4*b + 3 = -29. Let s be (w\/(-7))\/(4\/(-14)). Solve 2*z = s*z - 16 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/((b**(3\/10)*b)\/b)))\/b)\/(b**3\/b))\/(b**(-1))**(-3\/19))**(1\/3) assuming b is positive.\nAnswer: b**(-181\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 1:55 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -100000101100100011001?\nAnswer: 100000101100100011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*o - 13, -10*s - o = -8*s + 4. Which is bigger: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(108)*-2 + 0 + -3.\nAnswer: -12*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-6)*g*g*g)\/g**(3\/7))**(-2\/3) assuming g is positive.\nAnswer: g**(34\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f = -5*f - 6, -11*t = 4*f - 46 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15461139 divided by -3.\nAnswer: 5153713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*c**4 - 132*c**3 - 279*c**2 - 78*c + 48.\nAnswer: 3*(c - 8)*(c + 1)**2*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express n + 35*n**2 + 24*n**2 + 0*n + 47 - 62*n**2 in the form l*n + c + d*n**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 300530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239 = -9*f + 31. Let q(p) be the first derivative of -29*p**2 + 12*p - 12*p**3 + 32 - f*p**2 + 59*p**2. Find the first derivative of q(o) wrt o.\nAnswer: -72*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/((6058\/4)\/233)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 - 22*r + 38. Is j(-19) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*f = 3. Suppose -4*x + 9 = -f. Suppose -5*z + x*o + 60 = -83, 4*z - 108 = -4*o. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 8*h + 16. Is v(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23125583.89 - 23126221.8899604. Let i = g + 638. What is i rounded to six decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*z - 2*c - 22, -5*z + 5*c + 30 = 0. Let w be (z\/(-4))\/((-1)\/58). Solve 2*j + 0*p - 5*p - w = 0, 0 = -4*j + 4*p + 28 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022012 (base 3) in base 15?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1423 divide 60215668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 6 + 16. Do -5\/2 and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161841938*-2.\nAnswer: 323683876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 4*c**2 + 4*c - 9. Let b be z(4). What is the greatest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011*-0.064.\nAnswer: -0.000704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**6\/720 - 30*o**2 + 7*o + 9. Let j(i) be the first derivative of p(i). Let j(q) = 0. Calculate q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (7345\/25)\/((-2)\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42749245\/(-427350) + (-31)\/(-30) + -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -5*d**3 + 6*d + 6. Let g(h) = -4*h - 3 - 2*h + h + 2*h. Let s be g(-3). Let q(y) = 6*y**3 - 7*y - 7. Give s*q(o) + 7*l(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2928*o - 144294. Give j(-49).\nAnswer: -822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three sixths of a decade in months?\nAnswer: 460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 177249360 to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-1*sqrt(156) - sqrt(156) - sqrt(156) - sqrt(156)) + sqrt(156)*-3*-5 + sqrt(156))\/(sqrt(432)*2 + sqrt(588) + sqrt(588)*2).\nAnswer: 14*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - 1408713?\nAnswer: -1408707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 222903?\nAnswer: 3, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/1 + (-116)\/(-58). Which is the third smallest value? (a) 2\/3 (b) 20 (c) m (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186128 - -261132. Suppose -74980 = -3*t + 4*w - 9*w, -w - j = -3*t. Round t to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -3.7, 5 in ascending order.\nAnswer: -3.7, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/9*n + 0 + 2\/9*n**2.\nAnswer: 2*n*(n + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 e when two letters picked without replacement from {c: 2, e: 7}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 2*s + 482 - 488, -4*o + 20 = -4*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2, -5, 3 in descending order.\nAnswer: 3, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404001 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 35662541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - ((-2 - -4) + 0). Suppose s = -2*a + y + 8, -5*y - 17 = -4*a + 11. What is the remainder when 6 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1339 (base 11) to base 15\nAnswer: 7ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**5\/60 + 17*d**4\/24 - 20*d**3\/3 + 448*d**2. Suppose -2*u = 3*u - 55. List the prime factors of x(u).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 191*f**2. Let i(n) = n - 88. Give i(w(u)).\nAnswer: 191*u**2 - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5*-4.26073\nAnswer: -21.30365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 + 68*x + 243. Let z be y(-5). Solve 3*w + 2*w = 2*h - 1, -5 = -z*h + 4*w for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**8\/1050 - q**7\/300 + q**6\/450 + q**3\/3 + 2*q. Let a(t) be the second derivative of o(t). Find m such that a(m) = 0.\nAnswer: -2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -9 + (-1 - (0 + -11))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 0*h - 404 + 410 = 0. Let z = 10 - 10. What is the smallest value in z, 4, 3.8, h?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18073 = -5*g - 4677, 0 = -2*s - 5*g + 45470. What are the prime factors of s?\nAnswer: 2, 3, 5, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85362.\nAnswer: 2, 3, 41, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/20 and -19\/32598.\nAnswer: 325980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16368 - -27523. Is 77 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-61 - -82) - 58.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 6*p - 16. Let r be a(11). Suppose 0 = -4*z - 4*f + 1176, -z + 41*f - 44*f = -r. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -14) + -6 - (-10 + 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 34 + 17)*(-2 + 2 + 3*y**3) + (0*y + 0*y - y)*(2*y**2 - 3*y**2 + 2*y**2) as j*y**2 + s*y**3 + d + v*y and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 + 1. Suppose -5*o = 2*t - 87, -t + f = 4*o + 4*t. List the prime factors of o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 99 - 29)*(-2*t + t - t) - 2 + 2 + 2*t + (-3 + 1 + 0)*(-2*t + 3*t + t) + 2*t - 3*t + 0*t.\nAnswer: -131*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 30016 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -28721 divided by -6\nAnswer: 28721\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 12:12 AM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 4:36 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 v when three letters picked without replacement from {u: 2, v: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.58 + 0.18. Let q = -9.121 - -8.621. What is the nearest to 1 in 1\/18, q, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:37 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 6)*(1143*i**3 - 965*i**4 - 1143*i**3).\nAnswer: 965*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 63.49 - 64. What is t rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248121444.\nAnswer: 2, 3, 107, 173, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 7*o + 4 = 0. Let y be 4*o\/(-4) - 0. Solve -16 = -y*d + 6*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 4002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.5 + -0.2. Let v = 17 - 19. Suppose b + 3*z = 2*z - 4, 5 = -2*b + z. Put v, b, k in descending order.\nAnswer: k, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 10, l: 2}. What is prob of sequence zzlz?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(2 + (-102)\/50). Suppose 0 = -5*f + 10*q - 8*q - 630, -15 = -3*q. Let w = v - f. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 820*g + 4. Let h(t) = 37*t**2. Determine h(k(m)).\nAnswer: 24878800*m**2 + 242720*m + 592","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -11*p**3 + 34*p**2 + 6*p - 41. Let g(j) = 4*j**3 - 11*j**2 - 2*j + 14. Let r(v) = 8*g(v) + 3*x(v). List the prime factors of r(14).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/2)\/(1482\/104). Let k = 5.2 + -7.2. Sort k, x, 17 in increasing order.\nAnswer: k, x, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2. Let x(c) = 225 - 225 + 4*c. Give f(x(g)).\nAnswer: 64*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*(-81)\/(-24).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 - -14 - (-1 - (0 - 21)). Let j = 4 + -3. Is 8 a factor of -1*u\/1 - j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/15 (b) 51 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -75.49 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 28 = -6*g. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -o + 10. What is the remainder when 2 + (o - (-18 - -3)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3550 + 143*d - 66*d - 75*d + 3550.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q**3 - 142*q**2 + 230*q + 16305. What is u(-71)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axya when four letters picked without replacement from {a: 2, y: 7, e: 1, x: 2}?\nAnswer: 7\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -29*d - 9. What is the tens digit of o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0, 11, -0.5, 1\/5, -12 in ascending order.\nAnswer: -12, -0.5, 0, 1\/5, 1\/3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*1*240\/200?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -134*m**2 + 6 - 7 + 114*m**2. Let s(b) = -3*b**2 + 6*b. Let h(a) = -9*a**2 + 16*a. Let l(g) = 3*h(g) - 8*s(g). Calculate l(n(v)).\nAnswer: -1200*v**4 - 120*v**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from qzzqzqzqqqqqqqqz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1423 - 1403 = 0, 2*h - 5*p + 23 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 9\/(-6) - 6125\/(-350).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -191, -286, -383?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7359834.\nAnswer: 2, 3, 31, 39569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 15\/10*(-4)\/6. Let x(t) = -33*t**3 + 1. Let k be x(m). Suppose k = 3*g + 13. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -2*c**3\/15 - 431*c**2\/5 + 864*c\/5 + 1880. Factor m(k).\nAnswer: -2*(k - 1)*(k + 432)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 236174?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.7 + -36.7. Suppose f + 0*f - 1 = 0. Let h = 0 - f. What is the nearest to h in r, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -254, -358, -462, -566, -670, -774?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/8 and -57\/28?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3652 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111100 + -10?\nAnswer: 111111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 39*f**2. Let y(u) = 2*u - 11. Let r(w) = 3*w - 50. Let h(t) = r(t) - 3*y(t). Determine k(h(d)).\nAnswer: 351*d**2 + 3978*d + 11271","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 241? (a) 2\/15 (b) 5 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.017 - 50.983. Let o = c - -50.933. Let k = 2.933 - o. Sort -1, -2, 0, k.\nAnswer: -2, -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = -q. Let c = -5 + 8. Let a be (c\/(-5))\/((-1)\/5). Put q, a, -4 in increasing order.\nAnswer: -4, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27\/2 + 12. Is s bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 11. Let t(q) = 5*q + 13. Let k(s) = -3*b(s) + 2*t(s). Give k(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/2956200 and -191\/2956200?\nAnswer: 2956200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 14183500.\nAnswer: -567340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dyyyydfdyydyefy. Give prob of sequence deyy.\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 10, 0, 23, -4.\nAnswer: -4, 0, 3, 5, 10, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 24*b - 40. Let r be o(22). Solve -5*t + x - 2 + 1 = 0, -r*t + 5*x + 16 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 914*o - 941*o + 485055. Is o a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1838?\nAnswer: 2, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -7*f + 68. Solve 3*j + 5*s = 4*j - f, -5*j + s + 13 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 71252?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -2*x. Let w(u) = -u**3 + 11*u**2 - 9*u - 14. Let t be w(10). Let i = t - -6. Let d(h) = 7*h**2 - 9*h**2 + 4*h**i. Calculate d(j(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 1\/2 (c) -2\/3 (d) -3141270\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**3 - 6*n**3 + 5*n**3 + (2 - 2 - n + (-12 + 12 + 16)*(n + 4*n - 2*n))*(2*n**2 - 5*n**2 + 2*n**2).\nAnswer: -42*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -1. Let x(a) be the third derivative of 17\/12*a**4 + 31*a**2 - 4*a**3 + 0*a + 0. Let i(o) = -4*u(o) + x(o). Find the first derivative of i(g) wrt g.\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 300 and 1915.\nAnswer: 114900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*b + 19*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/2)\/((-30)\/(-8)))\/(29\/(551\/399))?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26 + 26.1. Which is greater: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81844 (base 10) to base 11\nAnswer: -56544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4708 - -8516. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/(350\/(-15)) + 2446\/(-42). Let x = f + 59. Which is the nearest to 0? (a) x (b) 0.6 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330804 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lz when two letters picked without replacement from zlzllzzzzzzzzzlzzl.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/4 of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -128286?\nAnswer: 513144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - r = -0*r - 197, -5*q + 4*r + 473 = 0. Let j(u) = 10*u**2 + 4*u - 52. Let z be j(-5). Let l = z - q. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*c - 117*c + 935 = -3937. What is the remainder when (-2276)\/(-16) + 1\/(-4) is divided by c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 139 + -25. Suppose -u + 2*b = -45, -2*u + a = 2*b - 0. What is the remainder when u is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 53, 38, -1 in descending order.\nAnswer: 53, 38, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11494*b - 1435*b - 574084 = 6867*b for b.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, l: 6}. What is prob of picking 4 k?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9575.35mg in grams?\nAnswer: 9.57535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2807577.8262 to the nearest 100.\nAnswer: -2807600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18140, 36225, 54306, 72383?\n\"Answer: -2*l**2 + 18091*l + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 79, 100, 171, 322, 583?\n\"Answer: 5*v**3 - 5*v**2 + v + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000121 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10260 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-24)*a**21*a)\/(a**(-4))**(-7) assuming a is positive.\nAnswer: a**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 20, -3 in decreasing order.\nAnswer: 20, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8540, 5661, -2152, -17365, -42444?\nAnswer: -79855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.5 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*4685\nAnswer: 9370","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 + 36. Which is smaller: -6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of -25*t**5\/4 + t**4\/24 - 99*t**3\/2 + 1236*t**2 + 2. What is the second derivative of c(j) wrt j?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-1)\/f*f)\/f*f\/(f\/((f\/(f\/(f\/f**(5\/3))*f))\/f*f)))\/(f**(-1\/6)\/(f\/f**(2\/15))) assuming f is positive.\nAnswer: f**(-49\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3219? (a) -0.04 (b) 15 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 3 - 3 + 5 + 3*l - 5 - 5*l + 5*l - l + (6 - 2 - 2)*(-2*l + 4*l + 0*l) + 8*l - 23*l - 16*l + 0*l + 4*l - 2*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 + 31*k + 102. Calculate r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**5 - 472*t**4 + 1428*t**3 - 1432*t**2 + 478*t.\nAnswer: -2*t*(t - 1)**3*(t + 239)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 553 + -345. Let l = o + -103. Let t be (-1)\/2*-36 + -3. What is the highest common factor of t and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1240 + 13032242?\nAnswer: 13031002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 3)*(0*o**2 - 2*o**3 + 0*o**2) - 2*o**2 + 4*o**2 - o**2 - o**3.\nAnswer: -5*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/3 + 88*o**2 + 546*o + 828 = 0. What is o?\nAnswer: -3, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1))**48\/(p*p\/p**(-3\/4)*p*p*p*p**(-3)*p*p*p) assuming p is positive.\nAnswer: p**(-23\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7323 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13b661 (base 12) to base 6.\nAnswer: 11032201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - o + 130. Let p be t(0). Let i = -57 + p. What are the prime factors of i?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21569 divided by -10.\nAnswer: 21569\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -21, 13 in increasing order.\nAnswer: -58, -21, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 11. Let b be s(-7). Let j(m) = -m**2 + m. Let t be j(b). What is the units digit of 12\/t + 36\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8507 + 8512. Solve -2*i - 20 = -2*b - b, w*i + b = -16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 2*g - 580, -5*n = 2*g - 188 - 536. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwrwrrwrrrrrrwrw. Give prob of picking 3 r.\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2582, 4700, 6818, 8936, 11054, 13172?\nAnswer: 15290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7526 and 11024.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285 divided by -5?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f - 135. Suppose -2*s + 72 = 3*l + 17, 20 = 2*s - 4*l. Calculate the least common multiple of (1 + -2)*(5 + f) and s.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -404 and -404 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + 3*v - v - 11, 0 = 5*m + v - 13 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - ((-2 - (-3 + -2)) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*v = -150*v + 3228. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9 + -5)*(-602)\/(-42140). Let i = 0.07 + 0.14. Sort 4, o, i.\nAnswer: o, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a tonne in kilograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/115 - 208\/1265. Suppose 0 = 5*f - 5 - 0. Let i be 1 - (f - 1\/(-1)). Which is greater: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/2 (b) 1 (c) -0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-3 + (3 - 2) - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4955030?\nAnswer: 2, 5, 61, 8123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -230, -901, -2010, -3551, -5518, -7905?\nAnswer: -10706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15070, 14838, 14606, 14374, 14142?\nAnswer: 13910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 j when two letters picked without replacement from {j: 3, o: 1, m: 1, p: 2, u: 1, z: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -38*v**2 - 1. Let k(t) = 45*t**2 + 15*t. Calculate k(m(h)).\nAnswer: 64980*h**4 + 2850*h**2 + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 506279801?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 + 0.2. Let v = o - 1.1. Let n = 159 + -168. What is the closest to 0 in n, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -7) + (-8 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-5 - 9 - 5)*(r**3 - 3*r**3 + 0*r**3).\nAnswer: 38*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.26287 to two dps.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -37*m**2 - 8. Let k(u) = 203 + 9*u**2 - 401 + 3*u**2 + 201. Determine -3*b(r) - 8*k(r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -92 and 5?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.757 and 96.502.\nAnswer: 73.052014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 + 6*t**2 + 5*t - 2. Let q(g) = g - 1. Let u(y) = -y**2 - 7*y + 6. Let l(x) = -6*q(x) - u(x). Give -f(v) + 5*l(v).\nAnswer: 3*v**3 - v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-28 + -17 + 30) - 0\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 40\/12 - 10\/(-15). Suppose 6*t - t = -2*d + 380, -y*t - 164 = -d. Is 20 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + 0.2. Let s be (-1 - 1) + 2 - -2. Suppose m - 2*m = g, 0 = s*g + 8. Which is the second biggest value? (a) m (b) h (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*b = 4725*b + 160475 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1229560407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the first derivative of -9 - 28*n + 0*n**2 - 15\/2*n**4 + 0*n**3. What is the first derivative of x(a) wrt a?\nAnswer: -90*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that o**2 - 131*o - 1410 = 0.\nAnswer: -10, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1040 - 4?\nAnswer: -1044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-137)\/(-69) + 12\/(-6). Let v = 203\/276 - x. Let q = -10 - -15. What is the third biggest value in 4, v, q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1606?\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 188.0947 litres in millilitres?\nAnswer: 188094.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b. Let o(l) = -5*l**2 + 3*l. Let y(t) = -t**2 + t. Let x(f) = -o(f) + 3*y(f). Determine m(x(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*q**5 - 2427*q**4 + 257949*q**3 - 10623930*q**2 + 150555516*q + 77966136 = 0. Calculate q.\nAnswer: -1\/2, 46, 267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10291 and 410?\nAnswer: 102910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 + -80. Let k = -27 - l. Let u be 1 + (-4)\/(4\/2). Which is the second smallest value? (a) -11 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 0.3 (b) 4 (c) 5 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43149355 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -106) + -33 + -75.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*f - 105. Let s = f - -23. Let w(o) = 2*o**2 - 3*o - 1. Give w(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 255 + -245. Let p be (-42)\/(-7) - (0 + 1). Suppose -z + p*z = 88. Calculate the smallest common multiple of j and z.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1\/2 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - 5*f - 3. Let o be h(6). Suppose 5*n = -y - 18 - 3, -n - 5 = 0. Let q be 0\/((-3)\/3) + y. Solve -o - 9 = q*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -x**6\/120 + x**5\/60 - x**4\/8 + 5*x**3\/3 - 3576*x**2 + 2. Give u(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 2:34 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 4:05 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034174033 rounded to six decimal places?\nAnswer: -0.003417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.01 + 3.01. Let k = 67 - 44. Let w = 22.3 - k. Which is the third biggest value? (a) g (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1980, -1872, -1754, -1620, -1464?\n\"Answer: k**3 - k**2 + 104*k - 2084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of x**3\/3 - 279*x. Let z(n) = -1891*n. Let a(h) = 35*h. Let b(o) = 217*a(o) + 4*z(o). Give p(b(q)).\nAnswer: 62*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.3, 2\/21, 2\/17, -20 in increasing order.\nAnswer: -20, -0.5, 2\/21, 2\/17, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z*z**(3\/13)\/z)\/z*z\/z**(30\/11))**(-3\/7) assuming z is positive.\nAnswer: z**(642\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a = 0. Let q = 104665 + -104469. Is a <= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssss when four letters picked without replacement from ssuuuss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -14*g**2 - 15*g + 15*g. Let a(m) = -8*m**2. Calculate a(w(p)).\nAnswer: -1568*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**5\/20 + w**4\/3 + w**3 - w**2\/2 + 29*w. What is the units digit of d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (264 - 109 - 136)*(2*l - 7*l + 2*l)*(-2*l + 6*l + 0*l) to the form d*l**2 + m*l + r and give d.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*w + 66*w = -5*a + 12, -12 = -5*w + a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629336?\nAnswer: 2, 97, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.6 greater than -0.16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 148*j**2 - j + 1. Let s(i) = -5*i**3 + 1006*i**2 - 829*i + 416. Let r(d) = -4*n(d) + s(d). Factor r(t).\nAnswer: -(t - 412)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7821 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 AM and 8:07 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 12*u**3\/13 + 818*u**2\/13 + 9452*u\/13 - 10282\/13 = 0.\nAnswer: -53, -97\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.7 - -57. Let f = -1.7 - i. Which is the nearest to 1? (a) -2 (b) f (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2053424.\nAnswer: 2, 128339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2941*q - 1631*q - 160*q - 1649*q + 2 - 3812*q - 6*q**2.\nAnswer: -6*q**2 - 10193*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 38898, 38906, 38928, 38970, 39038?\n\"Answer: z**3 + z**2 - 2*z + 38898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1476)\/(-15) + 8\/(-20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -26333150?\nAnswer: 26333142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 10. Suppose d = -2*c + 6*c. What is the third derivative of -2*r**c + 6*r**5 + 0*r**2 + 0*r**2 wrt r?\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*q + 135, -4*a - 2*q + 157 = -23. Does 14 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -28*d + 55. Let w = -55 + 69. Suppose -40 = -18*i + w*i. Calculate the remainder when i is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-12)*h**(2\/5) assuming h is positive.\nAnswer: h**(-58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*(2 - 4). Suppose r = 3*p - 5, r + 5*p - 15 = 4. Suppose 0 = 4*h - 5*f - 9, 20*f - 1 = 2*h + 23*f. Put r, h, m in descending order.\nAnswer: r, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011111010 + -110110101?\nAnswer: 110101000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -10, -11, -10?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*o**2 - 22*o**2 + 12*o - 14*o**2)*(-2*o**2 + 2*o**2 + 2*o**3) + (-o**3 + 4*o**3 - 5*o**3)*(-3*o + 3*o - 2*o**2) - 2 + 2 + 2*o**5.\nAnswer: -16*o**5 + 24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3207, -3242, -3267, -3276, -3263, -3222?\nAnswer: -3147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 86*u - 84*u + 265*u - 81*u.\nAnswer: 14*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 5 (c) -0.3 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(1*sqrt(10)*1) - (sqrt(128) + 1).\nAnswer: -7*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/((-5)\/(-2)*(-36)\/495) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 14 - 5 - 4*w + 3*w. Let b be g(7). Find the third derivative of 2*u**4 - 3*u**4 + 2*u**2 - u**b - u**4 wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and 177\/(-1298)*(-2 - 394\/(-96))?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -815.7 - 30.3. Let o = 842 + n. Let h = 0.7 - -4.3. Put h, -0.13, o in increasing order.\nAnswer: o, -0.13, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 560722.8 litres?\nAnswer: 560722800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*y + 3*s, 10*y - 6*y = 5*s - 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/4, -0.2, -1\/29, -0.01, 32, -2?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1578 + -1130. What is the remainder when t is divided by 43?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3840924 and 10592?\nAnswer: 30727392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -9 + 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -608.\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/8 - 11*x**2\/2 + 11. Let t(i) be the second derivative of c(i). Let q(w) = 3*w**2 - w + w. Determine q(t(s)).\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 624307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*t - 10 + 8 - t)*(0 + 2 - 1)*(-1 + 2*t**2 + 1) to the form c*t**2 + j*t**3 + f + y*t and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/4 + 12\/3. Differentiate h - 2 + 2 - 6*o**2 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 2) + -1 + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227511226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4813668.38 rounded to the nearest 1000?\nAnswer: -4814000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 + 61. Which is bigger: q or -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6831.293 weeks in minutes?\nAnswer: 68859433.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 943627, 1887261, 2830895, 3774529?\nAnswer: 4718163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**3 - 21*q**2 + 12*q - 21. What is l(-11)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7802 is divided by 169?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 20*h + 75. Determine n(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*u - 2*u**2 + 0*u)*(u - u + u**2) - 10*u**4 - 67*u**4 + 9*u**4 as t*u**4 + i*u + f*u**2 + p + g*u**3 and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2505.9 - -2507. Put c, -0.2, 18 in ascending order.\nAnswer: -0.2, c, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Let i be f(0). Suppose -2*r = 2*a + 3*a - 1, -2*r + 4*a = -10. Sort -14, r, i in descending order.\nAnswer: r, i, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u + 1. Let a be l(-2). Suppose -a = -d - 13. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 46 = 2*a, -2*n + 50 = -a + 19. Suppose -2*g + 12 = -2. Calculate the remainder when n is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138616 is divided by 152.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-374))\/((-3550)\/(-234300))\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 4*k**2 + 6*k - 4. Let u be g(-6). What is the common denominator of (-127)\/12 + (-2)\/(-6) and -1 + 2 - 132\/u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 - 0.08. Let c = -0.5 + 0.296. Let n = c + p. Round n to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 13 = -11. Suppose -14*z + 135 + 117 = 0. Calculate the greatest common factor of r and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*g + 13*g + 2172. Suppose g = 2*x - 8. List the prime factors of x.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 6 - (1 + 6) - (13 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**4 - 3*w**3 + 48*w**2 + 48*w.\nAnswer: -3*w*(w - 4)*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.118.\nAnswer: 0.0472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.2. Let y = 399 + -397. Let p = 19\/7 - 173\/56. Which is the third smallest value? (a) y (b) p (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 11\/80201262 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/q**(13\/3)))\/(q**43*q) assuming q is positive.\nAnswer: q**(-119\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3)\/(s\/(s*s**8)))\/((s\/(s*s*s**(-1\/13)))\/(s*s\/((s**(-2\/5)\/s*s)\/s))) assuming s is positive.\nAnswer: s**(606\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32.1639 and -0.02.\nAnswer: 0.643278","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6717 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*a - 4*g - g, 0 = 5*g - 20. Let o(l) = -2*l - 3. Let w be o(-4). Suppose 0*f = -3*f + 4*q + 12, 0 = w*q. Solve -b - a = f*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9855649 is divided by 45628.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 6*h - 34 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**3 + 3*r**3 - 2*r**3)*(r - 2*r - 2*r).\nAnswer: -21*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -367.7 + 440.74. What is g rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-13)*z\/(z\/(z\/(z**(1\/2)\/z))))\/(z**0*z**(-2\/7)))**(3\/7) assuming z is positive.\nAnswer: z**(-471\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (1 - ((6 - 22) + 13)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -912*a - 781. Let q be s(-1). Solve 0 = -69*k - q + 476 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 + (-9 - -7))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b**2 - 2*b - 1. Let d(n) = 7*n**3 - 13*n**2 + 5*n + 7. Let h(p) = -p**3 + p**2. Let k(c) = -d(c) - 6*h(c). Let s be k(6). What is t(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**2 - 8*l - 45. Let p be m(11). Let b = -352 - p. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -4*w + 7, 34*w - 29*w - 2*k - 12 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -277.4 - -277. Which is the closest to 0.2? (a) 3 (b) -1\/4 (c) h (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 1. Suppose w*o - 2716 = -4*h, 0*h + 3*o - 679 = -h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 10 = 15*n. Is (-81)\/n + -8 + 90\/12 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 87677484 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -50 (b) -4 (c) 0 (d) -24 (e) 2\/3 (f) -7\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 18*a**3 - 5*a**2 + 3*a + 2. Let m = 10382 - 10374. Let q(u) = -53*u**3 + 14*u**2 - 8*u - 6. Give m*t(z) + 3*q(z).\nAnswer: -15*z**3 + 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (45\/(-10) - -4)\/(406\/116)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1791778?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004133342282 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2995480 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-6)\/9)\/(-2). Let v be ((-2)\/60)\/((-16)\/(-240)). Which is the nearest to 0.07? (a) -0.1 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, -12, -226923, 2 in descending order.\nAnswer: 2, -1, -2, -3, -12, -226923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from yrhrcrrrnrnrnhrcr.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*s + 201 = -492 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**3\/4 + 453*s**2 - 306227*s\/4 + 371490 = 0. What is s?\nAnswer: 5, 183, 1624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1001, 1002, 1003, 1004?\n\"Answer: h + 1000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3441296 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**21*(w**(-2\/5)\/w)**(-18) assuming w is positive.\nAnswer: w**(336\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/2 - 484\/(-8). Suppose 7*z = 2*z + d. Let c be 1 - -2 - 0\/3. Calculate the highest common factor of z and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49365 at least -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -3*f**5 + 78*f**4 + 7509*f**3 + 48432*f**2 + 41004*f = 0.\nAnswer: -34, -6, -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-1)\/6). Suppose 3*z + n + 8 = 0, f*n + n = -z - 21. List the prime factors of z + 7\/((-7)\/(-8)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.5 = 32461239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 169628.2 to the nearest one thousand.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*m = -6*j + 183*m - 28, 3*j + 4*m = -16 - 13 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 6*v. Let s be d(-6). Suppose -4*x + 3*x + 69 = 2*w, s = 5*x - 2*w - 345. Does 14 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 97353 + -681469\/7. Let q = 9\/50 + -271\/950. Suppose 2 = -s - 4*g, s - g = 3*s + 4. What is the third biggest value in k, 3, q, s?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2246*-0.3.\nAnswer: -673.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -4, -0.5, -537\/4, -3?\nAnswer: -537\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 + 43 = 3*g, -g + 28 = 5*x. Suppose 0*o - 2*o - 466 = -4*m, 5*o - 5 = 0. What is the highest common divisor of m and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -23*x - 2. Let m be j(-1). Let t = 25 - m. Let o = -7 - t. Is -9 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 7:03 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0168 - -7.5082. Let p = b + 0.015. Let y = -7.54000301 + p. What is y rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(8\/2 - 2). Does 14 divide (-1 - -2) + t + 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*o**2*q**4 - 4*o**2*q**3 + 106*o**2*q**2 - o**2 wrt q.\nAnswer: -288*o**2*q - 24*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 - 3*h**2 + 123*h + 3. Let m(r) = 2*r**3 + 2*r**2 - 125*r - 2. Calculate 4*k(i) + 6*m(i).\nAnswer: -4*i**3 - 258*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3)\/s)**(-2))**39*(s\/s**6*s)\/(s**(-2\/9)*s)*(s\/(s*s*s**(5\/4)*s))\/s**(-7) assuming s is positive.\nAnswer: s**(899\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -9061939\nAnswer: -4530969.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -9. Suppose -2 = -3*z + 5*b - 1, -4*b = -4. What is the second derivative of 3*q**3 + t*q + z*q - 7*q wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 + 23*u + 58. Let r be g(-20). Put -4, r, 6, 7 in decreasing order.\nAnswer: 7, 6, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 341 + -206. Let w be (-40)\/(-6)*m\/75. Suppose -w = -5*o - 2. Solve -6*v - 20 = -o*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*a + 36 = 0, 5*d + 4*a - 3*a = 102. Calculate the remainder when d is divided by 12 + 0 - (1 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4381 + 6069 = 475*s for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 2*l - 21. Let t be d(6). Solve m - 4 = -t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o + 42*o - 31*o - 46*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 18) + (1 - -1) - (-52 + -171 + 248)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/6 + 8\/(-24). Is -4*674\/(-8) - (-6 - g) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2080 and 390?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.02 rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x + 464. Calculate z(-41).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007078277 rounded to seven decimal places?\nAnswer: 0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-30)*16\/(-8))\/(4485\/(-11960)).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 150200 to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-87)\/5481*27)\/(1\/7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2097.\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -5. Let n = -3 + 5. Let m be ((-44)\/(-2) - n)\/1. Calculate the highest common divisor of m and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5380 divided by -6?\nAnswer: 2690\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 91*r + 119. Determine x(-3).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9761 + 9793. Solve n*s + 27*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1132213 (base 4) to base 11\nAnswer: -4605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4852.043 millennia in months?\nAnswer: 58224516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6*f + 39. Suppose -6*h = -8*h + 8. Suppose -n - 7*c + 12 = -2*c, h*n + 32 = -4*c. List the prime factors of s(n).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffhffffffififfiifi. Give prob of picking 1 i and 1 h.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 5:52 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-14*d + 14*d + 7*d**2) + 3*d**2 - 3*d**2 - d**2 + d**2 + d**2 - 5*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -57647.013 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*m - 444, m - 561 = -5*z - 2*m. Is 19 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -59994\nAnswer: -23997.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 262 (b) 5 (c) -6353 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988940 is divided by 264?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**4*k**2 - 2*j**4 - 2*j**3*k**2 - j**2 + 48*j*k**2 wrt j?\nAnswer: 48*j*k**2 - 48*j - 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -169*k + 1. Let x(i) = i**2 - 26*i + 13. Let d be x(25). Is z(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 381 = -21. Let b be (2 + -1)*24\/a. Factor 0 + b*o**2 - 4\/3*o.\nAnswer: o*(o - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.11 - 0.11. Let v(n) = n**2 - 7*n + 5. Let f be v(7). Suppose 0 = -2*p + h, 2*p - 4*p = f*h. Is p > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = r + 2, 2*r + 4 = 0. Suppose l = 7*a - 4*a. Solve -d + 0 + 3 = a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 1:14 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - 4) + 1)*(-571 + 539)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -263*v - 243*v - 4554 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 34*p = -360. Let v = p + 180. Let h(f) = -f**3 - f + 29. Calculate h(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 0*p**3 - 9*p - 1\/2*p**2 - 3\/10*p**5 - 1\/12*p**4 + 0. Let s(n) = -n**3. Calculate -f(z) + 4*s(z).\nAnswer: 2*z**3 + z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 4. Let z = 0.046 - 0.146. Which is the smallest value? (a) v (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - -2 - 1) + -103 + (18 - 24)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a - a + 4*a)*(-2958 + 6116 - 2983)*(1 + 2 - 2).\nAnswer: 175*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10\/7 + -11\/7. Let b = -0.42 + -0.08. Sort b, -4\/5, a.\nAnswer: -4\/5, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2 - 63*k - 47. Let b be g(7). Solve -3*m = -b*c + 9, 3*c + 7 - 1 = -2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/140 and -101\/392?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - y**3 + ((-2*y - y + 4*y)*(0 - 2 + 0) + 0*y + 2*y - 3*y + 310 - 107*y - 310)*(2*y**2 + 0*y**2 + y**2).\nAnswer: -331*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(18\/11)*g**(-1\/5))\/(g**(-19\/5)*g**(-25)\/g))**(15\/2) assuming g is positive.\nAnswer: g**(5319\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1010100101100?\nAnswer: -1010100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-10))\/((-204)\/(-60)). Is h at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or 2\/39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 6 + 10 = 0. Let k be ((-3)\/(-6))\/(10\/x). Which is smaller: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -28*m - 41. Suppose -3*i = 3*i + 24. List the prime factors of y(i).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/p**(3\/22))\/p*p)\/(p*(p\/(p*p**(-1\/4)))\/p))**(4\/3) assuming p is positive.\nAnswer: p**(71\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*a - 15 = 30, 3 = -a. Calculate the smallest common multiple of r and (32\/(-10))\/(1\/(25\/(-2))).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 348485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 27*k**5 + 249*k**4 + 270*k**3 + 48*k**2 = 0. Calculate k.\nAnswer: -8, -1, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (64 - (57 - 2)) + (-3 - 0 - 30)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.034439 litres to millilitres.\nAnswer: 4034.439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1373 - -1368) + 2 + -2 + -16?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 t when four letters picked without replacement from {b: 2, t: 2, q: 9}?\nAnswer: 168\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**2. Suppose 51 - 1 = -5*r. Let m(a) = -a**2 - a. Let x(o) = -7*o**2 - 5*o. Let n(u) = r*m(u) + 2*x(u). Give w(n(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.6 - -4312.\nAnswer: 4326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + -2. Let m(t) be the third derivative of t**5\/60 - t**4\/12 - t**3\/3 + 13*t**2. Determine m(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*(-3*5\/(-45) - 0). Suppose -3*s + 5*o + 1145 = t, 5*s - 702 - 1197 = -o. What are the prime factors of s?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 4)*(3 - 5 - 3)*(2*w - 2*w - 2*w**2 + (0*w**2 + w**2 - 3*w**2)*(2 + 0 + 0) - 3*w**2 - 2*w**2 + 3*w**2).\nAnswer: -80*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 10. Let f(b) = 30 + 30 + 9 - 5*b. Let c be f(9). Do c and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.3, -1, -9, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4668 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -157. Suppose 0 = -5*l + 7*l - q. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + (82 - 69) + (-3 + -9 - -2)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 4:51 AM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -1234.\nAnswer: -1234.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 12 = 2*s. Solve -n - s = 4*r + 10, -r = -4*n + 21 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5942942 is divided by 41?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -16387, -16374, -16349, -16306, -16239, -16142?\n\"Answer: j**3 + 6*j - 16394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.9 - 8.3. Which is the third biggest value? (a) -2 (b) t (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/2 + 5529\/(-855) + (-50)\/15.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 128\/72 - (-6)\/27\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*w - 603836 = -158800. Calculate the highest common divisor of 388 and w.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/2, -1, 2\/151, -5, -0.17?\nAnswer: 2\/151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 19*c + 26. Let s(h) = -19*h - 27. Let f(y) = -7*r(y) - 6*s(y). Differentiate f(w) with respect to w.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 265061401*g**4 - 183198108.\nAnswer: 1060245604*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r**2 + 2*r - 2*r + (2*r + 3*r - 3*r)*(-3*r + r + 3*r) + r**2 - 4*r**2 + 2*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.56 + -2.04. Let k = h - -29. What is the third biggest value in -5, -0.4, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2978 - 2964. What is the remainder when 13929 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-33))\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3050*i + 3*i**2 - 3050*i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -20*h + 5. Let x(m) = 144*m - 32. Let k(d) = -22*b(d) - 3*x(d). Determine k(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -256 + 0 + -480 + 454. Is o < -3110\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 5. Let q = -14 + 9. Let j = 6 - 61\/10. What is the biggest value in q, j, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -1 - ((-1 - -1) + (17 - 11))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 3*p + 3*p**2 - p**2 - 346*p**3 + 347*p**3 - 3*p**4 in the form q*p**4 + z + v*p**2 + m*p**3 + i*p and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339205.08 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 2. Suppose 2*m = u*h + 50 + 8, 4 = -h. Let f = -9 + m. Calculate the remainder when 29 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 660945*t.\nAnswer: t*(t - 660945)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.0545 (b) 1\/4 (c) -4.745\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(192) - (sqrt(192) + 0)**2 - sqrt(192) - sqrt(192)) + -4.\nAnswer: -387 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -66, -0.1, -0.7, 3\/4 in decreasing order.\nAnswer: 5, 3\/4, -0.1, -0.7, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 + 63*f**2 - 353*f + 7397. What is p(21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-176*i + 3 - 3)*(-42*i + 16*i + 19*i)*(i**2 - i**2 + i**2).\nAnswer: 1232*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, -6, -5, -148, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250105754.\nAnswer: 2, 173, 722849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -5. Let u be h + (3 + -3 - -2). Let p(r) = -r**2 + r + 15. Let g be p(0). What is the highest common factor of u and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 - 22*q**2 - 5563*q - 31959. Give t(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 31\/2 of a milligram?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 760, 1511, 2248, 2965, 3656?\nAnswer: 4315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/8 smaller than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3797 is divided by 1234.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 4850*k + 4845*k - 80, 3*j - 2*k - 45 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 12*m**2 - 10*m - 13. Let t be h(6). Let j be (t\/231 - (-4)\/(-14))*-1. What is the biggest value in -14, 2\/3, -2\/5, j?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 796, 1590, 2384, 3178?\nAnswer: 3972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 10178 = 7*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x + 66 = 5*u, -274*x + 270*x - 11 = -3*u + 11 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38633\/40 - 1933\/2. What is the common denominator of h and -69\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (q + 0*q + 0*q)*(-2*q + q - 4*q)*(2562 + 3946 - 28 - 377) as i*q**2 + k*q + f and give i.\nAnswer: -30515","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -63*z**5 + z + 1504 - 44016*z**4 + 15*z**5 + 44024*z**4 wrt z.\nAnswer: -960*z**3 + 96*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20111002102 (base 3) in base 5?\nAnswer: -13041030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 0*r - 4 = r, 3*r - 1 = 2*l. Solve l = m - 1 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 352 and 2912?\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjkjjkjjjjjjjjjjjj. Give prob of sequence kkj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w + 45. Let d be r(-13). Let p = 5 + d. Calculate the remainder when 182 is divided by p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 2\/11 (b) -427 (c) -2\/3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -9*r - 79. Let l be s(-9). Sort l, 0.3, 4 in descending order.\nAnswer: 4, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-925)\/20 - (-1)\/4. Let p = 43 - -25. Let w = p + d. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3 + (sqrt(2736) + -3 + 3)*1 + ((sqrt(2736) + -2)*-6 + 2 + 1*sqrt(2736))**2).\nAnswer: -274396 + 6672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 1:27 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) -0.3 (c) -1\/2 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 239300273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 h when three letters picked without replacement from {r: 4, h: 3, g: 9}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**2 + o**3 - 2*o**2 + (-3 - 6*o + 3)*(-3*o + o**2 + 3*o) as n*o**2 + m*o + g + y*o**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*k + 2. Suppose -5*r = k*d - 46 - 12, 0 = 3*r - 2*d - 38. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1385840 = -2*f, -2156*f + 692905 = k - 2152*f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10.6474 - 10.6474057847. What is f rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 9*p + 3. Let n(h) = h**3 + 4*h**2 - 3*h + 1. Let o be n(-5). Let x be m(o). Solve -x*c = -1 - 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dyls when four letters picked without replacement from {p: 2, y: 1, a: 1, s: 1, l: 2, d: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -8 - (3 - 5 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 252 + 1694. Let p be (-4)\/(-1 + d\/210). Let u = p + -150. Calculate the highest common divisor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 2 (b) -1\/3 (c) -1.9 (d) 25 (e) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 - 485?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 8 = -3*p. Suppose 0 = 2*i - 0*i + 18. Let l be 0\/5 + i\/(-3). Solve 3*m + 2 = 6*m + p*v, l*v = 4*m + 14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u + 36. Give v(11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 3*j = 18, 2*y - 5*y + 14 = -j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-49)\/(-14)))\/((-8556)\/(-138))?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*r - 5*f, -248*r - 2*f = -246*r - 18. Solve -b + 5*b + 2*j - 28 = 0, 0 = -r*b + 5*j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 8 = -26*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 32. Let n be c(-18). Let w be (-7)\/28 - 37\/n. Solve -3*o + w - 3 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.993 + 0.007. Which is smaller: x or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -4*s + 19, -25*q + 31*q + 5*s = 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -4. Suppose 2*d + g - 16 = -g, c = -3*d - 4*g + 28. Calculate the highest common divisor of 1 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + 16531?\nAnswer: 16531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -221400 - 111?\nAnswer: -222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-8))\/(351\/4158) and 57\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33309615 by -2985.\nAnswer: 11159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5014 - 3?\nAnswer: -5021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/(sqrt(448)\/sqrt(4)))\/(4*(sqrt(36)\/sqrt(3))\/sqrt(2)).\nAnswer: sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-32 - (-23 - 12) - -10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 201488.721 hours?\nAnswer: 1199.337625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 5 + 3\/16*m**4 - 1\/12*m**3 + 0*m**2 + 0*m + 1\/5*m**5. Factor q(c).\nAnswer: c**2*(c + 1)*(4*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q - 1. Let n(f) = -f**2 - 4*f + 6. Let o be n(-6). Let s be (-112)\/20 - o\/10. Let i be j(s). What is the highest common divisor of 44 and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23 by -279.\nAnswer: 23\/279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**3 + 2*m**2 - 2*m + 1. Let q be -5*(-8)\/20 + -1. What is l(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-8))\/(2\/8). Let n be 11 + (8 - 7) - 9. Sort n, -1, 25, s in descending order.\nAnswer: 25, n, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(((w*w**25)\/w)\/w))\/w)**(7\/4))**(-45) assuming w is positive.\nAnswer: w**1890","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -76*f**3\/3 - 25*f - 21. Differentiate s(g) wrt g.\nAnswer: -152*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.3. Let x = 95 + -95.3. Which is the closest to -1? (a) -5 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -6\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*r**4 - 59706*r**3*s**3 - 3*r**2*s + 2420*r*s**3 + s**3 + 2*s wrt r.\nAnswer: 96*r - 358236*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 725*o**2 - 164*o - 9. Let m(v) = 1453*v**2 - 330*v - 20. Let n(h) = -6*m(h) + 13*q(h). What is the second derivative of n(p) wrt p?\nAnswer: 1414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*a - 23*a + 19*a to the form n + u*a and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-378)*12)\/(12\/(-7))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 25\/8 of a kilometer?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 64*t - 78. Let g(a) = 7*a + 9*a + 9*a - 22*a. Let v(y) = -4*g(y) + x(y). Differentiate v(p) with respect to p.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snjssbbnbbnb. What is prob of picking 1 b and 1 s?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 30, 83, 170, 297, 470, 695, 978?\n\"Answer: x**3 + 8*x**2 - 6*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g + 13. Determine l(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, f: 4, q: 4, s: 2}. Give prob of picking 1 m, 1 q, and 1 f.\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlqy when four letters picked without replacement from nnyzqynnlnnnlnzzn.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(95) - sqrt(95))*2)\/(sqrt(405)*4).\nAnswer: sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y - 7*y - y**2 + 10*y. Let m(p) = -2*p**4 - 4*p**2 + 6*p. Let o(w) = 6*j(w) - m(w). What is the third derivative of o(c) wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1792 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312106454.\nAnswer: 2, 3, 211, 345473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 101630?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h*r*u*z - 8*h*r*z - 11*h*r - 164*h*u*z + 26*h - 457*r*z - u*z + u + 31 with respect to r.\nAnswer: -h*u*z - 8*h*z - 11*h - 457*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1100))\/(1*-2*sqrt(4)).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-two fifths of a millennium?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*l = 8*l - 2044, 0 = -3*x - 5*l + 3078. What is the greatest common factor of 32 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/2*(-16*3\/30)\/((-6)\/10).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - (-4 + -18 + 22)) + -98 - -13.\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4003668)\/(-119295))\/9 + -4. Let f = u - 53\/241. Calculate the common denominator of 41\/115 and f.\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*b + 28 - 143. Sort b, -0.4, -5, -2.5.\nAnswer: -5, -2.5, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 1 + 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 PM and 7:20 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4 - 6 = -5*p, -8*t + 3*p = -3*t + 14 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7002 = 288*z + 204*z + 286*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/170*984\/(-1). Let w = m + -196. Find y, given that 0 - 24\/5*y**3 - w*y**4 - 36\/5*y**2 + 0*y = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 127*u. Let h(c) be the third derivative of -19*c**4\/24 + 7*c**3\/6 + 59*c**2. Let t(w) = -8*w + 3. Let y(l) = -3*h(l) + 7*t(l). What is f(y(p))?\nAnswer: 127*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + -15 + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -164.1 - -155. Let n = -9 - x. Let l = -1.4 + 1. What is the closest to 0 in l, -4\/5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 6*o - 8*o. Find the first derivative of 2888*p**2 - 2887*p**2 + 54 - 81*p - o wrt p.\nAnswer: 2*p - 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -5\/6, 0.2, -1, -3\/7 in descending order.\nAnswer: 4, 2, 0.2, -3\/7, -5\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-1))\/(20*16\/(-256)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 92?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -1. Let q = -1.97 - 9.19. Let l = q + 11.26. What is the nearest to l in u, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1178 and 1032517?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f + 18. Let h be a(-10). Let w(u) = -u + 4. Let b be w(h). Let y(d) = 6*d + 14. Let l(k) = -k - 1. Let o(z) = -5*l(z) - y(z). Give o(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iftpppspsrrtpfprsssp. What is prob of sequence rrf?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 585 and 68835?\nAnswer: 206505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3224 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13580252.\nAnswer: 2, 7, 193, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 11.8. Let j = 0 - x. Let f be ((-8)\/(-30))\/(2\/(-5)). Which is the second smallest value? (a) 1\/8 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -3122663\nAnswer: -31226630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1966 or -1967?\nAnswer: -1966","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 11*k**8\/336 - k**5\/10 + 2*k**2. Find the third derivative of w(c) wrt c.\nAnswer: 660*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 1\/4, -3, -0.03, 0.02, -1, -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -67067.46 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 + 122918*a**2 + 614553*a - 65. What is d(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.8 - -1.8. What is the nearest to 1\/3 in -2\/3, i, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 3*t - 3. Let g = -13 + 35. Let p(v) be the third derivative of v**5\/15 + 11*v**4\/24 + 11*v**3\/6 - 2247*v**2. Calculate g*m(b) + 6*p(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*o - 46 = -312*o - 7*w, 3*w = o + 29 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 707 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/29501390 and 56\/5.\nAnswer: 29501390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15bb64 (base 14) to base 5\nAnswer: 143343312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 61*h**5\/30 - h**4\/24 + h**3\/3 + 14*h**2. Is r(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 16, 4, 81280.\nAnswer: 4, 7, 16, 81280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/7 + 184311*y.\nAnswer: -3*y*(y - 430059)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -20.5. Let c = o - -8.4. What is the smallest value in -2\/9, -0.01, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 193505.1 or -1\/14?\nAnswer: 193505.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 12\/7, -5543\/3, 36?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -43 - 22?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 19*l**2 - 3. Calculate y(-19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 12*f - f + 1296 = 0. Solve 89*a + f = 62*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -440.3 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1266868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/403528?\nAnswer: -3\/403528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 388*f + 1842. Let t(r) = -r**2. What is b(t(q))?\nAnswer: -388*q**2 + 1842","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 1447*o - 5810. Calculate h(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69261.24kg in tonnes?\nAnswer: 69.26124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3\/15 + 8*m**2\/15 - 2*m\/15 - 8\/15 = 0?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 7*d - 255. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140.62 - -138.9614. Let a = -0.0806 - p. Round a to 1 dp.\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 884356605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36 - 34. Solve 4*n - l - u = -4, n - 7 = 4*l for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 0.62, 0.3, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 2:59 PM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 17*x**3 + 15*x**3.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -318*o + 4*o**3 + 2*o**3 - 60*o - 4*o**3 - 2*o**2.\nAnswer: 2*o**3 - 2*o**2 - 378*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 114786 + 886260. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4587 times -0.11\nAnswer: 504.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(0 + sqrt(3)).\nAnswer: -2 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/8*(-2 + 1). Suppose -4*o - 20 = g - 5*g, 3*g - 23 = 5*o. Suppose -4*a = z - 10, 0*a - a - 4*z = -10. Put o, u, 4, a in increasing order.\nAnswer: o, u, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147983 - 63458 = -44*c + 56827. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 14*w - 26. Let f be d(-7). Let h(c) = 2*c - 46. Let x be h(f). Suppose -5*y + 14*y - 3501 = x. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5186878, 10373762, 15560646, 20747530, 25934414?\nAnswer: 31121298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9684*m**2 + 4165 wrt m.\nAnswer: 19368*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*k - 181*k + 2382*k - 2*k**2 - 739*k + 1371*k.\nAnswer: -2*k**2 + 3824*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 3*n, 5*l + 47 = -n + 99 - 48 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -4*w - 34. Let b be u(-9). Suppose 4*a - 4*j - 19 = 9, 26 = b*a + 4*j. Solve 6*z + a = 3*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 2*n - n + (0 + 5 - 3)*(-2 + 2 + 2*n))*(1 - 1 - 2).\nAnswer: -14*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 13 = -3*p, -4*a = -2*p - 3*a + 12. What is the second derivative of p*u**2 - u + 2*u - 6*u**2 wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(85)*-2)\/(sqrt(20)\/(sqrt(8)\/sqrt(2))) - ((-2*sqrt(170))\/sqrt(10) + -6*1*sqrt(17) + -3).\nAnswer: 3 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14155603 to the power of 1\/3, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*g**2 + 1231 - g**3 - 1231 + (0 - g**2 + 0)*(20*g - 15*g + 13*g) to y*g**2 + l + s*g**3 + o*g and give y.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 33 = 5*d, 3*d + d = -2*y - 16. Let a be (-86)\/(-129)*3\/6. Put y, a, -4\/3, 4\/15 in increasing order.\nAnswer: -4\/3, 4\/15, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 p when two letters picked without replacement from ttttttttutttttptttt.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from ppaphpahhaahpa.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 286160*j - 1144723. Give s(4).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 95\/(-76) - (-558)\/24. Let y(i) = i**2 - 24*i + 40. What is y(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 11726*d - 2. Let l(w) = 155815045*w - 26577. Give 2*l(c) - 26577*y(c).\nAnswer: -11812*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**6\/120 - p**5\/12 - p**3 + 2*p**2. Let d be g(-6). Solve -2*t = -3*s + 19, 4*s = 5*t - 0*t + d for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 19150\/517?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x - 38 - 34. Sort -2, -1, 11, x.\nAnswer: x, -2, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(304) + sqrt(304)*-1 + -2 + sqrt(304) - ((-1*sqrt(304) - sqrt(304))*-3 - sqrt(304))))**2 + 5.\nAnswer: 96*sqrt(19) + 4878","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 3) + (-5 - -11 - 7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 903 divide 27987940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, x: 2, w: 1, m: 2, n: 1, h: 2}. Give prob of sequence xhhm.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 331 = -3*j + 335, 3*z = -5*j - 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -34 + 9. Let c(u) be the second derivative of 0*u**3 + 0*u**2 + 3\/20*u**z + 0 + 4*u - 1\/4*u**4. Factor c(k).\nAnswer: 3*k**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -52*q**2 - 7*q - 6. Let x(f) = 53*f**2 + 8*f + 4. Calculate -2*d(o) - 3*x(o).\nAnswer: -55*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 153493 + -28?\nAnswer: 153465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n + n**2 + 10*n - 4*n - 9*n**3 + n**4 + 2 as l*n**2 + k*n + y + f*n**3 + t*n**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*p = 145*p + 343 + 22542 + 6005 for p.\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 3*a - 8 = 5*x, -12 = 5*x - 2*a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 291903\nAnswer: -1\/97301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5 = -1. Suppose -j + i + 67 = 3*j, a*j - 5*i - 46 = 0. Suppose j = -d - 23. Which is smaller: -39 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 0.3, -54, -100?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 3*b = -22. Let l(q) = -q**3 - 3*q**2 + 4. Let j be l(-3). What is the greatest common factor of b and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22236?\nAnswer: 2, 3, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.08 + 4.6. Let o = -0.52 + k. Which is the nearest to 0? (a) -0.4 (b) 4\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 2, d: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -30*j**3 + j**2 + j. Let i be q(-1). Suppose f - 3*f = -6, 3*o + 5*f = i. Solve 3*h - 5*h = 4*s + 26, 3*s = -o*h - 30 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -2, -0.3, 0.09?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-10) - (-2403)\/445?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o + 3. What are the prime factors of l(16)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-52)\/20 - 6\/15. Let s be (-14)\/(l\/(-39)*-1). Suppose -4*m = -0*m + 3*r - s, 5*m = 3*r + 241. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -1185*f - 5 + 1283*f - 108*f. Let j(x) = -5*x - 3. Calculate 11*j(s) - 6*o(s).\nAnswer: 5*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 4bbae?\nAnswer: -4bbae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**2 - 7*a**2 + 2*a**2 + (5*a**2 + 20*a**2 + 42*a**2)*(0 + 3 - 1).\nAnswer: 132*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/21*2*63\/27?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69 - -69.1. Let i = 4.96 - -0.04. What is the closest to -1 in i, h, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 157*b + 31. Let t(v) = -2*v. Determine t(g(a)).\nAnswer: -314*a - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.7 - -6.7. Suppose -421*n = 416*n - 860*n - 23. What is the closest to n in 1\/4, 7, k, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-7)\/(-14 + 7))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 249, 993, 2239, 3993, 6261, 9049, 12363, 16209?\n\"Answer: l**3 + 245*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 6*z**2 + 4*z + 7. Suppose 0 = -14*g - 29 - 27. Let a be (-13)\/(-2) - (4 - (-10)\/g). What is n(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/50*10\/180*30\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)*3)**2*-5 - (3*sqrt(68) + 1)**2.\nAnswer: -3673 - 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-27)\/2*(-4)\/6. Suppose q*z = 10*z - 3. Solve 2 = -5*j - z*b - 2, -j = b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**6\/30 + i**5\/10 - i**4\/12 - i**3\/3 + 2*i - 104. Factor a(z).\nAnswer: z*(z - 1)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8*t = 0. Does 21 divide t - (-1)\/((-1)\/(-93))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*k**4 - 225*k**3 + 235*k**2 + 225*k - 230 = 0. Calculate k.\nAnswer: -46, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 263220 and 468.\nAnswer: 10265580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 18608 = 42470. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 4132?\nAnswer: 4121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 3*l - 363, g - 5*l - 53 = 55. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-5)*f)\/f)\/((f**5\/f)\/f))\/(f**(-1))**38 assuming f is positive.\nAnswer: f**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -5*b - 6. Suppose -i = b*i - 12. Determine o, given that -2*o**4 + 10*o + 10*o**5 + 0*o**3 + 10*o**2 - 5 - 3*o**4 - 20*o**i = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -9 (b) -0.3 (c) 38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 583110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19409\/15 + 1294. Let z(a) be the second derivative of a + 0 + 1\/90*a**6 + 1\/12*a**4 - 2\/3*a**2 + 2\/9*a**3 - r*a**5. Determine q, given that z(q) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = 4*l - 12, 34 = -5*d + 3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l + 9. Let x be v(5). Calculate the remainder when (5 + x)\/(18\/153) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (-3 - (-15 + 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(530\/(-60))*-2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of -2*d**2 - 2\/3*d**3 + 1\/60*d**5 + 1\/4*d**4 + 0*d + 0. Let r be c(-6). Let z(i) = -i + 2. Determine z(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1452587760 divided by 18\nAnswer: -80699320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 7:09 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbtt when four letters picked without replacement from {t: 2, b: 11}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4158.22 - -4158.2. Let o = 652\/5 + -131. Let b = -1 - -1. What is the third smallest value in w, o, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 0 = 3*r + 19, -r - 13 = 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19596840.\nAnswer: 2, 3, 5, 163307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = s + 69. Let r = 222 + -474. Let h = s - r. List the prime factors of h.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxto when four letters picked without replacement from fzxzfztzxzfzxztfozf.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 4*n + 136. Suppose 0 = 22*f - 17*f - 15. Let x be (-3 + 0)*1 - (-9)\/f. Let v be m(x). What is the greatest common divisor of 34 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4429432 and 114.\nAnswer: 13288296","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -49561.2 + 49498.20322. Let q = 63 + r. Round q to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*i - 41 = -330, 0 = -2*c + 2*i - 190. Let l be (7 - 0)*1482\/c. Let p = l + 126. What is the greatest common factor of 48 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02516855 + -0.02508. What is h rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3871 - 3871 + 69*d**2 + 3*d)*(0*d**2 - 2*d**2 + 0*d**2 + 3*d**2 + 3*d**2 - 5*d**2 + (-6*d**2 + 3*d**2 + 2*d**2)*(5 + 1 - 4)).\nAnswer: -207*d**4 - 9*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46560642.\nAnswer: 2, 3, 7760107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -38.9 - -2.8. Let n = 36 + d. Let v = 4.88 + 0.12. What is the nearest to n in -2, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9*2\/72)\/((-10)\/64)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -w**5\/20 - w**4\/3 + w**3\/6 + 3*w**2\/2 - 666*w - 2. Determine a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -47941, -73353, -98765, -124177?\n\"Answer: -25412*c - 22529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6356, -11, 4, -2\/15.\nAnswer: -11, -2\/15, 0.6356, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 12*y**2 + 4*y + 14. Is t(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8))**(-2\/3) assuming t is positive.\nAnswer: t**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u - 2*u + u)*(-1213 + 1213 + 10*u**3) in the form p*u**3 + h*u**2 + o*u + n*u**4 + c and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -3*c - 4. Let o(v) = -5*v - 5. Let a(t) = -4*o(t) + 5*y(t). Let f(k) be the third derivative of k**4\/12 - 10*k**2. Determine a(f(q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 3*u**3 + 4*u + 5. Let r be m(-4). Let d = r + 285. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 2*g**3 + 0*g**2 + 0 + 0 - g**3 + (-3 + 1 + 1)*(6*g**3 - 8*g**3 - 15*g**3).\nAnswer: 18*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9605 by -4.\nAnswer: -9605\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225*s - 4456 + 17431 + 3225 = 0 for s.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10174 + 11?\nAnswer: 10185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 2*q + 5*o + 15, 5*q + 4*o = -12. Let h(w) = -4*w + 12. Let r(p) = -5*p + 13. Let n(a) = 4*h(a) - 3*r(a). Calculate n(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/21, 0.5, 10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3150 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -137 (base 12) to base 5\nAnswer: -1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*((2 + g - 2)*(-3 - 3 + 4) - g - g + g)*(-883*g + 975 - 975).\nAnswer: 5298*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168047234 divided by 831917.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -128135.089 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 8:29 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -539251\/143 + 3771. Suppose 2*l = l - 1. Is c less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 35 = 5*d, -j + 0*d - 9 = 3*d. Solve -5*y + 2 = -j*a + 7, 4*y + 5*a - 33 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81204158 to the power of 1\/2, to the nearest integer?\nAnswer: 9011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 199.1895g in kilograms?\nAnswer: 0.1991895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + 1 + ((-2)\/2 - -4). Solve g = n + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k**3 + 22*k**3 + 121*k - 128*k + 44*k**3 + 2*k**2 - 2 as u + b*k + g*k**3 + c*k**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60 - -131. What is the remainder when p is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 + b**2 - 3*b**2)*(16042 + 1265*b - 16042) as m*b**2 + f + z*b + q*b**3 and give q.\nAnswer: -1265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 0*r - 6*r**2 + 13*r**2 + r**3 + 6 + r. Let n be s(-7). Let a be 1*0*n\/(-3). Solve -2*z + a*z + 4*m - 4 = 0, -4*z - 20 = 4*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 146888464?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-96 - (80 + -90))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ama when three letters picked without replacement from amammmm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2416*205.\nAnswer: -495280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*z + 80. Let n = 4 - 10. Let o = 7 - n. What is the remainder when z is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 + 27180*r. Let k(a) = -76*a - 2. Calculate s(k(n)).\nAnswer: 28880*n**2 - 2064160*n - 54340","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*(-336)\/(-9) - -3. Let k(l) = 4*l + 133. Let n be k(-33). Find the common denominator of -89\/20 and (z\/18)\/n - 0.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -33, 0, -2, -3, 190 in descending order.\nAnswer: 190, 0, -2, -3, -10, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3*y. Let o be q(1). Let d be 12\/8 + (-6)\/4. Find the first derivative of d*r - r + o - 2 wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 1:50 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 192 + -176. Is 40 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 7*g + 4. Let d be v(-7). Suppose 2*r + 22 = d*r. Let f(m) = -6*m - 4. Calculate the remainder when f(-6) is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -141 or -142?\nAnswer: -141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*i**2 - 2*i**2 + 0*i**2)*((-2*i + 3*i - 3*i)*(2 - 2*i - 2) + 2*i**2 - i**2 - 2*i**2).\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, t: 4, f: 1, i: 2, r: 6, o: 2}. What is prob of picking 2 s, 1 f, and 1 r?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ycc when three letters picked without replacement from rbrchccccyccrcachcy.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, l: 2, n: 3}. What is prob of sequence nh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4869535 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 16245?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-2))\/((-3)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*u**3 + 616*u**3 - 411*u**3.\nAnswer: -157*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 + 4*h**2 - 3*h**4 - h**2 + (-h**4 - 4*h**4 - 5*h**4)*(-7 + 1 - 7) in the form i*h**2 + t + d*h + r*h**3 + g*h**4 and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 844306333?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 k when two letters picked without replacement from {k: 1, e: 5, i: 6, w: 1, b: 2, v: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 7*a + 7. Let s be n(-7). Let o be s\/(-2 + 3\/1). Suppose -o = -4*u + 1. What is the greatest common factor of u and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 9, 43, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21678, -43355, -65032, -86709?\n\"Answer: -21677*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 + 39 = f. Let t = 149 - f. What is the closest to t in 2, -4, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.005, 241, 0 in descending order.\nAnswer: 241, 0.005, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 5:50 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 - 64995*l - 1408116675\/2.\nAnswer: -3*(l + 21665)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*n**2 - 10*n**4 - 6*n - 416*n**2 + 6*n + 2*n**3 wrt n.\nAnswer: -240*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/18 and -49\/1588.\nAnswer: 14292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*n, -2*n = -4*x - n + 10. Let o be 15*x*(-2)\/9. Let l = -5 - o. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**2 + 15*o - 31. What is g(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 83184.\nAnswer: 415920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13071.\nAnswer: 3, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28623, -28558, -28375, -28014, -27415, -26518, -25263, -23590?\nAnswer: -21439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -27 and 2.6.\nAnswer: -70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6317, -2, 0.03.\nAnswer: -2, 0.03, 6317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 4*t - 2, -14*t - 5*v - 27 = -13*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g**2 + 9*g - 21. Let q be s(4). Find the first derivative of 131 - 79 - 112*f + q wrt f.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101110011 (base 2) in base 15?\nAnswer: -630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 9:09 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749139859.\nAnswer: 13, 7481, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425 + 424.3. Which is the second biggest value? (a) -1\/24 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (22 - 23 - 38)*(-a - a + 0*a)*(1557*a - 2521*a + 1238*a) in the form y + k*a + p*a**2 and give p.\nAnswer: 21372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0964 to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*o + 39*o - 68 = 14*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*a = 881, 3*d + 3*a = 164 + 481. Suppose r + d = 3*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-20)*l)\/(l\/l**(-12\/11)) assuming l is positive.\nAnswer: l**(-232\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**3 - 4*v**2 + 3*v. Let j be z(2). Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*o = 82*s - 85*s - 1094, -5*o + 4*s = -o - 12 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x, -3*i - 58 = 2*x + 2. Let r = i - -22. Sort 3, 9, r in descending order.\nAnswer: 9, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 2:26 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (24\/15)\/(2\/5). Let s(t) = 61*t**2 + t - 4. Let h be s(k). Calculate the greatest common factor of 16 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 - g**2 + 4*g - 2. Let c(w) = -2*w**3 - w**2 + 3*w - 2. What is -4*c(a) + 3*i(a)?\nAnswer: 2*a**3 + a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 154254*r**2 + 249753*r.\nAnswer: 308508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiuiuiuiii. Give prob of sequence iuu.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n**4 - 4*n**4 - 5*n**4)*(-140 + 18*n + 58 - 3*n - 20*n).\nAnswer: 25*n**5 + 410*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.3 + -3.6. Let t = 1 + 2. Let a be (1 + -5)*(-1 - 0). What is the third smallest value in l, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25985*k**2 + 33784.\nAnswer: -51970*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4080 + 1130156\/277. Let h = 6395\/1662 + a. Find m, given that -1\/2*m**4 - h*m**2 - 8\/3*m - 2\/3 - 7\/3*m**3 = 0.\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(143) - (sqrt(143) + sqrt(143)*1)))\/(sqrt(44)*-6).\nAnswer: -sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-5358)\/(-3572)*((-3)\/(6\/(-34)))\/(-3)\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.4, 2\/1421, -4, -1, 20\/7 in descending order.\nAnswer: 20\/7, 2\/1421, 0, -0.4, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 6.5. Let m = -1\/2834 + -8497\/14170. Sort -10, m, 3\/5, t in descending order.\nAnswer: 3\/5, t, m, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {o: 2, j: 1, a: 1, x: 1, m: 2, g: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 410 = -407. Suppose -147 = -2*z - x, 3*z - x - 223 = -2*x. What is the remainder when z is divided by ((-4)\/(-2) + i\/2)*8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from knkpkkpnkkktnkpptk?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23622, -47245, -70870, -94497?\nAnswer: -118126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 5*q + 4 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/30)\/((-1)\/8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 9:13 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -17 (b) 1 (c) -0.5 (d) 148213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 6*y**2 - 3*y + 2. Let g(x) = -6*x**2 - 3*x + 3. Let z be (5*(-9)\/60)\/((-3)\/8). Let o(p) = z*g(p) - 3*b(p). Let o(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/9)\/((-4)\/36). Let f(t) = -5*t**3 - 6*t - 4. Let v(z) = -14*z**3 - 17*z - 11. Let n(i) = -17*f(i) + 6*v(i). Let c be n(0). Solve -c*j = w*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339944.\nAnswer: 2, 11, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6*t**2 - t - 1. Let h be p(-1). Let z = -7 - -11. Let n be (-27)\/3 + (1 - (-5 + 2)). Sort z, h, n.\nAnswer: h, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42173620.00149 + -42173877. Let f = -257 - n. Round f to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + i + 12 = 0. Let c = -40 + 161\/4. Let j be (-3)\/(-6)*-10*(3 - 4). Sort c, j, i.\nAnswer: i, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-1) + (91 - 3). Suppose o - 18 = -3*r. Round r to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*h - 25, 2*h + 2 + 18 = 4*q. Solve -4*i + 2*p + 6 = h, -i - 5 = 5*p - 23 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 44*w**3 - w**2 - 12*w + 13. Let u be s(1). Suppose -3*c + 51 = -0*c. Suppose c + 16 = 3*l. Calculate the greatest common divisor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -55*w**5 + 6*w**3 + 64*w - 6. Let r(o) = -55*o**5 + 7*o**3 + 64*o - 7. Let t(b) = 7*m(b) - 6*r(b). What is the second derivative of t(u) wrt u?\nAnswer: -1100*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 167, 111, 55, -1?\n\"Answer: -56*v + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -251 + 251.0398. Let v = j + 4.9602. What is the second biggest value in v, 4, -1\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(-2\/5))\/z)\/(z**(-1)*z)*z**(-2)*z**(-3\/5)\/z)**(-12\/13) assuming z is positive.\nAnswer: z**(36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*x**4 + 266*x**3 + 68*x**4 + 117*x**3 - 252*x**2 + 4 - 20*x**4 - 21*x**4 wrt x.\nAnswer: 336*x + 2298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -6*z + z + 4, 0 = 2*q + z - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -726 + 725.7. Put 5, h, -1\/10 in decreasing order.\nAnswer: 5, -1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/16*(-32)\/(-20). Let a(z) be the first derivative of -4*z**f - 8 + 2\/3*z**3 + 8*z. What is o in a(o) = 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -11*h**3 + 55*h**2 - 622*h + 4134. Determine p(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 6*u**2 - 7*u + 5. Let b be y(4). Let h(t) = -16*t + 5*t + b + 10*t. Let o be h(5). Solve -n - 20 = -o*n - 5*c, -3*c = -3*n + 12 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -2. Let p be 58\/(-18) + 2 + 1. Which is the third biggest value? (a) x (b) 4\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - -17. What is the highest common factor of 40 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17b - 73ac?\nAnswer: -7549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-1067*(2 + -1). Let w = y + 1066. Let b be 2\/(-4) - 2\/8. Does w = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1174*l + 6534 = 1177*l. List the prime factors of l.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aaauuauauuaau?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 36. Calculate the lowest common multiple of 128 and y(-7).\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20602991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16557 and 97\/29274?\nAnswer: 161563206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*s = -63, -3*o + o = -3*s - 9. Suppose 3*h + 24 = -0*h. What are the prime factors of (22\/h)\/((-3)\/o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.9 - -0.9. Let p = -9 - r. Let m = p + 0. Which is the third biggest value? (a) -2 (b) m (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -5, 3.\nAnswer: -5, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3485936 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -323.8? (a) 0.1 (b) -5 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) 5 (c) 4 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g + 87. Let i(t) = -t - 44. Let h(k) = -6*b(k) - 13*i(k). Let o be h(-7). Is o not equal to -8\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 9. Suppose 2*n = 4*n - l. Suppose -g + n*g - 14 = 0. Calculate the remainder when 40 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+14.31\nAnswer: 11.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*n**2 - 5 + 4*n + 12*n**2 - 2 - 5*n + 10*n**2 to j*n**2 + o*n + q and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of z + 8*z - 11*z**4 + 4*z wrt z?\nAnswer: -132*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -875118 times -0.5?\nAnswer: 437559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(3\/(150\/(-4)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144599011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 0.77\nAnswer: 14.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7*(-13)\/637)\/(16*(-5)\/(-70))*-7?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*n + 20*n - 31*n - 459*n**2 in the form u + a*n**2 + m*n and give a.\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.1 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 269723659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 17*n = 4*v + 1756, 5*n - 4465 = -5*v. Does 111 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(416)\/sqrt(2) - (sqrt(13) - sqrt(13)*1)*-4) + 5 + -5))**2.\nAnswer: 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*d - 7*d + 3*l - 45 = 41*d + 23*d, 4*d = -3*l + 40 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 2511?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/((-88)\/(-87) - 1). Suppose u - x = -u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 668.0179 - -7592.\nAnswer: 8260.0179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**3 + 3*f**2 + 3*f + 3. What is the tens digit of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 1 = -7. Let a = -2 + 4. Calculate the remainder when n is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -118.4 and -0.0332.\nAnswer: 3.93088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdebede. Give prob of sequence ede.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -128, -229, -356, -521?\nAnswer: -736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 - 126740*z**2 + 3798825*z - 28482750.\nAnswer: 5*(z - 25318)*(z - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4 - 26 = 0. Suppose 5*a = -c + 7, -3*c - 4*a + f + 5 = 0. Solve -5*k = -3*j - 19, -c*k + 4*j = -j for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3666)\/52*(22\/(-6) - -1). Which is smaller: 186 or s?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 8:57 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10)\/(-75))\/((-12)\/(-560)) and ((-112)\/(-48))\/(2\/(-18)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g**3 + 0*g**2 + 0*g**3 - 8*g**2 - 8*g - 3*g**3 - 7. Let k = -11014 - -11008. What is n(k)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32667 divided by 6?\nAnswer: 10889\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n - 10 = -20*n. Let x(z) = z**3 - z**2 + z + 8. Let j be x(0). What is the first derivative of -n - 18*r + 18*r + j*r**2 wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3689\/18 + 205. Let s(l) be the second derivative of -n*l**4 + 0*l**2 + l + 1\/30*l**5 + 0 + 0*l**3. Find q such that s(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 12*x + 1. Let q be s(-3). Suppose m = 2*m - 4, -4*v - 3*m - 44 = 0. Let z = v - q. Calculate the remainder when z is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c. Let i(n) = -50*n**2 - 6*n + 12. Suppose -28 = -10*b + 32. Let d(u) = -2052*u**2 - 247*u + 494. Let s(q) = b*d(q) - 247*i(q). Determine k(s(x)).\nAnswer: -266*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*u = 79*u - 167*u + 3208 + 2207 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 87589.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 75.\nAnswer: 9\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-7 + 1)*(-1100)\/330 and 0 - 2\/(-1) - 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 26*w + 29*w - 5 = 0, -65 = -5*y - 11*w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 - 19.95. Let y = -2.4 + 22.3. Let r = p + y. Sort 0, r, -0.3 in ascending order.\nAnswer: -0.3, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 139\/252 + -3\/28. Let k = 68 + -206\/3. Let h = -12.7 - -8.7. Which is the nearest to k? (a) v (b) h (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/(44\/(-10))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 48*b**2 - 11*b + 394. What is the lowest common multiple of 10 and x(45)?\nAnswer: 29870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 6*d + 3*b - 15 = 0, -2*d = -2*b + 10. Suppose 2*q = 3*m - 5, 5*q - 40 + 15 = -5*m. Solve -s + q*p = -2 - 2, 5*p = d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -2\/220763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 353136, 706194, 1059252?\n\"Answer: 353058*g + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-97)\/9 - 4\/18. Let p = 17 + z. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 340506578 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52248 by 311.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7577 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, a: 7, f: 4, v: 2, h: 3}. Give prob of picking 3 f and 1 q.\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p. Let c(r) = -r**2 - 5*r - 4. Let u be c(-3). Let h be y(u). Suppose h*l = -20, -l = 5*z + l - 35. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 592 = 4*u, 457 = 5*p - u - 295. What is the units digit of 14062\/8 - p\/(-120)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7584*n**5 + 8452*n**4 - 411184305*n**2 - 1 wrt n?\nAnswer: -455040*n**2 + 202848*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196 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: How many minutes are there between 8:49 AM and 3:49 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 6 = i + 4*v, -4*v + 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1365, -10909, -36819, -87279, -170473, -294585, -467799, -698299?\n\"Answer: -1364*b**3 + b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 308 = -3*z, 3*z - m - 323 = 3*m. Let v = z + -159. Let k = -33 - v. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -155, -171?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 4\/9, 0.992, 0.28?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 + 28*f - 30*f)*(0 + 0 - 2*f).\nAnswer: 4*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24699 is divided by 133?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 8. Suppose 0 = 2*l - 2 - 4. Suppose -l*t - 60 = -4*c, 2*t + t + 72 = 5*c. Let x be y(c). Solve 0 = -6*n + n - x for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q. Suppose 2*o + 2*i = 22, -2*i = -5*o - 4*i + 67. Let k = -13 + o. Let d(f) = 17 - 17 - 12*f**k. Calculate d(h(n)).\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 116, 229, 418, 683, 1024, 1441, 1934?\nAnswer: 2503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*t**2*v**3 - 29*t**2*v + t*v**5 + v**2 wrt v.\nAnswer: -102*t**2 + 60*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 v when four letters picked without replacement from eevevveevee.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 44 = 4*b, 3*b - x + 33 = 20 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 0*z**4 - z**4 + (-35 - 3*z + 35)*(-5*z**3 - 3*z**3 - 3*z**3) + (-2*z**4 + 3*z**4 + 0*z**4)*(-2 - 1 + 2).\nAnswer: 31*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(2*m - 4*m + 0*m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 790 - 86 = -3*u - 5*w, 3*u + 3*w + 702 = 0. Let y = u - -248. Solve 14 - y = -h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 - 3*k**2 + 6*k + 4. Suppose -5*s = -5*f - 0 + 5, 2*f = 3*s + 1. Let i(w) = w**3 + w. Let l(y) = s*a(y) - 6*i(y). Factor l(q).\nAnswer: -(q - 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/692190 and -139\/2538030.\nAnswer: 7614090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198225213 to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 28810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221992783 by 13058399.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 31665 (base 8) in base 5?\nAnswer: 410422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 0.15, -8?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -2. Let j = -15 + 10. Let s = k - j. Solve -s*h - 25 = 2*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1171 - 1175. Let f = -0.2 + 0.3. What is the closest to f in 0, -0.4, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 7*n - 36. Does 17 divide u(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 772480552 to the nearest integer?\nAnswer: 918","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -131 in -35\/11, 0.3, 1?\nAnswer: -35\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 663776745?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8 + 2*y**2 + 2\/5*y**3 - 8\/5*y.\nAnswer: 2*(y - 2)*(y + 2)*(y + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 0*n**2 + 7 - 9*n + 3. Suppose -a - c = -4*a + 25, 4*a - 30 = -2*c. What is u(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60)\/(-1*1*sqrt(2)))\/(sqrt(60)\/(sqrt(40)\/sqrt(36))))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39496089?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007501 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4361 - -5460. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 542 (b) 2\/25 (c) 6397\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.953517 grams to nanograms.\nAnswer: 2953517000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 8*r**2 + r - 16. What is h(7)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 7107786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**2 + 0 + 1\/6*x**3 - 8*x. Let t(b) be the second derivative of -7*b**4\/12 + b. Determine g(t(w)).\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 1:28 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 398.257 + -403.7. Let k = r + -0.227. Let a = k - -79.37. Round a to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) 5 (c) -87 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277196 is divided by 2498?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(1573) + 2 - ((sqrt(1573) - -1*sqrt(1573) - sqrt(1573))**2 + 5) - (1 + 1*(2 + sqrt(1573)))**2.\nAnswer: -3162 - 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d**2 + 626*d + 25069. Determine z(349).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 + 49*a**2 - 263*a + 215.\nAnswer: -(a - 43)*(a - 5)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttmpttttplttlmlu. Give prob of sequence lulu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18+-2718.285038829\nAnswer: -2736.285038829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13890398 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 42*p. Let x(t) = 5*t. Calculate 35*x(y) - 5*z(y).\nAnswer: -35*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by 26?\nAnswer: -7\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11172 divided by -84.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -258, -6148, -15964, -29706?\n\"Answer: -1963*y**2 - y + 1706","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f + 14. Let t be (-9)\/15 - 36\/15. Calculate the remainder when 20 is divided by d(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7878, 7885, 7916, 7983, 8098?\nAnswer: 8273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.718132g in tonnes?\nAnswer: 0.000006718132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2760657900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*a, -3*h - 5*a + 23 = -167. Let f = 119 - h. Does 28 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**2 + 208*g + 186*g - 382*g - 3 as a*g**2 + l*g + b and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -141*a - 4. Let m(c) = 3 + 5*c + 4*c**2 - 4*c**3 + 3*c**3 + 2*c**3. Let b be m(-3). Is n(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 95316 by 47.\nAnswer: 2028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1651219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2508*m. Let u(d) = 33 + 41 - 19 - 4*d**2 - 55. What is b(u(r))?\nAnswer: -10032*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**2 - 5*k. Let a(w) be the first derivative of 5*w**4\/4 + w**3\/3 - w**2\/2 - 6. Let q be a(1). Let i(l) = -27*l**2 - 12*l. Give q*i(y) - 12*x(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(70)*5)\/sqrt(10).\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -13 + 3. Let l(c) = 39*c - 23. What are the prime factors of l(w)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ie when two letters picked without replacement from eoio.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*h - 430 - 149 = -137. Which is the closest to 13? (a) 3\/2 (b) 0.5 (c) -0.2 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -5*s**2 - 244*s + 315. Determine d(-50).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461, 960, 1497, 2072, 2685?\nAnswer: 3336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -948, 1\/3, 2\/13, -13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 4:43 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -11\/55894655 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 17, u: 2}. What is prob of picking 1 u and 1 h?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -90*y**3 - 24*y**2 + 24. Let p(w) be the second derivative of -9*w**5\/10 - 5*w**4\/12 + 5*w**2\/2 - 27*w. Determine 5*h(k) - 24*p(k).\nAnswer: -18*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2. Let t(m) = 7*m + 3*m - 7*m. Calculate o(t(w)).\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -538\/1059747?\nAnswer: -538\/1059747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*q**3 + 0*q**3 + q**3 + (q + 0*q + q)*(q**2 + 0*q**2 + 0*q**2) - 3*q**3 + q**3 + 3*q**3 + 6008*q**2 + 277*q**3 - 6008*q**2)*(-3*q**2 + 3*q**2 + q**2).\nAnswer: 273*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101000 + -100001?\nAnswer: -10000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uma when three letters picked without replacement from {m: 1, y: 1, e: 3, o: 3, u: 2, a: 8}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 578 greater than 576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -131*j**3 + 12980*j**2 - 7632*j + 80 wrt j?\nAnswer: -786*j + 25960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -20.5. Are 0.1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -31, -0.09, -5?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 462243.708 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 6*w**2 + 4. Suppose -2*p + 21 = 5. Suppose 3*q - p = 5*f, 3*q = f + 8 + 8. Let t be y(q). Solve 4*g = -8 + t for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -44 + -33 - (0 - 33)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = -22*k - 3*k. Solve -k*u + 24*u + 15 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 - u**2 + 2*u. Let r = -5 + 3. Let m be p(r). Suppose 0 = b - 3*b + m. Solve -b*w + 5*w = -3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210496*7\nAnswer: 1473472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360, -1103, -2224, -3717, -5576, -7795?\nAnswer: -10368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.44997 * 1.\nAnswer: 0.44997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07753 rounded to three dps?\nAnswer: -0.078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-65)\/(-13) - -2*4. What is the units digit of -5 + f*21\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rzgzgzqryqyzqqzqyyyr. What is prob of picking 1 q, 1 r, 1 y, and 1 z?\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1728)*4 - (-4 + sqrt(48) + -3)**2.\nAnswer: -97 + 152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -37.25 * 0.1\nAnswer: -3.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5725 - 5206. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2716*q**3 - 2724*q**3 + 5466*q**3.\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -x - 5*j, 3*j = 4*x - 5 - 16. Suppose x*y = 8*y - 250. Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57\/2 of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*d + 5, 3*d + 4 = -4*g + 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3496*j + 13957*j - 3474*j - 3490*j - 7*j**3 - 3497*j.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 4, 0.4, 20, 146, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 1 = 9*z. Which is the second smallest value? (a) -18 (b) -5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3735 times 0.2?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 13.1. Let z = -8 + d. What is the second biggest value in 2\/7, z, -0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.679234 + 50.68. What is n rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4632 (base 8) to base 3\nAnswer: 10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 16943, 16927, 16911, 16895?\n\"Answer: -16*w + 16959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10050 (base 6) in base 2?\nAnswer: -10100101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 + 5*m**2 - 3*m**2 + (10*m - m - 4*m)*(-6*m + 5*m + 8*m).\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104, -181, -244, -293, -328, -349, -356?\n\"Answer: 7*g**2 - 98*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*s - 14 = 0, 2*a + 5*s + 6 = 20. Solve -z - 2*j - 1 = a*z, 0 = -5*j + 20 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.08018 minus -26862?\nAnswer: 26821.91982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11066 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 + 1. Let v(f) = f**3 + 6*f**2 + f - 5. Let x = -758 - -753. What is x*g(a) - v(a)?\nAnswer: -a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20417?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -4*p + 17, -5*p + 1 = 2*u - 15. Solve 5*r + 10 = 5*v, -p*v + v - r + 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -16*m + 537. Determine q(27).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 1273?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence its when three letters picked without replacement from {z: 2, t: 2, s: 2, b: 1, i: 1, j: 1}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -2222?\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1977525246 - -1977526206.999331. Let q = m - 961. Round q to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51772 is divided by 475.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 6 = v + 3*v, 3*b - 10 = -5*v. Suppose 5*s - 33 = 5*l - 8, -3*l - 2*s = -b. Solve l*f + f = 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 787030 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -43 - -51. Suppose 0*y = -3*y + 5*p - m, 28 = 5*y + 2*p. Solve 0 = c + y*c - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -624.7 + 629.7. What is the closest to 3 in 25\/8, v, 4?\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 121, 208, 293?\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2261 + 770. Suppose 3*n = -5*z + x, -4*z + 8*z - 2420 = -4*n. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -391*g**4 + g**3*t - 2*g - 29*t wrt g.\nAnswer: -4692*g**2 + 6*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**3*d**2 + 41685837*a**3 + 35*a**2*d**2 - 2*a**2*d - 2*a**2 - 204*a + 7*d**2 + 1 wrt a.\nAnswer: 54*d**2 + 250115022","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 44*v = -3*k - 21, -v = 5*k + 35. Let t be (-3)\/(-2) - 3\/(-6). Solve -j = -3*q + 9, 3*j = t*q - v*q + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 663?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-10))\/(((-9)\/24)\/3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddxpdcjxddxxxdcp. What is prob of picking 2 p and 1 x?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43*b*o*s - b*s + 46*b - 6*o*s + 2*s wrt o.\nAnswer: 43*b*s - 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of -2\/15*s**5 + 0 + 0*s**4 + 0*s**3 - s**2 + 0*s. Let p(a) = 2*a**2. Give p(y(j)).\nAnswer: 128*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 72 and 113972776.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62392, -62393, -62396, -62401, -62408, -62417, -62428?\nAnswer: -62441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s + 8. What is x(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 793399883 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 divided by -3.\nAnswer: -91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 - -0.5. Let w = q + 0.93. Let z = 15\/7 - 68\/35. What is the closest to w in 0, -0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 12. Let w be m(4). Let p be (6\/(-18) - 28\/6)*-1. Suppose -p = -l - 3*d, -3*d - 3 = -5*l + w. Is 1 greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -69.4. Put 2\/3, w, -5, 0.1 in increasing order.\nAnswer: -5, 0.1, w, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14*j + 207. What is l(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and -7392?\nAnswer: -29568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.069808 + -2711659.\nAnswer: -2711659.069808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 14*j**2 + 3. Let q be i(-14). Determine b, given that -4*b**2 + b**3 - 12*b**4 - b**3 + 0*b**q - 16*b**3 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46536)\/14404 + (-3)\/(-26)*2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5252.522 millimeters in kilometers?\nAnswer: 0.005252522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.24 - 0. Let m = s - -0.04. What is the third smallest value in m, -5, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 9\/11 - 18315\/(-1089). Suppose -m = -x + 1512. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -5*v + 3*s - 4*s, -4*s = 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(405)*-2 + 3*(-1 + sqrt(405) + sqrt(405)))**2 + -1)*3.\nAnswer: -3240*sqrt(5) + 58542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 7:34 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auau when four letters picked without replacement from {u: 4, a: 4, s: 6}.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.3489mg to grams.\nAnswer: 0.0713489","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 4*y**2 - 3*y**2 + (y - 3*y + 0*y)*(0 - y + 0) + 62*y - 62*y - 9*y**2.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 639363 = 159*t + 222360 - 1467306. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i - 9. Let z be b(6). Suppose z*q - 4 - 2 = 0. Suppose 78 = 3*m - q*f, 3*m + 4*f = -f + 99. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j**3 - 5*j**2 + 5*j + 9. Calculate the lowest common multiple of p(-3) and 401.\nAnswer: 1203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 87010.03ug?\nAnswer: 0.00000008701003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*d + 1 - 1.\nAnswer: 163*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23007 rounded to the nearest 100?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 286 + 0*h - 274 - 8*h with respect to h.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 4, p: 6, u: 5}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22270 - 21806. What is the highest common divisor of 72 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249163 is divided by 7327.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100 (base 2) to base 5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 282. Let j = m - 204.0097. Round j to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y - 40. Suppose 0 = n + 4*h - 2937, y*n = 3*n - h + 14723. Suppose -n = -5*b + 3270. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172306092?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -n + 3. Is -2*(-7)\/(n\/20) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -3, 6, -5 in descending order.\nAnswer: 6, 2, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 26*j**2 + 24*j - 51. Let i be q(-27). What is the highest common factor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4567830*b - 7*b**2 + 32*b**3 + 4567830*b.\nAnswer: 32*b**3 - 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*x = 2*s - 47, -3*s = 4*x - 77. Let h = s + -13. Suppose -i = w - 2, -3*i + w + 6 = 2*w. Calculate the highest common factor of h and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x - 9 + 9. Let z(l) = 2*l**2 - 1 - 2 - 4*l**2. Let y(c) = -3*c**2 - 4. Let n(b) = -3*y(b) + 4*z(b). What is s(n(k))?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 1db0?\nAnswer: -1daa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -35, -41, -47?\n\"Answer: -6*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-289586)\/(-24) - (27 - 323\/12). Which is smaller: p or 12064?\nAnswer: 12064","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 30 - 29)*(4*u**4 - 5*u**4 + 4*u**4).\nAnswer: 117*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 46\/138 + (-19232)\/(-12). What is the greatest common factor of g and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -59537300 to the nearest 100000.\nAnswer: -59500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2872 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.6299 millilitres in litres?\nAnswer: 0.0116299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 5\/(25\/2). Let r = -1.99 + -0.01. Let o = -3 - r. Which is the third biggest value? (a) o (b) h (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -47314413.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 652.02291s to hours.\nAnswer: 0.181117475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-21)*-18 - ((-1245)\/(-42))\/(-5).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.01, 0.168, -13, 55?\nAnswer: 0.168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/427 or -1?\nAnswer: 10\/427","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4139 - -4349. Solve 51*b + t = 16*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -460, 849, 3922, 8759, 15360, 23725?\n\"Answer: 882*l**2 - 1337*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-8))\/c**(-18)*(c*c**2*c)**(-42))**24 assuming c is positive.\nAnswer: c**(-3384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2885\/1177 + -4\/1177. Let f = y + 43\/22. Which is the second biggest value? (a) 3 (b) 5 (c) f (d) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*w**2 - 2 + 3 + 3 - 2 to t*w**2 + z + k*w and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-28))\/(2\/1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(-132*n + 4 - 3 - 124*n).\nAnswer: 512*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*n**4 - 2*n**3 - 56*n - 48*n**2 + 1 + 58*n + 46*n**2 to the form a*n**2 + h*n**3 + b + z*n**4 + m*n and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 28 = -2*q - 4*s, 0 = 4*q + s - 46. Suppose 70 = -7*l + q*l. Calculate the greatest common factor of 21 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*h = -3*h - 2, 2*l - 2*h + 20 = 0. Let r = l + 25. Calculate the remainder when r is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19394867 and 73761.\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-23114\nAnswer: -9245.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1145*l - 1400 = 1345*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17211079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one eighths of a week?\nAnswer: 26460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 71\/16, -3\/5, -3, -23, 5 in ascending order.\nAnswer: -23, -3, -3\/5, 71\/16, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 5*c**3 - 3*c**2 - 4*c + 4. Let m be f(3). Calculate the common denominator of (-9)\/18 + m\/6 and -7\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 7:17 PM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -20051, -40082, -60113, -80144, -100175?\n\"Answer: -20031*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3918, 32, -4\/27, 5 in decreasing order.\nAnswer: 3918, 32, 5, -4\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -119*q - 117. Let t be r(-1). Let p(x) = -1066*x**3 - 143*x**2 + 143*x. Let f(c) = 15*c**3 + 2*c**2 - 2*c. Give t*p(b) + 143*f(b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 122 + 23 = -3*b, -80 = -4*r - 2*b. Suppose 472 = 2*k + 5*u, -3*k = -k - u - 460. Calculate the greatest common factor of k and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 4*x + 6, 4*v + 3*x = -28 + 36 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26? (a) -0.1 (b) -1027 (c) 0.3 (d) 20.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/2)\/4*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, i: 9}. Give prob of picking 2 i.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 2 (c) 1\/48 (d) -0.6 (e) 1 (f) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*p - 12 = 3*p, -2*y = -2*p - 12. Suppose 3*s + 0 - 6 = 0, -19 = -y*d - 5*s. What is the closest to 1 in 0.06, -4, d?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o**3 - 666*o**2 + 2*o**4 - o**4 - 2*o**4 + 662*o**2 - 2 as d*o**3 + p*o**2 + r + k*o**4 + q*o and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 2, y: 4, t: 1}. What is prob of sequence ty?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*l**2 + 40\/3*l**3 + 2\/3*l**4 + 0 - 36*l = 0. What is l?\nAnswer: -18, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 - 23. Let u = b + -6. What is the first derivative of u - 3 - 2*x**2 - 2 + 0 wrt x?\nAnswer: -4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9145 a factor of 3954326735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 + 60?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 3)\/(-2 + 4). Sort t, 2, 0 in decreasing order.\nAnswer: 2, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(8\/3))\/(a**(1\/69)*a) assuming a is positive.\nAnswer: a**(61\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**3 + 22*z**2 - 32*z + 143. Is f(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 0*l**2 + 3*l**2. Let g(u) = u**2. Determine g(m(z)).\nAnswer: 4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**2 - 4*j + 56. What is v(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2a7 (base 11) to base 5\nAnswer: 2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -9*a**3 + a**2 + a - 2. Let b be d(3). Let p = b - -377. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 4*l - q + 7, 0 = -l - q - 4. Let v be 4 + l\/(-63)*-39. Let m = 0.7 + 0.3. Sort 3, v, m in ascending order.\nAnswer: v, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 4*t - 691 = 3*t, y - 4*t - 226 = 0. Let c(s) = -4*s + 225 + 3*s**2 - 4*s**2 - y - 2*s**3. Let i be c(-5). Round i to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12590 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-46)*23)\/(2\/23)?\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + q = -4, -3*l + 7 = 5*q + 27. Suppose l = j - 5. Suppose z - 5 = j. Calculate the greatest common divisor of 5 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 4:22 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8413 + 8425. Which is the fifth smallest value? (a) -0.5 (b) p (c) 0.2 (d) 2 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39788 divided by 1572\nAnswer: -9947\/393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-128)\/12)\/(-16)*(-4 - (-1406)\/108) - 6\nAnswer: 1\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 3*sqrt(1008) + sqrt(1008) + 2)**2.\nAnswer: 240*sqrt(7) + 25204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -312858 divided by 546\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3785*i**2*o**3*y + 12*i**2*o**3 + 9*i*o**3*y - 94*o**3*y + 18*o**3 wrt i?\nAnswer: 7570*o**3*y + 24*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**2 - 4*m**2 - 17140*m**3 - 2*m**2 - m**2 + 5*m**2 + 17186*m**3.\nAnswer: 46*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(2) + (sqrt(2) + -1)*1.\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*y**2 + 757*y - 760*y + 6 - 8 + 34 + 2*y**3 as x*y + i*y**2 + o*y**3 + u and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11460810.\nAnswer: 2, 3, 5, 103, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 313623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**3\/4 - 315*j**2\/2 + 1263*j\/4 - 158 = 0. What is j?\nAnswer: -632, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 7}. Give prob of sequence aa.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 84654 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/27 and 31\/117.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**4\/c)\/c)\/c*c**5)\/(c**(1\/2)\/c**(1\/3)) assuming c is positive.\nAnswer: c**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -7660 and 0.052?\nAnswer: 7660.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = -17. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 19*o**2 + 45*o - 39. Let j be m(21). Suppose 15*u = 9*u - j. Suppose 7*y - 3*y + 12 = -w, -w - 13 = 5*y. Put u, 1, w in descending order.\nAnswer: 1, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(210)\/(sqrt(7) - sqrt(63)))\/(-6*-2*sqrt(6)).\nAnswer: -sqrt(5)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920)*1 + sqrt(7920))\/(sqrt(11) + sqrt(891)*1).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 533755, 1067524, 1601317, 2135146, 2669023, 3202960?\n\"Answer: 2*i**3 + 533755*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*c**4 + 7100*c**3 + 21060*c**2 - 25820*c - 2516 = 0. Calculate c.\nAnswer: -37, -17\/4, -1\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 65 = 15. Let x be (3 - 2) + (12 - -2). Let o = x - d. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1071 divided by 51?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 193 - 87. What is the remainder when c is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*21 + (6 - (10 + 1)). Solve -124 + 244*k - 10*k**3 + c*k**3 - 2*k**3 - 3*k**3 - 116*k**2 - 5*k**3 = 0.\nAnswer: -31, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -20) + -5 - 1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 times 3493143?\nAnswer: 1156230333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1134045 (base 6) to base 9\nAnswer: -100202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.32 in -0.2, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -7*b - 238. Suppose c = 5*d - 2*c - 5, -4*c + 16 = -d. Calculate the remainder when d\/3*(-234)\/(-12) is divided by r(-36).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12442 (base 9) to base 16.\nAnswer: 20bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 + -14. Let h = 1016 + -1014. Calculate the smallest common multiple of b and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1836*d - 79*d**2 - 1836*d.\nAnswer: -79*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 107447638 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 400944654 to the nearest integer?\nAnswer: 20024","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/11))**(-21\/4) assuming q is positive.\nAnswer: q**(-21\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a minute?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/12 + -1)*(-18)\/12.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 5 - 18. List the prime factors of m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 5*h + 16. Let u(l) = -2*l - 8. Suppose -41*d = -62*d + 63. What is d*p(a) + 7*u(a)?\nAnswer: a - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 102.3 * -0.0284\nAnswer: -2.90532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256299012.\nAnswer: 2, 3, 2373139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024905 to 4 dps.\nAnswer: -0.0249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2794 + 2773. Put -80, 2\/13, l, 5 in descending order.\nAnswer: 5, 2\/13, l, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**7\/126 - 4*g**6\/45 + 17*g**5\/60 - 5*g**4\/18 + 12*g - 23. Factor q(m).\nAnswer: m**2*(m - 5)*(m - 2)*(m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1169269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*t - 87*t - 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 49*m = -28. Which is the closest to 1\/72? (a) -0.01 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 58*h**3 - 450*h**2 - 140*h + 539*h**2 + 50*h**3 + 643*h**2 + 444*h**2 - 88.\nAnswer: 4*(h + 11)*(3*h - 1)*(9*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 4, c: 1, y: 1, g: 2, b: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 99. What is the remainder when c(-38) is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*f**2 - 2\/9*f**3 - 68\/3 - 310\/9*f = 0.\nAnswer: -51, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*k + 197*k + 6711 + 4081 = 0 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 165 = 35*q. Let f(l) = -6*l + 0 + 4 - 2*l + 5*l**2 - l**3. Let x be f(q). Put x, 0, 8 in decreasing order.\nAnswer: 8, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 7*b + 24 - 17)*(-4 - 4 + 6).\nAnswer: 14*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 11:45 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n*v**6 + n*v**4 - 2*n*v**2 - 42*n*v - 2581*v**4 + 3*v**2 - 246*v wrt v?\nAnswer: -240*n*v**3 + 24*n*v - 61944*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3.9 times -5\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78) + 2*sqrt(78))*-1 + -1*(sqrt(78) - (4*sqrt(78) + sqrt(78))))\/((1*sqrt(42))\/sqrt(7) + sqrt(96)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 - (-4*(-1)\/4 - -1). Let a be -3 + 1*(0 - z). Let o = 102 - a. What are the prime factors of o?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/3, -250061, -1\/66, -1 in decreasing order.\nAnswer: 2, -1\/66, -1\/3, -1, -250061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) -1450.3 (b) -13 (c) -0.39 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1185*s**2 - 1 + 396*s**2 + 400*s**2 + 1 + 388*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -9797, -0.3, -4 in increasing order.\nAnswer: -9797, -4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**5 - 3*g**4 + 7*g**3 + 3*g**2 - 5*g - 3. Let a(n) = 2*n**5 + 4*n**4 - 8*n**3 - 4*n**2 + 6*n + 4. Let c(l) = 3*a(l) + 4*i(l). Factor c(s).\nAnswer: -2*s*(s - 1)**2*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -30059413*c. Let j(v) = 2*v**2. Give d(j(x)).\nAnswer: -60118826*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**3\/6 - 37*k**2\/3 + 71*k\/2 = 0. Calculate k.\nAnswer: 0, 3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 8412736.7?\nAnswer: -8412732.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -69. Let f = h + -47. Let t = 1 - 1. What is the second biggest value in t, -2\/5, f?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(500) - sqrt(500)) + 3 + (-4 + sqrt(500)*-1 + sqrt(500) - sqrt(500)))**2 + -5 + 1.\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -233792, -233644, -233496, -233348, -233200, -233052?\n\"Answer: 148*y - 233940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255 - 976. Find the common denominator of (-8)\/(-20) + a\/(-60) and 17\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-84)\/(-8))\/3*80. Suppose n = -18*o + 19*o. Calculate the highest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*k + 29, 2*k + 2*g - 69 = -3*k. Let u(r) = -24*r**3 - r**2 + 1. Let q = 13 + -14. What is the remainder when u(q) is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 665, 1994, 4481, 8498, 14417, 22610?\nAnswer: 33449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -315.72+360931\nAnswer: 360615.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -224179*l**5 - 4933*l + 10 wrt l.\nAnswer: -4483580*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 8*m + 3. Let l be v(7). Let a = l - -32. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -280 - -338. Suppose 5*n - 4*m = 52, -2*n + m = 3*n - l. Solve 2*c = -2*c + n for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1965285 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67821874 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/5)*c**(10\/9)\/c*((c*(c**(-1)*c)\/c)\/c)\/(c\/(c*c*c**(3\/2)*c)) assuming c is positive.\nAnswer: c**(289\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -21708814*l**4 + 20180932 wrt l.\nAnswer: -86835256*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1465*g**2 - 236*g + 3557 - 231*g + 693*g - 226*g wrt g.\nAnswer: -2930*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20431\/21450 + 2\/975. Calculate the common denominator of f and -43\/376.\nAnswer: 4136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/34 and -15\/17?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + (14 - 29) + (-2 - (1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10015 - 1465*k**2 + 10015.\nAnswer: -1465*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w**2 - 9*w**2 - 16 + 15 + 1 - 248*w in the form y*w + k + m*w**2 and give y.\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*3*sqrt(91)*-6)\/(1*1*sqrt(343) + sqrt(343) - sqrt(343))*-6)**2.\nAnswer: 3790800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5*a + 35, -w - 3*a = -7*a + 1. What is the remainder when w is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, k: 1, u: 1, d: 2, v: 1, i: 2}. Give prob of sequence kud.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/424 and 83\/16.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**2 + 2. Let f(a) = a**2 + 366. Calculate -f(r) - 3*y(r).\nAnswer: 5*r**2 - 372","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-12)\/(-18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-4\/13)\/d)\/(d\/d**16))\/((d**25*d*d*d*d)\/(d**(-5\/7)\/d)) assuming d is positive.\nAnswer: d**(-1549\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*j**3 + 1687532293503*j - 1687532293503*j.\nAnswer: -11*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -68*s + 71*s. Solve -63*k = -62*k - s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + (-4 + sqrt(72))**2)*6.\nAnswer: -864*sqrt(2) + 1602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -170548, -341237, -511926, -682615, -853304, -1023993?\n\"Answer: -170689*m + 141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.065318 - 1085.175318. Let u = h - -1090. Let i = u + 0.11. Which is the nearest to 0.2? (a) -1 (b) i (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + (-119)\/35 - (2 + (-146322)\/30)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 - 112203?\nAnswer: -112122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 13 + 12*f - 4*f**3 + 5*f**2 + 4*f**3 + 7*f**2. Let l be x(-11). Solve l*y - 3*z + 16 = 0, 3*y = -z - 2 - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - ((-16)\/52)\/(12\/(-78)). What is the greatest common divisor of p and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/20*(2 - 10\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(700) + 1 + sqrt(700)*-2)**2.\nAnswer: -20*sqrt(7) + 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1835*h**3*j - 48321*h**3 + 1479*h**2*j - 163*h**2 - 4*h*j + j wrt h?\nAnswer: 11010*j - 289926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1548 = 3*b + 3*r, -r - 1583 = -3*b + 3*r. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 818 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*f + f - 2*f)*(4*f + 5*f - 20*f)*(0*f**2 - 3*f**2 + 5*f**2 + (-2*f + 7 - 7)*(0*f + 0*f - f)) to k*f**4 + w*f + b + a*f**2 + v*f**3 and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000278 rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 926827 + -3?\nAnswer: 926824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, c: 7, j: 2, q: 2, s: 4}. Give prob of picking 1 j, 1 l, and 2 c.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d + 141. Give y(-51).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 640 and 370620?\nAnswer: 11859840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -3917348.\nAnswer: 7834696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/2136 and 53\/36.\nAnswer: 6408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5232606 - 392509.1.\nAnswer: 4840096.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3469 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(720)*2 + 1 + sqrt(720))**2*2*1.\nAnswer: 144*sqrt(5) + 12965","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let l(t) = -4*t**3 + 337*t**2 - 10*t. What is l(k) - 5*y(k)?\nAnswer: -4*k**3 + 337*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -143183 > -143183?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17b + 43?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/7084 and -17\/5152.\nAnswer: 56672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + y = 66, 182 = 4*t + y + 48. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than 7.76?\nAnswer: 8.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfxvxnjjxxjjxjfxiv. What is prob of sequence nf?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -w**8\/80 - 19*w**7\/280 - w**6\/8 - w**5\/40 + w**4\/4 - 4*w**3\/3 - 1. Let n(i) be the third derivative of v(i). Factor n(r).\nAnswer: -3*(r + 1)**3*(7*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1161567702 to the nearest integer?\nAnswer: 34082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1977, -1966, -1955, -1944?\n\"Answer: 11*h - 1988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 12*k + 12. Let q be v(12). Let z be 34\/8 + 9\/q. Let f(o) be the second derivative of o**3\/3 - 2*o**2 - 8*o. Determine f(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -38*w + 9 + 37*w + 13. Let k be f(19). Solve -5*x + k*h - 25 = -0*h, -5*x = -h + 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/56 + 1\/56. Let j = -11.84 + -0.16. Let l = j + 12. Sort g, -0.2, l in descending order.\nAnswer: g, l, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 2, 2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -13624*s + 217966. Determine o(16).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*i**2 - 7*i**2 - 3*i**2 + (-24*i + 15 - 15)*(3*i + 0*i - 2*i).\nAnswer: -25*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -9 - 0) + -6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -5*n + 152498, -60996 = -2*n + 2*b + 2*b. What is n rounded to the nearest one thousand?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123 + 5.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zvz when three letters picked without replacement from {z: 14, v: 5}.\nAnswer: 455\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 1)*(-25*g**3 + 13*g**3 - 55*g**3) - 7*g**3 + 2*g**3 + 3*g**3 - 7*g**3 + 3*g**3 + 5*g**3.\nAnswer: 200*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 11 = -4*d - i, 4*d + 2*i = 14. Let y = -6 - 0. Let g = y + 1. Which is the closest to 0.4? (a) d (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 12*g**2 - 21*g - 9. Let x be u(10). Let a = -17 - x. Calculate the highest common factor of a and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9774022 is divided by 67407.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2655689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075706 is divided by 1570?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2800 and 980.\nAnswer: 19600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/7 (b) 5 (c) -72 (d) -0.1 (e) -187\/2 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 402 is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 5*n - 15, 3*n + 2*o + 13 - 18 = 0. Suppose 0 = n*x - 2*p - 1655, -974 = -x - 2*x + 5*p. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**5 - 144*s**4 + 3357*s**3 - 17960*s**2 - 21900*s + 198000 = 0. What is s?\nAnswer: -165, -3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 301, 311, 315, 307, 281?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 23 = 5, 0 = -26*j + 4*k - 367 + 233 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1555105960?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -9. Let l be -2*(-2)\/v*73. Round l to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*h - 0*h. Let z(v) = -4 + 0*v - h + 2*v. Suppose -10*t + 9 = -31. Determine z(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(-1 - 4*s + 1)*(5 - 2 - 1)*(3*s - 5*s + s + (1 - 1 + 2*s)*(4 - 4 - 1) + 3*s - 3*s + 4*s) in the form i*s**2 + u + n*s and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - 2*i)*(338 - 800 - 479)*(4 - 2 - 1).\nAnswer: 1882*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/4 + 19315*f\/4 + 115170.\nAnswer: 5*(f + 24)*(f + 3839)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*b, b + b = -g. Calculate the remainder when g + 17 + -4 + 0 is divided by 7 - (3 - 3)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 651*s**2 + 2*s - 654*s**2 + 3*s - 5*s.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o - 2. Let h(c) = -9*c - 2. What is 7*h(g) - 6*j(g)?\nAnswer: -3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 15e2866?\nAnswer: 15e285e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -244, -641, -1280, -2203, -3452, -5069?\nAnswer: -7096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2584\/(-221))\/8*-13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 2*t - 3*v = 97, 4*t = -5*v + 48. Calculate the remainder when -11*(-2)\/(-4)*-12 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31597254?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/84)\/(-13) + 6\/(-21).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 10 - 2, 0 = -2*o - 4*p - 16. Suppose 5*x - 2*f + 4 = o, 2*x + 4*f = 3*f + 2. Which is greater: x or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5545 + 5581. Calculate the greatest common factor of 774 and u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 2*s + 7. Suppose 3*y - 12 = 0, 2*y = -p + 4*p - 31. Let t(f) = -5*f - 15. Determine p*v(k) + 6*t(k).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-482*i + 252*i + 1775*i)*(i**3 + 2*i**3 - 5*i**3)*(-2 + i + 2).\nAnswer: -3090*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = -3*l - 3, -l + 12 - 13 = -2*v. Put 8, l, -5, -37 in ascending order.\nAnswer: -37, -5, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d3e6 (base 16) to base 3.\nAnswer: -20002022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-10)\/(-3) - (425\/51)\/(-5). Solve d*a + 56 = 41 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 14) to base 12.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Suppose -s*r = -r. Is r smaller than 1\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 2*y - 15632. Let d(k) = -k. What is d(j(s))?\nAnswer: -2*s**2 - 2*s + 15632","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -710643949?\nAnswer: -710643948.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 591*x - 947?\nAnswer: 591","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*a - 836, 5*r - 840 = -2*a + 8*r. Suppose -5*n - a + 574 = 0. Solve 4*q + n = 5*i, -2*q - 2*i = 2*q + 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**4 + 0 + 0*j - 3\/50*j**5 - 1\/75*j**6 + 9\/10*j**3 + 12*j**2 - 1\/1050*j**7. Solve c(d) = 0 for d.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2435849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 - 166 = -y. Let g be 33\/9 - 2\/(-6). What is the least common multiple of (g\/6)\/(3\/243) and y?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(110) - (sqrt(110) + sqrt(110)*4)*1)*6)\/(6*5*(sqrt(1210) + sqrt(1210)*2)).\nAnswer: -4*sqrt(11)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 76 = 4*u + 30, 10 = -5*y. Let d = -13 - u. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 24*r - 5. Calculate o(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 135410496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 13509 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -507 + 513. Suppose 5*y + 2*g - g - 1792 = 0, 2*y = -g + 715. Suppose -2*t = -u - y, 181 = t - 5*u + h. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 1. Let t(g) = -2*g + 21*g - 11*g - 8 - 2*g. Let h(n) = 2*i(n) - t(n). What is the remainder when 26 is divided by h(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2724753 times 7?\nAnswer: 19073271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 684987 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {f: 17, j: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 294 and 91042.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 35 = -9*k + 8*k, 3*k = 2*n - 39. Let o = -12 + n. Suppose -o*b = -19 - 1313. Is 37 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/3992269 or 1?\nAnswer: -12\/3992269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -302 + 451. Let j = x - 1337\/9. Suppose 6 = 2*m - 2. What is the third smallest value in m, -2, j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3946*f**4 + 3*f**3 - 23*f**2 - 3882*f wrt f?\nAnswer: 94704*f + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -191 - 1?\nAnswer: -192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5*(1 + 3*(5 + (sqrt(304) - 1*sqrt(304))) + (-1 + sqrt(304) + 0 - sqrt(304) - (2 + sqrt(304) + 0))))**2.\nAnswer: -5200*sqrt(19) + 23650","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26.3816728394 - -0.6183275906. Let n = 32437 - 32410. Let h = n - s. What is h rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170266688 to the power of 1\/2, to the nearest integer?\nAnswer: 13049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 741417?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-73023)\/606)\/(1\/(-2)) is divided by 40?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 61. Let k = j + 54. Solve 0*l + 6 = -4*l + 5*z, -k*z = -10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -849*u - 654*u - 848*u + 374792 = 1908*u for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/7)\/r*r*(r\/r**(-2\/25))\/r*r assuming r is positive.\nAnswer: r**(239\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 60*w**2 + 112*w + 52.\nAnswer: 4*(w + 1)*(15*w + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/2 - 439495*l**2\/2 + 48289183503*l\/2 - 48288744009\/2.\nAnswer: (l - 219747)**2*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 498 divided by 5.\nAnswer: 498\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(2\/11)*p*p\/p**3*(p**1)**28*(p*p\/((p\/p**(-1))\/p)*p*p**(-2\/11))\/(p**(-2)\/(p\/p**(-1\/4))) assuming p is positive.\nAnswer: p**(129\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 4, -0.11.\nAnswer: -0.11, 3\/4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -2 - 1\/6*q**4 + 0*q**3 + 66*q + 0*q**5 + 0*q**2 + 1\/15*q**6. What is l in j(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184819349 = -297*u - 25514786. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72230.37 nanometers in kilometers?\nAnswer: 0.00000007223037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 19. Let k(s) = 3*s**2 - 37. Give -5*b(a) + 2*k(a).\nAnswer: a**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -2.8. Let o = 10.166 - 7.166. Let k = 653\/7 - 93. Put 0.3, o, k, h in descending order.\nAnswer: o, 0.3, k, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9\/(-2)*(-80)\/(-120) + 8. Suppose 39 = z*n + 49. Which is the second biggest value? (a) n (b) 4 (c) -94 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39605607 a multiple of 1394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -2714.4208333133?\nAnswer: -2714.2208333133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*s**3*v**2 - 1453*s**3 + 181*s**2*v**2 - 305*s*v**2 - 32462*s*v - 2*v wrt s?\nAnswer: 216*s*v**2 - 8718*s + 362*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110784 divided by -407?\nAnswer: -110784\/407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v**2 - v**2 - 4*v**2)*(-597*v + 238*v - 2 - 484*v) as u*v**2 + g*v**3 + l + m*v and give g.\nAnswer: 1686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4025 = -5*i, -8*i = -6*i - q - 1616. Let w = 1412 - i. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 - (-1)\/(2\/10). Suppose -a = b - 5*n - 0, -b = 5*n - 13. Solve 3*m - 1 = 2*g, b*m - 1 = 4*g - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the second derivative of k**5\/20 + 2*k**4\/3 + 17*k**3\/6 + 11*k**2\/2 + 26*k - 2. Let b be r(-5). Which is smaller: 548 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000019546032 rounded to 6 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*l + 28*l**2 - 224*l.\nAnswer: 28*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 13*b**2 + 10*b - 18. Let y be p(-12). Let f be y\/3 + -5 - 16. Which is bigger: -18 or f?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 - 5*w**2 + 4*w**2)*(0*w + 6*w + 2*w) + 0*w**2 + w**3 + 0*w**2 to z*w**3 + u*w**2 + y*w + g and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**3 + 2*q**2 + 10*q. Let j be x(5). What is the highest common divisor of j and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**7\/35 + h**4\/4 - 27*h**2. Find the second derivative of l(r) wrt r.\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*b**2 - 1411*b**3 + 818*b**3 + 589*b**3.\nAnswer: -4*b**3 - 157*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - 0.2. Let z = -35.4 + 35. What is the smallest value in f, z, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -123*p + 126*p - 63. What is the remainder when 132 is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 7*c**2 + 47*c + 1. Determine w(-11).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543 + 7441639.3123.\nAnswer: 7441096.3123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 14.9984. What is b rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 - 4*i**2 - 29*i + 29*i - 28.\nAnswer: 2*i**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 6*s - 3*s)*((3 + 4 - 5)*(8 + 0 + 1) + 14 - 46 - 20).\nAnswer: -68*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46831855 to the nearest integer?\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -51*t**2 + 56*t**2 - 72*t**2. Let q(w) = -3*w**2. Calculate f(q(k)).\nAnswer: -603*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12631*l**3 - 5290*l**3 + 0 + 0)*(-1 + 4 - 1) to the form s*l + u + q*l**3 + r*l**2 and give q.\nAnswer: -35842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210133 - -123?\nAnswer: 210322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4654772237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-16)\/4)\/((-2)\/(-4))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + (-127 - (-14 - 26)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 + 8 + 39*t + 32*t.\nAnswer: 71*t + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**3 - 62246019*r**2 + 322880480076648*r + 968642000444196 = 0?\nAnswer: -3, 10374338","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**4 - y**4 - 8*y**4)*(1 + 9 - 3) - 2*y**4 + 0*y**4 + 0*y**4 + (-3*y + 3*y - 2*y**3)*(2*y + 1 - 1).\nAnswer: -55*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**2\/4 - 1920622*u - 3688788866884 = 0.\nAnswer: -3841244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 14849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 - 3*p**2 - p**2)*(-p**2 - p**2 + 3*p**2) - 3*p**4 + 19*p**4 + 22*p**4.\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 817742275?\nAnswer: 5, 7, 4672813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from upppmpppuppepppnppnn. What is prob of picking 2 u?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2255649406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15992 and 88?\nAnswer: 175912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8, -0.3, -2, -1\/2, 1.9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**8\/2800 + c**7\/840 - c**6\/900 - c**3\/6 + 5*c**2. Let v(a) be the first derivative of s(a). Suppose v(z) = 0. Calculate z.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 26. Let o = -17 - -14. Put 1, c, o in descending order.\nAnswer: c, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13.7 + -95.7. Let r = -82 - o. Sort -1, 3, -2, r in descending order.\nAnswer: 3, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -2 - (-37 + 15 + 10).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2335793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 7*j - 6. Let d be g(5). Let n be -787005 + (5 - 0\/d). What is n rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 60\/19, 0, 1, 0.1, -1, 0.109?\nAnswer: 60\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 PM and 8:11 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 - -7. Let w = -1.7 - -2.2. Let f = -13.4 + 17.4. What is the second smallest value in s, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05035 times 0.1?\nAnswer: 0.005035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09356720665 less than 102?\nAnswer: 101.90643279335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 29 and -14896094.\nAnswer: -14896065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (2 - (1 + 11))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 7. Let h(u) = 35*u. Let p(v) = 8*v. Let r(y) = h(y) - 5*p(y). What is k(r(i))?\nAnswer: 15*i + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -12. Suppose n = m, 3*z - 14 = z - 2*m. Factor 3\/2*l**5 + 3*l**2 - 7\/2*l - z*l**4 + 1 + 2*l**3.\nAnswer: (l - 1)**3*(l + 1)*(3*l - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 52, -71.\nAnswer: -71, -1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/48)\/((-9)\/4)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/13? (a) 8128.4 (b) -4\/5 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 636229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + -0.1. Let z = -2 + t. Let c = 1.2 + z. Put c, -3, -0.4 in ascending order.\nAnswer: -3, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 284 + -298. Sort j, -4, -2, 1\/8 in descending order.\nAnswer: 1\/8, -2, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by 469347?\nAnswer: -46\/469347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15345 or -15351?\nAnswer: -15351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(-2*sqrt(576)))\/((sqrt(5)*1 + sqrt(5))*3 - (-2*sqrt(180) + sqrt(180))).\nAnswer: -sqrt(11)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2772*f**3 + 2772*f**3 + 12*f - f**4 wrt f?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7794*m**2*w*x + 9*m**2*x - 2*m*w*x - m - 191 wrt w.\nAnswer: 7794*m**2*x - 2*m*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -2\/65*m**5 - 1\/195*m**6 - 28*m + 4\/13*m**3 + 1\/39*m**4 - 9\/13*m**2 + 0. Factor v(p).\nAnswer: -2*(p - 1)**2*(p + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 1\/6*s**3 + 21*s - 2 + 0*s**2. Let n(g) = -22*g**2. What is v(n(o))?\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - 6\/(-9). Suppose u = s - 2*s + 3. Let y = 3 - s. Solve y = -3*a - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (33 - -2 - (-3045)\/(-203)) + (-1 - 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636128748 to the power of 1\/2, to the nearest integer?\nAnswer: 25222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144343?\nAnswer: 1144343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -111022 (base 3) to base 12\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*a = -349*a + 1260. Suppose -m + 2 = -7. What is the greatest common factor of a and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39968 is divided by 146.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14632 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/21 and -4 + (-210)\/(-49) - 715\/(-168)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 15 = 0, -3*z - 23 = 2*b - 0*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:21 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 11:37 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 25 - 0. Suppose y + 4*y - 20 = 0, -l - 20 = -n*y. Let i be 15 - (-1*2 - l). Solve -5*j - i = 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12345 - 12345.1. Suppose -3*y = 3*j + 12, 2*y + 12 = -y + 4*j. Which is the closest to x? (a) y (b) 19 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*b - 321 = -31 + 14 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = k - 378. What is the greatest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 411 - 767*l - 750*l - 440. Is g(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0567 or 8.6128?\nAnswer: -0.0567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (9\/(-12))\/((-12)\/32)*(-8 + 416). Calculate the greatest common factor of 170 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-4)*u**(-3\/5))\/((u*u\/(u**(-4)\/u))\/u**(-6)))**(2\/57) assuming u is positive.\nAnswer: u**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/15 + 26*n**2\/5 + 3. Factor m(i).\nAnswer: -i*(i - 52)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/9 + (-1324)\/(-3). Find the common denominator of 0\/(-1) + -4 + x\/(-56) and -26\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 4*c + 1 + 3*c - 6 + 0*c - 5*c**2. Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 9.07. Let z be 8\/(-10) - (-30)\/225. What is the third smallest value in z, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 + (45 + -48 + (-50)\/(-18) - (-68)\/(-18))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*u - 10*u. Let q(z) be the first derivative of -z**2 + 5*z - 3. Let s be q(-3). Put u, s, 1 in descending order.\nAnswer: s, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 181, 314, 445, 574, 701, 826, 949?\n\"Answer: -p**2 + 136*p + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2762, 5561, 8360, 11159?\n\"Answer: 2799*s - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 6579034?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 1. What is the units digit of n(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001000 (base 2) in base 11?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 60941?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.621281 times -1?\nAnswer: -31.621281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y + 8. Let d = 2091 + -2084. What is b(d)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 230.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 441756.\nAnswer: 441756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwvyvvvyvyyvyvyvyvy. Give prob of picking 2 v.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55738 divided by -25.\nAnswer: 55738\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 - 4\/(-14). Suppose -3*t + 2*l + 19 = -0*l, a = -2*t - 2*l - 4. Suppose -t*r + 8*r + 20 = 0. What is the closest to 2\/7 in r, 2\/11, -2\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 4*k**2 - 4*k - 1. Let d be j(-4). Let w(a) = 5*a + 9. Let u be w(-6). Let s be u\/d - (-6)\/15. Let r(c) = 3*c**3 - 2*c**2 - c. Determine r(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {m: 1, z: 3, c: 4, s: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1246966*q + 2*q**2 + 6*q**3 + 1246822*q - 3*q**3 to t + v*q**3 + p*q**2 + g*q and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 5*m. Suppose m = -3*z + 6*z - 12. Factor 15*p**2 + 0*p**3 - z*p - 10*p**3 - p**2.\nAnswer: -2*p*(p - 1)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1279*h**5*w - h**4*w + 72*h**2*w + 16*h**2 - 3*h*w wrt h.\nAnswer: -76740*h**2*w - 24*h*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b - 2. Let h(p) = p**2 - 7*p + 5. What is 8*f(r) + 3*h(r)?\nAnswer: 3*r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -4 + sqrt(153)*1 + sqrt(153)\/(sqrt(9) + sqrt(36)*-2)).\nAnswer: -12 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 15*n**2 - 13*n - 14. Let x be r(-15). Let t = -172 + x. Solve 2*d = -t + 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/804034 and -117\/34958.\nAnswer: 804034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 13*n**2 + 12*n - 20. Let s be f(-14). Suppose 3*q - 4 = s. Suppose 0 = -q*w - 2 + 6. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11748684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 26*x**2 - 4*x + 12. List the prime factors of s(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 6. Suppose 154*j - 581 = 189. Let v be q + j + (-122)\/(-41). Does v = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.23 times 77?\nAnswer: -17.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - l + 4 = 2*u, -8 = -3*u - l. Suppose -2*i + 22 = u*v, 0 = -3*i + 2*v + 3*v + 22. Let c be (4\/(-30))\/(6\/i). Which is smaller: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2. Let s(r) = r. Let a(f) = -3*f - 2. Let c(n) = -a(n) - 4*s(n). Let h(l) = -36. Let i(z) = 36*c(z) + 2*h(z). Give i(w(v)).\nAnswer: -36*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12))\/(4\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*i**4\/2 - 876835*i**3\/6 + 457735*i**2 + 1577900*i\/3 - 77920 = 0. Calculate i.\nAnswer: -1, 2\/15, 4, 11688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {i: 1, h: 2, l: 2, m: 2, p: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30*5.1812\nAnswer: 155.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 431*m**2 - 429*m**2 - 11*m + 516*m to the form n + y*m**2 + x*m and give x.\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 + 1 + 2*d + 0*d. Is w(5) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p*v - 1096*p - 2560*v wrt v?\nAnswer: p - 2560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 12*h - 5*h**2 + h**2 + 5*h**2 - 2*h**2 + 14. Suppose -n + 4*v = -17, -5*v + 2*v - 29 = -2*n. Let i be d(n). Solve i = 2*b + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**3 + 6*o**2 + o**2 - 3*o**3 wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2. Let z(m) = -575926992*m**2. Determine z(y(r)).\nAnswer: -2303707968*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 9*g = 2. Suppose -20 = -2*x - 8. Suppose g*z = x*z. Solve -3*i - 5*h = z, i + 10*h - 5*h = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48379353 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-16))\/(177\/1180))\/((-14)\/(-756)*-9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(2\/33)\/z*z**(-25) assuming z is positive.\nAnswer: z**(-823\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {n: 5, z: 1, s: 1, w: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -4 + 2 - 10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, -114, 9702 in descending order.\nAnswer: 9702, 3, -7, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:31 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 0 - 1)\/((-1)\/(-419)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*n + 7*n. Let c be ((-6)\/(-4))\/((-15)\/(-290)). Let k be (-9)\/(-6) + c\/2. Solve 5*a - m + 14 = 0, -n*m = -0*m - k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/((-6400)\/24)*(-275)\/99\nAnswer: -5\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s + 544. Let o be i(54). Factor -26\/9*v**3 - 8\/3*v**2 + 0 - 2\/9*v**5 - 8\/9*v - 4\/3*v**o.\nAnswer: -2*v*(v + 1)**2*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -23. Let j(g) = g**3 + g**2 - 9*g - 7. Let i be j(m). Is (i\/(-1)*179)\/(-1 - 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/((-2 + 0)\/2). Let f(j) be the first derivative of 29*j**2\/2 - 5*j - 18. Is f(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6525 (base 16) in base 13?\nAnswer: ba2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 167\/209 + -14\/11. Are -1 and f nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 166036 and 5824?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -23441633?\nAnswer: 23441637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3979 or -131324\/33?\nAnswer: -131324\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*m + 6 = -0, 3*o + 18 = 2*m. Let p = -6 - o. Suppose -c + 2*c - 14 = p. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 + 2.95. Let w = 264 + -263.6. Which is the third biggest value? (a) t (b) 1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7245*i**5 + i**4 + 15*i**2 - 1561*i + 88?\nAnswer: 144900*i**3 + 12*i**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.007 (b) 1.5 (c) 0.4 (d) -5 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 13 = 5*l - 3*g, -279*l + 286*l - 3*g = -38 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = 4*w. Suppose -2*j = -3*f + 95 + 31, f - 53 = -3*j. What is the remainder when f is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -44 (b) -1 (c) 5 (d) -169 (e) -5 (f) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/3 + -1)*((-3 - 5) + 18). Let j(l) be the third derivative of -x*l**3 - 5\/8*l**4 + 0 + 1\/12*l**5 + 27*l**2 + 0*l. Suppose j(f) = 0. Calculate f.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4, 25, 72, 157, 292, 489?\n\"Answer: 2*f**3 + f**2 + 4*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-6)*2*(0 + 4). Which is smaller: a or 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-77)\/385)\/((-26)\/4680)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 29*f - 1 - 4 + 4. Let y be n(4). Let m = 62 + y. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442583 is divided by 647?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -37, -82, -145?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 618, 2473, 5564, 9891, 15454, 22253?\nAnswer: 30288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*k**2*y**3 + 17*k**2*y + 3*k**2 - 8*k*y**2 - 4*k*y + 1006*y**2 + 23*y + 1 wrt y?\nAnswer: 24*k**2*y - 16*k + 2012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63642498 a multiple of 997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 76057720909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**4\/8 + r**3\/3 + 23. Factor q(j).\nAnswer: j**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*n + 55 + n**2 - 57 - 11*n)*(-2 + 2 - 4*n).\nAnswer: -4*n**3 + 140*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*m = -25, -2*t = -2*m - 9 - 1. Let r be ((-1)\/2)\/(5*6\/(-300)). What is the third derivative of 105*u**5 + u**2 - 200*u**r + 105*u**t wrt u?\nAnswer: 600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 102089?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a - 30 = -4*t, -5*t + 47 = -a. Let d be 50 + 1\/(t\/(-6) + 1). Let u = 49 + -43. Calculate the highest common factor of u and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/6)\/(((-10)\/(-3))\/1).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**2 - 4*w + 6. Let q be 3\/(-3) - (-7 + 6). Suppose q = -3*n + n + z - 8, 3*n - 5*z = -5. Let o be t(n). Is o at most 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c - 5. Suppose -o = -104 + 16. Suppose 4*a = 2*v + o, -2*a = 2*a + 2*v - 88. Let g(h) = a + 6*h - 6 + 3*h - 3*h. Determine 5*g(i) + 16*n(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(4\/(-2)) + 8. Let k(u) = u - 4. Let w be k(v). Solve -2*s - m = -12 + 3, -s = -w*m + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1249.973106 - 1249.9. Let t = 2.9268844 + u. Let k = -3 + t. Round k to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-110)\/15. What is the highest common factor of p and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z**2 + 4*z - 4. Calculate h(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -107 divided by 2\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1386538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -21, 4, 0.06, 0.1, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1149, 2306, 3463?\n\"Answer: 1157*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1*(-111)\/(-168) - 14\/686*14\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4 - 7*q**2 - 9*q - 2*q + 6*q**2 + 3. Let m be j(-8). Solve -4*g + 16 = k, -2*k - 2*k = -3*g + m for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31238 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(((b*b**2)\/b*b*b)\/b)*b))\/b*(b\/(b*b*(b\/b**(-1\/40))\/b*b))\/b*(b\/(((b**(1\/2)\/b)\/b*b*b)\/b))\/(b*b**(-3\/5)) assuming b is positive.\nAnswer: b**(-37\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 15407900 rounded to the nearest one million?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50 and 38\/1321551?\nAnswer: 1321551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118*a**3*i**3*o + 17*a**3*i*o + 8*a**2*i**2*o wrt i?\nAnswer: 708*a**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49874052?\nAnswer: 2, 3, 499, 8329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5395 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o**3 - 4*o**2 - 2*o + 7. Let n(k) = -2*k**3 + 5*k**2 + 3*k - 7. Suppose -13*r - 341 + 302 = 0. Give r*w(c) - 2*n(c).\nAnswer: -2*c**3 + 2*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -3. Calculate the smallest common multiple of (-656)\/(-36) + (-2)\/n and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, z: 3, q: 4, v: 1, c: 4, h: 1}. What is prob of sequence hgqc?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*m**3 - 10*m**3 - 29*m**3 + (6*m - 3*m - m)*(m**2 + m**2 - m**2).\nAnswer: -34*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -4, 88?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27799908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1471 + -1472. What is the closest to n in -2\/3, -1\/2, -4, 1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f**3\/10 - 6147*f**2\/10 - 82606*f\/5 + 17136 = 0 for f.\nAnswer: -6120, -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -300*v + 304*v - 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 z, and 1 y when three letters picked without replacement from {z: 2, y: 1, i: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-27)\/(-12)*32\/(-12). Let m(u) = -u**2 - 9*u - 9. Does 4 divide m(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(1 - 0)*0. Suppose 0 = 2*o + r, 2*o + 2*o - 3*r - 20 = l. Solve -o = t - 0*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37504 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62955 (base 13) to base 10.\nAnswer: 177351","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4\/9 - 2830*n**3\/9 - 333232*n**2\/3 + 111392*n = 0. What is n?\nAnswer: -708, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = 0, 4*c - 4*n - 1 = 31. Let s(h) = -h**2 - 11*h + 16. What is the lowest common multiple of c and s(-12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -442*z + 57 + 879*z - 57 - 436*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 5*i**2 - 6*i - 2. Let j be a(-3). Let k(z) = z**3 - 4*z**2 + 2*z + 4. Let s be k(3). Let r be 6\/2*(0 - s). Which is smaller: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 537 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(0 + 0 - t) + (-4*t - 2*t + 3*t)*(1 - 2 - 3 - 3 - 1 + 2 + (-1 + 5 - 5)*(0 + 0 - 1) + 2 - 3 + 3)*(2 + 3 - 3) to q*t + h and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 889 + 4*p**2 + 889 - 1757 to the form a + s*p**2 + k*p and give a.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 + 34*a - 240. Give i(24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2857037 * 9\nAnswer: 25713333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, k: 5, u: 1, v: 6, r: 2, b: 2}. Give prob of picking 1 v, 1 k, and 1 b.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-10))\/((-356)\/(-5874)*(-66)\/(-8))\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 175 = 21*y - 26*y. Suppose 3*l = 7*l - 16. Let i = y + l. Round i to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b + 8. Suppose 4*o + 4*g - 76 = 0, -4*o + g = -28 - 33. Suppose o*c - 19*c = 0. Solve c = -0*n - 2*n + 8, -5*n = b*s - 28 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001773962 to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from gvgov.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61563*b**5*s - b**4*s**2 + 673*b**2*s - 130*s**2 + 2*s wrt b.\nAnswer: 3693780*b**2*s - 24*b*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, 213\/5, -2, -1, -0.0979?\nAnswer: 213\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 13, -1276, -1, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 56*b - 7192. Calculate the remainder when w(142) is divided by 314.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 4*z**4\/3 + z**3\/6 - 3*z. What is the remainder when o(1) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 34*j\/3 - 289\/3.\nAnswer: -(j + 17)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 450185197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24370, -48821, -73272?\nAnswer: -97723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5306, 5335, 5350, 5351, 5338?\nAnswer: 5311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 74. Which is the closest to -1? (a) k (b) 2 (c) -2\/5 (d) 10.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -962\/85 - -87\/17. Let i = 277\/16 - 477809\/27600. Let z = i - -10158\/575. Calculate the common denominator of c and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -265184 * -23\nAnswer: 6099232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**10*l*l**2)\/(l**3)**2)**(-6\/13))**(-7) assuming l is positive.\nAnswer: l**(294\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**4 - 77677*d**3 + 2011264668*d**2 - 17359895719280*d + 17357884532288 = 0.\nAnswer: 1, 25892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 8 = -2*a - 3*f, 21 = 4*a + 3*f. Suppose 0 = a*b - 35 - 31. Calculate the highest common factor of 88 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -5*m**3\/6 + m. Let p(b) = -17*b + 11. Let s(g) = -6*g + 4. Let q(u) = 4*p(u) - 11*s(u). Calculate q(n(x)).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 66 = 2*q. Let f = 23 - q. Sort 10, f, 5 in descending order.\nAnswer: 10, 5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1771*x + 1765*x - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -303630 rounded to the nearest ten thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*t + 1371*t - 739*t = 2175 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*o - o - 17, 2*u - 14 = -4*o. Suppose 2*v = 3*y - 15, -4*v + 4*y = 16 + 4. Do v and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 14*k**2 - 3*k - 3. Let x be c(-2). Suppose -5*v + 4*m = -107, -3*v + m + x + 8 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1250) - (3*sqrt(1250) + -2))**2 + sqrt(1250) + -5 + 2*sqrt(1250).\nAnswer: -125*sqrt(2) + 4995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2 + (-4)\/8*-26. Let r(m) = -m**3 + 12*m**2 - 10*m + 5. Let l be r(v). Solve 2*s - l = -2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*j - 2*w, j - 5*w + 1 = -2*w. Let q = -6 + j. Solve 9*z - q*z + 3 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3364965?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2891 + -2306. Is b a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9\/4))**31)**(28\/9) assuming h is positive.\nAnswer: h**(-217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.02 - 0.02. Let v = 15 - k. What is the closest to 2\/5 in -3, v, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/11)*v**(-6))**(-40) assuming v is positive.\nAnswer: v**(2760\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 291*o**2\/2 - 122*o + 791. What is the first derivative of j(p) wrt p?\nAnswer: 291","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231516375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -155 * -0.5.\nAnswer: 77.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 437, -4, 5, -2, 663 in descending order.\nAnswer: 663, 437, 5, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 6. Let n be i(4). Let l(z) = z**2 + 3*z + 4. Let b be l(-3). Factor 4 + x**b + x + n*x**3 - 4 - x**2 - 3*x**3.\nAnswer: x*(x - 1)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55356 - 140251 - 118427 = -3635*u + 100356 for u.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 2*t**2 - 2*t - 2. Let z be j(-2). What are the prime factors of (7\/4)\/(z\/24)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(440)*2)\/(sqrt(10)*1*2 - sqrt(10)))\/(sqrt(432)\/(sqrt(6)\/sqrt(2)*6 + sqrt(3) + sqrt(3))).\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/104244 and -131\/70.\nAnswer: 521220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -486 not equal to 1949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 11, n: 3}. Give prob of picking 2 o.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -152? (a) 3\/38 (b) -6 (c) -4 (d) -0.4 (e) 1\/6 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1678)\/558 + (-13)\/(13\/(-3)). Is d bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/36 - 42\/(-9)*(-631)\/(-6). Solve 0 = 500*a - l*a - 18 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -29 + 35 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1333 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:31 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 9 = -3*t, 0 = -0*t - 4*t - 2*s - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (8 - -3) + -15 + (-2 - 10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3 = 5. Let i(a) = -6*a**2 + a + 5. Let u(t) be the second derivative of t**4\/4 - t**2 - 3*t - 48. Calculate q*i(n) - 5*u(n).\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.13 + 0.23. Let i = j + 1.83. Let h = -0.07 - i. Which is bigger: h or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert add8c (base 14) to base 4.\nAnswer: 1213021220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/9 - 15764*b\/3 + 31062962.\nAnswer: 2*(b - 11823)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*16\/10*25*(-9)\/(-30)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -3. Let s = p + -6.7. Which is the smallest value? (a) 6 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-10)\/(-7))\/5 - 782\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 4. Let x be j(-7). Let i = 4066 + -4066. What is the closest to i in 1, x, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:29 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5+10923\nAnswer: 10922.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.7 and -615980.98.\nAnswer: -615987.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1331904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 1 + 1)*((2 + 0 - 3)*(-7*u + 3*u - 6*u) + 3*u - 5*u + 4*u).\nAnswer: 24*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, -38, 0.89, 1\/3, -4 in ascending order.\nAnswer: -38, -4, 1\/3, 0.89, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/31253 (b) -16 (c) -3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4 - ((-16 - (-1254)\/12) + 13).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, a: 4, c: 6}. Give prob of picking 3 a and 1 c.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 42 + 3*r**3 + 91.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 18276\/(-40))*10\/(-12). Let k = 377 - u. Let n = 4.08 + -0.08. Sort -4, -3\/4, k, n in descending order.\nAnswer: n, -3\/4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1242, 1283, 1320, 1353, 1382?\nAnswer: 1407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of x**5\/15 + 5*x**4\/12 + 17*x**3\/6 - x**2 + 181. Calculate u(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. List the prime factors of (3\/(-6))\/(b\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 85836033.\nAnswer: 3, 463, 20599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -45*z - 188 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czxxzzucxzzzzhzx. What is prob of picking 1 u and 1 z?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 0*h - 5*h, 8 = n - 3*h. Suppose 0 = -g - g + n. Solve 2*q - 1 = g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 10*d**2 + 0 - 1\/12*d**4 + 0*d + 1\/3*d**3. Suppose -11 = -5*r - 1. Give h(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 8 + 20*h - 30 - 11*h. Let p be o(5). Is (-13)\/(p\/122*6\/6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 3*j**2 + 3*j - 3. Let a(s) = -s**3 - 4*s**2 + 4*s - 4. Calculate -3*a(o) + 4*v(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (0 + sqrt(288) + -5))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 1. Suppose -8 - 4 = -2*y. What is t(y)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 44\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -111, -228, -453, -822, -1371, -2136, -3153?\nAnswer: -4458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84 - -83.53. Let t = p - -0.17. Which is the closest to 2? (a) t (b) 2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*g - 5*g + 142 = 0, -x - 5*g - 84 = 0. Let b = -117 + 205. Let j = b + x. Calculate the remainder when 63 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (40 + -50 - (0 + -2)) + (47 + 8 - -9)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.008 + 0.018. Let g = -0.01000462 + v. What is g rounded to seven decimal places?\nAnswer: -0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 199834 and 27716?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d + 18*d + 24*d - 1804 = -32*d for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.2, 43, 1.6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34623323 (base 7) in base 2?\nAnswer: 1011101000001001111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016.087 hours in days?\nAnswer: 84.003625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 793887.\nAnswer: 3, 53, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n. Let m(o) = -o**2 + 9*o + 6. Let r(i) = -i**3 - 4*i**2 - i - 1. Let b be r(-4). Let u be 6*b*(-1)\/(-6). Let j(x) = u*c(x) - m(x). Calculate j(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**4\/3 - 5*d**3\/3 + d**2\/3 + 5*d\/3 = 0.\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70463\/6 - -11744. Factor -k*f - 1\/3*f**2 + 1\/2.\nAnswer: -(f - 1)*(2*f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023279 rounded to seven decimal places?\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -48\/13 + 2\/13*c**2 - 20\/13*c = 0. What is c?\nAnswer: -2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*l*m*t**2 + 4*l*t**3 - l*t + 2*l + m*t - t**2 + 4847*t wrt t?\nAnswer: -210*l*m + 24*l*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbg when three letters picked without replacement from jsbssgjbjbb.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169003384.\nAnswer: 2, 11, 389, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add -323.8545 and 12430.375.\nAnswer: 12106.5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p**3 + 48*p**2 - 16336*p + 114395. Calculate h(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.65 - 4.75. Let r = c + 0.1. Put -47, -5, r in ascending order.\nAnswer: -47, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/3)\/(-2))\/((-66)\/(-9)).\nAnswer: 7\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, z: 2, r: 7}. Give prob of sequence zg.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1309415287 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -0.74, -227, -5.\nAnswer: -227, -8, -5, -0.74, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 + 14 = 4*l. Let s = l - 33. Suppose -v - 296 = 4*a - 321, -5*a + 4*v + 26 = 0. Calculate the remainder when s is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/416 - 5095\/416. Let y = p + 139\/12. Let s be (-2 + 17\/10)\/((1824\/(-190))\/(-16)). What is the nearest to y in s, 1, -0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.733 - -1.733. Which is the fourth biggest value? (a) -1\/9 (b) q (c) -5 (d) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 562579674?\nAnswer: 2, 3, 17, 1789, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times 16\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3650.8 - -3651. What is the nearest to b in -6\/31, -0.1, -4, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 - -0.4. Let u = i - 0.13. Let t = 0.0029 - -0.6271. Do t and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 168133883?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j + 395. What are the prime factors of m(-45)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 2:29 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 78\/7? (a) 2\/5 (b) -0.2281 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 293999088, 293999093, 293999100, 293999109?\n\"Answer: j**2 + 2*j + 293999085","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 - 15*m**2 + 2*m - 17. Let t be i(15). Suppose -37 = -4*l - 2*r - t, 2*r = -3*l + 18. Calculate the smallest common multiple of 33 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 150, 360, 570, 780, 990, 1200?\n\"Answer: 210*i - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.85639 micrograms in nanograms?\nAnswer: 9856.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601404691?\nAnswer: 601404691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -981.18 - 0.2.\nAnswer: -981.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -2. Let r = -6.26 + -54.7. Let i = 61 + r. What is the third biggest value in d, 4, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 33 - 3. Sort y, -1, 3 in decreasing order.\nAnswer: y, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 6) + (-50 - 1 - (15 - (26 - 19)))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2842*i - 9*i**2 - 2842*i.\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-2\/7)\/w)\/w)\/w)\/w)\/(w*w**(2\/5)\/w)*w**(-5)\/w*w*(w\/(w\/(w\/(w*w\/(w\/w**(-8))*w*w*w)*w)))\/w assuming w is positive.\nAnswer: w**(-164\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 13. Let g be (t - 8)*(0 - -2). Calculate the highest common divisor of 108 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gccg. What is prob of sequence cc?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 AM and 7:13 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 7, -8, -0.4, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -1)\/(42\/(-588)). Calculate the highest common divisor of 119 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4292*d**3 - 358*d**2 - 6*d wrt d?\nAnswer: -25752","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -f - 0*f + 3, 0 = 3*f - h - 33. Let q be 0 - f\/(12\/(-3)). Find the second derivative of -10*m**3 - 10*m + 8*m**3 + m**q wrt m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -465065324*y**2 - 45477927*y wrt y.\nAnswer: -930130648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/65? (a) 0 (b) 1 (c) -1.4105 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 640*h**2 + 0 + 2*h**3 + 5*h**4 - 636*h**2 + 6*h in the form p*h**4 + o*h**3 + t + j*h**2 + r*h and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 8:46 AM?\nAnswer: 1:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3240*-13954.\nAnswer: 45210960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203180, -406357, -609532, -812705, -1015876, -1219045, -1422212?\nAnswer: -1625377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -13*h**3 - 4. Let w(o) = 27*o**3 + 9. Suppose 0 = -25*t + 30*t + 20. Determine t*w(m) - 9*z(m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 21*y**2 - 55*y - 35. Let g(d) = -3*d**3 + 62*d**2 - 165*d - 106. Let k(i) = -4*g(i) + 11*m(i). Is k(32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 29178.19 and 1.\nAnswer: 29178.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1994 - -2346.9. Let r = -353 + h. Which is the nearest to -0.16? (a) 0.4 (b) r (c) 0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of -3*b**6\/5 + b**5\/30 + 49*b**4\/6 - 9*b**2 + 3. What is the second derivative of t(x) wrt x?\nAnswer: -432*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3096.786 millilitres to litres.\nAnswer: 3.096786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -100. Suppose 8*n - c = 11*n. What is the common denominator of 81\/22 and (-6)\/3*(-53)\/n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/34 in 2, 7, -129.2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 850 is divided by 273?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1159389 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1162 + 814. Calculate the common denominator of 61\/4 and (3\/(-12))\/((-21)\/j).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 75*i**3 + 4*i**2 + 2*i + 1. What is y(-1)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*h**2*p**3 - 4*h**2*p**2 + h*p**2 wrt p?\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -43.274 take away 0.213928?\nAnswer: -43.487928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.07 + -12. Let i = 1.336934 + -1.4069347. Let v = i + c. What is v rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 4*c - 2*r, -80 = 4*r - 92 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0) + (-2 - -1) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00062350273 to 7 decimal places.\nAnswer: -0.0006235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5*q + 9*v - 314, -q = v - 63. What is the highest common divisor of 434 and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. What is the tens digit of (-6)\/v*25\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -78*z**2 - 569*z - 833. Calculate c(-6).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31143976 to the nearest integer?\nAnswer: 5581","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 165 + 28*j.\nAnswer: 28*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 7956850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19 - -28?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 90?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -292.18 - 0.3\nAnswer: -292.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6 - 55\/15\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1235363904?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -239, -235, -229, -221?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 5*v + 15 = -6, 6*j = 4*v + 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*x**3 - 27*x**3 + 2*x**3 + 3*x**2 - 3*x**2.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -2, -526, -1\/10.\nAnswer: -526, -2, -1\/10, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (384*(-61)\/(-2440))\/((-4)\/(-10))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3403\/41 - (1 - 6). Suppose 12*f + 232 = h. Let w = 8 + -8. Sort w, f, -5 in increasing order.\nAnswer: f, -5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 2*c + 2*c + 4, -2*m - 2*c = -8. Let x(n) = 5*n**3 - 3*n**2 - 9. Is x(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -5 (b) -0.4 (c) 4 (d) 5.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(5\/2)*(-1248)\/832?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + m - 33 - 90.\nAnswer: 2*m - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from ejjbdebweegd?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*i**3 + 86*i**3 - 9*i**3.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11136.2 rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31483*i**3 + 11*i**2 - 12*i + 31638*i**3 - 11*i**2.\nAnswer: 155*i**3 - 12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 3120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/7 (b) 1 (c) -1091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2 - 24*c - 42. Let k be y(-22). Solve -h = 3*n + 13, 2*h - k*n - 6 = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, 4, -7, -5, -1, -2, -75 in descending order.\nAnswer: 28, 4, -1, -2, -5, -7, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148 = 206*t + 440 - 146 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 253 + -249. Solve 0 = -2*d + 14 - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1481 (base 12) to base 8.\nAnswer: -4541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02565 times -10?\nAnswer: -0.2565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*v + 0)*(-2 + 6 - 2) + (219*v + 46*v + 0*v)*(3 - 3 + 1).\nAnswer: 261*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -4. Let k be -2 - y\/((-10)\/(-28)). Let s be k\/5 + (-4)\/2. Which is smaller: s or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mlm when three letters picked without replacement from mllmllm.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 5:58 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 + 71 - 18 - 18 - 23 - 5*v - v**3 to u*v**2 + b*v**3 + y + d*v and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x - 8. Let j be u(-7). Solve -4*f = -5*k + 14 + 10, 0 = -3*f - 4*k + j for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35323283 is divided by 115.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.874683 grams to nanograms.\nAnswer: 8874683000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 1, t: 2, a: 1, r: 2}. Give prob of picking 3 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -79581, -158948, -238299, -317634, -396953?\nAnswer: -476256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 527577 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-133600)\/(-5850) - 24 - 6*(-8)\/36 and 0 + -1 - 194\/(-36).\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -223270221*v**2 + 543*v + 58528?\nAnswer: -446540442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11574804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 246 - 406. Is 16 a factor of q\/(-12)*12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-8 + -5 + -1 + 13 + 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12. Let f(x) = 10. Let u(a) = 2*c(a) - 3*f(a). Let g(y) = -y - 17. Give 4*g(p) - 11*u(p).\nAnswer: -4*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 1540*t - 4629.\nAnswer: (t - 3)*(t + 1543)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3852, -7422, -10980, -14520, -18036, -21522, -24972?\nAnswer: -28380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbxmbwxpwxwtm. Give prob of picking 2 b and 2 x.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*i = -48, 2*i - 96 = -4*l - 0*i. Calculate the remainder when l is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4 - 10 + q - 3 + 5 - 3. Determine r(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -2, 0.7, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/5)\/(((-24)\/(-20))\/(609\/58))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -32. Suppose -4*t + 24 = -0*t + 4*c, -c = -t. Suppose 5*v + 19 = t*q, 4 = -q - 3*v + 1. Sort -9, q, 1, w in decreasing order.\nAnswer: w, q, 1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135 (base 11) to base 2\nAnswer: 10011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1945 + 2005*s + 1995*s - 3993*s to v*s + y and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 15) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 + 2*p + 38. Give l(9).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (184\/6)\/(8*(-15)\/(-2340)) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**2 + 5*r**2 - 4*r**2 + (-r - r + 3*r)*(5*r - 2*r - 2*r) - r**2 - r**2 + 0*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/5)*a\/(a*a*a\/a**(-4\/9))*a**(-11)*a\/(a*a**(2\/25)))**25 assuming a is positive.\nAnswer: a**(-3088\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/4*((-9)\/6)\/((-105)\/140). Solve -3*t = -2*k - 10, -9*t + b*t + 3 = -5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2 - 2*s**2 + 16*s - 20*s + 2. Find the first derivative of i(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 363192249 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 11. Let o = 9.484 - 10.47. Let k = 0.014 - o. Which is the closest to 1? (a) -0.2 (b) k (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 0*x)*(-2 + 5 + 1 + (454 - 1036 - 650)*(6 - 4 + 0)).\nAnswer: 2460*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4226.684 + 4234. What is c rounded to 1 decimal place?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -7*x - 2. Suppose 2*a - x*y - 36 = 0, 84 = -2*a + 7*a - 2*y. Solve a + 4 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39265?\nAnswer: 5, 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1706871248.\nAnswer: 2, 106679453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -3*m + m. Let w be 424\/12*(-2)\/m. Let t = -14\/11 - w. Which is smaller: 0.1 or t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27225 + 42703. Suppose -c + j + 2*j + n = 0, 3*c - j = 46474. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/8*((-3)\/7)\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(6\/17))**(-17)*(n\/n**20)\/n**(-9\/8))**(-44) assuming n is positive.\nAnswer: n**(2101\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 52?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1429*h**2 + h**3 - 717*h**2 - 712*h**2 + 63*h wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 847*h - 1553*h + 913*h to the form u + s*h and give s.\nAnswer: 207","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 105347 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*f**3*s**3 + f**3*s + 2*f**3 + f**2 - 121788*f*s**3 + 11505 wrt s.\nAnswer: 174*f**3*s - 730728*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.05 - -0.05. Let r = 0.9 + -3.9. Which is the nearest to 0? (a) u (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 33641 - 0?\nAnswer: 33641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -286?\nAnswer: 61\/286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9856*c + 7949*c - 7628 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 139135 divided by 5?\nAnswer: 27827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 12*s - 8 = 0. Solve -s*w = -0*w - 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 6. Suppose -x + 5 = -3*g, u*g - x + 0 = -5. Suppose g = -c - 33 + 112. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 270\/120*(-1)\/((-12)\/(-16)). Put y, 4, -4, 1, 5 in descending order.\nAnswer: 5, 4, 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -85*a - 11. Suppose -2*p - 5*s + 52 = -18, 0 = -2*s + 12. Calculate the least common multiple of o(-9) and p.\nAnswer: 7540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -452 - 419 + 868 + 22*n.\nAnswer: 22*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 12 = l. Let q = l + 6. Solve -22 = -5*x - 3*y - 3, 0 = -y + q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/46120 and -19\/8640?\nAnswer: 9961920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-4)\/(4 - 52)). Which is smaller: g or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208544*o**3*v**3 - o**3*v**2 - o**3*v + 2*o**3 + 6500*o**2*v + 241*v**4 + 15*v**2 - 5 wrt v.\nAnswer: 1251264*o**3 + 5784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 5*s - 13*s - 2*s.\nAnswer: s**2 - 20*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j - 40 = 0. Let v = j + 36. What is the lowest common multiple of 14 and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((1792\/21)\/16))\/((-1)\/4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-3)*9\/1. Let x(l) = 15*l - 5. Let m(a) = 469*a - 542. Let u(o) = 25*o - 29. Let z(n) = 3*m(n) - 56*u(n). Calculate w*x(b) - 13*z(b).\nAnswer: -b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/9 of a week in minutes?\nAnswer: 15680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345 + 818 = 65*i - 142 - 125 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -456.3051796 - -88\nAnswer: -368.3051796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -3, -59, -2, 2, -1 in descending order.\nAnswer: 2, -1, -2, -3, -59, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -5.871.\nAnswer: -6.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {j: 13, f: 6}?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 0*m**3 - 21 + 0*m - 1\/4*m**4 + 12*m**2. Find the second derivative of t(u) wrt u.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + 8 + 3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1654117 and 23749?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.123 times -140?\nAnswer: -17.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 49263581 divided by 1?\nAnswer: 49263581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 26410381?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 2*o**2 + 6 - 5*o**2 - 1.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*w + 4*i + 4, 4*i = -w + 15. Which is the closest to -9? (a) w (b) 0 (c) -1\/2 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 3*q + 4*y - 36, 2*q = -4*y + 16. Let g = q + -5. Solve -2*j + g = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 2*i + 10. Suppose -162 = -5*x - 4*u, -i = -2*x - 5*u + 73. Calculate the least common multiple of x and (-5 - (-87)\/21)\/((-6)\/189).\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9812985 is divided by 1401847.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g - 3. Let h(f) = 4*f**2 - 2*f + 1. Let x(r) = -16*r**2 + 10*r - 5. Let p(t) = -5*h(t) - x(t). What is l(p(w))?\nAnswer: 20*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/190 and -121\/190.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 289241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 77*d - 3537. Let v be o(46). What is the nearest to 1\/6 in v, 4, -297?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*f**2 + 152*f - 103*f**2 + 13*f - 64*f**2.\nAnswer: -f**2 + 165*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*p + 44*p = 20. Let y(r) be the first derivative of 0*r**2 - 1 + 1\/7*r**p + 0*r - 2\/21*r**3. Factor y(c).\nAnswer: 2*c**2*(2*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -25623, -51392, -77171, -102966, -128783?\n\"Answer: -y**3 + y**2 - 25765*y + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141.000000087 - -141. Round w to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40552 - 40552.000054884. Round i to 6 decimal places.\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2016 and 44016.\nAnswer: 264096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 136967, 136965, 136963, 136961?\n\"Answer: -2*x + 136969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 17 in increasing order.\nAnswer: -4, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/((-12)\/(-3))*-2. Suppose -g*q - 3*k + 528 = -115, 0 = 4*k - 20. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41)\/(-4) + (40 - (-1884)\/(-48))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 - (6 + -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 68037686 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469 = -3*k + 260. What is the highest common factor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54347538 + 4*q**3 + 27173735 + 27173803.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22494940 to the nearest integer?\nAnswer: 4743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*b**2*h**2*s + 16*b**2*h**2 + b**2*h + b**2 - 2*b*h**2*s wrt s?\nAnswer: 34*b**2*h**2 - 2*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 + 741018*q**2 + 68641794000*q + 617716125000 = 0.\nAnswer: -185250, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 75.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 6*r - 40. Let k(j) = j**3 - 7*j**2 - 2*j + 3. Let i be k(7). Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 11*d**2 - 6*d - 4. Let u be b(-11). Let h = u + 13. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5689477496?\nAnswer: 2, 19, 53, 223, 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75 + 75 - 18*h to the form v*h + d and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k - 3. Let b(h) = h + 2. Let l be b(-9). What is y(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/15)*m**(-8)\/m)\/((m*m**4)\/m**(-2\/11)) assuming m is positive.\nAnswer: m**(-2362\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -55 (base 12) to base 7\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 6469357689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/21, -0.07, 13 in decreasing order.\nAnswer: 13, 1\/21, -0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**4\/8 - 7*t**2\/2 + 30*t. Let h(a) be the first derivative of m(a). Let l(y) = -15*y**2. Calculate h(l(z)).\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3*2)\/((-5)\/(-15)). What is the highest common factor of q and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7*v**2 - 7 + 2*v**3 + 14*v**3 - 6*v**3. Let f(u) = -3*u**3 + 2*u**2 + 2. Give 4*d(g) + 14*f(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z = 22*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i**3 - 469*i**2 + 162*i**2 + 75*i**3 + 158*i**2 + 150*i**2.\nAnswer: 63*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9*a**2 + 2*a + 4. Let q be v(-2). Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 12 = 20*r + 70 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9935.2 * -5\nAnswer: 49676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 17266\/60431*2\/(-2)*140\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7586001 - 7585999 - 14*i - 12*i + 30*i.\nAnswer: 4*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 11 = 3*p + 2, 4*j + 5*p - 21 = 0. Suppose -6 = -5*h + j. Let c(b) = -6*b**3 - 7*b + 7. Let w(a) = -2*a**3 - 2*a + 2. Calculate h*c(m) - 7*w(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**3 - 5*n**2 - 5*n + 2. Let r be f(3). Let z be r + (9\/(27\/(-12)))\/(-2). Put 0.07, -0.3, z in decreasing order.\nAnswer: 0.07, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jylcyssjsjjjjjcjyj. What is prob of picking 2 c and 1 j?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/48 - 170\/804. Let u = r + -3947\/134. Calculate the common denominator of u and 40\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1381 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 466 + -470. Sort v, -17, -5, 3 in ascending order.\nAnswer: -17, -5, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.3 or 106\/165?\nAnswer: 106\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:13 PM and 9:38 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 7. Which is greater: s or -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 47524\/125132 + (0 - 2\/(-41)). Let v = -13 - -8. What is the biggest value in b, v, -1\/10?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + 7*i - 5*i - i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a**2*i*r + 6*a**2*i - a**2*r*z - 3*a**2 - 2*a*i*r*z - i - 35*r*z wrt a?\nAnswer: -4*i*r + 12*i - 2*r*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 + -3)*3 + -4. Calculate the common denominator of 18 - ((-2)\/3 + 1) and (2\/(-3) - t) + 1530\/(-120).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -214, 2732, 7642, 14516?\nAnswer: 23354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 3*t - 6*r + r, r - 3 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.4 - 0.6. Let h = c - -0.4. Round h to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000769 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, -22 in ascending order.\nAnswer: -22, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42.9523601 + -42.961. What is x rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*-2)\/sqrt(11) + (sqrt(70)*-2 + sqrt(70) - sqrt(70))\/sqrt(10))**2*2 + ((sqrt(1008)*-1)\/sqrt(9))**2 + 2.\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 47 = -35 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214 - 1659 - 240 - 2*r)*(-2 - 3 + 3 + 2*r).\nAnswer: -4*r**2 - 4222*r + 4226","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01651324 to three dps.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 144 + -141. Solve 9 = -4*v - j for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/(-15) + 52\/6. Suppose -c - 8 = 3*o, -2*c - c - o + b = 0. Find the third derivative of -2 + 2 + 2*m**2 + 2*m**2 - c*m**5 wrt m.\nAnswer: -240*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32.7 - 32.5. Sort z, 2\/303, -3 in ascending order.\nAnswer: -3, 2\/303, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (76\/(-24))\/(22\/8). Let z = c - -4\/3. What is the third biggest value in -2\/3, 2\/9, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 27\/20, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 2*x**3 + 38323492*x**2 - 76646990*x + 38323496 = 0.\nAnswer: -19161748, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059907901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 665048 (base 10) to base 7.\nAnswer: 5436626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0 - 1\/10*u**5 + 1\/6*u**3 + 2*u - 1\/12*u**4 - 1\/2*u**2. Let t(d) = -d**2 - 19*d + 64. Let h be t(-22). Determine m(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1425 is divided by 185.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1275 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4236610309 + -4236610265.99999946. Let u = -43 + f. What is u rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 555240360 to the nearest 100000.\nAnswer: 555200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.1. Let x = -58 + 56. Let i = -3.1 - -3. Which is the closest to -2\/3? (a) x (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.43 + 0.07. Let n = -0.8 + -2.2. What is the smallest value in n, b, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 172589571?\nAnswer: 3, 7, 11, 37, 53, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -20*j**4 + 24088*j**3 - 7257712*j**2 + 2899232*j = 0.\nAnswer: 0, 2\/5, 602","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10686 divided by -1\nAnswer: -10686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/5 (b) 5 (c) -14949 (d) 672 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07394 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*k**2 + 105*k**2 - 157*k**2.\nAnswer: 79*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10846421\/117 - -92705. Find the common denominator of -157\/312 and g.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence chdc when four letters picked without replacement from dccddmdddddddhddd?\nAnswer: 13\/28560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*i + 0 + 0 = 0. Solve 9*n + 16 = 3*h + 4*n, h + 4*n + 23 = i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c0 (base 13) to base 7.\nAnswer: -312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 4*c. Suppose c*m = -25, -3*m + 6 = -3*f + 30. Solve 14 = -8*d + f*d + 2*p, 5*p = -15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/(-1)*(-36)\/4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 43 - -12) + -22?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iia when three letters picked without replacement from iiaaaiaiaaa?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 6:18 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**3 + 5*u + 5. Let c = 13 - 18. Let g(h) = -5*h**3 - 8*h - 8. Give c*g(s) - 8*w(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/125, -7\/8, -3, -10, -0.2, 26 in ascending order.\nAnswer: -10, -3, -7\/8, -0.2, 2\/125, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 224, 439, 650, 857, 1060, 1259?\n\"Answer: -2*t**2 + 221*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2554579 divided by 396.\nAnswer: -2554579\/396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 5*r + 1. Let u = 62 - 59. Suppose d - 8 = -2*n, -8*d = -2*n - u*d + 20. Calculate the smallest common multiple of n and t(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(56\/(-336)*78\/8).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 540630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 5*r - 99. Let k be h(22). Suppose -k*j = -31*j + 2940. Calculate the greatest common factor of j and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, 6, 2\/95, 4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 + 3. Let z(o) = -o**3 + 7*o**2 - 10*o - 7. Let l be z(5). Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -5, -576, -1, -0.7 in decreasing order.\nAnswer: 0.1, -0.7, -1, -5, -576","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*s**6 + 6*s**4 + 101*s**2 wrt s?\nAnswer: 2280*s**3 + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(862 - 862 - 1487*g**2) + (-4*g + 2*g + 4*g)*(-g + 1 - 1).\nAnswer: 4459*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -915 + 915. Which is the closest to 0.1? (a) g (b) 2\/7 (c) 0.9 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-30)*(((j\/j**27)\/j)\/j*j)\/j)\/(j**10*j\/j**2))**(-16) assuming j is positive.\nAnswer: j**1072","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a. Let d(x) = 466*x. Give d(f(g)).\nAnswer: -1864*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.072068 and 0.072.\nAnswer: 2.144068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 8. Let v be n(0). Let b(k) = k + 8. Let r be b(-2). Suppose v = 7*i - r. Solve -i = -0*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31314 is divided by 15655.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 148921743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*y, -g + 0*g = -5*y - 23. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5353 by -14.\nAnswer: -5353\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12210110200 (base 3) in base 9?\nAnswer: -183420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 47*a + 17. Give y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18748 and 13932.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3168 and 439776.\nAnswer: 4837536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + ((-3315)\/540 - 4\/(-9)) and -68\/33?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 36 + 8 - 659*i**2 + 648*i**2. Let p(s) = -1. Give 44*p(n) + u(n).\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5844, -46873, -158236, -375099, -732628?\n\"Answer: -5861*i**3 - i**2 + i + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.6 + 11.6. Which is the third smallest value? (a) -2 (b) -0.8 (c) 0.2 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 0*i + i + 0 + 1 + 3. Let t be x(-4). Solve -5*v + 4 = -3*w - t, -5*v - 20 = 5*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1583082?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*g + 5*b, 0 = 3*b - 7*b - 20. What is the tens digit of ((-1)\/(g\/74))\/(18\/36)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/(2 + 46\/(-24)). Suppose 7*q - 3*q = d. Suppose -28 = -4*n + 2*p, 0 = -4*n + 2*n - 2*p + 2. Calculate the greatest common factor of n and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oohh when four letters picked without replacement from {o: 15, h: 3}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24 + 65 + 66)*(2 - 2 - i**2) in the form v*i**2 + d + k*i and give v.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-64)\/11 + 2\/(-11). Is 8\/(-24) - 224\/f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/101, 26, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g**2 - 72*g - 2592 = 0.\nAnswer: -18, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/4 of a meter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1328167\/321090 - -1\/14595. Find the common denominator of t and 77\/74.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 4\/9 (c) -0.2 (d) 4 (e) -0.3 (f) 0.7 (g) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 3*c - 19. Give n(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 168 and 919498776?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 192877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4609, 18394, 41367, 73522, 114853?\nAnswer: 165354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -131, 3, -42, -5, -1 in descending order.\nAnswer: 32, 3, -1, -5, -42, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -179 - -180. Solve 0 = 4*q - 2*g - 2 - 2, -q + g + s = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 10:11 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*f - 24*f + 15*f + 59)*(23*f**2 + 9974 - 9974) to the form a*f + b*f**2 + w*f**3 + z and give w.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 - 75524*j + 25817730.\nAnswer: 2*(j - 37417)*(j - 345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(98) - (sqrt(98) + (sqrt(98) - (sqrt(98) - (1 + sqrt(98))))**2))*4 + -3 + sqrt(162) + sqrt(2) + (sqrt(80)\/sqrt(5))\/sqrt(8))*5.\nAnswer: -2000 - 225*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 141*h**2 + 12*h - 1658. What is n(141)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2118 and 97\/4?\nAnswer: 4236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 139335387 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -42012897.88?\nAnswer: 42012893.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:53 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171175 and 42025?\nAnswer: 1025","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089726 is divided by 544857?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-1 + 3) - 17\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.5 (c) 557 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -15 + 16 - (-8 - 1). Calculate the greatest common factor of q and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b + 570. Let m = b - 26. Let p = m + -55. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x - 54. Give w(15).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 5:20 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 76 - (2\/(-4)*-2 + 2). Suppose -j = -204 + z. What are the prime factors of j?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1310\/524 + 5\/((-20)\/(-6)). Let h(v) = -3*v**3 + 3*v**2 + 5*v - 5. Give h(q).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*i - 98 - 7*i + 281 with respect to i.\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20 + -20.0005. Round x to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 2205337 + 3719412 + 1890432. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v - 84 = 23*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -14\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49028?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 431533077 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13976 and 3609302.\nAnswer: 3494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 70335?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3654 - -10057. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-5) - (-12)\/(-5). Suppose 0*d + 2*d = -p - 4, -2*p - 5 = d. Let g = p - -1. Put f, -3, g in decreasing order.\nAnswer: g, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.4. Let l(s) = 5*s + 21. Let w be l(-7). Let t be ((-8)\/(-364))\/((-2)\/w). Which is the closest to -1? (a) t (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24405, 48255, 72105, 95955, 119805?\n\"Answer: 23850*g + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*v = -29*v - 30. Solve -1 + 16 = -v*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -467326.\nAnswer: 2336630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -8. Let n(k) = -k**3 - 3*k**2. Let u be n(-3). Solve u = -s*v + 2*v + 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 6, -607, 1, -15, 3, -1 in increasing order.\nAnswer: -607, -15, -1, 1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5251 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -5, 5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 566 + -314. Calculate the remainder when p is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5203\/(-86) - (33\/198 + (8\/6 - -1))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**0))**48)**37*(n\/(n\/(n**(-3)\/n))*n**3*n*n)\/(n**(2\/19)\/(n*n**0)) assuming n is positive.\nAnswer: n**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -38. Let s be 53\/(-11) - (-6)\/r. Put -0.1, -0.2, s in ascending order.\nAnswer: s, -0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/340 and ((-3)\/12)\/((-4846)\/(-202) + -24)?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -q**2 - 43855*q + 4351446 = 0.\nAnswer: -43954, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 188469?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t - 40. Let w be k(13). What is the hundreds digit of (w\/(-9))\/((-6)\/(-99))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vu when two letters picked without replacement from rvqvuvpvbqpvq?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 5*c - 5. Let g be a(4). Is 6\/3 + g - -2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t = 14*t + 1770. Is t a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2866.23 - 2862. What is v rounded to 1 decimal place?\nAnswer: 4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/19)*d**(-1\/9))\/(d*d**(3\/4)*d*d**15*d) assuming d is positive.\nAnswer: d**(-12865\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 11608 - 12299. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 51\/2 of a day?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 4, -15, 0 in decreasing order.\nAnswer: 4, 0, -2, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 - 8*x**2 - 4*x = 0. Calculate x.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:33 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 27.2, -0.4 in ascending order.\nAnswer: -11, -0.4, 27.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7061186 and 6419260.\nAnswer: 70611860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1 (c) 7 (d) 4 (e) 0.4 (f) 0.051\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4687 + 8328. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39538739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 4) + 9\/((-27)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18003967?\nAnswer: 61, 71, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61293, 61289, 61285, 61281?\nAnswer: 61277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 12 = 0, -2*h + 14 = -j - 2*j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -7. Suppose -4*d - d = -15. Let q = d + x. Which is smaller: -2 or q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1131 divided by 3\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15439700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 28*i**2 - 2938*i + 2693. Calculate z(104).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15585, 2\/5, -8, -0.9.\nAnswer: -15585, -8, -0.9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/(-12)*(-20)\/(-2). Which is greater: n or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/43, -203, 940, -2\/5, -1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, q: 2, o: 3, t: 6}. What is prob of sequence oos?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 11\/2, -0.02, 1.8, -5, -0.3 in increasing order.\nAnswer: -5, -0.3, -0.02, 1.8, 11\/2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -12259*q**2 - 110307*q + 232. Give g(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 6*c**2 + 31*c**2)*(-3 + 3 + 2*c) - 3*c**3 - 12 + 12.\nAnswer: 63*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3383 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 878.5809 weeks?\nAnswer: 531365728.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -37. Let f(x) = x + x + j - 3*x. What are the prime factors of f(0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 11:07 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1309600284 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (255 - -7) + 17 + -3 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*q - 12*q**3 + 246*q - 81*q - 80*q.\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Suppose n - 4*m = -22, n = -8*m + 4*m + 18. Put u, 1, n in descending order.\nAnswer: u, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 134*(-80)\/(-20100)*20\/(-816).\nAnswer: -2\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35868885*a**5 - a**3 - 4838*a**2 - 101*a.\nAnswer: -2152133100*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1276448793 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/12)\/(11\/(-220))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6001669*c**2 + 12003345*c**2 - 6001668*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1529 by -1318.\nAnswer: 1529\/1318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 1907d?\nAnswer: -1907b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98512 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9028.23 hours to milliseconds.\nAnswer: 32501628000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -71 * -2787.\nAnswer: 197877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - 0.8. Let k = 711\/40 - 87\/5. Sort -0.4, k, d.\nAnswer: d, -0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 1 (c) 1\/2 (d) 0.3 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 + 66*k - 720.\nAnswer: 3*(k - 10)*(k + 120)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**28*(w*w*w**(3\/13))\/w**(-6\/13) assuming w is positive.\nAnswer: w**(-693\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2602619 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12268 + 20822. What are the prime factors of p?\nAnswer: 2, 7, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007479322021 to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = 0, 4*w = -9*p + 7*p + 12. Calculate the remainder when 88 is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4846 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9832342 is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 301*b**3 + 10*b**2 + 5*b - 13. Let p(v) = 150*v**3 + 6*v**2 + 3*v - 6. Give -5*p(s) + 3*z(s).\nAnswer: 153*s**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d + 10*d**2 + 1 + 0 - 3*d**3 + 2*d**3 - 5*d. Suppose -3*g = 5*r - 32, 5*g + 5*r - 31 - 19 = 0. What is x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, g: 2, j: 5}. Give prob of picking 1 m and 2 g.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.492164 to 3 decimal places.\nAnswer: -3.492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-18) - 57\/(-18). Let h(b) = 9 - 6*b**2 - 2 + 7*b**2 - 4*b**3 + 5*b**p. Is 7 a factor of h(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -236\/14377 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**19\/f)\/f**9*(f*f**14\/f*f*f*f)\/(f**(-7\/5)*f) assuming f is positive.\nAnswer: f**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153128631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from noonoixioni. Give prob of sequence ooox.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4729d9 + 15?\nAnswer: -4729c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.126 * -3.\nAnswer: 0.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-4) - 8\/(-16). Sort 0.8, -1\/3, -4, f.\nAnswer: -4, -1\/3, 0.8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 9:02 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -59.36. Let l = -21.64 + h. Let q = l - -21.8. Which is smaller: 3\/2 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 58.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76396813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 20492.\nAnswer: -1\/10246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 2308141.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 8 = 5*k - 4, -20 = -3*k + 5*m. Let a = k + 2. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76577 + -119311. Round w to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from oxcx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5398 + -43159\/8. Suppose -5339 + 20611 = 4*m. Let f = 30605\/8 - m. Calculate the common denominator of p and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**2 - 3*j**2 + j**2 + (-61*j + 172*j + 151*j)*(-2*j + j - 3*j).\nAnswer: -1046*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29770094 is divided by 425287.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3 - 3 + (-5*p + p + 3*p)*(-6 - 2 + 3) + 33 - 68 + 44 - p)*(6*p**2 + 11*p**2 - 5*p**2).\nAnswer: 36*p**3 + 108*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3608.03759 + -3608. What is u rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14380 - 14442. Which is the fifth smallest value? (a) 7 (b) 0.4 (c) 3 (d) 2 (e) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 459762058 to the nearest integer?\nAnswer: 772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*s + 942 = 4*s. Which is the third biggest value? (a) -0.2 (b) -5 (c) s (d) 4 (e) 2\/27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8556 = 401*b - 587*b for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47028708.7 rounded to the nearest one hundred thousand?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 7*u + 205. Suppose -l - 30 = -3*l. What is the lowest common multiple of k(-11) and l?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170087, 340120, 510153, 680186, 850219?\nAnswer: 1020252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 - (-19)\/(247\/2399137) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31558.5 rounded to the nearest one hundred?\nAnswer: -31600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 3*g. Let r = 9 + -15. Let x be (-22)\/4 + (-3)\/r. Sort x, g, 2 in increasing order.\nAnswer: x, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/14 - (-41)\/(-30)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5 - -1. Let s = i - 1. Let g = -1 - -2. What is the second biggest value in s, g, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 54. Let l = j + -16. Find the second derivative of l*v**2 + 5*v - v**2 - 10*v wrt v.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - p + 46 = 68, -4*p = -7*f - 47 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280409\/27 + 15 + 2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 319 and 290.\nAnswer: 3190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(12\/120)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (16 + 1)) + -1 + 2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s + 0*s**4 + 0*s**2 - 1\/3*s**3 + 44 - 3\/5*s**5. What is the third derivative of x(k) wrt k?\nAnswer: -72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5012 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 299 and -11?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23787 - 14070. What are the prime factors of q?\nAnswer: 3, 41, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h - 5. Let v(s) = -3*s - 10. Suppose 21 = 6*y + y. Let x(m) = y*v(m) - 5*j(m). Determine x(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 66 + 26 = 2*p, 0 = -5*p - 2*m + 259. Let a = p + -4. Calculate the greatest common divisor of a and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12069721 or -12069710?\nAnswer: -12069710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*g**3 - 2*f**2*g**2 + 4*f*g**2 - 708*g**3 - 61*g**2 + 2*g wrt g.\nAnswer: -12*f**2 - 4248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 3. Let b be y(0). Let r be (3 - 9)\/(b\/2). Suppose r*a - 52 - 52 = 0. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6270394.7050499 - 6270394. Let y = -0.04256 + 0.74756. Let o = y - b. Round o to six dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*m - 1, -5*x + 7 + 10 = -4*m. Suppose -53*g + 51*g + 4 = 0. Suppose 3*r = -m*o + 28, -3*r - r = -g*o. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -21330a + -47?\nAnswer: -213354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 + 0 + 5 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-120)\/18*(-12)\/10. Find the second derivative of -y + 3 - l**2 + 3*l + 5 wrt l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*r = -0*r + 6, v + 2*r - 1 = 0. Let c(b) = -3*b**3 - 8*b**2 - 8*b + 1. Let o be c(v). Solve -21 = -5*n + o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1117 divided by 1?\nAnswer: -1117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2123 and 0.2.\nAnswer: 424.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n**3 + 6. Let s(k) be the third derivative of -k**6\/120 + k**3\/6 + 2*k**2. Let g(j) = -i(j) + 9*s(j). What is the first derivative of g(r) wrt r?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 1137*k = 1135*k + 61, 0 = 3*f + k - 33 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*j**2 + j - 4 - 6*j**3 + 7*j**3 + 3 to the form d*j**2 + r*j**3 + y + l*j and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001389006 rounded to 7 decimal places?\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 36*j**2 - 2*j**3 - 4*j - j**2 - 7)*(-1 + 0 - 1) as n*j**2 + g*j + i*j**3 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (195 - 1 - -2) + 2. Let n(l) = l**2 - 5*l + 12. Let g be n(6). Calculate the highest common divisor of g and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 7*c**2 + 7*c. Let t be 2\/(-1)*5\/2. Suppose n = 4*d - 17, -7*n = -4*d - 2*n + 37. What is the least common multiple of d and q(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3510 = j - 5*h, 0 = 2*j - 5*h + 3*h - 7044. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9486 - -0.0514. What is the closest to 30 in -2\/13, z, -2\/15?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3769049?\nAnswer: 19, 163, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1845525 is divided by 615126.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 472773 from -10.\nAnswer: -472783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2. Let n(b) = -306724*b**2 + 7. Calculate n(v(r)).\nAnswer: -306724*r**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j**2 - j**2 - j + 6*j**2 - 7*j wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 191 + -269. Let x = n - 51. Let d = -128.7 - x. What is the smallest value in 2\/3, -0.3, d, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 816352889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - s. Let f(v) = -5*v**3 + 6*v**2 - 90*v - 1. Calculate f(a) + 4*t(a).\nAnswer: -a**3 + 2*a**2 - 94*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2043140 (base 5) to base 16.\nAnswer: 857a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9608?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -q. Suppose 0 = 3*j + f + 3*f - 2, -4*j - q*f + 5 = 0. Is 11\/(j\/(0 - -10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24.9755741 to one decimal place.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148850, -148852, -148854?\nAnswer: -148856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xokkztb. What is prob of sequence zko?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -5. Let k = 82 - 80. Sort m, 10, k in decreasing order.\nAnswer: 10, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28530 + -18845. What is the thousands digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 4*f)*(0*f**2 + f**2 - 4*f - 2*f**2) as n*f**2 + t*f + j*f**3 + g and give n.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = 7*a - 3*i + 37, -21 = -5*a + i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8331835, 8331849, 8331887, 8331961, 8332083, 8332265, 8332519, 8332857?\nAnswer: 8333291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-920)\/50)\/(38\/95)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/64*((-8)\/(-6))\/2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-16)*(2\/(-3))\/1.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**6\/60 - b**4\/4 + 4*b**2. Let a(f) = 4*f**3 - 11*f. Let q = 6683 + -6689. Calculate q*a(p) + 11*g(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52443*k**2 - 4658*k**2 - 42320*k**2 + 23682*k**2.\nAnswer: -75739*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = a - 33, -4*g = 4. Let r be 60\/a - (-2)\/7. Which is bigger: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6*d - 1. Let l be s(1). Let k be (4\/(-70))\/((-1)\/l). What is the closest to 2\/3 in k, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -551 - -585. Suppose j*x = 27*x + 44723. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -761*n - 38785. What is j(-51)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 equal to 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1391*r - 7083*r**2 + 932*r + 3109*r**2 wrt r?\nAnswer: -7948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9*r**2 - 4*r**4 + 60 - r**4 + 6*r**2 wrt r.\nAnswer: -20*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, 0, 0.5, 3\/20, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -10. Let i = -152 - -148. Which is the smallest value? (a) -2 (b) i (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76507537 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/20*34\/(136\/(-10)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.66828 rounded to the nearest integer?\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((6*2*sqrt(133) - sqrt(133)) + sqrt(133))\/(sqrt(7)*2*5).\nAnswer: -24*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 3 + sqrt(44).\nAnswer: 2*sqrt(11) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -261*c**2*w**3 - 2*c**2*w**2 + 58*c*w**2 + 54*w**3 - 14 wrt w.\nAnswer: -1566*c**2 + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*(0 + 9 + -12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 - 40*f**2 + 0.\nAnswer: -40*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i + 943. Let f(q) = -q + 630. Calculate 8*f(m) - 5*x(m).\nAnswer: 2*m + 325","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-2))\/(4\/8). Let l be (d - -4)\/((-2)\/8). Factor 0 - 1\/3*k + 1\/3*k**3 - 1\/3*k**l + 1\/3*k**2.\nAnswer: -k*(k - 1)**2*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/105640 and 29\/195434.\nAnswer: 3908680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3 + 258*y**2.\nAnswer: -3*y**2*(y - 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 + -145 - -99) + -1 + -11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91, 168, 247, 328, 411, 496, 583?\n\"Answer: d**2 + 74*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 4 (c) -4 (d) -5 (e) 121\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 75\/28 and 16\/9211.\nAnswer: 257908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3911, 3909, 3905, 3899, 3891?\n\"Answer: -d**2 + d + 3911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 11:46 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**25)\/m*m**(-19)*m assuming m is positive.\nAnswer: m**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4298 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + x - 2)*(1 - 1 + 2*x**3) - 3*x**4 + 0*x**4 + 4*x**4 + (5*x**3 + 13*x**3 - 24*x**3)*(2*x + 2 - 2).\nAnswer: -9*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + (5 + -1 - -1))*-1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-0.164\nAnswer: -0.0492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 6, 6*s - 25 = 8*s + 5*y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-19 + 0)) + (-568 - -565).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -a18 (base 11) in base 2?\nAnswer: -10011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in nineteen quarters of a minute?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4*p = -4 - 21, 5*f - 37 = 2*p. What is the least common multiple of f and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-24))\/1*(-1)\/(-1)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.067 from -1116.\nAnswer: -1115.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 a, and 1 o when three letters picked without replacement from jcoiacmj?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/9 + 262*t**2\/3 + 51220*t\/3 - 310472\/9.\nAnswer: (t - 2)*(t + 394)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/56 and -13\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.918 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + 961 - 2*m**3 + 961 + 2*m**3 + 2*m**3 - m - 1917 to s + z*m**2 + i*m + g*m**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - -10 - (-1554)\/(-111). Let x(h) = -2*h + 2*h + h - 2*h - 7. Give x(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -7 - 1) + 8\/(-2). Let f(y) = -252980*y + 21. Let j be f(u). Suppose 2*v + j - 123861 = 0. Round v to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*40\/195)\/(-8*42\/312).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 60*x**2 + 349*x - 13960. Calculate b(62).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-25)\/(-5))\/(180\/12))\/((-10)\/60*-46)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**3 - 4*t**3 + 2*t**3)*(215*t + 130*t + 8*t) + 2*t**4 - 5*t**4 + 2*t**4 to the form s*t + w*t**2 + a + j*t**4 + f*t**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -144362, -289008, -433938, -579152, -724650?\n\"Answer: -142*i**2 - 144220*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 18 = 520*z - 1016, -2*f + 1 = 5*z - 3 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -6 + 9 + 0 - (-2 + 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-8 - -1) + 9 + -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 541. Is h(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42 + -22. What is the highest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 9*f**2 + 11*f + 7. Determine k(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78680 is divided by 212?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - z + 2*z**3 - 2*z**2 - 3*z**2 + 5*z**2. Let m be h(1). Factor 8\/7 - 6\/7*q**m + 0*q - 2*q**2.\nAnswer: -2*(q + 1)*(q + 2)*(3*q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 30 = 3*w, 4*w + 0*w - 72 = -4*d. Suppose 2*u + 29 + d = 3*n, -4 = -4*u. What is the remainder when n is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 332200 - 233?\nAnswer: 331412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71651 - -71670. Suppose -24 = -2*r + 2*x, -3*r = -2*r - 3*x - 14. What is the remainder when y is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 54*o - 535. Let n be d(10). Sort 1, 13, -1, n.\nAnswer: -1, 1, n, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**4\/24 + 2*i**3\/3 - 2*i**2. Calculate m(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from ceawwwelqwqawwq.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24771211729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 281 divided by -7791.\nAnswer: -281\/7791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 12 = -3*b, -4*t - 8 = 14*b - 16*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6*h - 198 = -4*r, -100 = -2*r - h. Suppose -y + 7 = 3*k, 5*y = k + r - 0. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 533 divide 582983011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*c + 287 - 242. Which is bigger: c or 215\/48?\nAnswer: 215\/48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 688275 to the power of 1\/2, to the nearest integer?\nAnswer: 830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(-3*sqrt(300)))**2.\nAnswer: 7\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 992\/10 + (-72529)\/8845.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000093684396 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/11747328 and 113\/9789440.\nAnswer: 58736640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-32))\/(2\/(-240)). Suppose 2*v + 5*i = n, 0 = 4*v - i - 11 - 131. Solve 4*b = -16, x + 4*x - v = 5*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 613, 2580, 5879, 10522, 16521, 23888, 32635, 42774?\nAnswer: 54317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**2 + 26*v**3 + 25*v**3 - 101*v**3 + 25*v**3 + 24*v**3.\nAnswer: -v**3 - 22*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1258 divided by 1258?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298259?\nAnswer: 3, 67, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 1\/2*c**2 + 9*c - 3. Let x be i(-4). Put -1, -5, x in increasing order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32342, 129329, 290974, 517271, 808214?\nAnswer: 1163797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003288754 to five dps.\nAnswer: -0.00329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301256 >= 61807535\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*h + 125 + 115 = 0. Calculate the remainder when 878 is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 98887.43ml?\nAnswer: 98.88743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 239 (b) -0.2 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + f = 12. Let u be (-4)\/f - 8\/30. Let n = -131\/192 + 1\/64. Put 5\/3, n, u in decreasing order.\nAnswer: 5\/3, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 664236.\nAnswer: 2, 3, 18451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 + 2*a)*(-484 - 298 - 846 + 55).\nAnswer: -3146*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 150 + -217. Let p = i - -66.5. Which is greater: p or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 443*j - 1576*j = 14729 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - z**2 + (0*z**2 + 5*z**2 - 4*z**2)*(-2 + 1 - 1) - 2*z**2 + 0*z**2 + 0*z**2 + 2*z**2 + 5*z**2 - 5*z**2)*(4*z**2 + 7*z**2 - 3*z**2).\nAnswer: -24*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.04 - -0.04. Let n = 5.08 - 5. Let t = 4.08 - n. Which is the second smallest value? (a) 0.4 (b) l (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 271*n**2 - 6326 + 6326. Let r(j) = j**2. Determine r(y(i)).\nAnswer: 73441*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(-5)\/((-350)\/5)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u - 5*k = 9*u + 14, 2*k = -3*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 49*w - 90. Let r be y(2). Suppose -3*v - v = -8. Let j(z) = z - 5*z - v*z + r*z. Let x(m) = 61*m**2. Give j(x(o)).\nAnswer: 122*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-3)*6\/(-4). What is the third derivative of m**5 + 0*m**5 + 2*m**5 - 4*m**q wrt m?\nAnswer: 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 2:39 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*h*j**2 - 2093887*h - 44577*j**2 + 269*j wrt h.\nAnswer: 2*j**2 - 2093887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -258? (a) 4 (b) 5 (c) 51 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 - 2*d + 1. Let f(m) = -4*m. Let y be f(-1). Let h = y - 2. Suppose 2*b + 10 = 4*q, h*b + 0*q = -4*q + 14. Calculate z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -70, -14, 94, 272?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40524 and 13068.\nAnswer: 4011876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 157 + 389. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 351 (base 6) to base 11\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 32.41, -0.3 in increasing order.\nAnswer: -0.3, 1, 32.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 1048918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 - -20) + 7 + -70.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18035?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 193\/14 + -27\/2. What is the smallest value in t, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, 687266 in decreasing order.\nAnswer: 687266, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5572242 and 45?\nAnswer: 27861210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.5 + 10.82. Let o = n - -0.88. Let a = o + 4.8003. What is a rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.05719828 - -0.05726. Round g to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3581244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c**2\/4 - 83*c\/4 = 0. What is c?\nAnswer: 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 648, 1307, 1952, 2577, 3176, 3743, 4272, 4757?\nAnswer: 5192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 31\/5 of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 580\/17. Let f be (-3)\/((-81)\/141) - (-14)\/(-63). Which is the nearest to -0.01? (a) 0.1 (b) f (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 118415*v**3 + 30*v**2 + 12*v - 183?\nAnswer: 710490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/13)\/5 - (-72)\/(-39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4925584 divided by 211?\nAnswer: 23344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93.607 - 92.2. Let z = 1.4 - m. Round z to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 572604 (base 8) to base 3\nAnswer: 100212000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 993.0982 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 233108 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(-2*sqrt(4)) - (-4 + 1 + sqrt(2))**2) + (0 + sqrt(6)\/sqrt(3)*5)**2 + 3.\nAnswer: 11*sqrt(2)\/2 + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -6 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p = -189 + 211. Solve -p*w + 1 = g, 0 = 5*g + 4*w - 0 + 13 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 13*r**2. Let x(t) be the third derivative of -t**5\/20 + 82*t**2. Calculate j(x(u)).\nAnswer: 117*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 5:40 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -34688281?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.107 - -0.107. What is the second smallest value in f, 0.3, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.33657076105.\nAnswer: -4.33657076105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -5. Solve 2 = -3*s - b for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - s + 29307998 = -0*m, -8 = 4*s. Suppose -100*u = -66*u - m. Round u to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 108 = 2*f - 102, 5*f + 10 = 4*g. Let r(c) = -4*c - 9. Let l be r(-7). Suppose 0*y + l = y. Calculate the remainder when y is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 82, 105?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 + 3*h + 2. Let p be u(-4). Is 11 a factor of (14\/p)\/((-6)\/(-108))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12462582 or -12462580?\nAnswer: -12462582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**19\/o))\/o**19 assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 539 a factor of 33702715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2 + 7*x. Let r(w) = w**2 + w - 1. Let m(c) = d(c) - 3*r(c). Let y = -11 + 15. Let z be m(y). Solve z*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 5*o = -661, 2*r - 163 = -4*o + 241. Suppose t + t = r. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**6\/6 + 4*u**5 - 25*u**4\/4 - 1250*u**3\/3 + 1250*u**2 + 561*u + 1. Determine v, given that k(v) = 0.\nAnswer: -5, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (63\/(-30))\/(-7) - (-16159)\/(-1130)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 10 - ((-270)\/(-8))\/(297\/(-36) + 14)?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 721*s + 5. Let l(g) = -51552*g - 358. Calculate 358*b(c) + 5*l(c).\nAnswer: 358*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(2 - 2 - 2*f) + 4 - 4 - f - 5*f + 2*f + 2*f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 561800695 to the power of 1\/2, to the nearest integer?\nAnswer: 23702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 37 - 23. Suppose -p + 0 = -x. Calculate the common denominator of 7\/p + (-147)\/(-48) and -13\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 362*v**2 + 17*v + 93. Let x(p) = -72*p**2 - 3*p - 18. Give 11*x(k) + 2*y(k).\nAnswer: -68*k**2 + k - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3977 - -37413. List the prime factors of z.\nAnswer: 2, 5, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*j + 17 = 0, 4080*j - 4108*j - 140 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 330977536 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: Is 2 a factor of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/6*21\/14)\/((2016\/14)\/(-16))?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msccssicumcscssss. Give prob of sequence smu.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-46)\/(-76) - 160\/(-480)*(-6)\/19. Factor -a*f**2 + 0 + 0*f - 1\/2*f**4 + f**3.\nAnswer: -f**2*(f - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*j + 2637*j**2 - 5273*j**2 + 2634*j**2 - 47*j.\nAnswer: -2*j**2 - 67*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 136*h - 238. Let u(v) = -34*v + 57. Let i(k) = 2*o(k) + 9*u(k). Calculate i(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33749 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5110*k**2 - 10456*k**2 + 5045*k**2.\nAnswer: -301*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234.01 + 233. Let g = w + 6.11. Let n = 5.100017 - g. Round n to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-4)*a**(-2)*a*a**(-1\/10)*a**(-1))**(-2\/97) assuming a is positive.\nAnswer: a**(61\/485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 74*n**3 - 6*n**2 + 20964*n + 358185232.\nAnswer: 222*n**2 - 12*n + 20964","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*z - 4*z + 11*z + (3 - 2 + 0)*(z + 5*z - 4*z).\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 15, 5, -1212, -2 in descending order.\nAnswer: 15, 9, 5, -2, -1212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 0. Let s be ((-3)\/w)\/(1\/(-25)). Suppose s*u = -0*u + 25. Let x(z) = -z. Calculate x(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -76051632*u**3 + 152103264*u**3 - 76051629*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8 - (-140)\/(-15))*1\/(-4). Find v such that 0 - u*v**4 - v**3 + v + 1\/3*v**2 = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, y: 2, i: 1, l: 9}. Give prob of sequence ll.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 2. Suppose f - 4 = -p*f. Suppose -4*d + 151 + 1 = -f*a, -189 = -5*d + 4*a. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 51*y**4 - 7308 + 7308 + (y**3 + 2*y**3 - y**3)*(-4 + 4 + 2*y) - y**2 + y**2 + 3*y**4 + (0*y + y - 3*y)*(5 + 2*y**3 - 5).\nAnswer: 54*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n**4 + 130*n**2 - 986 wrt n?\nAnswer: 20*n**3 + 260*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.41712 grams to micrograms.\nAnswer: 26417120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -2, -13, -42, -95, -178, -297?\n\"Answer: -n**3 + 8*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -1.95494.\nAnswer: 0.586482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3*m = -0*w + 64, -3*w - 91 = 2*m. Let o = 69 + w. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*(-15)\/1620*4\/1*5.\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60 - -71. Let v(m) = m**2 - 12*m + 9. Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(216) + sqrt(216)*-2 - (sqrt(96)*1 + sqrt(96)))\/(3*sqrt(588)*-2).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 25488600, 25488591, 25488582, 25488573, 25488564, 25488555?\n\"Answer: -9*s + 25488609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (9 + -15) - -9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16\/39 - 158\/195. What is the closest to m in -1, 1\/26, 3?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117581 (base 12) to base 3\nAnswer: 112100111021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11471, -11469, -11467?\n\"Answer: 2*w - 11473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 2 - -42 - (2 - (-2 + -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011021 rounded to four dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + 2*sqrt(1400))\/(sqrt(2) + sqrt(2) + (sqrt(2) - sqrt(24)\/(sqrt(12)*2))).\nAnswer: 42*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535*-2.\nAnswer: 1070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 4*j**2 - 3*j - 1. Let v be o(-3). Sort -1\/4, 2\/19, v, 3 in decreasing order.\nAnswer: 3, 2\/19, -1\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21 - 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2833\/10, -2\/15, -3\/67?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c - 3. Let j(n) = -n**2 + 2*n + 5. Suppose 0 = -f - 4*f + 20. Let q be j(f). What is the smallest common multiple of 6 and o(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 14. Suppose -3*m - 4*m + 14 = l. Suppose -3*x + 86 = -2*a, -3*x - m*x = a - 165. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 + 35. Which is bigger: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76675, 76661, 76637, 76597, 76535?\nAnswer: 76445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1586350604?\nAnswer: 2, 11519, 34429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, 42 in decreasing order.\nAnswer: 42, 7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3\/11)\/d**9)\/(d**(-1)*d**(-1\/5)\/d) assuming d is positive.\nAnswer: d**(-389\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 14)\/(-5) - -2. Is 3\/z + 7928\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5 + 963226*u**4 + 5779395*u**3 - 2889680*u**2 - 15411724*u + 11558784 = 0. What is u?\nAnswer: -6, -2, 1, 963232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-141)\/(70500\/(-400)))\/4\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 6) to base 13\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 10:17 AM?\nAnswer: 7:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7232 - 485 = i - 3*d, -i = 4*d - 6733. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11214403410 (base 5) to base 9.\nAnswer: 25725431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102642277*j**2*q**2*v**3 - 12*j**2*q**2 + 38343*j**2*v**2 - 83*q**2*v wrt v.\nAnswer: -615853662*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 + x + 6*x**4 + 7*x**4 + 17*x**2 - 15*x**2 as a + r*x**2 + d*x**4 + f*x**3 + b*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*g**5 - 10592*g**4 - g**3 + 698885*g**2.\nAnswer: 480*g**2 - 254208*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and -0.01728.\nAnswer: -0.7776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, r: 1, y: 7, g: 5, p: 1, l: 1}. Give prob of sequence cr.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 6:49 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**4\/17 + 46*h**3\/17 + 378*h**2\/17 + 1274*h\/17 + 1372\/17 = 0. Calculate h.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/2*(-4)\/2. Let p be 4 + (-45)\/(-27) + 4\/(-6). Solve p = 2*l + r*q, q = -l - 4*q + 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.22 times 64.494?\nAnswer: -14.18868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*o = 98*o + 28, 5*o + 21 = 2*g. Let c(v) = 3*v**2 + 20*v + 38. Determine c(g).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 188 - 143. Find the first derivative of v + 4496*z**2 + 45*z**3 - 4496*z**2 wrt z.\nAnswer: 135*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20034 plus 13979303151?\nAnswer: 13979323185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 - 3*h - 1 - 9*h + h**3 + 7*h. Suppose -3*n + 23 = 47. Let x be q(n). Round x to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 + 49*r + 30 + 67*r - 16)*(3 - 3 - 2*r)*(-11*r - 2*r + 6*r) as q*r**2 + j*r + g*r**3 + p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -774253 or -19356312\/25?\nAnswer: -774253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 10*i**2 + 13*i - 15. Let s be l(11). Which is bigger: s or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 5. Let n = 0.051431 + 0.448569. What is the smallest value in n, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2378714, 2378713, 2378712, 2378711, 2378710?\n\"Answer: -x + 2378715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 608*c - 3648. Determine p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -56 - 324*h**2 + 98*h**4 + 108*h - 1372\/5*h**5 + 336*h**3. Find a such that m(a) = 0.\nAnswer: -1, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*w + 19*w + 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 20*s + 10 = -19*s, 0 = -4*l - 2*s + 8 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 25095642487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269990951.\nAnswer: 3, 19, 4457, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 45.\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -41 and 0.04.\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g + 7. Let f be r(5). Suppose 3*w + z - 44 = 3, 3*w = -4*z + f. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 f when four letters picked without replacement from {f: 10, o: 2}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 204844793 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 43810389967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 93*q - 23*q + 272*q - 11306520. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -400*p + 1091*p - 4008*p - 3980 - 1036*p wrt p.\nAnswer: -4353","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 480 and 600.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vyzvzvyxvyd. Give prob of sequence xv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000198995376 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k - 55 = 440. What is the highest common divisor of 235 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25122 - 25126. Which is the fourth smallest value? (a) y (b) 1.4 (c) 1 (d) 2\/311\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/24 + 1081*p**2. Let o(j) = -2*j**2 - 787. What is o(d(k))?\nAnswer: -2*k**2 - 787","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22443002 + 14?\nAnswer: 22443021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4482 - -0.7479. Let g = -0.7 - -0.4. Let t = g + p. Round t to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 502 = 534. Suppose -h*q = 2*y - 6*q + 2, -9 = 3*q. Let 6\/19*t**y - 8\/19 + 2\/19*t**4 - 8\/19*t**3 + 8\/19*t = 0. What is t?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117\/124 - 6\/31. Factor v*g + 1\/2 + 1\/4*g**2.\nAnswer: (g + 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(-28) - 6\/(-8). Sort 4, -1, c, 0.\nAnswer: -1, 0, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -316*r + 177*r = 4309 for r.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a hour in minutes?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -4, 1, 4, 5, 288, 12 in descending order.\nAnswer: 288, 14, 12, 5, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 24 + 3 = 0. Suppose 2*a + f - 1154 = 0, y*a = 5*f + 1296 + 422. Is a a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1707 - 0) + 6 + (-17 - -6). Let l = f + -885. What are the prime factors of l?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 2 - 2)*(-15 - 7*x + 5*x + 5) + 6*x**2 - 3*x**2 - 7*x**2.\nAnswer: -6*x**2 - 10*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1941146723 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.62 - 1.6.\nAnswer: -0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -1617*r - 8466. Give s(-5).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -92273, 150, -1 in descending order.\nAnswer: 150, -1, -92273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (25\/(-20))\/(1\/(-4)). Suppose 0 = s + 3*t - 4, w*s = 2*s - 3*t + 12. Solve -2*u**2 + u**s + u + 0*u**4 - 2*u**3 + u**3 + u**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-45)\/(-10) + (-3)\/(-6). Let s be (-68)\/2*(t + -4). Let v = -31 - s. Sort 18, v, 0.\nAnswer: 0, v, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.8 - -0.3. Let z = -18 - -20. Sort z, -2, v in decreasing order.\nAnswer: z, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21467 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*o - 4*o - 147 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 6*(sqrt(3) + 0)**2*1 - -2*((sqrt(1728) + 0)**2 - sqrt(27)).\nAnswer: -6*sqrt(3) + 3478","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28860 + -28672. Solve -x*q + 195*q + 14 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 3*y - 6 = 5*y, 5*p = -y - 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -8, 3, 44, 6, -55, 2\/9 in descending order.\nAnswer: 44, 6, 3, 1\/4, 2\/9, -8, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1002 + 1005. Let s be (-6)\/12 + 0 + 1. Which is the nearest to -1\/2? (a) 1\/6 (b) v (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14098 bigger than -14095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2574261957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 6 = 5*h, 39178*c - 39176*c + 3*h + 12 = 0 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -d**5\/15 - 2*d**4\/3 - 2*d**3 - 5*d**2\/2 + 5*d + 2. Let q(c) be the second derivative of k(c). Factor q(f).\nAnswer: -4*(f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 9 (c) 66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 127.208 + 3.092. Let c = -114 + n. Round c to the nearest integer.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b - 9*b**3 - b - 2*b.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -123450 divided by -5\nAnswer: 24690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiyiaf. What is prob of sequence yf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -5*y - 11. What are the prime factors of y?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4661811 by -10571.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8777*c**2 + 8777*c**2 - 1828989*c**3.\nAnswer: -1828989*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:41 PM?\nAnswer: 10:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n*n**(1\/24)*n)\/n))\/n)**(-48)*(n\/(n**(1\/28)*n))\/n*n\/(n\/n**(8\/15))*n*n assuming n is positive.\nAnswer: n**(21629\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-63)\/(-14))\/(9\/12 + -1). Is (-11)\/(693\/(-14)) - 7034\/h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**2 - 5*r**2 + 35*r**2.\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -17, -1 in increasing order.\nAnswer: -17, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -896*i - 993 with respect to i.\nAnswer: -896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -6.3. Let h = -115 - -178. Let k = 190\/3 - h. Are k and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*f - 18401 - 415 = 0. Calculate the greatest common divisor of f and 8288.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*c - 44*c = -250. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 416 a factor of 2716064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 12930080.\nAnswer: -3\/12930080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {f: 2, k: 3, h: 3, s: 3, r: 3, m: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171*m**3*q**5 - 54*m**3*q**2 - 2*m**3 + m*q**2 wrt q.\nAnswer: -10260*m**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 26226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 63.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3434543 - -540?\nAnswer: -3434003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -24a6?\nAnswer: 24aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6757, 27136, 61137, 108760, 170005?\nAnswer: 244872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 7*c + 28. Suppose -x - 1 = -3*f, -5*f - x = 8 - 7. Suppose f = c*u + 13 - 48. Solve -z - 2 = u*s - 3, 0 = -5*s + 5*z - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7098614635 + -6\nAnswer: -7098614641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -199.9607 - 0.0393. Is -1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 59260247?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + k)*(-6*k + 3*k + 0*k) + 261*k**2 - 428*k**2 - 5 + 3.\nAnswer: -170*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*j**3*l**3 - 42*j**2*l**3 - j**2*l**2 - 20*j*l**3 - 2*j*l**2 + 9*j*l wrt j.\nAnswer: 108*j*l**3 - 84*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u**2 + 13*u - 20. Suppose 26 + 19 = 5*w. Calculate the least common multiple of w and o(-6).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/17, 1\/4, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 11 - 3*h + 0*h - 13. Suppose 4*q + q - 10 = 0. Suppose -4*a + 2*p = 14, -5*p - 1 + 0 = q*a. Let b(l) = 4*l + 3. Determine a*f(j) - 2*b(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 * 18.\nAnswer: -3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + -4*(sqrt(480) + sqrt(30)))\/(sqrt(90) + sqrt(90)*3 - sqrt(90)).\nAnswer: -19*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, f: 7}. What is prob of picking 2 j and 1 f?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1958400 and 130050.\nAnswer: 33292800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 259032 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6597385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 13\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -17202, -68804, -154808, -275214, -430022, -619232, -842844?\n\"Answer: -17201*n**2 + n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20620272*m**3 - 490723.\nAnswer: -61860816*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -346, -1383, -3112, -5533?\nAnswer: -8646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of c**6\/120 + c**5\/60 - c**4\/24 + 65*c**2. Let p(v) = -31*v**3 - 23*v**2 + 8*v**2 + 15*v + 11*v**3. Calculate -15*k(t) - p(t).\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (-16 - -37 - 19) + 27?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.88 times 0.41\nAnswer: -0.3608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 7*o**2 - o. Calculate the remainder when ((-1)\/(-2))\/((-3)\/(-108)) is divided by j(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1640908?\nAnswer: 2, 17, 59, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/60 and -93\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 u when four letters picked without replacement from hchcudihuhdid.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 23*u + 8. Let j(m) = -70*m - 20. Let s(i) = -3*j(i) - 10*z(i). Let o(q) = 7*q + 7. Let p = 42 + -53. What is p*o(v) - 4*s(v)?\nAnswer: 3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9549 is divided by 239?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/j**(3\/4)*j*j\/j**(-4)*(j**(-1\/4)\/j)**(-17\/2)*(j*j\/j**(-3))\/j**5*(j\/j**(2\/7))**(3\/4) assuming j is positive.\nAnswer: j**(975\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 + -1. Let a be ((-6)\/3)\/((-2)\/4). Suppose 2*s + 32 = a*s. Calculate the remainder when n is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-67)\/(-3) - (66\/(-18))\/(-11). Solve a - 2 = 5*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -2\/23, 0.2 in decreasing order.\nAnswer: 0.2, -2\/23, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3903215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 9 - 1 = 4*v, -2*v + 5*t = -16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1790 + -777. Suppose j = 4*g - 663. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/19)\/g)**21\/((g\/g**(1\/15))\/((g*(g**(-15)\/g)\/g)\/g)) assuming g is positive.\nAnswer: g**(-10466\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3110*n + 1287574. What is v(-414)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)**(-32)\/(((m\/(m*m**(-1)))\/m)\/m)**6 assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - -43cc86?\nAnswer: 43cc99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 11:52 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/3284866 and -33\/32848660.\nAnswer: 32848660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 382293 and 2081373?\nAnswer: 18732357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2498, -4226, -5954, -7682, -9410?\nAnswer: -11138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 223680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.24, -8, -6\/8627, -3 in decreasing order.\nAnswer: -6\/8627, -0.24, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 5*y**2 + 4*y - 5. Let a be k(-4). Let o = a - 5. Let g be (-2)\/4 - o\/12. What is the third biggest value in 3\/4, g, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2299, -4591, -6883, -9175, -11467, -13759?\nAnswer: -16051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*c - 4*c**2 + c**2 - 143*c - c**3 + 10 - 10 to the form x + i*c**2 + v*c**3 + a*c and give a.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 137 + -135. Solve -f = -z*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 + -8. Let t(l) = 6*l**2 - 27*l - 4. Let r be t(5). What is the greatest common divisor of c and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78.81302256 to one decimal place.\nAnswer: -78.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p - 50. Suppose -5*d = -p - 0. Let i = 2 - -1. Solve d*s - 4*a = -2*s, 20 = i*s + a for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -673 (base 11) to base 13.\nAnswer: -4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/6 of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven halves of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m - m + 12*m.\nAnswer: 34*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5424 and 34848?\nAnswer: 3937824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - o = 130 - 22, -5*i + 4*o = 522. Let w = -89 - i. What is the remainder when 22 is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(36)*4 + 4*sqrt(2304))\/(sqrt(48)\/(sqrt(12)\/sqrt(3)) - (sqrt(12) + -2*sqrt(12)*-4)))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-9460)\/30)\/22 + 1\/3. Suppose n = 6*n. Which is greater: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59 + -85 + (5 - -23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -627*o**2 - 60 with respect to o.\nAnswer: -1254*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 471, 3250, 8315, 15666, 25303, 37226, 51435?\nAnswer: 67930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200153.\nAnswer: 200153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 55 - 39. Let n = 15 - h. Let c = 0.05 + -0.55. Sort -5, n, c in descending order.\nAnswer: c, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6cc (base 14) to base 6.\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b - 2*l - 11, -l + 8 = -26519*b + 26522*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/2)*(((b**(-2)*b)\/b*b)\/b)\/b assuming b is positive.\nAnswer: b**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*z + 64, 2*z - 6 - 26 = -2*p. Suppose 5*q + 1 = z. Solve -3*f + q*v = -15, 3*v + 5 = -3*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 75425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, -25, -2 in decreasing order.\nAnswer: 5, -2, -6, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2404267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -11 in increasing order.\nAnswer: -11, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from gcttg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.25 + -0.05. Let l = 16\/9 + -109\/36. Suppose 93*n - 15 = 88*n. Put l, n, q in increasing order.\nAnswer: l, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 21914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.154996 to two decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + d + 11 = 0, -5*d = -3*o + 14 + 13. Suppose o*w = -4*u, 0 = -2*u - u - 3. Put 0, 5, w in decreasing order.\nAnswer: 5, w, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*i - 20, i + 3*s + 2*s = 5. Suppose 0 = -3*k + i*j - 17, -5*j = -k - 3*k - 16. Are 2 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**4 - 6*i**3 + 17*i**2 + 6*i + 86. Let w(a) = -a**3 + a + 1. Let k(c) = -t(c) + 6*w(c). What is the first derivative of k(j) wrt j?\nAnswer: 16*j**3 - 34*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 302*s**2 + 8*s - 1. Let p be o(4). Suppose -7*v + 4*v = -p. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33601?\nAnswer: 33601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20969033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1090 divided by -545\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(110)\/(3*sqrt(11) - sqrt(11))).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 659\/87 - 210\/29. Let d = -5.9 + -0.1. Sort d, -5, z.\nAnswer: d, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s**3 + 10875*s**2 - 236935*s + 226065 = 0. Calculate s.\nAnswer: 1, 21, 2153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -g**3*n**2*u + 9*g**3*n*u + 7*g**3*u - 3*g**3 + 8*g**2*u + g*n**2 - 11*n*u - 4*n + 2*u wrt g?\nAnswer: -6*n**2*u + 54*n*u + 42*u - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12083371.\nAnswer: 47, 257093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/250352 and 13\/15647.\nAnswer: 250352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7525 and 175.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3584107 microseconds to milliseconds.\nAnswer: 0.0003584107","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -68. Suppose v*s - 5*s = 26. Suppose -23 = -3*t + s. Calculate the highest common divisor of t and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-4 - (0 + -2)) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*x - 99*x = 3*h - 4354, -2*h = 5*x - 21705. List the prime factors of x.\nAnswer: 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70159 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 1, j: 1, k: 2, f: 2, y: 4}. Give prob of picking 2 k.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 72 = -w + 18, 3*w = 2*o + 202. Find the common denominator of (-10)\/(-35) + (-279)\/w and -27\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.2 + -26.094. Let z = -0.10599715 + y. Round z to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 36. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65)*2 + sqrt(65))*4 + sqrt(65) - (sqrt(65)*-1 + sqrt(65))*6)\/(((sqrt(150)*-2)\/sqrt(5))\/(sqrt(24)\/sqrt(4)*1)).\nAnswer: -17*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 662*m + 665*m - 361, -2*v + 4*m = -134. Solve -69 = 2*l - v for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. Let j = 79.28 + -0.28. Let d = j - 76. Sort d, -4, r in decreasing order.\nAnswer: d, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -193512530 divided by -190\nAnswer: 1018487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -294000 to the nearest 10000.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*54\/(-810))\/((-13)\/((-208)\/(-72))).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 g when three letters picked without replacement from gogtaaaaotag.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 148*t**3 + 19*t**2 - 7*t - 17. Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 + 48 - 11*k + (k + 0*k + k)*(3 + 2 - 6) + k - 4 + 4)*(128*k**4 + 7*k**4 + 27*k**4).\nAnswer: -1944*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88501970.\nAnswer: 2, 5, 8850197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.272738 - 17.594638. Let h = -17.3 - o. Round h to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (9 + -2 + -1 - (-23 + 34))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116.111 - 0.111. Let h = 115.9999979 - i. What is h rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(2\/11))**(-2\/19)\/(i*i\/i**(-1\/36)*i**(8\/5)) assuming i is positive.\nAnswer: i**(-139717\/37620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 0*f**2 + 9*f**2 + 7*f**2 - 5 - 3*f - 4*f**2. Let z(n) = 11*n**2 - 4*n - 6. Let b(m) = 6*h(m) - 5*z(m). What is the second derivative of b(k) wrt k?\nAnswer: 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8122 (b) -1\/4 (c) 16 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/6 + 19*q**4 + 4813*q**3\/6 + 1055*q**2 - 18228*q = 0.\nAnswer: -31, -6, 0, 4, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tythukhkhult. Give prob of sequence tyk.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 352 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -6*p. Suppose p = -v + 3. Suppose -v*s = -1 - 2. Is s greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 + -3916.\nAnswer: -3917.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 6295.472um?\nAnswer: 0.000006295472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.013 * 489248.\nAnswer: 6360.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-2)*19\/((-38)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from bbvvvbb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.8 - -14.2. Let p = -28 + m. Let k = p + 11.966. Round k to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 + 0*h - 6*h + 2*h**3 + 5*h - 2*h**4 in the form m*h + x + j*h**4 + z*h**2 + q*h**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011876.811 rounded to the nearest 1000?\nAnswer: 1012000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1022021100101 (base 3) to base 6\nAnswer: 22514101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -11*g - 20. Let r(c) = -g*c**2 + 7*c**2 + 7*c**2. Let f(x) = -2*x. Determine f(r(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 110321112213 (base 4) in base 12?\nAnswer: 1a02033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -474 - -738. Suppose 0 = 5*a - 111 - y. Suppose j = 3*j - 100. Calculate the greatest common divisor of j and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22\/5 - 6\/15. Let u be (x\/3)\/(6\/9). Suppose -u*c - 10 = -5*t + t, 2*t + 4*c = 30. What are the prime factors of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 16324.\nAnswer: 4897.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2) - (0 + (-26)\/4). Let b be ((-6)\/(-4))\/(1\/2). Solve 0*s - 7 = 3*n + s, b*n - v*s - 17 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -15621?\nAnswer: 15622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) + sqrt(486)\/(sqrt(9)*-2))*5)\/(6*(sqrt(48)\/sqrt(2))\/sqrt(8)).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18510 divided by 5\nAnswer: 3702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-2)*(4 + (-108)\/21). Let y be (s\/(-12))\/(2\/(-12)). Suppose j = y + 21. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u + 8, -3*r + 272*u = 276*u - 23 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -3 + 3*(-5 + -3*sqrt(75) + sqrt(75)) + -6*(sqrt(75) + -2 - sqrt(75))*1)**2.\nAnswer: 120*sqrt(3) + 2704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11698524 divided by -20.\nAnswer: -2924631\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9246674*x**2*y + 8*x*y + 3*x - 5*y - 9895 wrt x?\nAnswer: 18493348*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4 = 1. Let o be (12\/(-18))\/(w - -4). Which is the closest to -1? (a) o (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491836 = 29648*p - 23650*p for p.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -1\/2479?\nAnswer: -1\/2479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u**5 - 4*u**3 + u + 1. Let v(p) = -p**5 - p**4 + p**2 - p - 1. Suppose 8 = -6*r + 2*r. Let f(n) = r*v(n) - 2*b(n). What is o in f(o) = 0?\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 9, b: 11}. Give prob of sequence bbe.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -151778.7, -3\/5, -4 in decreasing order.\nAnswer: -3\/5, -4, -151778.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v + 3*f + 5630 - 5639, 0 = v - 2*f - 14 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-2 - -17) + -15 - 0) + 11 + -117\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 58*i - 43*i. Let g be 377 + (-2 - i) + (-6)\/(-2). What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1529.44 rounded to 0 dps?\nAnswer: -1529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 193084 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/113383144 and -47\/16668.\nAnswer: 1020448296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-8))\/(((-6)\/54*-3)\/3).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 6:02 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3.4 * 17\nAnswer: 57.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 201742 to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/((x**(1\/7)\/x)\/x))*x*x*x**(-2\/19))\/(x**(2\/7))**(-5\/7) assuming x is positive.\nAnswer: x**(1156\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -273 = 34*z - 125*z. Factor 1\/3*r**z + 1 - r**2 - 1\/3*r.\nAnswer: (r - 3)*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 32. Let k be (-2)\/(-7) - 620\/(-35). Suppose 4*c - 30 = -2*m - 12, m - k = -5*c. Solve z + 3*a = d - 0, c*z + a = 17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -184 - 13*a**2 + 184. Let y(p) be the third derivative of 0 + 0*p - 1\/24*p**4 - p**2 + 0*p**3. What is y(i(s))?\nAnswer: 13*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9034 is divided by 1285.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 - 111. Let t be ((-3)\/(-6))\/((-1)\/6). Which is the second biggest value? (a) t (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.05, 24\/5, 0.4, -2.9 in decreasing order.\nAnswer: 24\/5, 0.4, -0.05, -2.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1202 - 4?\nAnswer: 1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/10)\/(m\/(m*m**(3\/5))))\/(m**(-2\/23)*m\/(m*m\/m**(-4))*m) assuming m is positive.\nAnswer: m**(1009\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/99837466 and 51\/16136.\nAnswer: 399349864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 137492432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/231431?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 727 - 652 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/(-8))\/((-5)\/(-20)). Suppose -3*j + b + 5 = 0. Solve -j + 1 = -f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -18.4, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 714907161 from 0.1714.\nAnswer: -714907160.8286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 8*z - 7. Suppose 0 = 3*t - 18 - 9. Let b be u(t). Factor -a**4 + 2*a**2 - 3 + a**3 + a**3 + b - a - a**5.\nAnswer: -(a - 1)**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4091354 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-889)\/(-1016)*4\/(-14). What is the nearest to 0.3 in p, -0.5, 0.55, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u + 0)*(-618 + 618 + 26*u)*(-179 - 48 - 205).\nAnswer: 11232*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 100, -2, 3, -5, -1, -8, -177 in descending order.\nAnswer: 100, 3, -1, -2, -5, -8, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 = -59*d - 78 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 13\/3794 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, b: 2, y: 2, m: 3, e: 6}. What is prob of picking 1 b, 1 e, 1 t, and 1 m?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-44)\/(-8))\/((-3)\/18). Let o be 4\/22 - 2573994\/z. Round o to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-2))\/((-3)\/144). Solve -16 = 5*h + 2*s, -5*h - 3*s + 5*s = l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -4, -3, -1, -1297, 4 in descending order.\nAnswer: 5, 4, 0, -1, -3, -4, -1297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*k = v + 41*k - 1354, 3*k + 5396 = 4*v. Calculate the least common multiple of 4 and v.\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 5*f = 5. Let k be ((-2)\/2)\/(7\/49). Let m = -6 - k. Which is the nearest to m? (a) 4 (b) 3\/8 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imj when three letters picked without replacement from imdjdjssdjjj.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -46?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - 36*1)\/(-1). Suppose p + 2 = 2*m. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - s - 96. Let m be 3\/((-4)\/(s\/(-9))). Find the first derivative of 7*j**2 - 12*j**2 + 3*j**2 - m wrt j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4, 2, -1.\nAnswer: -1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-78) - (-2640)\/(-5850) - -1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 1983?\nAnswer: 7932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**3 + h**2 + h - 1. What is n(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 1:13 PM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000111000111000 (base 2) to base 14.\nAnswer: -d3a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 100\/((-77996)\/26000 - -3). Suppose c + 4*c - w = 0. Round c to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 377774\/41 - (4*-2 + -1). Calculate the greatest common factor of l and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 26. Let t(q) be the first derivative of j*q**3 + 7\/2*q**2 + 7*q + 1\/4*q**4 - 1. Calculate t(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 1618*z + 1629*z + 6 + 11.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**4 - q**4 - 3*q**4 + 93*q + 10 - 24*q**4 - 91*q + 11*q**4 + (-2*q**2 - 2*q**2 + 3*q**2)*(60*q - 60*q - 16*q**2).\nAnswer: 5*q**4 + 2*q + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12744 or -3629?\nAnswer: -12744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -269*s**3*x**4 + s**3*x - 24*s**2*x**2 wrt x.\nAnswer: -6456*s**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h = -h + 54. Calculate the remainder when (4\/(-2))\/(1*6\/h) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 20 = 0, 3*s + 8 + 8 = 4*l. Let w = -2005 + 2008. Solve -w*h - 14 = o, 5*o - 23 - l = 5*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4 - (3787\/308 - 9) and 109\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 0. Suppose h*w - 6*w - 3 = 0. Is w\/(-3 + (-384)\/(-129)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 2 y when four letters picked without replacement from ryrbbybrb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-2*u**4 - 11*u**5 + 2*u**4) + (3 + 1 - 3 + (-5 + 3 + 3)*(0 - 2 + 0) + 5 - 2 - 1)*(-u**5 + 0*u**5 + 4*u**5).\nAnswer: -8*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 91*x**2 + 3*x + 7. Let k be j(3). Let t = k + -797. What is the remainder when 131 is divided by t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.15494 to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 0*q = 5*s + 2*q - 2*q - 210, 0 = 3*q - 174 + 9 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**2 + 2*f - 2*f - 2*f + (2 - 5 + 0)*(-f**2 - f**2 + 0*f**2).\nAnswer: 5*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 1423.\nAnswer: -41\/1423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*u - 11. Suppose -5*z - d = -17, 0 = -2*z + u*d - 3 + 5. Suppose p - 9 = -z*k, -p - k + 69 = 3*p. Solve -6 = 3*h - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 2:11 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-13)\/2)\/(((-13)\/(-48))\/(-13)). Find the common denominator of 0 + 3 + -1 + z\/54 and 119\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*9.7\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.209852359 * 0.4.\nAnswer: 0.0839409436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 8*q**2 + 9*q + 3. Let n be s(9). Suppose -3*b - 9 = n*g - 0*g, 3*g - 3*b = 21. Solve 0 - 4 = -g*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 101, 373, 825, 1457, 2269, 3261, 4433?\n\"Answer: 90*d**2 + 2*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*l**4\/7 - 14703*l**3\/7 + 951150*l**2\/7.\nAnswer: 3*l**2*(l - 746)*(6*l - 425)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1821 - 3526 = 199*x + 4205 for x.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (101 + (-2277)\/22)\/((-10)\/364).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**2 + 11*s**2 + 16*s**2 + (s + 0*s + 0*s)*(s + s + 7*s).\nAnswer: 43*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12061, -24107, -36143, -48163, -60161, -72131, -84067?\n\"Answer: v**3 - v**2 - 12050*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -4 + (-623 - -644)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 10:38 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 + 5*p**2 - 223.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 1872 = 2*s - 897, b - 4*s - 567 = 0. What is the remainder when b is divided by 140?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - -173. What is the fourth smallest value in 6, 1\/6, 0.3, x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -6 (b) 0 (c) 3 (d) 491 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51363, -51406, -51445, -51480?\nAnswer: -51511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*w = -2*b - 2*b + 52*w - 6 - 67, w - 31 = 4*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.002, 32, 0.17?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 820\/(-50) - (6942\/195 - 38). Let k be 1\/((-5)\/(-2) - 2). Suppose 0 = -w - k*w. Which is the second smallest value? (a) -5 (b) w (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 694032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 149008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (12 + -10 - 16) + 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**6 - 20*v**3 + 29*v**2 - 10 wrt v?\nAnswer: 120*v**3 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/(-232))\/((-8)\/(-16)). Sort n, 4\/9, -14 in descending order.\nAnswer: 4\/9, n, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.02, -0.5, 3321, -0.24?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 22084*m + 4. Let o(y) = -2*y - 9. Determine s(o(q)).\nAnswer: -8*q**2 - 44240*q - 198914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -8*k**2. Let l be h(-1). Let u be ((-2)\/l)\/(30\/(-8)). Is 1 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**5\/2 - 9*x**4\/2 + 9*x**3 = 0.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -75, -242, -529, -942, -1487, -2170, -2997?\n\"Answer: -c**3 - 54*c**2 + 2*c - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**2 - 6*k - 5. Let w be t(-6). Let m = -45 - w. Let c = 235045 - 235024. Calculate the remainder when m is divided by c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.9 - -14.8999709. Round c to 6 dps.\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -5\/3 - 1\/3*k**2 - 2*k = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*b - p, -p = b + 2*b - 28. Suppose 5*u - 36 + b = 0. Suppose -u*r - k + 226 = -2*r, -2*r = -3*k - 136. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 14*b = -18*b + 4622, -2*b = 4*r - 9268. What are the prime factors of r?\nAnswer: 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 143\/7. Suppose -i - 2 = 5*l, -2*i + 2*l = i + 6. Let d = i + 2. Which is the smallest value? (a) p (b) -1\/6 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/2 (b) 1\/3 (c) -2\/7 (d) 5 (e) -663\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 294+-12.686\nAnswer: 281.314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118 - -2.3.\nAnswer: -115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121372 to the power of 1\/2, to the nearest integer?\nAnswer: 1456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5}. What is prob of picking 4 a?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -3, -0.1, -9005 in descending order.\nAnswer: -0.1, -2\/19, -3, -9005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80 + -64 + -13 + -14?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -3*s**5\/2 + 243*s**4\/2 + 12543*s**3\/2 + 65601*s**2\/2 - 6270*s - 32922 = 0?\nAnswer: -31, -6, -1, 1, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {d: 1, t: 3, b: 4, r: 2, m: 3, e: 2}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26428344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 10) to base 11.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 w, and 1 u when three letters picked without replacement from {x: 1, w: 7, u: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a kilometer in meters?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 7*v - 9. Let f be ((-464)\/(-24))\/(4\/6). Suppose f = 5*l - 10*l - t, l + 4*t = -2. Determine x(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1237803, 2475619, 3713435, 4951251, 6189067?\n\"Answer: 1237816*h - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/30 of a century in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-8)*j)\/j*j)\/j**(5\/6)*j**1*j**(1\/2) assuming j is positive.\nAnswer: j**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001143 rounded to five decimal places?\nAnswer: 0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -550404 * -5.\nAnswer: 2752020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 7*m**2 + 10*m + 5. Calculate u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in 3, -97, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11862 and 96.\nAnswer: 189792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 21 = 0, 4*q - 44855 = -5*f + 19622. List the prime factors of f.\nAnswer: 7, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 12:46 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*f**5 - 575*f**4 + 6525*f**3 - 31025*f**2 + 61860*f - 36800 = 0. Calculate f.\nAnswer: 1, 4, 5, 16\/3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 113\/27?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -292.2859 - -0.21057?\nAnswer: -292.07533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 12. Let a be n(7). Suppose -1 = -3*f - 4*d + 5, 0 = a*d + 15. Let k = 79 - 84. Put 0, k, f in increasing order.\nAnswer: k, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20586106*w - 2*b = -20586101*w - 2, 0 = 5*w + 3*b - 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1577 - 44a?\nAnswer: 112d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 5*c**2 - 2*c - 27. Let h(b) = -3*b**2 + b + 13. Let m(k) = 13*h(k) + 6*x(k). Let y(f) = -f**2 + 1. Determine m(a) - 6*y(a).\nAnswer: -3*a**2 + a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*j - 26*j = -16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -8. Let w = 13 + a. Suppose 3*v + 6*j - j = -w, 4*v - 5*j = 32. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*h**2 - 85*h**2 + 44*h**2 + 14*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 669, 0.4, 3, 0.6, -1\/4, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.01722392 + -0.01731. What is l rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 24*t**2 - 22*t - 3. Let n be a(23). Let y(i) = 55*i + 14. Is y(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14701356 + -4738356. Round j to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.44 from -33.\nAnswer: -32.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4809 and 112728?\nAnswer: 25814712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = t + 2*k - 6*k, 2*k - 33 = -5*t. Suppose t*v + j - 4*j - 19 = 0, 3 = v - j. Calculate the smallest common multiple of 3 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 20*x**2 + 22*x - 16. Let y be w(21). Suppose 0*j = -t - y*j - 19, 4*j + 18 = 2*t. Sort -28, t, 2, -3 in ascending order.\nAnswer: -28, -3, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 - -537. List the prime factors of y.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*sqrt(39))\/sqrt(3))**2.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 30.339487054?\nAnswer: -30.339487054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.05 + -0.15. What is the nearest to k in -0.2, -2, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5105955479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 594 = -107*i - 71, -6 = 2*i - 45525*j + 45521*j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26839, 26671, 26457, 26191, 25867, 25479, 25021, 24487?\nAnswer: 23871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1 + sqrt(637).\nAnswer: -5 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 23. Let a(t) = -4*t**2 - 2*t + 4. Let i be a(2). What is the tens digit of h(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -18*i**4 + i**2 + 14. Let k(j) = j**2 - 1. Let c(s) = -k(s) + y(s). What is the derivative of c(q) wrt q?\nAnswer: -72*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 561614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 8*u**2 + 7*u**2.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5372088809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) 2\/15 (c) 1\/3 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6*v + 14990 = 4*v, 10 = -2*v. List the prime factors of s.\nAnswer: 5, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 770*b - 34792 - 24498 = 0 for b.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 d, and 1 s when three letters picked without replacement from {g: 4, p: 1, d: 5, b: 2, v: 1, s: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*s - 5, 4*s + 7 = -2*u + 9. Let g(z) be the first derivative of 0*z - 2\/3*z**2 + 3 - 4\/3*z**u + 7\/12*z**4. Suppose g(c) = 0. Calculate c.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 951.732ug?\nAnswer: 0.000000000951732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*u - h + 5 = 0, -3*u = 5*h - 17. Suppose u*i - 54 = i. Let k = 57 + i. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 7}. Give prob of picking 2 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 38222 - 8276872\nAnswer: -8238650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 201158 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35482*f + 30680*f + 54160*f.\nAnswer: 120322*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i**2. Let m(x) be the second derivative of -x**7\/1260 - x**4\/3 + 2*x. Let q(c) be the third derivative of m(c). Determine h(q(w)).\nAnswer: 44*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 1)*(-2*q + 3*q + q) - 4*q + 5*q - 2*q + (-q + 5*q - 7*q)*(1 + 2 - 5) + q + 2*q - 5*q + 2 - 2 - 2*q in the form j + c*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3348 and 5301.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*j**3 - 32 - j**2 + 3*j + 4*j + 30*j**3 in the form s*j**3 + a*j + v + f*j**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -0.491.\nAnswer: -0.491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 353*q. Let x(m) = -m. What is x(c(k))?\nAnswer: -353*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ihh when three letters picked without replacement from {h: 4, d: 8, e: 1, i: 1, w: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -230838847 + 109487095970995\/474301. Let u = 2624201065\/1051051016 + l. Let g = 39\/1385 + u. Calculate the common denominator of 63\/4 and g.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p - p - 56. Let y = p + 12. Suppose 0 = -5*a + 2*b + 15, -y*a + 3 = 4*b - 12. Solve -d + 2 = a for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, -16, 33\/8, -1.8, -1, 4?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292708?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -566, 0, 3, -1295, -3 in ascending order.\nAnswer: -1295, -566, -4, -3, 0, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 27*b**8\/56 - 2*b**4\/3 - 28*b. What is the third derivative of u(d) wrt d?\nAnswer: 3240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4350 - 3945. Calculate the highest common factor of w and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 153*w + 16 + 221*w)*(-2*w**4 - 3*w**4 + 4*w**4).\nAnswer: -68*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2638705, -5277409, -7916113?\n\"Answer: -2638704*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - w**2 - w - 2. Let q(k) = 7*k**3 + 112*k**2 - 41*k - 4. Let i(v) = -q(v) + 2*s(v). Let i(f) = 0. What is f?\nAnswer: -13, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -371a96ba - 3?\nAnswer: -371a96c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + -36. Let r = w - -54.6. Round r to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6 or 3683?\nAnswer: 3683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(133))\/sqrt(7) + sqrt(38)\/(2*sqrt(18)))*6*-1.\nAnswer: -25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2220? (a) -1\/7 (b) -10\/13 (c) -1 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 8 = 4*p, -7 = -p - 4*w + 2*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52350832799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70.7 + -77.7. Which is the second smallest value? (a) 4 (b) q (c) 1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/51*2\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -4\/9 (b) 33 (c) -2\/159 (d) -4 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 19.6. Let o = -2 - f. Suppose 19*n + 5*p + 1018 - 978 = 0, -3*p = -2*n - 43. What is the biggest value in 1, o, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {n: 1, r: 1, w: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z. Let c(y) = y**3 + 4*y**2 + 3*y + 4. Let o be c(4). Suppose h = 4*i - 3*h - 208, h = -3*i + o. Let q = i - 51. Determine x(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.36 + -0.29. Which is the third smallest value? (a) 3 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7249 is divided by 74?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 65 - 62. Let o be 33\/22*(10\/q + 0). Is o\/(-20)*(-1 - 3)*3737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*u + 121002 = 0, 302449 = 5*n - 281*u + 277*u. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*n**2 + 11*n**2 + 11*n**3 + 41*n**2.\nAnswer: 11*n**3 + 34*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/21)*w**(-10))\/(w**(-1\/8))**16 assuming w is positive.\nAnswer: w**(-169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 962592.7 millimeters?\nAnswer: 0.9625927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-4)\/(-12)*-2)\/14?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*m*u**2 - 72299481*m + 4890*u**4 - 98*u with respect to u.\nAnswer: -8*m*u + 19560*u**3 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/310*19\/(912\/18)*4\/3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 4:40 AM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 6*i - 4*i)*(-46 + 2*i + 85 - 144).\nAnswer: 4*i**2 - 210*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*y**4 + 6 - 2*y**2 + 24 - 21*y**4 - 141*y**3 - 30 + 6*y to the form f*y**2 + j*y**4 + z*y + w*y**3 + p and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + 6*v - 1. Let q be p(-6). Let b be (-6)\/4*(q - 1). Is (-93)\/9*(-9)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -43. Calculate the lowest common multiple of 28 and m\/(-14) - 2540\/(-70).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h + 20. Suppose h*z - 6*z = 2*y - 2, -5*y - 4*z = -2. Find the third derivative of 0*n**y + 0*n**3 - 7*n**3 + 3*n**3 + 6*n**2 wrt n.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 328 times 7.6\nAnswer: 2492.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000183 to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/187 and 24\/8 + (0 - 94\/6).\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293*b = 297*b - 4*c + 28, 0 = 87*b - 4*c + 277 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -33241 and -33246 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t - 3. Let c(s) = s**2 - 7*s + 4. Let u be c(5). Let f(z) = -6*z - 3. Let n(o) = u*f(o) + 7*v(o). Give n(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.1249 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 573, 3 in ascending order.\nAnswer: -40, 3, 573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -7. Let p be (-4)\/(-10) + 28\/(-20). What is the lowest common multiple of 7 and (w + -13)*(0 + p)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837720067 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 176690948 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 853480 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, c: 2, e: 3, y: 8}. What is prob of picking 3 e and 1 m?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 73.969. Let i = b - 0.509. Let g = i - -0.53926. Round g to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*2*(4 + -5). Let n be (0 - h) + 0\/(-1). Find the second derivative of 0*d - d**n + 2*d**2 - d wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*u - 2*u. Suppose 0 = 5*d + 3*q - 750, -2*d - q - q + 296 = u. Calculate the remainder when d is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/1*(-4)\/6. Suppose -w*t - 2 = -0*t. Let q = 1356\/7 - 194. Is t equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1863 is divided by 1840?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -3\/2, 1, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(10\/(-2))\/90?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let w be y*1\/(-1)*-3. Let k(m) = -m**3 - 3*m**2 - 2*m - 2. Calculate k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.2751+4.641\nAnswer: -7.6341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 72 + 4 + (-26 + 19 - 1)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*b**2 - 7*b**3 - 16 + 4*b**5 - b**2 + 11*b**3 + 10*b**5 wrt b?\nAnswer: 840*b**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 6*(-2)\/3 - 11 - -2 - -39?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 to the power of 1\/2, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/5 (b) -1.9 (c) 2\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 61*l - 54. Let w be d(62). Put -5, 77, w in ascending order.\nAnswer: -5, w, 77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 895.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 536 - 536. Let d be (90\/(-44) + 2)\/(-1). Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*c*p**2 + 7*c*p - 3*c - 60830*p**2 + 460*p + 6 wrt p?\nAnswer: 14*c - 121660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - ((-12)\/42 - 10\/14). Solve p = g - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 862833 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 - 22*s + 62. What is x(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/1)\/((12\/(-3))\/4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*a = -537, -n - 153 = -2*n - 5*a. Let l be n\/22 + 4\/22. Solve q - 3*k + 9 = 0, 2*q - 3*k = -l - 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 divided by -3?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 911 or 2\/75?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -61225 divided by -13?\nAnswer: 61225\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (1 - 5) - -8 - (33 + -26)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 146 and 1610599?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320509 = 49*v - 136024. What are the prime factors of v?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 642158 by 1111.\nAnswer: 578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12271 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 2400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 35*s**2 + 1776*s + 699. Let o(w) = -88*w**2 - 4440*w - 1748. Let t(z) = 12*g(z) + 5*o(z). Factor t(l).\nAnswer: -4*(l + 44)*(5*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of l**4\/4 - 7*l**3\/3 - l**2\/2 + 9*l + 2. Let d be n(7). Determine j so that 2 + j**2 - d - j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11020101 - 210200211?\nAnswer: -122110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*p**2 + 12578 - 12578.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2345 = -16*p + 23*p. Suppose 10*s + 45 = p. Calculate the remainder when s is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -634403*f**3 + 4890785*f**3 + 9*f**2 - 9*f**2.\nAnswer: 4256382*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -63122 (base 9) to base 10\nAnswer: -41654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 22 - 3 - 1914*d + 17 as g + h*d and give h.\nAnswer: -1914","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwuwuuuu. Give prob of picking 2 u.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -3*l + 2*h + 35, -40 = -5*l + 3*h for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -993*r**2 - 971*r**2 - 13*r + 9*r**3 - 3 + 1963*r**2 to a*r**3 + k*r + l*r**2 + n and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 16*o**2 + 480*o - 129. Is h(79) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 5*s**3 + 3*s**2 - 3*s + 8. Let z(k) = 11*k**3 + 6*k**2 - 6*k + 16. Let q(x) = -13*g(x) + 6*z(x). Let m = 3009 + -3004. Is q(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/16)\/(2*(-3)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/12)\/(2*(-3)\/12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 - 4*b**2 + 0*b**2 - 16*b**3.\nAnswer: -16*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/2 - 1289*r**2 + 961040*r - 160709328.\nAnswer: (r - 1172)**2*(r - 234)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -312899589 or -1?\nAnswer: -312899589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 + -103. Which is greater: -13\/8 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l - a = -25*l - 37, -57 = 3*l - 3*a. What is the thousands digit of (-245)\/(-2)*-130*l\/225?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 101*h**2 + 5*h + 82. Let y(u) = -225*u - 41 - 51*u**2 - 222*u + 444*u. Let g(a) = -3*m(a) - 5*y(a). What is the derivative of g(r) wrt r?\nAnswer: -96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 3*l**2. Let n be d(-3). Let z be 64\/(-12) - 1\/(-3). Let i = n - z. Calculate the highest common divisor of 25 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -65, -99, -133, -167?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**2\/10 + 40413*z\/5 + 2100124\/5 = 0 for z.\nAnswer: -80774, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucossusciicicusuuiuu. Give prob of picking 2 u.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1074 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 50 + 105 = 0. Let c = p - -75. Let q be (-14)\/(-63) - 392\/(-18). Calculate the greatest common divisor of c and q.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((344806\/147)\/11)\/((-6)\/(-28)). Let j = -52560869 - -9460777993\/180. Let a = j + i. Calculate the common denominator of a and 21\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142063548*0.3.\nAnswer: 42619064.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 > -30655123.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 186551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -5198, 58, 1 in ascending order.\nAnswer: -5198, 1, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 50. Suppose -28 = -u - 5*k, 2 = 5*u + k - s. Suppose u*a = 29 - 5. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(0*i + 3*i - 4*i) - 2*i - 2 + 2 + (2*i - 7*i + 3*i)*(-1 - 3 + 3).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 + 27*z**2 - 199 - z + 66 + 51.\nAnswer: 27*z**2 - z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -1761231\/11 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o - 2*k - 8, -3*o + 18 = -k. Let v = -7 + 10. Calculate the remainder when o is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*1 - (26 - 10). Let x be (-33)\/i + 2\/8. Let u be 9*(-3 + 6)\/x. Is u greater than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/3 (b) -5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 3, -8, 2, -10, 1384 in ascending order.\nAnswer: -13, -10, -8, 2, 3, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -44*m**2 + m. Let v(o) = -27947*o**2. Give j(v(g)).\nAnswer: -34365531596*g**4 - 27947*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 469?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rggp when four letters picked without replacement from {i: 2, p: 3, g: 3, r: 3, h: 3, c: 3}.\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 - 6*u**2 + 2*u + 21. Determine l(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 927?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1692799 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*h - 79 + 102, -4*i - 2 = 5*h. Solve -v + 3*t = 6, -12*v + i*v + 3 = -4*t for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 219 divided by -3886?\nAnswer: -219\/3886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h**2. Let d(s) be the second derivative of -7*s**4\/6 - 8*s. Give d(v(z)).\nAnswer: -56*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 285.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 13, 17, 23, 31, 41?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.8 + 1.2. Let k = 7.1 - t. Which is the closest to k? (a) 2\/7 (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*y - 104*y - 17 = 0 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466216, 466218, 466220, 466222, 466224?\nAnswer: 466226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p + 0*p = -21. What is the remainder when ((-22)\/p)\/((-6)\/(-585)*5) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13586069?\nAnswer: 7, 281, 6907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12595691?\nAnswer: 17, 740923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 257769802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 4 + 3 + sqrt(117).\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3575\/7 + 511. Which is the closest to -33? (a) z (b) 1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) - sqrt(91)*1*3)\/(-5*sqrt(175)).\nAnswer: 2*sqrt(13)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 130 - -2212?\nAnswer: 2342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4904 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 2*w + 1. Let v(z) = 3*z**2 - 27*z - 7. Give 4*a(f) + v(f).\nAnswer: -f**2 - 35*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**5\/9 + 28*u**4\/9 - 32*u**3\/3 - 1366*u**2\/9 - 2975*u\/9 - 578\/3 = 0. What is u?\nAnswer: -3, -2, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 4*w + 8, 5*w + 21 = -3*f + 8*w. What is the closest to 5 in -1, f, -2\/15, -1\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15881470 is divided by 576.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 114 + -110. Suppose 5*q = 2*l - 16, l - 3 = -2*q - b. Solve 5*p - l*p - 2 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856 + -24?\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -z - 0*z + 4*b, 4*z = 4*b + 8 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-1 + 1 + -3). Suppose -5*q - 4*a = -h*q, -5*q - 5*a = 0. Suppose -4*i = -q*i - 44. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.102 + 9.898. Which is the smallest value? (a) -1\/8 (b) -2\/5 (c) 0.5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 5*b - 1. Let v(w) = -43*w**2 + 7191*w - 3591*w - 3600*w. Give v(k(q)).\nAnswer: -1075*q**2 + 430*q - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9.1 + 9. Let j = 71 + -143\/2. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 7, -5, 37, 4 in decreasing order.\nAnswer: 37, 7, 4, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of i**6\/40 + 7*i**5\/60 - i**4\/8 + 8*i**2 - 1. Find the third derivative of s(q) wrt q.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:36 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6 - (17 - 3)) + 365.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 374 = 2*i, 4*i + 492 = 4*h + 1212. What is the common denominator of (-39)\/i*21\/108 and -93\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16340\/11 - -1487. What is the common denominator of g and (-618)\/(-45) + 16\/(-40)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 12*c**2 - 1 - 2.\nAnswer: -12*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -659\/10572?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 (base 14) in base 5?\nAnswer: 1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 35*x - 515. Calculate the lowest common multiple of h(-47) and (7\/(-2))\/((-1)\/22).\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 13) to base 12\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -21026*c + 105103. What is g(5)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(132\/(-8))*-3)\/16.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-654)\/(-1962))\/(8\/22*3\/(-18))?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = 12*w - 7*w. Solve -g = -5*x - 2, -4*g - 3 + 11 = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 12*i - 16. Give b(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 7 = -7. Solve -1 = -z + 4*f - f, i = 3*f + 3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35556, 132143, 293122, 518493, 808256?\nAnswer: 1162411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + y + 80. Suppose y = b - 84. Suppose -5*z + 92 = 3*h, 0 = 5*z - 4*h + 25 - b. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, k: 2, s: 2}. What is prob of picking 2 d?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**3 - 11*b**2 + b + 9. Let o be k(5). Let a = 11 + o. Suppose a = -4*x + 7*x - 189. What is the greatest common divisor of x and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 3*r. Suppose 2*o = -r*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: Simplify b**(-1\/16)\/(b**(-4\/13)*b) assuming b is positive.\nAnswer: b**(-157\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 10. Suppose x + 1 = -u. Let k(h) = -h**3 + 10*h**2 + 1. Let v be k(10). Which is the nearest to v? (a) -1\/6 (b) 3\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/580 and -61\/1798?\nAnswer: 17980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 times -17?\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7085638380437\/72135868 + 3\/10305124. Let j = w + 98036. Let i = j - -190. What is the nearest to i in -2, -1\/2, -6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-7)\/3 - 0)*15\/5. Is 45 a factor of 15084\/84 + (-3)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - 1. Let o = 9 - 15. Let u = o + 4. Which is the second smallest value? (a) u (b) 3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 68*q - 241. What is h(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 2 - 1)*(1 - 1 - 3)*(-3*k**2 - k**2 + 6*k**2).\nAnswer: 54*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2912 - (2 + (-6 - -8 - 7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 40 + 8)*(-2*v - v + 6*v).\nAnswer: -129*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 789 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 77, -2.61, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 7*z**2 - 11*z - 6. Let y be o(-6). Find the second derivative of -10 - 14*d**4 + y - d**4 + d + 16 wrt d.\nAnswer: -180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.06 - 1.94. What is the closest to 0 in 0.2, n, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 16*d + 16. Let k be h(9). Calculate the highest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 429287?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by -1?\nAnswer: -169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 4 - (13 + 0 + 55 + -119 + 80)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1500405338?\nAnswer: 2, 19, 39484351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + (-306)\/(-81)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 8*z + 63. Suppose 6*y - 9 = z. Suppose 879 = 4*t + y*u, -5*t + 1100 = 7*u - 2*u. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 1 - 1 - 2*l. Let s(t) = -4*t**2 + 3*t - 3. Let r(k) = k**2 - k + 1. Suppose 3*n - 4 = 5. Let d(v) = n*r(v) + s(v). Calculate g(d(o)).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at least as big as -479\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3 + sqrt(700)*1 + -2*(sqrt(700) + sqrt(700) + (-1 + sqrt(700) - sqrt(700))) + 3 + -6*((0 + sqrt(700) + sqrt(700) - sqrt(700)) + -5)*4)**2.\nAnswer: -65880*sqrt(7) + 525182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = -302. Let a = 5312 + -58379\/11. Calculate the common denominator of a and ((-6)\/12)\/((-6)\/j).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -2 - 38 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -11*g**3 - 2*g**2 + 2*g. What is o(-2)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3.2. Let n = 36\/11 + -83\/22. What is the second smallest value in o, n, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12002100020121 (base 3) to base 7.\nAnswer: -31656241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14.1, -4, -3\/5, -11, 79.\nAnswer: -14.1, -11, -4, -3\/5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 2 - 94*i**2 - 165*i**3 + 104*i**2 + 157*i**3 to r*i**3 + q*i + g*i**2 + v and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79897249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*3*2)\/(sqrt(847)*3) + 4 + -1.\nAnswer: 2*sqrt(13)\/11 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1749 is divided by 833.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10714893881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9378 - 2122 = -23*d. Let c = 1038 - d. What is the remainder when c is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siihbnbsib. Give prob of sequence snbs.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 38?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20544?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-52)\/(-390))\/(4\/210).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -0.4 (c) 0.04 (d) 0.3 (e) -23 (f) 32 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-10)\/l**(2\/29))\/(l**(2\/5))**(1\/6) assuming l is positive.\nAnswer: l**(-4409\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*n**3 - 45*n**3 - 123*n**2 - 9 - 98.\nAnswer: -67*n**3 - 123*n**2 - 107","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -80249304928 + -0.8?\nAnswer: -80249304928.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5248*g**4*h + 20729*g**2*h**2 + 665072659*h**2 with respect to g.\nAnswer: 20992*g**3*h + 41458*g*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2448*r**3*w**5 + 23*r**3*w**4 + 2*r**3*w**2 - 167*r**2*w + 75*r*w**2 wrt w.\nAnswer: -146880*r**3*w**2 + 552*r**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 133*v - 573. Does 81 divide c(-92)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22890 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = f + 3, f - 2*u - 2*u + 2 = 0. Let y = 6 + -3. Suppose 2*c = 2*j - 6, 0*j - f*j = -y*c - 7. Solve 0 = -2*b - j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*l + 6*b - 33, 0 = 5*b + 15. Let f(o) = 2*o**2 + 32*o + 13. Let n be f(l). Let k = n + 88. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 4*m + 1. Let k be s(-3). Let o(n) = n**3 + 6*n**2 + 5*n + 3. Let b be o(k). Solve 8 = t + b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3316\/3*i**2 - 1904\/3 + 640*i - 8\/3*i**4 + 308*i**3 = 0.\nAnswer: -2, 1\/2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**3 + 306*s**2 - 1565*s + 219. Calculate b(71).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j + 812 - 22. Let c = 85 + j. Calculate the smallest common multiple of c and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6884, 13957, 21244, 28745?\nAnswer: 36460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 371348685?\nAnswer: 3, 5, 23, 41, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2 - 25012062*i - 36009480.\nAnswer: -4*i - 25012062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40299089.\nAnswer: 107, 376627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k - 32*k - 3 = 0. Suppose -3*i + 3*m = 9, 2*i - 2*m + 7 = -m. Put k, i, -2 in descending order.\nAnswer: k, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290680.\nAnswer: 2, 5, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1196355 = -15745*g + 332009 - 410999 for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1187*q**3 + 1414*q**3 + 5*q**4 - 1163*q**3)*(-2*q - 4 + 4).\nAnswer: -10*q**5 + 1872*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89b3b (base 15) to base 5.\nAnswer: -103003111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 6.1. Let q = -68 + 67. Which is smaller: z or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/101480 and -157\/56640?\nAnswer: 2435520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-45)*(-18)\/(-8)*5\/(-10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q. Let w(r) = -r**2 - r - 447. Determine w(i(p)).\nAnswer: -9*p**2 - 3*p - 447","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 12*u + 16. Let a be y(-15). Suppose 5*b - a - 9 = 0. Let s = 9 - -4. Which is smaller: b or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**2 - 5*x + 5. Let c(p) = p**2. Let t(h) = 5*c(h) + g(h). Let u = 11 + -25. Let z = -9 - u. Determine t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -13 + 26 - 27.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3189 is divided by 290?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1)\/((-27)\/2031). Let r = 150 - m. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 5 - 2 - 58*f.\nAnswer: -58*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o - 6*o - 5*o - 7*o.\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1862324561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 50 = 2*a, 1248*v - 5*a + 34 = 1251*v for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*g + 5 + 15 = 0, 5*l + 4*g - 21 = 0. Sort l, 87, 1.\nAnswer: 1, l, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 + 9 - 37 - v + 4*v**3 - 5 in the form r*v**2 + g + x*v**3 + m*v and give g.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -81636 (base 9) to base 13\nAnswer: -1b5c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**3 - 1528*g**2 - 7540*g = 0 for g.\nAnswer: -377, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2054, -4151, -6306, -8549, -10910?\nAnswer: -13419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 24*j + 1447. Let r be t(-59). Solve 45*h = 14*h - r for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236*v**3 - 3 + v**2 - 2 - 1 + 0*v**4 + 237*v**3 - 3*v**4 to the form b + g*v**2 + y*v**3 + q*v**4 + s*v and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -8. Let o = v - -3. Suppose -z + 4 + o = 0. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 17. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, r: 8}. What is prob of sequence rryr?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -7204 divided by -4876\nAnswer: 1801\/1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 8*g**2 + 26*g + 153. Let q(r) = -5*r**2 - 24*r - 154. Let c(k) = 2*d(k) + 3*q(k). Factor c(u).\nAnswer: (u - 26)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21.6749 + -21.72. What is l rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 2516729?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 88*o**2 + 12*o - 3. Is b(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6, o = -24*x + 23*x + 22578. Is 132 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/22842 and 49\/27918?\nAnswer: 251262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 2*i + 0*i - 4*i. Suppose -5*b - 5*v + 200 = 0, -2*v - 3*v - 59 = -2*b. Let c(w) = 4*w**2 + b - 37. Determine c(h(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-9)\/3 - -2. Suppose -8*c + q*c + 40 = 0. Let d be 2\/c - (-9)\/5. Solve -j - 7 = t, -9 = -t + d*j + j for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, o: 3}. Give prob of picking 2 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (9\/(-15))\/((-33)\/1870) is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 810.9007 years?\nAnswer: 8.109007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/1)\/((-22)\/(-10) - 0). Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/24*3)\/((-6)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 12*r + 21 = 11*r, q + 4 = r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*q**3 + 69*q**3 - 176*q**3.\nAnswer: -362*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 302 + 108. Does 13 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26607 divided by -1\nAnswer: 26607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1696056?\nAnswer: 2, 3, 17, 4157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 441084000 to the nearest one million.\nAnswer: 441000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80427.99mm to meters.\nAnswer: 80.42799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 224\/119 - 4\/(-34). What are the prime factors of (-3)\/r*-10 - 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.3372744 plus 0.08637?\nAnswer: 36.4236444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1671.99 + 1672. Put -5, r, 5 in increasing order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -240721\/16 + 15050. Suppose u = 2*j + 8, 5*u - j - 29 = -2*j. Find the common denominator of (-3)\/u + (-134)\/40 and q.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -130409 divided by 75\nAnswer: -130409\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1301515 is divided by 380?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 184 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 = -2*x. Let h = -4123 - -4120. Let q = -13 + 18. Sort 0, h, x, q.\nAnswer: x, h, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (((-243)\/(-8))\/(-9) + 3). Which is the nearest to l? (a) 0.3 (b) 0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 788 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = i - 29*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 93258.2 times 0.2?\nAnswer: 18651.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478893 is divided by 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 4. Let z be g(2). Let y be (-3)\/(z*(-1)\/2). Suppose y*w - 4*f - 1 = 0, w + 8*f = 4*f - 21. Put -1, w, 4 in descending order.\nAnswer: 4, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 170*((-8)\/(-14) + (-114)\/(-266)) and 20.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66600 + -111600. Round b to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*u + 147*u + 6*u - 146*u.\nAnswer: 235*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rw when two letters picked without replacement from {a: 2, j: 2, w: 4, r: 1, i: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a + 42. Let b(k) = 2*k - 70. Let l(q) = 3*b(q) + 5*z(q). Let n = 9 + -7. Let i(w) = -w - 6*w + n*w. Give i(l(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 322 > 323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 d when three letters picked without replacement from {k: 6, d: 2, l: 10}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 - 15 = 0. Let t = 48.26 + 0.74. Let p = t - 43. Which is the second biggest value? (a) p (b) y (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0*m**2 - m + m**2 + 8*m**3 - 9*m**3 + 1. Determine p(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/3)\/q**(1\/6))\/((q**(-1\/2)\/q)\/((q\/q**(-3\/4))\/q)) assuming q is positive.\nAnswer: q**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*29\/(-3) - 2. Suppose -33*g + 30*g - r = 0. Let b(z) = -z**3 - 8*z**2 + 5*z + 1. Is b(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 775, 0 in decreasing order.\nAnswer: 775, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, c: 2, b: 1, d: 1, r: 1}. Give prob of sequence br.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 6*k - 4. Let b be j(4). Suppose -4*x + 35 + 53 = 0. Let t = b + x. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36306136 divided by 4.\nAnswer: 9076534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i + 0*i)*(-i - 4*i + 2*i) + i**2 - 3 + 3 + (470*i + 92 - 92)*(-i + 3*i - 3*i) - 2*i**2 + 2*i**2 - i**2.\nAnswer: -464*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 3*u - 49, 765*y = -1043*u + 1038*u + 770*y - 105 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 + 0 - 305*z**2 - 362*z**2 to c*z + m + p*z**2 and give p.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + i - 4. Suppose 3*s + i*s - 115 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*x + 1112 + 500. Which is bigger: x or 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 1. Let b = 246 - 252. Sort b, 3, w in ascending order.\nAnswer: b, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3282042695 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 705543343*a*o**3 - 2084*a*o**2 + 2*a*o - 1217*a - 8 wrt o.\nAnswer: 4233260058*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*t + 8 = 0, -35*z + 3*t - 13 = -34*z. Solve -676 = -z*o - 682 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 l when three letters picked without replacement from {v: 4, l: 2, d: 7}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 25.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3870630748 to three decimal places.\nAnswer: 0.387","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 18*p - 46 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -19*j - 105. Calculate the least common multiple of 3916 and f(-7).\nAnswer: 27412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9\/14)\/(48\/28) and -1 + 4 - ((-3855)\/1028 - (-103)\/18)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -7) + (-4)\/4. Solve -3 = -3*q + w - 1, -v*w = 4*q + 6 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 11932051.95ms?\nAnswer: 0.019728921875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 14 - 6 + c**3.\nAnswer: -2*c**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 + 17 + 4*p)*(37 - 13 + 11*p - 20) to the form i*p**2 + w*p + q and give i.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4595 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 + 2921*x**2\/4 - 732*x - 4383.\nAnswer: (x - 3)*(x + 2)*(x + 2922)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, r: 4, c: 4, j: 1, o: 3}. What is prob of picking 1 n, 2 c, and 1 r?\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -474 - -822. List the prime factors of v.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/29)\/((d*d*d**(-10)*d)\/d))**(5\/12))**2 assuming d is positive.\nAnswer: d**(195\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.32 + 3.68. Let o = 4 - 2. Let u = m + o. Are -0.1 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*x - j - 77, 0 = 2*j. What is the least common multiple of x and 110?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12792442 and 2054?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -408*g**7\/35 + 61*g**3\/2 + g**2 - 541. Differentiate f(w) with respect to w.\nAnswer: -9792*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.4339 times -3?\nAnswer: -31.3017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166889 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50 + 3*s + 8 - 86 + 138.\nAnswer: 3*s + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/(-40)*15\/(-9). Which is bigger: 2\/125 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by 34.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 2241.035231 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40245 + 58514. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/4*(-3)\/((-3)\/2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 78\/(-4)*((-4761)\/1495 - -3). Suppose 16\/5 + b*k**4 + 94\/5*k**3 + 104\/5*k + 164\/5*k**2 = 0. Calculate k.\nAnswer: -2, -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a microgram in nanograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -19*r**2. Suppose 21 + 1 = v + 4*g, -5*v + 2*g = 0. Let a(s) = 14*s**2 - s**2 - 5*s**v - 5*s**2. Give a(b(f)).\nAnswer: 1083*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 29669144627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.13, 0.1, 5, -7?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19432780, -19432784, -19432790, -19432798, -19432808, -19432820, -19432834?\nAnswer: -19432850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 389424 by -5.\nAnswer: -389424\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -22*z. Let i(v) = 2*v**2 + 669*v + 2. What is i(o(d))?\nAnswer: 968*d**2 - 14718*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-16)\/12)\/((-12)\/(-14)) and ((-12)\/54)\/(44\/46 + -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4)\/(-26) - (6 - (-11634)\/(-936)) and 1\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = -8, 0 = -4*a - 4*u + 12. Let i(f) = -11*f - 1. Let h(j) = 7*j + 1. Give a*i(n) + 8*h(n).\nAnswer: n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*o + 405*o**3 - 5*o**2 + 10*o + 2*o - 17*o.\nAnswer: 405*o**3 - 5*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(567) + -4 + 5.\nAnswer: 1 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 101333928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5.27 * -0.2\nAnswer: 1.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-2)*(80\/(-18))\/((-16695)\/5724)\nAnswer: 64\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4071.\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 13, -11, 4 in ascending order.\nAnswer: -11, 3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1450418 + -0.031\nAnswer: 1450417.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 + 16*g**2 - 15454*g + 123703. Calculate b(8).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/(-560)*20*-21.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 556.1 to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 15\/406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*u**3 + 69 - 35 - 147*u**3 - 34.\nAnswer: -237*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22 in 0.2, -0.15, 0.4, 219?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 u when four letters picked without replacement from {u: 9, w: 5}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 36\/(-27) + 20\/6 + -1. What is the lowest common multiple of 44 and (-19 + 24)*(2 - 0 - p)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 12:37 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -415 + 441 - (-7 + 6 + -29).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 + -22. Suppose -j*o + 3*w - 17 = 0, -4*o - 7 = -w + 1. Let s be (-40)\/138 - o\/3. Which is greater: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001079 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*t = -0*t - 61*t + 120. Put 0, t, 173, 2 in ascending order.\nAnswer: 0, 2, t, 173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, b: 4, i: 11}. Give prob of picking 3 i.\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*q**2\/3 - 844*q\/9 - 16\/9.\nAnswer: -2*(q + 4)*(105*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2)\/(f*f**(-5)))**(1\/78))**(1\/5) assuming f is positive.\nAnswer: f**(7\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (21\/(-6))\/(3 + (-5)\/2). Let m = -34 + a. Let i(q) = q - 88. Let f be i(48). Is m at least as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -16*k**2 + 401*k + 3. Let r be o(25). Solve 0 = 19*g - 23*g - r for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1080 = 7*a. Let b be a\/(-9)*6\/4. Suppose -3*o = -p - 4, 2*o + 5*p + b = -o. Solve o = 3*i + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3440*x - 6874. Determine v(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1014, -8129, -27460, -65115, -127202, -219829?\n\"Answer: -1018*p**3 + 11*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 5. Which is the nearest to 1? (a) 3\/4 (b) 0.2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160 times 12.0549?\nAnswer: -1928.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (-2*sqrt(121) + sqrt(121)))*1*5)\/(6*(sqrt(275)*-1 + sqrt(275)) + sqrt(275)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1762 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52386 is divided by 301.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935608 is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p - 1352 + 682 = -676 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (10 - 7) + (13 - 7) + 13?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 18*c - 4. Let s(b) = -11*b + 2. Let y(t) = -3*n(t) - 5*s(t). Let g(l) = -l**3 - 6*l**2 - 4*l + 8. Let r(m) = g(m) - y(m). Calculate r(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 - 17*q**2 - 2*q - 27. Let g(b) = 7*b**3 - 41*b**2 - 5*b - 53. What is 2*g(k) - 5*t(k)?\nAnswer: -k**3 + 3*k**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37666.\nAnswer: 2, 37, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16325 by -653.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*w**2 + 12*w**2 - 20*w**2)*(-2 + 2 - 1).\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 - 79*b**2 - 1541*b - 64. Calculate h(-35).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/22 and (-303)\/108*(4 - 2).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 274, 4, 1, -78, 12, 2 in descending order.\nAnswer: 274, 12, 4, 2, 1, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*q = -113*q + 5*b + 24, q + 3*b - 34 = 0. Solve 6*v + 8 = -q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9961939 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 3623*u + 31426*u + 12 - 12 in the form b + x*u and give x.\nAnswer: 35049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 9:17 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + y**2. Let p(q) = -q**3 + q**2. Let g = 102 - 108. What is g*w(x) + 5*p(x)?\nAnswer: x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**2 - 5 + 5 + (-2*v - 2 + 2)*(0*v - 4*v + 5*v) + (440*v + 5322 - 5322 + (-4*v + 3*v + 2*v)*(4 - 2 - 1) + 2 - 2 + 2*v + 4*v - v - 2*v)*(3*v + v - 6*v).\nAnswer: -884*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -10*u - 17. Let m be a(-6). Let h = m + -35. Calculate the remainder when h is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -131422 + 1?\nAnswer: -131421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 2120981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -105*r + 487. Let d(u) = 2*u + 10. Let w be d(-8). What is the tens digit of p(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/3550 and -83\/200.\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p + 5*v = 80, 0 = 2*p + 3*v - 55. Suppose 4*h = 5*h - p. What is the units digit of 48\/10 + 7\/h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7 + 3)*(-6)\/120 and -1\/142.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = b + 3*k - 27 + 36, 3 = -k for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -741, -1741, -3009, -4545?\nAnswer: -6349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -157 + f**2 + 476 - 2*f**2 - 165 - 155. Suppose -4*m + 5*b = 25, -m - 5*b - 1 = -b. Let h = m - -4. Let u(n) = n**2. What is h*r(a) - 3*u(a)?\nAnswer: -2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 298179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 + 11*c + 17. Let h be p(12). Let x(z) = -9*z**2 + 5*z**2 + h*z**2 - 2*z**2. Let w(u) = 4*u**2 - 13*u**2 - 3*u**2 + 2*u**2. Give x(w(q)).\nAnswer: -100*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10665 (base 8) in base 10?\nAnswer: 4533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*f**2 - 1 - 1 + 25*f**2 + (0*f + 2*f - f)*(-5*f + f + 5*f) to v + z*f**2 + u*f and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2 = 5*f - 0*f, 5*f + 15 = 0. Solve 19*m + 12 = h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 12. Let v = -2543\/198 + 549943\/45540. Let n = v + -3\/92. What is the closest to 1 in n, o, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 27 - 18 - 17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 567931376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 96408665653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) 4\/5 (c) -17 (d) -1\/9 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1110 and 169230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 824, 813, 790, 749, 684, 589, 458?\nAnswer: 285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(153) + 1) + 1)**2.\nAnswer: 180*sqrt(17) + 5533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/12069 and 115\/16092.\nAnswer: 48276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5\/4 of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a century in years?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -0.25, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8993*a - 9197*a - 10608 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 9 + 3. Let v(l) = l**2 + 92*l + 902. Let n be v(-11). Suppose -j*m = -4 - n. Calculate the least common multiple of m and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 73*j**2. Let b(i) be the second derivative of -i**3\/2 + 74*i. Give k(b(z)).\nAnswer: 657*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202 (base 3) in base 16?\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2231 = 2228?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 17370302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*l = 2, -4*l = 4*k - 16 - 24. What is the remainder when 15 is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 2156301 = 174*s. Is s a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.1 (b) 1 (c) -14.3 (d) -5.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -476*w - 13. Let c(t) = 495*t + 15. Give 5*c(q) + 6*i(q).\nAnswer: -381*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 1 (c) 0.0696 (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.04 + 17.1. Let g = i + -4.06. Let p be (2\/(-6))\/((-2)\/6). What is the closest to -1 in g, 0.2, p?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -94 + 93.704. What is z rounded to two dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 4*t**2 + 5*t - 1. Let w be v(-5). Let j(m) = 18*m**2 + m. Let p be j(w). Calculate the greatest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 1. Let y(o) = o**2 + o - 3. Let k(x) = -3*m(x) - y(x). Let i(f) = -f**2 + 6*f + 8. Let w be i(7). Calculate k(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -882488669 and 3?\nAnswer: 882488672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-228*c**4 + 450*c**4 - 209*c**4)*(6 - 17 + 13) + 2*c**4 + c**3 - 2*c**2 + 2*c**2.\nAnswer: 28*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*y - 366329 = -337559 for y.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1325996 and 110057668.\nAnswer: 110057668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.8 + 69.9. Let z = n + -64.16. Let w = -0.1 - 1.9. What is the nearest to w in -0.2, 4, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1001187, 127 in ascending order.\nAnswer: -1001187, -4, 127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187679 - 187656 + 4*v**3 + 375335.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*t - 0*t + 18, 0 = 5*u + 10. Suppose 0 = -t*b + 5*b - 7. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 7:59 PM?\nAnswer: 1:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 102 = 81*z - 70*t + 94*t + 198, 0 = 3*z - 4*t + 44 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 - 32*q - 119. Let g be n(-28). Let c = 162 - g. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2019*3.4\nAnswer: 6864.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 12 (b) 1.1 (c) -22 (d) -3748\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11999734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q. Suppose -2*i + 5*w + 40 = 3*i, -w + 4 = 2*i. Let p(u) = -6*u. Let m(s) = i*p(s) - 5*x(s). Let d(k) = -28*k**2. What is d(m(t))?\nAnswer: -448*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 214\/9 at least as big as 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 12 = -0*i. Let g be (-18)\/i + (-2)\/2. Find the second derivative of f**4 - f**4 + f**g + 2*f wrt f.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39194089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*i - 25 = -46*i. Let d be (-2 - 4)*50\/(-100). Which is the second smallest value? (a) i (b) -5.7 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**35*u)\/(u*(u*(u*u**(-2\/85)\/u)\/u)\/u*u))\/(u*u*u**(-2\/105))**29 assuming u is positive.\nAnswer: u**(-40027\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1131\/337 or -3?\nAnswer: -1131\/337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100000011101011110111?\nAnswer: 100000011101011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*r = 162*r - 32 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 155 - 157. Let x be (a\/(-6))\/(5\/15) - -1. Solve 0 = -x*s - 3*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 7 = 16*i. Let o(k) = -k + 4. Let x(s) = 3. Let d(g) = -1. Let l(a) = -2*d(a) - x(a). Calculate i*l(b) - o(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -50.1. Let m = -49.2 + y. What is the closest to -1 in 10, 2\/5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -3\/7, 0.014?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54149?\nAnswer: 173, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - 967565\nAnswer: -967564.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from {t: 2, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from aaheaeehexx.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2 = -3*o - 19, 2*o = 5*a - 21. Solve -6*v + m = -v + 28, -m = -a*v - 18 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(22 + -4)*-2. What is the closest to -3 in z, 4, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177480 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103121 is divided by 219?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/(-4))\/((-24)\/32). Let n be 2 - (0 + j - 1). Calculate the highest common divisor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37.3711+-0.11316\nAnswer: -37.48426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 9*f + 215. Let l be n(15). What is the highest common factor of l and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22311 - -2?\nAnswer: -22304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 16*o**2 + 149*o + 1942. What is j(-13)?\nAnswer: -502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 50279580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 34*i = 325. Suppose i*l = 14*l - 140. What are the prime factors of l?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1646 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, 19, 4 in increasing order.\nAnswer: -5, -2, 3, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 12*s - 8. Let u be f(11). Suppose 0 = v - 19 - u. What is the remainder when 107 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) 2\/3 (c) 28 (d) -0.2 (e) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (384\/(-704))\/((-27)\/66)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129.2 + 7384.8. Let l = 7583.06 - t. Let n = l - 68. What is n rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h - 4*h + 6*h)*((2*h**2 - 2*h**2 + 2*h**3)*(2*h - 3*h + 2*h) - 10 - 8*h**4 + 10).\nAnswer: -12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**3\/6 - 3*s**2 + s. Let x be u(7). Let v(l) = -l + 2*l + 0 - x. Give v(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13915 + 5785 + 6318)*(g - 3*g + 4*g) as u*g + z and give u.\nAnswer: -3624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65.24 + -66. Let b = f + 5.76. Let i = -13 - -12. What is the closest to i in 0, b, 5\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:21 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821 a factor of 12792525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) 9050 (c) 5\/4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -318046, -317828, -317610, -317392?\n\"Answer: 218*q - 318264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**5\/11 + 396*z**4 + 2357730*z**3\/11 + 208523328*z**2\/11 - 7904454840*z\/11 + 63475768800\/11 = 0 for z.\nAnswer: -206, 15, 1108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let g(a) = -5779335*a. Calculate g(o(r)).\nAnswer: -11558670*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17.0664 - 15.0664. Let q = 1.5 + -3. Let o = q + 1. Which is the third smallest value? (a) -3 (b) o (c) 0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 6 = 46. Let a be (-2)\/3*(-12)\/d. Let p = a - 1. Is p > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3889009 + -2286054. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -13*f**2 + 5*f + 7. Let b(v) = -7*v**2 + 3*v + 4. Let h(s) = 11*b(s) - 6*c(s). Let w be (-4)\/(-2 - (-6)\/2). Determine h(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.279 and 0.4?\nAnswer: 0.679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y + y)*(2 - 11 + 1)*(24 - 24 + 13*y)*(-3*y + 0*y + 2*y).\nAnswer: 208*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-83496)\/441)\/4 - (-50 - -2).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h - 20 + 20 + (0*h - h + 3*h)*(2 - 4 + 3))*(0 - h**3 + 0).\nAnswer: 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*n - 1478, -4923 - 925 = -4*t - 4*n. What is the remainder when t is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4 = 2*k. Suppose -n + 3*n = k. Let b(l) = 5*l**n - l**2 - 2*l**2. Let m(q) = q**2. Give m(b(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/((-36)\/9))\/1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 531579.\nAnswer: 3, 37, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -31.4 (b) -1\/5 (c) 2122 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*c + 4, u - c - 16 = -24 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 155 = 310364*c - 310386*c, c = p + 35 for p.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 28, 21, 14, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/196813620 and -143\/157450896.\nAnswer: 787254480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (-12 + 54) - (23 + (2 - 1)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 6*s = -z + 24, 0*z + 4*s = 17*z - 48 + 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.8417 kilometers in meters?\nAnswer: 45841.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1929784 is divided by 37.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103360 divided by -170.\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 33 + -17. Let b = 30 - g. What is the second derivative of -622*l**3 + b*l**4 + 622*l**3 + 21*l wrt l?\nAnswer: 168*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 2*a - 3 = 0, -7*d = -6*d + 52*a + 209 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 333*m. Let h(j) = -43*j. Give h(t(w)).\nAnswer: -14319*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -9*q + 1. Let o be i(-3). Let f(r) = r**3 + 12*r**2 + 12*r + 5. Let a = 8 + -17. Let x be f(a). What is the greatest common divisor of o and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27432 + 14577?\nAnswer: 44231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*w + 277, -3*w + 6*w = 4*s + 206. Suppose -w = 14*k - 378. Let r = 48 + -30. Calculate the least common multiple of r and k.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-5 + -5 + sqrt(7) + 1) + sqrt(49)\/(sqrt(7)*-2) + -1 + -3.\nAnswer: -7*sqrt(7)\/2 + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 801592344.\nAnswer: 2, 3, 7, 1590461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 39*l - 127*l**2 - 41*l + 76*l**2 + 42*l**2. Calculate x(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 363190 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 996*x - 2. Let i(t) = -t**2. Give v(i(d)).\nAnswer: -996*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -110, -3\/5, 6, 4, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 40*s\/9 - 8.\nAnswer: -2*(s - 18)*(s - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1 - (3 + -8)) + 4\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 923 - 25263 = -20*n. List the prime factors of n.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1\/8 - 0. Let r = 63\/2 - 32. What is the smallest value in k, r, 1\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -c**2*q + 1227*c**2*z - 71*c*q*z + 842*q**4 + 16*z wrt q.\nAnswer: -c**2 - 71*c*z + 3368*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 - 72. Let b = 46 + l. What is the biggest value in 0.3, 0.02, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**4 - 58*o**3*t**2 + 51*o**2*t - 2*o*t**2 + o wrt o?\nAnswer: -72*o - 348*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 1)\/((-210)\/(-4760)). Solve 0 = 21*q + w + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -46*l + 312. What is j(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -577 - -529. Let f be (1\/6)\/(3\/g*14). Which is the biggest value? (a) f (b) -2\/13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**4 - 2*o**3 + 204*o**2.\nAnswer: -72*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqf when three letters picked without replacement from {q: 5, f: 9}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/((1\/(-10))\/(-1)). Let z be (9\/(-5) - 25\/(-25))*-5. Suppose -z*q - 12 = 0, -2*b + l = -0*b + 2*q. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*g**3 - 2 + 5*g**2 - 19*g**2 - 3*g + 3*g**2 + 10*g**2 in the form r*g**3 + a + c*g + i*g**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80)*2)\/sqrt(10))\/((sqrt(4) - sqrt(16))*-2 + sqrt(4))*5 - -6*(3 + (0 + sqrt(200) + -1)**2).\nAnswer: -350*sqrt(2)\/3 + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 2:21 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 5 - 0) + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*(sqrt(6)\/sqrt(3) - sqrt(2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**37*s**(16\/3) assuming s is positive.\nAnswer: s**(127\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/30*2*50\/(-5)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + 31. What is the smallest common multiple of 4 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 9\/2056 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197396765?\nAnswer: 5, 29, 1361357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2231 + 2245. What is the remainder when 144 is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 7*x + 9. Let f be w(-5). Is f at most -6\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -7*w**5\/60 + 7*w**4\/24 - 11*w**3\/6 + 6*w**2. Let u be v(5). Let x = u + 284. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + 2*1*sqrt(119) + sqrt(119)))\/((sqrt(77) - 2*sqrt(77) - sqrt(77) - sqrt(77))\/sqrt(11)))**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -11 + 12*f - 20*f + 11*f + 39. Let v be l(0). Suppose 2*d = 4*d - v. Calculate the remainder when d is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1830 and -0.37?\nAnswer: -677.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (24 - 12) + 0 + -15 + 0?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18549151, 18549160, 18549181, 18549220, 18549283, 18549376, 18549505?\nAnswer: 18549676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) -0.05 (c) 0.0631\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -35*o**2 - 1470*o + 3. What is q(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 9*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1065273797 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 4*z - o + 15, 3*o + 35 = -4*z. Suppose -4*c + 24 = -r + 5*r, 3*c = 2*r - 2. Put r, 1, z in decreasing order.\nAnswer: r, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/15 (b) 4\/3 (c) -10 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*g + 11. Let s = 1298 + -1193. What is the remainder when s is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3\/2)\/(f*f**(-2)))**(2\/47)\/((f**(1\/2)*((f*(f*(f**2*f)\/f)\/f)\/f)\/f)\/(f**(-1\/2))**(15\/7)) assuming f is positive.\nAnswer: f**(-853\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 7 = h, 3*h - 3*l = -8*l - 5. Let w be (3 - (-4)\/(-2)) + 6. Suppose -h*m = -13 - w. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41.5? (a) -0.1 (b) -2\/29 (c) 1229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -102 at least as big as -102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*w - w = 5, 3*w + 20 = 4*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10*d = -1488. What is the fourth biggest value in -0.5, -4, d, 2\/15?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -6 - (9\/(-36) - 7089\/1260) and -52\/11?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 23*s + 3 - 19*s + 27*s. Suppose -6 - 6 = -3*q. Is n(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 700*b - 4893. Calculate o(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 3*c = -256. Calculate the highest common divisor of c and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**5 + 17668*d**4 + 16685152*d**3 - 6450091824*d**2.\nAnswer: 4*d**2*(d - 291)*(d + 2354)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-5)\/(-60))\/(2\/(-15)). Let f = j - -9\/8. Let s = 79\/4 + -69\/4. Which is the nearest to -2\/7? (a) f (b) -1\/2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-35))\/(1*-1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 - 3. Let m be x(3). Suppose -m = 4*q + 1. Does 3 divide (-4 - 0)*3\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 366*z - 1259 - 3732 = 12868 - 2487 for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3228 = -5*a, 2*n - a - 1612 = a. List the prime factors of n.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 1 + 1)*(8*f**2 - f**2 - 3*f**2 + (0*f**2 - 7*f**2 + 0*f**2)*(1 + 0 + 1)).\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 6:18 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1534*b**3*d**2 + b**3*d*w - 5*b**3 - 5*b**2*d**2*w - 3*b**2*d + 446*b*d**2*w wrt b?\nAnswer: -9204*d**2 + 6*d*w - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8 = 4*n, 4*f - 3*n = 13 - 0. Let h be (f\/(-6))\/((-14)\/63). Suppose -740 = h*o - 7*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - -27. Calculate the greatest common factor of g and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107 (base 12) in base 2?\nAnswer: -10010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p + 2*p)*(-2*p + 0*p + 0*p)*(-3 + 1 + 1) + 15*p**2 - 11*p**2 - 10*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857680114 + j**3 + 0*j**3 + 857680114.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4350 - -4?\nAnswer: 4354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 5:52 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-15)*v*v))\/v*v*v**(-24)*v)\/(v*(v\/(v\/(v\/(v\/(v*v\/v**(1\/2))))))\/v*v*v*v\/(v\/(v\/v**(2\/5)))) assuming v is positive.\nAnswer: v**(-141\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sshv when four letters picked without replacement from vshhhhuhvsvuvhu?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 584.4981mm in micrometers?\nAnswer: 584498.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1059328, -2118725, -3178106, -4237465, -5296796?\n\"Answer: h**3 + 2*h**2 - 1059410*h + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -16629, -16619, -16603, -16581, -16553?\n\"Answer: 3*n**2 + n - 16633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 11. Let r = b + -33. Let v = r - -184. Is v a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.1 + -5. Let z be (-200)\/5 + 47 + -11. Put -1\/4, z, 2\/3, s in increasing order.\nAnswer: z, -1\/4, s, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*k + 10*k - 357 = 0. What is the remainder when 337 is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1136, -2783, -4430?\n\"Answer: -1647*c + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3 - 6. Let q = -37707\/220 + 1854\/11. What is the common denominator of (99\/2)\/(6 + i) and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d - 17 - 11. Let z be 1 - (3 + -15)\/d. List the prime factors of -1 + (2\/z)\/(3\/(-63)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4330)\/2165*6\/5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1219*c**6 - 4*c**5 - 13*c**2 + 84 wrt c?\nAnswer: -146280*c**3 - 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 0, 88, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 249636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/88 and -95\/264.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -46\/37269 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 3, e: 3, t: 2, j: 2, l: 1}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78 - 66. Suppose 102 = s*o - 6. Let y = o + 53. Is 31 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - v**2 - v + 21. Let f be g(0). Suppose f = 3*a + 12. Solve a = -4*r + 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-11330)\/340)\/11 - (1 - 2) - -2?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 divided by -539.\nAnswer: -26\/539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/3? (a) 2.5 (b) -107 (c) -0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 91282024?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**5 - 50411*k**4 - 303*k**3 - 1250033*k**2 - 82 wrt k.\nAnswer: 120*k**2 - 1209864*k - 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411098 is divided by 1046.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -735983 - -228.\nAnswer: -735755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of 0 - 1\/6*f**3 + 36*f + 0*f**2. Let r(y) = 3*y + y - 3*y. Determine r(o(i)).\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-1242) + 2\/18.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(-6 + 3 + 4)*(-4*j + 93 - 93) + (-j - j + 0*j)*(0 - 3 + 1) + 3 - 3 - 2*j as x + t*j and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 61, 49, 29, 1, -35, -79, -131?\n\"Answer: -4*m**2 + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 1584?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*s + 27 = 0, -5*g + 3*s + 2 = 7. Suppose 0 = -g*i + 4, i = -5*n - 1517 + 194. Let t = n + 383. List the prime factors of t.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 8:18 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 131731 + -11559\nAnswer: 120172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, -1.7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -52632 divided by 13158\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -20*x - 13. Let s be 24\/(-9) + 2\/3. Let b be -4*s\/8 - 16. Is c(b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 41*i + 2. Let o be m(2). Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*c**2 - 40*c**3 - 421*c**2 + 842*c**2 - 262*c**3.\nAnswer: -302*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 183 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 868557.1 millilitres to litres.\nAnswer: 868.5571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4387 and 27552.\nAnswer: 2948064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -13130, -13125, -13110, -13079, -13026, -12945?\n\"Answer: b**3 - b**2 + b - 13131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 29*l + 35. Give k(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9175, -9198, -9223, -9250, -9279?\nAnswer: -9310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + b. Let h(z) = 5*z**2 + z - 6. Let w(v) = -h(v) - 2*m(v). Suppose w(s) = 0. Calculate s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 50*10\/(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551634 (base 11) in base 3?\nAnswer: -1122201220010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (3 + -6*(0 + sqrt(252)) - (1 + sqrt(252)*2 + sqrt(252) + 0)))**2.\nAnswer: 108*sqrt(7) + 20413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of u**4 + 94145*u**3 + 290832.\nAnswer: 4*u**3 + 282435*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 11*j + 87. Let u be s(-8). Let k be 0 - (5 + -5) - u*13. Are k and 13 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 5*t - 1001. Suppose -4*y + 513 = -t. 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 prob of sequence ss when two letters picked without replacement from ssqjqqqssq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:00 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 13. Let m be x(15). Suppose 5 - 33 = m*d. Is -15 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j - j + 188*j**2 - 170*j**2 as p*j**2 + z*j + r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -8. Let i be 21\/(-35) + 26\/b. Suppose s + 4*c = 4, 5*s = 4*s - i*c + 4. Sort -3, s, -1 in decreasing order.\nAnswer: s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4972717 - -0.99.\nAnswer: -4972716.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41, -2396, -6329, -11846, -18953, -27656, -37961, -49874?\n\"Answer: -r**3 - 783*r**2 + r + 742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1337\/1639 + 108\/149. Which is the nearest to 24? (a) -1\/7 (b) -1\/6 (c) 2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18805 + -18557. Solve 62*c - 31*c = -o for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223359 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7157*d = 5*q - 7153*d - 26, 3*d = 5*q - 33 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 1:02 AM?\nAnswer: 5:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-14)\/(-35) + (-22)\/5. Let l = 8 + f. Put l, 3, -2 in descending order.\nAnswer: l, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3160?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbpa. Give prob of picking 1 a and 1 b.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*c*r**3 - 3248096*c*r**2 + 10*c*r + 15*c + 44711*r - 1 wrt r.\nAnswer: 114*c*r - 6496192*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1822, -2975, -4178, -5431, -6734, -8087?\n\"Answer: -25*o**2 - 1078*o - 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 1194 = -4*j - 1430, 3*y = 5*j + 183 for y.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 27*i**2 + 97*i - 119. Determine r(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 6*o - 2. Let w be h(7). Suppose -4*z = w*r - 16 + 2, 2*r + 4 = 0. Is z a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 4:27 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**7\/1470 + m**6\/84 + 3*m**5\/35 + 9*m**4\/28 + 9*m**3\/14 + 22*m**2. Find i such that k(i) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 68 + 70 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03150243 times 2?\nAnswer: -0.06300486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338496 - 2*i + 207*i**2 - 338496.\nAnswer: 207*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 divided by -17.\nAnswer: 91\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-4098)\/30)\/((-3)\/(-15)*-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26293140 divided by -348\nAnswer: -75555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-17 + 16) - -21. Solve 2*l = 5*r + 6, -19*l - 12 = -23*l + g*r for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, v: 2, s: 2, p: 1, f: 1}. What is prob of picking 2 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3968557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73 - 32. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 914355 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b = -111*b - 319 + 37. Suppose -4*w + 39 = -4*f + 15, 0 = 3*f - 6. Suppose 5*q = -w - 17. Put q, 5, b, 4 in ascending order.\nAnswer: q, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 1. Let a(m) = -5*m + 2. Let t(w) = a(w) - 4*x(w). Let d = -2 - -11. What is the lowest common multiple of d and t(-5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by -11\nAnswer: 83\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:24 PM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84542 and 4756.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**2*w**2*z**2 - 65*m**2*w**2*z + 135*m*z**2 + 2*w**2*z wrt m?\nAnswer: -2*w**2*z**2 - 130*w**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**8\/840 - v**4\/4 - v**3\/2 + 3*v**2. Let r(l) be the first derivative of o(l). Differentiate r(m) wrt m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q**3 - 40*q**2 - 20 + 40*q**2.\nAnswer: -2*q**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 90052249 != 90052249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9835.45 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0) + (6 + 16 + -15 - (-19 - -12)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((0 + 1 + sqrt(891) + -2)**2 + ((sqrt(891) + -1)*3 - (2 + (0 + sqrt(891))**2 + sqrt(891)))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a9c + 20d?\nAnswer: -288e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of -m**6\/3060 + m**5\/255 - m**4\/68 + 20*m**3\/3 + 23*m. Let h(v) be the second derivative of n(v). Factor h(f).\nAnswer: -2*(f - 3)*(f - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 22. Let h be f(5). Let m be (45\/h + 3)*4. Let j(d) = d**2 + 2*d + 2. Determine j(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*n**4*p + 31*n**4 + 4*p - 542 wrt n.\nAnswer: -472*n**3*p + 124*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 (base 5) in base 11?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of 5*g**6\/6 + 2*g**5 - 15*g**4\/4 - 40*g**3\/3 - 10*g**2 + 15. Let b(x) = 0. What is x?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*(454 - (0 + 4)). Suppose k - 3*k = -3*y - r, 898 = 2*k - 2*y. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -1\/5 (c) 0.1 (d) 202\/7 (e) 3\/2 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(704\/110)*1\/(21\/(-6))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26713 is divided by 668?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jfeejejjccjf. Give prob of picking 2 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccoqqchochcqhhc. What is prob of picking 2 o, 1 h, and 1 q?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 26 = -4*n, 11 = 4*h + 3*n - 7. Let s(b) = -b - 23. Let l be s(-28). Suppose 4*r + r + 15 = l*f, -2*r = -3*f + h. Solve f*y = 2*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) - (-5*sqrt(128)*1)**2.\nAnswer: -3200 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -45, -67, -93, -123?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 - 10*g**2 + 11*g + 5. Suppose -32 + 11 = 2*d + s, s - 23 = 2*d. Let r be j(d). Find h such that -1 - h**2 + 5*h**4 - r - 9*h**2 + 11 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s**3 - 15*s**2 + 6*s + 1. Let c be b(-7). Calculate the greatest common factor of 161 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 60*b + 810. Let p(t) = 5*t - 4. Suppose -i = -5*n - 4*i + 10, -3*i + 5 = 4*n. Let v(s) = -5 + n - 3 + s + 2. What is b*v(a) + 4*p(a)?\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 396*o**6 - 1287*o**2 + 712. Find the second derivative of t(b) wrt b.\nAnswer: 47520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1776 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 14 = -3*p, 2*w + 2*w = p. Put p, 2, -12 in ascending order.\nAnswer: -12, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 842231 and 842225 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p**4 - 243*p**2 - 15*p**4 + 3*p**4 + 2*p**3 - p - 2 + 7*p**4 as d*p**3 + u*p + c*p**4 + x + l*p**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 20 = -a, -2*a - 2*d - 23 = -33. Let m(v) = 3*v - 4. Let p be m(3). Which is greater: a or p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5293?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-344)\/24 - -12)\/((5 - 1)\/(-12)). Solve 27*s + 40 = p*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2210.631m?\nAnswer: 2.210631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 4*p + 3*p + 2. Let g be h(-3). Let o = 4 - 9. Put g, 2, o in decreasing order.\nAnswer: 2, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5392298 or -5392299?\nAnswer: -5392299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3610*h**4*o - 1100*h**2*o + 9691381*o wrt h.\nAnswer: 14440*h**3*o - 2200*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/21 and 83\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from elleel. What is prob of sequence eel?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -15, 5*b - 51949 - 99301 = -a. List the prime factors of b.\nAnswer: 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*v - 70*v = 3360. Suppose 267*b - v*b + 15769 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1*10\/(-2). Suppose r*p = -5*z + 25, 4*p - 3*p - 4*z = 0. Let t = 5 - p. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04+-361042\nAnswer: -361041.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355456.\nAnswer: 2, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0 = 10. Let r = g - -7. Let h = 2 - r. Solve h = -q + 4, 2*s + 5*q = 6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 402*k**3*w**2 + 17365*k**3*z + k**3 - 5*k**2*w**2*z + 3*k*w**2 - 2*w with respect to z.\nAnswer: 17365*k**3 - 5*k**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 13*q**2. Let w(o) = 4452*o. What is w(x(m))?\nAnswer: 57876*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 17878*k - 89353. Determine s(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = -0, 3*b - 3*s = 51. Calculate the least common multiple of b and 106.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwb when three letters picked without replacement from {p: 2, m: 6, w: 2, i: 3, x: 2, b: 2}.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -487 divided by -36.\nAnswer: 487\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1546, 3047, 4466, 5761, 6890, 7811, 8482, 8861?\n\"Answer: -7*j**3 + j**2 + 1547*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -4\/3 (b) -2 (c) 7 (d) -15 (e) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 9*i**2 + 3*i - 2. Let o be (-2)\/(-3) + (-2)\/3. Suppose 5*t = -0*t + 3*n + 37, o = -n + 1. Is s(t) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*j = -13, 267*d - 271*d - 2*j - 22 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2. Let c be ((-2)\/6)\/(1\/(-81)). Let t be 4\/6 - (-171)\/c. Let m be (-10)\/4*1*2. Let k(v) = -3*v**2. Calculate m*k(h) + t*r(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2460 - 12563?\nAnswer: -15353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131323545 by -555.\nAnswer: 236619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 192\/(-288)*(-1)\/2*3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1128 or -2?\nAnswer: 1128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*12\/(-30)*(-2)\/14.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215758.92 rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.8424 grams in kilograms?\nAnswer: 0.0788424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-4)\/v)**(1\/20)*v**14\/(v**8*v) assuming v is positive.\nAnswer: v**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3279?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/4 - 9*v**3\/4 + 25*v**2\/4 - 27*v\/4 + 5\/2.\nAnswer: (v - 5)*(v - 2)*(v - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -2\/5 in increasing order.\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -22. Find the third derivative of 29*h**u + 3*h**5 - 17*h**2 + 2*h**6 - 2*h**2 wrt h.\nAnswer: 240*h**3 + 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 5*s - 113, 2*s = -4*g + 51 + 47. Calculate the smallest common multiple of g and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-31\/5))*h)**(-29) assuming h is positive.\nAnswer: h**(-1044\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*u = -3*x + 11, -u + 12 = 2*x. Let a(m) be the third derivative of -1\/660*m**6 + 0*m**3 + 0*m**4 + 0 + 1\/330*m**x - 3*m**2 + 0*m. Factor a(z).\nAnswer: -2*z**2*(z - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -799 divided by -1.\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -126262 and 0.5?\nAnswer: 126262.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y**2 + 2*y**2 - 3*y**2 + (-2 - 2*y + 2)*(5*y + y - y) + 1 - 1 - y**2)*(y - 7*y - 13*y) + y**2 - y**2 - y**3 to i + p*y**2 + a*y**3 + j*y and give a.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**3 + 163*p**2 + 107*p - 1951. Calculate l(82).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75100.49 centuries in months?\nAnswer: 90120588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (153\/12)\/((-6)\/(-56)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46807 or -514890\/11?\nAnswer: -46807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -941 (base 14) in base 12?\nAnswer: -1079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, h: 3}. Give prob of sequence hbhb.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-414)\/18400)\/((195\/(-40))\/(-1))?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18*s**2 + 55*s - 83. Calculate c(6).\nAnswer: -401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -123.7 - -123. What is the second biggest value in 5, g, -8?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 347163 divided by 115721\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**2 + 345*v + 48. Give g(50).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.4 take away 7.72461602?\nAnswer: -3.32461602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2*6\/3. Suppose -26 = -2*p - 0*p + z*h, -p + 1 = h. Find the second derivative of 2*y + 0*y**5 - 5*y**p + 4*y**5 wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289381220 + -2.1.\nAnswer: -289381222.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*l**4 + 3*l**4 + 2*l**4)*(3 - 5 + 3) - 1 + 1 - l**4 + 4*l**2 + l**4 - 4*l**2.\nAnswer: 14*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23299057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0756 and 0.2.\nAnswer: -0.01512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1372 + -0.1472. Which is the biggest value? (a) x (b) -0.3 (c) 2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 10*s. Let v(r) = 94*r + 16. Let w(x) = 72*x + 10. Let u(l) = 35*l + 5. Let z(j) = -7*u(j) + 3*w(j). Let o(m) = -5*v(m) - 16*z(m). Give d(o(i)).\nAnswer: -60*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 20*i + 158. Let b be n(6). Solve -b*q + 0 = 2*r + 4, 0 = q - 5*r + 8 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 - 4*y + 3. Let j be h(-5). Let q be 0 + j + 5 + 1. Suppose -144 = -q*v - 28. Is v a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 j, and 1 a when three letters picked without replacement from {y: 1, t: 5, j: 4, e: 1, d: 1, a: 1}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -75a7 (base 11) to base 15\nAnswer: -2e94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17809*h - 318276 = 10231*h for h.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4226?\nAnswer: 2, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17262, -14292, -9344, -2418, 6486, 17368, 30228?\n\"Answer: 989*f**2 + 3*f - 18254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 534704 > 534704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 - 4*j**4 + 0*j**4)*(j + 2*j - 5*j)*(-5 + 4 + 3).\nAnswer: 28*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93, 100, 107, 114, 121?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/1174 and -53\/11.\nAnswer: 12914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 11*y - 18950 - 18906 + 37712. Give w(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - j**2 + j + 8. Let k(m) = -m**2 - 6*m. Let u be k(-6). Let t be x(u). Suppose t*r - 12 = 4*r. Sort r, -2, 4.\nAnswer: -2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (80\/160)\/(1\/1578)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-5)*69\/(-828)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016 to 5 dps.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62653.\nAnswer: 62653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 7*y. Let x(d) be the first derivative of -d**2 + 8. What is a(x(p))?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*2\/24)\/((-11 - -4)\/((-2)\/(-38))).\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 10 + 86*n**2 - 147*n**2 - 17.\nAnswer: -61*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from fffbfrfrffbbr?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 0 + -1 - -4. Suppose -16 = i*a + r + 11, -45 = 5*a - r. Let b be (6\/4)\/(4\/a). Which is smaller: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k\/k**9*k*k)*k*k**5\/k)\/((k*k**(2\/15))\/k**(1\/3)))**10 assuming k is positive.\nAnswer: k**122","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -13936 to the nearest one hundred.\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 - 10. Let y = 8 - d. Solve y*c - 4 = 6*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-3 + 14 - -2) + (-20 - 55 - 2)\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (777\/3108)\/(0 + 10\/8). Which is the smallest value? (a) 248 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and 1255.8.\nAnswer: 1256.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 - -2500\/11. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.869 + -0.031. Suppose 0 = 5*m + 4*q - 2, 3*m = q - 5*q - 2. Let f = -167.77 + 168.17. What is the third smallest value in b, m, f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246164 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.846 - 0.054. Let o = -3.2 - f. Put 2\/7, o, -0.2 in ascending order.\nAnswer: o, -0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41b907 (base 13) in base 10?\nAnswer: 1539428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -2 + 2 + 38\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6298)\/(-72) + (-1)\/4. Let n = 87 - b. Let a = -2.5 + 2.1. What is the second smallest value in a, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(-13) + 20\/130. Let n(k) = -k**2 - k**3 + 21 + 0*k**2 + d. What is the remainder when n(0) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000104 to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17287, -34307, -51327?\nAnswer: -68347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -16592512 and -16592518 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*f + 957 + 995 - 1952.\nAnswer: 869*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 8 - 8 = 0. Sort -3, r, 3 in increasing order.\nAnswer: r, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -113.213896473955 and -0.4.\nAnswer: -113.613896473955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31559.22 - 31563. Which is bigger: -1.4 or c?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -474 + 443 + 0 + 18?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1990 times 2.03?\nAnswer: 4039.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z**3 + 6*z**2 + 7*z - 2. Let o = 295 + -294. Let h(d) = -d**3 + d**2. Calculate o*m(v) - 6*h(v).\nAnswer: -v**3 + 7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -5, -0.02, -3\/2, 205884?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6259548 and 3204.\nAnswer: 18778644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -39. Let i(z) = -z**2 - 6*z + 10. Let b be i(-8). Let o = b - q. Which is bigger: 0.4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 divided by -4?\nAnswer: -195\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7122 + 2?\nAnswer: -7120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.98 + -4.48. What is the third smallest value in -1\/3, -7\/4, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/25)\/z)\/z*z*z\/(z\/(z\/z**(-2\/23)))*(z**1)**(-35) assuming z is positive.\nAnswer: z**(-20121\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -18.4 (b) 2 (c) 1974\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -142*q**2 - 9941*q - 37569. Give d(-66).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1384 and 1.\nAnswer: 1385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/33*110\/25*(-3)\/(24\/(-10))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65 and 2140?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29573, -58962, -88363, -117782, -147225?\nAnswer: -176698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 274910503.\nAnswer: 1\/274910503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 281*m**2 - 5*m + 3. Let l be ((-3 - -2) + -3)*1\/(-2). Is u(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133*t**2 + 14 + 275*t**2 - 140*t**2 to the form c + a*t + j*t**2 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5306800 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -262561 (base 7) in base 9?\nAnswer: -74177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22518 - 22516. Solve 0 = 2*j - 3*w - 11 + z, 0 = 3*j - 5*w - 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(6 - 702\/135)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3970 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/28)\/(r**(8\/13)*r) assuming r is positive.\nAnswer: r**(-575\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 444207, 444206, 444205?\n\"Answer: -b + 444208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3876 - 0.6076. Which is the closest to 1? (a) 2\/17 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, 5 in increasing order.\nAnswer: -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 142849956 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 270 or -2325?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -316, 4.\nAnswer: -316, 4, 166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 19.5, 3474?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, j: 2, k: 5, u: 2}. What is prob of sequence nn?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -11330 (base 8) in base 12?\nAnswer: -2960","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 50410*a**2 - 116*a + 236*a - 120*a + 0)*(0 - 2*a + 0).\nAnswer: 100820*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 349*d + 3*d**4 - 397*d - 2*d**3 - 3*d**2 - 2 + 68*d to z*d + y*d**4 + q + m*d**2 + x*d**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 150289096 divided by 904\nAnswer: 166249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -5.\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) 0.1 (c) -0.1386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 14*o**2 + 48*o - 126. Let r be z(-23). Round r to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20 = -2*t. Suppose t*c + 1 = 13. Solve -13 = w - c*j, -2*w + 29 = 4*j + j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r - 11. Let s(l) = l + 5. Let b(a) = -a**3 + 4*a**2 + a + 1. Let o be b(4). Determine o*s(g) + 2*p(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36480140737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -dc7 (base 15) to base 5.\nAnswer: -44422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3062185 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*g + 39 = 0, 4*q - 1125 = g - 1148 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 6*o + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbp when three letters picked without replacement from bppp?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -204, -695, -1496, -2583, -3932, -5519, -7320, -9311?\n\"Answer: 4*a**3 - 179*a**2 + 18*a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the third derivative of -1\/96*j**4 + 0*j**3 + 0*j - j**2 + 0 + 1\/240*j**5. Factor w(h).\nAnswer: h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 5*p + 13. Determine v(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19\/2 - 0 - (-12)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -12. Calculate the lowest common multiple of 2 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.43 + 0.03. Let h = -12 - -17. Let v = 0.29 + 0.21. Which is the third biggest value? (a) h (b) q (c) v (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -795 by -265.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*y + 6, 0*y - x + 14 = 2*y. Suppose 14 = y*t + 4. What is the third derivative of -4*h**2 - 2*h**2 - h**t + 4*h**5 + h**2 wrt h?\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-453 - -543) + (-3 - (-2 - (29 - 4))).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*z - 61, 2*d + 3*d = -5*z + 20. Suppose -1309 = -z*q + 2*q. Suppose -3*k + 26 = -q. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-5)*-4*10. Let t(a) = 15*a + 13. Let c(s) = 17*s + 14. Let w(n) = 5*c(n) - 6*t(n). Is 16 a factor of w(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/15)\/(214\/(-642))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**5\/60 + d**4\/24 - d**3\/3 + 5*d**2. Let q(s) = 0. Calculate s.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 1:08 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -223741 times -4?\nAnswer: 894964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + sqrt(88)*-1*-2 + sqrt(88) + sqrt(88) + sqrt(88))\/(sqrt(8)*-1*1) + 4 - (-1*(sqrt(396) + 0) + 5)*-5)**2.\nAnswer: -2088*sqrt(11) + 15097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 3. Let v(s) = s**2 - 2*s - 3. Let g be v(-2). Suppose 0 = -g*q - 0*q + 10. Solve o*n = -q - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183, -173, -163, -153?\nAnswer: -143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31.82 - -27.82. Let w = 31\/24 + -5\/8. Let x = -0.2 + 0.3. What is the closest to w in h, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 12*r**2 - 2*r + 9. Calculate v(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7622 + 7617. Sort u, 0.1, 0.6 in ascending order.\nAnswer: u, 0.1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24750 - 24752. Sort 28, -227, o in descending order.\nAnswer: 28, o, -227","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/2448 and 25\/36?\nAnswer: 2448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5325)\/7455)\/((-5)\/119)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 135*j + 136. Let y be c(-44). What is the greatest common factor of 214 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -69, -83, -97, -111, -125?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 41230944.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83394 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2614238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/(-8))\/(2\/(-8)). Let c(k) = k + 9. Suppose -5*q + 120 = 35. Let l be c(q). Solve -i - v*a + l = 0, -4*a = -13 - 7 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 28688*p + 10987492. Determine r(-383).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.975 - -0.025. Let s = 7 - -18. Let n = s + -30. Which is the nearest to y? (a) -1 (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u. Let b(r) = -5*r**2 - 2*r - 3. Let n(h) = h**2 + 2. Let m(c) = b(c) + 2*n(c). Give -m(g) + 2*o(g).\nAnswer: 3*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p - 1. Suppose -7*y + 9 + 19 = 0. Suppose 7*u = y*r + 2*u - 6, 6 = 3*r - 3*u. Give a(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3\/j**(-8))\/(j**10*j**4\/j) assuming j is positive.\nAnswer: j**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 577.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 765 at most as big as 319?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -664*h + 21. Let v be a(28). Let c = 39086 + v. Suppose -2134 + c = 3*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**3 - 110233430*v**2 + 110233430*v**2.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -453*u**3*y**3 - u**3 + 16*y**3 - 5*y wrt u?\nAnswer: -1359*u**2*y**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2 - 8 = 0. Let j = r + -3. Suppose 90 = -j*s + 7*s. Calculate the greatest common divisor of 126 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*(352\/48 - 8). Is w not equal to -2\/1257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 3*x**2 + 4*x + 4. Suppose 2*c - 4 = 3*c. Let r be j(c). Solve r*m = -4 - 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96 (base 15) to base 11\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = -0*t + 4*c, -2*t + 6 = 3*c. Suppose t = 4*n - m + 1519995, 0 = -5*n - 2*m + 3*m - 1899995. Round n to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -4*h + 4. Let r(w) = -w + 1. Let b(j) = 3*a(j) - 16*r(j). Does 4 divide b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5634456?\nAnswer: 2, 3, 234769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - ((30 - 13) + 11 + -26)) + 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -282, -326, -428, -612, -902, -1322, -1896, -2648?\n\"Answer: -4*j**3 - 5*j**2 - j - 272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a + 10*a - 24*a - 16*a**2 + 12*a wrt a?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 64*a**3 + 2*a - 2 + 2*a**2 - 66*a**3 + 0*a = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2\/95, -2, -0.3.\nAnswer: -19, -2, -0.3, -2\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 0 + 7\/2*v**2 + 8*v - 1\/3*v**3. Let t(w) = -w**2 - 7*w. Let f be t(-6). Calculate i(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1140 divide 2349376815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**3 - 5*r**2 + 5*r. Suppose i = -4*b + 1, 4*b - 7*b = i. List the prime factors of n(i).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 4*j**2 - 49. Determine o(0).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2205 and 2835.\nAnswer: 19845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b**3 - 42270*b**2 - 84525*b - 42260 = 0. Calculate b.\nAnswer: -8452, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 17 + -6 + -6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 7:13 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2886*y**2. Let m(p) = 5*p + 167. Give m(a(c)).\nAnswer: 14430*c**2 + 167","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**4 + y**3 + y**2 - y + 2. Let v(q) = 2*q**4 + 2*q - 3. Suppose 35*c = 31*c + 8. Let b(o) = c*v(o) + 3*u(o). Factor b(a).\nAnswer: a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 x, and 1 g when three letters picked without replacement from lllllxllg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s - 5*s + 0*s - 56*s - 78 + 78 + (3 + 0 + 0)*(269 - 82*s - 269).\nAnswer: -304*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - -55. Suppose 2*l - 5 = -5*o + 40, -t = -3*l - 2*o. Calculate the least common multiple of l and 10*1*(-1776)\/(-740).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 2. Suppose 0 = 3*q + 3*l - 24, 3*q - 2*l = -0*l + 4. Suppose -4*o + 8*o = 20. Suppose -x + 3*c + 9 = 0, -x = -q*x + c - o. Determine n(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 h, 1 g, and 1 a when four letters picked without replacement from cmjaahccghaa.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 39*5\/(-105)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5319, -5320, -5323, -5328?\nAnswer: -5335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + 2*p)*(18*p - 10*p + 12*p).\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 - 5*f + 3. Let s(l) = 3*l**3 - 50*l**2 - 18*l + 19. Let m be s(17). Let w(c) = -c**2 + c - 1. Calculate m*w(h) + o(h).\nAnswer: -h**2 - 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103 - 78. Let k = i + -24.7. Which is the fourth biggest value? (a) 1 (b) k (c) 5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2. Let u(x) be the second derivative of 0 + 1\/3*x**3 - 3*x + 0*x**2. Give u(c(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2813.7072 to the nearest ten.\nAnswer: -2810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -0.395?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 398*v + 2*v**3 - 69*v**2 - 37*v**2 - 399*v to n*v + j*v**2 + x + k*v**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*n - 5*n. Suppose k = 3*o + 14, -4*k - 6 = 3*o - n. Let t(m) = 93*m - 1204. Let q be t(13). Solve k*d - q*d = -3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - s**3 + s**3)*(99*s - 2 - 175*s + 101*s).\nAnswer: 50*s**4 - 4*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 4*j + 14, -10*s + 15*s - 2*j = 27 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*d - 4*d. What is the hundreds digit of d\/(-14)*((-288)\/(-2) + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 8 = -s, -14*n - 3 = 3*s - 17*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 4. Suppose -k*j + 7*j = 0. Suppose j = 2*u - 4. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1749*b + 216 = -1773*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20469009 is divided by 3411500?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 339*f - 337*f - 3*v - 28, 4*v - 16 = 0. Solve -x + 2 = 175*q - 176*q, 4*x = f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2952.759 to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 171+-6.39887\nAnswer: 164.60113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*v + 10. Let z be 22\/12 + 1\/6. Suppose -2 = z*n + 3*i, 0 = -2*n + 3*i - 8*i - 6. What is the remainder when v is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750 a multiple of 125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 4*l + 3. Let k be b(2). Suppose k*g = 44 + 55. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2094*y - 1239*y - 5317 - 2395 = 1096*y for y.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -12*n**5 - 633*n**4 + 2139*n**3 - 2499*n**2 + 1173*n - 168 = 0.\nAnswer: -56, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2800464\/17 or 164734?\nAnswer: 164734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.667 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 4.482.\nAnswer: 4.522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 6*x**2 - 7. Suppose 114 = 49*b - 86 - 45. Give f(b).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 13. Suppose -v = -n, -t - t - 4*v = -16. Let o be (-12)\/(2\/t*-1). Calculate the greatest common factor of 72 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 51379931 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -667 = -5*g - 127. Let z be 273\/14 + (-2)\/(-4). Let y = 32 - z. Calculate the highest common factor of y and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 - 584*g**3 + 27988*g**2 - 420240*g - 957168.\nAnswer: 4*(g - 51)**2*(g - 46)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xo when two letters picked without replacement from ahhxhahooxx.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 21*j**2 - 130 + 20*j**2.\nAnswer: -j**2 - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -4*y**5 + 2744*y**4 - 469560*y**3 + 1783120*y**2 + 8677564*y + 6422136 = 0.\nAnswer: -2, -1, 7, 301, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -5. What is the remainder when 51 + n\/(-3) - 1 is divided by ((-34)\/4)\/((-7)\/14)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 12*v**2 - 190*v - 36. Let m = 1143 + -1127. Give t(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.04 in 0.4, 1\/3, 3\/4, -5, -0.083?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -93.9*2\nAnswer: -187.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*j**2 + 52*j**2 + 57*j**2 - 12*j**3 - 189*j**2 + 3*j as a*j**2 + n + y*j**3 + f*j and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -851*y - 443. Let h(w) = -3*w. Calculate h(v(j)).\nAnswer: 2553*j + 1329","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190439 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of 0*i - 5\/6*i**3 + 0 + 1\/8*i**4 + 6*i**2. What is v(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20539*l**4 + l**3 + 33845 - 4*l + 3*l + 33854 - 67699 to p*l + q*l**3 + z + w*l**2 + b*l**4 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o - 82 = -17*o. Let l = o + -35. Let d(v) = -v**3 + 6*v**2 + 7. Give d(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*t + 58 - 579 + 153 = 36*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/6 + (-4)\/(-8). Let y(u) = 5*u + 7. Suppose -15 = 12*m - 7*m. Let x(w) = -4*w - 6. Let p(j) = m*y(j) - 4*x(j). What is p(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:48 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23913287 to the nearest integer?\nAnswer: 4890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6870 and 7328?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 293*w = -5392652 + 1356026. Does 22 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qyyryyqqcq. What is prob of picking 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 4*p - 32 = -0*y, -2*y - p = -13. Suppose -y*b + 201 = -259. Let l = 99 + b. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/8699565 and -2\/814245?\nAnswer: 165291735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 152002\/(-8) + (-8)\/(-32). What is z rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 2. Let f = -707428\/5 + 141486. What is the third smallest value in c, f, -2\/29?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-80) - (-10 - (-1261)\/130)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mym when three letters picked without replacement from myymmy?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33391, -1, -5, 3, -15 in increasing order.\nAnswer: -33391, -15, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37226 + 37226.3. What is the closest to 0.4 in 5, c, -5, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 598 + -596. What is the third biggest value in c, 1\/2, 18?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612 and 1122?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -429*z + 2848213 - 2848213.\nAnswer: -429*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 2*w + 2. List the prime factors of l(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 5400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 829027 + -829022. Let g = 4 + -2. What is the nearest to -0.1 in p, 1\/5, g, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -32\/40061?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5445 - -5450. Let g(i) = -i**3 + 7*i**2 - 2*i - 2. Determine g(q).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 + u. Let f(w) = -3*w**3 + w**2. Let i(z) = -f(z) + 4*j(z). Let r be i(-3). Suppose 8*c = r*c. Solve c = p - 4*p - 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 155 = 4*z - 143, -12 = 5*z - 2*d for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**3 - 3*d**3 + d + 5 + d + 5*d**2 + 2*d. What is the tens digit of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 193282436*-3.\nAnswer: -579847308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 157275431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.07 - -0.07. Let o = 2582 + -2580. Which is the third biggest value? (a) 1\/4 (b) o (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228 and 1104?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pqqeqqpeeeeeqe. Give prob of sequence pee.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 492 and -12?\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3*r**2 - 13*n**3*t**2 - 7*n**2*r**2*t - 5*n*r**2*t**2 - 5*r**2*t**2 + 2*r**2*t + 13 wrt t.\nAnswer: -26*n**3 - 10*n*r**2 - 10*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 79 = -3*c, 1181*c + 33 = 3*j + 1180*c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*z - 44, 2*z - 29 - 3 = -2*h. Calculate the remainder when 148 is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.03 + 4.03. Suppose 7*m - 9 = 4*m. Let v be m\/2*(-2)\/(-3). What is the third smallest value in v, a, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -7*r + 1. Let b(i) = -15*i + 3. What is -3*b(a) + 7*m(a)?\nAnswer: -4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 36*g**2 - 22*g - 112. What are the prime factors of d(-7)?\nAnswer: 2, 3, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 18 = -0*c. Let w(s) = s + 2. Let x be w(-6). Let u = c + x. Solve u*z - 1 + 3 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*t + 88*t - 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 4*h = -25. Suppose h*w + 4*f - 225 = 2*f, f = 5*w - 210. Let u = 45 - w. Calculate the lowest common multiple of 14 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 3. Let y = f + 6. Solve n = -y*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 6. Suppose 22 = -v - 4*z, 3*v + 50*z - 55*z = 19. What is the units digit of (v - i - 2)*-1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cd when two letters picked without replacement from oyfodycyfuyyoyuyou?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9) + 12 + (-1963)\/117.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of v**5\/20 + v**4\/12 + v**3\/6 - 5*v**2\/2 + v. Let p = 0 - 0. Let o be a(p). Put 3, 0, o in increasing order.\nAnswer: o, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 62\/15 + (-16)\/120. Let q be (6\/(-8))\/((-8)\/32). What is the second derivative of 6*v - q*v**3 - 3*v + v - l*v**3 wrt v?\nAnswer: -42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 534357.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15202\/17 - -894. Let l(n) = n**2 - n - 1. Let g be l(-1). Is b greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 506 + -505.8. Let p = -0.06 + -0.1. Sort v, -1, p in descending order.\nAnswer: v, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccxcxcccxcxcccxc. What is prob of picking 3 c?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/22 in -3, 1\/2, -36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + sqrt(700))**2*3.\nAnswer: -60*sqrt(7) + 2099","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 1 = -q, -3*k = -4*q - 4*k - 4. Let m(s) = 20*s**2 - 19*s**2 + 1 - 2. Determine m(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-74)\/1 - 8\/(8 + -4). Let y = b - -22. Let m = 58 + y. Solve 2*d = 4*z + 4, -4*d + 2*d - 4*z = -m for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 2 + 2 + (3*v + 3*v - 7*v)*(864 - 864 + 9*v**2) + (v - v + 2*v)*(v + 2*v - v)*(2*v - v + v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 7*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(2*sqrt(12)*6) + 2 + ((sqrt(392)*2)\/sqrt(7))\/(3*sqrt(24)\/sqrt(3)))*5.\nAnswer: 15*sqrt(7)\/4 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3 - 6*h**2 - 44*h + 48 = 0. Calculate h.\nAnswer: -4, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 4*f + 135. Let n be 0 - (27537\/f + 2). Let h = n - 1015. Calculate the common denominator of h and 12\/7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8636*k**2*o**2 - 3*k**2*o - 3*k**2 + 8*k*o**2 + 1209*k + 13*o**2 + 104*o - 2 wrt o.\nAnswer: 17272*k**2 + 16*k + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**2\/r)\/(((r**(2\/7)\/r)\/r)\/r)*r**(1\/4)\/(r**(2\/3)*r)*(r**(-7)*r**7\/r*r)**(1\/9) assuming r is positive.\nAnswer: r**(193\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(204))\/(sqrt(588) + sqrt(588)*1).\nAnswer: 5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3)\/h)**(16\/7)*(h*h**(-6\/7))\/((h*h*h\/(h\/(h\/(h**15\/h*h*h))*h*h)*h)\/h) assuming h is positive.\nAnswer: h**(302\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*t = 2*h + 6275, 0 = -3*h - 5*t + 3796. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 196631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8472096 millilitres?\nAnswer: 0.0008472096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-226)\/1*17*(-130)\/4420.\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9769009*b**3 - 17523*b**2 + 2*b - 7 wrt b?\nAnswer: 58614054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4284\/48 + (-2)\/(8 + 0). Let o = z - 84. Solve -9 - 6 = -o*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 290 = 7*w, -707*w + 1413*w = 703*w - 6*o + 150 for w.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 768 is divided by 28.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.069 and 107.\nAnswer: 107.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {a: 3, i: 5, n: 4}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -127 bigger than -505\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*27\/(405\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.71 rounded to 1 dp?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 21. Suppose -3*x - 3*s = -6, -x + 4 + z = -4*s. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -11*r. Let b(j) = 4*j. Determine b(k(s)).\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 858 and 572?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 178575?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 42*i**3 + i**2 + i - 2. Let o be s(1). What is the highest common divisor of 14 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/269384000 and -101\/75500.\nAnswer: 269384000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10224 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n - 5. Suppose 2*u + 32 = -2*u. Let h be k(u). Suppose -4 = h*f - 1, 2*f + 32 = y. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1194 - -1193.98. Which is bigger: j or -2\/51?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 35*u - 11. Let r be p(-5). Let h = 1672\/9 + r. Find the common denominator of 76\/3 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/115? (a) 1\/57 (b) 1\/7 (c) -2.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36342 and 4038.\nAnswer: 36342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z = -23*z - 136. Calculate the remainder when 69 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 5:32 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14420 - -14442. Sort -4, -20, y in descending order.\nAnswer: y, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**2 - 130*a + 135 = 0.\nAnswer: -27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 u when three letters picked without replacement from ababbbzbaaubz.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of -5*n**4\/12 + n**3\/6 + 2*n**2. Let y be v(1). Let c = 0 - y. What is the least common multiple of 7 and c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(84\/(-35)) - (-2)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 9, d: 3}. What is prob of sequence gg?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4669886*u**2 + 2026479*u wrt u.\nAnswer: -9339772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 844?\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -114, -124, -138, -156?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 21 (b) 89 (c) 2 (d) 0.131 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**3 + 0*f + 0*f)*(7*f**2 + 3*f**2 - f**2) + (3*f - 3*f - f**5)*(-1 - 1 + 1).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 5*l**2 - 43*l + 15. Give a(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -197 - -224. Calculate the highest common divisor of 108 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 10*a = -5*o - 3*a + 143, -3*a = 3 for o.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 56*t - 7*t**2 + t**3 - 54*t + 0*t**3 + 8. Let a(n) = -9*n - 101. Let y be a(-12). What is q(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7\/8 - -61\/88. Which is the closest to 0.1? (a) 3 (b) d (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 15, -1\/3, 50\/13 in ascending order.\nAnswer: -0.5, -1\/3, 50\/13, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 240.62103 rounded to 1 dp?\nAnswer: 240.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1897*x**2 - 2*x - 1154.\nAnswer: 3794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 18a?\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4910005846 rounded to 3 dps?\nAnswer: -0.491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oj when two letters picked without replacement from {j: 1, o: 2, s: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1281\/44 - -27\/44. Let s = 3195307 - 3770462563\/1180. Let u = 94\/59 - s. What is the common denominator of u and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31632.\nAnswer: 2, 3, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*a + 5*a + 11*a**2)*(0 + 0 - 3) + 3*a**2 + 1 - 1 - a**2 - 2 + 2)*(2*a - a + a)*(2 - 2 + 2).\nAnswer: -124*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 3*k**2 - 2*k + 1. Let b(y) = 2*y. Let i = 8 + -5. What is the least common multiple of b(i) and r(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10614, -10604, -10586, -10560, -10526?\nAnswer: -10484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112221 + -10?\nAnswer: -120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 554310170*v*y**2 - 383*y**2 + 96192*y with respect to v.\nAnswer: 554310170*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + r - 25 = 0, 0*r - 5 = f - 2*r. Let u = f + 9. What is the third biggest value in u, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/6 (b) 15 (c) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*n**2 - 205*n - 180 = 0. What is n?\nAnswer: -4\/5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-255)\/(-125))\/(22\/(-8) + 1971\/876).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6804009 not equal to -6803997?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 16*g**2 - 16*g + 26. Let y be t(-17). Solve -2*b = b + y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -861 - -496. What is s rounded to the nearest ten?\nAnswer: -370","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*t*w**2 - 5*t*w - 35*w**4 - 50*w wrt w.\nAnswer: -16*t - 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10665985259000 + -16.\nAnswer: 10665985258984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {o: 2, l: 16}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -491*a + 191. What is the ten thousands digit of h(-22)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.031 - 0.031. Let q = 251\/988 + -1\/247. Which is the third biggest value? (a) q (b) 4 (c) x (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -3572.\nAnswer: -21432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248, -341, -278, -59?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 33 - 4 - 30 + 12*g. Let f(h) = 17*h**2. Calculate r(f(j)).\nAnswer: 204*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31136\/2159 - -1030014953\/64770. Let m = w - 15891. What is the common denominator of (-4)\/6 - ((-3)\/(-16) + 1112518\/193248) and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 0*r + r**2 + 0*r. Let i(s) be the first derivative of -2*s**3\/3 + 5. Determine w(i(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 11.6347 and -17?\nAnswer: 28.6347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 7*i - 14. Let o be g(7). What is the common denominator of 43\/25 and o*((-15)\/(-11) - 1)?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432439008 to the power of 1\/4, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 + -39 + 75 + -47?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74 - -64.3. Let n = -8.7 - p. Which is the nearest to n? (a) 2\/13 (b) -4\/3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*z**2 + 22*z**4 - 36*z**2 + (0 + 0 - 2*z**2)*(-4*z**2 + 0*z**2 + 5*z**2).\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28128, -56247, -84366, -112485, -140604?\nAnswer: -168723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 672 and 20.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 8*l**2 + 34*l - 27. Determine b(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -44, -43, -30, 1, 56?\n\"Answer: a**3 - 6*a - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4566*x - x**3 - 3486*x - 1080*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r + 4*r + a + 41, -4*r - 44 = 4*a. Let u(w) be the first derivative of w**4\/4 + 10*w**3\/3 - 3*w**2\/2 - 14*w + 1612. Determine u(r).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*u**5 - 24*u**3 + 4928*u**2 + 9*u + 293940?\nAnswer: 520*u**3 - 144*u + 9856","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t**2 - 648*t + 8. Let c(s) = -2*s**2 - 431*s + 5. Give 8*c(u) - 5*j(u).\nAnswer: -u**2 - 208*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10031646607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 1, 3, 0, 56, -5 in increasing order.\nAnswer: -5, 0, 1, 3, 51, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*m**2 + 6095*m - 6095*m.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9460000 rounded to the nearest 100000?\nAnswer: 9500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -74, -620, -2124, -5066, -9926?\n\"Answer: -80*g**3 + g**2 + 11*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6353, 25397, 57131, 101549, 158645, 228413, 310847?\nAnswer: 405941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5 - 4 = 0. Suppose 10 = 4*d - 5*x, a*d + x + 1 + 1 = 0. Suppose 3 = s - d*s. Solve -22 - s = -5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -17959.\nAnswer: -17958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 + 76*h + 45. Let x(v) = 2*v**2 - 38*v - 22. Let d(b) = -2*w(b) - 5*x(b). What is the remainder when 59 is divided by d(-19)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v - 4*v + v + (0 + 3 - 4)*(v + 2*v - 2*v) - v + 2*v + v + 2 - v - 2)*(-15 + 46*v + 15)*(-9 + 2 + 1).\nAnswer: -276*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301458?\nAnswer: 2, 3, 47, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9, 1, -79, 2\/7, 3\/25?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -78199220069?\nAnswer: -78199220066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (158\/42 - 4)\/(-16*20\/(-256))?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 168281815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9197 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 330230.508.\nAnswer: 330234.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 10}. What is prob of sequence pppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 67 + 19 = 0. Suppose -z = -5*z + o. What is the third derivative of -2*i**2 + i**2 + 0*i**4 + 2*i**z wrt i?\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*a + 2. Let n(v) = -v - 1. Let o(h) = 16*h**3 + 5*h - 6. Let q(g) = a*o(g) + 5*n(g). Differentiate q(b) with respect to b.\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ymhvy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 938 - 938.046. What is the nearest to o in -0.5, -2, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22646 and 4355?\nAnswer: 113230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 55\/(-70) - -3*6\/63. Let m = 0.1 - 0.2. Let r = m + 0.12. Which is the closest to r? (a) -0.2 (b) j (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -6*n**2 + 4. Let y(o) = 7*o**2 - 3. Let t(q) = 5*w(q) + 4*y(q). Let k(x) be the first derivative of t(x). Let s(u) = -4*u**2. Determine k(s(f)).\nAnswer: 16*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*a = 13, 6 - 23 = -3*o - 4*a. Let g be 2\/(-3)*o\/8. What is the nearest to 2\/13 in 0.1, -5, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -167*w - 2. Give a(-1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 3:18 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1546 <= -1543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4211\/588 - 61\/49. Find the common denominator of k and 127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04 - 3.96. Let i be 6\/(-8) - (-62)\/72. Which is the third biggest value? (a) i (b) -3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*t + 8*t = 34, -3*j - 2*t + 1 = 0. Which is smaller: j or -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -14*g**2. Let h(l) be the second derivative of 0*l**2 + 73*l + 0*l**3 - 4\/3*l**4 - 1. Give u(h(y)).\nAnswer: -3584*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -8*k + 6. Let j(x) = -4*x**2 - 36*x - 25. Let r be j(-8). Suppose 0 = -5*q + 3*z + 3, -5*z + 33 = 2*q + r. Calculate o(q).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-146970)\/60)\/(-69))\/(-5*9\/18).\nAnswer: -71\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h + 260. Let d(r) = -52 + h + 2*r**2. Let y(i) be the third derivative of -i**5\/3 - 142*i**2. What is d(y(f))?\nAnswer: 800*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 431562 is divided by 207.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99323292.\nAnswer: 2, 3, 23, 43, 8369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 2*l**3\/3 - l**2\/2 - 2*l + 2. Let k be q(2). Let g be 0*2\/k + 4. Solve 5*u + 10 = -4*y, -12 = g*y - 0*u + 4*u for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*c + 4847 = 35195 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -o**2 + 2 - 71*o + 38*o**3 - 15*o**3 + 76*o to a*o**2 + y + r*o**3 + l*o and give r.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/(-2*10\/620)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3146 + 102661?\nAnswer: 106027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1733 (b) 4 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 66*o + 65. Calculate s(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = -0. Let i = -2848 + 2847. Let g = 3.6 - 5.5. Sort f, g, i, 0 in increasing order.\nAnswer: g, i, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 6 = 0, 4*k = 185*r - 181*r + 16. Which is the fourth smallest value? (a) -3 (b) -4 (c) 5.7 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4739297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9094879 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9096.0004 - -0.9996. Let m = -9092.60255 + w. Let r = 4.4 - m. What is r rounded to four decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q + 6. Suppose -2*n = q*n - 20. What is the units digit of n\/(-16) - (-29)\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3715\/411536 - -3\/1424. Which is the nearest to -1\/2? (a) -2\/17 (b) 0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8386346695*a**2 + a**3 + 8386346695*a**2.\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-20) + 64\/10. Let m(s) = 5*s - 19. Let k(t) = -11*t + 38. Let b(i) = 6*k(i) + 11*m(i). Let c(u) = -4*u + 6. Let o(n) = 3*b(n) - 8*c(n). Give o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:25 PM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 3, -1.752, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 + 15*m + 3. Let x(p) = -6*p**2 + 17*p + 4. Calculate -4*d(r) + 3*x(r).\nAnswer: 2*r**2 - 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1219\/13 - -94. Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 7*x + 10. Let w be z(7). Let v = -3 + w. Let m = 5397 + -5343. Calculate the remainder when m is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1698\/57731 or 1?\nAnswer: 1698\/57731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16209?\nAnswer: 3, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*m**3 + 9674420212*m - 9674420212*m.\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1800774 and 121852374.\nAnswer: 365557122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -537, -1071, -1605, -2139, -2673, -3207?\nAnswer: -3741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -g - 0*g. Suppose -1 = -2*a + 5. Let q = g - a. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.667451362 to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 1 = t - c, -2*t = -4*c - 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/4 - 137*r**3 - 10577*r**2\/4 - 4469*r\/2 + 5016 = 0. What is r?\nAnswer: -528, -19, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1066*s**2 - 10637*s - 246. Give c(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -443 (base 7) to base 10.\nAnswer: -227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 8:15 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 3850.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-15) + (-5)\/((-1125)\/95). Suppose 3*l = -5*n - 23, -3*l = 3*n + 24 - 9. Let m = -6.7 + 7. What is the closest to l in j, 3\/7, m?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 8*g + 2. Let f be r(8). Let k(s) = s**3 - 3*s**2 - 6*s - 5. Let n be k(5). Suppose -n = -f*d + 19. Is d a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 412 - 342. Calculate the lowest common multiple of n and 12.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n + 0*n - 3*n. Let m be c(-7). What is the tens digit of ((-12)\/(-7))\/(1\/m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15a26 + 0?\nAnswer: 15a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.24 + -0.83. Let j = -2.46 - q. Let n = j + 2.7. Which is the second biggest value? (a) n (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)\/m**8)\/(m**(1\/3)\/m)**50)\/((m\/m**(-5)*m**(2\/13))\/(m**(2\/7)*m*m*m)**(-39)) assuming m is positive.\nAnswer: m**(-30566\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of -63*g**5\/10 + 4*g**4 - 136*g**2. Find the second derivative of s(a) wrt a.\nAnswer: -756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2 - 13*x - 57. Let o be t(-7). Let w = 165 + o. Put -69, w, -3 in increasing order.\nAnswer: -69, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1222010002120 - -12?\nAnswer: -1222010002101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 4:02 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 49 = 3*t - 55, -4*u + 2 = t. Solve -42 = t*g - 44*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.99 - 2.49. What is the closest to -1 in -2\/5, a, -0.19?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.77215 from 7368.\nAnswer: 7368.77215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5*-5*4\/(-100).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 3*c + 262. Is 11 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96990300 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = -3. Let y = 5 + j. Suppose r - 2*r + 13 = y*f, 0 = 3*r - 3. Solve -i = f*i - 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 202*j. Let x be i(-1). Let v = 302 + x. What is the second derivative of v - 5*g**5 - 100 - g wrt g?\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence up when two letters picked without replacement from ffllqlfplfuflfu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-1))\/(-12)*68\/(-14)*-7?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75370337*z**4 + 133668594 with respect to z.\nAnswer: 301481348*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1003248 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1692, 3379, 5064, 6747, 8428, 10107, 11784?\nAnswer: 13459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 11:28 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3190 and 556336?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-21)\/(-9) + 2\/3. Let v(y) = -y**3 - 2*y + 4*y**3 + 2 + 3*y**2 - 4*y**3 + 0*y**w. Determine v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 27\/2 of a decade?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-164)\/6)\/(42\/315). Let o = h + 291. Calculate the remainder when o is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 424913 or 424919?\nAnswer: 424913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5134 - 5139. Which is the second biggest value? (a) -3 (b) i (c) 57 (d) 2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13.611 * -0.4.\nAnswer: 5.4444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10155?\nAnswer: 3, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 5503734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 + 9*d + 1. What is i(-5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - 1.8. Let s = 2.5 + j. Let y(l) = l**2 + 2*l - 4. Let w be y(-3). Sort s, w, 0.1 in decreasing order.\nAnswer: s, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w**2 + 122*w + 108. What is the thousands digit of c(23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-7)\/(-315))\/(((-24)\/36)\/((-20)\/(-78))).\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -51. Suppose 4*f - 11 = -t + 6, 0 = 5*t + x. Solve 3 = u + 2*z, -3*z - f = 5*u - 20 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -23*j**3 + 3*j**2 + 11*j + 14. Is r(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 47.435\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -745909.246 rounded to the nearest 1000?\nAnswer: -746000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-125)\/2)\/(28\/(-56)). Is (-4 - -4)\/3 + i a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -30, 32, 136, 282, 470, 700, 972?\n\"Answer: 21*w**2 - w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.7 (b) 30919\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -4*q**2 - 6*q + 6. Let u(n) = 9*n**2 + 13*n - 13. Let f(x) = 6*u(x) + 13*z(x). Let w(o) be the second derivative of 2*o**3\/3 - 18*o. Give f(w(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4346.\nAnswer: 2, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(80))*-4 - 6*(-1 + sqrt(80)))*2)**2*6.\nAnswer: 3840*sqrt(5) + 192096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1976b0 (base 16) in base 2?\nAnswer: -110010111011010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q - 2*q + 2*q + (11*q - 4*q + 10*q)*(-6 - 4 + 4))*(3*q**2 - q**2 + 0*q**2) as i + o*q**3 + g*q**2 + u*q and give o.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2c781 (base 13) to base 16\nAnswer: -14b26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 301212.686.\nAnswer: 301221.686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2465\/3? (a) 5\/4 (b) 3 (c) -3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1365 + -1371. What is the smallest value in f, -59, -0.4?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318025360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**3 - 9*g**2 + 116*g + 209. Is j(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*l - 5123 = -84*l - 487*l - 47633 for l.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**(-15)*m)\/m*m*m*m\/(m\/m**21))\/(((m\/m**15)\/m)\/m)**(-17\/5) assuming m is positive.\nAnswer: m**(-227\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) - (-2 + sqrt(300))*2 - sqrt(300)) + 1*-1*sqrt(300))**2 - (sqrt(300) + 5*(sqrt(300) + -2 + sqrt(300)))*-2.\nAnswer: -20*sqrt(3) + 2696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 8301770, 33207074, 74715914, 132828290?\n\"Answer: 8301768*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 9:08 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 6*r**3 - 11*r**2. Let m = -8 + 19. Let k(n) = n**2 + 2*n**2 + m*n**3 - 5*n**2 - 10*n**3. Calculate -2*i(l) + 11*k(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 21.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = 4*b - 76, 2*r + 3*b + 1391 - 1443 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 4*o - 2. Let t be (0 + 5)\/(0 - -1). Let j be b(t). Solve j*i = i + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98.698 - -99. Round m to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -468958*d**2 + 16*d - 20234088 wrt d.\nAnswer: -937916*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 18 (b) 0.2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -662*r + 663*r + 23, -5*l = -5*r + 10. Sort 0, r, -2, 3, -8 in decreasing order.\nAnswer: 3, 0, -2, r, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -58, 1 in decreasing order.\nAnswer: 1, -4, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*u**3*z**2 + 15141*u**3*z - 3*u**3 + 2*u**2*z - 104450*u*z**2 - 2*z wrt u.\nAnswer: 24*z**2 + 90846*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3020000 to the nearest 10000.\nAnswer: 3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 98626.42g in kilograms?\nAnswer: 98.62642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 10 = 0, -4*t = -11*n + 10*n - 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/228942 and -73\/693.\nAnswer: 2518362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.8 + 8. Let c be ((-2)\/(-5))\/((-2)\/(-10)). Suppose -3*j + 2 = -c*j. What is the smallest value in v, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 2.57354.\nAnswer: -2.27354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**0\/p)\/p)\/(p\/p**(1\/10))*(p*(p**(2\/51)*p)\/p)\/(p\/(p*p**(-7))) assuming p is positive.\nAnswer: p**(-4009\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1061\/3344 + -1\/209. Find the common denominator of (-2)\/9 + 1190\/6732 and i.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-80)\/(-6))\/((-18)\/(-27)). Suppose 3*i - y = 1. Solve p - i + 2 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 381 is divided by 67?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (1386\/(-45))\/7 - 18\/(-5). Solve -15*g + 16*g - 17 = -h*i, -4*i + 5 = 5*g for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92 - -93.3. Let b = 1.6 - a. Let n = 2.1 - 2. What is the smallest value in b, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 72, 126?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 381 (b) 1\/6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f - 8*f + 5*f)*(0*f + 0*f - 2*f)*(2*f**2 + f - f - 1) to the form q*f**2 + m*f**4 + r + n*f**3 + v*f and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/741*(-143702)\/(-641132)?\nAnswer: -2\/551","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 5*o - 4. Let j be d(6). Let t be 1*(j - 45*-3). Let n = 151 - t. What is the remainder when 54 is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:24 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.0542 millennia in years?\nAnswer: 276054.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (57 - -1573) + -1 + -7. Let c = z + -1112. What are the prime factors of c?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 110 and 24?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011772 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1803 - 1746. Solve n*o - 18 = 51*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 5*f + 110, 3*f - 23 = -y + 4*f. Let d(a) = 8*a**2 - 2*a - 4. Calculate the remainder when d(-3) is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1247\/(-58) + 22)*(-36)\/(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 29*c - 26*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.28 to 2 decimal places.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aatttttttttt. What is prob of sequence tata?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371722 and 88044.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((14 - 11) + 4 + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k**3 + 4*k**2 - k + 1. Let d(f) = -10*f**3 - 11*f**2 + 4*f - 2. Give 3*d(j) + 8*o(j).\nAnswer: 10*j**3 - j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7514 + -7506. Solve v*l + 0 - 40 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 19*i**2 - 33*i - 12. Determine f(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 + 37.1. Let p = 34 - l. Let n = 15 - 10. Which is the second biggest value? (a) -0.4 (b) p (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from quuiqquuupqppqquq. Give prob of picking 1 p and 1 i.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17675 - 53021\/3. Let 7\/3*v - v**5 + 8\/3*v**4 - l*v**3 - 2\/3 - 2*v**2 = 0. What is v?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100 (base 2) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p. Let d(s) = 449600*s + 1. What is d(w(t))?\nAnswer: 899200*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -557050 rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*g + 5*i - 12, 3*i = -12. Let s = -6 + g. Let v = -36 - s. What is v rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*u - 19, 3*q + 0*u + 29 = -5*u. Let t be ((-5)\/(-10))\/(q\/2 - -2). Calculate the greatest common factor of 2 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 291 = 37*b + 661 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + 3 + l + 7*l - 2. Calculate u(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 78*j - 1 - 388*j + 2 - 67*j + 0 in the form y*j + v and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**6\/180 - v**5\/60 - v**4\/6 + 11*v**3\/6 - 7*v**2. Let u(x) be the first derivative of s(x). Let u(i) = 0. Calculate i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13456393 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 20 = -5*v, 0 = 2*v + 3*v + 20. Solve h + h - 6 = o, 3*w + 2*h = -9 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1586140*i - 1586138*i - o + 11, -5*i + 2*o = 29 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14188780 is divided by 623.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2.8460559 * -0.2\nAnswer: -0.56921118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 - 339*h**3 + 31 + 341*h**3 + 6490*h - 2*h**4 - 6492*h as v*h**2 + u*h**3 + b + o*h**4 + g*h and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*p - 5*p + 10*p in the form j + k*p and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*n - 47*n + 2*c = 39, c - 12 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.49548595 to 1 dp.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*g - 424*g = 1143 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -164*c**2 - 3943*c - 105. Give g(-24).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 4*j + 2. Let g be m(0). Solve -g*u = -2*u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*sqrt(38))\/(-3*sqrt(98)) + -2.\nAnswer: -16*sqrt(19)\/21 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g - 42 + 18, 5*v - 8 = -21*g + 22*g for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 137801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o - 42 = 0. Let y be (-24)\/108 + 353\/9. Let r = y + o. Calculate the smallest common multiple of 14 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4 + 16*t**3 + 158*t**2 + 140*t.\nAnswer: -2*t*(t - 14)*(t + 1)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20670, -20670, -20678, -20700, -20742, -20810?\n\"Answer: -x**3 + 2*x**2 + x - 20672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/5 (b) 6\/13 (c) -0.36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000026064 to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 268*n**2 - 1124*n + 852.\nAnswer: 4*(n - 3)*(n - 1)*(n + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -26134 divided by 1?\nAnswer: -26134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1906304 is divided by 57.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 809 + -810.243. Let f = -7.2 - -7.143. Let s = f + o. What is s rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16886*n + 2 + 36128*n - 19447*n.\nAnswer: -205*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1014 and 4017?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215\/1869 - 862\/2225. Let v = -1\/75 + h. Is 0 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42265.01 decades to years.\nAnswer: 422650.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*r = -129*r - 24908. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*y + 10*y + 5*y**2)*(0 + 0 + 2*y) + (4*y**3 - 4*y**3 + 2*y**3)*(1 - 2 - 1) - 6*y**3 + 11*y**3 - 56*y**3.\nAnswer: -45*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -341.7 minus 6.32?\nAnswer: -348.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -21724\/5 equal to -4346?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 2\/5, -174, -5, 1, -1026?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*v - 54, 3*w + 18 = 3*v - 0. Let y = 15 - v. Solve 0 = -y*t + 2*t + 8 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 2404*d + 9606. What is i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(432) + 2 + 0 + sqrt(30)\/sqrt(10).\nAnswer: 2 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*w = 3*w - 38, -22 = -m - 5*w. What is the remainder when 20 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, p: 13}.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 7*a + 0*a - a - 3. What are the prime factors of c(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.2. Suppose 0 = n + 5, -3*t - 9 - 4 = 2*n. Let y be -2 - t - (-6)\/5. Put g, y, -3\/5 in ascending order.\nAnswer: -3\/5, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 7. Suppose -10 + 24 = i*o. Is 1545\/33 + o\/11 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1, -84, -4, -5, -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20) - -2*sqrt(20))\/sqrt(4) - 2*sqrt(245))**2 + sqrt(25)\/(sqrt(35)\/sqrt(343)).\nAnswer: 7*sqrt(5) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = o + 8, -y + 28 - 4 = 5*o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from gpoxgo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -11. Let s(k) be the second derivative of -k**4\/12 + k**3\/6 - k**2 - 2*k - 4. Let j(v) = v**2 - 2*v + 4. Determine x*j(m) + 5*s(m).\nAnswer: -2*m**2 - m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.32 - 0.42. Which is the third biggest value? (a) -4 (b) 2\/5 (c) -2\/7 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5422 - 5420. Let c(r) = -r - 3. Let o be c(-5). Suppose -n*p - 66 = d - o*d, 3*p = 3*d - 210. List the prime factors of d.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (4 + sqrt(147)*-3))**2 + sqrt(147).\nAnswer: -217*sqrt(3) + 2368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-24))\/((-31)\/(-31)))\/((-2)\/(-60)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28337922 or -28337924?\nAnswer: -28337924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3145 + 3144.8. Is o <= -269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3746632060?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-25 + (-1022)\/(-42))*-114 is divided by (-2 - -17)*2 + 1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 4*r**2 + 2*r - 1. Let d be c(-3). Let b be -2*3\/9*-6. What is the third derivative of f - f - 2*f**3 + b*f**d - f**2 wrt f?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -940 at least as big as -946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) -2\/49 (c) -2\/23 (d) -7\/8 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - (-2 - -3)) + -12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/(-50) + 25821\/10. What is the third derivative of 7*a**5 + 2582 + 135*a**2 - 31*a**5 + 3*a**6 - p wrt a?\nAnswer: 360*a**3 - 1440*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 11*x - 52 = 0. Let n(t) = 16*t**2 + 2*t + 1. Let f be n(-1). Which is bigger: x or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159 - 31. Is 33 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(((a*a**(4\/15)*a)\/a)\/a)*a*a**(-3\/8))\/(a*a**(-3\/13)\/a*a*a**(-3\/4)) assuming a is positive.\nAnswer: a**(2089\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119527 is divided by 19703?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -25061, 4 in descending order.\nAnswer: 4, -30, -25061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*r + 109*r + 370 = -8*j - 10*j, -5*r = 45*j + 955 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 190 + -189.5. Let u = m + -0.5. Let x = -7.96 - 0.04. Which is greater: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 6*u + 4*u + 3*u - 34563 = -4*u - 34556, 2*u = 10 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1057*p + 153 = 1040*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292 a factor of 890383773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -e3?\nAnswer: e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 0 - 34. Is (-2 + -1149)\/(n*(-2)\/20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -41*q**5\/2 - 9797*q**4\/2 + 5405*q**3 + 58788*q**2 - 2880*q = 0.\nAnswer: -240, -3, 0, 2\/41, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -21*r - 4. Let b(x) = 20*x + 3. Let p(n) = -3*b(n) - 2*c(n). Let m = 3 - 4. Let d be p(m). Calculate the highest common factor of 136 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 473 - 476 - 495 + 1409 in the form z + a*r and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*h + b, 5*h = 51*b - 50*b - 15 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/25 and 62\/3?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -1\/5, -8?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + -1 + sqrt(180))**2 + 0 + -2)*5*5.\nAnswer: -600*sqrt(5) + 17975","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(637)*1 + ((sqrt(637) - (sqrt(637) + sqrt(637) + sqrt(637)*1*-2))**2 - sqrt(637)).\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d. Let v(a) = -1530627*a. Calculate z(v(b)).\nAnswer: 6122508*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 158? (a) 4\/5 (b) -3 (c) 1\/10 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.5 or -3\/4?\nAnswer: -7.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4983 and 374.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 623658.0031 + -623686. Let g = -10 + -18. Let m = g - a. Round m to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 1 (c) 4 (d) 0.24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:46 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2502 + -2511. Which is the second biggest value? (a) -4 (b) 4 (c) j (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3221?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -143 = 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1216) + 2*sqrt(76) + sqrt(19) + -3 + (1 + sqrt(2299) - sqrt(2299)))**2.\nAnswer: 12*sqrt(19) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ad when two letters picked without replacement from daddaaaaadaaadaa?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19130 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6024?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.783 - 1.703. Let v(j) = -j - 1. Let u be v(0). Which is the nearest to 0? (a) u (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*2*-4)\/sqrt(8))**2 + -2 + (sqrt(17)*-2)**2*-1 + sqrt(17) + ((sqrt(119) - 2*sqrt(119)*2) + sqrt(119))\/(sqrt(21)\/sqrt(3)*6).\nAnswer: 2*sqrt(17)\/3 + 1307","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2 + 43*p - 32. What is u(17)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.42 + 1.42. Let m(n) = -n**3 - 6*n**2 - 3. Let w be m(-6). What is the closest to k in -4, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1723 = 5*f - 42. Suppose 2*h = 6, 2*w + f = 6*w - h. Suppose -243 = -2*b - w. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - (4*sqrt(130) + sqrt(130) - sqrt(130)))*-2 - sqrt(130) - (sqrt(130) + -6*-4*sqrt(130)))\/(sqrt(1000)*2*1*5).\nAnswer: -19*sqrt(13)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 5*x + 70, 283 = 10*m - x + 313 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*z**4 + 10*z**4 - 34*z**4 + (-12*z**2 - 8*z**2 - 2*z**2)*(-z + z + 2*z**2).\nAnswer: -103*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8b8bc (base 13) to base 6.\nAnswer: 5240402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -92342, -184686, -277030, -369374, -461718?\n\"Answer: -92344*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -23*v**8\/56 - 41*v**4\/12 - 24*v. What is the third derivative of a(i) wrt i?\nAnswer: -2760*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 385 = z - 401, 3*c - 10 = 5*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 137387*y - 434 - 69 - y**2 - y**4 - 137389*y as f + a*y + v*y**4 + u*y**3 + n*y**2 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -528514.35 and -4.\nAnswer: 2114057.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 l when four letters picked without replacement from {f: 3, r: 1, o: 4, l: 1, i: 10}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 - k**2 + 7*k**2 - 16*k**2.\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*g + g + g - 170 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1601226 divided by -11?\nAnswer: 145566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7.7 and 0.079?\nAnswer: 7.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35\/252857 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -12. Let n = -8.2 - b. Put 2\/13, n, -4 in increasing order.\nAnswer: -4, n, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -6799848?\nAnswer: 6799847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2112964829\/327 - 6461674. Let l = -2\/16307 + 81971\/3554926. Let p = n + l. Find the common denominator of p and 89\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1242?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 29.6. Let l be (-38)\/(-6) + (-6)\/(-9). Let w = 7 - l. Is w less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - c - 1. Let z = 153 + -150. Suppose -z*a - 4*j = j - 17, -4*j = 2*a - 14. What is k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 608 - -1?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 320, -0.3, 4, -1\/442?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**2\/2 + 1941*y + 3828055\/2 = 0.\nAnswer: -815, 4697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -406, 20, 5, -2\/3, 0, -3\/5 in ascending order.\nAnswer: -406, -2\/3, -3\/5, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16835471 (base 9) to base 7.\nAnswer: -131655145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 134926*o - 6364*o**2 + 138768*o - 3176*o**3 + 4*o**4 - 276878*o = 0. Calculate o.\nAnswer: -1, 0, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 14. Let f be t(7). Let k(c) = c**3 + 6*c**2 - 2*c - 8. Let h be k(f). Let d = 1 - h. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7601 + 1419 = -2*l, -20 = -4*l. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89631 or -89629?\nAnswer: -89631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5516453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 3603 = -3*o, -3*o + 0*o = -5*h + 8955. Is 26 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(11)*-2) - sqrt(190)\/(sqrt(100)\/sqrt(10)).\nAnswer: -3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -77*b - 1615. Let n be z(-21). Let f(v) be the second derivative of 0*v**3 + 0*v**n - 1\/4*v**4 + 0 - 11*v. Let t(i) = 5*i. Calculate f(t(o)).\nAnswer: -75*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 256?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -f**7\/630 - f**5\/40 + f**4\/24 + 4*f**2. Let d(j) be the second derivative of x(j). What is the derivative of d(n) wrt n?\nAnswer: -8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w + 5*w - w + 26*w - 40*w - 14*w + (0*w - 3*w + 5*w)*(2 - 2 - 2).\nAnswer: -31*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -4379 >= -4379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 3:45 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41\/9 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -0.704?\nAnswer: 1.004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7354503 and 1822?\nAnswer: 911","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 + -49. Let r = k - -18. Suppose 0 = -2*n - n - 12. What is the biggest value in -0.3, n, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2123.94 - 1869. Let c = -2.06 - r. Let z = c - -257.0000111. What is z rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-44)\/2849)\/(6\/(-21))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 - 52*p - 5. Is 3 a factor of m(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/10353 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/3 - 20\/(-4). Let t(f) = 2*f**2 - 12*f + 14. Is t(p) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 + -10. Suppose z = 5*k - 14. Let f(q) = 2*q + 2. What is the remainder when f(4) is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(13) + -4)**2 + (sqrt(117)\/sqrt(9)*2)**2.\nAnswer: -32*sqrt(13) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*n + 142*n = -4796 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2447 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.19 and 967.\nAnswer: 977.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -7*n**2 - 44*n - 34. Let s(c) = 20*c**2 + 128*c + 103. Determine -17*o(i) - 6*s(i).\nAnswer: -i**2 - 20*i - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-24)*(15552\/(-60))\/81.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -308 + 922\/3. Which is the nearest to 1\/4? (a) -0.01 (b) q (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94613617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 1848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-5) + (-1692)\/45. Let m = s + 20. What is the units digit of 1\/(52\/m + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2014397.\nAnswer: 7, 11, 26161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - -60.2408906?\nAnswer: 60.1408906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, q: 7, d: 2}. What is prob of picking 1 s, 1 d, and 1 q?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hmhmhhh.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -232665 (base 9) in base 11?\nAnswer: -96027","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -133, -120, -117, -130, -165?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 138\/(-20) + (5\/(-35))\/((-20)\/(-14))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.4? (a) -0.1 (b) 0 (c) -25433\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 3*s**2 + 5*s + 14. Let v be d(-2). Let r = 2 - -2. Solve v = 4*m + 2*h + 8, -1 + 5 = 4*m - r*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 4*t**2 - 4*t + 7. Let c be b(5). Let h be (-3 + 1)*(-1 - 1). Suppose h = 2*k - c. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 3*r**2 - 14*r - 7. Let g be (-40)\/(-3)*(-5 - (-6 - -4)). Let n = g - -34. Let s(w) = w**2 - 5*w - 2. Let h(m) = n*t(m) + 17*s(m). Determine h(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 390 - 390 + 6*l**2. Let b(a) = -a**2. Calculate n(b(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c - 28. Let m be x(2). Let y(u) = -3*u**3 - 12*u**2 + 3*u - 9. Is y(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52 - -634970.\nAnswer: 634918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 131 - 127. Solve -27 + 19 = p*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8476 + 7982 = -13*i. Which is greater: 28 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 1\/3*s**3 + 2*s**2 - 5*s - 1. Let d = -31452 - -31448. Determine t(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2 - 34*p - 60.\nAnswer: -2*(p + 2)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161 + 1015 = -98*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 317*z - 2. Let v(o) = -317*o + 2. Let g(i) = 5*u(i) + 6*v(i). Is g(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*m + 35*m + 40 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 695979373?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 12:54 PM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 9*z - 6*z - v, 12 = 3*v. Suppose -z*m = -9*m + 25. Solve 6*l - l - m = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u**2 + 4275*u - 8558*u + 4283*u.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 194062232 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let t = 2.99 + 0.01. Let y = -261\/4 + 66. Which is the third smallest value? (a) y (b) t (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -20\/37341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -38, -68.05?\nAnswer: -68.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 76 = 5*m, -b - m = m + 6. Let p(n) = 92*n. Let x(i) = 31*i. Let t(k) = p(k) - 3*x(k). Let h(w) = w**2 - 7*w + 1. Calculate b*t(z) + 2*h(z).\nAnswer: 2*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1.9. Let x = a - 0.2. Let h be ((-16)\/(-84))\/((-12)\/(-14)). What is the nearest to x in h, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 201045579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 120620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 230*n**2 + 531*n + 61066. What is g(-115)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1104 and 27089904?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2145 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.6 and -933.7654629.\nAnswer: -933.1654629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -6*j**2 + j - 4. Let u(o) be the third derivative of 1\/2*o**3 - 19*o**2 + 1\/12*o**5 + 0*o**4 + 0*o + 0. Determine -4*u(k) - 3*y(k).\nAnswer: -2*k**2 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1\/2, -2, -2\/9, -1 in decreasing order.\nAnswer: 25, 1\/2, -2\/9, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 z when four letters picked without replacement from {z: 2, l: 5}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143.89 - -143.22336. Round i to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 721, 739, 757, 775, 793, 811?\n\"Answer: 18*s + 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**5 - 68*q**4 - 320*q**3 - 336*q**2 = 0. What is q?\nAnswer: -2, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 at least 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*d*m**3 + 517*d*m**2 - 3*m**4 wrt m?\nAnswer: 222*d - 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -103231 (base 4) in base 11?\nAnswer: -a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8014813 is divided by 8014717?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 508373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 3*t**2 - t - 186. What is a(4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -k + c, -5*k + 81*c - 78*c = 92 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.1. Let g = -0.3 + w. Let d = -1155 - -1155.1. Which is the nearest to 0? (a) g (b) 2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 487915, 975839, 1463763, 1951687, 2439611, 2927535?\n\"Answer: 487924*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027*j + 1466*j - 1711*j.\nAnswer: 782*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4154.223 + -4169. What is d rounded to 1 decimal place?\nAnswer: -14.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2097, 4209, 6321, 8433, 10545, 12657?\nAnswer: 14769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -92 + 105. Let v(i) = 2*i - 3*i + 4*i + 6 + n. Determine v(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 3)*(-4*h + 4*h - 2*h)*(-2 + 1 + 0) + 60*h + 54*h - 61*h as g*h + z and give g.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 2*n + 3*w - 17, 4*w - 16 = -2*n. Let p(i) = -i**3 - 1. Let r be p(n). Let y(d) = 2*d - 14. Let b be y(r). Solve 2*c = 2 - b for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46068.\nAnswer: 2, 3, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u + u - 4*u)*(0*u - 3*u + 4*u)*(10831 - 10831 - 1068*u).\nAnswer: -5340*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 382*n - 9. Is p(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3286 by 41517.\nAnswer: -3286\/41517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -27\/61592 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15850294 to the nearest integer?\nAnswer: 3981","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -10521 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 + f - 4. What is k(4)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (200\/(-78) + 5 - 3). Let v = a - 10\/13. What is the closest to v in 1\/6, 0.12, 2\/9?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a + 5. Let l be k(-5). Let u = l + -11. Let s(n) = -n + 4 + 0*n - u. Let b(t) = -2*t. Give s(b(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w + 8. Suppose 4*k + 16 = -0. Let q be w\/4 + (-2)\/k. Solve -3*i - 3*u + q = 25, 0 = -2*u - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-2.67762\nAnswer: -0.803286","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (34386\/(-40))\/(6\/4). Let r = k + 572. Find the common denominator of r and 101\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**3 - 10444*c**2 + 816046*c = 0. Calculate c.\nAnswer: -5299, 0, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22656761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - -1 - (-74 + -112 + 207).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/3*(-747)\/(-6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 b when two letters picked without replacement from vwkbvme?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11806591343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aarr when four letters picked without replacement from {a: 13, r: 6}?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + p - 2. Let a(i) = -4*i**2 - i + 2. Let c(o) = -o**2. Let n(v) = -a(v) + 5*c(v). Determine -5*j(s) + 4*n(s).\nAnswer: s**2 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -37 + 37 - 81*t. What is the tens digit of d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32442718?\nAnswer: 2, 7, 11, 293, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/3))**(3\/29))**(-40\/9)\/((t**(-1)\/t**7)\/(t\/(t*t*t**0\/t))**(18\/13)) assuming t is positive.\nAnswer: t**(2048\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1331) + -3 + -5*(sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 4))))*4)**2.\nAnswer: 26752*sqrt(11) + 346512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5870 and -5.\nAnswer: 5865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*j - 38*j = 5*z + 2, -j = 3*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54 in -2\/11, 0, 47, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131474098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3959 * -20186.\nAnswer: -79916374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/198, -0.5, -1\/4?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + (-10)\/2 + 1. Suppose -15 = 5*p, -2*i + 5*p + 15 = -6. Put -0.3, i, t in decreasing order.\nAnswer: i, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 680747115?\nAnswer: 3, 5, 45383141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 8 = -2*f - s, -2*f = 2*s - 4. Solve -4*c + 0*k + k + 11 = 0, f*c = -5*k + 37 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4369240.\nAnswer: 2, 5, 19, 5749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 91924, 91933, 91942, 91951, 91960, 91969?\n\"Answer: 9*v + 91915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q. Let k(t) = 127*t + 60*t - 303*t - 1. Give k(m(o)).\nAnswer: -116*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 + 100101110101?\nAnswer: 100101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 676455 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92174 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30, -4 in decreasing order.\nAnswer: 0, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8528*m**3 + 4274*m**3 + 4255*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -2*k + 4, 44 - 32 = -3*h + k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/48 or -0.15?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3346*n*s**3 - 23*n*s**2 - 522*n + 45*s**2 + 171172*s wrt s?\nAnswer: 20076*n*s - 46*n + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 1175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*z - 8. Suppose -m = -z*q - 0*m + 166, -5*q + 199 = 3*m. 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: Let j = -4.08 - -0.08. Let x = j - -4.2. Which is the nearest to 0? (a) -0.5 (b) 1 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 10 = -5*s, -1736*s + 258 = 27*j - 1733*s for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 2\/5 (b) -2\/7 (c) -12\/19 (d) 0.1 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 3*l**2 + 2*l - 1. Let t be f(2). Calculate the highest common factor of 368 and t.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssppppppspspscppp. What is prob of sequence cpsp?\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-18)\/729*18\/1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 2 + 5\/(-1). Let c(v) be the first derivative of -3*v**2\/2 - v - 1. List the prime factors of c(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/7, -3\/5, 3\/421?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*f + 210 = 639*f for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/(sqrt(12)*2))\/(sqrt(11) - sqrt(66)\/(sqrt(6)*-2)) + 2.\nAnswer: sqrt(3)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1319\/15 - 1309\/15. Which is the fifth biggest value? (a) -0.2 (b) q (c) 4\/7 (d) -2\/57 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 258570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jtvkxtkkkvv. Give prob of sequence xtj.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 892 + 1220 - 87 = 0. Which is greater: -41 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (546\/(-28))\/13*(-8)\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v. Let r(d) = -18*d. Let g(z) = -3*z - 8. Let s be g(-3). What is s*r(m) + 15*t(m)?\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**2 - 5*c. Let f(a) be the first derivative of a**4\/4 + 3*a**3 - 21*a**2\/2 - 24. Determine 2*f(o) - 9*j(o).\nAnswer: 2*o**3 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*x**2\/7 - 996*x\/7 + 13778\/7 = 0 for x.\nAnswer: 83\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 6.\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1314331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 80 = -2*q. Suppose -21 = -2*u + 3*r, -6*u + 40 = -u + 5*r. What is the remainder when q is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9759 + 9759.007579. What is f rounded to 4 decimal places?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of -11*p**5\/60 + 17*p**2 - 5. Let q(k) be the second derivative of s(k). Let g(z) = -z. Calculate g(q(i)).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 8*j - 2. Let r(k) = 1. Let n = 3 - 4. Give n*i(h) - 2*r(h).\nAnswer: h**3 - 8*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15805 is divided by 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7 + 45\/6 + 510\/4. Let u be 4\/(-10) + (-168)\/(-20). Calculate the greatest common factor of u and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(48\/(-16)))\/((-3)\/(-24))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 - -101111?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 10*b**2 + 21*b + 11. Let d be f(-8). Let u = d - -11. Is (-788)\/u - 2\/(-9) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 678 = -4*k, 4*k = 5*k + g - 162. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g**3 + 4*g**2 + 2*g - 6. Let b(f) be the second derivative of -f**5\/20 + f**4\/12 - f**2\/2 + 5*f. Determine 4*b(m) - s(m).\nAnswer: m**3 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 l, and 1 v when four letters picked without replacement from lhliv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 2*n + n)*((-3 + 0 + 5)*(1 - 2 - 4) + (0 + 3 + 1)*(-4 - 1 + 2) - 2 + 2 - 1 + (3 + 0 - 1)*(4 - 2 - 1)).\nAnswer: 42*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*l - 6 = 41 + 31. Solve 4*r - 8*r = a - 5, 4*r + 2*a = l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3 + -1)\/((-120)\/(-72)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbzt. Give prob of picking 1 z, 1 b, and 1 t.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 3. Suppose b*h = -0*h. Let f = 24\/131 - 205\/1834. Is h at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 - 3*m**3 + 7*m**3)*(-236*m + 724*m - 240*m - 159 - 244*m).\nAnswer: 4*m**4 - 159*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.2, 2\/57, -2, 4?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4562118213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 + 2*r - 1192 - 1144 + 250.\nAnswer: 2*r - 1961","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12736, -12738, -12740?\nAnswer: -12742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 9132518, 5, 0 in descending order.\nAnswer: 9132518, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -23*u - 87. Let l(y) = -60*y - 173. Determine -5*j(d) + 2*l(d).\nAnswer: -5*d + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1513763?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 10*t - t)*(2 + 3*t - 2) - 2*t**2 + t**2 + 0*t**2.\nAnswer: 26*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -2*y + 5*s, -2*y + 20 + 44 = 4*s. Let p be y\/6 - (-2)\/(-3). Suppose x - p = 1. Solve 14 = -x*h - 5*n, 0*n + 7 = -5*h - n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64255373 divided by 301\nAnswer: 213473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*k + 3786 = -867 - 2697 for k.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 6*j**2 + 2*j - 14. Let d be k(-5). Solve -13*y - 27 = -d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -411?\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79993?\nAnswer: 167, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 340780\/39 + -8738. What is the closest to 0 in 0, z, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 37088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 82\/11? (a) -0.3 (b) 0 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 286029076 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 130547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 88\/(-14) - (-4)\/14. Let k(o) = -o**3 - 5*o**2 + 5*o - 4. Let l be k(v). Find the third derivative of -7*z**3 + 243*z - 7*z**l - 243*z wrt z.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -4*b**2 - 131572448*b - 1081956817044544 = 0?\nAnswer: -16446556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4da - 4?\nAnswer: -500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 4. Let u be n(10). Calculate the least common multiple of 3 and 132\/21 - 4\/u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 7*x**2 - 5 + 8*x**2 - 8*x**2. Let f(v) = -20*v**2 + 14. What is 5*f(l) + 14*s(l)?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4291 = -3*i + 9*z + 6818, -i + 3647 = 5*z. Calculate the highest common factor of i and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*406908.8.\nAnswer: -406908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - 31. Let r = -38 - d. What is the closest to 0.2 in r, 0.5, 7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {e: 2, h: 1, n: 9, t: 4, b: 3}?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, -4, -20, 0, -26 in ascending order.\nAnswer: -185, -26, -20, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 9*w - 5. Let l be i(-8). Sort 6, 0, l in ascending order.\nAnswer: 0, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 - 46. Let j = -26.89 - b. Round j to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 0*h + 4*h**2 + 0*h**6 + 1\/210*h**7 + 0*h**4 + 0*h**3 + 1\/10*h**5 + 0. Find the third derivative of i(g) wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 10. Let z(t) = -t**3 - t**2 + t - 1. Let i(n) = -3*n**3 - 2*n**2 + 2*n - 2. What is g*i(q) - 6*z(q)?\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97753151 is divided by 1344.\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1670, 1640, 1552, 1376, 1082?\n\"Answer: -5*u**3 + u**2 + 2*u + 1672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493056321.\nAnswer: 3, 17, 107, 90353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) + 1*sqrt(88))*-4)\/(sqrt(48)\/(sqrt(6) + sqrt(6)*-2)) - (sqrt(176)\/sqrt(4) + sqrt(1331)*4)) + 1.\nAnswer: -38*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9136 + -338028\/37. Which is the closest to -0.1? (a) -1\/2 (b) f (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3892*j*x**3 - 241*j*x + 906*j + 70*x**5 + 2*x**3 - x wrt x.\nAnswer: 23352*j*x + 1400*x**3 + 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/35)\/2*(28 + -33)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(19) + (3*sqrt(19) - sqrt(19)))*2 - ((sqrt(1539) + 2 - sqrt(1539))*6 - sqrt(1539) - sqrt(1539)))**2 + -4.\nAnswer: -864*sqrt(19) + 11264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -196 - 2*i**4 + 88*i**3 - 256*i**3 + 62*i**3 wrt i.\nAnswer: -8*i**3 - 318*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhehhe. What is prob of sequence eh?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 49535*c - 3769. Is f(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1701*z - 1667*z + 3368*z + 34565*z**2 as m + k*z**2 + v*z and give k.\nAnswer: 34565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 110.765991883 and -0.23?\nAnswer: 110.995991883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1820 - -11842?\nAnswer: 10022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -256*c - 269*c - 9286 - 510*c + 9286.\nAnswer: -1035*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.06 + -1.94. Let k = -59 + 115\/2. Let p = -1.2 - 1.8. Which is the nearest to -1\/3? (a) j (b) k (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -99, -0.03, -3, -2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 12*t**2 + 2*t + 1. Calculate h(-12).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + l - 95 + 76 = 0, 0 = 4*s - 4*l - 24 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 4*s**2 + 0*s**2)*(0*s**3 + 0*s**3 - s**3).\nAnswer: 2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 6*t**3 - 5*t**2 - 4*t + 12. What is the hundreds digit of g(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*-1*sqrt(11)*-1*4.\nAnswer: 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -200 times -2\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 595 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66513*t**3 + 86249 - 86249.\nAnswer: -66513*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + (-1 - 2). Let l be (-15)\/(-50) - (-6)\/r. Is -2 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.805062 nanograms?\nAnswer: 0.000000000000000805062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-2))\/(3\/100). Suppose -3*a = 15, u + 64*a - 66*a = 260. Calculate the greatest common factor of u and n.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 143328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10352 + 6269 = 11*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 6*h - 17*h. Put -10, h, -2, 0 in ascending order.\nAnswer: -10, -2, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1192399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4*p = 0. Suppose -4*b + 26 + 38 = p. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3257\/21 - -155. Let r = -187\/5 - -37. What is the second smallest value in y, 5, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 13, c: 3}. What is prob of sequence cc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z - 51810*z**2 + 3 + 52593*z**2 - 3*z to a + n*z**2 + q*z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-29)\/(-5) - 3\/(-15). Suppose g - 3 = -v, 5*v - 3 = -g + c*v. Suppose 3*o = -g*o + 1176. What is the greatest common factor of o and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(44) + sqrt(11))*-3 - sqrt(11))*-4)**2.\nAnswer: 17600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 113640 and 1704600?\nAnswer: 1704600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 330.769 - 331. Let l = -0.1746 - j. Round l to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 11*r**2 - 35*r - 12. Calculate f(-15).\nAnswer: -387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(1\/1 - 2). Suppose -4*o - 6*n - 16 = -2*n, -m*o - 25 = n. Let w(q) = 3*q - 10*q + 10 + q + 8*q + q**3 + 7*q + 8*q**2. Calculate w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 26 = i, -7*a + 3*a - 3*i = -97. Solve 15 = 22*o - a*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949\/4 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 7. Suppose -2*n + 5 = -z. Suppose -4*q = d - 2*d - 1, -n*q - 3*d = 3. Solve q = 5*k - 3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-888)\/32 - 108\/(-18) and 85\/(-4) + (-8)\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -132?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 338761077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -80, -64, 0, 2 in decreasing order.\nAnswer: 2, 0, -1, -64, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2433*t**2 - 10*t + 10. Let j(g) = 2357579*g**2 + 9692*g - 9692. Determine 4846*c(p) + 5*j(p).\nAnswer: -2423*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/(-52)*56\/(-49)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k - 3*u, -u - 5 = -4. Solve 3*a + 3 = 2*a, k*f + 4*a + 27 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**2*z - 11*o**2 - 9*o + 3*z + 3 wrt o.\nAnswer: 6*z - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + sqrt(95) + (-1*(sqrt(95) - ((1*sqrt(95) - sqrt(95)) + sqrt(95))) - sqrt(95)))\/((-1*sqrt(35))\/sqrt(7)) + 0.\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 325 - 294. Let x(t) = -t**2 + 41*t + 70. What is the tens digit of x(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -5*b**3 - 2890*b**2 - 84625*b + 87520 = 0.\nAnswer: -547, -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -3*l - 7. Let t(d) = -2. What is -6*t(u) + 2*x(u)?\nAnswer: -6*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -939*g**3 + 68*g + 6 wrt g.\nAnswer: -5634*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -c - 9 - 8, 2*n + 8 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4558 is divided by 205?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 812, 777, 746, 719, 696?\nAnswer: 677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**2\/2 + 2*w + 5. Let c be l(5). Let g(i) = 4*i**3 + 3*i**2 + 4. Let x(s) = 9*s**3 + 7*s**2 + 9. Give c*x(q) + 7*g(q).\nAnswer: q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 - -345. Let z = -38\/321 - -184085\/1284. Let i = k - z. Is 28 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1490 divide 837898775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80403?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in seven halves of a millisecond?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/18 - 5*(-5)\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1360918, 1360916, 1360914, 1360912, 1360910?\nAnswer: 1360908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*f - 97*f + 2040 = 156*f for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**3\/7 - 1968*d**2\/7 + 145125*d\/7 - 143154\/7 = 0. What is d?\nAnswer: -723, 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 7. Let x be k(1). Let i(m) = 70*m - 3. List the prime factors of i(x).\nAnswer: 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 131 - -140012205?\nAnswer: 140012340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -7*u - 1. Let p be (-80)\/(-36) + 4\/(-18). Let l be p\/6 + 4\/(-3). Put l, 2, u in ascending order.\nAnswer: u, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 566 (base 10) to base 14\nAnswer: 2c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 14*t**2 + 2*t - 11. Let n be i(7). What is the third derivative of 3*o - 19*o**n + 12*o**3 + 142*o**3 + 11*o**2 wrt o?\nAnswer: 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.105388 times -0.3?\nAnswer: 0.0316164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3896310589 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*x + 15 = 0. Let g be (70 + -68)\/(-1 - 2\/(-3)). Let z(u) = 8*u - 6. Let c(d) = -7*d + 5. Let m(n) = g*z(n) - 7*c(n). Give m(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1176 * -10758.\nAnswer: -12651408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31022 - -2?\nAnswer: 31024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -574991\/44 + 64847005\/4708. Let m = -706 + s. Let p = m - -7529\/1926. Find the common denominator of -29\/8 and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157869 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -65*m**3\/3 - 5*m**2\/2 - 2*m - 25. Let t be h(-1). Let v = t - -66. Let c(b) = -b**3 + 4*b**2 + 4*b + 1. Give c(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/50)\/((-4)\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2041*o + 29 - 29 - 3032*o - 9470*o to the form r + m*o and give m.\nAnswer: -10461","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 - 31\/2. Let x = -4.76 - 0.24. What is the third biggest value in 0.5, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + j - 97 = 0, -3*h = h + 3*j - 71. Let a be h\/8 + (-5)\/10. Suppose 3*o + 2*o = 10. Solve -a*p - o = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 45*g = 554. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = -6*p - 314. Let h = p + 145. Is h at least as big as 101\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.1 (c) 0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.81124 millimeters in nanometers?\nAnswer: 27811240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q, -2*q - 3*q - 25 = -5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 4365*y + 8726.\nAnswer: (y + 2)*(y + 4363)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 206694376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 19 = -73 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.66 - -1.34. Which is smaller: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -6*a - 19. Sort 3, a, 18.\nAnswer: a, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*k + 1076 + 20 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101 and 129179?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = -m + 6*m. Let u = m - 45. What are the prime factors of u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.07, 1, 29, -0.4, 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52.53 + 52.83. Which is the nearest to 0.1? (a) 5 (b) -2\/7 (c) -29 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -354.4 plus 24463558.5?\nAnswer: 24463204.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(396) - (2 + sqrt(396) + (-2 + sqrt(396))**2))*-5.\nAnswer: -360*sqrt(11) + 6030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r + 1297. Determine g(142).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39298 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n**3 - 2*n**3 + 0*n**3)*(18 - 3 + 14) + 121*n**3 + 9*n**3 + 4*n**3 in the form c + d*n**2 + l*n**3 + k*n and give l.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 divided by -33.\nAnswer: 19\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62726?\nAnswer: 2, 79, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -532842, -532937, -533102, -533343, -533666, -534077?\n\"Answer: -z**3 - 29*z**2 - z - 532811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3.5.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, a: 4, t: 1}. What is prob of picking 3 a?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -24. Calculate the remainder when 41 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(504)\/sqrt(8) + (2*sqrt(896))\/sqrt(8))*2.\nAnswer: 4 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6)*-26)\/((672\/(-72) - 17) + 25).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/8 + (2 - 5\/(-2)). Suppose y*p - 2*p = 64. Suppose 33*i - 2 = p*i. Solve -3*l + 2*u - 11 = 0, 3*u = -4*l - i*u - 7 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129.59047 + 16437\nAnswer: 16307.40953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 16 + 8)*(-1 + 1 - n)*(-3*n - 2*n + 7*n) to the form u + k*n**2 + l*n and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81)\/(-36)*(-1)\/(-6).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 47 = s + 7, 4*s + 22 = q. What is the remainder when q is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 - -25. Let p be (-54)\/(-15) + -1 - 2. Which is the second biggest value? (a) 0 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1066524 and 1504.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 36*i**2. Let j(u) = -621*u**2 + 322*u**2 + 280*u**2. What is j(h(m))?\nAnswer: -24624*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 29 + 14 = -s - 2*q, -52*s + 2*q = -472 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -684 - 715 - 3856*x**2 + 1399.\nAnswer: -3856*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -2*n**7\/21 - n**3\/6 + 3*n. Find the second derivative of i(t) wrt t.\nAnswer: -80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(4\/5)*m\/(m\/((m\/(m\/(m*m\/m**(-1\/4))))\/m*m*m)))**(-20))**31 assuming m is positive.\nAnswer: m**(-2511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -31\/2 + 15. Let r be 152\/76 + 21\/(-5). Which is the closest to p? (a) 1\/2 (b) 2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 4*o + 15 = -33, 5*y = -3*o + 54. Let k = -6 + y. What is the third derivative of -3 + 2 - 2*a**k - 2*a**2 + 1 wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f**3 - 78*f**2 - 387*f - 540 = 0. What is f?\nAnswer: -20, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.304386 rounded to two dps?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1492 and 6199.\nAnswer: -9248908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let s(a) = -37*a**2 + 17*a - 2. Determine o(s(x)).\nAnswer: 74*x**2 - 34*x + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 101*h**2 + 6*h**3 + 294*h**2 - 138*h**2 to the form p*h**2 + v + a*h + y*h**3 and give p.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 l, and 1 i when four letters picked without replacement from {j: 3, o: 2, i: 2, l: 2, m: 2, n: 1}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z + 13. Let c be j(6). Let s be c\/(0 + 1) - 5. Let h be (-2)\/s + 2984\/16. Calculate the highest common divisor of h and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/13))**(2\/19))**(-35) assuming k is positive.\nAnswer: k**(-140\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 4, y: 2, e: 2}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117215160 divided by -4.\nAnswer: 29303790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2541614 is divided by 3197.\nAnswer: 3196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 85, 176, 275, 382, 497, 620?\n\"Answer: 4*g**2 + 79*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-8)\/2 - (-790)\/240 and 3 + ((-138)\/(-9) - 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, e: 1, g: 8, i: 2, t: 2, x: 1}. What is prob of picking 1 g, 2 t, and 1 e?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -130202 (base 5) in base 8?\nAnswer: -11674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(2*(-2)\/(-4)). Let t = 1 + n. Solve 0*r - 4*r = t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, -18, 1\/6, -3\/4, -22 in ascending order.\nAnswer: -22, -18, -4, -3\/4, 1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeh when three letters picked without replacement from {e: 2, r: 4, i: 1, h: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 522, 524, 526, 528, 530, 532?\n\"Answer: 2*x + 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 590141070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((14 - 24 - 1) + -15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 4*q + 8. Suppose -4*w = -2*g - 2*g + 28, -2*g - q = 2*w. Let h(k) = k**2 - 2. What is the smallest common multiple of h(w) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74*(-7)\/7*((-66)\/(-12))\/11.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-13 + 20 + -9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 divided by -35.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -6837 to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -269*s = -254*s + 120 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17764 and 4?\nAnswer: 17764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + d**4 + 20*d + 2*d**2 - 60*d**3 - 13*d - 8*d in the form k*d + s + x*d**4 + f*d**3 + y*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/5)*x)\/x*x**(2\/19)*x*x**(-4)*(x**(-2\/3)*x)\/x*(x**(1\/4)*x**(-5\/6))\/((x*x**(1\/4)*x)\/(x*x**(-2)\/x*x)) assuming x is positive.\nAnswer: x**(-1329\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3216955?\nAnswer: 5, 7, 107, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -63911 to the nearest 100.\nAnswer: -63900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of -l**4\/4 + 2*l**3\/3 - 17*l**2 + 1. Let p(q) = -13*q + 9. Suppose 2*v - y = 3*v + 9, 2*y = 0. What is v*n(z) + 4*p(z)?\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2.1, 0.009, 4, -2\/65, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17021931, 34043869, 51065811, 68087757, 85109707, 102131661, 119153619?\n\"Answer: 2*v**2 + 17021932*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-12)*o))**(-29) assuming o is positive.\nAnswer: o**(-348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101 - 1000100?\nAnswer: -11101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -570, -2264, -5086, -9036, -14114, -20320?\n\"Answer: -564*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*u = 4*u - 2730, 0 = 4*o + 5*u - 2193. Let d = 527 - o. Let w = -36 - -22. Does w = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 42 = v - 3*y, -4*y = -8. Suppose -4*u - 4*u = v. Let j be u\/22 + 552\/132. What is the highest common factor of 28 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-9)\/11)\/((-1)\/10*-15). Is k < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 50?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of v**3\/3 + 3*v**2 + 6*v + 2. Let l(h) = -2*h**2 - 19*h + 4. Let t be l(-10). Calculate b(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*g - g**3 + 249 - 36*g + 0*g**3.\nAnswer: -g**3 - 3*g + 249","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 5*a**2 + 41*a + 10. Let s be u(-8). Solve 1 = s*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1182959?\nAnswer: 19, 23, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1040839000 to the nearest 1000000.\nAnswer: 1041000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 174*y**2 + 144*y + 5568. What is l(175)?\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 - (-8 + 7 - 29 - -1)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (-223 + 198 - (3 + -52))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1602993*j - 2*j**3 - 3205986*j + 1602993*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3 (b) 0.06 (c) 28 (d) 1\/3 (e) -4 (f) -0.54\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 15*i**2 - i + 17. Let x be f(15). Which is the nearest to 1\/5? (a) -1\/4 (b) 3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 10:11 PM?\nAnswer: 10:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*p - 2*u + 201, p + 3*u - 67 = 0. Let t = -10 + -57. What is the remainder when p is divided by t\/(-3) - (-4)\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2672*i**2. Let l(d) = -891*d**2. Let f(w) = -7*l(w) - 2*s(w). Let y(v) = 4*v. Calculate y(f(b)).\nAnswer: 3572*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021359 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265044067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 7:55 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 a, and 1 g when four letters picked without replacement from xgaxggxawggggwgxxaa.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -0.0092?\nAnswer: 0.1092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119741536?\nAnswer: 2, 61, 61343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30 + -40. Let m = 6035 + -42235\/7. Which is the biggest value? (a) m (b) -0.1 (c) n (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -354 - -795\/2. Let j = q + -44. What is the third smallest value in j, -21, -5\/4, 3\/8?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -0.1, 24, -1\/22, 1, 0 in decreasing order.\nAnswer: 24, 1, 0, -1\/22, -0.1, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 - 1518?\nAnswer: -14b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -110110 (base 2) to base 16\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4028)\/1908*12\/(-95))\/(-2 + 56\/10)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*a**3 + 2*a + 89?\nAnswer: -240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 220396740 to the nearest one hundred thousand.\nAnswer: 220400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -73 + -adce?\nAnswer: -ae52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwxukkwxn. What is prob of sequence ukn?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 15 - 5 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 - -8. Let l = 37 - v. Solve 0*i = 4*w + i - 6, -4*i = 3*w - l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 9*t**2 - 4*t + 4. Is 14 a factor of f(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24247 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 + p**3 + 16*p**3.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = y + 15 + 4, 5*l = 4*y + 21. Put -5, y, -1, -4 in descending order.\nAnswer: y, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/9)\/(4\/(-18)). Let m be (0 - -75) + (5 - 8). Suppose 26*y - m = 20*y. Calculate the highest common factor of y and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -1203, -2696, -4777, -7440, -10679, -14488?\nAnswer: -18861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1349 and 8759?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/8*f**4 + 84*f**2 + 0 - 87\/8*f**3 - 147\/2*f.\nAnswer: 3*f*(f - 14)**2*(f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4 + 7*x + 0*x - 2*x - x**3 + 4*x**2. Let o be n(5). Is 14 a factor of -28*2\/o*2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eek when three letters picked without replacement from uezkzegeezeeeeeuee?\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 1:27 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 993498 is divided by 2036?\nAnswer: 1966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 4 - 1) + (-384 - -381).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeegeeege. What is prob of picking 2 e and 1 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1088953342 to the nearest integer?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -262950, -265444, -267938, -270432?\nAnswer: -272926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 45 + 0 + -47 + -30\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 37 * -354696.6\nAnswer: -13123774.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 75749 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:09 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n + 115. Let o be h(-13). Suppose o*m + 2*w - 26 = 7*m, -4*m + 23 = 3*w. Solve 43 = m*i + 11 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 704*h - 1. Let x(l) = 690*l - 1. Determine -3*s(m) + 4*x(m).\nAnswer: 648*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031?\nAnswer: 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/39 + 4*(-3)\/78. Let s(w) = w**3 - w. Let a(j) = -7*j**3 + j**2 + 5*j. Determine d*a(k) + 5*s(k).\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -21a?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16800 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, 3\/38, -1\/3, -4?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -0*c + 2*s + 10, 5*s = -c + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((2*sqrt(1694)*6)\/(4*sqrt(14)\/sqrt(2)*-3))**2 + 0).\nAnswer: -1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/5 - 2828\/10. Let c = -415 - d. Find the common denominator of 0 - -2*(-267)\/c and 83\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -4\/7, -0.21, -0.5?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 5, -5\/3, 0, 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 7 + 1)*(2179 - i + 2078 - 3430).\nAnswer: 6*i - 4962","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/7 - 160\/7*u + 26\/7*u**2.\nAnswer: 2*(u - 6)*(13*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 at least as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -79, -50, -1, 68?\n\"Answer: 10*x**2 - x - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -7.02. Let y = 0.22 - b. Suppose 2*q - 13 = -3*z + 3*q, 3*z = 5*q + 29. Sort y, 2, z in increasing order.\nAnswer: y, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10*t + 6 = -12*t, f - 2*t = 6. Suppose f = 2*o + x - 1051, -4*o + 4*x = -106 - 1966. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.06707 + -0.0328. Let b = -37 + 36.966. Let u = b + v. Round u to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 3*b**2 + 2*b + 3. Let l be d(-2). What is the third derivative of l*u**2 + 3*u**5 - 3*u**5 + 2*u**6 wrt u?\nAnswer: 240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65917, -131838, -197759?\nAnswer: -263680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 13*b + 15. Let c be h(-1). Suppose 3*y - 4708 = -c*g, 5*y - 9*g = -13*g + 7850. List the prime factors of y.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -0.2, 7, -58, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8364)\/153)\/(-82))\/(94\/(-90) - -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6330 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -10 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 - 81*a**3 + 0*a**2 + 3*a**2 - 5*a**2 in the form l*a**3 + x*a**2 + q*a + z and give l.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4459.755 years?\nAnswer: 4.459755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25*0.1\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-2)\/10*2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -17*u + 25*u - 6*u**2 + 11 + 5*u**2. Let p be ((-3)\/5)\/(1\/(-15)). Give q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 8*m + 16. Let i be f(-6). Solve -j + 3*j - i = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 - (-5 + 3 + 1) - (286 + -395))?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303829.6 grams to tonnes.\nAnswer: 0.3038296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3548111 times 1\nAnswer: -3548111","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 13*c. Let a be (-2)\/(-10) - (-7 - (-260)\/50). Let f(v) = -21 + 52 + a*v - 31. Give m(f(b)).\nAnswer: -16*b**2 + 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2474159 is divided by 190319?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25539 rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -204012*t**4 - 4529 wrt t?\nAnswer: -816048*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2531334 is divided by 882?\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 2*q**2 - 7*q + 3. Let v be w(4). Suppose u - 2 = v. Is (-2316)\/(-9) + (-3)\/u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -4*y**3\/3 + y**2\/2 - 3*y + 225. Give b(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1052\/1315)\/(4\/(20*-16)*2).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(2\/((-6)\/(-9)*3)). Suppose -32 = -8*q - h. Suppose -4*z = -6*x + 3*x - 95, -q*z + 85 = -x. Is z a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 102 - -1?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*q**2 - 4656*q + 1354896 = 0. What is q?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3088 and -85\/6.\nAnswer: 9264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 + 0 = 0. Let k = -0.3 + 0.1. Let x = 5.6 - 6. Which is the third biggest value? (a) h (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 20*m**2 - 2*m**2.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1924\/65 + (-4)\/(-10). What is the highest common divisor of a and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 10. Let m(l) = l**2 - 6*l + 1. Let p(j) = -j + 1. Suppose -79 = -3*x - 82. Let o(d) = h*p(d) + x*m(d). What is the derivative of o(g) wrt g?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*r + 8277 = 0, 12*y + r - 33043 = 2*r. Calculate the remainder when y is divided by 92.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171045023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 101801537 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -48748*k**2*v - 16534*k**2 + 18*k - 2 wrt v.\nAnswer: -48748*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766115.6km to meters.\nAnswer: 766115600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 767 and 146497.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*v = -90*v + 36 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 4. Suppose 0 = -h + 12 - s. What is the smallest common multiple of h and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -12) + (-17)\/102*30. Let j = -89 + 119. Solve -s*x + 0 = j for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19ce (base 15) to base 9\nAnswer: 7605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -132 + -4886?\nAnswer: -5128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + s + 9 = -0*a, 0 = a - 5*s + 12. Let c be (-14)\/(-5) - a\/(-15). Solve 7 = -5*r - c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 3, o = -13*r + 3*o + 657533. Is 37 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-1)\/((-16)\/12))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 5*g - 5. Let x(j) = 4*j - 4. Let d(l) = -3*t(l) + 4*x(l). Let z(k) = 6*k - 12. Let w(i) = -10*d(i) + z(i). What is w(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31165 - 21308. What are the prime factors of c?\nAnswer: 9857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 64\/119, -0.1, 5?\nAnswer: 64\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a microgram in nanograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927209 to the power of 1\/2, to the nearest integer?\nAnswer: 1388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 145\/3 - 3338\/69. Let v = 54 - 55. Is v equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -5*n + 5 + 4, n = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*d**2 + d**3 + 165*d**2 - 44*d**2 - 39*d**2 + 17*d - 42*d**2 as a + x*d**3 + h*d**2 + q*d and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2377146 less than -4?\nAnswer: 2377142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-274 - -284 - (3 + 0)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 970980 and 71528860.\nAnswer: 214586580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(-395 - -1). Suppose -2 + c = 3*o. Let p = -28 + o. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*f - 17*f + 38*f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-465)\/(-10))\/(-3)*(-90)\/(-45)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes before 2:22 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8075 + 7311. Which is smaller: y or -762?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -5*g - g**3 + 5*g + 18 - 15*g**2 + g. Let f be z(-15). Differentiate 10 + y**f - 2*y**3 - 2*y**3 - 2*y**3 with respect to y.\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 3}. What is prob of sequence cc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e7c62 + -4?\nAnswer: 1e7c5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 11:18 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-438)\/30 - 1\/(10\/4). Let r be (6\/4)\/(z\/12*2). Which is the fourth smallest value? (a) r (b) 2 (c) -0.5 (d) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11658 - -25481. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -12*u + 57. Is j(-8) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*r - 3340 = 148*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25966*-21*2\/(-12). Let x = 744185\/8 - n. Let d = x + -2135. Calculate the common denominator of d and 95\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 56 = -j, 0*j + 3*j - 5*g = -167. Let w = 56 + j. Let q = 72\/5 - 129\/10. Which is the nearest to w? (a) 0.3 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/12 + 3*j**3\/2 - 5*j**2 - j. Let t be (7 + -4)\/((-3)\/(-4)) + (-6 - -9). What is b(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 10, n: 1, o: 2, a: 1, v: 1, z: 3}. What is prob of sequence zn?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 42975.83 decades in centuries?\nAnswer: 4297.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5849*h**3 + h - 1112?\nAnswer: 35094*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -171 - 507172?\nAnswer: -507353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/15)*l**15\/l*l*l*(l\/(l*l\/(l**(-1)\/l)))**(1\/8))**(17\/3) assuming l is positive.\nAnswer: l**(32147\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -55*a + 490. Is o(-50) a multiple of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38*a + 3*a**2 - 39*a - a**2 - 2*a**2 + a**2 + 2*a**2 + (0*a + 0*a + 2*a)*(0*a - 3*a + 5*a) + 2*a**2 + 1 - 1 to k*a + l*a**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (165\/(-66))\/((-185)\/4)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 7. Let j be q(3). Let m(n) be the second derivative of n**4\/12 - 5*n**3\/6 + 3*n**2\/2 + 5*n. Calculate m(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 + -23. Let c(z) = z**2 + 3*z - 4. Let w be c(i). Suppose 0 = -w*g + 2*g - 54. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22437 divided by 6\nAnswer: -7479\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 4. Let u(w) = -w + 3. Let a(q) = 3*s(q) + 4*u(q). Let l(x) = 3*x**2 + 16 - 9 - 7. Give a(l(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/16 - 37*a**3\/8 - 2*a - 504. What is s in d(s) = 0?\nAnswer: 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4264 and 984?\nAnswer: 12792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:49 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9125786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -31647 + 31828 + -1 + -142?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (171\/(-54))\/19 - (-638)\/132.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 + 7 = 5*w, 2*w + 4*b = -4. Suppose -2*r + w = -x + r, -3 = x - 4*r. Sort x, 3, 2.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4716 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: 10 - (4 - -6) - (0 + -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**2\/2 + 18642945*t\/2 = 0 for t.\nAnswer: -6214315, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15114.273 - -15107. What is j rounded to zero decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1151198712*q**3 + 1151198729*q**3 + 0*q + 5*q - 5*q.\nAnswer: 17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) 29.9 (c) -31.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 104806591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5335403 (base 7) to base 15.\nAnswer: cbe08","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1690?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -44.74 + 14779979.4.\nAnswer: 14779934.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4.89, -7 in increasing order.\nAnswer: -7, 0.3, 4.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1606652741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - v = -16, -241131 = -5*s - 2*v - 241102 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*h + 12 - 0, 5*r + 3 = h. Suppose h*z = -4 + 1. Let p = -18.4 - -18. Which is the nearest to z? (a) -0.1 (b) p (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 0*n = -1472. Let a = -347 - n. Calculate the highest common divisor of 112 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 933.0055 weeks in hours?\nAnswer: 156744.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 0)\/(-4)*4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a1a583 (base 15) in base 10?\nAnswer: -7679373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**8\/1120 - m**5\/40 + 3*m**4\/4 + 8*m. Let b(z) be the third derivative of l(z). What is the derivative of b(h) wrt h?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:12 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2759, 5556, 8335, 11090, 13815, 16504, 19151?\nAnswer: 21750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 339505912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l**2 - 283220*l - 4010678420 = 0. Calculate l.\nAnswer: -28322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-112 - -13)\/9). Let g(l) = 4*l - 2. Let c be g(2). Let d be 10\/c + (-4)\/6. Is d bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376006 is divided by 172000.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -u**5\/20 + 5*u**4\/12 - u**3\/3 - 3*u**2 - 7*u. Let z be j(4). Factor -2\/9 + 14\/9*y**3 - 4\/9*y**4 + 10\/9*y - z*y**2.\nAnswer: -2*(y - 1)**3*(2*y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2113863805 + 2113863805 - 125*m**3 - 28*m**3 - m + m.\nAnswer: -153*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 3*c**2 - 9*c - 6. Let s(w) = 7*w - 11 + 0*w**3 + 5*w**2 + 2*w**3 - 26*w + 0*w**3. Let b(z) = 13*g(z) - 6*s(z). Is b(-9) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 2, -2*h - 60 = -2*c. Let z be 5\/(10\/c) + 0. Find the common denominator of 133\/(-8)*z\/(-12) and 37\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -1 - (1 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 522 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1341\/126*(-1 + (-2188)\/(-2160)). Let x = -1\/216 + s. What is the third smallest value in 7, -4, -6, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 556910 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90191.15 nanometers to millimeters.\nAnswer: 0.09019115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k - 3*k = -14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1077221588 + 0.9\nAnswer: -1077221587.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + 6*g**4 - 5*g**4 - g**3 + 1 + 2*g as a*g**2 + j*g**4 + p*g**3 + s*g + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 55\/4*o**3 + 13\/4*o**4 + 3*o**2 + 0 = 0.\nAnswer: 0, 3\/13, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and 1032085975130.\nAnswer: 1032085975135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(((-99)\/132)\/((-14)\/8)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and -0.827891.\nAnswer: 0.4967346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + (-5)\/((-440)\/92). Let w(s) be the second derivative of 0*s**2 + 2\/33*s**4 - q*s**5 - s + 2\/165*s**6 - 1\/33*s**3 + 0. Factor w(l).\nAnswer: 2*l*(l - 1)**2*(2*l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 26*c - 7. Let o(t) = t**2 - 17*t - 4. Let s(l) = 7*o(l) - 5*v(l). Let q(j) = -j**2 + 5*j + 3. What is 9*q(b) - 4*s(b)?\nAnswer: 3*b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 111.3 at least 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**5\/12 + 7*h**4\/8 + 7*h**3\/6 + 17*h**2. Let v(i) = -i**2 + 4*i + 1. Let w(f) = 2*q(f) - 11*v(f). Calculate w(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**4 + m - m - 2*m**3)*(0 + 0 + 5*m).\nAnswer: -5*m**5 - 10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 5*b + 8, 2*c = -3*b - 0 - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 11:40 AM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) 0.3 (b) -2\/7 (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = f - 0. Let t(y) = -90*y - 4. Does 30 divide t(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 3, -91, -281, -597, -1069, -1727, -2601?\nAnswer: -3721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - 3*y**4 - 5*y**4)*(0*y + 6*y + y).\nAnswer: -49*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(21)\/(sqrt(3) - ((sqrt(3) - (sqrt(48) - sqrt(3))) + sqrt(3)))) + 1.\nAnswer: 1 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03 - -3.97. Let b = 0.5 + -2.5. Suppose 4*p = 20 + 16. Sort z, p, b in descending order.\nAnswer: p, z, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43, 50, 57, 64, 71?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u + 1. Let y be m(2). Let p = 32 - y. Let r(l) = -l**2 - 3*l - 2. Let t(w) = 4*w**2 + 13*w + 9. Determine p*r(h) + 2*t(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 12:12 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 32*j**2 - 67*j + 44. Let c = 61 + 98. Calculate the remainder when c is divided by d(-34).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3149*d - 110360. What is l(-35)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10200839 to the nearest integer?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 12:43 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-924)\/(-1078)*14\/(-13)\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*60\/(-80)*2\/60*-2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 912621 + -452804. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -46.8 (c) 18 (d) -2 (e) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2274 + 423*w - 2274)*(-w - w + 0*w).\nAnswer: -846*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (292 + -318 + (-6 - 1))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*j**2 - 93*j**2 - 85*j**2 - 89*j**2 + 349*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 10. Suppose -t + s = 4*t. Let m(c) = -2*c + 3 - 4*c + 4*c. Give m(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 462 + -246. Let l = -126 + c. What are the prime factors of l?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -7*v + 54. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -0.3, -1, 5.\nAnswer: -1, -0.3, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y = 37*y - 68*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilogram in milligrams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*k**5\/5 + 38*k**4\/5 + 2*k**3 - 38*k**2\/5 - 24*k\/5 = 0 for k.\nAnswer: -12\/7, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 15*u + 18.\nAnswer: -3*(u - 1)*(u + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 601738?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 232355 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 b when three letters picked without replacement from {j: 1, x: 2, b: 1, a: 1, n: 1, m: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 191 + 942. Let b = -1133.0617 + o. Round b to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 4*m**2 + 2*m. Let k be t(-3). Suppose -65 = -k*c + 61. Suppose 11 = x - c. Calculate the remainder when x is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 498805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/(132\/71456). Let h be (c\/210)\/((-7)\/((-63)\/(-6))). Factor -31\/5*d - 9*d**2 - 8\/5 - h*d**3 - 7\/5*d**4.\nAnswer: -(d + 1)**3*(7*d + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 9. Let z be -2*(f + 2 - 2). Let u = z + 0. Solve 0*r = u*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.04679 less than 0.4?\nAnswer: -3.64679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51280*a**4 - 9*a**2 + 446.\nAnswer: -1230720*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.01 not equal to 16\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 0 + (sqrt(567) + 2)*-3 + -2)**2.\nAnswer: 270*sqrt(7) + 5128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 3*b - 18. Let t be 4\/b*15\/(-10). Solve 0 = -3*h + 4*n + t, -7 = 3*h - 0*n + 4*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -87 + 26. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.96 - 42.96. What is the smallest value in -0.3, r, -4\/143?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -o**2 + 131858*o*v**3 + 579281*v**3 wrt o.\nAnswer: -2*o + 131858*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, p: 17}. Give prob of sequence qp.\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 390707 + -816707. What is m rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 4:32 AM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/(5\/(-90)). Put -1\/3, 2, 0.3, i in increasing order.\nAnswer: i, -1\/3, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70132649\/10 + 7019287. Let s = j - 6032. Let q = 23984\/11 - 2183. What is the common denominator of s and q?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 175 and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 942 is divided by 128?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21\/4, 2\/7, 2, -1\/3?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-1)\/(-3))\/(33*12\/1188).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1484 - 1482. Let w(a) be the first derivative of -1\/2*a + 1\/2*a**l + 2 - 1\/6*a**3. Factor w(z).\nAnswer: -(z - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33.12 - -0.93. What is i rounded to zero dps?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 + 54*a**2 + 25*a - 13. Let t be g(-13). Suppose -15*x = -t*x + 45. Let l(n) = -3*n. What is l(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -5 - -10) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13640 is divided by 853?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v. Let i(s) = s**2 - 5*s. Let q(k) = i(k) + 5*r(k). Let c(o) = o**2. Let b(u) = -3*c(u) + 5*q(u). Let f(a) = 3 - 3 + 2*a. Determine b(f(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -137 - -3855?\nAnswer: 371e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 371342\/1091 or 339?\nAnswer: 339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134452929 to the nearest integer?\nAnswer: 11595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3120 + 3124. Solve l*c = 2*f - 0*c - 20, c + 5 = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**2 + 12*w + 13. Let p be f(13). Suppose -2*j + 254 - 38 = p. Suppose -2*c + 60 = -j. Is 28 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1009*v + 2014*v - 1007*v. Let m(b) = 1750*b. Give q(m(o)).\nAnswer: -3500*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1777*c - 59*c**2 - 1 - 2 + 1775*c to the form l + y*c**2 + p*c and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4746158 and 8.\nAnswer: 18984632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 10. Let z = 19 + m. Suppose z*r - 6*r = -15. Which is the third biggest value? (a) 0 (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665220324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 18. Let x(z) = 0 + 28*z + 18 + 9 - 61*z + 32*z. Give -7*v(r) - 5*x(r).\nAnswer: -2*r - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000077517 rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 54 + 10. Let u = s + -14. What is the nearest to -5 in u, 0, 1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-10 + 16 + -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 2:31 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z - 6. Determine j(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*z**3 + 297296*z**2 + 223121 wrt z.\nAnswer: -9*z**2 + 594592*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2660 and 70220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*b - 16*b + 40*b + 3936 = -93*b for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -158400?\nAnswer: -1583cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 51333 - 26282481\/512. Is t at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160811 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 63893850 rounded to the nearest 100000?\nAnswer: 63900000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 9*j**2 - 10*j - 2. Let w be o(10). Let y be (-1)\/w*(-16 - -6). Let v = y + 11. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.3844 rounded to one decimal place?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, u: 4, w: 3}. What is prob of sequence wk?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*j**2*u**3 + 6*j**2*u + 4936*j**2 - j*u**2 + 46*u**3 - 64*u**2 - u + 11 wrt u.\nAnswer: -54*j**2*u - 2*j + 276*u - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 84888684.\nAnswer: -1\/42444342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*j - 9*j = -15819 + 16611 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-16))\/(504\/48384).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1244, -2495, -3746?\n\"Answer: -1251*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {q: 3, i: 1, n: 9, z: 3, e: 1, m: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 5144*f - 246920. Give z(48).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 divided by -523?\nAnswer: 95\/523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 11:00 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12 (b) -4\/3 (c) 1 (d) 2\/89 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 36*n + 108. Let v be i(-3). Solve -5*l = 3*o - 8*l - 18, v = -2*o - l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k - 48*k - 34*k as o*k + f and give o.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygyyyyyyyhyyhhyy. What is prob of picking 2 h and 1 g?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**4\/11 + 182*n**3\/11 - 5912*n**2\/11 - 44120*n\/11 + 110400\/11 = 0.\nAnswer: -115, -8, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 0, -3, -462, 3, -1 in increasing order.\nAnswer: -462, -3, -1, 0, 3, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/7 + 2124854*c**4\/7 + 80626446698*c**3 + 725613432894*c**2 = 0.\nAnswer: -531209, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + ((-108)\/324)\/(42\/3744).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 5*v = 0. Suppose -5 = 2*n + b, -4*b - 8 = -0*n + 2*n. Let u be n\/35*(2 + 2 - -1). Which is smaller: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/53 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 2. Let m be q(4). Suppose -10 = 2*t, t = -z + 3*t + 64. Suppose b = -m*b + z. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 - 7*o + 5. Let v be d(2). Factor 20*g**4 + 5*g**5 - 36*g**v - 2*g**5 + 28*g**2 - 5*g**5 - 2*g**5 - 8*g.\nAnswer: -4*g*(g - 2)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1764 and 23\/6.\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 317 - 282 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(77) + sqrt(77))\/((sqrt(99) - (sqrt(99) + sqrt(99)*-2 - sqrt(99))) + sqrt(11)).\nAnswer: 11*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2. Let q(d) be the third derivative of -d**4\/8 + 35*d**3\/3 - 408*d**2. Determine q(c(u)).\nAnswer: -6*u**2 + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -4*n - 1. Let d be k(-1). Suppose 10 = -4*w + 2*p, 4 = -4*p + 24. Suppose 6*x - 3*x - 81 = w. Calculate the greatest common factor of d and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1241 - -0.3?\nAnswer: -1240.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 14*y - 38. Let c be t(6). Solve -g - 22 = -5*k, 0*g - g = 3*k - c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = 5*y + 24. Suppose 14400003 = -y*f - 5*j + 4*j, 5*j + 15 = 0. Round f to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 44\/5 of a meter?\nAnswer: 880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -115*l - 3. Let a be w(-3). Suppose 3*z = a - 114. Is z a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2837 + 2891. Calculate the remainder when 3833 is divided by w.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -o + 5402, 0 = -140*o + 135*o - 3*g + 27010. Calculate the remainder when o is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 41*u + 576. Let j be (-4)\/u*3\/2. Which is the closest to j? (a) 5 (b) -4\/5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 39*i**2 + 39*i + 11. Let t be a(40). Let j be 1*(3 + 1) + (-32 - t). Sort -14, 3, j, 0.\nAnswer: -14, 0, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 35917.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 1965?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 361 = -v - 385, 0 = 3*v + 12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 7 = s, -s + 20*g - 19*g = -5. Solve 0 = -5*o + 2*j - 9, 3*o - 4*j - s = -0*j for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787121251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**4\/27 - 34*g**3\/27 - g + 53. Factor t(z).\nAnswer: 4*z*(z - 17)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -80 in 3, 5\/6, -3\/5, 3\/4, 14\/9?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 + 3*p**2 + 7*p**2 - p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, p: 1, m: 4, q: 1, t: 1}. What is prob of sequence tp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3033 - -0.2033. Which is the third biggest value? (a) x (b) 3 (c) 691\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3760, 13875, 30338, 53149, 82308?\n\"Answer: 3174*u**2 + 593*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -21*o**2\/2 + 183*o - 153\/2 = 0.\nAnswer: 3\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -12*f + 17*f. Let h = 26 - 23.8. Let n = h - 2.19. Which is the smallest value? (a) n (b) -0.4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) 3\/8 (b) 3 (c) 42\/283\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 314740399 to the nearest integer?\nAnswer: 680","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4152207 is divided by 299.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34227 (base 9) to base 10.\nAnswer: -22786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -627 - 395*p**2 + 393*p**2 - 1555 to the form l*p**2 + q + w*p and give q.\nAnswer: -2182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x + 14. Let r be h(3). Suppose -3*w - r = -4*p, -4*w + p + 6 = -0*w. Is (w\/(-12) + (-279)\/18)*-3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -199*y - 54. What is the units digit of t(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3 - 50\/(-15))*(62 - 64).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 166*c + 64. Give y(-2).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, m: 13}. What is prob of picking 1 m and 1 v?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 186277?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11899347*q + 11698846?\nAnswer: 11899347","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = -0*b. Suppose 0 = l - 9 + 19. Let z be (l + -6 - -4) + -4. Let x(h) = -4*h**3 + 16*h. Let t(j) = -j. Calculate b*x(p) + z*t(p).\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74181*t**3 - 1 - 74615*t**3 + 2770*t + 136380*t**3 wrt t?\nAnswer: -74496*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.19819m in kilometers?\nAnswer: 0.06819819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*j**3*s**2*z + 702*j**3*s*z + 10*j**2*s*z - j**2 - 4*j*z - 24*s**2*z wrt j.\nAnswer: 12*s**2*z + 4212*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89043?\nAnswer: 3, 67, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9688010747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37081 divided by 3\nAnswer: -37081\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 0.02 (c) -8 (d) -3 (e) -0.046\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.3, 3\/3305, -4?\nAnswer: 3\/3305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 204*k + 823. Calculate o(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13955.6184 + -36554.7252. Let w = -22559.1 - f. Let n = -40 + w. Round n to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7739162+-11.026\nAnswer: 7739150.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -883.5857908 rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m + 0*m - 3*m - 6*m - 1 + 1 + (-5 + 3 + 0 + m)*(3 + 0 - 2).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27045 + -27049. Put d, 1187, 0, -0.1 in decreasing order.\nAnswer: 1187, 0, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*z**2\/5 - 456*z\/5 - 462\/5.\nAnswer: 6*(z - 77)*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.350304 years to millennia.\nAnswer: 0.002350304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 10 + -20 + -48?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2117 - -2028. Which is smaller: -94 or x?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d - 411*d + 436*d + 80*d**2.\nAnswer: 80*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:54 AM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -25\/2, 3722, -2\/5 in increasing order.\nAnswer: -25\/2, -2\/5, 3722","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from pogxoooopgovovoxg.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*i = 2*i + 55560 + 163419. List the prime factors of i.\nAnswer: 3, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u - 6. Let z be v(4). Suppose -4*b = -3*g + 7*g - 300, 3*g - 255 = 3*b. Suppose 2*t = q - g, -4*q + 7*t = z*t - 311. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 154 = 2*n - 0*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222468.24 rounded to the nearest ten thousand?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of q**6\/12 + 19*q**5\/12 - 1075*q**4\/24 - 280*q**3\/3 + 22*q**2 - 18. Factor p(t).\nAnswer: 5*(t - 7)*(t + 16)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 + 11*m. Let j(g) = -3606119*g. Give j(a(o)).\nAnswer: -7212238*o**2 - 39667309*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 157030 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 289.5466 litres to millilitres.\nAnswer: 289546.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115493714.\nAnswer: 2, 7, 8249551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of o**7\/420 + o**4\/4 - 2*o**3 + 6. Let s(c) be the third derivative of x(c). What is the first derivative of s(d) wrt d?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5535262 rounded to one dp?\nAnswer: 36.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3529 + -7751. Which is smaller: p or -4221?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(2592) + 0) + 1 + (sqrt(1800) - (sqrt(1800) + -3*sqrt(1800)*1)) + 1 + -2)**2.\nAnswer: 16200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1414*w**2 - 93*w**2 + 316 - 316.\nAnswer: 1321*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 v when four letters picked without replacement from {q: 3, v: 2, i: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of 23*c**6\/60 + c**3\/2 - c**2\/2 + 14*c - 18. Let f(o) be the second derivative of u(o). What is the derivative of f(w) wrt w?\nAnswer: 138*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(605) + -2 + (sqrt(605) + -2*sqrt(605))**2)*-3 + (sqrt(210)\/(-1*sqrt(7)))\/(sqrt(6) - -6*(2*sqrt(6) - sqrt(6))).\nAnswer: -1808 - 232*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52625551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ghgl when four letters picked without replacement from {e: 2, i: 1, h: 1, l: 1, g: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.41, 6\/19, -12 in decreasing order.\nAnswer: 0.41, 6\/19, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2. Let c be v(0). Let l = c - 2. Put 0, l, 3 in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24584 + 138*b + 24584)*(0*b + 0*b - 28 - 2*b) to the form l + d*b + u*b**2 and give d.\nAnswer: -3864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*c + 184*c - 2843 = 0. What are the prime factors of c?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96075280 divided by 392\nAnswer: 245090","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5017 = 201*k + 31*k - 19807 for k.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/((-10 + 7 + 2)\/(1\/(-3))). Which is bigger: -1\/4232 or z?\nAnswer: -1\/4232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z = 7289 + 2341. Which is greater: -0.2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u**2 + 6*u + 7. Let d be n(-3). Let v be (-5)\/(-2)*(20\/d + 0). What is the second derivative of -11*g + 8*g**3 + 759*g**v - 759*g**2 wrt g?\nAnswer: 48*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8642911, -8642909, -8642907, -8642905?\nAnswer: -8642903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - w = 0, 2*w - 59 = 5*v - 59. Solve 4*g + 2*t + 30 = v, 7*g = 5*g + 2*t for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, m: 9, t: 5, p: 1}. What is prob of sequence wtp?\nAnswer: 5\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2109, -3516, -7327, -14742, -26961, -45184?\nAnswer: -70611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, c: 3, d: 8}. Give prob of sequence od.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:29 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 11 + 0)*(-2*v**2 + 3*v**2 - 4*v**2) to the form c*v + i + o*v**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -0.5, -5, 30?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-62)\/(-20) - 1. Suppose -2*j + 5*j - 9 = 0. Let d = 4 - j. Is d > a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342838?\nAnswer: 2, 23, 29, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 51828 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.9772915 hours?\nAnswer: 58.63749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 6*i**2 + i - 1. Let t(q) = -q**3 + 3*q**2 - 3*q + 3. Let s be 2 - 0*3\/(-6). Let r be t(s). What is the units digit of n(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 29 + 90. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(-28)\/945*(-50)\/(-20).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let v be (h - 1 - 3)*1. Let p be (8\/6)\/(v\/4200000). What is p rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*x - 420*x + 1540 = 0 for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1587 + 1587. Let l(a) be the first derivative of a**4\/4 + 4*a**3\/3 - 2*a**2 - 7*a + 3. Let c be l(-5). What is the closest to c in -3\/4, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-3))**31\/(g**3\/g*g)**(-2\/17))**(-15\/7) assuming g is positive.\nAnswer: g**(3375\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/5510626 and -75\/2003864?\nAnswer: 22042504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -272*g + 267*g + 45. Let h(b) = b**2 - 9*b + 6. Determine h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -280*y**3 - 4*y**2 - 151*y - 145. Give a(-1).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 2*h. Let m be c(-3). Suppose 0 = -m*d - 2*q - 166, d + 65 = 2*q + 15. Let w = d + 91. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23980 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 66?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 611*r**4\/3 + 5*r**3\/2 - 2*r**2 - 72. Is x(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3 + 21*x - 20.\nAnswer: -(x - 4)*(x - 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-38)\/7 - 6\/(-14). Let n be 4\/(-5) - 14\/v. Solve -5*o + 15 = 0, 2*i = -n*o + 6 - 4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -2\/15 (b) 0.3 (c) 7 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 22*z**2 + 4*z + (-8 + 8 - 6*z)*(3 - 3 - 3*z) to b*z**2 + j + o*z and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -5, -2\/7, -50 in descending order.\nAnswer: -0.2, -2\/7, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from {m: 7, o: 2}.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 83*n + 159. Let i be f(-13). Let j be (-12)\/(-15) + i\/(-100). Solve -5*k + 0*b - 10 = -5*b, -j = -4*k - 5*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - -133?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6546*a + 15817*a - 6074*a to the form c*a + g and give c.\nAnswer: 3197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4096)\/(-9) + 31\/(-279). Calculate the highest common divisor of u and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -8027*u + 32114. Determine i(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3555666.\nAnswer: 2, 3, 251, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168\/60)\/((-3)\/30*8)*2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-9)*w*w\/(w*w\/(w*w**(-1\/3))*w))\/(w**(-12\/11))**(2\/33) assuming w is positive.\nAnswer: w**(-3364\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-7)*(-42)\/12. Let c(n) = -13*n**2 - 11*n**2 + 33*n**a. Let r(z) = 2*z + 0*z - 4*z. Determine r(c(w)).\nAnswer: -18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/15 (b) 7.153 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - 9. Suppose -3*y - 4*i + 7*i + 63 = h, -4*y - 5*i = -84. What is the highest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1079357 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 0.3, -3, -1\/4 in ascending order.\nAnswer: -3, -1\/4, -0.07, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 8 + 9)*(-3*g + 3*g - g) to the form n*g + k and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -9*q + 26 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**3\/3 - 15*r**2\/2 + 7*r - 2. Determine n(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -3366144.\nAnswer: -1\/1122048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 119\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 480*o + 3442. Let j(r) = -160*r - 1147. Let k(t) = 16*j(t) + 5*m(t). Differentiate k(v) wrt v.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 26*j - 34. Let f(b) be the first derivative of -33*b - 1\/3*b**3 + 27\/2*b**2 + 3. Let r(l) = -2*f(l) + 3*s(l). Solve r(i) = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71307570 to the nearest 100000.\nAnswer: 71300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 + (-2356)\/20181*3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272515935?\nAnswer: 3, 5, 73, 191, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163502 is divided by 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4190\/3 or -0.062?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - (-3 - -4)) + 4. Suppose 0 = 2*z - 10, -2*p + 2*z + 0 + w = 0. Suppose -4*g + p*g - 6 = 0. Solve g*d + 20 = 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 (base 9) in base 2?\nAnswer: 111100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4398 + 4479. Calculate the highest common divisor of p and 891.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n + 3. Let r(y) = -y - 1. Let p(t) = l(t) + 5*r(t). Suppose -701 + 706 = -w. What is p(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2425688\/3 or 808563?\nAnswer: 2425688\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*6\/(-9)*(-81)\/(-18).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 90*n**2 - 483*n - 817. What is r(-95)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/4266 and -19\/1130490.\nAnswer: 1130490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**5\/15 + 5*s**4\/24 + 2*s**3 - 11*s**2\/2 - 22*s. Let y(w) be the first derivative of u(w). What is the tens digit of y(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 54*b**2 - 7*b - 6. What is x(-1)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a gram in milligrams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 117. Let z = -177\/2 + k. Is 5 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*r**3\/4 - 15*r**2\/4 + 9*r\/2 = 0 for r.\nAnswer: -1, 0, 6\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (22 + -16 + 5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1582*i**3 + 3421*i**3 + 7484*i**3 + (i**3 - i**3 - 2*i**3)*(-1 + 3 - 4) in the form u*i**2 + t*i**3 + y + m*i and give t.\nAnswer: 9327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*z + (-4 + 0 + 3)*(-6*z + 3*z + 2*z) + (-3 + 4 + 7)*(-3*z + z + z) + 0 - z + 0)*(-2*z + 0*z + 12*z) as m*z + a*z**2 + s and give a.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107044774.\nAnswer: 2, 37, 1446551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 999054737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i. Let j(k) be the first derivative of 3*k**2\/2 + 19*k + 196. Determine r(j(f)).\nAnswer: 6*f + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**8\/5880 - v**7\/735 + v**6\/315 + 23*v**3\/6 - 126*v. Let k(p) be the second derivative of b(p). Solve k(f) = 0 for f.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1475 + -1451. What is the highest common divisor of 78 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -536*i**2 + 0 + 538*i**2 + 0.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 98, 381, 934, 1847, 3210?\nAnswer: 5113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*v - 40*v + 8*v**4 + (5*v**2 - 4*v**2 + 0*v**2)*(-2*v**2 - 4*v**2 + 5*v**2) as d*v**3 + y + t*v + q*v**4 + g*v**2 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**4 - 18*o**3 + 27*o**2 = 0 for o.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - -0.73. Let a = x + 2.2. Let t be 5\/63 + (-4)\/18. Sort a, t, -2 in decreasing order.\nAnswer: a, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 PM and 11:41 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269\/4 - 1\/4*h**2 + 67*h = 0.\nAnswer: -1, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 745056583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 * -0.05518\nAnswer: -0.0005518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 367 = -185. Solve 11 = 8*t - 4*t + r, v = 2*t - 3*r for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-4))\/(1\/32). Let r be (-7)\/2 - 8\/c. Is 71 - (-2 - r) - 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/6*7\/((-168)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (70 + 0 + 2)*(-59)\/(-118). Let w(v) = v**3 + 7*v**2 + 3*v + 9. Let u be w(-6). Calculate the highest common factor of s and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rmr when three letters picked without replacement from {r: 2, m: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -211 (base 9) to base 2.\nAnswer: -10101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cocoocooccoo. What is prob of picking 1 o and 1 c?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**2 + g**2 - 2*g**2 + (102*g - 215*g - 4 + 112*g)*(-3 + g + 3) as w + u*g**2 + b*g and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22880963 to 4 decimal places.\nAnswer: -0.2288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440*t + 395*t = 431*t + 476 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 13. Suppose -6*r + o*r = 0. Suppose -2*u = -0*y - 2*y + 10, -y = u - 7. Solve -2*a + r = y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10 = 3*m, -18*m + 16*m + 11 = q. Suppose 4*u + 48 = 144. Calculate the remainder when u is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00034172 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 86549496 divided by 21637374?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-135)\/(-90) + (-11)\/4)*4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 15 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*g + 27 = 0. Is 3 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + ((sqrt(176) + 1 - sqrt(176)) + 5 - (1 + sqrt(176))*1)))**2.\nAnswer: -144*sqrt(11) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -3 - 3) + 4 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 124 + -126. Which is the closest to 1\/2? (a) -1\/3 (b) -1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 4244606?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by -1?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2067 or -14470\/7?\nAnswer: -14470\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 706 in -0.1, 0.3, -24\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 2)*(2*o**2 + 4*o**3 - 2*o**2) + 2 - 2 - 3*o**3)*(-18 + 32 + 22).\nAnswer: 36*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2 + 410*d + 10500 = 0. Calculate d.\nAnswer: -175, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3896327560?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 443149 divided by 37?\nAnswer: 11977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d9a - 616e?\nAnswer: -53d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (41 - (-6 - -16)) + -21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 - (5 + -9 + 1\/(-1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.02 - 0.38. Let m = 0.2 + h. Let p = 1\/45068 + -2817\/11267. Sort p, -1.1, m in decreasing order.\nAnswer: m, p, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(5\/2))\/((d**(2\/23)*d)\/d))**(-35) assuming d is positive.\nAnswer: d**(-5495\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= 0.03929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2944, -6022, -9340, -13018, -17176, -21934?\nAnswer: -27412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 22213 = i, 2*q = -0*i + 2*i - 44422. Suppose -5*x + 3*z - i = 0, -3*x - 9*z = -5*z + 13308. What is x rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30469*g**3 + 7*g**2 + 40*g - 8?\nAnswer: 182814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 11*q - 15. Give b(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 9. Suppose q = d - 9, -d - 3 = y*q - 0*d. Let a(x) be the third derivative of x**5\/60 + x**4\/6 - x**3\/6 + x**2. Calculate a(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 21. Suppose -h - z + 2396598 = -y*h, -z = 2*h + 4793190. Let c = 1296596 + h. Round c to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 20.9, -2\/19, -1?\nAnswer: 20.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18 - 5 + 40 + 2*u.\nAnswer: 2*u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/719 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*i**4 + 23*i**2 - 214*i**3 + 2*i + 3 + 217*i**3 as s*i**4 + g + b*i**2 + m*i**3 + u*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 - (3 - 5 - -5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+0.074325520693661\nAnswer: 0.574325520693661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvyb when four letters picked without replacement from {l: 2, v: 1, b: 2, y: 7}?\nAnswer: 7\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 318392 and 936?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302030231 (base 4) to base 10.\nAnswer: 205613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 279416, 558833, 838250, 1117667, 1397084?\n\"Answer: 279417*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = w - k - 2*k, 2*w - 4*k = 8. Let y(q) = q**3 + w*q + 349*q**2 + q**3 - 4 - 354*q**2. Let j(l) = 5*l**3 - 14*l**2 + 11*l - 11. Give 4*j(c) - 11*y(c).\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -302684800 divided by -1375840\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*c + 21718 + 53286. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 821, 1968, 3885, 6578, 10053, 14316, 19373, 25230?\n\"Answer: k**3 + 379*k**2 + 3*k + 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 1\/12*b**4 - 32*b - 3\/40*b**5 + 0 - 1\/2*b**2 + 1\/4*b**3. Let p(z) = 0. What is z?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 6*b**2 - 5*b - 2. Does 23 divide u(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbi when three letters picked without replacement from {a: 3, i: 3, g: 10, b: 3, c: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/20 - 5*y**4\/12 - y**3 + y**2\/2 + 3*y. Let x be r(6). What is the smallest common multiple of (-10)\/(x\/2 + -1) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 5*w**2 - 12*w + 5. Let f be t(10). Let b = f - 12448\/9. Find the common denominator of 93\/10 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 100 and 4125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 5*v**2 - v - 10. Let b be x(-5). Let l be (2 + (-8 - b))*-31. Let c(i) = 4*i + 21 - 43 + l. Let a(j) = -j - 2. What is 18*a(t) + 4*c(t)?\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 377819, 1511296, 3400415, 6045170, 9445555, 13601564?\nAnswer: 18513191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -396.3 - -396.7. Sort 4, f, -0.5, -1\/3, 18 in decreasing order.\nAnswer: 18, 4, f, -1\/3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1922993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*s = 34*s - 1395 for s.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-2) + (-45)\/60*-84. Calculate the highest common factor of 6 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000010111000111 - 110?\nAnswer: 10000010111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fwwfwffyyxxffxtxyf. What is prob of sequence xx?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -30256*g. Let a(f) = 40*f**2. Give a(p(u)).\nAnswer: 36617021440*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/10? (a) 0.07 (b) -4\/5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 56430 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -1, -2\/9, 19.8, 16.91 in ascending order.\nAnswer: -1, -2\/9, 2, 4, 16.91, 19.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100201012 (base 3) to base 14.\nAnswer: -2819","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135025 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/10)\/((12\/20)\/(-3))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 84 = 25*c. Let o be 5*c\/6 + 0. What is o rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -12.6, 1\/6, 0, 37\/12 in ascending order.\nAnswer: -12.6, 0, 1\/6, 37\/12, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2896.5893 + 2.7107. Let m = l - 2658. Let o = -228 + m. What is o rounded to zero dps?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16\/13, 7.7, -1, -2\/11?\nAnswer: 16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23015339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4*x - 4*l = -17, 0 = -2*x - 2*l + 12. Sort 6, x, 0, -3 in ascending order.\nAnswer: -3, 0, x, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -322221, -322237, -322253, -322269?\n\"Answer: -16*p - 322205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12*m - 405. Let a be w(34). Solve 0 = -a*n + 2 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.1 (b) -1 (c) 56 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/15 of a hour?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2424393 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 375 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpkpkpnppknz. Give prob of picking 4 p.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/9 (b) 3 (c) -0.03 (d) -1\/5 (e) 18\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = h - 0*h - 143, 4*m + 595 = 5*h. Let a = h - 121. Solve -a*f + 3 + 7 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7099139*k**2*n**2 - 2*k**2*n + 2*k - 56685*n + 20 wrt n.\nAnswer: -14198278*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -851352 = 146*f - 3552644. Does 29 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y**3 + 114*y + 114*y + 87*y - 315*y.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddrdddrd. Give prob of picking 2 d.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -3*x - 24. What is the least common multiple of b(-11) and 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -17*j + 9. Let v(w) = 4*w - 2. Suppose -2*s + 3*r - 3 = 9, -5*r = 3*s + 37. Suppose -5*i - 5*g + 10 = 0, -3*i + 3 = -2*g + 17. Give i*f(c) + s*v(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 15. Suppose -2*p + 7*y - 3*y = -12, 2*p + y - f = 0. Differentiate -20 - 2*r**4 + 30 + r**p with respect to r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 69489034 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 15 + 15)*(4*d - 4*d - 4*d)*(1 + 0 - 2) to p*d + h and give p.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 0)\/(245\/84 - 3). Let b(k) = 2*k**3 - 4*k**2 + 6. Let s be b(5). What is the greatest common factor of s and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1. Let f(y) = 23*y**3 - 23. What is f(u) + 23*k(u)?\nAnswer: 23*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2676\/52405*(-2)\/(16\/5)\nAnswer: -3\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-784)\/1274 + 15\/((-28080)\/(-1854))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*(-3 - 40\/(-12)). Let u = z - -6. Let j = -2.2 - -2. What is the smallest value in 0.1, j, u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11246025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1)*5\/35)\/(111\/777)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/35)\/((-30)\/75)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18\/9289 or -1?\nAnswer: 18\/9289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from sskajesasjoa?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 3 - 5) + (-1931 - -2020)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d**3 + 51*d**2 + 7. Let g(k) = -3*k**3 + 4 - 2*k**3 + 4*k**3 - 2 + 17*k**2. Let v(r) = 7*g(r) - 2*u(r). Find the third derivative of v(l) wrt l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 60764, 121450, 181980, 242276, 302260, 361854, 420980, 479560?\n\"Answer: -13*r**3 + 60777*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -1619364.1?\nAnswer: 323872.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.5. Let f = 22 - 9. Let n = -15 + f. Which is the nearest to n? (a) -0.1 (b) i (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65537, 65672, 65807?\nAnswer: 65942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, 2\/5, -4, 4\/5, -2537, 8, 2\/9?\nAnswer: -2537","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 8*k. Let o = k + 0. Suppose 2*q + 2*i = -4, 2*i - 6*i - 12 = o. Which is the third smallest value? (a) -2\/3 (b) -2\/13 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-10)*681520\/16. Suppose 3410 = i + k, 5*i - 2*k - l = -3*k. Suppose 0 = 6*o - 2647 - i. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15118 is divided by 1566.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 313621 and 1001?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = z + 43, -7 - 30 = 4*s - z. Let u be 5\/s*5*-8. Suppose u*k = 15*k + 745. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/13 - 100*l**4 + 167126*l**3\/13 + 14334380*l**2\/13 + 244825472*l\/13 + 17743040 = 0. What is l?\nAnswer: -35, -26, -1, 356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 497 = -493. Let y(p) = -2*p**2 + 1 - 2 + 3 + p**3 - p. Let z be y(2). Solve z*d = d + s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, q: 2, v: 2, o: 2, w: 2, h: 5}. Give prob of sequence voo.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 359, 3006, 10221, 24290, 47499?\n\"Answer: 381*g**3 - 2*g**2 - 14*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.2446+-10\nAnswer: -14.2446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1794 - 19810\/11. Which is greater: c or -7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7353 is divided by 424?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000010504 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h\/(h*h**(-1\/8)))*h*h**(-5\/3)\/h*(h**(-4\/5)\/h)**(-30\/7) assuming h is positive.\nAnswer: h**(1163\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2944217, -2944155, -2944095, -2944037, -2943981, -2943927, -2943875?\n\"Answer: -w**2 + 65*w - 2944281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**4\/12 + q**3\/6 - 4*q**2. Let l be h(8). Solve 4*c = 1 - l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000225343 to 6 decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2148527 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-642)\/(-14) + 6\/42. What is the second derivative of -58*d**2 + d**3 - 14 + d - 3*d - h*d**2 + 41*d**2 - 55*d**2 wrt d?\nAnswer: 6*d - 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**3 - 3*h**2. Let m(f) = 28*f**2 + 39*f**3 - 54*f**2 + 39*f**2. Calculate 26*a(j) + 6*m(j).\nAnswer: -26*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqqumu. What is prob of picking 1 m and 2 q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13788 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -149, -161, -187, -233, -305, -409, -551?\n\"Answer: -z**3 - z**2 - 2*z - 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2943539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -27431, -1\/36, -7, 4 in descending order.\nAnswer: 4, -1\/36, -7, -27431","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = -2*x + 5*f, 3*x + 5*f = -0*x + 220. Suppose 3*a + 163 = x. Let u = -27 - a. Solve s = -s + u for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -779 greater than or equal to -777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*sqrt(1584)*2 - sqrt(1584)))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**8\/420 + f**6\/120 - 5*f**3\/3 + 7. Let x(j) be the third derivative of z(j). What is the third derivative of x(s) wrt s?\nAnswer: -96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/30)\/((-117)\/30 - -4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than -7\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5.84 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**3 + z**2 - 2*z + 1. Let u be i(1). Let g = 683715 - 365714. Let n be 2\/6 - g\/u. Round n to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*v**3 - 33*v + 33*v + 21082 - 21082.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from didgddvg. What is prob of picking 1 v, 1 i, and 2 d?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2094, -2590, -3086, -3582, -4078?\n\"Answer: -496*g - 1598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4 + 277*k**3 - 4205*k**2 + 7583*k - 3654.\nAnswer: -(k - 261)*(k - 14)*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6133116?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17\/((-1122)\/(-84))*583\/(-159).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times 0.55985?\nAnswer: 27.9925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*j + 16*j + 23*j.\nAnswer: 48*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 106*5\/1060*5*2\/(-2).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1413*c**5 + c**4 - 5*c**3 + 113413*c**2?\nAnswer: 84780*c**2 + 24*c - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 38 - 66. Let k = -23 - a. Suppose -k*x + 12 = -2*x. Let y(j) = j. Give y(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0*i + 3071*i**2 - 4009 + 0*i + 5618 + 6036 wrt i.\nAnswer: 6142*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -227, 2, 1.\nAnswer: -227, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1925*c**2*n*v**2 - 4*c**2 - 28*c*v**2 with respect to n.\nAnswer: 1925*c**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mqqqmycqymqym. What is prob of sequence qq?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-84 - -111) + 1 + -24.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 900 - 895. Which is the nearest to 0? (a) -0.1 (b) v (c) 0.3 (d) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (3\/12 - 4199\/(-76))\/165 and 9\/7?\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 334 and 1440542?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -205044749797\/10740 - -95458399\/5. Let j = -1\/4296 - v. Calculate the common denominator of j and -1\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (660\/(-99))\/((-2)\/18*-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1269*q**3 - 2564*q**3 + 1284*q**3.\nAnswer: -11*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c - 5*c + 3*c)*(2355*c - 2355*c - 105*c**3).\nAnswer: 735*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 67*c + 1814. Let f be s(-27). Let j(q) = q**2 + 2*q - 9. What is j(f)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfyqyqzhqqyzyq. Give prob of sequence fhqy.\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.08 + -56.08. Which is the biggest value? (a) 5\/6 (b) -0.07 (c) s (d) -1 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2, -0.17, 6, 4, -3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 1298955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30078 divided by -10026.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000222 + 2112?\nAnswer: -1221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*k - 1187391 = -41*k. List the prime factors of k.\nAnswer: 3, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 175 divided by -5\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -17 + (8 - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -78*m - 18. Let p be o(-1). Let z = -2 + -4. Calculate the lowest common multiple of p\/18 - (-2)\/z and 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-58.\nAnswer: -1.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5\/3)*d\/d**9)**2\/((d**(-1))**(6\/7))**(-6\/11) assuming d is positive.\nAnswer: d**(-4574\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1120 divided by -56?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6700 + 6705. Which is the second smallest value? (a) 4 (b) -207 (c) i (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from ddduldnllvlndaa?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 8:13 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(396) - (0 + sqrt(396) - sqrt(396))*-6))**2.\nAnswer: 9900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14 and 64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 - 34*k + 21. Calculate s(-17).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 + 339857*m - 169924*m - 169933*m.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 252*r - 94943. Determine h(380).\nAnswer: 817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 888740*0.01.\nAnswer: 8887.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (102*l**2 + 2377*l - 2377*l)*(2*l**2 + 2*l**2 - 2*l**2) - 5 + 5 + l**4 - 2*l**2 in the form r*l + d*l**4 + g*l**2 + n*l**3 + h and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 57596 and 57938 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - -2)) + (-4 - -3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -393.9985 + 394. Let x = n - 0.001899. Round x to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/42)\/(52\/(-56)*2).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 8 - 0. Suppose -5*w + 16 = 2*h + 2, -2*h + k*w + 42 = 0. Let l = h + 6. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14.54 + 14. Let o = 0.77 + c. Let s = o + -0.45. What is s rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 17 and 1311.\nAnswer: 1328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 20, 4*r - 4*g - 13 = 3. Suppose 19*t - 7960 - 2395 = r. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -49 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7034363*g**3 + 7034521*g**3 - 14069058*g**3.\nAnswer: -174*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = w - 1. Let g = -2 - w. Suppose g*j - 11 = -3, 5*q - 9 = 3*j. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.3 (c) 135.86 (d) 6 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -574*v = -214*v - 14710 + 5350 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15722 - -10941. List the prime factors of q.\nAnswer: 7, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 27*o**2 - 183*o + 30. What is q(15)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 12*i + 103. Let x be j(-18). Let z be 24*(0 + (0 - (-10)\/(-15))). Which is smaller: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-18 - (23 - 45))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3870\/430)\/(14\/((-168)\/(-90))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 38*v - 392 = 0. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - sqrt(98)*-2)**2 + sqrt(8)\/sqrt(36).\nAnswer: sqrt(2)\/3 + 882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 92.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-90)\/(-945) - 80\/(-42). Solve r*w - 2*l + 4 = 0, 2*l - 1 = -2*w + w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 645659, 645772, 645881, 645986, 646087, 646184, 646277?\n\"Answer: -2*n**2 + 119*n + 645542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 2*q - 40, 34*q + 3*t = -46*q + 77*q + 36 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6153.\nAnswer: 3, 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63, -203, -459, -843, -1367, -2043, -2883, -3899?\n\"Answer: -2*d**3 - 46*d**2 + 12*d - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4082790684?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -52*d + 46*d - 45*d - 43*d. Let z be q(1). Round z to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s + 82. Give m(9).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 45*g - 1294963 = -41*g, -2*o + 863307 = -g. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.55 + -0.27. Let o = y + -0.17. Round o to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 214 and 3608789?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + u**2 + 3 - 2*u**2 - 432*u - 6219 + 6219 + 0*u**2 - 3*u**2 + u**2 + 0*u**2 - 2*u**2 + 4*u**2 + (5*u - 6*u - u)*(0*u + 3*u - u).\nAnswer: -5*u**2 - 432*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1076852196?\nAnswer: 2, 3, 7, 613, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8708261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33616 + 32?\nAnswer: 33648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/12179520 and 61\/18?\nAnswer: 12179520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9227969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 3*m - 110, 3*m - 7*m = 5*g - 110. What is the greatest common factor of 385 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -8*l**2 - 6*l + 21. Let c(y) = 17*y**2 + 13*y - 41. Suppose -24*n - 16*n + 189 = -331. Determine n*r(p) + 6*c(p).\nAnswer: -2*p**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24581\/16 + -1532. Find the common denominator of r and 14\/(-49) - (5 + (-126895)\/23100).\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t**3 - 3*t**2 + 5*t + 7. Let z(m) = 23*m**3 + 9*m**2 - 16*m - 22. Give -7*d(v) - 2*z(v).\nAnswer: 3*v**3 + 3*v**2 - 3*v - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 161 = 155. Let u(r) = r + 1. Let x(h) = -2*h - 1. Let a = 0 - 5. Give a*u(c) + n*x(c).\nAnswer: -c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/5, 68, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -17.7218+16911\nAnswer: 16893.2782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, n: 2, m: 2, y: 2}. What is prob of sequence nyuy?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.3 times -2299?\nAnswer: 9885.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 89151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -20. Suppose -h = 4*w - 29. Solve 5*r = -5*v - 3 - 2, -w*r + 4*v - 41 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 2*p**2 + p + 1. Let y(z) = -z - 3. Let j be y(-6). Suppose 0*w + 9 = j*w. What is h(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 760 - 759. Is j <= 7\/72?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -4, -1\/3, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggykukgkku. What is prob of sequence uu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, g: 5, c: 1, h: 3, k: 2, p: 1}. What is prob of picking 3 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.609 less than -4.7795442?\nAnswer: -55.3885442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - ((-6)\/2 + 0). Suppose -j*g = 180 + 65. Is (g\/(-4))\/(3\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 8 - 16*p + 8 + 54 + 18*p. Let o be g(-11). What is the greatest common divisor of o and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/7 + (-164)\/7. Let u = 3 - b. What is the remainder when 49 is divided by u?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4dcc (base 14) in base 16?\nAnswer: -3588","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of 0 - 1\/24*k**4 + k + 0*k**2 - 1\/6*k**3. Factor o(a).\nAnswer: -a*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - m = -2*m - 9, 4*b = m - 6. Let u(c) = -c**2 - 1. Let w(d) = d - 4. What is b*u(v) + w(v)?\nAnswer: 3*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-60)\/35)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92302199 to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 78 - 22 + 10*p + p**2 - 21 - 4 - 12. Calculate x(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 6*o)*(-o**2 + 2 - 2) - 4*o**3 + 4 - 4.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 0*a + 360. Let o = -95 + a. What is the hundreds digit of (0\/(-2) - (-6 - o)) + 139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 618 = 14*s, -4328865 = -3*s + 3*b - 4329006 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 422 is divided by (-6)\/((-222)\/630 + 20\/70)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18858 divided by 952?\nAnswer: -1347\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163830 is divided by 1280.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-18)*12\/160*-4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 117*p**2 + 4*p + 9. Let b(c) = 233*c**2 + 7*c + 18. Let f(u) = 6*b(u) - 11*l(u). Suppose -8*x + 6*x = -8. Is f(x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 2, k: 2}. What is prob of sequence fok?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b**3 - b**2 - 5*b - 7. Let s(v) = -7*v**3 + 3*v + 5. Let z(q) = 3*d(q) + 4*s(q). Calculate z(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -249, -9, -0.5, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5069 + -30?\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)*b*b)**40)**(-21))**(-2\/49) assuming b is positive.\nAnswer: b**(240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103682 + -725806\/7. Let d be (-3)\/(3\/2) + -7. Calculate the common denominator of v and 8\/3*d\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 159935, 159915, 159881, 159833, 159771?\nAnswer: 159695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25987*k**2*x**3 + 51*k**2*x**2 + 58213*k**2*x + 4*k*x**3 - 59*x**3 wrt x.\nAnswer: 155922*k**2 + 24*k - 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -231, -520, -925?\nAnswer: -1446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -116978951*a**2*i**3*w**3 + 4402*a**2*i*w**2 - 93*a**2*i*w - 3*a**2*w**3 + 83*a*i**3*w**2 wrt w.\nAnswer: -701873706*a**2*i**3 - 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -110 (c) 41 (d) -0.6 (e) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 930 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 274 or -0.0556?\nAnswer: 274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 9 = -0*v - 3*v, -5*o - 3*v = -3. Let q(w) = w + 2*w - 2*w**2 + 46 - w**2 - 44. Give q(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.4 + 19.5. Which is the closest to 0? (a) 1\/2 (b) -3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 183346602 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 161*p = -164*p - 1095, 4*f = -3*p + 1137. Solve f*n - 278*n + 5 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.011*-26.5.\nAnswer: 26.7915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10234030121 - -2?\nAnswer: -10234030114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31853\/28 - 1138. Find the common denominator of q and 45\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*k = -n - 2, -8 = -4*n + 4*k. Let j be (1 + 292\/20)\/(n\/5). Suppose 2*z - j = 87. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -368*g**3 + 2*g**2 + 5*g + 3. Is 16 a factor of k(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21320 = 5579*p - 5046*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/212*-8*3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t - 4. Let f = -33 - -30. Let j(n) be the second derivative of -7*n**3\/6 - 7*n**2\/2 - n. What is f*j(l) + 5*g(l)?\nAnswer: l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22334*d**3 - 33165*d**3 - 34767*d**3.\nAnswer: -45598*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -6828.186294 to the nearest one hundred.\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + ((-304819)\/(-87))\/23 + (-7 - 140\/(-21)).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 3:13 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 - (-8 - -9). Let q be ((-2)\/2 - -3) + t. Let l be 47 + (-5)\/1 + q. What is the highest common factor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from bkkjwhjfjkkkbhhkkj?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 2200 to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 2*a + 5219 - 5179, 3*j - 2*a - 80 = 0 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-1 + (-18)\/(-7))) + -64 + (-8800)\/(-112).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2334*d**2*i*k - 4*d*i - 2*d*k - 288*i*k wrt d.\nAnswer: 4668*i*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 162 and 18.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 123, -4, 22, 0 in increasing order.\nAnswer: -4, 0, 22, 28, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10}. Give prob of sequence uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/2 + 103*g**4 + 6324*g**3 - 7688*g**2 + 7*g + 65. Factor t(r).\nAnswer: 2*(r + 62)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -7 (b) -925 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1086?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119599710?\nAnswer: 2, 3, 5, 127, 31391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2582 divided by 69905?\nAnswer: 2582\/69905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x + 5*p - 8, -5*x - p + 12 = 0. Which is the biggest value? (a) x (b) -21 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.256 minus 2?\nAnswer: -16.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 7)*7360\/(-15). Let v = -926 - c. Is 78 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5*(-13)\/585*-63. Solve -4*c = p, f*c = 3*p + 6*c for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, q: 2, i: 1, y: 2, d: 1, n: 1}. What is prob of picking 1 q, 1 e, and 1 d?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 - 14*o**2 - o - 4. Let r be q(14). What are the prime factors of -195*2*3\/r?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10212001 + 11?\nAnswer: 10212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -37\/2, -2.2?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - (27 + -35 - (-6 - 2) - (12 - 25))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 2.4. Let g = -1.99999993 - i. What is g rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5\/(r**(-3\/8)\/r) assuming r is positive.\nAnswer: r**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 951504317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 7 (c) 0.045 (d) -2 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.018556369 + -0.358611.\nAnswer: -0.340054631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 7*h = -v - 18, 12 = 5*h + v for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 564069.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -357, -672, -983, -1290, -1593, -1892, -2187?\nAnswer: -2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:04 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 40 (d) -185\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 11*l**2 - 7*l - 12. Let h = -33 + 42. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -111 + 212 - 12*n - 107 to b*n + j and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 110110100110001000 (base 2) in base 16?\nAnswer: 36988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y - 10. Let z(a) = -a**3 - 11*a**2 - 9*a + 6. Let r be z(y). Is 11 a factor of (-8)\/(-16) + (-194)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*n**5 + 1982*n**4\/5 + 9300*n**3 + 3704*n**2 - 9292*n - 20502\/5 = 0. What is n?\nAnswer: -17, -1, -9\/20, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 - -21. Let q = -272 + 268. Let h = -17 - -17.07. Which is the nearest to h? (a) v (b) q (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-2)*(-8 - (-333)\/45). Determine c, given that -1\/2*c**4 + 0 + 0*c + 0*c**2 + c**i = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*y - 28 = -2*y - 36*y, 3*y + 20 = 26*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -0.21774, 157.2, 4?\nAnswer: -0.21774","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(700) + 0)**2 + -5 + -1 + (sqrt(700)*-4 + -1)**2 + sqrt(700).\nAnswer: 90*sqrt(7) + 11893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75 (b) -1\/9 (c) -4 (d) -2 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8248004627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of o**4\/4 - 14*o**3\/3 - o**2 + 31*o - 51. Let m be j(14). Suppose m*h - 140 = -0*h + s, 4*s = 16. Does 24 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 982b37 (base 13) to base 6.\nAnswer: 204353304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 3, 6 in increasing order.\nAnswer: -5, -2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/767?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-25) - 3\/(-5). Suppose -10 = -3*g - 2*b - 272, 5*g = b - 415. Let a be (-8)\/g*(-3)\/(-6). Which is bigger: w or a?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3030 + -3026. Suppose 4*s - 16 = 3*b - 4*b, -2*s + 64 = 4*b. Differentiate b*i - t*i + 6*i - 4 with respect to i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210*y + 14*y = 96*y + 2044 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = 5*d - 15, 5*d - 15 = 33*u - 28*u for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13008?\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3643a (base 15) to base 3.\nAnswer: 22210102101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 420444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b\/b**8*b)*b**17)**(-2\/3) assuming b is positive.\nAnswer: b**(-46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 7:28 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/21 - 92*n**2\/21 - 1240*n\/21 - 5200\/21.\nAnswer: -2*(n + 10)**2*(n + 26)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 780, 2, -8, 1 in ascending order.\nAnswer: -8, 1, 2, 780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3673.4 - 3246. Let u = y - 482. What is u rounded to 0 decimal places?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -2*z + 3. Let p = z - 0. Solve -2 = y - p for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172076.\nAnswer: 2, 43019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -14. Calculate the highest common factor of 54 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175 and 10147500?\nAnswer: 71032500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 8*d + 5. Let p be j(-9). Let f = 19 - p. Suppose 3*l + 108 = f*l. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -201252000 divided by 100626000\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153516704.\nAnswer: 2, 11, 436127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ynylllnlnlfyflalll. Give prob of picking 1 y, 1 a, and 1 n.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbkkbzbbbbbbz. Give prob of picking 1 b and 1 z.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8337*i**3*t**5 + 26*i**3*t**2 + 528*i**3 - 729*i**2*t wrt t?\nAnswer: -166740*i**3*t**3 + 52*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -343805060.1662 and -14.\nAnswer: -343805074.1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -w + 157214*w**2 + 431*w**6 + 2*w - 157247*w**2 wrt w?\nAnswer: 51720*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -360984078.1 rounded to the nearest 1000000?\nAnswer: -361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1665.06 and 159.9.\nAnswer: 266243.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 237*v + 121*v - v**4 - 441*v + 4 as p + d*v**4 + a*v**2 + f*v + g*v**3 and give f.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) + 6*(sqrt(612) + -1) - (sqrt(612) + -1)*3)**2.\nAnswer: -144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 1\/24*s**4 + 0 + 0*s + 2*s**2 + 0*s**3. Let n(g) be the first derivative of -7*g**2\/2 + 343. Give l(n(k)).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1137660 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 2\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49 + 66.6. Let q = 17.8 - g. Which is the third smallest value? (a) q (b) -17 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3806 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 180bc8 (base 16) to base 13.\nAnswer: 432397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283271 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 19 = l + r, -31 = -5*l - 3*r. Suppose 0 = -5*u - 2*m + 160, -3*u + u - 4*m = -64. Calculate the highest common factor of l and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 2.03, 136, -14, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 49, 105, 183, 283, 405?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/12 - 7\/42. Put 3, x, -5, 4 in decreasing order.\nAnswer: 4, 3, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*y - 12, -2*h + y = -h - 9. Suppose 10*g + 4*x - 372 = h*g, -g = -2*x - 66. Is 17 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321624 is divided by 125.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 - 18*b**2 - 21*b**2 + (2 - 2 - 2*b)*(b - 5*b + 5*b) to s + n*b + h*b**2 and give h.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**5\/5 + 3948*q**4\/5 - 947064*q**3\/5 - 23270872*q**2\/5 + 915203916*q + 30082601340 = 0. Calculate q.\nAnswer: -43, 83, 495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) -9 (c) -5.18 (d) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 404 and 12322?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14.626 + 13.926. Which is smaller: m or 548?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a - 32 = 0. Let h(o) = -o**3 - 8*o**2 + 2*o + 10. Let m be h(a). Is (-464)\/m + 5\/(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, 10, 4, 108 in ascending order.\nAnswer: -1, 1, 3, 4, 10, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.1, -0.05, 1635 in descending order.\nAnswer: 1635, 0.1, -0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*b - 3*x + 3, 3*b + x = 0. Let f be 4\/(b\/(-1) + 1). Factor -w + 4 + w**f + w - 4*w.\nAnswer: (w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = b - 4*b - 3*m, -3*m = 12. Suppose 49*g + 5*i + 105 = 54*g, 0 = 4*g + b*i - 105. What is the greatest common divisor of 56 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 5*c - 4. Let w be y(-1). Suppose 3*m = -2*m + 35. Let z be w + (m + -3 - 2). Solve 0 = -2*f - z*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 256 = -3*i. Calculate the common denominator of ((-3)\/(-6))\/(16\/i) and 133\/(-6) + (6 - (8 + 1)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 638897505 and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34 * -782348.\nAnswer: 26599832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180 - 445 = -5*l. Suppose -14 - 136 = -2*m. Calculate the greatest common factor of l and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3 + 7*y**2 - y**3 - 9*y + 0*y - 7*y - 10 + 48. Give p(6).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -2. Let l be ((-88)\/10)\/((-62)\/(-465)). Let a = 77 + l. What is the lowest common multiple of a and s?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.54974692 rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -28*d - 13. Let t be n(-2). Let r = t + 6. Does 29 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 1. Let i = -5475 - -5479. Let o(w) = -w - 8. Give i*n(d) - o(d).\nAnswer: -3*d + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4177 + -1883. What are the prime factors of k?\nAnswer: 2, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 27*y**2 - 27*y + 11. What is the remainder when 8213 is divided by w(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (103\/206)\/((-14)\/12)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 153 and 169533.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 22*x. Let u(c) be the second derivative of -c**4\/12 + 7*c. Give u(a(q)).\nAnswer: -484*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164*n**2*u**3 + 13*n**2*u**2 - 5*n**2 - 32*n*u**3 + 15*n*u**2 - 3*u**2 wrt u?\nAnswer: -984*n**2 - 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 9445 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-248 - -199)*(-2)\/14\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 723*h + 17115 = 138*h + 34022 + 21118 for h.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1608 - 38*c**3 - 542 - 542 - 524.\nAnswer: -38*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 33665.\nAnswer: -4\/33665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14*b + 3. Let w(c) = 12*c - 1. Let g(m) = -2*a(m) - 3*w(m). Let k = -9 - -2. Is g(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241279.1 rounded to the nearest one thousand?\nAnswer: 241000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*g, -4*g - 11 = -3*v - 0*g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 less than 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952018.\nAnswer: 2, 476009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -5*u - 8, 291*b - 290*b - 8 = u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 10:31 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 367840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fcf when three letters picked without replacement from fmffcfacaaaafffafc.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/45 and -57\/16760?\nAnswer: 150840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 10:22 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4)*c**6*((c**(-6)\/c)\/c)\/((c*c**(-2\/35)*c)\/c) assuming c is positive.\nAnswer: c**(-243\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6462611789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a factor of 1198267458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 164, 362, 560, 758, 956, 1154?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 40 + -13. Suppose 27 = k - 51. What is the remainder when k is divided by t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*y - 2*t - 16, -2*t = -y + 6 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685*q - 688*q = -2*i + 19, -3*i = 8 + 4 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 63916 - 575903\/9. Let u = n - -6221\/90. Calculate the common denominator of u and 11\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713*x**5 - 546*x**2 + x.\nAnswer: -42780*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-8) + 24\/96. Solve -3*a = u*d - 7, -5*a = -a + 4*d - 16 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(1458) + -5*(sqrt(1458) + 2*sqrt(1458)))\/((sqrt(300)\/(sqrt(10) + sqrt(10) + sqrt(160)))\/sqrt(5)*-6).\nAnswer: 225*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-72)\/20 - -1)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 5*a + 1. Suppose 0 = k + 26 - 22. Let w be f(k). Let y(j) = 15*j + 5. Let i be y(w). What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 a factor of 3473799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 15*w = 17*w - 1655, 15 = -3*w. What are the prime factors of x?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 1, h: 2, p: 1, a: 2, x: 1}. Give prob of sequence ggh.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 + -0.39. Let m = -1.99 - f. Let l = 1 + m. Which is the second biggest value? (a) 2\/7 (b) -2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186c37c (base 14) to base 6.\nAnswer: 1111133054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**5\/300 - c**4\/20 + 14*c**2 + c. Factor a(k).\nAnswer: -k*(k + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, 0.1, -0.322, -164, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of -3\/2*s**2 + 1\/3*s**3 - s + 1\/8*s**4 + 0. Let g(b) be the first derivative of u(b). What is g(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-6)*(-2)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 261.8356mm?\nAnswer: 0.2618356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 4\/1437, 2\/7, -111\/8, -0.4, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44532\/(-40)*2\/(-154). Let l = -422\/55 + p. Find the common denominator of ((-5)\/((-45)\/(-6)))\/(32\/294) and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 76.0644 - 0.3444. What is p rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 3*u = -4*w - 90, -62*u = -62*u - 6*w - 138 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 - 6*h. Suppose 0 = -2*d - j + 5, -7 = -d + 4*j - 3*j. Let y(i) = 7*i**2 - 7*i. Give d*y(l) - 5*o(l).\nAnswer: -2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.949 + -0.051. Let v = o + 18.7. Let l = v - -4.2. What is the closest to l in -5, -4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -0.28, 330, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*w - 22*w - 12. Suppose 2*i + i - w = 0. Let j(q) = -4*q**2 - 2 + 23*q**2 + q**3 - 7*q**2 + 5*q - 5*q**i. What is j(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-2) + -5)*0. Solve -3*p + 26 - 9 = -4*c, b = -4*p + 12 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 5*a + 7. Let f(p) = 3*p + 7. Let h be f(-4). Give j(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2195 to 1 decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*u - 65*u - 20. Let a(y) = y**3 + 6*y**2 + 6*y + 7. Let g(r) = -89*r**2 + 44*r**2 - 5*r - r**3 + 40*r**2 - 6. Determine u*a(m) - 6*g(m).\nAnswer: m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 6. Let i be g(5). Let d(t) = -25*t + 2*t**2 - 11 + 10*t + 4*t. Let h be d(6). Put i, 2, h in descending order.\nAnswer: 2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -116 and -43.\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30414 is divided by 15173?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x - 151*x**3 + 79*x**3 + 70*x**3 + 18*x**2 to z + g*x**3 + t*x**2 + p*x and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 608508 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 1 + y**2 - 1. Suppose -121 - 223 = 172*x. Calculate o(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 20 = 2*u + v, 20*u + 40 = 24*u + 6*v for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (166\/1577 + (-1716310)\/19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62*d**2*j*y + 5*d**2 + d*j**2*y + 48*d*j**2 - 4*j**2*y wrt y.\nAnswer: -62*d**2*j + d*j**2 - 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 + 9*q - 18. Let v be l(2). Suppose 7 = -y + 10. What is the second derivative of y*m**5 - 14*m**5 + v*m + 5*m**5 wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 5*f - 55, -3*b - 3*f + 13 = -4*f. Calculate the greatest common divisor of b and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 3*r**2 + 19*r - 89. Let q be w(5). Suppose c = 5*c - 1120. What is the greatest common divisor of q and c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjajjjjjaajjjjg. What is prob of sequence ja?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5534195.\nAnswer: 5, 1106839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -78 - -150. What is the remainder when c is divided by 36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66731 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**6\/120 - 2*u**5\/15 - 7*u**4\/24 - 7*u**3\/6 - u**2. Suppose 0 = 2*r - 0*r - 18. What is the units digit of x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/((-1168)\/146) + (-219)\/(-3)*1?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116444425 is divided by 194.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 632.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-61)\/305?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x - 84. Calculate the remainder when 76 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**5\/2 - 6*k**4 - 6*k**3 + 3*k**2 + 15*k\/2 + 3 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*f - 13*f - 16*f.\nAnswer: 36*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -2*w - 8, 4*w - r - r = 0. Let g(i) = 5*i**3 + i**2 - 5*i + 0*i - 6*i**2. Let h(u) = -4*u**3 + 4*u**2 + 4*u. What is w*g(a) + 3*h(a)?\nAnswer: -2*a**3 + 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 825 - 825 - 2055*d**2 - 4672*d**2.\nAnswer: -6727*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 420845533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1285.\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -1280\/3*n**3 + 0*n - 49*n**5 + 0*n**2 - 29 + 280*n**4. Factor f(p).\nAnswer: -5*p**2*(7*p - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101321 + 2100?\nAnswer: 110021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**3 + 4*g**2 - 3*g. Let u be c(2). Let o = u - 22. What is the remainder when o is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + 4*s + 28, -4*x + 2*s - 20 = 4*s for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2660.68054 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 4058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*r**5\/5 + 238*r**4\/5 + 676*r**3\/5 + 134*r**2\/5 - 1168*r\/5 + 96\/5 = 0.\nAnswer: -4, -3, 1\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 245 - 225 = 2*i, -3*z = -21*i - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 78?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9525 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 greater than or equal to -33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-136)\/51 - (-3 - (-10)\/3). Sort u, -27, 1, -4 in descending order.\nAnswer: 1, u, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/35 or -10\/7?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 36. Let y = 41 + x. Let n be (-4)\/6*2\/6. What is the nearest to 2\/5 in y, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 25. Let k be l(-8). Suppose -2925 = -k*q + 2*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -k + 12, 3*k - h = 3*h - 2. Suppose -5*x - 95 = k*v, -177 - 46 = 4*v - x. Let j = 90 + v. Calculate the remainder when j is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 10:30 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-15)\/30*11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4 = -0*u. Find the third derivative of -3*b**5 - u*b**3 + 2*b**3 - 2*b**2 + 0*b**3 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 0*r - 6*r)*(-172*r**2 + 4041 - 4041).\nAnswer: 1376*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 times -142\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtqbbtqbbt. What is prob of picking 2 t and 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - j + 0)*(-2 + 2 + j) - 5*j**2 - j**2 + 5*j**2 + 2*j - 2*j**2 + 0*j**2 + j**2.\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 534 + -533. Which is the second smallest value? (a) -0.5 (b) l (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (783\/(-45))\/1*110\/(-66)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 3*j = -60. Suppose 0 = 16*d - 10*d - 186. What is the remainder when j is divided by d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475203 is divided by 2036.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d - 177. Let y(s) = -33*s - 1475. Let l(r) = 50*t(r) - 6*y(r). Let i(p) = 13*p. Calculate i(l(m)).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247471 is divided by 49270.\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 12. Let i = 1 + b. Suppose -431 + 343 = -11*j. Calculate the remainder when i is divided by j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 116, -1, -2, -7, -0.19?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7276493758 - -7276493841.99999953. Let o = g + -84. What is o rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 687914.\nAnswer: 3\/687914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18446161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -454 + 453.8584. Round k to three decimal places.\nAnswer: -0.142","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -16603*m**3 - 3*m**2 - 6*m - 6. Let w(l) = -5*l**3 + l**2 + 2*l + 2. Determine t(z) + 3*w(z).\nAnswer: -16618*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 44.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-33))\/o*o*o)\/(o\/(o*o\/o**(-3\/10))))**(-4) assuming o is positive.\nAnswer: o**(-726\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 7*i = 2*i - 59, 2*a - 4*i = 40. Suppose b = -5 + a. Suppose -g + b = -14. What is the highest common divisor of g and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10601, 42473, 95591, 169955, 265565, 382421?\nAnswer: 520523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3260 (base 12) to base 13\nAnswer: 26a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6 - o - 9 + 4. Let x be (-4)\/2*4\/(-8)*(-350)\/50. Determine l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/4*(-2)\/(-40)*8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 3*a + 6, 31*a - 26*a + 10 = 4*p. Let v = -3 + 6. Let p - 4\/3*q**2 + 1\/3*q**v + 4\/3*q = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 24\/(-4)*(-9)\/6. Suppose 11*s = a*s + 10. Solve s*x + 12 = -3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/18*-3*(3 - 3). Let b(p) be the second derivative of 2*p + 0*p**4 + 0*p**2 + c - 1\/6*p**3 - 1\/5*p**5. Find the second derivative of b(d) wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o. Suppose -5*b + 1 + 9 = 0. Let n = -5 + 20. Let l(i) = 2*i - 4*i**2 + 15 - n. Give b*r(x) + l(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -0.4 (b) -1 (c) -2 (d) -3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -123 + 127. What is the third derivative of 0*f**3 + z*f**2 + 11*f**2 + 2*f**3 - 4*f**4 - 3*f**2 wrt f?\nAnswer: -96*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -4*w - 20. Let z(b) = -15*b - 100. Let u be z(-7). Let d be (1 - 0)*(7 - u). Solve 2*m - 4*k = -18 + 4, 19 = -d*m + w*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008331 to four decimal places.\nAnswer: -0.0083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*d + 3*d. Find the third derivative of -u**2 + 4*u**d + 3*u**6 - 7*u**6 wrt u.\nAnswer: -480*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(26)\/sqrt(2) + (sqrt(52)*-1)\/sqrt(4) + sqrt(13) - (sqrt(832) - (sqrt(832) - (sqrt(832) + -3 + sqrt(832) + sqrt(832) + 0))))**2*-5.\nAnswer: -34405 - 460*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 + 5863*y - 312919*y**2 - 5863*y.\nAnswer: -312919*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1022 is divided by 1014.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*x + 18 + 1 = 0, -10 = 2*x. Calculate the highest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 11:49 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 339, 1, 2 in decreasing order.\nAnswer: 339, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 53*z - 1135 - 144. Calculate the remainder when 6\/144*4 - 3130\/(-12) is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7506 is divided by 113?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1098 = -907*w + 4413 - 21160 - 6644 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of 553*m**5\/60 + 17*m**4\/8 + 3*m**3\/2 + 40*m**2. Is o(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*d + 161 + 11 = 0, 0 = 3*u - 4*d - 129. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1040 (base 5) to base 6.\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244 + 330 = 9*z + 5*c, -5*c + 5 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13252730 + 1?\nAnswer: 13252731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 224 is divided by 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 4. Let q(o) = o**3 + 5*o**2 + 1. Let c be q(-5). Solve j + c = -2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**3 - 2*h**2 - 17*h**3 + 28*h**3 + h**2 - h**2 + 48*h as v*h**3 + y*h + m*h**2 + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*k**5 + 5*k**5 + 70*k**2 + 4*k**4 + 4*k**5 - 15*k**6 + 3*k**6 wrt k?\nAnswer: -1440*k**3 + 96*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4116.828 micrometers to millimeters.\nAnswer: 4.116828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 260118?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 97*l - 18. Let j be g(-69). Is -2846 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -380380?\nAnswer: -380375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2*-228\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -4, -189?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1013514232, -1013514233, -1013514234, -1013514235, -1013514236, -1013514237?\n\"Answer: -v - 1013514231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v**2. Let o(r) = -21305584*r**2. Calculate o(n(x)).\nAnswer: -532639600*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*w**3 - 745*w**3 + 59*w**3 - 283*w**3.\nAnswer: -908*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 35a9d2 (base 14) in base 6?\nAnswer: 103155032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 11*j + 14. Let f be y(-10). Let l = -20 + 28. Suppose -d = -f - l. Solve 4*t = 3*m + 11 + 18, d = -4*m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 7*g + 30. Let d(q) = -q**3 - 6*q**2 - 3*q + 11. Let n be d(g). Sort 27, -1, n in increasing order.\nAnswer: -1, n, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 5*o**2 - 3*o - 2. Suppose -w - 5*a = 1, 0 = 4*w - 3*a - 10 - 9. Let v be d(w). Which is smaller: 10\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*w - 1251 + 6723 = 0 for w.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 760222358 and 2254?\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 + 26. Suppose -x + h + 2*h - 12 = 0, 0 = 4*x - 2*h + l. Suppose x = 2*c + 14 - 4. Which is bigger: -6 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000030225 rounded to seven dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 60635542, 121271077, 181906614, 242542153, 303177694?\n\"Answer: s**2 + 60635532*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-320)\/(-75))\/(8\/(-20))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**3 - 9*v**2 - 4*v + 9. Let w(l) = 13*l**3 + 10*l**3 + 3 - 22*l**3 - 3*l**2 - l. Let j(q) = -2*s(q) + 7*w(q). Factor j(y).\nAnswer: -(y - 1)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 830150234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of 0 + 0*t**2 - 1\/21*t**7 + 0*t**6 + 0*t**5 - 32\/3*t**3 - 229*t + 5\/4*t**4. What is the second derivative of i(v) wrt v?\nAnswer: -40*v**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -20*z**3 - 14*z**2 + 12*z + 8. Let v(i) = 7*i**3 + 5*i**2 - 4*i - 3. Let t(k) = 6*q(k) + 17*v(k). Calculate t(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**3 - 1032664*b**2 + 15489538*b - 14456876 = 0. What is b?\nAnswer: 1, 14, 516317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*w**5 + 13*w**5 - 14*w**2 - 17*w**5 wrt w.\nAnswer: -780*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2294165?\nAnswer: 5, 463, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14483, 29097, 43889, 58949, 74367, 90233?\n\"Answer: 15*w**3 - w**2 + 14512*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 2. Suppose -t + 4 = 3*n + 2*q, -4 = n + 3*q. Suppose -n*z = -0*z - 86. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -471532 * -4\nAnswer: 1886128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2006668625 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: Which is the fourth smallest value? (a) 13 (b) 1.573 (c) -115 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3*x + 639761*o**2*x + 19*o*x + 38*x - 691844 with respect to o.\nAnswer: -6*o**2*x + 1279522*o*x + 19*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*u + 32*u - 19*u + 6140196*u**2 - 6140210*u**2.\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(1*-10) - (-49062)\/185. Suppose 261*r - h*r = -100. What is the remainder when r is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 2, 51, -10 in descending order.\nAnswer: 51, 5, 2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 24*n**2 + 11*n - 165. Calculate b(6).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*2 + (-2)\/(-2). Let o(g) = -4*g + f*g**3 - 2 - 2*g**3 + 8 - 5*g**2. What is the remainder when 52 is divided by o(6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -4. Suppose -q*n + 369 = n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -142, 1488, 5152, 11528?\nAnswer: 21294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2596\nAnswer: -1\/1298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -4.9, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g. Let q(s) be the second derivative of -7*s**3\/6 + 18*s. Determine q(f(r)).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1411693*m**3*t**2*w + 205968*m**3*t - 7*m*t + 2*m - t**2 - 2*t wrt w.\nAnswer: -1411693*m**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.25 + 18.7. Let w = s + 1.59. Let r be (-17)\/(-35) - (-4)\/(-14). Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -49309514 divided by 5234\nAnswer: -9421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 31. Calculate t(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g + 58743 = 58050 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - (10 - 3) - -22. Let q(s) = 4*s - 11*s + l*s + 5. Is q(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 3 + 23*f**3 + 9 + 1 - 9 to the form d*f + i + p*f**2 + q*f**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*-1*(-5 - 636) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 111 - -52. Suppose 7*n - x + 30 = 0. Suppose n = o + 18. Which is smaller: o or 1\/35?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n - 4. Suppose -23*o = -16*o - 28. Suppose 9*d - o*d = 10. Let y(b) = -b + 2. Give d*i(z) + 5*y(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5343*v - 11392*v + 4573*v.\nAnswer: -12162*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -358640207984 and 732.\nAnswer: -358640207252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 - 491 + 117 + 183 + 189.\nAnswer: 10*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291326*z**4 - 4*z**2 - 187*z - 1 wrt z?\nAnswer: 6991824*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -317*c**3 + 69*c**2 - 80*c**3 + 12*c**3 - 27*c**2 + 6*c wrt c.\nAnswer: -2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 10*k - 230. Let u(b) = -2*b + 46. Give -14*u(q) - 3*x(q).\nAnswer: -2*q + 46","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -180*q - 19 + 235 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/28*((-1404)\/(-81))\/(-13)?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -79*v - 6779 wrt v?\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7614 is divided by 289?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -11*g + 15010*b - 15012*b, g + b = -4 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 1 = -n, n = -3*h + 2*h + 7. Solve -3*f + 4*f = -n for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 28, -28, -15, -2 in ascending order.\nAnswer: -28, -15, -4, -3, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1866 and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 34.033239804+37\nAnswer: 71.033239804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 11*l - 3. Does 17 divide (1\/l)\/(15\/510)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-178)\/(-6) + 0 - 16\/24. Let p be (f + 1)*180\/4650. Is p != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -9*r**2 - 1188*r - 206. Determine q(-134).\nAnswer: -2618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13286 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*c + 7*c**2 + 8*c + 3)*(-22 + 10 - 5) + c + 3*c**2 - c.\nAnswer: -116*c**2 - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -5 - 5)\/(-5).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/(l\/l**4)))\/l**(2\/17))**(2\/85)*(l**7\/l)\/(l\/(l\/l**(-4\/3))*l)*l**7\/l**(5\/3) assuming l is positive.\nAnswer: l**(10031\/867)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 176*d - 123*d + 197*d. Let u be s(-6). What is u rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -1583.68?\nAnswer: -28506.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 4, c: 7, m: 3, s: 3}. What is prob of sequence cmc?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 50436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 265 = -8*r. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.8790663 rounded to 3 dps?\nAnswer: -9.879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 3445 in decreasing order.\nAnswer: 3445, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1388184 divided by -6\nAnswer: 231364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 619049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -1.5. Let k = w + 5. What is the third biggest value in k, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2524*d**2 + 18*d**3 - d**6 - 18*d**3 + 3162*d**2 - 81*d**4 wrt d?\nAnswer: -120*d**3 - 1944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*(-72)\/(-42)*((-1938)\/95 - -19).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.3 + 2.1. Round o to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4093 + 3936. Is u smaller than -157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**4 + 3*k**4 + k**4)*(1057 - 1057 - 190*k).\nAnswer: -190*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 29723202.4 and 4.\nAnswer: 29723206.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 88. Let d = -432 + 459. Let o be u(d). Solve 0 = l - 5, -l + 1 = -g - o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 4 = -5*p. Suppose -p*h + 4*n = -170, 106 = 3*h - 5*n - 151. Let o = 180 - h. What is the greatest common divisor of 13 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.7 + -10.7. Which is the closest to f? (a) -0.3 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 c when two letters picked without replacement from ccxyex.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -m + 37178, -25*i + 28*i - 37190 = 2*m. Calculate the remainder when i is divided by 161.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22 - -26) + -15 - -21) + (-2 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -1995.92501?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + j - 78 = 0, -4*j + j + 42 = 3*x. Suppose 58 = 17*r - x*r. Suppose -4*w + 2*w - r = 0. Which is smaller: w or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-3) + (-18640)\/(-24). Let u = d - 400. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54455951 is divided by 222.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/2 - 1514*w - 3030.\nAnswer: (w - 3030)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1852115879 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 346896.\nAnswer: 2, 3, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 757595.\nAnswer: 5, 277, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*p**2 - 38 + 7 in the form c*p + z + d*p**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 129 and 21.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2226 and 458927?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1548.9 + 1549. Is q <= -595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**4\/3 - 1552*d**3 + 38052*d**2 + 128104*d\/3 - 79200 = 0.\nAnswer: -1188, -2, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - l**2 - l + 34. Let s be i(0). Let q be (45 + -47)*(2 + 14). Let n = q + s. Solve -4*x - 2 - n = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**2*p**9\/p*(p**1*p)\/(p\/((p*p**(-10))\/p*p)))**17)**(-2\/15) assuming p is positive.\nAnswer: p**(34\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1753*u - 1759*u = 48 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -244132?\nAnswer: 244130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*o - 23*o + 16*o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.772 take away -43751678425?\nAnswer: 43751678424.228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 37*m**2 - 41*m + 118. Suppose -200 = -5*n + 2*f, -5*n - 2*f + 166 = -14. Give d(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 398 + -388. Suppose 5*c + g = q, -2*q - 5*c = -7*q + 30. What is the highest common divisor of 80 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*i - 134448, 0 = -2*y + 5*i - 7*i + 134488. Is 86 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 75, 1, 0, 163, 4 in ascending order.\nAnswer: -4, -3, 0, 1, 4, 75, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 189*q - 6. Let h(s) = 536*s - 17. Let i(m) = 6*h(m) - 17*l(m). Let t(p) = -p**2 + 81*p. Determine i(t(w)).\nAnswer: -3*w**2 + 243*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 24*x**2 - 22*x - 15. Determine s(-13).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 857 - 27409\/32. Let j(a) = 451*a + 117261. Let v be j(-260). Which is smaller: v or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 286 = -j + 298. Let d(i) be the second derivative of 0*i**j + 1\/18*i**4 + 0*i**2 + 0 - 9*i. Let d(v) = 0. What is v?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 108?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -431 - -350524?\nAnswer: 350053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1200, 1204, 1208, 1212, 1216?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12873105 at most -12873105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**1\/a)**18*(a\/(a**(1\/8)*a))\/a*(a*a\/(a*a**1*a))\/a)**(2\/117) assuming a is positive.\nAnswer: a**(-25\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 0.1. Let n(t) = -t**3 - 2*t**2 - t. Let i be n(-1). Suppose 3*z - 3 = -i. Sort h, z, -5 in increasing order.\nAnswer: -5, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 4:21 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 0*z**2 - z**2 - 3*z + 3*z + z**2 + (148 - 148 - 2*z**2)*(-1 - 9 + 18) to the form g*z**2 + m*z + s and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhhsttt. Give prob of sequence sts.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - -1552) + (17 - (17 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -350d8f (base 16) to base 9.\nAnswer: -6478338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 863223 divided by 31.\nAnswer: 863223\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 156554?\nAnswer: 2, 78277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**2\/3 - 468*d - 9926\/3 = 0. Calculate d.\nAnswer: -7, 709","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t + 29 - 25 = 94 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*n**2*t**3 - 3*n**2*t - 6*n*t**4 - 23*n*t**2 wrt t.\nAnswer: 36*n**2 - 144*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48765734 to the power of 1\/3, to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**2 - 1. Let n(b) = b**2 + b - 1. Determine -i(j) + n(j).\nAnswer: 4*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066220957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2 (c) -5 (d) 511\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + 1*(sqrt(65) + sqrt(65)*1) + sqrt(65))\/(6*1*sqrt(5)).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8995 equal to -8998?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -278, -1171, -2674, -4793, -7534, -10903, -14906?\n\"Answer: -q**3 - 299*q**2 + 11*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 2*w**2 + w. Let q(z) = 118*z**3 - 8*z**2 - 5*z. Give 4*g(m) + q(m).\nAnswer: 114*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2754690 and 1060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (0 + 2))\/(4\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2\/3 (b) -2\/9 (c) 4 (d) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.4 (c) -0.02 (d) 53 (e) -2\/5 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(187) - (sqrt(187) - (sqrt(187) - -1*sqrt(187)*4)))\/((sqrt(121) + -2*sqrt(121))\/sqrt(11)).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**5\/20 + 17*w**2\/2 - w. Let c(t) = 3*t + 42. Let u be (9\/(-81)*-6)\/(1\/(-21)). Let f be c(u). Determine y(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58776.6 months in decades?\nAnswer: 489.805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-405)\/21 - 2\/(-7). Let r(l) = l**3 - 15*l**2 + 17*l - 10. Let m be r(14). Let v = m + c. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -313411 + -10?\nAnswer: -313421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1025 and 275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -1\/4*d**4 + 0*d**3 + 5*d - 41\/10*d**6 + 1\/2*d**2 - 7 + 0*d**5. What is the third derivative of g(h) wrt h?\nAnswer: -2952*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002206635 to six dps.\nAnswer: -0.002207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eceeweewccec. What is prob of picking 1 w and 1 c?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:00 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4520828, 4520824, 4520818, 4520810?\nAnswer: 4520800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(125) + 1*sqrt(125)*-6 + (-3*(sqrt(125) + sqrt(125)*-3))**2.\nAnswer: -25*sqrt(5) + 4500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148980 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 15) to base 7.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -17*j**3 + 11*j**2 + 3*j - 1. Let o(l) = -6*l**3 - l. Let w(u) = -3*o(u) + t(u). What is w(-10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161235.\nAnswer: 3, 5, 3583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -327*d**2 + 85*d**2 - 663*d**2 + 4 as m + z*d**2 + x*d and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 27691, 55782, 83869, 111952, 140031, 168106?\n\"Answer: -2*s**2 + 28097*s - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w. Suppose 5*v + 3 - 8 = w. Suppose -15 = -d + v. Calculate the greatest common divisor of d and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 266823 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42 + 44. Suppose 0 = -3*q - k - l, -10*q = -5*q - 2*k - 15. Solve 3*w - q = 4*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.077 to two decimal places.\nAnswer: 5.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5 - 3 - 4)*(17 - 8 + 8) - 307 + 64 + 152)*(x + x - x + (-2 + x + 2)*(3 + 2 - 7))*(0 + 2 - 4) to a + v*x and give v.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.5538176ng?\nAnswer: 0.0000000005538176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3\/2 - -2. Let u = 29 + -42. Let m = u - -9. Which is the second biggest value? (a) 3 (b) m (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.11 (b) -0.047 (c) 5 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2188.3355 to the nearest integer.\nAnswer: -2188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -51885*g - 51887. Give i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 389704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cfc when three letters picked without replacement from ffcfffffcc.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4 = 2*u - 28, 3*u = s + 14. Let n(j) = 9*j - 66. Let r(l) = -72*l + 531. Let q(g) = -33*n(g) - 4*r(g). Let w be q(u). Solve -c + 0 + 4 = w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 13\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 4*y**2 + 7 - 26903959*y**3 + 26903960*y**3.\nAnswer: y**3 + 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 2 = -28. Let x = -2 + d. Solve 7*m - 16 = 2*m + 2*l, -x*l = -8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5633700468 take away -0.2?\nAnswer: 1.7633700468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, 137, -2 in ascending order.\nAnswer: -61, -2, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 5*s - 4. Let k(l) = l - 1. Let h(i) = 6*k(i) - q(i). Let b be h(6). Suppose -3*y = 2*a - 25, b*a = -a - 2*y + 35. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - 0)\/(((-22)\/8)\/11). Solve -2*i + w + a*w = 28, 3*w = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m - 10. Let i be j(-8). Let f = -393 + 438. Let w be 10\/6 - i\/f. Let k(y) = 11*y**2 + 2*y - 1. Determine k(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/18 + 6744002\/12. Round g to the nearest ten thousand.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16080312 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a factor of 245322312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 68 + -31. Let b = p - 40. Let w = 63.2 + -34.2. Sort 0, 4, b, w in ascending order.\nAnswer: b, 0, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -376 - 161. Let p = w + 532. Which is the closest to 2\/7? (a) p (b) 0.12 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*l**2*u**2 - 10*l**2*u + 42*l**2 - 12*l*u**2 wrt u?\nAnswer: 112*l**2 - 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -330 = -13*i - 172 - 210. What is the closest to i in -20, -3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n. Suppose 0*g + 3*o = -5*g + 19, 0 = 5*g - 5*o - 35. Let x = 1 + g. Let t(b) = -b. What is x*t(q) + 3*v(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 3*p + 2*p. Let j be (-212)\/p - 4\/(-18). Solve -3*u = -4*a - 0*u + j, 2*a - 6 = 5*u for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35383 + -35384. Which is the closest to -1\/3? (a) -1\/34 (b) -0.01 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 1545135220\nAnswer: 1545135226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.006 + -6.114. Let y = -7.12 - f. Let a be 0\/5 - 2\/(-22). Sort a, -4, y in descending order.\nAnswer: a, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 16) to base 15\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 4. Let j be (-6)\/(0 + (-6)\/(-4)). Let b be u(j). Let r = b - -28. Calculate the smallest common multiple of 16 and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 + 23*j**2 - 8*j - 30. What is q(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 5:52 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 - 3*c + 3*c)*(125*c**3 + 4339*c**2 - 4339*c**2) + (-152*c + 152*c + 4*c**4)*(4*c - 3*c - 2*c).\nAnswer: -504*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l + 5*l - l + (1697*l - 485832 + 485832)*(-1 + 0 + 2) to c*l + w and give c.\nAnswer: 1702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 10:56 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1860010.800089 + 1860010. Let i = z + 0.8. What is i rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 42*x - 37*x. Let q(g) = -g**3 - 6*g**2 - 4*g + 7. Let j be q(x). Suppose -4*r = -l - 29, -j*l = 5 + 5. Sort r, -5, 4.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59213 divided by 5\nAnswer: 59213\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - (-3 - -5 - -22). Let a(z) = -3*z**2 + 2*z + 2. Let g be a(2). List the prime factors of k\/g + (-2)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 - -334. Suppose -9*y + v = -432. Find the third derivative of -y*u**3 + 21*u**2 + 74*u**3 + 31*u**5 wrt u.\nAnswer: 1860*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2. Let r(k) be the second derivative of -2*k + 0*k**2 + 0 + 2\/3*k**3. What is n(r(a))?\nAnswer: 32*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 5*o**2 - 4*o + 3. Let k be d(-4). Let s = 0 + k. Suppose s*c = 20 + 7. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -211, -210, -209, -208?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 - (-3129)\/63 - (-56)\/(-30)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 + 4*l**4 - 3*l**4 + (-1 + 4 + 1)*(-l**4 + l**2 - l**2) - 5*l**4 + 2*l**4 + 6*l**4 + (0*l + 4*l - 3*l)*(-2*l**3 + 3*l**3 + 0*l**3).\nAnswer: 3*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -2*k**2 + 0 + 1\/60*k**5 + 0*k**6 + 1\/112*k**8 + 0*k**3 + 0*k**7 + 0*k + 0*k**4. What is the third derivative of q(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9738701?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 14. Let y = k - -0.1. Which is the nearest to y? (a) 0.1 (b) 2\/21 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(141\/(-658))\/((-2)\/(-21)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 3*l**2. Let r(z) = z**3 + 5*z**2 - 6*z + 3. Let w be r(-6). Let v be (-11)\/3 + (-1)\/w. Let q(d) = -4*d**2. Determine v*a(c) - 3*q(c).\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*y = 5*y - 22, 2*v - 18 = -2*y. Put -5, -2, -1, v in descending order.\nAnswer: v, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2208836, 2208826, 2208814, 2208800, 2208784, 2208766?\n\"Answer: -x**2 - 7*x + 2208844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 PM and 4:40 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10242 = -102*b - 756. Calculate the greatest common factor of 34782 and b.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 15, 4*c + 0 = -4*y + 20. Let v be (c + -2 - 21\/(-3))\/1. Solve 0 = 10*n - 5*n - v for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12784949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -13, -5, -17, -6?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -1*(2 + (-2 + sqrt(1584) - sqrt(1584))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006090144 to six decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + 1 + -5 + 1. Let q = -8\/7 - -1. What is the nearest to g in 2\/7, 1\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.24*5.\nAnswer: 6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9265991 to the nearest integer?\nAnswer: 3044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 85, 96, 65, -26?\nAnswer: -195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/5*10*-3. Suppose -2*j + 5*j = 504. Calculate the greatest common divisor of z and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2283\/5 - -457. Let d = 29 + -41. Which is the second smallest value? (a) f (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/2823745 or -1?\nAnswer: 2\/2823745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -729?\nAnswer: 72a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1274, -1276, -1280, -1286, -1294, -1304?\nAnswer: -1316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 10*b**2 - 24*b - 50. Let k be y(11). What is the highest common divisor of 14 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41056*a + 117757 wrt a.\nAnswer: -41056","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -81*b - 4. Determine z(-2).\nAnswer: 158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {g: 2, c: 4}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19\/8, 0, 148, -2\/5, -5, 0.3 in increasing order.\nAnswer: -5, -2\/5, 0, 0.3, 19\/8, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 534*y + 17*y**3 - 241*y**2 - 20*y**3 + 548*y**2 + 913 - 217 - 472*y**2.\nAnswer: -3*(y - 4)*(y + 1)*(y + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*m + 148 = 57, -3*r + 2*m + 61 = 0. Suppose 0 = 2*o - 63 + r. Solve -5*a - o = -7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 748\/15 - 50. Let r = -6 - -4. Which is the second smallest value? (a) r (b) i (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19\/(-95))\/(3\/(-5))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjj when four letters picked without replacement from {z: 2, j: 8}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 9. Is b at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19471150623.340246874 - -19471150721. Let c = y - 0.659752596. Let s = c + -97. Round s to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**19*w\/w**(1\/13)*w)**(-39) assuming w is positive.\nAnswer: w**(-855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*u - 49*u - 15 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 + -85.92. Let j = c + -1.08. Put 8, j, 5, 0.3 in descending order.\nAnswer: 8, 5, j, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44*b**4 - 45*b**2 + 8*b + 965 wrt b.\nAnswer: 528*b**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = a + 4*a - 15, -a + 3*v + 9 = 0. Suppose -4*u + 12 + 64 = a. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + a - 73 = 0, -2 = 5*a - 7. What is the tens digit of (48216\/27 + 4\/b)\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h + 8*h - 522 = -43*t, 0*h + t = 5*h + 22 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2. Let v(x) = -2. Let z(h) = h + 3. Let i(a) = 3*v(a) + 2*z(a). Give i(p(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 13*w - 3. Calculate l(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189220516*z**2 + 19*z - 6273911 wrt z?\nAnswer: 378441032","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 14\/11, 0, -4.6, 3 in decreasing order.\nAnswer: 3, 14\/11, 0.1, 0, -4.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 94807897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50332453 <= 50332452?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -31, -0.2, -0.228788?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*a - 50288 - 4937 + 12009 = 664*a for a.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 1236*i + 175701. Let t be r(-141). Let v(p) = -7*p + 8. Let l be v(-7). Calculate the highest common factor of l and t.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 87*l**2 + 7311*l + 245. Give v(-84).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -r + 7. Suppose 2*j - 9 - r = 0. 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: Suppose 10*a = -2*f + 7*a - 232, -f = a + 115. Which is greater: 5 or f?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 - 41264?\nAnswer: -41305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 333*n + 14. Let d(c) = 118*c + 5. Let b(f) = -17*d(f) + 6*g(f). Give b(-7).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 7*w**4 + 7*w**4 - w**4 + 0*w**3 + 0*w**3 + (-8*w**2 + 2*w**2 - 5*w**2)*(-4*w**2 - 13 + 13) - 3*w**3 + 3*w**4 + 3*w**3.\nAnswer: 51*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8714667037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d*o**4 - 87*d*o**2 - 10482*d*o + 6437353*o**5 - o wrt o?\nAnswer: -24*d*o + 386241180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {v: 3, c: 1, g: 2, r: 1, e: 1, u: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 544 and 2710888?\nAnswer: 10843552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 5*s**2 + 4*s + 1. Let r be v(-4). What is the hundreds digit of ((-2)\/4)\/((2\/(-428))\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 578. Let z(j) = -17*j + 914. Calculate d(z(h)).\nAnswer: 578*h**2 - 62152*h + 1670214","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 683063772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - -60. Let y = 90 + b. Let h = y - 33. Calculate the remainder when 6 is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or 58885\/12401?\nAnswer: 58885\/12401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126151 (base 8) to base 7.\nAnswer: 242452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -15*d. Let m(z) = z + 7005 - 7005. Calculate m(w(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5518*y - 52 = -5514*y, -201*u + 4*y = -643 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7 + l - 7*l - 6*l + l wrt l?\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33296467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256800 + 0.02817354522.\nAnswer: 256800.02817354522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2000\/840 + 4\/14. Determine t so that -6*t + 10\/3*t**2 + a = 0.\nAnswer: 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-518)\/(-1813)*(-420)\/5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8604, -321, 5 in increasing order.\nAnswer: -321, 5, 8604","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i. Suppose 2 = t - 2. Suppose -t*k + 4*d + 16 = -4, -3*k - d = -11. Suppose k = -4*g - 0. Let f(r) = -5*r. Calculate g*f(z) + 4*x(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 123, -32795 in decreasing order.\nAnswer: 123, -59, -32795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 8 = 0, -2*x - f = 3*x - 16. Solve 2*h - x*h + 8 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13*-0.087659\nAnswer: 1.139567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 3251*y + 1004143. Give j(-284).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 204*l**3 - 43*l**3 - 2*l - 173*l**3.\nAnswer: -420*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Which is the closest to 0.1? (a) 0.5 (b) q (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 4 (b) -2\/11 (c) -29\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**7*r\/(r\/(r**2\/r*r))*r**(2\/3)\/r*r**(-1)*r)\/(r**(4\/11)\/r**(-1\/9))**17 assuming r is positive.\nAnswer: r**(-1228\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*(-4)\/(-10)*(-1060)\/10388.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, e: 2, x: 3, w: 5, j: 2, o: 2}. What is prob of sequence jew?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129 * -0.3.\nAnswer: -38.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**3 - 6*x**3 - 7*x**3 - 3*x**3 + 9*x**3 + 2*x**3 + (1 - 3 + 0)*(-2*x**3 + 2*x**3 - 2*x**3) - 5 - 5*x**3 + 5 as w + y*x**2 + q*x**3 + d*x and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25484 - -25507. Let f(l) = -l**2 + 25*l - 77. What is f(g)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 5*k - 3. Let z be (96\/(-15))\/(4\/(-10)). Let c = 22 - z. Let q be w(c). Solve 0*y - 8 = -4*y + h, 12 = q*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.22 (b) -4 (c) 0.07 (d) -7\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384 smaller than 385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52918 is divided by 168.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 2 = 5*r. Suppose -n + 3*d = -18, -4*n - 2 + 18 = r*d. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 - u**2 + u - 13. Let m(z) be the first derivative of 5*z**4\/4 - 5*z**3\/3 + 3*z**2 - 66*z + 1. Let h(f) = -2*m(f) + 11*t(f). Give h(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4175647*a - 2632 = -4175675*a for a.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 160.17 - 161. Let w = -4.07 - d. Let l = -0.24 - w. What is the second smallest value in 9, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13808 or -13807?\nAnswer: -13807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/(sqrt(7)*-2 - sqrt(7)))**2*4.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 454 + -453. Solve -4*c - g - 11 = 4*s, -2*s = -c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-1 + 1 - 2). Let n = w - -4. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 180524.3 to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 less than 65204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000006446 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 396205 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3001 (base 5) to base 13.\nAnswer: 22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17183 is divided by 5719.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = t - 2*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 + (-1 - (-1 - 2)). Let a be ((-54)\/81)\/((-2)\/(-105)). Is 14 a factor of (-51)\/15*a\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 2*k + 1. Let t = -3 + 2. Let s be l(t). Let r be (1 + 1 - s)\/1. Solve -22 = 4*z - u, 3*z + 3*u = r*u - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 6:18 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u**2 - 35*u - 21. Calculate n(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.67 (b) -13 (c) -0.1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15*1\/(-9)*3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1520361 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 187377.2t in nanograms?\nAnswer: 187377200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/31)*b*b\/b**8*b)**(-2\/81) assuming b is positive.\nAnswer: b**(244\/2511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-12)\/15*-5 - 5 - -37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17025\/1274 or -14?\nAnswer: -17025\/1274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + j - 17 = 5*p, -4*p + 63 = 5*j. Calculate the remainder when 1107 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -3, -3842, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/w**(-12\/7))\/w)**(9\/4) assuming w is positive.\nAnswer: w**(171\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11686.1689 and 0.1?\nAnswer: 1168.61689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a century in months?\nAnswer: 17520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3)**29)**(-7))**7 assuming t is positive.\nAnswer: t**(-4263)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.193 - 0.178. Are z and -0.1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 4*f + 27 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/3584 and -93\/3584.\nAnswer: 3584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2088 + 4389. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-6*sqrt(5)*2 - (-4 + sqrt(5)*2)) + -2 - (sqrt(160)*-2)\/(sqrt(288)*1)*5.\nAnswer: -32*sqrt(5)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 790 or 794?\nAnswer: 790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 92519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - -7*2\/2. Let x = -41.535 - -39.535. What is the nearest to x in 3\/5, -1\/4, h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1545, 1023, 4 in descending order.\nAnswer: 1023, 4, -1545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8655?\nAnswer: 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 241, 490, 739?\n\"Answer: 249*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.5 - -242.5. Let q = c - 244.9791. Round q to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 + m**2 + 9*m**2 - 15 - 11 wrt m?\nAnswer: 20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717 < 1715?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 895777?\nAnswer: 895777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1205 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: Let p be -4*4\/(-8) + (-1 - -1). Let z(x) = x**3 - x - 8*x - 2*x**3 - 8*x**p + 6 - 2*x. Let r be z(-6). Is r equal to 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 573*n + 949*n - 2*n**2 + 7*n**2 + 2338*n + 744980.\nAnswer: 5*(n + 386)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/3)*k)**(2\/3) assuming k is positive.\nAnswer: k**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*d + 37, -6*a - 4*d + 41 = -3*a. Calculate the remainder when 351 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 177?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/48 and -59\/495.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26182 - -114015. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*x + 121860 = 8*x. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 2434 = 1966. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/12892 and -5\/586.\nAnswer: 12892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15886864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98 divided by 49.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89927.\nAnswer: 19, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19703\/28 - -704. Let k = z + -1\/14. What is the biggest value in k, -4, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 3, d: 9}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*l**3 - 383775*l**2 - 4612752*l - 13845708 = 0. What is l?\nAnswer: -6, 128201\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-342)\/(-95))\/(6\/20). Let u = 25 - -59. Calculate the greatest common factor of u and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*c = 5*w + 40*c - 35, 15 = 3*w - c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*y + 123*y + 15 = 0, 5*q = 4*y + 20 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*l - 1871 = 4499. Let d be (-2 - -12)*(-28)\/l. Sort 1\/2, 0.4, d in increasing order.\nAnswer: 0.4, 1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 5666?\nAnswer: 5694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w + 40 = -90 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (0 - (-7 + 1)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 830 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 + (-101 - -97)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 15.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3538*g - 28 - 2124*g - 1412*g.\nAnswer: 2*g - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20168 + 27162 - 8510 = 647*c for c.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k**3 - 32*k**2 - 13*k + 45. Suppose 176 = 13*g - 21*g. Is w(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*s - 119*p - 90 = -121*p + 26, 4*s - 4*p = 256 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11220231002 + 0?\nAnswer: -11220231002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1115413792 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*h**5 + 16563*h**3 - 551106*h + 1 wrt h?\nAnswer: -80*h**3 + 99378*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k**1*k*k))\/k)**21)**(-5\/4) assuming k is positive.\nAnswer: k**(105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 442479 to the power of 1\/2, to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {r: 2, m: 2, w: 8, c: 2, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27830609 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 + 0.83.\nAnswer: 30.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 161*t + 1149. Calculate n(-87).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 10 - (2688 + -2679)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123294459 + -0.1?\nAnswer: 123294458.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35178?\nAnswer: 2, 3, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55549 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 244853101?\nAnswer: 23, 2087, 5101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 26*s**2 + 7*s + 188. What is y(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 804 in decreasing order.\nAnswer: 804, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = j + 7155, 6799 = 5*z + 4*j - 381. List the prime factors of z.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 40, -51, -252, -599, -1128, -1875?\n\"Answer: -6*y**3 - y**2 + 28*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -0.3 (c) 4 (d) 6 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*t + 9. Let n = 6 - -12. What is the units digit of (-12)\/n*t*87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 20 = -7*a. Suppose 24 + 2 = w + 5*x, w - 21 = -a*x. Sort -1, 3, w in decreasing order.\nAnswer: 3, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -4. Suppose 0 = -3*w + 3*a + 18, -11 = -7*w + 5*w + a. Suppose 2*p - 3*y = -11, -p + w*y - 10 = -1. What is the third smallest value in 2\/13, p, i?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 264296 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 - -13. Let f = 62 + -70. Let m = l - f. What is the third smallest value in m, 0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/70)\/((-51)\/(-85))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-485)\/20 + 3\/(-4). Let y be r\/2*(-8 - (-3 - 1)). Suppose -70 - y = -8*f. What is the remainder when 52 is divided by f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4416131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157873, 157848, 157799, 157720, 157605, 157448?\nAnswer: 157243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.050951 rounded to two dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -66, -150, -254, -378, -522?\n\"Answer: -10*y**2 - 54*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = -9284*d + 9295*d. Calculate the greatest common factor of d and 4780.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12968.\nAnswer: 2, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b + 13*b - 6*b - 6*b**2 - b to h*b**2 + l + c*b and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 10*b**2 + 11*b - 1. Let j(x) = 1540*x + 0*x**2 - 3088*x + 1538*x - 9*x**2 + 1. Calculate 6*d(r) + 7*j(r).\nAnswer: -3*r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(sqrt(200)*2) + -1)*-6.\nAnswer: -3*sqrt(5)\/5 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.8 - 9.4. Let g = -33562271 + 33562267.6000103. Let p = i + g. Round p to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 921*a**3*l**2 - 17764*a**3 + a*l**2 + 2*a*l - 2 wrt l?\nAnswer: 1842*a**3*l + 2*a*l + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.10136s to minutes.\nAnswer: 0.268356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 8. Let l(r) = 7*r - 6. Let b be l(2). Suppose 0 = 7*z - 9*z + b. Solve 0 = -z*a + d*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3*x - 17. Let j be v(-7). Let l be (-4)\/(-8)*j\/6. Let h = 4 + -4.6. Which is the closest to h? (a) 4\/7 (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 4:57 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 19, 3\/7, 5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 + 70.04. Let a = 2.46 + b. Is -1\/3 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-41 - -29) + 70.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 + 4 = 0, -2*t = -5*u + 74. Let h = t - -47. What is the smallest common multiple of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-657)*(-15)\/25*120\/(-4 + 16)\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f + 2. Let a be (-6)\/(-3) - (-35)\/(-5). Give y(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 1. Let g(h) = h**3 + 19*h**2 + 3*h + 56. Let a be g(-19). Let s(u) = u**2 + 4*u + 7. What is a*s(w) + 5*m(w)?\nAnswer: -w**2 - 4*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, p: 3, i: 1, n: 2, h: 3, o: 1}. Give prob of sequence he.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -1123, -1938, -3079, -4546, -6339, -8458?\nAnswer: -10903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**2 - 54*f + 51 = 0. Calculate f.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i**4 + 3*i**3 + 3*i**2 - 3*i - 5. Let s(c) = 18*c**4 - 4*c**3 - 4*c**2 + 4*c + 4. Let v(r) = 4*o(r) + 3*s(r). Differentiate v(g) wrt g.\nAnswer: -72*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 53*t**2 - 35*t - 129. What is the smallest common multiple of 12 and f(-6)?\nAnswer: 7956","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/440 - -179\/440. What is the smallest value in -3, 59\/8, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246403 is divided by 50.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2941 and 2176.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1901 divided by -1274.\nAnswer: -1901\/1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/10 - (-1124067)\/(-244020). Let d = 45\/83 + v. Calculate the common denominator of 3\/40 and d.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 27*d**2 - d + 32. Let f be c(27). Solve -3*j + 0 - 20 = 4*t, -3*t - 15 = -f*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-444828)\/9755*3\/((-9)\/5).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/27)\/s**(5\/6))**(-23\/3)\/((s*s**(-2)*s)**(5\/16)\/(s\/(s*(s**2*s*s)\/s))**(-43)) assuming s is positive.\nAnswer: s**(22025\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19227 divided by 12?\nAnswer: 6409\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*i = 2, 4*i = 4*h + 8*i + 8. Suppose 2*r + p + 3*p + 12 = 0, 6 = 3*r - h*p. Suppose r*x = 3*x. Sort x, 2, 1.\nAnswer: x, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.1 - -30.1. Let u = x - 6. Which is the nearest to u? (a) 1 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 22, -8, -2, -4 in decreasing order.\nAnswer: 22, 4, -2, -4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*s + 3*s + 52, 4*j = 3*s - 20. Let l be (-60 + 6)\/((-3)\/2). Does 13 divide (-454)\/(-18) + j\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 12) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 0.2, 3, -13296.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10001011100 (base 2) to base 3.\nAnswer: 1112100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, q: 2, f: 7}. What is prob of picking 1 f and 1 q?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 6*m**2 - 6*m**2 + 2*m**2 - m**2 - 4. Let g(y) = 2*y**2 - 5. What is -3*g(p) + 4*q(p)?\nAnswer: -2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 3 + 8)*(-2*h + 2*h + h) - 4*h - 3*h + 2*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 8*r + 8. Suppose 2 = -0*b - b. Let o be (b*6*-1)\/(6\/4). Suppose -34*s = -33*s - o. What is y(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 491*p**2 - 216*p?\nAnswer: 982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j + 256 = -2*w, -3*w - 174 = -2*j. Suppose -4*a - 3*h = -j, -4*h - h + 100 = 5*a. Suppose -14 - a = -o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208.5635 + 246.56378. Let j = 38 - y. Round j to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*f - 27*f + 9*f + (3 - 3 + 2)*(0*f + f - 2*f))*(-3 - 4 + 5) + 2*f - f + f to the form u + m*f and give m.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34652743 a multiple of 242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i - 2*i + 0*i + (4 - 3 - 3)*(2 + 0 + 0)*(0*i + 2*i + 5*i).\nAnswer: -30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2*(-4)\/(1*-8). Let w(n) = 26*n**3 - 2*n + 1. Let o be w(z). Calculate the highest common divisor of o and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 9*p**2 + 23*p - 8. Let z be d(11). Let t(x) be the third derivative of -4*x**2 + 1\/60*x**5 - 1\/24*x**4 + 0*x + 0 - 1\/3*x**z. Give t(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5788*c. Let i(l) = -2*l**2. Determine i(p(o)).\nAnswer: -67001888*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.09 - -5. Let y = 0.15 + h. What is the smallest value in y, -2\/9, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 508, 509, 510?\nAnswer: 511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69903 and 8343.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 2:01 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/9 (b) 1\/6 (c) 3\/5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 25 = -23*h. Suppose 0 = 3*d + h*z - 4, 9*d - 9 = 5*d - 3*z. Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 176652564 to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) -3\/2 (c) -170 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 527 - -19?\nAnswer: 545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 3:00 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12004 - 6 - (-1 + 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.006.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19036 - -68228. Suppose -38*k + h = 6*k. What are the prime factors of k?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + t + 419, 5*t = l + 7*t + 420. Let g = l + 936. Is g a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l**3 - 2*l**2 - 3*l + 2. Let c(w) = -10*w**3 + 4*w**2 + 7*w - 4. Let b be (7\/2)\/((-6)\/(-12)). Calculate b*s(p) + 3*c(p).\nAnswer: 5*p**3 - 2*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 - 15 + 10 + (-5 + 3 + 0)*(-2 - 1 + 2))*(-1 + m + 1).\nAnswer: 113*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*u**3 + 244*u - 246*u + 2*u**3 - 32*u**5 - 26 wrt u.\nAnswer: -640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(860\/12))\/(((-567)\/14)\/(-27)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12? (a) -5 (b) 1\/8879 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 37*z**2. Let f(l) = -97*l**2. What is f(r(k))?\nAnswer: -132793*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.24 - -5.34. Let r = -125 - -116.9. Let t = y + r. What is the closest to 1 in 2\/33, t, -5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 232.87, -4, 1\/4, -5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nja when three letters picked without replacement from {a: 4, e: 4, j: 4, d: 1, p: 5, n: 1}.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9291, 37897, 85563, 152289?\nAnswer: 238075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 12 = -10*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k = -18*k + 20. Suppose -3 = 3*a - k*a. Solve 3*g = 9, -2*r + 2*g - a*g = -1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 + 84614012*z**4 + 447470562249976*z**3 - 1342412194434040*z**2 + 1342412363662084*z - 447470816092036.\nAnswer: 4*(z - 1)**3*(z + 10576753)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-109000)\/1635 - 14\/(-3)?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 5*v = 3*j + 3, -4*j + v + 7 = 0. Suppose 13 = 5*y - 2. Solve 5 = -j*o + y*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**2 + 3*v**2 - 2*v**2 + 2*v**2 + 0*v**2 - 4*v**2 + (-2 + 2 - 1)*(3*v**2 + 0*v**2 - v**2) - 5 + v**2 + 5 - 4*v - 1.\nAnswer: -2*v**2 - 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3295, 3, 192 in decreasing order.\nAnswer: 192, 3, -3295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 174 = 27*i. Let r = 120 + i. Let a = r + 58. Solve a*w - 21 = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3*f**3 - 9*f**2 + 10*f - 1. Give c(-3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.3078419 tonnes?\nAnswer: 307841900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -422*h - 115 + 422*h - 95*h**2 wrt h.\nAnswer: -190*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/808 and -25\/3317892?\nAnswer: 670214184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794 = 108*x + 2986. Find the common denominator of x and 31\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:59 AM and 1:41 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15064 - 10719. Suppose -235*q = -240*q + z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - o + o**3 + 0*o + o**4 - 21 - 2*o**2 to the form q + g*o**4 + j*o + r*o**2 + n*o**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 p when four letters picked without replacement from {k: 3, p: 13}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let m be t(1). Let q be -9 - (1 + m + -2). Is q\/21 + 772\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*l - 2*d = 23*l + 2, 7*l + 104*d = 11*l + 88 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven halves of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 - g**2 + g - 2. Let b be r(2). What is the derivative of -b*d**2 - 3*d**2 - 6 + 5*d**2 - 3 wrt d?\nAnswer: -20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:48 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 0.43 (c) 1 (d) -31 (e) -2 (f) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 + 8.9525282?\nAnswer: 8.7725282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-18)\/(-5)))\/5 + 2241\/162.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 6 - 2 = 0. Let i = -7 + y. Let p = -3 - i. What is p rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 503483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {k: 5, j: 1, y: 1, q: 3, i: 1}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5981 + 8265. What are the prime factors of r?\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avrr when four letters picked without replacement from {e: 1, y: 1, n: 1, a: 1, r: 2, v: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227 - 240.4. Let o = 11.4 + y. Which is the fourth smallest value? (a) -5 (b) -1\/11 (c) o (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000096 rounded to seven decimal places?\nAnswer: -0.0000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 5 = -4*t + 27, t - 3*d - 1 = 0. Suppose -t = -7*w + 21. Solve -w*i + 27 = -5*y, 2*y + 2*i - 6 = -2*i for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38727.282 plus -107252?\nAnswer: -145979.282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.7. Let l = 16 + -34. Let v be 4\/(-22)*(-9)\/l. Put -0.1, k, v in ascending order.\nAnswer: k, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*z + 383, -5*x = -3*z - 0*x - 235. Let i = z + 80. Let y(t) = -t - 4. Calculate y(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, e: 1, u: 1, a: 1}. What is prob of sequence eu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3 (c) -7\/12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -17277 (base 8) in base 14?\nAnswer: -2c23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -353368, -706372, -1059376, -1412380?\nAnswer: -1765384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millimeter in micrometers?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -72. Let o be 12\/28 + 839988\/j. What is o rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-17)\/4228*14668\/16. Let c be ((-1)\/56*-4)\/(1208\/(-24)). Let w = k + c. Calculate the common denominator of -27\/4 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 7. Let q be h(-9). Factor -9*n**3 + 4*n - 3 + 9 + 5*n**3 + 2 - 8*n**q.\nAnswer: -4*(n - 1)*(n + 1)*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/5)\/((-6)\/195). Let f = j + -34. Suppose 2*a = -4*x + f*a + 142, 3*x - 4*a = 110. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1628298 + 1628318.99946. Let t = 21 - v. Round t to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24 - 607cc?\nAnswer: -607a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -0.21 (c) 1.1 (d) -1.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 divided by -157?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17 - 10)*(-2)\/(-7). Suppose -5*c - 4*f = 23 - 164, 0 = -u*f + 8. Solve 16 = -r + 4*p, -3*p - 2*p = -c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h - 25 = -3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 4638 and -299169.97.\nAnswer: -294531.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545601, -1091132, -1636663, -2182194?\nAnswer: -2727725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-350)\/125 + 3)\/(1108\/(-370) - -3)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 226*q**2 - 15*q + 128. What are the prime factors of b(7)?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uf when two letters picked without replacement from udefufdedffefaf.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-28) - -4) + -7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s**3 - 12*s**2 - 5*s - 7. Let t(v) = v**3 + 7*v**2 + 3*v + 4. Let n(b) = -3*q(b) - 5*t(b). Let i(g) = 4*g**3 + 2*g**2 + 8. What is -i(y) + 2*n(y)?\nAnswer: -2*y**3 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/3 + 25*x**2\/2 + 22*x - 5. Let n be j(11). What is the highest common divisor of 22 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f + 5*b + 24, f - b + 2 = 8 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of ((-2)\/4)\/((-16)\/416)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:08 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23a28a (base 11) to base 7.\nAnswer: 3140632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6304?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/8*(0 + -3)*4. Let l(k) = -479*k + 65. Is l(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 - (-14 - (24 - 10))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3840304 and 91816?\nAnswer: 3992","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1001110101101?\nAnswer: 1001110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - i**2 - 2*i**2)*((0 + 3 - 5)*(-3 + 2 + 0) - 1 + 1 + 2 + 5 - 16 - 12)*(34*i**3 + 35*i**3 - 78*i**3).\nAnswer: -513*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/25 + 14\/(-40). Let j = 1.5 + -1.9. Which is the second smallest value? (a) j (b) w (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(272) + 1 - sqrt(272)) + 1)**2 - ((-3 + sqrt(272)*-1)**2 - sqrt(272))*-3.\nAnswer: 60*sqrt(17) + 852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 7*d**3 - d + 2. Let m be j(2). Suppose y + m = 5*y. Calculate the least common multiple of 8 and y.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40933 is divided by 42?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**5\/20 + j**4\/6 + j**3\/6 - 2*j**2 - 28*j. Let y(a) = -2*a**3 - 5*a**2 - 2*a + 9. Determine 5*v(m) + 2*y(m).\nAnswer: m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -4\/19, 6\/41, -5\/24, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421608703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 92 - 92. Suppose 2*c = 2, x + 4*c = -g*c - 3. Let a(j) = j**2 + 8*j + 9. Calculate a(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-1) - (-1978)\/(-138))\/((-35)\/(-3)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, p: 1, w: 1, r: 4, u: 2, h: 1}. What is prob of sequence pwe?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 1074061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 4*k**2 - 4*k - 3. Let b(u) = -u**2 + u + 1. Determine -14*b(i) - 4*d(i).\nAnswer: -2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9 + -11 - -57*9?\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/(-65)*(-15)\/54.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 0 = -6. Suppose 0*y - 432 = -x*y. What is the highest common divisor of y and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*o - 3, -1 = d + 5*o + 2. Let w be (d\/(-9))\/(21\/(-9)). What is the second biggest value in -1, 4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v - 6. Let u be z(-4). Suppose 3*p + 579*b = 578*b + 263, 152 = 2*p + 4*b. What is the highest common divisor of p and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -935?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.012 (b) 3\/55 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273 + -278. Let f be 15\/15*(-3 - (2 + m)). Is f at least as big as 1\/94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 4 + 1)*(0*c + 0*c - 2*c**3).\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 1. Suppose -84*h = -46*h + 418. Let n(y) = -10*y**2 + 3. Calculate h*r(u) - 4*n(u).\nAnswer: 7*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2445207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119) + ((sqrt(119)*-2 + sqrt(119))*-5 - sqrt(119))))\/(sqrt(448)*1))**2.\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**2 - 5 - 4\/15*c**5 - 33\/2*c**3 + 0*c + 0*c**4. What is the first derivative of s(a) wrt a?\nAnswer: -32*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (-14)\/(-2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1247330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-12)*3\/(-4). Which is the second smallest value? (a) 1 (b) -2\/13 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2*(1 + 0))\/(4\/(-1160)). Let v be 6\/(-1)*1*w\/6. Round v to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 5*x - 6. Let m be w(-5). Let v = 12 + m. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 5:49 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3495*u - 25081 + 168376 = 0 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 + 17. Let l be (-5)\/2 - (-9 - f). Which is the smallest value? (a) l (b) 0 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35142.\nAnswer: 2, 3, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.81 and 354563.\nAnswer: -287196.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 v when three letters picked without replacement from vcsvdddvdvsdccpsspcd.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 25*b**2. Let n = -738 - -953. Let k(p) = 422 + 11*p - 207 - n. Calculate h(k(l)).\nAnswer: 3025*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*k - 3919 - 7448 = 1839 for k.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11448.83 - 11403. Let f = o - 37.8. Let p = f + -8. What is p rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(1\/5)\/c)\/c)\/c*c\/(c*(c**(-5)*c)\/c)*c**(6\/11)*c\/(c*c*(c**8\/c)\/c))**17)**(6\/11) assuming c is positive.\nAnswer: c**(-23868\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-6*(sqrt(121)*1 + sqrt(121)))\/(sqrt(396)*-2))**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2296 - 2296.03. Let o = -15 + 137\/9. Which is the closest to w? (a) -1\/4 (b) -2 (c) 4 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(3\/4)\/r)*r**(2\/13)\/r*r)\/(r*r*r**7\/r*r*r*r**(-10)) assuming r is positive.\nAnswer: r**(73\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/102*(2\/(-6) - -1). Sort 0.5, 1, u in ascending order.\nAnswer: u, 0.5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -54 + 1\/2*n**3 + 13\/2*n**2 + 12*n = 0. Calculate n.\nAnswer: -9, -6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 20.5, -116, 31, 0 in increasing order.\nAnswer: -116, 0, 20.5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/33417 and 74\/634923?\nAnswer: 634923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 1\/5 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 6\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2465409.\nAnswer: 3, 821803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8118 divided by -3.\nAnswer: 2706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 3*t = -4*t - 41, x - t = 23. Let i = 48 + -26. Calculate the smallest common multiple of i and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4917 + 1162*v - 4917)*(3*v + 0*v - v) + (0*v - 2*v + 4*v)*(v + 1 - 1) + 5*v - 5*v - 5*v**2 as o*v + l + m*v**2 and give m.\nAnswer: 2321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 815816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -4*z**3 + 27*z**2 + 4*z - 15. Let q be f(7). Let t be 1946\/6 + ((-12)\/q)\/(-1). Calculate the highest common factor of 36 and t.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a year in months?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**2\/3 + 29674981*j\/3 = 0.\nAnswer: 0, 29674981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-1)\/1)*12\/36. Suppose o = -6*n - 116240 + 512192. Suppose -d - 5*f = -3*d + 66020, n = 2*d + 2*f. What is d rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2252*q**3 + 4510*q**3 - 2260*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (13 - 8) + (-4 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 15664, 15671, 15678, 15685, 15692, 15699?\n\"Answer: 7*n + 15657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28 + -27 + (-14)\/10)*-5. Solve 4*c = v*t - 25 + 3, 0 = 3*t - 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18943646, 8, -0.1 in descending order.\nAnswer: 18943646, 8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 39 = -1. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 96 - 65. Let d = q - 31. Let c(f) = -5*f**3 + 6*f**2 - 6*f + 5. Let s(y) = -11*y**3 + 13*y**2 - 13*y + 11. Let r(u) = -13*c(u) + 6*s(u). Give r(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589563242 rounded to the nearest 10000?\nAnswer: -589560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 602225 - 602225 - 40*c**2.\nAnswer: -40*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**3 + 46*m**2 + 7*m - 116. Let k be j(-15). Solve -k*z - 19*z = -46 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - v**2 - 3*v - 2. Give b(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4387 - -6292. Is i smaller than 1907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**5\/2 - 193*m**4\/2 + 5113*m**3 - 40381*m**2 - 463827*m\/2 - 372645\/2 = 0.\nAnswer: -3, -1, 15, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 2, -2\/5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**3 - 4671*z**2 + 2424249*z - 419395077 = 0?\nAnswer: 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24 (b) -85 (c) -3 (d) 4 (e) -15 (f) 0.1 (g) -13\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 64*t**3 + 38*t**3 - 24*t**2 + t - 1 - 95*t**3 + t**3 + 3*t**3 - 5*t**3 + (3*t + 0*t - 2*t)*(4*t**2 - 3*t**2 - 3*t**2).\nAnswer: 4*t**3 - 24*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yp when two letters picked without replacement from {v: 1, p: 3, y: 3, o: 1, m: 3}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from mnll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -5*z. Let t(n) = -662851*n + 105. What is m(t(h))?\nAnswer: 3314255*h - 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f**14*f)\/f)*f)\/f*f\/(f*(f*f**(-9))\/f)*(f**(-4))**(5\/4) assuming f is positive.\nAnswer: f**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.879 or 627?\nAnswer: 1.879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b. Let p(c) = 11*c**4 - 2*c**2 + 4*c + 4. Let j(a) = 3*n(a) - p(a). What is the second derivative of j(m) wrt m?\nAnswer: -132*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**2 + 1224*t + 2. Give a(-72).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0.08. Suppose 175 + 76 = -293*h - 42. What is the nearest to h in 0.3, o, 0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - c48c0?\nAnswer: -c48ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2208926111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 360.9777 - 361. Let i = b + -0.3177. Which is greater: i or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 21 - 20 - 26 - 215*k.\nAnswer: -215*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -27 - 33*y**2 - 5*y - y**3 + 0*y + 25*y**2 - 3*y. Is v(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -2, -30, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + -0.1. Suppose -f + 32 + 58 = 0. Let d = 541\/6 - f. What is the closest to d in 5, -0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r + 1. Solve 0 = -a + r*b + 9 + 3, 3*b = -6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87411 divided by -4?\nAnswer: -87411\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 1 (b) -0.3 (c) 0.5 (d) 45 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -10*z**2. Let l(v) be the second derivative of -v**4\/6 - 2*v. Determine c(l(w)).\nAnswer: -40*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1098640 and 325878613.\nAnswer: 324779973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**3 - 11104195*c**2 - 55521100*c = 0.\nAnswer: -5, 0, 2220844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 482 = -j + 484. Find the second derivative of -268*r**3 + 315*r**3 - 17*r + j - 1 wrt r.\nAnswer: 282*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -361.106 - -359.2. Round h to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/21)\/((-112)\/(-147))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(-14)*(w*w\/w**(-7\/3))\/w*w)\/(w**8\/((w**(-10)\/w)\/w)) assuming w is positive.\nAnswer: w**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4496758 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/156 and 63\/356?\nAnswer: 13884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*c*k**3*u*x - 13*c*k**3*x**2 - 5*c*k**2*u*x**2 + 2*c*k**2*x + 2*k**2*u*x**2 + 14*k*x**2 wrt k.\nAnswer: 30*c*u*x - 78*c*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1026\/126 + -8)*-2. What is the closest to 0.6 in -5, 3\/4, -4\/29, m?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19.72 + 7.72. Let l be (-171)\/(-198) - (-3)\/(-6). What is the third smallest value in l, 0.1, q?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.78 - -0.22. Which is the closest to 0.04? (a) j (b) -5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 14*n - 3*n**3.\nAnswer: -3*n**3 + 14*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 410 or 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*l - 7*l + 495, 5*f + 297 = 3*l. Let s = l - 99. Solve a + 3 = -s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173144865 a multiple of 545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -73332, -146668, -220004, -293340, -366676?\n\"Answer: -73336*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) 3 (c) 4\/3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(350)*-6)\/(sqrt(189)\/sqrt(3)))\/(-2*(sqrt(20)\/sqrt(2)*1 - -2*(sqrt(30)\/sqrt(3) + sqrt(10)))*-3).\nAnswer: -sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.054 + -0.324. Let s = -3.27 - l. Which is smaller: 0.6 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 210838349 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 2:18 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/4 - 13*y**3\/2 - 72*y**2 - 111*y. Factor q(h).\nAnswer: 3*(h - 16)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/5*(-6 + 1). Suppose 41 = y*q - 7. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/150*5)\/(4\/10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 74797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 117408.2um in meters?\nAnswer: 0.1174082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/139170 and 17\/210.\nAnswer: 974190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2244 - 255 = 362*k + 301*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/(-5)*2800\/150 and 29*(6 + -7)\/(-128).\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + (-1)\/22)\/(265\/1280). Let t = -2\/53 - p. What is the nearest to -2 in -2, t, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07 + -11.93. Let x = 3 - n. Let b = x + -18. What is the second biggest value in b, -0.16, -1\/3, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1119 - -1323. What is the greatest common factor of a and 969?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87563 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -7389 <= -7416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 534424 and 534424.\nAnswer: 534424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*z + 938*z + 425*z - 201*z.\nAnswer: 1256*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a week in hours?\nAnswer: 3402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51 - -21. Let z(b) = -11 - 2*b + v - 5*b + 133. What are the prime factors of z(0)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 0.4, -16257 in decreasing order.\nAnswer: 3\/2, 0.4, -16257","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 9*q**2 + 5*q + 6. Calculate k(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11290 = -52*a - 10718 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of 0 + 1\/18*o**4 - 2*o + 1\/3*o**2 + 2\/9*o**3. Let b(x) = 0. What is x?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 465 and 2055.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 75 = -s. Solve -6*d + s = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 4, -1\/8178775, -6?\nAnswer: -1\/8178775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17601, -17627, -17679, -17769, -17909, -18111?\nAnswer: -18387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1 - (4 + -3)) + 6 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.6 - -0.5. Let u = 38537\/2409 - 527\/33. What is the nearest to k in -1, u, 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/((-48)\/10)*14\/(-35)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68248796*l - 18954 = -68248445*l for l.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/80277644 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 4, p: 3, v: 1}. What is prob of sequence svps?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 2*h - 2*h)*(153 + 73 - 28)*(5 - 4 - 3).\nAnswer: -792*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 1171044.\nAnswer: 5855220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 75*v**2 + 1201*v + 35. Give y(-16).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2865558 rounded to four decimal places?\nAnswer: 0.2866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2 + 6 - 3 + 415*c.\nAnswer: 415*c + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 3*q - 281. Calculate the greatest common divisor of 29 and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -37, -99, -161?\n\"Answer: -62*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 + -29. Suppose 3 = 4*h - m. Solve -z + 5 = -3*x, 5*x + h = -z - 0*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/12*(-8)\/20.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-6)\/144)\/(39\/(-4563)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 115*h**2 + 249*h + 2614. What is y(-113)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 2.5. Sort 0.05, 2, a.\nAnswer: 0.05, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -69, -113, -159, -207, -257?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -3985?\nAnswer: 3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2089 (b) 4 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.11 - -1.61. Let t = 0.2343 + -0.0343. Put -2, 6, t, i in decreasing order.\nAnswer: 6, i, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387301941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21211 equal to 21209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 2*n - 1. Let f be p(-1). Let c be 250 - ((0 - 2) + f). Round c to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = 3*g + 10, 14 + 4 = -5*g - 2*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/47 in -4, 4, -0.3, -3\/5, 1\/11343?\nAnswer: 1\/11343","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100395282.\nAnswer: 2, 3, 13, 37, 43, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 255*t**2 + 0*t - 172*t**2 + 129*t**2 - 2*t + 5*t in the form n*t**2 + x*t + d and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 368164*g**3 + 15*g**2 - 27*g - 93?\nAnswer: 2208984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17.6 + -2.5. Let g = r - 15. Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50.73 + -1.27. Let r = -28 - b. Let y = r - 24.3. What is the smallest value in 18, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -6*c**3 - 3*c - 4. Let u(p) = -p - 19. Let h be u(-10). Let o(k) = 13*k**3 + 6*k + 9. What is h*a(r) - 4*o(r)?\nAnswer: 2*r**3 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -61981729262 and 1.\nAnswer: -61981729261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(300) - (1 + 1 + sqrt(300) + sqrt(300) + sqrt(300) - sqrt(300) - sqrt(300)))**2 + sqrt(300))*-6*-2.\nAnswer: 144 + 360*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 633 and 5908.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 333620 to the nearest ten thousand.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -3\/2*d**2 - 1\/3*d**3 + 86 + 180*d. What is the derivative of h(b) wrt b?\nAnswer: -2*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -262587430 * 0.3\nAnswer: -78776229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n**3 + n**3 - 20*n + 3*n**3 + 6*n + 2 to y*n**3 + l*n + z + w*n**2 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9565*c**3 - 2989*c + 2989*c.\nAnswer: -9565*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k - 4 - 31. Let t = 18 - k. Does 25 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -52 + -3101?\nAnswer: -3153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1036\/140)\/(-37) - (-42)\/260. Is 1 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 120 = 4*n + 6*k, -87 = -3*n - 2*k. What is the remainder when 161 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10.55 + -4.86. Let y = r + -6. Let f = y + 0.01. Which is the third smallest value? (a) -1 (b) f (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71, -91, -137, -221, -355, -551?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2354 + 4664 - 2310 + 22*d**3.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 115 and 558955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k**2 + 1. Let u(i) = 11*i**2 - i + 5. Let g(s) = 7*s**3 + 141*s**2 + 22*s + 31. Let z be g(-20). What is z*n(o) + 2*u(o)?\nAnswer: -5*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/18 and (2\/15)\/((-672)\/(-7035)).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16472)\/(-9444)*48\/22. Let u = 10\/787 + z. Suppose -19 = -4*y + 3*j, -3*y + 2*j + 22 = 2*y. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uun when three letters picked without replacement from fuqoqqoxoqqnouf.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 4544700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -31*t**2 - 4*t + 11. Let b be ((-88)\/(-16))\/(-5*(-1)\/10). Let n(w) = -6*w**2 - w + 2. What is b*n(o) - 2*i(o)?\nAnswer: -4*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/325 - (-59)\/200.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11590 and 450851?\nAnswer: 4508510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 17 = 4*q. Suppose 4*z = -4*b, 0 = 3*b + b - 3*z - 28. Is b > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63 - 40828\/(-649))\/(0 - -2 - 3)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*p + 11 = 0, 2*q = -2*q - 3*p - 13 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2731.812 and -813.\nAnswer: -3544.812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -3*i - 0*i, -2*t + 4*i + 10 = 0. Let g be ((-318)\/18)\/(t\/3). Let s = -33 - g. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*s**2 - 39*s**2 + 14*s**2)*(0 + 10 - 2).\nAnswer: -336*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 7*b + 7*b - 4*b as m + w*b and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -888\/13 - -29941\/429. Find the common denominator of -37\/6 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u - 55 = -3*v, 0 = -34*u + 31*u + 3*v - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 109 - 221*r**2 + r**3 - 259*r**2 + 45 - 152 to h*r**3 + b*r + j*r**2 + k and give j.\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z**3 - z + 1. Let d be w(1). Suppose 3*c = -0*c + d. Let t = -10 - -20. What is the smallest common multiple of t and c?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g + 4, 0 = 8*a - 3*a - g + 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k - 5. Let j be m(-5). Solve -11 = -3*a - j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(419\/(-139) + 3). Suppose -4*x - 92 = -4*u, 5*u - s = 3*x - 4*x. Is 12918\/4*18\/u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hee when three letters picked without replacement from {h: 1, e: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 2*w**2 + 4*w - 20. Determine t(-6).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3427 and 130801?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t. Let f be n(0). Suppose c - 4 = -f*c. Suppose -2*u + c = -0*u. Solve j + u = -j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775775 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gjejpnb. Give prob of sequence jpe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6\/23, -1, -144?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 12 = -0*l - 3*l, 2*l = 2*s + 8. Let r be -2*(-2)\/8*l. Suppose k - 7 = 8. Sort 1, k, r in increasing order.\nAnswer: 1, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 + -91. Let f be (-8 + s)*(-15)\/6. Suppose 4*w = -o + 10, -2*w = -f*o + 3*o. What is the smallest common multiple of w and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4994570 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -3*b + 39 - 42, -s - 5 = 5*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -203213213 - -145?\nAnswer: -203213024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 20. Let z be a(-11). Suppose m - 137 = -i, i - z*i = -4*m - 112. Is i a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c + 16 + 3*c - 14*c**3 - 3*c + 11*c wrt c.\nAnswer: -42*c**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 74?\nAnswer: 3\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1875 (base 10) in base 2?\nAnswer: -11101010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.1 and 591.\nAnswer: 588.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1690741 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: Suppose -3*v - 24 = -9*v. Suppose 8 = v*b, -2*g + 5*b = -56 - 42. Let m = -31 + g. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -176*x + 1. Let c(n) be the third derivative of n**4\/24 + 9*n**2 - 3*n. Determine g(c(a)).\nAnswer: -176*a + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2354, -2337, -2390, -2549, -2850, -3329, -4022, -4965?\nAnswer: -6194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1138.041506 from -6.\nAnswer: -1144.041506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/(-312))\/(1\/12). Is -0.08 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9655894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 54290*r - 6322*r + 0 + 7251*r + 8*r**3.\nAnswer: 8*r**3 - 53361*r + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2987, -3012, -3041, -3074, -3111?\n\"Answer: -2*p**2 - 19*p - 2966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/3)\/(4\/(-72)). Let b(u) = 3*u + 6. Let o be b(-4). What is the units digit of (16\/n)\/((-4)\/o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 701 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56389017 to the nearest integer?\nAnswer: 7509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-9)\/(-24) + (-100)\/(-8). Let f = -18 + 33. Suppose i - z = -f. Sort -9, -3, -5, i in descending order.\nAnswer: -3, i, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 2*z - 168 = 0. Suppose -z*h = -5*h - 6289. Round h to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.987 - -10. Let t = 5.013 - b. Sort t, 1, -3.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.2 - -34. Let q = h + -1.8. What is the second biggest value in q, -1\/4, -4\/3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 14?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -0.2, 1\/3478 in decreasing order.\nAnswer: 4, 1\/3478, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) + sqrt(660)\/sqrt(192))\/(sqrt(50)\/(sqrt(10) - sqrt(160))) - (sqrt(495)*-4)\/(sqrt(135)\/sqrt(3)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456077312 by -228038656.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61595 is divided by 622.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iifnfffiiiffiiffifi. Give prob of picking 3 i.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/1*((-35)\/14)\/(-5). Is 2 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41.63544 litres?\nAnswer: 41635.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from byqqnqynqqqnnqnno?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -584, -582, -580, -578?\n\"Answer: 2*t - 586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wcw when three letters picked without replacement from wmtwc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/525 + (-414)\/(-6440))\/(10\/(-9)).\nAnswer: -3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 1\/9, -1\/3, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160*k + 5*c + 13 = 161*k, k = 7*c + 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 21068 and 157.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5435292.\nAnswer: 2, 3, 19, 31, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 4*w = 1116. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25\/4, -1\/10, 0, 1 in decreasing order.\nAnswer: 25\/4, 1, 0, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 157*u**3 + 20 - 15*u**2 - 5*u + 5*u - 152*u**3.\nAnswer: 5*(u - 2)**2*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781330.\nAnswer: 2, 5, 11, 7103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 6:51 AM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(5 + (-80)\/15).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 5*m - 3)*(-105*m + 40*m + 44*m) as w*m + h*m**2 + f and give h.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 9 = 40*j + 286 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16842.1 + 16842. Sort 9\/43, o, -1\/6.\nAnswer: -1\/6, o, 9\/43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 13*h**2 - h - 1. Let n be 9*-1 + (-10)\/5. Let y = -12 - n. Determine k(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0047778 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -8. Suppose 7*p - 20 = z*p. Let x(j) = -j + 4. Give x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*v**(-1))**(-1\/5)*(v**(2\/11)*v*v\/(v*v**(-2\/11)*v)*v*v)**(-4\/7) assuming v is positive.\nAnswer: v**(-2061\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2704\/78*((-12)\/(-14))\/((-472)\/413).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 - 258 = -9*q. Is (-4 - 100\/(-15))*q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2. Let b(k) be the first derivative of k**5\/20 - 3*k**2\/2 - 1. Let w(q) be the second derivative of b(q). Calculate w(t(h)).\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2553.009 seconds?\nAnswer: 2553009","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20484 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 4267764.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -149\/18984 and 49\/276?\nAnswer: 436632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a + 282 = 2*a. Let j = 19 - a. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11652 and 30.\nAnswer: 58260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -126c5bc (base 14) to base 13\nAnswer: -1ab729a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 43*x + 53. Let q be d(-22). Find the second derivative of 515*j**2 - q*j**2 - 6*j**4 + 6*j + 3*j wrt j.\nAnswer: -72*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 10) in base 4?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -252 less than -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f + 25. What is g(7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -378 - -378. Suppose -a - 17 + 18 = i. Let h(w) = -18*w**3 - w. Determine h(a).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-15))\/((-30)\/(-75))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 13 - (2 + -5104 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5151 by -1717.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 z when four letters picked without replacement from {z: 3, m: 5, b: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45035 is divided by 8990.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.7 - 15.69745. Round d to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 34565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**6\/360 - 2*v**4\/3 + 7*v. Let u(c) be the third derivative of n(c). Let w(r) = -2*r. Determine w(u(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101348866 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2\/6*9. Let o = -9 + 11. Suppose 2*a = -o*a + 80. Solve a = v - h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 4149.\nAnswer: 8298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8784530, -17569059, -26353588, -35138117, -43922646, -52707175?\nAnswer: -61491704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 770 - 761. What is the biggest value in z, 11, 0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 12 = 0, 159 - 1039 = -5*k - 5*o. Let h = k - -40. List the prime factors of h.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + 0*l + 5*l)*(3*l**2 + 4*l**2 - 3*l**2) - 3 - 2*l**3 + 3 + (-4*l**3 + 2*l**3 + l**3 + 2*l)*(7 + 5 - 2).\nAnswer: -8*l**3 + 20*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 4 + 4 + (-1 + 0 + 2)*(-2*m - 2 + 2)*(1 + 1 + 3).\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*k - 4*k**4 - 58862204 + 58862199 + 7*k**4 + 9*k**2 in the form c*k**3 + n*k**2 + g + a*k + v*k**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, -2148, -4 in ascending order.\nAnswer: -2148, -4, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/(1*(-3)\/27). What is the highest common factor of s and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-24)*4\/((-320)\/24)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*c**2 - 30*c**2 - 2*c**2.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 40 = 5*a, -y - 2 = -11*a + 15*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9 = -z, -5*b = -2*z + 6 - 15. Suppose -4*l = -12, -g + 2*l = -b*g + 72. Is g a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxxuxxxxxxxxuxxxxx. Give prob of sequence xx.\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 + 7 = -2*y + 5*f, 4*y - 5 = 5*f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let k(b) = 706551*b**2 - 3. What is k(x(p))?\nAnswer: 706551*p**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2017 - 431.1017. Round j to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 200*v - 168. Let p be w(13). What is the greatest common divisor of 32 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 158 + -107. Find the first derivative of -13*k - p*k + 59 + 3*k + 7 wrt k.\nAnswer: -61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 divided by -28?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 734 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 97, 195, 321, 469, 633, 807?\nAnswer: 985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t - 35*t = -3*p + 5, -6*p - 40 = 2*t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5305*m - 10789. Let g(s) = 26526*s + 53910. Let p(a) = -5*g(a) - 24*q(a). What is the first derivative of p(o) wrt o?\nAnswer: -5310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (31 + -1)*(-8)\/(-12). Let l be (4\/6)\/((-3)\/(-18)). Calculate the highest common divisor of u and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmy when three letters picked without replacement from {y: 1, k: 1, o: 2, j: 1, m: 2, d: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 82948723063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1820\/3330 + (-4)\/18. Let g = 206\/407 - y. What is the second smallest value in 0.5, g, -3, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 5. Let h = 3 + 18. Let s = -20 + h. What is the third smallest value in s, 2, z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3 - 237*g**2 + 4953*g - 8910.\nAnswer: -3*(g - 2)*(g + 55)*(2*g - 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, r: 1, s: 1, y: 1, d: 2}. What is prob of sequence zsy?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68254 less than or equal to 68254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98591 and 1520.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, 0.8, -2\/7, 2\/7, 3\/85?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6230, 6228, 6226, 6224, 6222?\n\"Answer: -2*p + 6232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 11*w + 23821 - 23834, 3*i + 3*w = 21 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/4)\/y*y)\/y)**(2\/31)*y**(-6)*y**(-7)\/y*y*(y**(-12)\/y**(-7))**(2\/49) assuming y is positive.\nAnswer: y**(-40359\/3038)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 436438597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1402000 rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 8*f**2 + 4*f - 5. Let r be g(-3). Let l = 0.2 - 0. Let n = 0.5 - 1. Which is the second smallest value? (a) r (b) n (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -3, -396, -1.12, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + n**3 + 5*n**3)*(-6 + 1 + 0).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 5*u = 22, 0 = -10*p + 1137*u - 1135*u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 231104 and 86664?\nAnswer: 693312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:25 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w**2 - 4. Let t(f) = 15*f**2 + 9. Let a(i) = 9*s(i) + 4*t(i). Let r(q) = 7*q. What is a(r(j))?\nAnswer: -588*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.852 + -1.852. Which is the third smallest value? (a) 0 (b) r (c) -21 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 11. Suppose -5*t = -b - 1. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1 (b) 18.1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = d + 8. Let c = 1569 + -1567. Let x be ((-3)\/((-6)\/11))\/(c\/d). Put 4, -4, x, 5 in decreasing order.\nAnswer: x, 5, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95570 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**7\/56 + s**6\/360 + s**5\/120 + 21*s**3\/2 - 14*s**2 - 2*s. Let c(u) be the first derivative of x(u). Give c(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.44 - 47.86. Let k = -54.68 - n. What is k rounded to 1 decimal place?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123769 - -75.9.\nAnswer: 123844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2. Let d(b) = -5*b**2 + 3*b - 2*b + 6*b**2. Suppose 2*z - 6*z = 12. Let l(s) = -2*s**2 - 3*s. Let k(v) = z*d(v) - l(v). What is r(k(x))?\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 143371 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1498, -2993, -4486, -5977, -7466, -8953, -10438?\n\"Answer: g**2 - 1498*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g. Let p(n) be the second derivative of n**4\/6 + 247*n**3\/6 + 17*n - 18. Give p(f(z)).\nAnswer: 2*z**2 + 247*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*l**4 - 136*l**2*x - 4*l*x + 5*l - 2*x wrt l.\nAnswer: -48*l**2 - 272*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001007 to 7 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*r - 10*g - 24, 0 = -4*r - 2*g. Solve 5*x - 2*a = 13 - 3, x - 4*a - r = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3463, -7940, -12417, -16894, -21371, -25848?\nAnswer: -30325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.26469 times 0.4\nAnswer: -0.105876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (117\/(-390))\/(3\/(-4)). Let s = 0 - 0. What is the closest to s in m, -0.2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 - 9. Let x be (5 - 4)*(-1 - 2). Put x, v, 3 in descending order.\nAnswer: v, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 967356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**3 - 31*d**2 + 2*d + 1. Calculate l(8).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.4209cm in meters?\nAnswer: 5.804209","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yvivviyvivvv. What is prob of sequence vvi?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 91 + -99. Let f = 71 - 55. Let s = f - 14. Which is the closest to l? (a) -2\/17 (b) 2\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u**2 + 243*u + 107. Calculate t(22).\nAnswer: 613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9466\/15*1\/(6\/(-9)). Let w = h + 952. Is w bigger than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 34, 52, 88, 148, 238, 364?\nAnswer: 532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f - 102 = 7*f. Let c(r) = 27*r**2 + r - 69. Is 30 a factor of c(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17632844 and 38.\nAnswer: 335024036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 3. Let u = -1 - 2. Let n = u + l. What is the smallest value in n, 4, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03 * -1.5\nAnswer: -0.045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + (-31418)\/805 + (-4)\/7.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 12*o**2 - 19*o - 10. What is u(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.4 times 170.5?\nAnswer: -3137.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2013.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**3 + 38*i**2 + 41*i + 762. Calculate the smallest common multiple of 651 and y(-12).\nAnswer: 3906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 889*c + 14340. Calculate r(-16).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5388 + 2024 = 2*t. List the prime factors of t.\nAnswer: 2, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.47? (a) -86.2 (b) 5 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*n - 255*n - 275*n + 790*n - 17*n**3.\nAnswer: -17*n**3 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a millisecond in microseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001107 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + (-772)\/(-12). Suppose 5*l - s = l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 9885 - 9865 = b. Let x(q) be the second derivative of 0*q**2 - q + 1\/9*q**3 + 0 - 1\/18*q**b. Solve x(a) = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 10. Suppose -o*d + d + 2*d = 0. Sort d, 4, -5 in increasing order.\nAnswer: -5, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -22100?\nAnswer: 22042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9667691 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/((-3)\/(-2)) - 10\/(-7). Is -1 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 28600386?\nAnswer: -3\/4766731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 2. Suppose -2*y + 4*v - 4 = 0, y + 2*y - v = -u. Let g(r) = -3*r**2 - 2*r + 2. Calculate g(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*a**2*p**3*s**3 - 5*a**2*p**3*s + 2*a**2*p**2*s**2 + 114250*a**2*s**3 + 443*a**2*s**2 + 11*a*p**3*s**2 + 4*a wrt s?\nAnswer: 60*a**2*p**3 + 685500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-17)\/3*62\/(-527). What is the fifth biggest value in -5\/6, a, -72, -3, -1\/3?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -28028 - -13887. What is g rounded to the nearest one hundred?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28974*j - 29803*j + 11443 = -76431 for j.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -71*l**4\/24 + 5*l**3\/6 + 31*l**2. What is the units digit of m(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -124\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -14551 and -7369 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 + 10\/(310\/279)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302273 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 493? (a) -1 (b) 2\/7 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a day in minutes?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4575.7872 rounded to the nearest 10?\nAnswer: -4580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.04, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1275, 720, -329, -1872, -3909, -6440, -9465?\nAnswer: -12984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -450 = -7*t + 726. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 5:07 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 487049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24090399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + 6\/3. Let l be 5*(z - (-39)\/(-15)). Let u(f) = -8*f**3 + 7. Let q(i) = i**3 - 1. What is l*u(n) + 14*q(n)?\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8*(-4)\/5 + 402\/30\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*l - 37*l + 113*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 0) + (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3127320 and 16644.\nAnswer: 59419080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00038939 rounded to six dps?\nAnswer: -0.000389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -33*w**2 + 126*w - 21. Let o(y) = -8*y**2 + 30*y - 5. Let t(s) = -5*c(s) + 21*o(s). Let h(l) = 26*l. Give t(h(b)).\nAnswer: -2028*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2122017608?\nAnswer: 2, 8429, 31469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3947.\nAnswer: 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 365 = -h - 4*h, -150 = -2*j - h. Suppose 0 = 3*z + 3*y + 201, -3*z + 137 = -5*z - 3*y. Let c = j + z. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -0.1, 2\/11, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 76\/(-190)*5\/19.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j - 1. Let d(z) = 17*z**2 + 6*z + 30. Let w(s) = 14*s**2 + 6*s + 25. Let f(y) = 6*d(y) - 7*w(y). Calculate -f(h) - 4*m(h).\nAnswer: -8*h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.84 - -0.16. Let n = m + -12. Which is the second biggest value? (a) n (b) 2 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (83 - (-13 + 38) - (3 + -16)) + -3.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 21080 - 17806 + 33266 = 0. What is the greatest common divisor of 20 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**4\/12 + 2*a**3 + 7*a**2\/2 - 2*a - 6. Determine c(10).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j - 8. Let v(r) = r**2 - r - 2. Let f(c) = l(c) - 4*v(c). Let w(u) = 2*u**2. What is w(f(i))?\nAnswer: 32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*r + 4 + (3 + 2*r - 3)*(5 + 1 - 5) - 1 + 1 + 2*r - 4*r + 2*r + 0*r)*(0*r + r + 0*r)*(-r**3 + 5*r - 5*r).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4071.\nAnswer: 3, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 11\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, t: 7}. What is prob of sequence dt?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -77*y - 77*y + 152*y. Let z(o) = 2*o + 3. Determine f(z(w)).\nAnswer: -4*w - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-16)\/(-56) + 150\/14. Let y = a - -8. Calculate the remainder when y is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 15) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1216896*m + 30*m**2 - 1216896*m.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (c**2 - 3*c + 3*c)*(-216*c + 70*c + 64*c)*(-3*c + 0*c - 2*c + (-2 - 2*c + 2)*(-2 + 1 + 3)) to h*c**2 + g*c**4 + t + k*c**3 + q*c and give g.\nAnswer: 738","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -5*v - 32. Calculate the smallest common multiple of v and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7790)\/(-2337)*42\/1950*5)\/((-1)\/3)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**5\/60 - 7*s**4\/24 + s**3\/6 - 8*s**2. Let o be x(7). Which is smaller: o or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16*a**3 + 2*a + 1. Let v = -14 - -13. Let g be t(v). Let w be (-15)\/(-6)*18\/g. Solve -n - 12 = -3*h + w*n, 4*h - 16 = -4*n for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 386794695?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*i + 57303020 = 0, -19101016 = d + 17*i - 21*i. What is d rounded to the nearest 1000000?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/5 + (42\/15 - 2). What is the remainder when 32 is divided by -5*((-315)\/25)\/j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50572552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n - 11. Suppose -2*o + 3*g + 2*g - 21 = 0, 5*g - 5 = 0. Let x be f(o). Solve a + 25 = 4*m, -x*a = m - 4*a for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6834643, 27338629, 61511939, 109354573, 170866531, 246047813, 334898419?\nAnswer: 437418349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*w + 3*w + w)*(-w**2 - 2 + 2) - 2*w**2 - 3*w**3 + 2*w**2)*(-7 - 22 - 3).\nAnswer: 128*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15\/2 or 515?\nAnswer: 515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1076 - 1069. Let l(m) be the second derivative of m**4\/12 - m**3\/6 - 3*m**2 - m. Let s be l(f). What is s rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -932*t**6\/3 + t**4\/2 - 29*t**2\/2 + 9*t + 379. Find the second derivative of g(l) wrt l.\nAnswer: -37280*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6572415262.\nAnswer: 2, 7, 1399, 335567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/48)\/((-2)\/(-40)). Solve v + 2*h = -3*h + 5, 4*h = -t*v + 25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 757466 is divided by 748?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/44 + (-13)\/(-2). Solve x = i*x - 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(sqrt(7) + sqrt(7) + sqrt(21)\/sqrt(3)) + -2*-1*sqrt(19))**2.\nAnswer: 931\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4857 + 4860. Suppose -2*y + 11 = -19. Let w be ((-1)\/y)\/(3\/(-9)). What is the closest to 0.1 in m, 2\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10144 - -10149. Solve -p*t + 30 = 4*h - 7*t, 2*h = -2*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2 - (-65)\/10) + (2 - 27). Let b(z) = -z**3 + 5*z**2 - z + 7. Let y be b(5). Let g be -4 + y + 1 + -20. Which is smaller: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2 - (-38)\/4. Let p = 16 + 22. Suppose 8 = -4*w, 0*t = 3*t + 5*w - p. Solve 5*n = -2*y - r, 2 = 5*y - n - t for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -18841528.6 and -180289.\nAnswer: -19021817.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 9. What is d in -3*d - d**c - 2*d**3 + 4*d + 6*d**3 + 4*d**2 = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17061800, 34123605, 51185412, 68247221?\nAnswer: 85309032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z - 17. What is p(-7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 + u + 2. Let w be c(-1). Let l(q) = 2264*q**2 + 8*q + 8. Let p be l(w). Round p to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/18 - (-994845)\/522. Calculate the greatest common divisor of y and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -12.4. What is the nearest to 0 in l, -1\/4, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*p + 22 = 0, 3*q - p = -2*q + 46. Find the third derivative of -q*h**2 + 2*h**2 - 4*h**2 + 12*h**5 wrt h.\nAnswer: 720*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90 and 1530.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v + 4. Let l(r) be the second derivative of -r**3\/3 - 2*r + 5. Give l(z(i)).\nAnswer: -8*i - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*(((f**(6\/7)*f)\/f)\/f)\/f*f**(-8\/9)*(f**(-7)\/f)**(-37) assuming f is positive.\nAnswer: f**(18583\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 47*v + 390. Give x(-23).\nAnswer: -691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1290942753 to the nearest integer?\nAnswer: 35930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 104046483.9999704 + -104046376. Let g = -108 + q. What is g rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -118.4 in 1, 0, -5, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l. Let u(w) = 3*w. Let m(f) = -8*r(f) + 3*u(f). Let g(d) = 6*d + 1. Calculate g(q) + 2*m(q).\nAnswer: 8*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25456929.\nAnswer: 3, 23, 137, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/16293 or 0?\nAnswer: -1\/16293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11)\/(-4) + -2)*-20. Let y = d - -48. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57*l + 61*l**3 - 29*l - 113 + 366 - 28*l with respect to l.\nAnswer: 183*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16610924333\/5391111942 + 72\/2154721. Let x = -120\/139 + l. Find the common denominator of x and 81\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -107*u**2 + 15407*u\/2 + 36.\nAnswer: -(u - 72)*(214*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41725896 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 e when two letters picked without replacement from {r: 1, j: 1, e: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21818.88 milligrams to micrograms.\nAnswer: 21818880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 1368 = -1361 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:09 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2221102 (base 3) in base 16?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = j, 1 = -o - 3*j + 7. Let i = 97 + 36. Suppose o = -5*c + i. Does 9 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -47 in -1, 0.1, 159\/8, 0, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 75070535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-180)\/(-50))\/9)\/((-6)\/300)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-148490)\/8215 + -56 - -74?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2788 - -3328. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 1341065.\nAnswer: 1341065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 0.09197?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(245)*-2 + 3 + 2)*-5)**2.\nAnswer: -56000*sqrt(5) + 402000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 - 35*s + 35*s. Let d(m) = 32*m. Give d(y(f)).\nAnswer: -64*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5. Let t be u(0). Let b(l) be the second derivative of -3*l**2 + 6 + 7\/6*l**3 + 19*l - 1\/12*l**4. Give b(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1*(-1 - 3). Let k = 1595 + -1586. Solve 0 = t - s + k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -54492, -112738, -170970, -229182, -287368?\n\"Answer: y**3 + y**2 - 58256*y + 3762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 199502 or -12?\nAnswer: 199502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000646 to 7 dps.\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 5*x + 2. Let n be (0 + 1)\/((-5)\/(-10)). Let b be i(n). Is 22\/3*(-6)\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**35)**(9\/4) assuming c is positive.\nAnswer: c**(105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 921798 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 32 - (-37 + 19 - -5).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 6*z**2 - 10*z + 5. What is the tens digit of q(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -3749\/5 (c) -1\/4 (d) -1\/2 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 5*t = 5*w + 17, -4*w - 5*t + 33 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -1\/8*p**4 - 3*p**2 + 0*p + 3\/20*p**5 + 0 + 0*p**3. Let k be m(2). Solve -7*u + q - k = -2*u, 20 = -5*u - q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*m = 5*z, -z + 5*m - 3 = 0. Let o be 9\/(-231) + z\/11. Which is the second smallest value? (a) o (b) 0.3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107409, -0.11, -0.3 in descending order.\nAnswer: -0.11, -0.3, -107409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1810 is divided by 491.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**4 + 0*q - 91*q**2 + 92*q**2 - 2*q - 76*q**3 in the form f*q**2 + x + o*q**4 + z*q**3 + y*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.2+-0.43\nAnswer: 2.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 3*a + 3*a**2)*(-2*a**2 + 0*a**2 + 0*a**2) + (-3*a**3 + 0*a**3 + a**3)*(a - 2*a - 7*a).\nAnswer: 10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*z = 116 - 4, 2*q = z - 71. Let m = q - -45. Suppose -5*i = 3*r - 4 - 28, -2*i = -5*r + m. Solve 3*h + r = -8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29\/7 - -247\/63. Let l be (-4)\/22 + (-3 - 542\/(-198)). Let q = 11\/4 - 5\/2. Which is the nearest to g? (a) l (b) -3\/8 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 90 = 5*k + 7*l, -18 = 4*k - 2*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**2 - 134*w**2 - 95*w**2 - 181*w**2.\nAnswer: -411*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3321 - 110020?\nAnswer: -100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 345184387 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-3*j**4 - 2*j**4 - 2*j**4) + 5*j**4 + 5*j**4 + 20*j**4 - 2*j**4 - j**4 - j**4 as x*j + w*j**2 + a*j**4 + q*j**3 + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 31*j + 7. Let x be d(10). Let m = x + -148. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (-1 + 0 - -8) + (-1000 - -1000).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - -15) + 5 - 11 - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13805 + 937 = 13*i. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 23, 16, -5, -46, -113?\nAnswer: -212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 0 + 4*k - 15 + (-7*k + 4*k - 5*k)*(3 - 2 - 2) - k + 6*k - 2*k + 2*k + 0*k - 3*k in the form h*k + g and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -17.63649940431.\nAnswer: 17.83649940431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 55 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8242522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 65303577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -0. Let u(m) = 3*m + 6. Let o be u(-3). Sort o, 3, l in descending order.\nAnswer: 3, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 46*a + 41. Determine u(-46).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801831515?\nAnswer: 5, 7, 197, 8293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1648 + 4?\nAnswer: -1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -3*m. Suppose m = -2*b + 1315 - 8899. Does 27 divide b\/(-44) - 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -539, -1050, -1585, -2144, -2727, -3334?\n\"Answer: -12*r**2 - 475*r - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -121, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 14) + -22 + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 93, -7, -5.\nAnswer: -7, -5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*w - 14*w + 9*w)*(-w + 2 - 2)*(3 - 3 + 5*w) to the form u + n*w**2 + g*w**3 + m*w and give g.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 - 155. Sort 0, z, 4.\nAnswer: z, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -130147872 and -55.\nAnswer: -130147927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -5 (c) -1\/4 (d) -854 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 8:03 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 436887467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4\/6*21\/28*6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1900950 and 37\/9614.\nAnswer: 20910450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/1639 at least 1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -17 (b) 3\/4 (c) 3 (d) -5 (e) -1 (f) -0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -7*c - 1. Calculate the remainder when v(-1) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 16*i**2 + 24*i + 277. Let p be k(7). Solve -1 - p = -q + 4*u, 0 = q + 4*u - 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 56cd + 57?\nAnswer: 5724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(104)\/(-2*sqrt(288)) + 2 + 1*(-5 + sqrt(572)\/(sqrt(11) + sqrt(33)\/sqrt(3)))))**2.\nAnswer: -275*sqrt(13)\/2 + 71725\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + 421*m - 421*m + m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 350*k - 28854. Determine z(-211).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1354651 rounded to the nearest 1000?\nAnswer: -1355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*v**2 + 7*v**3 - 87*v**2 + 15*v - 6*v**3 + v**4 - 90*v**2 + 259*v**2 to k*v**2 + z*v**4 + g + s*v + p*v**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**3 - g**3 + 6*g**3 + (g + 1 - 1)*(2*g**2 + 0*g**2 - g**2) + 12*g**2 + 16 + 2*g**3 - 12*g**2.\nAnswer: 4*g**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 201825.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17902.3, -1.\nAnswer: -1, 2, 17902.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 11. Let i be t(16). Suppose -7*u + i = -2*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -220.94 + 224. Let m = s + -0.06. Which is the biggest value? (a) m (b) 1\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c - 19. Let j(z) = -z + 6. Let m(n) = -8*j(n) - 3*u(n). Let g(r) = 3*r + 5. What is -11*g(q) + 6*m(q)?\nAnswer: -3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 10*l + 26. Let n be s(8). Solve 4*r + n = 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.333 and -202?\nAnswer: -2087.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from {j: 2, y: 10}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 9*d - 3. Let m be j(9). Let f(x) be the second derivative of x**5\/20 + x**4\/3 + 5*x**3\/6 + 3*x**2\/2 + 3*x. Determine f(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 - 9*l**2 - l + 6. Let x be k(9). Let b = x - -10. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b + 109714 = -3*b - 263296. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuktwwuwwt. Give prob of sequence utuz.\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -3523.59734.\nAnswer: 3522.59734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 32 = -4*t, -3*r = -3*t - t + 27. Let v(p) = p**2 - p + 2. Calculate the smallest common multiple of v(t) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 - -26. Suppose -a - 15 + i = -d, -5 = -a - 4*d. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.973 - -3.89?\nAnswer: 0.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -r**9\/7560 + r**5\/40 - r**4\/6 + 3*r. Let g(h) be the third derivative of w(h). Differentiate g(v) with respect to v.\nAnswer: -8*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 r, and 1 n when three letters picked without replacement from xxrnxxiaiiivxi.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 3)*6 - (-3 + sqrt(1088) + 0).\nAnswer: -2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1801 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: What is 24669455 to the power of 1\/3, to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 41*r - 431. Let o be i(11). Is 39 a factor of o\/6*(-1947)\/(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 0*k**2 - k**2)*(2 + 1 + 0) + 8 - 5 - 9 - k**2.\nAnswer: -10*k**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*r - 5*q, -r - r + 5*q + 20 = 0. What is the units digit of (r - 2)*(-16)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 2\/(-6 - -4). Let c = 9 + -11. Put -3, c, f in decreasing order.\nAnswer: f, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94055.\nAnswer: 5, 13, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 180 - 49 = -27*p, l = -3*p - l - 23 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogooijooj. What is prob of sequence go?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 15 = -3. Let u = -9 + 19. Solve 0 = -3*x - z - u, -2 = -2*z + d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + v - 3 - 2*v + 1 - 1 + (2*v - 4*v + 0*v)*(4 - 6 + 0))*(0*v**2 - 4*v**2 + 3*v**2).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 312.28026\nAnswer: 1561.4013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 3816, -0.01?\nAnswer: 3816","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 3*o)*(33*o + 2 - 7*o**2 + 3 - 31*o).\nAnswer: 14*o**3 - 4*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.47 and -0.02.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -3, 32, -1\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lgo when three letters picked without replacement from {g: 2, f: 1, o: 2, m: 1, l: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 12*a**2 + 3*a - 57. Let w be m(25). Suppose 5*x - w = -823. Suppose -1467589 = p - x. Round p to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r + 5*a - 18 = -20*r, -4*a + 4 = 0. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 11. Suppose 0*n = -n + g. Suppose 8 = n*c - 3*c. Solve 2 = f, -2*l - 4*f - c = -0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3 - 3115170*x**2 + 6230346*x - 3115174 = 0. What is x?\nAnswer: -1557587, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1006 - 130203?\nAnswer: -126164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 32.\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 26*n**5 - 4*n**3 - 28*n**2. Let k(i) = 27*i**5 - 5*i**3 - 29*i**2. Let l(o) = -4*k(o) + 5*v(o). Find the third derivative of l(b) wrt b.\nAnswer: 1320*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1250571 and 10323.\nAnswer: 138813381","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 1068*b - 16576 = 0.\nAnswer: -518, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 5:48 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8957 - 214243 = -3*l. Suppose -331*d = -333*d + l. Round d to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -13*z - 11. Let l(r) = 13*r + 10. Let d(i) = 3*l(i) + 2*p(i). Let f be d(0). Solve -17 + f = -3*g - 4*h, 5*g - h = 15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 - -220. Solve 4*a = -3 + q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 22742 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 178 = -5*i, -6*i + 2*i - 152 = 4*v. Let c(x) = -x**3 - 33*x**2 + 33*x + 39. Is c(i) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**8)\/u)\/u**(4\/7))\/(u**(1\/13)\/u)**(3\/5) assuming u is positive.\nAnswer: u**(-3648\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 - 1) + 0)\/(-3). Let u(t) = t + 1. Let x be u(l). Solve -k - x = 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53938849*b**4 - 297329186 wrt b?\nAnswer: 215755396*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-16) - (-353)\/2. Let t(c) = 14 + 34*c - 6 - o*c - 7. Is t(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((8*c - 2*c - 2*c)*(-2 + 2 - 2) - c + 2*c - 3*c)*(16*c**4 - 27*c**4 + 39*c**4).\nAnswer: -280*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 124 or -0.226?\nAnswer: 124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -36. Let d be 6\/5*l\/(-3). Let o be (d\/12)\/(2\/(-90)). What is the highest common divisor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3346.5581 rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*t + 510 = -4512. Calculate the highest common factor of 144 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 - 238. Let z = 17 + w. Let t = 87.9999795 + z. Round t to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbaplpzwz. What is prob of picking 1 p and 1 a?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.09939g in nanograms?\nAnswer: 13099390000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*y + 419 - 54, y = 2*x + 248. Let a(h) = 19*h**2 + 5*h + 3. Let o be a(3). Let z = o + x. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 24 + 9 = 0. Let j be ((-4)\/3)\/(1\/d). Suppose -j*m = -29 + 5. Let i(u) = u**2 - 6*u - 1. Calculate i(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 29*v + 2. Let u(t) = -35*t - 38 + 17 + 19 - 12*t + 17*t. Calculate -3*r(z) - 2*u(z).\nAnswer: -27*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2236?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -25*y - 180. Let i be a(-11). Let j = -303 + i. Is j at least -209?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**2 - q. Determine y(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v - 5. Let h(t) = 14*t + 23. Let n(a) = 7*a + 11. Let r(b) = 6*h(b) - 13*n(b). Let j be (-1647)\/(-183) + -1 + -14. Give j*p(k) + 7*r(k).\nAnswer: -k - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1053 + 14.\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -89*b**3 - b**2 - 23*b - 8. Is o(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5 + 1 - p - 3. Let f = -1805 + 1794. Let g be o(f). Calculate the highest common divisor of 112 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23872794?\nAnswer: 2, 3, 11, 17, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*w**2 - 139*w**2 + 282*w**2 + 44*w to p*w**2 + r*w + d and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 54*t - 283. Let j be l(43). Calculate the greatest common divisor of 20 and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42 + -37 - ((8 - -1) + -4) - -16.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -399.7 - -423. Let o = k + 25.3. Let s = o - 49. Which is smaller: -2\/3 or s?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 405.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15 = -0*n. Let i = n - -8. Let y = i - 3. What is the closest to 2\/3 in -3, y, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*n - 8, -p - p + 10 = 2*n. Let o be (9 - (-3 + 4))*p. Solve -d + 3*k = 2*d + 6, o = -5*d + 2*k for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*k**3 + 81*k**3 - 76*k**3 - 4*k**3 + 2*k**3 + 0*k**3 + (4*k - 2*k + k)*(2*k**2 - 2*k**2 + 2*k**2) - k + k - 2*k**3.\nAnswer: -66*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*r + 30*r - 16, -3*b = -2*r - 10969. What are the prime factors of b?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3520)*-1 + sqrt(55) - sqrt(605)\/(sqrt(11) + sqrt(11) + 1*sqrt(11)))\/(4*sqrt(3564)*-6).\nAnswer: 11*sqrt(5)\/648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 u when two letters picked without replacement from llilpilluilpllllipli?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 - ((-2)\/(-1) - 2). Let n be 2\/(-3)*x\/2. What is the units digit of (0 - n)\/(1\/9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j - j - 3. Let t be 18\/15*(-290)\/j. Suppose -3*u - u = -t. What is the remainder when u is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(68) + -1 + sqrt(34)\/(-3*sqrt(200)))**2.\nAnswer: -59*sqrt(17)\/15 + 60077\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688, -1371, -2048, -2719, -3384, -4043?\nAnswer: -4696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/294028 and 101\/84?\nAnswer: 882084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 13*a - 5. What are the prime factors of p(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -2 - (-195)\/(-3). Let u be -5*(q\/35 - -2). Let t(n) = n**2 + 8*n - 8. Let h be t(-9). Which is the nearest to u? (a) 2\/7 (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1083241 - -2348060. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjrj when four letters picked without replacement from rhjhjhoojh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -244*y**4 + 3*y**3 + 1605*y - 7355548 with respect to y.\nAnswer: -976*y**3 + 9*y**2 + 1605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 9972544.720178?\nAnswer: -9972544.820178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:02 PM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -7\/1289 (c) -37 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8436051 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 204423991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -3)\/(-9 + -3 + (-1 - -12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 574, 1149, 1724, 2299, 2874, 3449?\n\"Answer: 575*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36722, 70928, 105138, 139352?\n\"Answer: 2*u**2 + 34200*u + 2520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -191 + 191. What is the nearest to r in 0.3, -5, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 644 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.000799+3.6\nAnswer: 3.600799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 16) to base 15\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/191 in 1, -1\/2, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rg when two letters picked without replacement from ddugcurcddccgccaudgg.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 441 + -24?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 12 = -4*g + 4*p, -4*g + 7*p = -483 + 490 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from xxqytt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1599*s + 1410*s - 2239*s.\nAnswer: 770*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6273669 and 194?\nAnswer: 12547338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9500 divided by 4?\nAnswer: -2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 186839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, 7487, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/3 - 0)*-3. Solve -o = 3*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + 1. Let q be 6\/15*12\/(-8). Let a = -2.73 - 2.27. Put a, q, i in descending order.\nAnswer: i, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 9*w**2 - 7*w - 8. Suppose k + 0*k - 8 = 0. Let h be f(k). Solve -4*u + 8 = -h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -59. Let g = 79 + -68. Let i be ((-8 - -3)*(-2)\/(-5))\/g. Which is the smallest value? (a) v (b) i (c) 3 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3 - 81)*(-6*u**5 + 3*u**5 + 2*u**5).\nAnswer: 88*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1100)*1*2.\nAnswer: 1 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Suppose -q + r - 33 = 132, -i*q - 2*r - 495 = 0. Let a = 244 + q. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 27*u + 1. Does 14 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8680 to the nearest one hundred.\nAnswer: 8700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/4 - 296699*c**2\/4 - 1186844*c - 4747440.\nAnswer: (c - 296715)*(c + 8)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13*(-18)\/(-585) + (-109526)\/(-10)?\nAnswer: 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-18) + (-18)\/81. What is the nearest to -1\/3 in 2, -0.1, 1, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 8. Let i = -1 + f. Suppose -i = -c - 2. Calculate the smallest common multiple of 8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -6\/11, -420?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*sqrt(17) - sqrt(153)\/(sqrt(54)\/sqrt(6)).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*f - 32. Is f even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1060385 + 4?\nAnswer: 1060389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -13140 divided by -6?\nAnswer: 2190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, t: 4}. Give prob of picking 2 t and 2 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 929 by 12.\nAnswer: 929\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -1 - (-118 - -86)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1462976569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 2*r + 4 + (4 - 4 - r)*(19 + 25 - 18) + 9*r + 84*r + 12*r.\nAnswer: 81*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 2*b = -35 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/13 - 76*k**3\/13 + 1034*k**2\/13 - 456*k + 936 = 0.\nAnswer: 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 4. Let u(o) = 3*o + w*o + o - 3*o. Let k(l) = -10*l. Let g(x) = -x. Let a(i) = -22*g(i) + 2*k(i). Give a(u(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 179172608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (14 + -24 - -21)) + 40.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699973.\nAnswer: 29, 24137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1732875, -1732738, -1732599, -1732458, -1732315, -1732170, -1732023?\n\"Answer: t**2 + 134*t - 1733010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**2\/2 + 11435*r\/2 - 375177 = 0.\nAnswer: 66, 11369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 3*i - 21 + 81 = -26*p - 156, 4*i - 5*p = 157 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of s**6\/45 + s**5\/10 + s**4\/6 + s**3\/9 - 19*s - 39. Let g(l) be the first derivative of c(l). Factor g(n).\nAnswer: 2*n*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 12.628, 4, 12, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 9 + 38*t**2 + 7 + 125*t**2 + 3.\nAnswer: 5*t**3 + 163*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14531 or 159838\/11?\nAnswer: 159838\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -319.1 and 0.1335.\nAnswer: -42.59985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -5. Let a be 12\/3 - f\/(-2). Calculate the remainder when 44 is divided by (((-180)\/a)\/2)\/(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -70589 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Let q = 30 + -51. Let w = q + 21. What is the second biggest value in 5, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 11:54 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1065 + 7474\/7. Let k = -8963378\/63 + 142279. Let i = g - k. Which is the smallest value? (a) 3 (b) 0 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428 is divided by 190?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 - 23. Let y = -7 + w. Suppose -y*q - 8*v - 10 = -3*v, 5*q - 10 = -v. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = 11*r + 23. Calculate the greatest common factor of 352 and r.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 19\/(-114)*(1 + -367). Solve 2*h + 57 - j = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + o + 223 = 0, 3*o - 86 + 451 = -5*v. Let q = -43 - v. List the prime factors of q.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 8:06 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-35)\/(-15)*(4\/70 - 0). Let r = -2 + 3. What is the second biggest value in x, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, 1\/6, -1, 5\/2, 26, 36?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2108*l**2 - 170. Let g(h) = 37*h**2 - 3. Calculate -170*g(z) + 3*y(z).\nAnswer: 34*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -8*t - 5. Let d(a) = a + 1. Suppose 5*w - 35 = -5*q, -q + 40*w + 9 = 42*w. Give q*d(g) + m(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261533 and 299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 10*b**2 - 12*b. Let u be m(-11). What is the least common multiple of (4\/5)\/(u\/220) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 + 50. Is (-2 + (-8)\/(-3))\/(o\/(-15993)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o**2. Let h(k) = -321470*k. What is r(h(x))?\nAnswer: -310028882700*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1194)\/4*(-8)\/(-12). Let n = -111 - p. What is the remainder when n is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.718 to one decimal place.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*b - 1010 = -77*b + 3167 + 1196 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 1657*a - 6. Let u(m) = 3*m + 1. Calculate -r(d) - 6*u(d).\nAnswer: -1675*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-2)\/8 - (-26)\/8. Let b be (-88)\/a + ((-14)\/(-6) - 2). Sort -5, b, 5 in increasing order.\nAnswer: b, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1471658 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 170682081 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24225367 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151 + 306 - 137 = -16*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((5 + (sqrt(275) - (1 + sqrt(275)))*1 - (sqrt(275) + 1 + -3 + -2*sqrt(275)*1)) + 4)**2.\nAnswer: 200*sqrt(11) + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16642*q**4*u**2 - 2*q*u + 751*u**2 - 7*u - 2 wrt q?\nAnswer: 199704*q**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29803 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 768.6?\nAnswer: 768.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 6*a**2 + 8*a - 3. Let m = -147 + 154. Let w be q(m). Solve w = 2*d - 0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -35. Suppose h*j = -t - 5*j - 24, 2*j + 5 = -5*t. What is the remainder when 6 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10}. Give prob of sequence llll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.914414 hours in days?\nAnswer: 0.95476725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tvvvklkvlllsellsl. What is prob of picking 1 l and 1 e?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/6, 4, 214, -1\/2, -8?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d. Let g(u) = 39*u. Calculate g(t(x)).\nAnswer: -156*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d, 3*d + 0 + 17 = 5*f. Suppose f*b = b + 30. Suppose 8*o + 24 = b*o. Does 6 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3569 and 137\/56028486.\nAnswer: 2409224898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 10*i - 7 + 23 - 3*i**2 - 1.\nAnswer: -5*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 26. Let p be -243*(-3)\/(g\/4). Let a = p + -49. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 591300 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x - 61 = 34 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 3:44 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1521 and 15072?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -215+907\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3*t - 4. Calculate r(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 22*z**2 + 36*z + 25. Let i be x(-26). Let h(w) = -i + 1793 - 302*w**2. Let s(f) = -2*f. Give s(h(v)).\nAnswer: 604*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27 * -0.4.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2559*i**2 + 5*i. Suppose -35 = 5*f - 5*p, 2*f - f + 15 = 5*p. Let o be y(f). What is o rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.006 * 3818.\nAnswer: -22.908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -39945 in decreasing order.\nAnswer: 2, 0, -39945","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*k + 4*a = 122 + 246, 0 = 4*k + 4*a - 32 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*b + 84 = 2*b, -b = -5*z + 163. Suppose 0 = 5*p - z - 258. What is the tens digit of (-94)\/(-3) - p\/(-87)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -14, 235, 71, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4269084920.0069 and 0.8.\nAnswer: -4269084919.2069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 7) to base 2\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(4*y - 4*y**3 - 4*y) + 0*y**3 + 3*y**3 + 0*y**3 + 7 + 2*y**3 - 7.\nAnswer: 13*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262686649 is divided by 7307.\nAnswer: 7306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 6*g**2 + g**2)*(-g**2 - g**3 + g**2) - 3*g**5 + 4*g**5 + 0*g**5 - 4*g**5 + 4*g**5 + g**5 - g**5 - 4*g**2 + 4*g**2.\nAnswer: 3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (251 - 26*b - 251)*(-2*b**2 + 5*b**2 - b**2) + 2*b**3 + 0*b**3 - 5*b + 3*b in the form r*b**2 + j + w*b**3 + u*b and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3472, -0.1, 4, -2, 27, -5 in increasing order.\nAnswer: -5, -2, -0.1, 4, 27, 3472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-633*j + 633*j + 1 - 46*j**2)*(3*j - 2*j + 0*j).\nAnswer: -46*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 0, -2*k = -4*t - 3*k + 4. Let j = t - -2. Solve -j*y = 2*w - 11, w - 4*y = -9 - 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 112*v + v**2 - 120*v - 176 + 207. Give y(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 240?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.0129847914 take away -0.1?\nAnswer: 47.1129847914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 705 divide 11388026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = 1547 - 4420. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, i: 4, a: 3}. Give prob of sequence iii.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g**(1\/6))\/(((g\/(g\/(g\/g**9*g)))\/g)\/g*(g\/(g\/(g\/(g\/g**(1\/4)))))\/g) assuming g is positive.\nAnswer: g**(95\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 404483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 141*l + 3794. Determine v(-36).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/5)*n)**(-42)*(((n\/(n*n\/(n\/((n\/n**5)\/n))))\/n*n)\/n)**(-6\/25))**3 assuming n is positive.\nAnswer: n**(-5112\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*n - 26 - 46 = 0. Suppose 3*b - 617 = -q, -q + 5*b + 2434 = n*q. What are the prime factors of q?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**6 + 125*d**3 - 2472*d**2?\nAnswer: 240*d**3 + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -1\/3, 3131, -1, 5\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*1\/(14\/(-1))*1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, x: 2, t: 10}. What is prob of picking 3 b and 1 x?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 times -0.0355?\nAnswer: -0.0005325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-10) + -11*57\/(-380). What is the closest to 23 in -0.3, 3, w?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00195735546 rounded to 4 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/2233 and -31\/1624?\nAnswer: 17864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/11 - 3)*6\/(-3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*n + 522*n + 442 = 0 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15296 is divided by 170.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -19, -1, 5, -386 in increasing order.\nAnswer: -386, -19, -1, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36564432, -36564435, -36564440, -36564447, -36564456, -36564467?\nAnswer: -36564480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-8\/3)*j)**8\/(j**(-1\/11)*j)**(1\/41) assuming j is positive.\nAnswer: j**(-7246\/1353)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/4 - 3*f**3 + 9*f**2\/4 + 3*f - 3.\nAnswer: 3*(f - 2)**2*(f - 1)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3 = -2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 135327 divided by 1713?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2758684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14 and 3241?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 + 0. Let m be (2 + (-46)\/24)*y\/12. What is the smallest value in m, -5, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25295 + -25296. Which is the second biggest value? (a) -1\/7 (b) f (c) 2\/9 (d) 3\/4 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 1555*i - 1551*i + 34 = 0, -v - 3*i = 23 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 9. Let g be -1 + 24\/(-27)*x. Let d = -739\/5057 - 3\/389. Which is the smallest value? (a) g (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 10 = 4. Solve -9 = -3*w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 48 + 4 + (2 - (6 - 7)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*v - 803 = 190*v - 5483 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 7:18 AM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 635206252 to the power of 1\/2, to the nearest integer?\nAnswer: 25203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 36 = -4*l - 1, -25 = -5*l. Suppose m*g - 87 = -f + 4*f, -76 = -4*g - 4*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: Simplify (u**7\/(u*u\/(u\/(u\/(u\/(u*u*u**(-2)\/u*u*u)*u))*u)))\/(u**(2\/3))**(-29) assuming u is positive.\nAnswer: u**(79\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g**3 + 177*g**2 - 637*g - 11. What is s(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 16, 11, -4, -262 in descending order.\nAnswer: 16, 11, 1, -4, -6, -262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -1 - (-2 - -2). Suppose n + w - 221 = l, -n + 8*w + 217 = 13*w. What is n rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 20, 29, 34, 35, 32?\n\"Answer: -2*s**2 + 15*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 8*x = 62, 63 = -140*w + 145*w + 3*x for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -1\/429, -5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2151)\/6*(-4)\/6. Let i = f - 2631\/11. Let p = -161.9 + 162. Which is the nearest to 0? (a) p (b) -1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1019 + -1)\/((-17)\/68). Let m = c - 8. What is m rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230*s + 196*s = -170. Let r(l) be the first derivative of 0*l + 11 + 0*l**4 + 8\/3*l**3 + 0*l**2 - 19\/5*l**s. Find the third derivative of r(c) wrt c.\nAnswer: -456*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252 is divided by 37.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/6 - -2)\/(158\/237)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*f + 3 - 1)*(1111*f**3 - 406570*f + 406570*f).\nAnswer: 2222*f**4 + 2222*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(200) + (((sqrt(200) + 0 - sqrt(200)) + sqrt(200))**2 + 3 - sqrt(200)))*2.\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - f + 5. Give m(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 19196686 a multiple of 1314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(450)*-2 - (sqrt(1800)*1 - (((-1*sqrt(500))\/sqrt(10) - sqrt(50)) + sqrt(50))))*-1)**2.\nAnswer: 42050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)*a\/(a\/a**(1\/6))*a**(1\/2)*a\/(a**(-4\/3)\/a)*(a*a**(6\/7)*a)\/a**0*a*a*(a\/(a*a**(-4\/3)))\/a*a*a\/a**(-9) assuming a is positive.\nAnswer: a**(403\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606133 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 57 = -3*m - 4*x, -m - x = -12. Let d be m\/54 - (-1267)\/6*91397. Round d to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j + 14*j = -6. Let p be j*(-3 - -2) - 5. Is 1\/(2\/p) + 195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1181090 a multiple of 610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f, -5*i + 4*f + 305 = 5*f. Does 13 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -10 + 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:21 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2. Suppose 5*m - 4 = m. Let z(r) = 9*r. Let a(h) = -h. Let p(b) = m*z(b) + 6*a(b). Give p(x(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8381 + -8300. What is the highest common divisor of f and 3753?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -242*t**2. Let f(p) be the first derivative of 4*p**3\/3 + 1192. Give f(z(o)).\nAnswer: 234256*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**2\/13 + 6882736*p\/13 - 5921506855712\/13.\nAnswer: -2*(p - 1720684)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 10 + 197*t - 10822*t - 9718*t to u*t + x and give u.\nAnswer: -20343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 663 - 571. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243806903, 243806905, 243806907, 243806909, 243806911?\nAnswer: 243806913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 545 + -545. Suppose -l = 1, -5*r = -i*l - 3*l - 5943. What are the prime factors of r?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 615499 - 0.0683009\nAnswer: 615498.9316991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 4*b + 5*a - 136, 3*b = -a + 102. Suppose -3*s - 325 = -8*s. Suppose 5*q - s = -5. Calculate the remainder when b is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12435 - 64?\nAnswer: 12351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24177680 and 21155470?\nAnswer: 169243760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -30871, 46, -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327927043?\nAnswer: 327927043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3779832.\nAnswer: 2, 3, 7, 149, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 4*s + 3. Let a(t) = t**2 - 7*t - 5. Suppose -21*b = -4*b - 51. Let c(j) = b*a(j) + 5*h(j). Let l(r) = -r. Determine c(l(y)).\nAnswer: -2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1\/4*100\/(-50). Suppose 152 = 4*s - 2*z, 2*z - c = 2*s - 79. Calculate the highest common factor of s and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Let n(u) = u**3 - 5*u**2 + u - 5. Let x be n(5). Let t be (-2 + f)*-1 + x. Put -3, t, 4 in ascending order.\nAnswer: -3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3*k + 614, -787 = -5*k + k + z. Let g = k - 153. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.469 + 1.469. What is the biggest value in 0, l, 85?\nAnswer: 85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 4)*(-4 + 6 + 4) + (3 - 2 + 0)*(6 + 0 - 1))*(-24 + 24 - 7*h).\nAnswer: 49*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Convert 525.3396 decades to years.\nAnswer: 5253.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -386, -20, 7, 6, -4, -3 in descending order.\nAnswer: 7, 6, -2, -3, -4, -20, -386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6802443, 13604900, 20407371, 27209862, 34012379, 40814928?\nAnswer: 47617515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/11)\/p)**(-1\/12) assuming p is positive.\nAnswer: p**(3\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4489\/5 + 895. Let s = -3 - d. Let c = -52\/5 + 10. What is the nearest to s in c, -3, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 12*t**5 + 50*t**4 - 434*t**3 + 752*t**2 - 360*t = 0?\nAnswer: -9, 0, 5\/6, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**2 + 460*c + 455 = 0.\nAnswer: -91, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 1\/(-1))*-2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**9\/y*y*(y**(-10)*y)\/y*(y\/(y**(2\/3)\/y)*y)**28 assuming y is positive.\nAnswer: y**(193\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 40 = -3*n. Is -7 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1220, 2526, 3918, 5396?\nAnswer: 6960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*5 + 1 + 1. Suppose 2*u = h*u - 20. Suppose -40 + 12 = -u*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273 + 1091. Suppose z - 276 = -17*o. Let m = 96 + o. Does 6 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363374 to the power of 1\/2, to the nearest integer?\nAnswer: 1168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5297 - 5297.5. Let n be (-35)\/(-42) + 1\/(-2). Which is the closest to g? (a) -3\/4 (b) n (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - -26 - 17 - (9 - -1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40 - -39. What is the closest to 1 in t, -6, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -612 (base 12) to base 5\nAnswer: -12003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-3\/11))\/n*n**(-8))\/(n\/n**6)**(-22) assuming n is positive.\nAnswer: n**(-1295\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/60 - k**4\/6 - 4*k**3\/3 + 31*k**2. Determine a(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -2. Suppose v = y - 5. Calculate the remainder when 29 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc07d7 (base 16) to base 12.\nAnswer: -458a073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50700197.\nAnswer: 50700197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 q when four letters picked without replacement from {q: 5, m: 2, a: 12}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 177*v + 1. Let m(s) be the third derivative of -s**4\/24 + 839*s**2. Calculate m(g(j)).\nAnswer: -177*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b**17)*b*b\/(b**(-2\/7)\/b*b*b) assuming b is positive.\nAnswer: b**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2455143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63554448 is divided by 445?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.8 equal to -686766?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 306 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + sqrt(1700) - (sqrt(2057) - (1 + sqrt(2057)))**2 - ((sqrt(68) - (((-1 + sqrt(68))*6)**2 + sqrt(68))) + sqrt(68)))*5.\nAnswer: -1360*sqrt(17) + 24830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31977 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5224 is divided by 35?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*-1*(sqrt(684) + -1) - (3 + sqrt(684) + 0 + sqrt(684) - (-2 + 1 + sqrt(684))))*6)**2.\nAnswer: 3456*sqrt(19) + 221872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from gdddgdggggxdggdxgg?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaajefs. Give prob of sequence fj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.07 + -4.27. Which is the closest to 0? (a) -2 (b) v (c) -3\/2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 4*h = 232, 2*n + 3*n + 290 = 480*h - 476*h for n.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (10 - 24) + (-51 - -14).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7002.5 + -7003. Let x = -1 - -3. Sort r, -1\/27, x, -2\/13 in descending order.\nAnswer: x, -1\/27, -2\/13, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 6*f + 5*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1534021 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1278 - 855 = -254*i - 101 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -425121 = -s + 4*m, -3*m + 2125697 = -1023*s + 1028*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**2 + 216*v - 14. Let b(n) = -n**2 - 72*n + 5. What is -8*b(y) - 3*c(y)?\nAnswer: -y**2 - 72*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-28))\/(1\/688). Let g(i) = i**2 + i + 7. Let p be g(6). Let m = b - p. Sort -1\/3, m, 2\/11 in descending order.\nAnswer: 2\/11, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/48)\/((-23)\/(-12)*(-4)\/2).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 1. Let k = 0.3 + 7.7. Let w = 7 - k. Which is the third biggest value? (a) w (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = -7*w + 2144. Calculate the remainder when w is divided by 84.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 1 + 5 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -4*h + 165. What is v(41)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-504)\/1440*-130*(-3)\/7.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 18. Let u(a) = -d - 11 - 2*a - a**3 + 7*a + 10 - 4*a**2. Give u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7535 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 13*z + 229. What is o(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 22. Let f be (4 + 0)*35\/(-100)*-5. Determine i(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 3\/20, -22.4 in descending order.\nAnswer: 158, 3\/20, -22.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3988894 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = b + 2 - 1, -3*b - 3*o = -3. Suppose 5*g - 2*g - 34 = -4*q, 3*g - b*q - 6 = 0. Find the common denominator of (9\/g)\/((-21)\/413) and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/138259 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15391335 divided by 543.\nAnswer: 28345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/19 - 6*l**3\/19 + 72*l**2\/19 + 216*l\/19 = 0?\nAnswer: -6, -3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of (-144)\/(-5)*130\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2535881 nanograms in tonnes?\nAnswer: 0.0000000000000002535881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 330 = 80. Suppose 6 = 3*k, -21*w + s*w - 66 = -k. What is the remainder when 54 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39172188 divided by -132.\nAnswer: 296759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(4*-2*sqrt(9) - sqrt(9)).\nAnswer: -sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22460775*n + 20198987.\nAnswer: 22460775","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2592 to one dp.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50504?\nAnswer: 2, 59, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 28. Suppose -5*h + 19 = 3*p, 3*p + 2*p + 3*h = k. What is the remainder when 42 is divided by (p + -5)*(-10)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -99*t + 36. Let m(h) = -41*h + 15. Let q(n) = 12*m(n) - 5*x(n). Let o(f) = -2*f**2 - 77*f. Give q(o(v)).\nAnswer: -6*v**2 - 231*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178 = -2*n + 4*n. Let c be 9\/(45\/10)*29. Let k = n - c. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -124587, -124641, -124797, -125109, -125631, -126417, -127521?\n\"Answer: -9*c**3 + 3*c**2 - 124581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Do 1385 and -26 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/150 - s**4\/20 - 2*s**3\/15 + 2*s**2 + 8*s. Factor q(u).\nAnswer: -2*(u + 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*l = -171, 318 = 5*z - 3*l - 99. Suppose -5*s = -6*s + z. Suppose -2*c + s = c. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**2 + 11*t - 2. Let m be z(2). Solve 0 = -3*r + 3, -4*i + m*r + 15 = -1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2\/3 + 38344*d\/3 - 7156864 = 0.\nAnswer: -38896, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10097 + 2261 = 0. Suppose 4*a + o = -3*y, -2*a - 2*y - 7104 + 926 = 0. Let k = a + 4428. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(116\/(-29)*6\/(-108))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 242186686 rounded to the nearest 10000?\nAnswer: 242190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 0. Let s be (0 - -2) + (q - 13). Let o be ((-8)\/10)\/(s\/(-10)). Which is the nearest to -2\/5? (a) 5 (b) o (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*n - 0*n + 55, -n + 4*y = 5. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*z + 724 = 0, -502 - 234 = 4*w - 2*z. Let h = 189 + w. Let l = -1 - -3. Solve -l*a + h*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 710 in -1, -15\/31, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 28 = 2*l, -82 = -3*i - 76. Calculate the greatest common factor of l and 522.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (5 - (-3 + 7)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 7. Give n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 136 * -1612\nAnswer: -219232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - 16. Let j = 2 + p. Let k = -3.8 - j. Which is the closest to 1\/2? (a) 1 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, -1.051782, 0.2?\nAnswer: -1.051782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6153 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 2\/7, -82, 1?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7034, -6863, -6406, -5525, -4082, -1939?\n\"Answer: 23*k**3 + 5*k**2 - 5*k - 7057","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - ((-8 - -9) + (7 - (4 + 0)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-1)\/(-6))\/(2\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*d**2)*(-39 + 25 + 15 - 38*d).\nAnswer: 114*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 34 = -14. Let p be (d\/1)\/((-3)\/(-3)). Find the common denominator of (p\/5)\/((-3)\/60) and 75\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1223*m = -6762*m + 273243 + 3707 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1631, 7, 5, -2, 4, 0 in increasing order.\nAnswer: -1631, -2, 0, 2, 4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h + 80. Let x be v(16). Let l be -2 + x\/66 - (-722)\/22. What is the highest common factor of l and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen quarters of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58 (b) -0.1 (c) -544 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/6 - 47*l**3\/6 + 1540*l**2 - 38514*l.\nAnswer: -l*(l - 42)**2*(l + 131)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 34 and 2.0677.\nAnswer: 70.3018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 5, -3, 353, 0, 313, 4 in descending order.\nAnswer: 353, 313, 5, 4, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2. Let v be j(-1). Let r be v*(-176 + 2 + -2). Calculate the highest common divisor of 16 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by 186?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.5 minus 0.1?\nAnswer: -200.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 166313 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -128625454 and -79.1.\nAnswer: -128625533.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -3, -5, 1 in descending order.\nAnswer: 1, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5376272, 0, 30 in ascending order.\nAnswer: -5376272, 0, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -9 (b) -1.4 (c) 0.5 (d) -4 (e) -22.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*f - 3*c + 32 - 30 = 0, -2*f - c = -151 + 145 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*v - 1170 = -136*v. Calculate the smallest common multiple of 55 and v.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5*w**3 - w**2 - 2*w + 3. Let a(u) = -99*u + 192. Let k be a(2). Let v(o) = -o + 1. Calculate k*v(i) + 2*h(i).\nAnswer: 10*i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {a: 7, y: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*s**4 - 1952191*s**3 + 213921018*s**2.\nAnswer: -120*s - 11713146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150103, -300204, -450305?\nAnswer: -600406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9142658l?\nAnswer: 914.2658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 2, 80 in increasing order.\nAnswer: 2, 39, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1047 - 1045. Let 0*c**p + 0 + 0*c**3 + 2\/5*c**5 + 0*c - 4\/5*c**4 = 0. What is c?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.41 - -0.01. Let y = a - -0.40000008. Let g = 0 - y. Round g to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - -413555?\nAnswer: 413583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6272.4784 and 0.173188.\nAnswer: 6272.651588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(3 - 40\/13). Suppose f = -2*f - 39000006. Let a be f\/g + (-12)\/78. Round a to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 567, 631, 693, 753?\nAnswer: 811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -745*p + 798 + 130*p**2 - 348*p**2 - 798.\nAnswer: -218*p**2 - 745*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/((-8)\/3)*-2. Let t = r + 1. Suppose t*g = 25 + 23. Does 6 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16245 is divided by 4046.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, p: 7, z: 1, c: 3, u: 6}. Give prob of sequence phcz.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1242 = 9*n. Suppose 5*w - 668 - n = 0. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*s - 84 = 16*s. Is s even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 623\/5 in 4\/9, -1, 2.7?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -343 + 136. Let r = 206.9 + v. Which is the nearest to -1\/3? (a) r (b) 5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912114 a multiple of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-2) + (-3*4)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 + -5. Suppose 114*k = 116*k + 6. Let z(l) = l**3 + 5*l**2 + 4*l + 4. Let u be z(k). Do u and r have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 13611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -2*m - 2*j + 6*j, 0 = 4*m + 4*j + 24. Suppose 11 = 4*p - 21. Let u = m + p. What is the closest to u in -0.2, 3, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 7, p: 7}. What is prob of sequence az?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*i + 14. Solve 5*d - i = -1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 7\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + 2. Let c be m(-3). Let k(n) = n**3 - 12*n**2 + 10*n + 15. Is 4 a factor of k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9089, -18178, -27267, -36356?\nAnswer: -45445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o + 35*o - 763 - 219 - 63 = 0 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030632310418 rounded to six decimal places?\nAnswer: 0.000306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c**3 - 5*c - 5. Let a(b) = -5*b**3 - 8*b - 8. Let m be (5\/3)\/((-4)\/12). Let k = 0 + 8. Give k*f(l) + m*a(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**3 - 12*l**2 - 12*l - 1. Let b(a) = -8*a**3 - 12*a**2 - 12*a. Let x(t) = 3*b(t) - 4*v(t). Factor x(h).\nAnswer: 4*(h + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 10*y**3 - 11*y**2 + 4*y + 3. Let w(g) = -10 - 5*g**2 - 4*g - 30*g**3 + 37*g**2 - 8*g. Let l(x) = -10*n(x) - 3*w(x). Factor l(s).\nAnswer: -2*s*(s - 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4526 and 7967 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42616 is divided by 2283?\nAnswer: 1522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 78. What is the remainder when 99 is divided by m(-27)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2057) + 2*sqrt(2057))**2 + -3)*-4 - (4*(2 + 3 + -1*sqrt(1700)))**2.\nAnswer: -101640 + 1600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 plus -39444?\nAnswer: -39683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1765.948338s to weeks.\nAnswer: 0.002919888125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + (6 - 2 - -13).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -4*l. Suppose -3*a - 24 = -l*a + 3*u, 3*u + 4 = -2*a. Solve 3 = -3*z, m = -2*m + a*z - 11 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - (-2)\/(-6)*3. Suppose 9 = 4*m + 5*g, -m - 2*g - 2 = -5*g. Let f = m + h. Put f, -8, -5 in decreasing order.\nAnswer: f, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y**2 - 6*y + 6. Let n be j(8). Suppose -3*g + 378 = -n. Suppose 3*f - 55 = g. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89447504 greater than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/4 and -36\/229?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 667159580 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15252 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000298191 rounded to 6 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 + 3*p - 3. Let q(z) = -4*z**2 - 7*z + 7. Suppose -742*j + 745*j - 1 = 5*i, -2*j - 5*i = -9. Calculate j*q(r) + 5*d(r).\nAnswer: 2*r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*g - 21*g + 368 + 5761 = -3811 for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-10)*(261 + -1). Let f = 195 - 48. Suppose a + x = 2*h - f, -a + 257 = 2*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -4*d + 609. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the third derivative of -r**6\/60 + 53*r**5\/60 - 7*r**4\/6 + r**3 + 9*r**2 + 16*r. What is the second derivative of t(h) wrt h?\nAnswer: -12*h + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by -154\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 271.667*13.\nAnswer: 3531.671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-1 + (-21)\/(-19)). Suppose 0*r + 4*r + 168 = 4*k, -3*r = -k + 40. Let o = -23 + k. Are z and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7814.7 + -7815. Sort 5, 0.9, 2, i, 3\/5.\nAnswer: i, 3\/5, 0.9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w. Let b be 14\/(-21) - (-2)\/3. Let s(k) be the third derivative of -1\/6*k**4 + b*k + 0 - k**2 + 0*k**3. Determine f(s(l)).\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/3))**(4\/9)*l\/l**(-2\/3)*l\/(l*l*l**(2\/21)\/l*l))\/((l*l*l**(-4\/7))\/(l\/l**(-4))*l**(-1\/2)*l**0) assuming l is positive.\nAnswer: l**(1643\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 18610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 23*s**2 + 5. Let h be u(23). Solve 0 = h*z - 20, -z - 4*z + 30 = 5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 46 + 6 = 0. Suppose 4*r - 3 = 3*r, -r + 3 = -s*h. Suppose -5*y - 4300 - 3000 = h. Round y to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52257532 (base 8) to base 4.\nAnswer: 222111331122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 1088*j - 291. Is w(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/38)\/((-6)\/(-8)*816\/(-918)).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/1 + (-63 - -60)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 7*y**3 - 5. Let a(z) = -z**3. Let h(m) = -3*a(m) - f(m). Differentiate h(c) with respect to c.\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 35*x**4\/9 + 116*x**3\/9 + 13*x**2\/9 - 56*x\/9 + 4\/3 = 0?\nAnswer: -3, -1, 2\/7, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/(10\/(-4)) - 2. Suppose -4*o + 12 + y = 0. Sort 1, 0, o in descending order.\nAnswer: o, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, 1\/4, -0.7, -1\/7, -4 in ascending order.\nAnswer: -4, -0.7, -1\/7, -1\/18, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2897*y**2. Let p(o) = 12*o**2. Determine s(p(w)).\nAnswer: -417168*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -4*l + 4*g - 10, 30 = 5*l - g. Suppose f + l*f = 84. Suppose -1 = -3*c - 5*b + 3, 0 = 3*b + f. Calculate the remainder when c is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17\/221 - (-128758)\/91 is divided by 174.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of (-83)\/(-1) + 2\/((-6)\/15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 22*x**2 + 12*x + 77. What is the tens digit of f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p**2 + 14*p + 8*p**2 + 12*p - 5*p**2.\nAnswer: 22*p**2 + 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2907 and 85?\nAnswer: 14535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -419, -1000, -2579, -5654, -10723, -18284, -28835, -42874?\nAnswer: -60899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -3 - 1. Let o(k) = -k**3 + 8*k**2 - 9*k + 6. Let q be o(7). Let s = q + 13. Calculate the remainder when s is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {f: 1, k: 1, l: 8, d: 3, y: 1, i: 2}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/((-88)\/3113) + -3. Let l be ((-112)\/u)\/(4\/(-15)). Factor -15\/2*y + 3*y**2 + 3 - 6*y**4 + l*y**5 + 6*y**3.\nAnswer: 3*(y - 2)*(y - 1)**3*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19115? (a) -4 (b) -3\/5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1018 is divided by 248?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*o = -5*o - 741 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x + 4 = 13*x. Solve -x*a + 6 = -3*b, -b = -5*a + 3*b + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let x = q - -7. Let a = 5.9977 - x. Round a to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 26*v + 52. Let d be k(-24). Suppose 273 = d*n - 563. What are the prime factors of n?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*i + z, 4*z + 55 = 5*i - 0*i. Let q(s) be the first derivative of -s**4\/4 + 8*s**3\/3 - 4*s**2 + s + 8. What is q(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178.3 + 25.3. Let t = f + 152.618. Let n = t + -0.118. Which is the nearest to -4? (a) -0.3 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 + 27. Let f = 0.17 - 0.27. Let u = 92\/3 + -32. Put u, f, v in increasing order.\nAnswer: u, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yayx when four letters picked without replacement from {a: 2, y: 4, x: 4, z: 1}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-2)\/(-3 + 3 + (-10)\/105)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((8\/10)\/4). Solve 0 = o*z + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, h: 3, r: 4, s: 1, f: 4}. Give prob of sequence sfr.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4631, 0, -42 in decreasing order.\nAnswer: 4631, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -57 - (-13 + (4 - -10) + -10 + 5)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 305 and 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3 + 0 = 0. What is the units digit of 103 - (d + -7)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-33)\/(-6)*(-24)\/(-66). Let g(y) be the first derivative of -y**3\/3 + 3*y**2\/2 - 2*y - 6. Give g(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 1\/2*y**4 + 46*y**3 + 2291\/2*y**2 + 4004*y + 2904 = 0.\nAnswer: -44, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110939677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 3*q - 12 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -18. Suppose -2*a = -4*h + 4, 0 = -5*a + 2*h + c - 1. Let q be 234\/(-4)*a\/(-3). What is the highest common divisor of q and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -156, -515, -1216, -2373, -4100?\nAnswer: -6511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2. Let i(l) = -400*l**2 + 11*l - 15. Let s(c) = -80*c**2 + 2*c - 3. Let d(o) = 2*i(o) - 11*s(o). Calculate q(d(y)).\nAnswer: 19200*y**4 + 1440*y**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*v**2 + 0 + 11\/2*v.\nAnswer: v*(v + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.151915g to nanograms.\nAnswer: 8151915000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = x - 192, -2*x + 3*f = 2*f - 386. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of 2*v**3\/15 + v**2\/5 - 4*v\/5 + 3. Suppose m(w) = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2. Let c(k) = -7*k**2 - k. Give c(f) + 2*g(f).\nAnswer: -5*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 20 + -4 + -2 + 0 + 52.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9625501 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 3) + -62 - (-406 - -409)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -935?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2 + 1204608*w - 90692527104.\nAnswer: -4*(w - 150576)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -5 (c) 4 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 30*(0 - 4\/(-6)). Let u be (8\/(-20))\/((-2)\/b). Let x(h) = 5*h - 6*h + u*h. Let l(z) = -6*z. Give x(l(d)).\nAnswer: -18*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(3 + 1520\/(-507)). Let q = n + 8785\/507. What is the common denominator of 13\/8 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.532 times 0.79\nAnswer: 3.58028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 14. Suppose o + 2*o = 3*y - 3, -o - 2*y = v. Let h(t) = -5*t - 7. What is the remainder when 34 is divided by h(o)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1272?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-15)*-6 + (-13)\/(-5). Suppose 2\/7 - 2\/7*a**2 - 2\/7*a + 2\/7*a**v = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a07089 (base 12) to base 15\nAnswer: -345d66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**3 - 2448709*q**2 - 1499045166024*q - 1499042717316 = 0. Calculate q.\nAnswer: -1224354, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 36*q**2 + 33*q - 81. Is 54 a factor of d(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/15 (b) -8 (c) 0.21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 5 - 1)*(-1 + 1 - i**2) - 12*i**2 + 8*i**2 + 6*i**2 + (6*i**2 - 76 + 76)*(-2 + 0 + 3)*(-2 + 1 - 1) as g*i + z*i**2 + o and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1.1 (b) -5 (c) 2\/9 (d) -321 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.841672818 - 310026.148927182. Let i = 310058 + k. Let a = -29 + i. Round a to three dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5 + 265\/50)\/((-3)\/4). What is the nearest to j in -2\/3, 0.3, 4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 2124.09613\nAnswer: -2119.09613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 86 or -129?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 5*w - 0*w - 197, -5*w + 190 = -5*z. Let y = -45 - z. Let l be (-1)\/2 - 1\/y*11. Solve 5*o + 15 = l*k, -3*k = -o + k - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/720 and -59\/19255920?\nAnswer: 57767760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 80*j. Let a(c) = -c. Let w = -2439 + 2375. Calculate w*a(o) - v(o).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8790 rounded to the nearest 100?\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 155) + (13 - ((8 - 17) + 20))?\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, b: 1, q: 2}. Give prob of sequence gqg.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -64*x**2*y**2 + 4*x**2 - 333*y**2 wrt x.\nAnswer: -128*x*y**2 + 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (170\/10)\/((-1190)\/(-2590))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.0029 + 0.2951. Round f to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Let p = 2.1 - 0.1. Which is the third biggest value? (a) p (b) -1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -8*b - 7. Let d = 293677 - 293576. What is the remainder when d is divided by l(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 1698 - 1690, -6*p = -5*n - 50 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 363 and 1210.\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -81753521 and -751.8?\nAnswer: 81752769.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/5155?\nAnswer: 2\/5155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8119782 is divided by 2776?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 plus 3.627175561?\nAnswer: 0.427175561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44 or 823168?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u. Let i(a) = -4*a - 4. Let c = 98 + -74. Let v(j) = -10*j - c - 29*j + 16*j. Let z(x) = -34*i(x) + 6*v(x). Determine z(q(n)).\nAnswer: 2*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 + -12?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -580 + 513. Let i = 78 + l. What is the highest common factor of 187 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 o when two letters picked without replacement from {k: 2, a: 3, o: 1, j: 7, r: 3, z: 2}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2696868 divided by 6?\nAnswer: 449478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1558 times 4\nAnswer: 6232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4 + 76599*l**3 + 16182000*l**2 + 63808908*l + 63502560 = 0.\nAnswer: -25320, -209, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1, -2, 1, -18, -3 in ascending order.\nAnswer: -21, -18, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*w - 135, -11*w + 49 = -9*w - f. Let m(v) = -2*v - 36 + 0*v + 36. Let n(i) = -28*i - 1. What is w*m(h) - 2*n(h)?\nAnswer: 12*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/1)\/(11\/11))\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h + 2*h**3 - 4 - 12*h**2 + 12*h**2 + 2*h**4 + 5 as y*h**2 + m*h + f + p*h**4 + q*h**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001 - 10001?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -30707 (base 9) in base 7?\nAnswer: -113026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 424366995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, m: 2, a: 4}. Give prob of picking 2 a, 1 l, and 1 m.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(14*(-5)\/(-175))\/((-280)\/28).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 631, 1262, 1891, 2518, 3143, 3766?\n\"Answer: -u**2 + 634*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5263 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -77696 + -8?\nAnswer: -77704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/45*-6*3. Let v be -1 + (12 - 2) - 2. Solve -v*f = -k*f + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4692 and 114696492.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 14 = 2*s + 7*i, -26 = 5*s + 2*i. Let m = -477 - -529. What is the biggest value in 3, s, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.395701 kilograms?\nAnswer: 0.008395701","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -7 + (-2 - (-7 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 3*x + 8. Let f be 6\/9*x\/(-3). Let i = 10 - 13. Sort f, -1, i.\nAnswer: i, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 247465 to the nearest 10000.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19700 to the power of 1\/2, to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/(-1610) - 5440\/391?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + g + 58 = 0, -4*x + g + 104 = 2*g. Let r(d) = 73*d**2 + 4*d - 3. Let i be r(2). What is the highest common factor of x and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131061608.\nAnswer: 2, 1483, 11047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 7*c = -11*c + 26, -3*c = 21. Let s(p) = -34*p - 2. What is the smallest common multiple of i and s(-4)?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 126 and 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -113590 divided by -2?\nAnswer: 56795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469766942 minus 0.4?\nAnswer: 2469766941.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - -2 - 2\/2. Let q be -1 + 2\/(m\/3). Which is greater: q or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3*z - 3)*(-2 + 2 + 1) + (2*z + 3 - 3)*(-1 + 2 - 3) - z - 2 + 2 + (-1 - 8 + 4)*(-7*z + 3*z + 0*z).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 22 - 27226*y + 43 + 27225*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 3 + 12 + -2 + -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 18*d - 21. What is the remainder when 20 is divided by q(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -3*j + 3\/7*j**2 + 3*j**3 + 0 - 3\/7*j**4 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/(i\/((i\/(i\/(i*i**(1\/2)*i)))\/i)))\/i)**(9\/5)\/(i\/i**(-2\/3))**(-2\/27))\/((i**0)**(-18\/5))**(-8) assuming i is positive.\nAnswer: i**(2287\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*m = -2609, 0 = -m + 4*m + 6. Does 26 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460895660?\nAnswer: 2, 5, 23044783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*(-3)\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 33210 + 7860 = 0. Suppose -13*d = -8*d + l. Let y = -539 - d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -202*u - 27*u**2 + 202*u + 194*u**2 as w + f*u + k*u**2 and give k.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/87069970 and -121\/266.\nAnswer: 609489790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(((-182)\/(-1176) - (-34)\/357)\/(3\/(-6)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 1. Let u(m) = -m. Let z(j) = 4*a(j) - 3*u(j). Calculate z(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*a**2 - 216*a + 2592 = 0. What is a?\nAnswer: -18, 36\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 2*r + 6. Let c be n(-4). Let h be 15\/21 - (-4)\/c. Let o = 0.19 - -4.81. Put 0.4, h, o in descending order.\nAnswer: o, h, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 2*l - l)*(-l**2 - 5*l**2 + 4*l**2) + l**3 + 97*l**3 - 24*l**3 to the form m*l**2 + b*l**3 + z*l + u and give b.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 7*f**2 + 33*f - 340. Let w be j(7). Which is smaller: w or -118?\nAnswer: -118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -20 - 96 + 8*n + 29. Calculate the remainder when 129 is divided by d(15).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from mabfnfn?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 13 = -4*y, -3*y + 3*f = -y + 9. Suppose -5*v + 2*w + 1801 = 634, -y*w + 247 = v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3350 - -3356. Solve m - 3*j - 3 = 6, 2*m - t = 3*j for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i\/((i**(-11)\/i*i)\/i)*i)\/(i\/((i\/(i**(-5\/9)*i*i))\/i)))\/((i\/(i**(1\/5)*i))\/(i*i*i*i**(2\/53)*i*i)))**(-49) assuming i is positive.\nAnswer: i**(-2196278\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1759944 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 33253.5983 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*o**6 - 329*o**5 + 3361*o**2 wrt o?\nAnswer: 360*o**3 - 19740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2538 and 38664?\nAnswer: 1817208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 1195*a**2 - 967*a + 5. Let y(m) = 597*m**2 - 485*m + 2. Let h(d) = 2*k(d) - 5*y(d). What is the second derivative of h(b) wrt b?\nAnswer: -1190","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, p: 3, t: 8, k: 3}. What is prob of picking 1 u and 1 t?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 116, 385, 816, 1403, 2140, 3021, 4040, 5191?\nAnswer: 6468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/44 and (-186)\/(-64) + 1 + -4 + 1.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 225\/3200*8*24?\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*v = -y + 87*v + 7, -4*y + 4*v = -12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -16*(0 + (-1)\/2). Suppose 0 = -1594*a + 1001 + 1422 + 2359. Solve 3 = -2*x - a*c + q, -c + 20 = -3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -5, -1\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*m + 37*m**3 - 102*m - 2.\nAnswer: 37*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14830, 14829, 14828?\n\"Answer: -a + 14831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/196 + -55\/196. Let w = -10208 + 10222. What is the closest to d in -4, 2, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000025992 to 7 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 2. Let z = t - -7. Suppose 0*a - 60 = -z*a. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7310103429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**6\/10 - 21*t**5\/20 - 15*t**4\/4 - 13*t**3\/2 - 6*t**2 - 223*t. Determine k so that a(k) = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - ((-6 - 3) + 5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24263 = -727*z - 550*z for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5350 (base 7) to base 13\nAnswer: b2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-18)\/(-3) + -3. Suppose b = r - 19 + 1. Does 6 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 3*d**2 - 13*d - 10. Let o be y(-1). Let u(i) = -3*i**2 - 4*i - 5. What is u(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 11*o**2 + 27*o - 30. Calculate r(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5825 and 0.88?\nAnswer: 0.5126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2031 divided by -8\nAnswer: -2031\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - t)*(-2 + 3 - 3) + 4*t - 4*t - t - t - 4*t + t + (6 - 4 - 1)*(t - 3 + 3).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.439 + -0.1.\nAnswer: 1.339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -77, -153, -229?\n\"Answer: -76*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(3 + 27\/(-18)) + 97. Solve 61*c - o = -350 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 156 - 54. Is k a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8130938 take away -4?\nAnswer: -8130934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*(-5)\/(-90))\/((6\/(-2))\/(-90))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -38342629.28 rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/10)\/((-11)\/220). Let n be f\/(-21) + (-6)\/21. Let b(m) = m**2 + m + 13 - m**3 - n*m**3 - 13. Determine b(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 21*l - 20*l - 39 to x*l + s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -85\/2085102 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.11658 + -0.01658. Which is the closest to p? (a) -4 (b) 0.3 (c) -1\/3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -12*2\/(-9)*-6. Let i = l + 71. What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3 - 2 + 4 + 5 + 2*o. Let r be k(-5). Suppose r*m + 26 = 2*m. Solve s + 2*b = -2*s + m, b - 1 = 4*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 14*s**2 + 15*s + 3. Let f be v(-15). Let m(d) = 8*d + 2*d**3 + d**3 + 4*d**3 - f + 2*d**2 - 7*d. Does 21 divide m(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**5\/4 + 855*x**4\/2 + 65793*x**3\/4 - 52326*x**2 + 35451*x = 0. What is x?\nAnswer: -39, 0, 1, 2, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -13*w + 18035 + 62429, -3*w - 2*b = -18582. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose -3*u - 28 = -2*p + u, 2*p = -k*u + 10. Solve -3*n - p = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaeebbabe. What is prob of picking 3 b and 1 e?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2185 - 2185. Let c be (-7)\/(-4) + 1\/4. Suppose -2*g + 2 = x, 5*k - g - 326 = -c*g. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g\/((g*g**(-45))\/g)*g*g)))\/(g*g\/(g**32*g)*g) assuming g is positive.\nAnswer: g**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 76132875 and 4740875?\nAnswer: 1294258875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 9, z - 1 + 12 = 4*q. Suppose -g + 10 = 1. Solve -q*o - o + g = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/25)\/(((-10)\/(110\/(-33)))\/(-10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 960 and 2112?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 12 (c) 504808\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3093031 is divided by 2438.\nAnswer: 1647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153063152, 153063151, 153063150?\nAnswer: 153063149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 p when two letters picked without replacement from lzbkpll.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**5 - 51*j**4 - 120*j**3 + 888*j**2 - 240*j - 1200 = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 10. Suppose l*u - 24 = 7*u. Suppose 3 = 4*i + 3*d, -8*i - 3*d + u = -3*i. Calculate the greatest common divisor of 30 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -67 - -94. What is the remainder when -5*2601\/(-170)*2 + 1 + 6 is divided by u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13729524, -13729541, -13729558?\n\"Answer: -17*m - 13729507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 4, 6824?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-8)*7\/(-21)*-68.\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-9))\/(4\/(-6)). Solve 2*p + c*b = -3*p + 17, 6 = 3*p - 3*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40729 + 41098.86. Let t = 5.86 - g. Let y = t - -360.37. Round y to one decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3549*s - 369158 = -2261*s - 1372*s + 90490 for s.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 3*h - 19 = 0, g - 10 = -67*h + 72*h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -386 + 609. Suppose -79 = 9*o - j. Let m(d) = 2*d - 21. Calculate m(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 646 and 184603.\nAnswer: 7014914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 4. Let k be (39\/(-13))\/(-5 - a). Sort k, -2\/11, 0.5 in ascending order.\nAnswer: -2\/11, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*n**3 + 103*n**3 + 103*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 + 8*h**2 + 5851*h - 52490. What is w(9)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -y + 39. Suppose 5*w + o - y = 0, -o + 7 = w - 8. Suppose -w = -m + 8. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 638674*i + 4470730. Calculate g(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-46 - 18*m + 46)*(m**2 + 3*m**3 - m**2 + (-2*m**3 + 7*m**3 - 4*m**3)*(4 - 4 - 5)) as a*m**3 + x*m**4 + j*m**2 + t + k*m and give x.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 248*x - 253*x + 100. Suppose -60 = -x*z + 40*z. Suppose -3*c - 3*a = 0, 3*a - a = -4*c + 6. Sort z, -15, c, 2 in increasing order.\nAnswer: -15, z, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1079 - -3?\nAnswer: 107c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19355 + 27280. What are the prime factors of y?\nAnswer: 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3845*-0.1\nAnswer: -0.03845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -483, -1091, -1943, -3039?\nAnswer: -4379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27158796?\nAnswer: 2, 3, 7, 107773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.768898g to micrograms.\nAnswer: 9768898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-3771\nAnswer: 1885.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5*w + 6. Let u(s) = -6*s + 7. Let a(k) = 5*j(k) - 4*u(k). Let t be a(-7). Suppose t*r - 57 = 6*r. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-8) + 0*(8 - 9). Is 15 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6910 is divided by 266?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by 52?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(1\/((-10 - -12) + 1)). Solve m*l - 30 = 14*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34657891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 16*b - 38. Suppose 3*k + 35 = -3*u + 11, -2*k = u + 9. Calculate the smallest common multiple of l(u) and 40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 471 = 116*u - 117*u. Let a = u - -9890\/21. What is the smallest value in a, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 255797375 divided by 24125\nAnswer: 10603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 10, -3*g + 6*g = -5*u + 45. Let x be 62\/u - (-4)\/6. Suppose -4*p = -x - 9. Solve -p*a = -5, 2*d = -8*a + 3*a + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/998176 and -56\/343123.\nAnswer: 10979936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 + 2)*(-2*l + 14 - 12 - 2*l) as g + c*l and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003315331 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525959.\nAnswer: 7, 227, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 11*s - 9. Let r be i(-6). Suppose -4*u = -o - 67 + r, -4*u - 5*o = -34. Suppose 19 = 3*w - u. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -250563\/2*w**2 - 254031\/4*w**3 - 3\/4*w**5 - 435*w**4 + 0 + 0*w = 0?\nAnswer: -289, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((40\/30)\/2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2*y + 3)*(0 - 5 + 3) + 1 - 2*y - 1 + 3*y + 0*y - y + (-3 + 1 + 3)*(-y + 3*y + 0*y))*(7 - 7 + 4*y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 33?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 6. Let k be s(-5). Let d(l) = l**3 + 6*l**2 + 5*l - 4. Let z be d(-2). Suppose -3*u + 10 = -5*t, 9 = 4*t + z*u - 5. Which is smaller: k or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450492 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -74 (b) -3\/5 (c) -0.25 (d) 1 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - z**2 + 3*z - 1. Let y be (-5)\/3*(-3)\/1. Suppose 4*h - h - y*c - 1 = 0, -4*h = -3*c - 5. Does 3 divide k(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 45? (a) -1\/9 (b) 1.082 (c) 1607\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636 is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 59291*k**3*l + 8*k**3 - 43792*k*l - 157*k wrt k.\nAnswer: 355746*k*l + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 - 78\/(-12))*(-4228)\/21. Let f = l + 313. Solve -5*n + f = -9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o + 8. Let p be v(0). Let z(r) = -r + 11. Let i be z(p). Let n(k) = k**2 - k. Let a be n(2). Put a, i, -4 in descending order.\nAnswer: i, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 11*k = -84. Let q = 14 - 10. Suppose -q*c - k = -5*c. Solve 0 = 3*g + g + c for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10640.7517 rounded to the nearest ten?\nAnswer: -10640","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -443 - 54 = -3*o - w, 5*o - 4*w - 817 = 0. Calculate the lowest common multiple of o and 81.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (6 + (-341)\/55)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4880547 divided by 22491.\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*s - 4*m, -7*m + 7 = -2*s - 12*m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -49. Let q be (-6)\/(-4)*(1 - 3). Which is the biggest value? (a) 3 (b) g (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(832) + 0)**2*3.\nAnswer: 2496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by -51.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 611*x - x + 3050 = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12*-1 + 13\/1. What is the third biggest value in 0.3, f, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -2*a + 13 + 31, -4*a + 2*n = -128. Is a a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v - 17. Let k be x(4). Let i = k - -572. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39.0027 + 0.1837. Let d = y + 38.6. Round d to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12651970 by 6325985.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 722 - 592 = 26*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -6*q + 70. Put -1, q, 38, 0 in increasing order.\nAnswer: -1, 0, q, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, g: 4, a: 8, v: 2}. What is prob of sequence ggya?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 8585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/9, -5.2, 4, 3\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 166023.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2943 and 3.\nAnswer: 2943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 125267 + 3?\nAnswer: 125271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 11*p**2 - 14*p + 4. Calculate z(12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -142, -338, -624?\nAnswer: -1000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 - 9*l**3 + 0*l**2 + 54 + 11*l**3 as p*l**3 + q + a*l + s*l**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a32b2 (base 13) to base 4.\nAnswer: -2202012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - -1) - ((-2 - -9) + -13)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/912798 and 87\/22.\nAnswer: 10040778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1013400 rounded to the nearest 10000?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let v(g) be the third derivative of 124*g**4\/3 + g**3\/6 + 1020*g**2. Determine v(r(c)).\nAnswer: 992*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a + 12. Let p(s) = 22*s + 3609. Let t be p(-164). Let k(o) = o. Calculate t*q(h) + 4*k(h).\nAnswer: 2*h + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-4*f**3 - 2*f**4 + 4*f**3) + (0*f**2 - f**2 + 0*f**2)*(2*f + 0*f + 0*f)*(-4*f + 9*f - 2*f) + (2 - 2 - 2*f**2)*(3*f**2 - 6*f**2 - f**2).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 7*w**4\/12 + 13*w**3\/6 - 4*w**2 + 15*w + 3. Calculate the remainder when k(-8) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*j, -j + 43 = 7*s - 2*s. Let x be (-2)\/4*(66 - 80). Solve x*t - s = -44 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aee when three letters picked without replacement from aea.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -95 + 91. What are the prime factors of -301*(y + 156\/42)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19919 divided by -5?\nAnswer: -19919\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = l + 2*l. Let m be 24\/13 + l\/(-39). Solve 3*p - 25 = -m*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 + 4 - w**2 - 840743*w**3 - 2*w**2.\nAnswer: -840743*w**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 5*u - 374. Let a be q(-15). Let o(l) be the third derivative of l**4\/24 + 2*l**2. What is o(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 829 = 9*n - 467. Is 18 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 151. Let r = a - 56. Suppose -2*k - r = -56. What is the remainder when 50 is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m**(1\/3))**(-2\/13) assuming m is positive.\nAnswer: m**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -150*n + 186. Give d(2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 482733445 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -627268 + 627271. Let k(c) = c + 5. Let a be k(0). Solve -a*g + 5 = 5*h, -g - n*h - 5 = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4*(-6*(2 + sqrt(76))*1)**2)*-6 + 5.\nAnswer: -69103 - 6912*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*f**4 - 23*f**4 + 5*f**4)*(30*f + 25*f - 9*f).\nAnswer: -1702*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 49\/21)*(-36)\/8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-36))\/((-1)\/284). Suppose 0 = 70*m - c*m + 3. What is the greatest common divisor of 2 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-100)*5)\/(15\/12).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s + 4. Let w(b) = 7*b - 4. Let v(l) = 4*t(l) + 3*w(l). Let n be v(-7). Suppose 3*f - 163 = n. What is the highest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmakakuau. What is prob of sequence uuk?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 9*u**2. Let t be x(-5). Is t\/2 + (-5)\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 16*x - 21. Determine a(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -265 (b) -25\/3 (c) 4 (d) -4 (e) -2\/5 (f) 14\/13 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/b**(-14)))\/b**(-24))**(-1\/20))**3)**(15\/7) assuming b is positive.\nAnswer: b**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*g - 0*g + 16*g - 78 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/7 (b) -0.15 (c) 0.09 (d) 0.03 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*x - 34 = -2*x, 25 = 5*m - 3*x. Suppose -11*u + 15*u = -m. Let r(q) = -6*q - 1. What is r(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 3*g + 1. Let q be (4 - 1) + 30\/2. Let m be ((-16)\/6)\/((-1)\/q). Let k be 1\/3 + m\/18. Determine y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 - -189. Differentiate -26*y**4 - d - 117*y**3 + 117*y**3 + 2*y**4 wrt y.\nAnswer: -96*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6\/4 + 3\/6 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e - 12?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -852*o**2 + 5*o**4 - 5*o**4 + 361*o**6 - 273*o**6 - 1344*o**6 wrt o?\nAnswer: -150720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -804 + 1148. Suppose 3*d = -5*d - a. Which is smaller: -127\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/1021, 5, -3, 3\/7, -0.02?\nAnswer: -1\/1021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 9.7925806?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -242306*y - 726918. Determine d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moamc. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 121935333.7 rounded to the nearest 10000?\nAnswer: 121940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18*k**4 + 200075*k**3 - 43550448*k**2 wrt k.\nAnswer: -432*k + 1200450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7272 (base 9) to base 15.\nAnswer: -18a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*(830\/60 + -15).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -o + 36, 2*o - 27 = -3*d - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) -5 (c) -2\/3 (d) -24 (e) -0.024\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g - 1. Let h be w(-2). Let q be (-7 + 7)\/(3\/h). Suppose k - 6*k + 170 = q. Does 17 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, i: 1, y: 2, f: 4, m: 1, s: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 35*b**2 + b**3 - 3*b**3 - 37*b**2 wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-27)\/(-3) - 3960\/456. Let v = 0 - -1. Is u at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = s, -2*v - 70 + 46 = -4*s. Find h, given that 1\/7*h**4 - 2\/7*h**s + 1\/7*h + 1\/7 - 2\/7*h**2 + 1\/7*h**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 49\/70*20\/(-35)*10730\/(-1392)*12?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 < 34.806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 583 - 583.1. What is the fourth biggest value in c, 18, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 100 (b) -3\/13 (c) 0 (d) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**10*v**5*v)**0)**(-1\/6) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-70)*345\/(-276)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11))**(-21)\/((m*m*(m**(6\/11)\/m*m*m)\/m*m)\/(m*m**(-3\/5)*m*m*m*m)) assuming m is positive.\nAnswer: m**(-163\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, l: 7}. Give prob of sequence tt.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + d + 4)*(-2 - 2 + 3)*(-1583 - 236 - 48)*(-5 + 5 - d)*(2 - 4 + 3).\nAnswer: -1867*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 310973\/449522 - 30\/5227. Let a = -1047\/100 - 82\/25. Calculate the common denominator of h and a.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - 1*sqrt(204)*-1)\/(4*sqrt(60)\/sqrt(5)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.116484 + -0.04.\nAnswer: -0.156484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**(-3\/11)*((h*h**(1\/7)*h)\/h)\/h**2*(h**(-1\/12)*h*h**(-1\/4)*h*h)**(-7) assuming h is positive.\nAnswer: h**(-410\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 742822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5*((-1)\/3)\/(14\/(-42))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -100 - -100. Let b = -186 + 310. Suppose u = -0*k - 4*k + b. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -105.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/4 of a meter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 107*v**2 - 255*v + 5952. What is the thousands digit of s(24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (96\/256)\/((-1)\/(-8)). Let 35*d - 19 - 14 - 71*d - x*d**2 = 0. What is d?\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5. Let s be 0\/4 + (-3 - v). What is the common denominator of s\/(-12) - 91\/126 and 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2134017 weeks to microseconds.\nAnswer: 129065348160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(1100) - sqrt(1100)) + 3 - sqrt(1100).\nAnswer: -10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/266200 and 19\/9504.\nAnswer: 28749600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 213*u**2 - 12*u**3 - 242*u + 242*u + 38*u**2.\nAnswer: -8*u**3 - 175*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -483 - -400. Let v = -65 - i. Put -2\/5, v, -3 in increasing order.\nAnswer: -3, -2\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(560\/(-4)))\/(4\/(-10))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 + -124. Let w be ((3 - 5) + 1)*0 - p. What is the nearest to 0.1 in 0.5, w, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**4\/2 - 5*h**3\/6 + 5*h**2\/2 - 172*h - 3. Determine b(3).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -117. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 3*x + 14, -2*x = -4*f + 3 + 53. Let s(w) = 3*w + 2. Let i be s(f). Are i and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 39\/4. Sort 0, -1\/4, q in decreasing order.\nAnswer: q, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 301709, 301666, 301609, 301538, 301453?\nAnswer: 301354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -17*m**5\/60 + 3*m**4\/8 - 43*m**3\/2 + 162*m**2. Differentiate g(f) wrt f.\nAnswer: -34*f + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/426 and -14 - (-1212)\/87 - 883\/232.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 596 = -0*j - j, 0 = x - 4*j - 616. Suppose -l = 3*l + x. Calculate the common denominator of -143\/6 and l\/(-24) - (-3)\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 148 + -104. Let r be z\/77 + (-2)\/7. Factor -r*g**3 - 6\/7*g**2 - 4\/7*g + 0.\nAnswer: -2*g*(g + 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 500038530 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/9009 and -53\/8580.\nAnswer: 180180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*x = 17 - 32 - 25, m + 7*x = 72 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 1657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 136\/((-8)\/(-4)) - 2. Suppose -5*z = -x + 24, -3*x + 2*z = -8*x + w. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 342, 687, 1032, 1377?\nAnswer: 1722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 150*l**2 + 31.\nAnswer: -150*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(468) - -1*sqrt(13)*-5) + sqrt(13) + ((sqrt(26)*-1)\/sqrt(2))**2 + -2.\nAnswer: 2*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316147333?\nAnswer: 47, 6726539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 165.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 710 + 206. Suppose 5*t = -3*l + 535, -4*t + o = -4*l - 199. List the prime factors of t.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2102153021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 292 = -88. Suppose -3*a - x - 4*x = -36, 0 = -4*a + 2*x + 48. What is the remainder when r is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 8:22 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222033223 + 2110?\nAnswer: 222101333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/424288 and -65\/62025602.\nAnswer: 992409632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -10. Suppose 18 - 63 = -y*w. Calculate the remainder when w is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -7, 22, 73, 152, 265, 418, 617?\n\"Answer: m**3 + 2*m**2 - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 171*i**2 + 67*i**2 - 234*i**2.\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -5*d + 31. Let b(s) = s**3 - 14*s**2 + 16. Let w be b(d). What is the units digit of 68\/w*32\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at least -86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 402*w + 11295. Let q be n(-28). Which is smaller: 1521\/40 or q?\nAnswer: 1521\/40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308574757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a micrometer in nanometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 2*q + 10 = 0. Let l be (42\/35)\/((-6)\/(-80)). Suppose -4*p + l = -2*w, -p - 10 = -3*p + q*w. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -79\/19275 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(0 - (-3)\/6). Suppose -2*m - 54 = -5*j, j - m - l*m = 3. Let b = -10 + j. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a kilogram in grams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 223, 872, 1953, 3466?\n\"Answer: 216*y**2 + y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -3\/5, 0, -7, 3\/6802?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 + 300\/28. Let s = -7 + d. Let r = s - -1. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**5\/20 - i**4\/12 + i**3\/2 + 3*i**2. List the prime factors of l(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edeeeedeeee. What is prob of sequence dde?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-6*(sqrt(22) + (sqrt(88) - sqrt(22)) - sqrt(22)) + (sqrt(132)*3)\/sqrt(6))\/(3*(4*1*sqrt(24))\/sqrt(12)).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 31. Let y be b(0). Suppose 49 = 4*s + c, -3*c - 9 - y = -5*s. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 - -43620930\nAnswer: 43620931.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 20. Let b(f) = 2*f + 2. Let n(j) = -22*j - 22. Let z(k) = -68*b(k) - 6*n(k). Let v be z(d). Are v and 18 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o + 4 = 0, -2*o + 299316 = 4*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 9*j + 2. Let m be z(-6). Let n = 20 - 0. Calculate the highest common factor of m and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**5\/7 + 5566*t**4\/7 - 151490*t**3\/7 - 2165074*t**2 + 214485120*t\/7 + 11649484800\/7 = 0.\nAnswer: -2809, -32, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -63, 7.6, -366, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6278.\nAnswer: 2, 43, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 738 = -10*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15040.078 - -15040. Round c to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 391 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131304 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 44*f + 225 = 22*f. Solve f*g = -t - 3*t, 3*t + 5*g = -5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9992?\nAnswer: 2, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b + 45. Is q(-19) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2125 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from vufuvvuvuvuuuhvuhhu?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 3*q = 25, -2*q = 4*m - 5*m - 15. Suppose 8*v - 5*v = 0. Suppose v = -0*t + 4*t + 4*o - 28, -3*t + 3 = -3*o. Sort -2, t, m in ascending order.\nAnswer: m, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 69.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0353, 63\/4, 0.1 in descending order.\nAnswer: 63\/4, 0.1, 0.0353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 0*i + 0 + 63*i**2 + 1\/24*i**4 + 0*i**3. Let y(x) be the first derivative of 7*x**2 - 2. Calculate j(y(z)).\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*y**5 - 29*y**4 - 64025*y**2 + 5207*y + 1236.\nAnswer: -460*y**3 - 348*y**2 - 128050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dptdtptaaoataatd. What is prob of picking 1 p and 3 d?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*j. Suppose j = x - 3*x - 10. Sort x, 5, 4 in increasing order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7.4 - -5.4. What is the nearest to v in -0.4, -2\/3, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35805859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 8*g + 4. Let v be u(8). Suppose v = -2*d + 4*d. Solve -d*x - 16 = -6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12)*-2*(-7 - -4). What are the prime factors of 74*(3\/(-6))\/w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 355, 573, 779, 967, 1131, 1265, 1363, 1419?\n\"Answer: -d**3 + 225*d + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 574 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 120985 and -8.325103.\nAnswer: 120976.674897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21935 + 1?\nAnswer: -21934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -12 (b) 0 (c) 25\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + 6*p + 0*p)*(2 - 2 + 2) as g*p + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 146252122.\nAnswer: 2, 17, 53, 277, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/5 (b) 0.079943 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -3*x**2 - 918*x - 915 = 0.\nAnswer: -305, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 6*j**2 - 11 + 0*j**2 - 13.\nAnswer: -6*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, 4\/137, 12, -22 in ascending order.\nAnswer: -22, -3\/7, 4\/137, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8284500?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdd when three letters picked without replacement from vcvdddvdvv.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 31 = -104. Let t = 17 + -7. Calculate the remainder when y is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -19. Let u be 7\/m + (-12)\/8. Solve -u - 4 = -3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 minutes after 6:00 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63286 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -230 - 30334?\nAnswer: -31004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u + 15*u - 14*u + 12 + (4 - 2 - 1)*(3*u - 5*u + 3*u).\nAnswer: -u + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -750652 divided by -750652\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 66*a - 229. What are the prime factors of t(9)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-261)\/232*((-190)\/(-45))\/38?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + x - 1. Let s(h) = h**3 + 8*h**2 - 8*h + 6. Let c(p) = 7*o(p) + s(p). Determine c(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**4 + 27*c - c**3 + 23*c**2 - 19*c**2 - 28*c to the form j*c**4 + f*c**2 + v + o*c + s*c**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s**3 + 0*s**3 + 0*s**3 + (-688 + 13*s + 688 + (-5 + 5 + s)*(-3 + 6 - 2))*(-s - s**2 + s).\nAnswer: -15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 28*c - 19*c**2 - 43*c + 42*c**2 + 9 + 8*c**3 - 18*c**2 to o*c**2 + d*c**3 + g + l*c and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (404 - 411) + (1 - (6 + -1)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -3588cbd?\nAnswer: 3588cba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 18821302*i\/3 - 88560352243801\/3.\nAnswer: -(i + 9410651)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 7:10 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18084513 rounded to the nearest 1000?\nAnswer: -18085000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 472579129?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 86711432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 22. Let d be m(10). Let f be (0 - (-2 - d))*4. Let z = f + -32. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -350151 (base 9) in base 8?\nAnswer: -632237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (8\/20)\/(56\/1070) and -71\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j - 27. Let k be r(-6). Suppose 18*g - 886 = -256. Let z = g + -35. Solve 3*o + z*o + u = -11, 5*o - k*u + 37 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15629805 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 23a (base 16) to base 7\nAnswer: 1443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -24. Suppose 4*a + 2 = 10. What is the third derivative of -14*j**4 + 20*j**o - 19*j**a - 36*j**4 wrt j?\nAnswer: -720*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.107 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6032\/7 - 862. Which is the closest to 1\/3? (a) -2 (b) y (c) 3\/10 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -0.5, -17.2, -5, -4\/9, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 16 = -3*v, -2*v + 6 = -5*v + 3*d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -986\/3 or -328?\nAnswer: -986\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -108.155186 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**2 - p + 1. Let u(r) = -2*r**2 - 2*r + 1. Let z be ((-5)\/(-2))\/(3\/(-6)). Let s be z\/15*(-1 - -4). What is s*x(w) + u(w)?\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99) - (sqrt(99) + -1 + -5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13*-14*(-27)\/126\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2260 + -1330. What is the highest common factor of z and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 11. Let n be h(8). Solve -w - 1 = n*o - o, 9 = -4*w - 3*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 5. Suppose o*r + 5*p = 52, -75 = -r - 3*r - p. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 37*x**2 - 4*x - 11. Let q(o) = -12*o**2 + o + 4. Calculate 4*n(y) + 11*q(y).\nAnswer: 16*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 72 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-0.15311262.\nAnswer: -0.045933786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 + 0 - (63*(-22)\/(-1155))\/((-63)\/(-105))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 3*a**2 - 4*a - 5. Suppose -3*m + 20 = 2*m. What is b(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppzpppzzpppppz. What is prob of picking 2 p?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71444\/9 - 8230. Let z = -292 - j. Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 5*x + 4. Let b(f) = 10 + 12*f**2 + 3*f - 21*f**2 + 10*f**2. Let m be b(-4). Suppose -m = -2*s - 6. Determine y(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*f + 5, 0 = -2*n + 2*f + 14 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-2))\/(-3*2\/15))\/((-608830)\/(-182649))\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*w = 2661 - 2725 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 3*b + 7345 = 3*s, 9805 = 4*s + 5*b. Is s a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11c - -13e3?\nAnswer: 12c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (837\/336 - 2) + (-9)\/18. Put -5, x, -0.5, 2 in descending order.\nAnswer: 2, x, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13 - -14. Let o be (-5)\/((-5)\/(-2)) + 2. Which is the nearest to f? (a) 3\/4 (b) 1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 215376145\/636 + -338643. Let b = l - -2\/159. What is the biggest value in b, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 190730, 190726, 190712, 190682, 190630, 190550, 190436, 190282?\n\"Answer: -i**3 + i**2 + 190730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103156 + -16?\nAnswer: -103205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*r**3 - 351*r**3 + 921*r**3)*(-5*r + 5*r + r).\nAnswer: 624*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 903.4 to the nearest 10.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*y**4 + y - 2 - 180*y**4 - 2*y**3 + 2*y**3 - 4*y**2 to m*y**3 + a + b*y**4 + s*y**2 + x*y and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 7*h**2 - 4*h + 5. Let j be t(-6). Let w(k) = 2*k + 7. Let o(r) = -3*r - 11. Let x(m) = -5*o(m) - 8*w(m). What is the units digit of x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3372, 6747, 10122, 13497?\nAnswer: 16872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -21 + 25*y - 3*y**2 + 36 + y**2 + 4*y**2. Let l(i) = i**2 + 12*i + 8. Let o(z) = -4*k(z) + 9*l(z). Let c be o(-7). Solve 3*g = 2*g - c for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12816478 is divided by 328627.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.740076 millilitres in litres?\nAnswer: 0.008740076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 980 and 1242836.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 0 + 0)*(-24*n - 28*n + 47*n)*(0*n + 4*n - 3*n).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59200749.\nAnswer: 3, 17, 97, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-6)*((-7)\/(-2))\/((-203)\/(-87)). Let p(b) = 2*b**3 - b**2 + b - 1. Let t be p(1). Sort t, -2, -5, a in descending order.\nAnswer: t, -2, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -z - 8175, -3*t = 5*z - 7*z - 4905. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*i**4 + 33\/2*i - 1\/2*i**5 + 8*i**3 + 19*i**2 + 5 = 0. What is i?\nAnswer: -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*t + 336, -5*t + 4*j + 38 = -295. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6342 - 6612?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 13*d**3\/6 + 14*d**2 + 11*d. What is the first derivative of u(y) wrt y?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -150, -1535, -3124, -5019, -7322, -10135?\n\"Answer: -17*u**3 - 1266*u + 1133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/7 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*g + g = 0, -g = 4*v + 12. Let m be v*(3 - -3)\/(-2). Let s be 2\/8 - (-33)\/m. Solve -2 + s = -q, 4*h - 6 = 2*q for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3, -6*h - 3*r = -2*h - 15. Solve -h*a = -9*a - 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 88 = -448. Calculate the highest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.37369 - 0.21658. Round r to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 66 in -1\/9, 0.5, -12, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1458 divided by 5\nAnswer: -1458\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.088203l?\nAnswer: 1088.203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/13))\/s**(2\/5))**47\/(((s\/s**(3\/4)*s)\/(s**6*s))\/((s*s**(-1))\/(s\/s**1))) assuming s is positive.\nAnswer: s**(6947\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 90 = -7*c. Suppose -c*a = -19*a + 868. What are the prime factors of a?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i**2 - 16*i + 8. Let l be y(5). Suppose 2*m - d = 27, 3*d - 45 = m - 4*m. Let a = 18 - m. Is l < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 - 13. Suppose 0 = -637*a + 218*a + 2979 + 1211. Solve -5*i = -a*i - c for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: -43709082 divided by -14569694\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 1:04 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r**3 + 54*r**2 + 179*r - 5. Determine j(-3).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of 8\/5*z**5 + 0*z + 0*z**4 + 0*z**2 + 6 + 4\/3*z**3. Find the third derivative of y(m) wrt m.\nAnswer: 192*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1443 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 + 925*m - 162161. Determine p(235).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 + 4*r**2 + 7*r - 20. Calculate m(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1070, -4133, -9230, -16361, -25526, -36725, -49958?\n\"Answer: -1017*z**2 - 12*z - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 - 102 + 52 + 50 + 3*n**2.\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2 + 31*f + 22. Determine v(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - a - a = -99, -64*n - 2*a = -45*n - 393 for n.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 equal to 1838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5183967, -5184014, -5184061?\nAnswer: -5184108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from {g: 7, i: 7, v: 4}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 55*b + 1761. What is the smallest common multiple of 184 and f(-31)?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04259*435.9.\nAnswer: 18.564981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - -14 - (-45 + 23 + 53).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50689489 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 11*s + 1. Let o be v(5). Let p be (-16)\/o - 46\/(-14). Solve p*t = t - 10 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 62.53939982 + -62.536. What is o rounded to five decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (93 - -1)*2\/(-4). Let q = h - -52. Find the second derivative of 10155*i - 31*i**5 - 10111*i - 17*i**q wrt i.\nAnswer: -960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus 111.5?\nAnswer: 116.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6743 + 576*y**3 - 426*y**3 - 147*y**3 in the form l*y + f*y**3 + r + j*y**2 and give r.\nAnswer: -6743","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + -3. Suppose 5*k + 5*n = -270, -2*k + 5*n + 219 = 355. Sort -4, w, 5, k in ascending order.\nAnswer: k, -4, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 645501761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 4. Let k be l(-4). Let w(z) = 2*z - 7. Let q(p) = -3*p + 8. Let x(t) = 3*q(t) + 4*w(t). Let h be x(k). Solve -v + 5 + h = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0.4 (b) 1\/7 (c) 5 (d) -90 (e) -50 (f) -3 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 35. Let w be 2\/(-3) + b\/3. Calculate the greatest common factor of 98 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 909.635 minutes?\nAnswer: 54578.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(28) - (-1 + sqrt(405))**2) + (sqrt(320)*2 - (sqrt(5) + 1 + -1)**2).\nAnswer: -411 + 69*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 s when two letters picked without replacement from aaaaaaaaaasaaaaaaa?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3, 1\/4, 2 in descending order.\nAnswer: 2, 1\/4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5141757 by -6.\nAnswer: -1713919\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 519*o**4 - 24*o**3 + 27*o**3 - 779*o**5 + 1241*o**5 - 54*o**2 = 0.\nAnswer: -1, -9\/22, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*p**2 - 22*p*v - 1132*v wrt p.\nAnswer: -4*p - 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 71246 divided by -246\nAnswer: -35623\/123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1645 + -0.1945. What is the nearest to -0.1 in 0.1, 7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000032 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a = -28*a - 4*b + 20, 10 = -a + 3*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 20 = -c, -32 - 8 = -3*f - 4*c. Let q = -7 + f. Solve -5*j = -11 + q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88*p**4 - 62*p**4 + 64*p**4)*(-3*p + 0*p + 2*p + (2 - 4 + 4)*(-p + 2*p - 3*p)).\nAnswer: -450*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -1 + 3 - 1. Suppose 8 = -a*i, -x - 2*i - 4 = -3*x. What is the nearest to 0.1 in 2\/9, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than 347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -257183200 divided by -16073950\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 + 927551.\nAnswer: 927508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-90))\/(4\/2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60592775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of s**3\/6 - 4*s**2 - 3*s. Let b be f(10). Solve -p = -3*d + 2, -b*d - 5*p + 3*p - 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 291684, -1, 0, 5, -5 in descending order.\nAnswer: 291684, 5, 4, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 11 + 37. Let d = p + -12. Let t be (96\/(-28))\/(4\/d). What is the greatest common factor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -11 + 8\/9*d + 4\/9*d**2 + 2\/27*d**3. Factor j(n).\nAnswer: 2*(n + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1821173 is divided by 1821157.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12772793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4231331267 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of -5*n**3\/6 - n**2 + 1103*n. Suppose -4*o + 23 = 15. Let g(j) = -10*j - 4. Determine o*g(u) - 5*w(u).\nAnswer: 5*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -2746.31 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 48*k + 478. Let v be i(-10). Let j(a) = -a - 5. Let y be j(-7). Put v, -7, y in descending order.\nAnswer: y, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 - -26. Let d be -28 + 14 - (-1 + h). Let v be (-17 - -14) + (-48)\/d. What is the fourth biggest value in v, 1\/2, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-205)\/369)\/(230\/(-828))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2. Suppose a + 4 = m, -w - 44 = -4*w + 2*a. Let k = 18 + -14. What is the lowest common multiple of k and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 683296 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m + 3. Let w(z) = -11*z - 6. Let d = -26 + 62. Let t = d - 34. Suppose 5*s + 30 = -5*g + s, -t*g = -s + 12. Determine g*w(u) - 13*h(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1359182 = 34140818. What is a rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + i = 2642, 0 = 4*p - 5*i + 4139 - 1489. What is p rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(((k\/(k\/(k**(4\/11)\/k))*k)\/k)\/k))**43\/(k**0\/k*k**(-6)*k*k) assuming k is positive.\nAnswer: k**(1775\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llpmlmpmpppl. Give prob of picking 2 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**5*i - 3968229*g**4*i*z - 321*g**2*i*z + g**2*i - 68*g**2*z + g*i*z - g wrt g?\nAnswer: -120*g**2*i - 95237496*g*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 98 and -35?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**5\/30 - m**4\/24 + m**3\/3 + m**2. Let b be 2*(6\/9)\/(8\/(-12)). Calculate w(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1616345?\nAnswer: 5, 37, 8737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1110000100100011 (base 2) to base 16\nAnswer: e123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 2*q**3 - 15*q**2 - 2*q. Let f be b(3). Which is smaller: f or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 2*j - 1, -j = 4*k + 4 + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-204)\/(-544) + 3 + (-2)\/(-48)*-89. Sort q, -0.8, -4, 3, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, q, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -23a66?\nAnswer: -23a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 7*m**2 + 4*m + 21. Determine n(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -3*k + 2. Let h be j(2). Which is the smallest value? (a) -110 (b) 7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 48*y. Let v(t) be the second derivative of t**4\/12 - t**3\/6 - t**2\/2 - t. Let s be v(-1). Is h(s) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -108*k**2 + 6 - 6*k + 31*k**2 + 76*k**2. Calculate h(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 11*b - 139. Let k be d(13). Solve 2*x - k = 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -1221?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690179 is divided by 2122.\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q**2 + q**3 - 2*q + q**2 + 0 + 5*q - 9. Calculate the remainder when 17 is divided by a(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/10 and -63\/12310.\nAnswer: 12310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 + 38. Solve -x - 4*q = 2*x - p, -3*q + 6 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16760?\nAnswer: 2, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8809019\/4240 + -1\/848. Let l = -125251\/60 - w. Calculate the common denominator of 1\/3 + 904\/240 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 - 16. Let v(d) = 27*d + c*d - 56*d. Let f(t) = t. What is v(f(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3 + 1 + 98\/210. Let n be 2 - 36\/(-10) - 12\/3. Let -n*i + i**2 + f - 1\/5*i**3 = 0. What is i?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -8*d + 2*h - 58, -496*d - 6*h - 55 = -494*d - 3*h for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 86 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 + 9*t**2 + 36*t + 109. Let m be h(-6). Sort 5, -4, m, 3, -298.\nAnswer: -298, -4, m, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2405589022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q - 76. Let z be y(11). Let x(m) = 123*m**2 + 121*m + 17. Is x(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -352673 by 4.\nAnswer: -352673\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -119*q**2 + 11*q**3 + 16*q**2 + 32*q - 104*q**2 + q**3 + 19*q.\nAnswer: 3*q*(q - 17)*(4*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*d - 318 - 122. Let i = -53 + d. Suppose -310 = -i*k + 216. What are the prime factors of k?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2254*a**5 - 1075*a**2.\nAnswer: -135240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 16243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -673, -2107, -4313, -7297, -11065, -15623, -20977?\n\"Answer: -y**3 - 380*y**2 - 287*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 3480?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + i**3 + 5*i**2)*((0*i + i - 2*i)*(-12 + 4 - 4) + 4 - 4 + 9*i).\nAnswer: 21*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 286, -2132, 4, 2, -5 in descending order.\nAnswer: 286, 4, 2, -5, -2132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - 49\/3. Suppose -u = 32*x - 35*x + 15, -2*x = -10. Which is the smallest value? (a) u (b) r (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 983177, 983179, 983181?\nAnswer: 983183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2.8. Let w = 6 + -4. What is the nearest to w in -0.3, 2\/23, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = 95*t - 92*t. Let r(m) = -23*m + 27. What is the tens digit of r(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 128.4842 litres?\nAnswer: 128484.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 10*o**2 - 10*o - 3. Suppose -3 = -u + 2*n + n, -u - 3*n = 21. Let b be f(u). What is the highest common divisor of b and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11222*h - 496. Let o(j) = 68*j + 3. Let x(u) = -3*m(u) - 496*o(u). What is x(-1)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 437100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.8+68465\nAnswer: 68464.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 2*v - v**3 - 29*v**2 + 1 + 32*v**2 to o*v + n*v**3 + y*v**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 - -0.1771\nAnswer: 0.1471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3262 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 2.3. Let r = 3224 + -2651.1. Let n = r - 573. Which is the closest to 2? (a) -0.2 (b) n (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let m be f(1). Suppose 4*n = 3*d + 128, 55 = -3*d - n - 48. Let j be (d\/30)\/((-207)\/(-30)). Which is bigger: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 101 = -54*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 26. Let g = b - 8. Let a be ((-1)\/(-3))\/(16\/g). Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/1306 and -29\/4.\nAnswer: 2612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*r + 1503 = -4542 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.16.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2413094436*d - 5354*d**3 - 522006250000 + 21546*d**4 - 43405564*d - 10774*d**4 - 4335000*d**2 + 1954*d**3 - 10773*d**4 = 0?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 3*t + 5*g, 1581*g - 1583*g - 8 = 18*t - 90 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9293, -37204, -83719, -148838, -232561?\n\"Answer: -9302*j**2 - 5*j + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/33 + 616\/3. Suppose 9*n - 352 = o. Let q = 24 + -3. Calculate the remainder when n is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 14*d - 2. Let x be s(0). Let l(q) = 100*q**2 - 5*q - 9. List the prime factors of l(x).\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -951345 (base 13) in base 11?\nAnswer: -1a71a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9174 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(456)*-1)\/sqrt(8))\/(4*(sqrt(18)\/sqrt(2))\/sqrt(3)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 50 - 104?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 543 - 545. What is the fourth smallest value in -0.2, m, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - -6. Let s be (432\/(-297))\/((-2)\/11) + -7. Which is the closest to -51? (a) z (b) s (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 7, -36, -119, -254, -453, -728?\nAnswer: -1091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -158470 divided by 2.\nAnswer: -79235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1201002 (base 3) to base 11\nAnswer: a31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (204\/(-44))\/((-15)\/55).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 8:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 0. Let y = 3 - g. Solve -5*d - y = -11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 0 + 2. Suppose -q + 2*a = -8, -k*a = q - 3*q + 12. Factor 0 + 2\/9*v**q + 0*v**3 - 2\/9*v**2 + 0*v.\nAnswer: 2*v**2*(v - 1)*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 3:45 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 divided by 8?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13780, -27560, -41338, -55114, -68888?\nAnswer: -82660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36800 = 198*j - 200*j. Round j to the nearest 1000.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*m**2 + 14*m**2 + 131*m - 113*m.\nAnswer: -4*m**2 + 18*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 + -23. Suppose 4*l = 175 + 13. Suppose -l - q = -4*m. What is the highest common factor of 140 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81602220 divided by 5440148?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 109, 174, 269, 394, 549, 734, 949?\n\"Answer: 15*i**2 + 20*i + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -795421 - -795418. Let z be (-4)\/14 + (-37)\/(-7). Suppose -13 - 12 = -z*q. Put 12, q, h in descending order.\nAnswer: 12, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13433134 - 10?\nAnswer: 13433124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*b**2 - 3*b**4 + 53*b**2 - 9*b**2 - 15*b**2 + 8*b - b**5 + 2*b**3 = 0. What is b?\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**(-1\/3)\/((r**1*r)\/r*r**(-1))*r\/((r\/r**(4\/3))\/r)*r**0*(r\/r**0)**22 assuming r is positive.\nAnswer: r**(73\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4 less than 881?\nAnswer: 882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 12*o - 131. Suppose -355 = -o*j + 29. What is the remainder when 236 is divided by j?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -2, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.9 + 32. Let y = l + -4.1. What is the closest to y in -0.5, 4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 664*j = 668*j - 4608. Is 32 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 188?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*h - h**2 - 33*h + 0*h.\nAnswer: -h**2 - 74*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0, -29, -0.046 in decreasing order.\nAnswer: 2\/3, 0, -0.046, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -211341 + 252?\nAnswer: -211045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or 1.96?\nAnswer: 1.96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7495084 to the nearest integer?\nAnswer: 2738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -2208083 and -2208081 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**2 - 94*j + 18. Determine u(31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (16 - (-15 + (9 - -3)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2686.9 - -2667.9. What is the fourth biggest value in -0.04, 0.3, -2.8, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 - 4*c**2 - 6. What is the remainder when s(5) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s + 12 = 0. Let d(h) = -h**2 + 6*h - 6. Let c be d(s). Is c\/7 + (-388)\/(-14) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.0395 (b) 105 (c) -0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4) + (-63)\/(-56)*-2. Put 7, w, 192 in increasing order.\nAnswer: w, 7, 192","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -23*f + 9. Let u(d) = 12*d - 5. Let v(g) = 9*u(g) + 4*w(g). Let c be v(4). Let t = c - 28. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 626355123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 3*d + 4. Let j be s(4). Let o = -5 + 8. Suppose j = -6*p + o*p + 9. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1291238 divided by 645619.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 178\/(-8)*2*2. Let k = -63 - n. Suppose 4*u = f - 4, 3*f + u - k = f. What is the lowest common multiple of f and 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let x(u) be the second derivative of 1\/12*u**4 + 0*u**h + 0 - 1\/6*u**3 + 2*u. Find the second derivative of x(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 4 + (sqrt(27)\/sqrt(9) - sqrt(3))*5 + ((3*sqrt(363) - sqrt(363)) + sqrt(363))*-3 + -1)**2.\nAnswer: -534*sqrt(3) + 23772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from bobfbbfffoofofi.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -4 + -7 + 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -3 - -28) + -2 + (-2 + 12 - 5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -21. Let a be g\/(-5) - (-12)\/60. Suppose 0 = -3*i + 2*i + 10. What is the highest common divisor of a and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222856652 rounded to the nearest 10000?\nAnswer: 222860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/3 - 2105216*u - 3323950804992.\nAnswer: -(u + 3157824)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/8 + 7 + -10. Let b(u) = -u**2 - 3*u + 13. Give b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/20)\/(((-84)\/224)\/((-5)\/(-4)))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 409 and 0.1170384.\nAnswer: 47.8687056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 235368 plus 65.1?\nAnswer: 235433.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 96113094635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1767369.\nAnswer: 3534738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknknnnnknknnk. Give prob of picking 2 k.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2 + 26*s - 49. Let b(p) = p**2 + p - 9. Determine -5*b(v) + g(v).\nAnswer: v**2 + 21*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 36*v**2 - 208*v + 1. Determine i(6).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p. Let y(j) = -57*j**2 + 4*j. Let c(m) = 55*m**2 - 5*m. Let n be 33\/7 + (-2 - 80\/(-35)). Let l(z) = n*y(z) + 4*c(z). Determine l(f(a)).\nAnswer: -260*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 + 3*u + 274. Let o be d(18). Let w = 3.7 + -4. Put 3, o, w, -5 in increasing order.\nAnswer: -5, w, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 3*f**5 + 17*f**2 - 13. What is the second derivative of n(h) wrt h?\nAnswer: 180*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 440 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -290931 (base 13) to base 2.\nAnswer: -11110100011011101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 73*t + 108*t + 905. Sort 131, 1, t in increasing order.\nAnswer: t, 1, 131","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4\/5 + 36*j**3\/5 + 4*j**2\/5 - 36*j\/5.\nAnswer: -4*j*(j - 9)*(j - 1)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/5 + -1. Which is the closest to -0.1? (a) -6\/7 (b) m (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-7))\/((-2)\/(-4)*12\/(-84))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 372, 1364, 3018, 5334?\nAnswer: 8312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/3)\/(784\/(-3038)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**3 - 3*r**2 + 10*r + 2. Calculate the remainder when 9 is divided by s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 220934 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of 189500*u**2 + 6*u + 1\/6*u**3 + 5\/12*u**4 + 0. Let b be j(0). What is b rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/59123 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.389 and -353.\nAnswer: -351.611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5\/4 + 351*r**4\/4 + 285*r**3\/2 - 284607*r**2\/2 + 7367619*r\/4 - 24770529\/4 = 0. Calculate r.\nAnswer: -79, 7, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**3 - 9*u**2 + 5*u - 2. Let j(x) = -5*x**3 + 9*x**2 - 6*x + 3. Let q(m) = 4*c(m) + 5*j(m). What are the prime factors of q(7)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 225 = 14*n + 15 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6833 divided by -1997?\nAnswer: -6833\/1997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -1\/5 (c) 260 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*z + o + 398 = 0, 0 = 3*z - 2*o - 1193. What is the remainder when z is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-884650)\/195*(-12)\/10. Suppose 0 = -5*y - s + 4*s + 6799, 0 = -4*y + 4*s + g. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, t: 2, k: 1, p: 1, r: 1, z: 3}. What is prob of picking 1 n and 1 k?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 343638, 687317, 1030996, 1374675, 1718354, 2062033?\n\"Answer: 343679*f - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 287*h**3*v**4 + 189*h**3*v**3 + h**3*v**2 - 10*h**2 - 78*h*v**2 - 49*v**3 + 814*v**2 wrt v?\nAnswer: 6888*h**3*v + 1134*h**3 - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 12 - (2 + -2 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 127958 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -79*j + 82*j. Is 8 bigger than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10212*y = 10015*y - 2364 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 1)*(-4 + 2 + 4)*(4*b + b - 4*b + 3*b + b - b - 2*b + 2 - 2 + (-6 + 4 + 1)*(b + 0*b + 0*b) - 4*b - b + 2*b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1435395\/(-5564) - 0)*(-6)\/1540. Let k = 15\/1177 + n. What is the common denominator of -95\/2 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.313 - -5.313. What is the third biggest value in 4, m, 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-45))\/((-23)\/((-483)\/(-14))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**(-2\/9)\/((p*p\/(p*p**(-10)))\/p**(-8)) assuming p is positive.\nAnswer: p**(-173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-2)*1*(-4)\/2. Suppose w*x + 9 = y, -5*y - 3 = x - 0. Are -7\/6 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 2*q - 3 = 0, -4*a + 3*q - 4 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 603 and 402?\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -15958327 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + 45 - 28 - -37 - (1 + -14).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 13. Let k(x) = -14. Let v(c) = 2*k(c) - 3*l(c). Let a be v(-4). Let h be 111004 - 4*a\/(-1). Round h to the nearest 10000.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2494.3 times 0.5?\nAnswer: 1247.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1b (base 15) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1296550108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/5 - 61846281*x\/5 = 0 for x.\nAnswer: 0, 61846281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/4)\/(((-33)\/48)\/(-11)). Let u be 4\/(-4 + i)*4. Suppose 4*l = -u*h - 4, -2*l + 3*h = -6*l. Solve -l*n - 2 = -n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 2*i**2 - 3*i - 2. Let b be k(-2). Let c be 2\/b*(-10 - 4). Let n(v) = v + 12. Calculate n(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3) + (-28)\/24. Let y = 12 + -6. Let h = y - 10. What is the second smallest value in -1, h, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 108953 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -4) + (-12 - 2 - -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -8. Let j be s\/(-6)*(-6)\/2. Suppose -u - j + 9 = 0. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**2 + 13*x + 8. Calculate f(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*i, -2*q + i = -73 - 363. List the prime factors of q.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r. Let o(k) = 20*k**2 + 822*k - 2. Determine o(b(m)).\nAnswer: 80*m**2 - 1644*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 23*h**2 + 12*h + 10. Let s be j(-21). Let u = s + -1252. Let m = u - -2789. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -1. Let q(a) be the second derivative of a**3\/2 - 15*a**2\/2 + 7*a. Let u(y) = 15*p(y) - q(y). Determine u(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -c**3\/3 - 16*c. Let u(i) = -18*i. Give u(r(g)).\nAnswer: 36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -39317.105 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2556 and 852?\nAnswer: 2556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p - 7*p + 6. Let h(s) = 3*s**2 - s + 6*s + p*s - 1 - 3*s. What is the tens digit of h(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) 37 (c) -46 (d) 0.06 (e) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d - c + 9, -4*d + 4*c = -36. Suppose 0 = -q + d. Find the second derivative of -2*f + 9*f**2 + 3*f**5 - q*f**2 wrt f.\nAnswer: 60*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(704) + -3*sqrt(704).\nAnswer: -16*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -156, -301, -492, -729, -1012, -1341?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/88078 and 93\/20.\nAnswer: 880780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 219394 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 5*w + 69 = -78, 5*d = -4*w - 410. Which is smaller: d or -83?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3401, -3450, -3499, -3548?\n\"Answer: -49*a - 3352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/141, 10, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4090456599 to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (1 - (-1 + 6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 10 = 9*v, -3*n = -3*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002415 rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -8509000 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -1, 2, 1.\nAnswer: -24, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2. Let g(a) = 751463*a. Calculate r(g(k)).\nAnswer: -1129393280738*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from znnnzznnzn. What is prob of picking 2 z and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 15*t**2 - 3 + 5*t**3 - 409*t - 15*t**2 + 405*t. Let x(z) = -5*z**3 + 5*z + 4. Determine -4*p(j) - 3*x(j).\nAnswer: -5*j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1070 and 0.5?\nAnswer: -535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*s**2 - 333*s**2 - 333*s**2)*(2*s**2 + 3 + 4 - 9) to the form z*s**4 + d*s + l*s**3 + g*s**2 + k and give z.\nAnswer: -1318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:55 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-4))\/(c\/(c*(c*c**(1\/6)*c)\/c))*(c\/c**(2\/15)*c)\/((c\/c**4)\/c) assuming c is positive.\nAnswer: c**(121\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 4*x + 0*x + (2 - 2 - 2*x)*(6 + 2 - 4) + (2*x + x - x)*(0 + 4 - 5))*(-3 + 0 + 7).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**3 - k**3 + 3*k**3 + (1 - 4 + 1)*(20*k**3 + 33*k**3 - 35*k**3) + 4*k**3 + 3*k**3 - 5*k**3 + (-k**3 + 0*k**3 + 2*k**3)*(5 - 1 - 2).\nAnswer: -33*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, o: 1, f: 1, s: 2, u: 1}. What is prob of picking 1 o and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -10*a**2. Let z(p) = -45*p**2 - p. What is z(n(d))?\nAnswer: -4500*d**4 + 10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -17*j**4\/4 + 1963*j**2. Let z(r) = -45*r**2. Determine z(n(m)).\nAnswer: -468180*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 687 + 300. Suppose n - c = -2*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 3*q - 13. Let h(k) = -3*k**2 - k + 4. Let l be h(-2). Let m be v(l). Which is the third smallest value? (a) -3 (b) m (c) -2\/5 (d) 1\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t. Let f(y) = -9*y - 1. Let l(r) = 5*f(r) - 6*n(r). Let x(z) = -46 + 7*z - 50 + 134 - 49. Give 9*l(g) - 4*x(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1071 and 4437.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1764 and 840.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m + 2. Let c(g) = g**3 - 3*g**2 - g + 3. Let n be c(3). Let h = n - -2. Let y(u) = u - 3. Give h*y(t) + 3*r(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(108)\/sqrt(3))\/(sqrt(9) + -4*(2*sqrt(9) + sqrt(9))))\/(sqrt(288)*-2*2 + (sqrt(288) - sqrt(288)*-1*-4) + sqrt(288)).\nAnswer: sqrt(2)\/792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.03844, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - z - 18 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 15*i**4 - 45 - 70*i**2 + 225\/2*i + 5\/2*i**5 - 15*i**3 = 0.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(2\/3)*z**(5\/9)\/(z*z**4))**(1\/38) assuming z is positive.\nAnswer: z**(-23\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 322003 + -30131211?\nAnswer: -23203202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 5255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 23 - 2)*(-j + 3*j + j) - 2*j + 2*j + 2*j + 5*j + j - 4*j + (-1 + 0 - 1)*(3 - j - 3) + 1 + 2*j - 1 to the form m + i*j and give i.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5184 by 5.\nAnswer: -5184\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 3*l + 38, 5*a - 10*l = -2*l - 101 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 9. Let s(q) be the third derivative of -1\/270*q**5 + 2*q**2 - 1\/27*q**x + 1\/54*q**4 + 0 + 0*q. Suppose s(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -23 + 0*o**2 + 22 - o**2 + 5*o. Calculate w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + f + 3 + (58 - 27 + 73)*(f - 5*f + 2*f).\nAnswer: -207*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 167 = -2*i + 51, 4*j = 4*i + 444. Let g be ((-976)\/(-32) - 14)*4\/3. What is the greatest common factor of g and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*q = -2*q + 26, -5*k + 3*q + 30 = 0. Factor 10*r**3 + 15*r**4 - 19*r**2 + 0*r**k + 8 - 26*r**2 + 12.\nAnswer: 5*(r - 1)**2*(r + 2)*(3*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2736) + 3 + sqrt(2736))*-5*-3 + (3*sqrt(209)*-5 - sqrt(209))\/((sqrt(11) - -3*sqrt(11))*4).\nAnswer: -181*sqrt(19) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 492.2 + -492. Let a be 2 - (6 - 228\/54). Sort -0.5, a, z, 0.5 in increasing order.\nAnswer: -0.5, z, a, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*w = 17, -8*q + 3*q - w = 33. Let k be (-3)\/((q - -8)*(-3)\/10). Suppose -k = -3*x - 2*x. Solve -r = -x*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-27978)\/(-24))\/1)\/(2\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*x + 2*x, -36 = -5*x + 4*h. Suppose 4*i - 3 = -5*n, x*i + 2*n = -0*i + 6. Solve 0 = -q - q + i for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/42 - ((-6860)\/(-15288)*(-24)\/21)\/(-28).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - o = o - 163, o = -1. Is w less than -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*z + 7 = 0, -2*n + 3 = 2*n + 5*z. Let r be (12\/(-9))\/(3\/(-36)). Suppose 5*a - 4 = r. Solve -4*h = a*k - 32, 2*k + 0 = 4*h - n for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5009371 is divided by 9765.\nAnswer: 9691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 - 891206039.\nAnswer: -891206142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1027, -1158, -1287, -1414, -1539, -1662, -1783?\n\"Answer: y**2 - 134*y - 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c*c*c\/(c**(-4)\/c)*c*c*c)*c*c)\/c)**(-1\/12)*(c**(-6))**(-3\/11) assuming c is positive.\nAnswer: c**(105\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 740 and 26860.\nAnswer: 993820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -1)\/((-6)\/(-12)). Suppose -72 = -s*p - 2*p. Let n = p - 9. What is the highest common factor of n and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 2. Let g = b - 15. Suppose 3*c + 4 = -5*l, -5*c = -2*l - 11 - g. Solve 2 = -u, u = c*r - 0*u - 12 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 8*u + 2. Let m be r(-8). Let b = -75 + m. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 191.5 (b) -3 (c) -5 (d) -286 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 + d**2 - 9 + 2*d**2 - 3*d**2 + 5*d**2 + 0*d**2 + (0*d - 4*d + 2*d)*(-4*d + 3*d + 3*d) to the form z*d + u + p*d**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7 - 9 + 7 + t. Let g be r(11). Suppose 0 = -5*z - 15, 0*z - 4*z = -g*a + 146. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6368 plus -0.758?\nAnswer: 6367.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 12047213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(44)\/sqrt(4) - (sqrt(11) - -4*-2*sqrt(11) - sqrt(11)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 9*m**3 - 2*m**2 + m + 4. Let k be q(4). Suppose 0 = 2*l - 0*l - k. What is the common denominator of 26\/9 and (1\/(-4))\/(4\/l)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 0.00437584?\nAnswer: -0.00218792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -26240 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 4)*(-108 + 16 + 1)*(-16*v + 85 - 85).\nAnswer: 1456*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9087706217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**7\/1785 - n**6\/60 - 77*n**5\/510 - 55*n**4\/204 + 50*n**3\/17 + 63*n**2 + 8*n. Suppose u(o) = 0. Calculate o.\nAnswer: -10, -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*2*1\/((-6)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800) + 1*sqrt(800) + sqrt(800) - (sqrt(150)\/sqrt(3) - sqrt(50))*-1)\/(sqrt(30)\/sqrt(3)*-1 - (sqrt(80)*-3)\/sqrt(8)).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmlmlmlmlmmmm. What is prob of sequence lmml?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14639386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 145202376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (56\/18)\/4 - -4*(-150)\/(-675)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37471271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 0*n - 11\/60*n**5 + 1\/2*n**4 + 0 - 18*n**2 - 1\/120*n**6 + 13\/6*n**3. Let k be t(-12). Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p - n + 1 = 0, -3*p = -n - 1. Is -3 + (3 + 33)\/p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60.5 + 73. Let m = j - 12.3. Is m equal to 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2488 and 138904?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10442, -20795, -31068, -41261, -51374?\nAnswer: -61407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 32*x + 8. Let g be (-5 - 0)\/(6\/12). Let s be k(g). Suppose 2*o + o = -3*z + s, -3*z + 5*o + 260 = 0. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227092 (base 15) in base 6?\nAnswer: 55122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*144\/72.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 + 1 - 13)*((-t + 3*t - 3*t)*(2 - 2 + 1) + 2*t + 4*t - 4*t) as g*t + w and give g.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyy. What is prob of sequence yyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -240 + 636. Calculate the highest common factor of w and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1792\/(-96)*(-30)\/(-35).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29, 19, 1, -25, -59, -101?\n\"Answer: -4*i**2 + 2*i + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a*q**3 - 6*a*q + 18*a*x**2 - 13*a - q**3*x**2 + 2*q**3 + 10*x**2 - 7*x wrt x.\nAnswer: 36*a*x - 2*q**3*x + 20*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1038319093*x**3 - 352189324*x**2?\nAnswer: -6229914558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-9 + 12 - (4 + -1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 87 = 69. Calculate the remainder when r is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 14*c + 117. Let n be m(-18). Is ((-90)\/n)\/(4\/46518) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4, -6, -10, -16, -24?\n\"Answer: -z**2 + z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1182 and 498.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*a + 58*a - 254 - 157 - 360 + 144.\nAnswer: -15*a - 627","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 210.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(10)\/sqrt(8)*-6 + -2 - (sqrt(1215) - (2*sqrt(1215) - sqrt(1215)) - sqrt(1215) - sqrt(15))\/(sqrt(9)\/sqrt(3)*-2))**2 + -5).\nAnswer: 32*sqrt(5) + 319","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -748*i - 40337 = -7380 + 38851 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 879 - 923 = -11*c. Suppose 4*q - 10 = d, 4*q = -3*d + q + 30. Suppose c*j = 2*t + d, j + j + 2 = 0. Sort t, -4, 5 in increasing order.\nAnswer: t, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963620459.\nAnswer: 353, 2729803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4694942659\/30 + 156512936. Let k = 14845 - p. Find the common denominator of k and 49\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((410\/(-205))\/(74\/(-10))).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + sqrt(1539))**2*-3*-3.\nAnswer: -648*sqrt(19) + 13995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*k - 46*k - 8*k = 518 for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473377738 to the nearest integer?\nAnswer: 21757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499.44795 rounded to one decimal place?\nAnswer: 1499.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from ssttssstttsts.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32632281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + s + 57 = -4, -3*b + 93 = -3*s. Calculate the highest common factor of b and 890.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105489982127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s**2 - 4. Let j(u) = 4*u**2 + 3. Let r = -12 - -9. Let i be (-3 + 4)\/(-2*r\/48). Let v = i - 11. Determine v*f(l) - 4*j(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-76)\/3*(-36)\/(-4)*(-368)\/(-736)?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soso when four letters picked without replacement from ooooosooososssoo?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/27? (a) -1\/4 (b) 10 (c) -6 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 6*g**2 + 2*g - 9. Determine n(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3 - 40\/(4\/(-4)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 233, 794, 1893, 3710, 6425, 10218, 15269?\n\"Answer: 30*w**3 - w**2 - 4*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -48737000 rounded to the nearest one million?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 234 or 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-18))\/((-157)\/3297))\/(((-423)\/(-324))\/(-47)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 118*p - 272. Calculate x(37).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -0.06, 2, -0.2, -2\/25, 340, -0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 792 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-3))\/(4\/84*-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (459\/2907)\/((-17)\/(-4) + -5).\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2222353, 2222361, 2222369, 2222377, 2222385, 2222393?\n\"Answer: 8*v + 2222345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 0.684, -2\/25 in increasing order.\nAnswer: -2\/25, 0.684, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 1388628?\nAnswer: 16663536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -41*n**2\/2 - 1019*n\/2 + 75 = 0.\nAnswer: -25, 6\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001194 to six decimal places.\nAnswer: 0.000119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, d: 9}. Give prob of picking 2 p.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 5:52 PM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 732 - b?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11201.61764 rounded to one decimal place?\nAnswer: 11201.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -26272 divided by 1\nAnswer: -26272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/2*(52\/(-208))\/((-25)\/250)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -164. Let t = 83 - 49. Let n = t + d. Is -1\/3 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9114 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -de - -2e?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1510178 (base 9) to base 14\nAnswer: -179a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.4. Let o = 13.9 - d. Let x = o - 15. Which is smaller: 4\/5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 2) + 1 + 0. Let f = 117 - 115. Solve -3*q - 3 = 2*y, 4*q - f*y + 6*y = c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (16\/(-10))\/((-2)\/55). Let m = a - -83. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16508 + -16508.054951. Let n = 0.055 + k. Round n to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1197? (a) 14 (b) -5 (c) -30 (d) -0.2 (e) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -450863*b**2 - 1594*b + 85 wrt b?\nAnswer: -901726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 105.11772 and 0.3.\nAnswer: 105.41772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85146 and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6100332 + 14?\nAnswer: 6100346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000420453812 to five decimal places.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**4 - 4*g**5 - 3*g**4 + (-16*g**2 + 16*g**2 + 5*g**4)*((3 - 5 + 0)*(1 - 3 + 4) - 3 + 0 + 1)*(-25*g + 27*g + 30*g).\nAnswer: -964*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 0.4 (c) 1\/14 (d) -0.5 (e) -2\/307 (f) -4\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 2852086930.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.2, 0, 0.13, 1, 2.456 in decreasing order.\nAnswer: 5, 2.456, 1, 0.2, 0.13, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51556507.\nAnswer: 379, 136033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 42329000 to the nearest one hundred thousand.\nAnswer: 42300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8066 + -8043. Solve b = -6*c + 17 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -561 in -59, -4, -7\/2, -5?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 395969 - 213289. What is u rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.5551636 nanometers?\nAnswer: 0.0005551636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -2*s + 2 - 4, -5*s - 2*d = -17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*a + 15*a = 172. Suppose -4*d - 11 = 2*i + i, i - 3*d = 5. Sort i, 146, a in decreasing order.\nAnswer: 146, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**4\/3 - 1670*f**2. Let i(x) be the first derivative of -2*x**2 - 4. Give i(r(p)).\nAnswer: -32*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*l + 11. Let p(g) = -g + 13 + 2 + 3. Let h be p(8). What is the greatest common divisor of h and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 32*r**2 - 15*r - 8. Let y(o) = 123*o**2 - 58*o - 38. Let t(b) = 23*n(b) - 6*y(b). Give t(0).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -1. Suppose -3*w - 5*b - 4 = -4*w, -4*w = 4*b + 8. Let n(q) = -3*q + 10. Let l = -121908 + 121902. Determine l*f(s) + w*n(s).\nAnswer: 3*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 3:00 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(3\/45).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -9\/976 (b) -0.1 (c) -1 (d) 0.5 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**4 - w**2 - 3*w - 1. Let s(m) = 444*m**4 + 6*m**2 + 18*m + 71. Let o(b) = s(b) + 6*u(b). Differentiate o(f) wrt f.\nAnswer: 1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 512?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149926*r**2 + 3*r**3 + 75246*r**2 + 76016*r**2 + r**3.\nAnswer: 4*r**3 + 1336*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*-53809.\nAnswer: 15604.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 8*h**3 + 6*h**3 + 6*h**2 + 2*h**3 + 5*h. Let y be x(5). What is the greatest common divisor of y and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-15))\/((-3)\/18*-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 1539?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/41)*a)\/a*a\/(a\/a**(-18)*a) assuming a is positive.\nAnswer: a**(-781\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9031354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -349, -332, -311, -286, -257, -224?\n\"Answer: 2*w**2 + 11*w - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14140)\/(-606)*6\/4 + 2 + 5. Calculate the greatest common factor of 1128 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) -6\/11 (b) 3\/5 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 - 26 = -4*a - 15*m, 0 = -a - 2*m - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {s: 1, m: 10, g: 2, b: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/82830 and -77\/50.\nAnswer: 414150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 473, 1\/3, 2\/7, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -66\/461, -1\/2, 30, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 2*h**2 - h - 3. Let r be 22\/6 - (-18)\/(-27). Let q be n(r). Suppose -w - d + 4 = d, 0 = 4*w + q*d - 11. Which is greater: 4\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -2\/13, -34, -0.1, 1\/8, 3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18359 is divided by 3059.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 551617699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 350840?\nAnswer: 350840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**4 - f**3 + f**2 + 3*f + 6. Let h(g) = 13*g**4 + 31*g**3 + g**2 + 3*g + 11315. Let x(q) = -b(q) + h(q). Differentiate x(y) wrt y.\nAnswer: 64*y**3 + 96*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27.9 - 29. Let u = g - -2.35. What is u rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 189154 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122.82 and 18.\nAnswer: -2210.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c74cc6 - 0?\nAnswer: -1c74cc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3322937 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 5073661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = z. Suppose -3*d + 8*d + 4*b + 23500020 = z, -5*d - b = 23500005. Round d to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 3 + -2 + 170 + -174?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/24*115*(-18)\/(-225)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3*2*(-2 - 3). Let c = o - 152\/5. Let n be ((-12)\/14)\/((-135)\/(-210)). Sort n, c, -2.\nAnswer: -2, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (90810\/5960 - -7*(-65)\/140)\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k + 12 = 0. Let n(o) = -11*o - 41. Let y be n(-16). Suppose 3*r - y - 36 = 0. Calculate the remainder when r is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 59.878 - 60.8. Let c = w + 0.9219619. What is c rounded to six dps?\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7376, -7393, -7422, -7463, -7516, -7581?\nAnswer: -7658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d - 2*d**3 - 4*d**3 + 14*d**3 + 7*d**3 + (-3*d**3 + 2*d**3 - d**3)*(1 - 2 - 2) + 0 + 0 + d**3.\nAnswer: 22*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325399*g**2 - 317832*g wrt g.\nAnswer: 650798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -4*k**3 + 132*k**2 - 1440*k + 5184 = 0.\nAnswer: 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000001312945 to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u**2 - 8*u + 13. Let d be l(6). Let f = -5 + d. Let p = -63 + f. Which is smaller: -29 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 5*n - 5. Let p(q) = -5 - 4*q + 12 - 3. Let h(d) = -2*c(d) - 3*p(d). What is h(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m + 5. Let i = -848 + 803. Let x be i\/(-6)*(-88)\/110. Determine r(x).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((56\/(-8) - -40) + 5)*(-1)\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -41, -1, 15, 5 in descending order.\nAnswer: 15, 5, -1, -25, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24003379?\nAnswer: 24003379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**33\/(v\/v**(1\/6))*((v*(v\/v**1)\/v*v)\/v)\/(v*(v**27*v)\/v) assuming v is positive.\nAnswer: v**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2 + 4*a + 40. What is b(13)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37.98 + -38. Let i be (-126)\/(-147) - 120\/(-56). What is the closest to t in -2, i, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -x**4\/6 - 55*x**3\/6 - 36*x**2. Let u be w(-14). Let c = -12 + 11. What is the nearest to c in 0, 3\/8, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f + f - 160. Calculate the remainder when 37 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16789*j + 16785*j - 170*j**2 - 15*j**2 in the form l + i*j + g*j**2 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 27566.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 4936646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (9 - 6)*(-1)\/(-3). Let z = d + 0. Let a be (2 - (4 - (3 - -1)))*2. Put z, a, 3 in decreasing order.\nAnswer: a, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 20 = 0. Let i = r + 16. Calculate the highest common divisor of 10 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1570 + 1608 + 1600 = -24*x + 4826 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24134 is divided by 237.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 372403734 to the power of 1\/3, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39536623 to the nearest integer?\nAnswer: 6288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = -64. Let i = r - -20. Solve i = -5*n + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 1339500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (sqrt(99) - sqrt(99)*1)\/sqrt(9)) + sqrt(11) + sqrt(539)*2.\nAnswer: 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, -1, -16, -648\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3654)\/72 - (-2)\/(-8). Let x = -37 - l. Let n(b) = -20*b**3 + 14*b**2 - 6*b. Let w(t) = -7*t**3 + 5*t**2 - 2*t. Give x*w(m) - 5*n(m).\nAnswer: 2*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1836, 3673, 5526, 7401, 9304, 11241, 13218, 15241?\n\"Answer: p**3 + 2*p**2 + 1824*p + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1154*i - 3515*i + 1212*i + 1155*i.\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 50 by 61247.\nAnswer: 50\/61247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, s: 3, g: 1, r: 3}. What is prob of picking 1 r and 3 s?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 f when two letters picked without replacement from fjjzfjs?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2041223 is divided by 1020576.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 64 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n + 5. Let f(u) = n + 6*u**2 + 0*u**2 + 4*u - 5*u**2. Let t be f(-4). Solve -i - t = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 327560, 655086, 982592, 1310078, 1637544, 1964990, 2292416?\n\"Answer: -10*z**2 + 327556*z + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12596651159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 2) to base 16\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 416*x - x**2 + 2*x**2 - 2*x**3 - 400*x to m + v*x + d*x**3 + t*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -6 + 5*c**2 - 19*c - 1\/3*c**3. Let m be a(7). Solve 16 = -4*w, -3 + m = f - w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*1*((-63)\/(-105))\/(324\/30)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.589 - -0.411. Which is the closest to v? (a) 2\/11 (b) 10 (c) 0.3 (d) 11\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-12)\/3*(-11)\/(-891)*621\/46.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -97. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 28. What is n(-14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/4480 and 33\/7.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u - u + 5*u)*(-5*u - 10*u + 3*u) + (-13 + 13 + u)*(3*u - 4*u + 5*u) + 3*u**2 + 0*u**2 - 4*u**2.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 117, 494, 1145, 2076, 3293, 4802, 6609, 8720?\n\"Answer: n**3 + 131*n**2 - 23*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -3. Let d = j + 5.9. Does d = -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68991 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1296 - -1?\nAnswer: 1297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72154*v**3 + 144210*v**3 - 72612*v**3.\nAnswer: -556*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 219.77 - 225.77. Let f = 36 + -69\/2. Suppose 5*z - 30 = 5*o, 0 = 3*z + 4*o - o. Which is the closest to f? (a) 1\/4 (b) n (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 83 - (-106 - (-21 - 89))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + l + 1. Let p = 37 - 32. Let z(s) = 29*s**2 - 24*s - 5. Let h(b) = p*w(b) + z(b). What is the second derivative of h(y) wrt y?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 8. Suppose 0 = 4*v + q + 12 + p, v + 5*q = -4. Let b = v + 6. Solve b*f + 8 = -2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -992?\nAnswer: -993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -2.8. Which is the closest to 1\/3? (a) f (b) 2\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccnmpcphmppmsmnpcpp?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/26? (a) -2\/9 (b) -1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1912320*28\nAnswer: -53544960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3037942.2\nAnswer: 1215176.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 273266 a multiple of 611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -810 + 809.986. Let l = -142.71403 + 142.7. Let z = g - l. What is z rounded to four dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**5 - 2*u**5 + u**5 + 3*u**5 - u**5 - 3*u**5 + (0*u**2 - u**2 - u**2)*(3*u - 2*u**3 - 3*u) + u**3 - u**3 - 2*u**5 + 33*u**5 + 403*u - 403*u.\nAnswer: 32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4797186?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, 300, 0.21?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.89899mm in meters?\nAnswer: 0.01189899","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -9*n**2 - 356*n + 515. Give z(-39).\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 5:12 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/87 and 40\/4581.\nAnswer: 132849","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1080)\/126)\/(75\/210).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14\/((-42)\/3249))\/5. Which is bigger: -217 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 34*g**2 - 50*g + 98. Does 35 divide a(32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11140, 20578, 30016, 39454, 48892?\n\"Answer: 9438*j + 1702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 21444850 or 21444848?\nAnswer: 21444850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 1. Let k(b) = -8*b**2 - 3*b + 10. Let a(w) = k(w) - 4*s(w). Let c(v) = 7*v**2 + 3*v - 5. Let y(t) = -3*a(t) - 2*c(t). Is y(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 44.7 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12146159.\nAnswer: 101, 241, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 118\/(-3) - (-14668)\/386?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -248 + 269. What is the highest common divisor of 77 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 578\nAnswer: -577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*g**2 - 11140*g - 10272.\nAnswer: -(g + 856)*(13*g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63967\/504606771 + -1\/14139. Is o at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13202213 - -11?\nAnswer: -13202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*x = -112 + 639 + 2025 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57177?\nAnswer: 3, 6353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90292 and 4?\nAnswer: 90292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(6897)*6*-5)\/(((sqrt(75) - (sqrt(75) + -2*sqrt(75)*-6)) + sqrt(75))*-3).\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3324 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide (-51)\/34*6 - -6906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 514, 430, 294, 106?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(3)*-3)**2 + -5) + ((1 + sqrt(432))*3)**2.\nAnswer: 216*sqrt(3) + 4007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 110\/7, 3 in decreasing order.\nAnswer: 17, 110\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 806 and 7722.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-96)\/(-56))\/6)\/((-5)\/(-70))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 0.156.\nAnswer: -0.00624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2. Let x(a) = 5*a**2 - 43916*a. Calculate x(i(z)).\nAnswer: 45*z**4 - 131748*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8359 and 206?\nAnswer: 8565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66 and 1250.\nAnswer: 41250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3791 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 9) to base 3.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-212)\/318 - (-4564)\/6. Calculate the highest common factor of 160 and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17383 + -17378. Put 51, f, 1, 4, 3 in decreasing order.\nAnswer: 51, f, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 121102?\nAnswer: 121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 446713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 874 + -865.14. Let l = -0.14 - b. Let c = -8.932 - l. What is c rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001176624459 to 7 decimal places.\nAnswer: -0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132400 is divided by 373.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2112 + 2068. Calculate the remainder when h is divided by 1044.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, f: 8}. What is prob of picking 3 f?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206 = -5*l + 64. Let j = l + -51. Solve -m + o = 4, 3 = -m - j*o + 15 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**0*v**7)\/(v*v**9*v\/((v\/(v*v**(-3\/2)\/v*v))\/v*v*v)*v) assuming v is positive.\nAnswer: v**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n*n*n**19*n*n*n)\/n*n**(-1\/4)\/n*(n*n**1*n)\/n**(1\/48))**(2\/9) assuming n is positive.\nAnswer: n**(1235\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 13. Let h = -1.000003 - l. What is h rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -14*c + 1207. What is the third derivative of 321*u**4 - 12 - 322*u**4 + 12 - 60*u**3 - c*u**2 wrt u?\nAnswer: -24*u - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 783615921 to the nearest integer?\nAnswer: 27993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 382 is divided by 42?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 875*q - 32358 + 767 + 1841 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + (0 + sqrt(396) - sqrt(396)))**2*-4*1 + -2.\nAnswer: -402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + g - 7 = -0*n, -10 = 4*n + 5*g. Sort n, 3, -11 in decreasing order.\nAnswer: 3, n, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/1009078 and 17\/21042.\nAnswer: 1516644234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 6 - 6)*(-1 + 11 + 6) + (3 + 1 - 6)*(1 + 1 - 4))*(2*s + 0*s + 0*s).\nAnswer: 136*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o**3 + o**2 - 2*o - 1. Suppose -3*y + 8*y - 10 = 0. Is 22 a factor of q(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*a**3\/11 - 4*a**2\/11 - 38*a\/11 - 12\/11 = 0. Calculate a.\nAnswer: -2, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-25))\/((-10)\/(-125))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b + 6*b + 84 - 29 - 55 - 10*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p**4\/2 - 14391*p**3\/2 - 26883*p**2 + 8268*p = 0.\nAnswer: -4, 0, 2\/7, 689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 8 = 3*a, 0*a + 5*q + 9 = -4*a. Suppose 4*p - 2*r + 0*r = 618, -a*p + 615 = r. What is the greatest common factor of 14 and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, -1\/5, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 12:46 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7570273*a*y**6 - 2*a*y**4 - 3*a*y**2 + 249*a - 3076*y**2 + 2 wrt y?\nAnswer: -908432760*a*y**3 - 48*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38709\/10 - -7743\/2. Suppose -4*l = 4*w - 4, 2*w - 2*l + 1 + 17 = 0. What is the nearest to 1 in o, 3, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 8157*l - 81529. Determine b(10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fbffffb. Give prob of picking 2 b.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0531542 to 3 dps.\nAnswer: -0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 725\/(-35) + 4\/(-14). Let k = 48 + a. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14\/703 - 1644\/11951. Sort 0.03, g, -3, 74\/3.\nAnswer: -3, g, 0.03, 74\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*t - 3 = 530*t + 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - s + 24 = 0, 2*j + 273 = -13*s + 195 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - 2*sqrt(99)) + sqrt(99))*4)\/(-1*sqrt(81)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - p + 8, 2*a + 19 - 5 = -2*p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/11 (b) -0.05 (c) -3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 311 (base 11) to base 13\nAnswer: 22b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -305*q**2 - 2*q + 12. Let s(f) = 300*f**2 + 3*f - 15. Give -5*b(w) - 4*s(w).\nAnswer: 325*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 5*n**2 - 2*n + 6*n**2)*(n**2 - 2*n**2 - n**2).\nAnswer: -16*n**4 + 4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 1:57 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -0.1, 2\/11, -2, 5 in decreasing order.\nAnswer: 5, 2\/11, -0.1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1735 is divided by 76.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 12110 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 176\/(-12)*33*(-3 - 2 - 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183581 - 33673 - 118959 = -1818*h - 103509 for h.\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-34)\/(-51))\/(4\/(-18)). Let u(k) = k - 2. Let n be u(6). Which is the second smallest value? (a) -0.5 (b) v (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114445 (base 6) to base 3.\nAnswer: 111212102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 divided by -2?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 4*k**2 + 4*k + 7. Let s be i(5). Solve m = s*m - 1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-1099)\/(-84) - 15\/12\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from lnnznznvznnzzn?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(156) - (sqrt(156) + sqrt(156)*-1)))\/(1*sqrt(12)*-3).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90006 is divided by 89947.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -389316778 by 346.\nAnswer: -1125193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:21 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (304263\/(-67041))\/((-2)\/(-26))?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/36*(-12)\/32.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**2\/2 + 160290*d + 2244207\/2 = 0.\nAnswer: -7, 106867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v - 16*v = 4. Let o be ((-3)\/10)\/((-9)\/(-12)). Let w = -6 - -4. What is the nearest to w in o, v, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 68, -10, -8, -5 in increasing order.\nAnswer: -10, -8, -5, -3, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6.421314ug?\nAnswer: 6421.314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 9 + 3 - 15. Let c(d) = d - 4. Calculate -3*b(i) + 2*c(i).\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.116 + 81.884. Let c = -81 + o. Which is smaller: c or 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -14 + 5 + 38.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/2 + 3919357*m**2 + 31354832*m + 62709648.\nAnswer: (m + 4)**2*(m + 7838706)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 511?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 13*u - 27. Is 22 a factor of o(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 27664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10139776*k*y**3 - 17*k*y**2 - 5*k*y + 230*k - 4*y wrt y.\nAnswer: 60838656*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*r**3 - r**3 - 21*r**4 - 7*r**3 + 20*r**4 + 4 to y*r**2 + w*r + n*r**3 + c + h*r**4 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 49 = 129. Suppose -60 = -g*x + 13*x. What is the smallest common multiple of x and 50?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - s = -277, -5*g - s - 459 = -2*s. Let t = g + 89. Is (-3 - t)\/(7\/(-938)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -260566, -260805, -261054, -261319, -261606, -261921, -262270, -262659?\nAnswer: -263094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*(sqrt(272) - (sqrt(272) + 0 + sqrt(272) + 0 + sqrt(272)) - sqrt(272)) + 1)**2.\nAnswer: 192*sqrt(17) + 78338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*a - 24 - 19 + 43 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2183*j + 6235 = 8881 + 10452 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7d (base 14) in base 13?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/6 - (-1)\/((-6)\/(-2))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(4\/11))**31 assuming a is positive.\nAnswer: a**(806\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8505)\/54)\/63)\/((-5)\/(-16)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p + 3*p**4 + p**4 + 0*p - p**2 + 6*p to the form v*p**3 + j*p**4 + m + d*p**2 + o*p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -141?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -135?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 39824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1186.4 bigger than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(2\/125) assuming n is positive.\nAnswer: n**(-4\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**7\/3360 - t**6\/180 + t**5\/40 - 41*t**3\/2 + 168*t. Let j(k) be the second derivative of b(k). Factor j(s).\nAnswer: s*(s - 6)*(s - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**4 - 130*x**3 - 9728*x**2 + 842766651*x?\nAnswer: 36*x**2 - 780*x - 19456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 15 = 120. Let a(m) = -7*m - 8. Calculate the least common multiple of a(-5) and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78)*1 + sqrt(78) - sqrt(78))*-1 - -2*(sqrt(78) + -1*sqrt(78)))*2)\/((-1*(sqrt(168) + sqrt(42)))\/(sqrt(252) + -2*sqrt(252))) + 3.\nAnswer: -8*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1325758*v = -1325798*v - 320 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - ((-157 - -78) + 79).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/15, 2, 2\/11, -3\/8?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -7 (b) -0.07 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 5*v**2 - v. Let w be g(-5). Solve -w*z = 2*u - 24, 2*z + 2*z = -4*u + 24 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (-14344)\/594 - 4\/54\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let j(l) = -8*l**2 - 6 + 6 + 85*l**2. Determine u(j(f)).\nAnswer: -77*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.386 + -1.186. What is the fourth smallest value in -0.1, 1\/3, 4\/7, p?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 495, 2292, 5353, 9672, 15243, 22060, 30117, 39408?\nAnswer: 49927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25107 + 6524. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 7*n - 4. Let i be a(7). Suppose 4*v - 5 = 4*l + l, 2*v + 2*l - 16 = 0. Calculate the remainder when (-2)\/(i\/18) + 0 is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(204) + -2*sqrt(204)*2)*-2*3)\/((3*sqrt(84) + sqrt(84) + sqrt(84))\/sqrt(7) + sqrt(24)\/sqrt(2)*-4))**2.\nAnswer: 5508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 3*z - 1. Let d be c(-2). Let j = d - 3. Let q = -4 + j. Is q less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2032 by -127.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47.27 - -47.2. Suppose -12 = 3*g, 10 = 3*r - 4*g - 15. Sort -3, r, f, 0.4.\nAnswer: -3, f, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1467*p**3 - 1406*p**3 - 189*p**3 + 182*p**3.\nAnswer: -2880*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -11, 4, -0.1?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 30*s**2 + 3 + (-1 - 4*s + 1)*(-4*s - s + 4*s).\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - 56. Let l = 140 + w. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2.8893345 months?\nAnswer: 0.00240777875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 11*w - 10. Let r be j(-10). Suppose r = 2*i + 43 - 173. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((-132)\/9) + 20907\/1518\nAnswer: 27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -3bd2 (base 14) to base 16\nAnswer: -294c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*d + 27 + 6. Suppose -3*v + 4*h + 437 = 0, -2*v - d*v + 767 = 3*h. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38518 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148 + 87?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1408)*3)\/(sqrt(99) - (sqrt(99) + -5*(-1*sqrt(99) - sqrt(99) - sqrt(99))))*1 + -4.\nAnswer: -4 - 8*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*p = -6, -p = 2*w - 6*w - 2. Suppose -5*y + 10*y - 40 = w. Let g(c) = 20*c - 30*c - 3*c**2 - y + 2*c**2. Determine g(-6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 703\/466 - 2\/233. Let n = 2.04 - 0.04. Put 3, m, n in descending order.\nAnswer: 3, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00124147 to 5 dps.\nAnswer: -0.00124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 934 + -792. Is o < 142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (170\/(-75))\/((-2)\/20). Let w = -22 + v. Which is smaller: 3\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -3*p - 26, 5*g - 5*p = 42 + 28. Let l be ((-3)\/4)\/((-6)\/g). Suppose n + 0*n - 5 = 0. Solve 9 = 3*y + 4*z, -l*y + 0 = -n*z - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 8:58 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -8*r - 58. Let c be k(-11). Let m be 1 - 4*c*1\/136. Let f = -16 - -16.4. What is the closest to -1 in f, m, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.4, -1.07, -2\/9?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a + -f493?\nAnswer: -f479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1378905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -268*h - 6280. Determine s(-24).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - 22?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 878*a**2 + 1130 - 24*a**2 + 8*a**2 - 621 with respect to a.\nAnswer: 1724*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**3\/3 + 8*j - 23. Let m(z) be the second derivative of 7*z**3\/6 - z. Determine m(h(g)).\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135654.\nAnswer: 2, 3, 23, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 7*v - 29 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1311010 (base 4) to base 15.\nAnswer: -2347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.1 and -473.\nAnswer: -471.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 0*y**2 + 0 - 21\/40*y**5 + 0*y**3 - 1\/4*y**4 - 1\/4*y**6 - 4*y. Solve r(s) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 4*w - 495, -4*d - 2*w + 396 = 2*w. Suppose -2*f + d = f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253151537 to the nearest integer?\nAnswer: 15911","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90 - -110. What is the smallest common multiple of 4 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - 3) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(-5*-3*sqrt(5)) - (6*(sqrt(17) + (sqrt(1700) - (sqrt(1700) + 1)) + sqrt(17) - sqrt(17)))**2.\nAnswer: -648 + 1081*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -10*g + 152. Let y be n(15). Solve -y*h - 4*f = 4, 2*f + 0*f + 2 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.04 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*q - 1763 - 4279 = 0. What is the remainder when q is divided by 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let n be q(2). Calculate the highest common factor of 10 and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3837432 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(z) be the first derivative of -2*z**3\/27 + 79*z**2\/9 - 52*z\/3 + 934. What is h in d(h) = 0?\nAnswer: 1, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243))**2 + -5 - sqrt(243).\nAnswer: 9*sqrt(3) + 239","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1234, -5128, -11626, -20734, -32458, -46804, -63778?\nAnswer: -83386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1338052, 2675816, 4013580, 5351344, 6689108?\n\"Answer: 1337764*y + 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 - (-8 - (3 + (-8 - -10))) - -12 - -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-23))\/((-567)\/(-299943)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 54\/13 + (-6)\/39. Solve -4*c + 12 = 4*v, q*v + 0*c + 5*c = 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from {t: 2, m: 4, n: 7, d: 1, a: 4}?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -5 - -1) + -3. Let m be t\/3*(-195)\/26. Let i(a) = 44*a + 8. What is the hundreds digit of i(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60369 is divided by 56.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 4, 2, 43?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4700 - 33539831.\nAnswer: -33544531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.414745733 and -8.\nAnswer: -7.585254267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:46 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16493, 16550, 16645, 16778, 16949, 17158, 17405?\nAnswer: 17690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*q + 14 = 2*i - 61*q, -2*i + 3*q = -30. Solve 0 = -8*m - i*m + 85 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 15*j**2. Let u(p) = -2*p**2 - 952. Calculate u(q(d)).\nAnswer: -450*d**4 - 952","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19610955.\nAnswer: 3, 5, 7, 13, 4789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-448)*8\/(-9)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 84 = -2*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*a + 61*a + 70*a = 4*h + 28, -3*a - 4 = h + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 118*u - 114*u - 200. Let m = 228 - 103. Calculate the greatest common factor of u and m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:05 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33569005 is divided by 1439.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -48bb (base 13) in base 8?\nAnswer: -24066","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g = -4*q - 313, 1939*q - 1955*q = 5*g + 1135 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7873676, -7873674, -7873672, -7873670, -7873668?\nAnswer: -7873666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0*u**2 - 3*u + 11\/6*u**3 + 0. Let y(f) = 6*f. Calculate -4*l(v) + 7*y(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 86.\nAnswer: -2, 1, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u + 4 = -y + 119 + 60, 5*u - 7 = -3*y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -5 - -2) + 0 + 7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o - 15 = -35*o. Let x(h) = -9*h + 22. What is the remainder when x(o) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eiie when four letters picked without replacement from eeniiieine.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -37575 divided by -5\nAnswer: 7515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1204 - -1207. Let f(x) = -x**2 - 4*x + 10. Calculate f(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44*160\/5720*-39?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/1)\/((-4)\/(-20)). Solve -l*q = 5*d - 6*d - 16, -12 = -3*q for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (-2)\/((-12)\/10). Let d be 3\/(-60) + -4 + 120\/25. Which is the nearest to -0.1? (a) f (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.087 + -0.077. What is the third smallest value in -2, c, -1\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 27\/2 of a tonne?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t + 86*t + 649 + 53 = 0 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 + 44. Does 16 divide ((-66)\/b + -3)\/((-3)\/(-54))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.2 - 19.4. Let g = -5 - -4. Let m = 0.6 - 0.9. Which is the biggest value? (a) m (b) h (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65451 by 261.\nAnswer: 21817\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94.1 - -89. Let p = x - -5.016. Let d = 0.616 - p. Which is the biggest value? (a) 1 (b) -0.5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-4))**(-4\/5))**(-1\/22) assuming p is positive.\nAnswer: p**(12\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 - -18. Let o(r) be the third derivative of 1\/210*r**7 + 0*r**6 + 0 - 1\/180*r**5 + 0*r**3 + 0*r**4 + 1\/504*r**8 + 0*r + z*r**2. Solve o(j) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d + 52. Let s be a(-9). Suppose -76*r = -s*r - 2850. What is the hundreds digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312060052*f**3 + 36 - 15 - 312060054*f**3.\nAnswer: -2*f**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -19559 to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 134, 4 in ascending order.\nAnswer: 4, 7, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -28*w. Let a(u) = 16*u + 81 + 35*u + 15 - 92*u + 39*u. Calculate n(a(d)).\nAnswer: 56*d - 2688","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqg when three letters picked without replacement from wqg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 3*h**3 - h + 2. Suppose 457 = 64*u + 31 + 234. Let a(w) = 6*w**3 - w**2 - 2*w + 3. What is u*a(g) - 5*s(g)?\nAnswer: 3*g**3 - 3*g**2 - g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929054 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z - 6. What is f(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/44*2 - (-885)\/(-2596).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}