diff --git "a/data/dm_maths/full_data_1/2003_11255.jsonl" "b/data/dm_maths/full_data_1/2003_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2003_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in 106284 - 106284 + i**2 + i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2229 and -2229 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-4*t**2 + 0*t**2 + 8*t**2)*(204 + 325 - 764 + 549) as j + z*t**2 + i*t and give z.\nAnswer: 2512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 4*u**2 + 6*u + 8. Let s be o(-5). Let k(g) = g**2 + g - 5. Let t be k(5). Suppose t + s = 4*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 345, 547, 747?\nAnswer: 945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5868, 0, 5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22316942.4 rounded to the nearest 100000?\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 46*m + 96*m + 2 - 871*m + 78 - 857*m wrt m.\nAnswer: -1586","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -55 + (-11 - -30).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, -3\/2, -363914, -2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 2*x - 3. Let r be w(-2). Suppose -5*m = 4*h - 28, 2*m + 8*h - 13*h = -2. What is the biggest value in -4, -2\/15, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**5 - 124*j**4 + 6112*j**3 - 5*j**2 - 2*j - 384848 wrt j.\nAnswer: -120*j**2 - 2976*j + 36672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 11*m - 32. Let t be (-4 - -3 - -23)\/2. Let q be d(t). Let y = -18 - q. Calculate the highest common factor of y and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-12)\/28 + 143\/7. Let y = -1 - 0. Let c be 11*y*(0 + -1). What is the highest common factor of c and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/7 - 1959*c**2\/7 - 304938*c\/7 - 897264\/7 = 0. What is c?\nAnswer: -402, -248, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/4)\/(3\/(-2)))\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22682364.\nAnswer: 2, 3, 887, 2131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 175647, 175658, 175683, 175728, 175799, 175902, 176043, 176228?\nAnswer: 176463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-6\/25)\/c)\/c)\/(c\/(c*c**(2\/9))))\/(c**9*c*c)**(-3\/35) assuming c is positive.\nAnswer: c**(-1693\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2015\/66 + -576\/11. Find the common denominator of -11\/21 and c.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.677727327 rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-138)*3\/(-12). Let o = -133\/345 - s. Let y = 0.4 + -0.9. Which is the smallest value? (a) o (b) y (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 - 2 + x + 0*x + 0 + 3. Let a(h) = h**3 + h**2 - 2*h - 2. Let u be -1*(1 - -2) - -1. Determine u*a(f) - 2*m(f).\nAnswer: -2*f**3 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*v + 115*v**2 - 12*v.\nAnswer: 115*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 27 - 78. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j**2 - 9*j - 9. Let m(r) = 61*r**2 - 5 + 61*r**2 - 124*r**2 - 5*r. Suppose 3*o = u - 6, u + 0*o + 3*o + 12 = 0. Determine u*z(h) + 5*m(h).\nAnswer: -h**2 + 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -803 - -1176. Let q = j + -372.7. Which is the second biggest value? (a) 0.8 (b) 0.5 (c) 0 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - -14. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 16 = 4*w, -2*r + 13 = -w + 17 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 830*z = 2852 + 9504 + 924 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 12 + 30 - 36*p**2 to y*p + a*p**2 + j and give a.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11005 is divided by 647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 1 = -3. Let c be (f\/3)\/((-2)\/60). Let i = c - 5. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15*2)\/(4*(-4)\/(-8)*40\/(-80))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktg when three letters picked without replacement from kxtxhttgxgrr.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -219. Calculate the remainder when w is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of 0 - 2\/15*j**6 + 2\/3*j**4 + 3*j + 0*j**5 + 0*j**2 + 0*j**3. Find the third derivative of l(v) wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.155 + -3.845. What is the biggest value in p, -18, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/928 and 79\/2?\nAnswer: 928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 50 = -5*g + 15, 2*y = -4*g - 26. Sort -5, g, -2.\nAnswer: -5, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1135d - -1?\nAnswer: -1135c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -656254 + -3?\nAnswer: -656260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1258880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5694042763?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-288)\/9)\/8*4\/(-2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 134.5 and 0.4.\nAnswer: 134.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150) - (sqrt(150) - sqrt(150)*1 - sqrt(150))*1)\/(((sqrt(110) - sqrt(110)*2) + sqrt(110) - sqrt(110))\/sqrt(11)))\/(sqrt(9)\/sqrt(27)*-1*6).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2378, -10013, -22730, -40523, -63386?\n\"Answer: o**3 - 2547*o**2 - o + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 15, 3*v + 2*w = 8*v - 40905. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 p when four letters picked without replacement from {f: 10, p: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-200)\/256)\/(120\/288).\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 7*r**2 + 27*r + 1. Let q be z(5). Let c = -161 + q. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001070474 rounded to 6 dps?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 923 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -280, -716, -1484, -2674, -4376?\n\"Answer: -15*f**3 - 31*f**2 + 4*f - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/3190 and -41\/94424.\nAnswer: 472120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1348532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 225905827103 + -590?\nAnswer: 225905826513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3879 - -221.\nAnswer: -3658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (sqrt(180)*1 + 3)**2 - -1*(sqrt(405) + 0).\nAnswer: -189 - 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10 - -253) + (-7 - -2). Let a = 390 - z. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 9:01 AM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2148 (base 10) to base 14.\nAnswer: ad6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2357*m + 52391. What is q(22)?\nAnswer: 537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6858 to the power of 1\/2, to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d17a4 - -4?\nAnswer: 2d17a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u - u)*(-390*u - 529*u**3 + 390*u).\nAnswer: 1058*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k + 10*k - 4 + 2*k**2 to the form f*k + n*k**2 + u and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -9175930 to the nearest ten thousand.\nAnswer: -9180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -671*j - 100*j - 24649 = 12359 for j.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/6)\/(2\/(18\/(-33)))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 3:19 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -820131.0319 to the nearest 10000.\nAnswer: -820000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 160257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4461 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 13328994*u\/5.\nAnswer: -2*u*(u + 6664497)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -313 + 550. Suppose -8*u - 77 = -q. Calculate the least common multiple of u and 150.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2. Let d(z) be the third derivative of -13\/60*z**5 + 0 + 6*z**2 + 0*z + 0*z**4 + 0*z**3. Calculate j(d(t)).\nAnswer: 169*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*o**3 + 255*o**2 + 20139 wrt o?\nAnswer: -21*o**2 + 510*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -7*o + 16. Let b(n) = 2*n**2 - 4*n - 5. What is the tens digit of b(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4887)\/(-15))\/(3660\/(-200)). Which is smaller: -17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + a - 1)*(-2 + 3 + 3) + 5*a + a - 3*a)*(6 - 2 - 2).\nAnswer: 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(95) + sqrt(95)*2 - sqrt(95)))\/(-3*sqrt(20)))**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of 0 - 5*t + 1\/120*t**5 - 1\/16*t**4 + t**2 + 1\/6*t**3. Let h(g) be the first derivative of r(g). Find x such that h(x) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -34. Let w = s + 7. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-3)*((-171)\/(-6))\/19. Suppose -2*z - 14 = -2*s, -10 = -n*s + 4*z + 10. Solve 14 = 4*m + 2*d, s*m - 3*d - 3 = -14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s + 7. Suppose -56*o - 151 + 45 = -3*o. Calculate d(o).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((sqrt(400) - -2*sqrt(400))\/sqrt(8))\/(sqrt(10) + (-1*sqrt(90) + sqrt(90))\/sqrt(9)) + 3)*3.\nAnswer: -3 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 439276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 6*v**2 - 2*v**2)*(0*v + 0*v - 2*v**2) + 2*v**4 - 2*v**4 - v**4 + (-7*v**2 + 171 - 171)*(-2 + v**2 + 2).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12615 - -12615. What is q in 2\/23*q**5 + b*q**2 + 0 - 4\/23*q**3 + 2\/23*q + 0*q**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**2 + g - 2. Let i be d(1). Suppose 2\/7*a + 0 + 2\/7*a**i = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/4)*o*o)**(2\/61)\/(o**(2\/11)\/o**(1\/8))*(o**2)**(-8\/7)\/(o**3*o\/(o\/o**(-3\/5))) assuming o is positive.\nAnswer: o**(-880247\/187880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 621 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1654197 from -0.51246219.\nAnswer: -1654197.51246219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -5, -94, -77 in increasing order.\nAnswer: -94, -77, -5, 0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -188750?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*d - 1690 = -4*a, -1 = a. Calculate the lowest common multiple of 616 and d.\nAnswer: 6776","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 909\/92, -4, -1.99 in descending order.\nAnswer: 909\/92, -1.99, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48766 divided by 44.\nAnswer: 24383\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12 + (-245)\/20 - 27\/4. Let l(v) = 39*v + 311. What is the remainder when 125 is divided by l(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -408, -882, -1532, -2352, -3336, -4478, -5772?\nAnswer: -7212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7006048 millennia to centuries.\nAnswer: 7.006048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 - 5. Let s(a) = 2*a**3 + 3*a**3 - 6*a**3 + 2*a - 8 + 6*a**2 + 0*a**3. Let h be s(6). Determine v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by -322128.\nAnswer: -49\/322128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 2*r**4 + 584*r**3 + 40812*r**2 - 270584*r - 310814 = 0.\nAnswer: -149, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -35. Let w(h) = 2*h + 2. Give w(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 4, v: 2, y: 1, k: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1 - 3) + 1 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 55 in -1, -4, -3\/2, -53?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1729*q**2 + 269*q - 2336537 with respect to q.\nAnswer: -3458*q + 269","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**6\/30 - s**4\/2 - 15*s. Find the third derivative of p(n) wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*(sqrt(343) + 1*sqrt(343))*3 + 5).\nAnswer: -840*sqrt(7) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -458*w**3 - w**2 - 7*w. What is the tens digit of u(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 16 = 2*s. Suppose -4*p + 3*o - 3 = 0, -s*p - 2*o = o - 27. Suppose p*m = -8 + 20. Solve 7 = -m*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.01, -5, 4, 9, 0.0351, 1 in increasing order.\nAnswer: -5, 0, 0.01, 0.0351, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 0*y**3 + 0*y**3)*(0*y**2 + 2*y**2 + 0*y**2) + (-2 - y**4 + 2)*(2*y + 0*y - y).\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -2300313?\nAnswer: -2300322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 263 + -128. Suppose -3*x + 4*c + o = 0, -4*x = -0*x - 3*c - 180. Let y be 0 + 12\/4 + x. Calculate the greatest common divisor of 72 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f - 2. What is y(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(864\/8)*-15\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110101 (base 2) to base 9.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 17*y**2. What is the remainder when 31 is divided by f(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4178360*l**2*o**3*v + 38*l**2*o*v**2 + 5759*l*o*v**2 - l*o*v - 10800*o**3*v**2 wrt l.\nAnswer: -8356720*o**3*v + 76*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q**2 + 0*q)*((1 + 2 + 0)*(1 + 1 - 1) + 0 + 4 - 5)*(-1 + 12 + 4).\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2321682 and 41\/696.\nAnswer: 9286728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**3\/3 - 6*g**2 + 10*g - 14\/3 = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29087038*d**2 - 132*d - 135392.\nAnswer: 58174076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 + 2357*c**2 + 85873*c + 658075 = 0. Calculate c.\nAnswer: -25, -11, 2393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 634 = -l, 0 = 2*g - 31 + 27. Let t be (1 + (-3)\/2)\/(5\/l). Which is the second smallest value? (a) -5 (b) -4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18374919 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*a = 4*c - 45, 5 = -4*c + 5*a. Is 17 a factor of (-5 - 44\/(-10)) + 793\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49226 - -1.8942.\nAnswer: 49227.8942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l - 4*y = -20*l - 11, -5*l + 5*y = 10. Solve s + 2 = -2*d, -3*s + 3*d - 16 = -l for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14*v**3 + 2*v**2 + 2. Let d(p) = -p**3 - p**2 - 1. What is 2*d(a) + q(a)?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6880081 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - (-126)\/(-184). Which is smaller: z or 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5 - n**5 + 108*n**4 - 71*n**4 + 3*n**5 - 3*n**3 - 61*n**4 + 24*n**2.\nAnswer: 3*n**2*(n - 8)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**5\/270 + o**4\/2 + 65*o**3\/3 + 1865*o**2. Let g(s) = 0. What is s?\nAnswer: -39, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 + -42. What is the lowest common multiple of p and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36765 and 5247591.\nAnswer: 2451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 3*b - 269691, -n + 12*b = 15*b - 89889. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17889*d - 103 = 17894*d + 4*t, 90 = -18*d - 4*t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 519400 or 519399?\nAnswer: 519399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 42 + 23*t**2 + 18*t - 41 - 9*t - 104*t**2 in the form o + u*t + m*t**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(9 + -10)*(6 + 77\/7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101001000110 (base 2) to base 7.\nAnswer: -106302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/1445)\/(108\/(-1836))\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 39*d**2 + 235*d - 557. Determine m(-31).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 155 and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -286987\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1353311*a**3 + 718530*a**2 + 2*a.\nAnswer: 8119866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8826799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/21 - -2\/7. Suppose f - 2 = -0*f. Let y = 4 - f. Which is the second biggest value? (a) y (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -0 - 6. Find the third derivative of -c*x + 2*x + 4*x - 3*x**2 + 7*x**5 wrt x.\nAnswer: 420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1959436?\nAnswer: 2, 449, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kkccpcpbkcccpccbcck.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 2014.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f**3 + f**3 - 3*f**3)*(-f + 0*f - f) + 5 + 2*f**4 - 3 - 4.\nAnswer: -2*f**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1920\/576*6\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.2, -3, 409, 0, -1 in decreasing order.\nAnswer: 409, 0.4, 0.2, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = z - 3*z. Suppose 0 = -w - 0*w, 159 = z*c + w. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44233223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 1)*(-33 + 33). Let i(b) = b**3 + 21001. Is i(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 84*q**3 + 41*q**2 - 101*q - 24. Let s(a) = -28*a**3 - 14*a**2 + 34*a + 8. Suppose 6*j + j = -42. Let w(i) = j*n(i) - 17*s(i). Factor w(y).\nAnswer: -4*(y - 1)*(y + 1)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.6 + 21.6. What is the closest to 2\/9 in -0.1, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 5:12 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 494428 to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - (-2)\/(-42). Let b be 12\/40*(-2)\/3*2533. Let u = b - -507. What is the closest to u in 0.3, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:03 PM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + -2)*1 + 5. Suppose 0 = -5*h - 3*g + 14 + 31, -21 = -3*h - 3*g. Suppose s*w - h = -5*j + 163, -2*j = -4*w + 122. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -0.5 (c) 0.3 (d) 799\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-10 - -5) - (8 + 0 + 0) - 6.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z - 2*z + 131 - 132 - 6*z - 3*z - 51*z**2.\nAnswer: -51*z**2 - 10*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11))**(-6)*(m*m*m\/((m\/(m*m*m\/(((m**(-1\/6)*m)\/m)\/m*m))*m)\/m))**(8\/7) assuming m is positive.\nAnswer: m**(1112\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19740 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -1\/2*m**4 + 0 + m + 9\/20*m**5 - 7\/2*m**3 - 3*m**2. Suppose f(t) = 0. What is t?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154807596.\nAnswer: 2, 3, 73, 58907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367 - 1052\/3. Find the common denominator of ((-4)\/((-24)\/(-69)))\/((-4)\/8) and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 10*y - 8. Give s(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (7 - (11 + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**4\/24 + x**3\/3 - 3*x**2. Let a be f(-7). Is 1*-2*a\/(-2) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -160 - -282. What is the remainder when h is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127 = 2*b + 21. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*b = 1, 0 = -2*m + 5*b + 1 + 1. Let z be 30\/7 - (-4)\/(-14). Suppose -2*k - 5*c = -5, -k - 3 = -z*c + 1. Solve k = -4*y + m - 17 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5 + 6*b - 6*b - b**2. Let m = 0 + 4. Calculate s(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 925590037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 52584*u**2 + 2*u - 24832 wrt u?\nAnswer: 105168*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -5*t - 3*h + 177, -109 = -4*t - 3*h. Let i = -17 + t. Calculate the least common multiple of i and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -283085\/4578 - -2\/763. Let i = k + 51. Calculate the common denominator of i and (-603)\/(-6)*2\/54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12835*c + 120. Let u(v) = -987*v - 9. Determine 40*u(m) + 3*w(m).\nAnswer: -975*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009088 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-10) + (-6)\/10. Let u(d) = -2*d**2 - 30*d - 31. Let k be u(-16). What is the units digit of (-36)\/k + ((-4797)\/(-21))\/q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -3*t - 2*h + 7*h, -3*t - 3*h = 6. Suppose 0*s - 5*s = -40. Solve t*o = -2 - s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 622966546.\nAnswer: 2, 23, 41, 330311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 243272 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 320184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393339.\nAnswer: 3, 131113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -49*f**4 + 343\/10*f**5 + 28*f**3 - 8*f**2 + 0 - 12*f. Let h(s) = 0. Calculate s.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001696222 rounded to seven dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in -15, -0.2, 5, 0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3054204004 - 3?\nAnswer: 3054204001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1134.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 87 + -128. Sort -3, -2, w in ascending order.\nAnswer: w, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 36*k**3 - 90*k**2 + 84*k - 27.\nAnswer: -3*(k - 9)*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2785094*z + 4364387*z + 5113156*z.\nAnswer: 12262637*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2869400 to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ody when three letters picked without replacement from dkydoydkd.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, n: 1}. What is prob of sequence nmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*g + 189 = -57*g. Let d = 7 + -12. Put g, d, -2 in ascending order.\nAnswer: g, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {j: 1, a: 2, e: 2, n: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 55.9009 days?\nAnswer: 4829837760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (3 + 11) - -26.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/54*18\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 9:20 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 59*y + 239. What is the lowest common multiple of s(-2) and 4092?\nAnswer: 45012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -76\/3 (b) -2 (c) 3 (d) -0.2 (e) 1\/6 (f) 1\/22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*u + 332739 = -342315 + 22314. What is the least common multiple of u and 440?\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:15 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*o + 2 + 4, -5*o = -4*s - 27. Sort s, 3, -2, -1 in ascending order.\nAnswer: s, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 6 + (1 + -9 - -4)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*d**4*y - 10*d**2*y - 2*d - 54*y wrt d?\nAnswer: 132*d**2*y - 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -29*f + 78. Calculate the remainder when a(2) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24\/(-60) - 1004\/(-10).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1\/(-6) - -2) + -2. Let f = 0 - -5. Let t = -1 - -3. Which is the third smallest value? (a) f (b) t (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 1438546\nAnswer: -5\/1438546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6356377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 12*y**3 + 7*y - 8*y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 279\/18*(3 + -1). Suppose f = x - 2. What is the highest common factor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/6)\/5*6. Suppose 0 = 5*m - u*j - 235, -m + j = -6*m + 235. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55055 divided by -4235\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**2 + 50*m + 15. Determine j(-11).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 106174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.6 - 1.64. Are r and 10 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1625264 is divided by 92.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 8:34 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05241011 rounded to four dps?\nAnswer: 0.0524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68693, 137592, 206481, 275354, 344205?\n\"Answer: -f**3 + f**2 + 68903*f - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/(108\/3))\/(10\/36)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52.2 + 51.7. Put -4, p, -1\/5 in descending order.\nAnswer: -1\/5, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**14\/w)**24)**(-14\/9) assuming w is positive.\nAnswer: w**(-1456\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 15*j - 66. Let y be q(0). Which is bigger: y or -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1170 and 22490.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1 (b) 3 (c) 72.7 (d) 0 (e) -28\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -0.3, 0.73 in descending order.\nAnswer: 0.73, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73332871.\nAnswer: 271, 270601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -5 - (-2 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:14 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*k - 349 = -21*k + 457 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 362 - -25?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 4*r - 0*r - 23, -6 = 3*r. Suppose -u*y - 7 - 13 = 0. Put -5, y, 1, 3 in ascending order.\nAnswer: -5, y, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 513031052?\nAnswer: 2, 103, 857, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is b + 37db?\nAnswer: 3808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(21\/(-278))*-3. Suppose 0 = 2*m - b - 296. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*y - 4*y + 10*y**3 - 201*y**2 - 1 + 200*y**2 + 2*y**3 in the form n + i*y**2 + l*y**3 + j*y and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 6:44 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 506 and 2965666?\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16.02 + 25.23. Round h to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*((-4 + -1 + sqrt(720) - (4 + sqrt(180)*-2)) + 0))**2.\nAnswer: -444150 + 64800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1122\/(-102) + 1796\/164.\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1502 - -1?\nAnswer: 1503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/12 (b) -0.5 (c) -14924 (d) -2\/7 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 2*m + 0*m)*(6827*m - 112*m**2 - 6827*m) + 2*m**3 + 2 - 2 + (-2 + 2*m + 2)*(4 - 4 - 10*m**2) to n*m**3 + p*m**2 + g*m + a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/12 - 2\/1. Let j(t) = -t**3 + 14*t**2 + 5*t + 2. Let y be j(14). Let q = y + -361\/5. What is the closest to -0.3 in x, q, -3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/(-14)*-6)\/((-9)\/21). Let i(y) = -7*y**2 + 18*y - 14. Let q(m) = 8*m**2 - 20*m + 16. Let u(w) = v*i(w) + 6*q(w). Give u(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11354742 divided by -61047?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5690, -25734, -59140, -105908, -166038?\nAnswer: -239530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 3\/2 (b) -5 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 244*g = -242*g - 409229, c = -4*g + 81835. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2064 and 832656.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9989 is divided by 145?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2559*q - 79272. Determine w(-31).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -18, 38, 116, 216?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 5. Let p be (-3)\/5 + 4\/(-10). Let y(r) = r - 1. Let n = 4305 - 4309. Give n*y(d) + p*w(d).\nAnswer: -4*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.264 + -0.036. Let g = 4.2 + -4.3. What is the fourth smallest value in -3\/7, w, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-9)\/(-3) + -15072) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cp when two letters picked without replacement from {c: 1, p: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*h + 5*h + 7*h + 5*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*y = -137*y + 1814. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6975 is divided by 800.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/6 - 2) + 1. Let z(a) = 0*a - 4*a + 6*a**2 - 2 - 5*a**2. Let u be z(3). What is the third smallest value in -2, b, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 409.5.\nAnswer: 407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -475.9, 89, 2.\nAnswer: -475.9, 2, 4, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*s**2 - 5*s**2 - 3*s**2 + 2*s - 1)*(s**2 - 3*s**2 + 4*s**2) to l*s + j + a*s**2 + i*s**3 + o*s**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2374 + 7118\/3. What is the fourth biggest value in u, 79, 1\/3, 4\/7, 5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299 + 299 + 32*g.\nAnswer: 32*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -w + 38, 17*c + 15 = 14*c. What is the highest common divisor of 126 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 + 2212200?\nAnswer: 2210202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153630*j**3 + 302420*j**3 - 152264*j**3.\nAnswer: -3474*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -89, -134, -201, -296, -425?\nAnswer: -594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -19876934 and -0.4?\nAnswer: 19876933.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 13. Let m be x(15). Suppose -m*d + 6 = 2*s, -4*s = s - 3*d - 31. Let t = 8 + -4. Solve 3*q - s - t = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315020 is divided by 1388?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)\/g*g)**(-7\/5)\/(g\/g**12*g**(-2\/7)) assuming g is positive.\nAnswer: g**(839\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -10*t + 2. Let l be (-21)\/(-147) - 174\/(-7). Let u(k) = 3*k - 1. Let a(s) = 108*s - 21. Let g(x) = -a(x) - 4*u(x). What is l*j(q) - 2*g(q)?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1620 - -1635. What is the smallest value in 1.1, v, 3?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100101011000 - 0?\nAnswer: -100100101011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that w**3 - 18208*w**2 + 145615*w - 273000 = 0.\nAnswer: 3, 5, 18200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -138*w**2 + 4556*w - 93. Determine a(33).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1573) + 1 - sqrt(1573))*3*-5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*n**6 - 14*n**5 - 30*n**4 - 2645*n**2 - 1?\nAnswer: -240*n**3 - 840*n**2 - 720*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.89241 - 1.74473. Let m = -2.3871507 - j. Let u = m - 0.25. What is u rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6053 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*(-1)\/3)\/(2\/(-14)). Find the common denominator of -1 + (a - (-665)\/100) and 25\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 5*u**2. Let s be w(-5). What is the remainder when (s + -3)\/((-2)\/6) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621088.\nAnswer: 2, 13, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -971 = 4*a + 3*j, 36 - 260 = a - 3*j. Let k = a - -599. Let u = 571 - k. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-6))\/(60\/981). Let h = m + 67\/20. Calculate the common denominator of h and -5\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.284 + -56.146. Round u to zero dps.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 59.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 - (-7 + (10 - 1 - (-344 - -340))).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 1, 18 in ascending order.\nAnswer: -3, -1, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.661613 + 0.000213. What is y rounded to 1 dp?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -27 (b) -8 (c) 5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1324977296 to six dps.\nAnswer: -0.132498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bfbbfbffbfbbbfbbbrb.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v*v*v\/(v\/(v\/(v\/v**8*v)*v)))\/v**2)\/(v**4\/v**7))**(-3\/46) assuming v is positive.\nAnswer: v**(-18\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 301129369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-903)\/28)\/(1479\/372 + -4)?\nAnswer: 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -1\/6 (c) 527 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 14 + 1 = -5*h, 0 = h - 2. Let x(i) = 5*i + 8*i**2 - 4*i**2 - 6 - 2*i + v + 2. Determine x(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(sqrt(2) + sqrt(8)\/sqrt(36)))\/(-6*-2*sqrt(700))*-3.\nAnswer: -3*sqrt(7)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 + -0.4. Let n = -4.1 + 4. Let g = 0.2 + n. Is j less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/4 of a hour?\nAnswer: 49500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 65*w**3\/6 + 171*w**2 + 52*w. What is the first derivative of k(r) wrt r?\nAnswer: 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1246 or -1342?\nAnswer: -1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 66423381 to the power of 1\/4, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 27*a**2 + 9*a - 9. Let k(h) = 7*h**2 + 2*h - 2. Let x(t) = -9*k(t) + 2*q(t). Let w(s) = s. Give w(x(n)).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -68, -70, 1\/54, 17\/5, -2?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = 0. Suppose -5*j - 74 + 3709 = h. Let u = j - 354. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(539) + -2)*-5.\nAnswer: -35*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2632 times -6?\nAnswer: 1.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11167169 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 3*k = 3*l + 6, 0 = -3*k - 3*l - 18. Let f be 27 - (2 - (-9)\/k). Suppose 0*c = 2*c - f. Calculate the remainder when 40 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 2*f = -725322, -7*f - 265488 = -2*t + 97117. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373083673 to the power of 1\/2, to the nearest integer?\nAnswer: 19315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -222, -216, -206, -192, -174?\n\"Answer: 2*x**2 - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 58240\/13728 + 30\/(-33). Solve 2\/3*d**2 - x*d + 4 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 881 = 11*v + 837. Solve -9*t - r - 1 = -8*t, -r = -v for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 94 - 3*u**2 - 94. Let f(a) = -a. What is f(o(r))?\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -372890600 rounded to the nearest one million?\nAnswer: -373000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 + 2*y - 4. What is the remainder when x(-5) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -64*h - 328. Let p be y(-7). Let b = 120 - p. Factor -3\/4*x + 3\/4*x**3 + b + 0*x**2.\nAnswer: 3*x*(x - 1)*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x + 2*x + 6 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrcvwz. Give prob of sequence rz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10004634 (base 7) to base 3\nAnswer: -1112221000020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 1821 = -3*g, -5*a + 1575 = 2*g - 703. Suppose -5*k + 3*f + a = 0, -4*k + 2*f = -3*f - 370. Is k\/7 + 7\/49 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -3*v**3 + 13*v**2 + 175*v - 907. What is w(12)?\nAnswer: -2119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 189*t**3\/2 - 5*t + 18. Let g(j) = 2*j. What is g(m(x))?\nAnswer: 1134*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 9*l**2 + 12*l + 7. Let q(h) = -4*h**3 - 35*h**2 - 49*h - 27. Let u(n) = 2*q(n) + 9*r(n). What is the units digit of u(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -233*z + 3282. What is u(14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.035 minus 4983126611124?\nAnswer: -4983126611124.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/6310 and -21\/138176380?\nAnswer: 138176380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 117ba7 (base 12) to base 14\nAnswer: 753b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 1123*i**2 - 4750*i + 1526. Let a(n) = 562*n**2 - 2376*n + 770. Let j(y) = -5*a(y) + 3*p(y). Suppose j(d) = 0. What is d?\nAnswer: 1\/3, 4, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggg. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -26\/11 smaller than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/22 + (-4)\/(-6)*-1. Suppose 2*y + y + 12 = 0. Which is the nearest to -0.1? (a) 0.3 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*n**2*o*y - 2*n**2*o + n**2*y - 2*n - 2*o*y - 2*y - 80 wrt n.\nAnswer: 98*n*o*y - 4*n*o + 2*n*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/132 and 63\/20384276.\nAnswer: 61152828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2437)\/(-636057))\/(13\/(-3) - -4)?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 271*o + 554. Calculate k(-3).\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29253, -58530, -87807, -117084, -146361?\n\"Answer: -29277*c + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*u - 18 = 0, 59 = 3*q + 4*u - 2. Let y(g) = 28*g - 14*g - q*g. Let t(p) = -5*p**2. Calculate t(y(k)).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 6:52 AM?\nAnswer: 6:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1085*h**4 + 2467*h**4 - 332*h**4 + (4*h**4 + 3*h**4 - 5*h**4)*(-2 - 1 + 1))*(h + h + 0*h).\nAnswer: 6432*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 102 + 234. Let u be b\/(-18) - 6\/27. Let t be 4\/u*(-45)\/(-10). Solve 8 = 2*v + 3*d, -t*d = -17 + 5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 601871?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 p, and 1 i when three letters picked without replacement from titnkkiynptt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -955*w**3\/6 - 102*w**2 + 87*w. Is s(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 24075.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4332 - 121315\/28. What is the common denominator of o and 2*-6 + (-1182102)\/(-101780)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27618 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -63*y - 633 + 516, -y - 3*l + 25 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(13338\/180)*(-9)\/(-15)*1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 0 - 7 - 4)*(-2*i**2 + 3*i**2 + 0*i**2) + 2*i**3 + 2*i**3 - 2*i**3 - 28*i**3 - 18*i**3 + 35*i**3.\nAnswer: -7*i**3 - 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 3*u = 20, 3*t + 2*u + 8 - 33 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2965858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13.0287 and 3.13.\nAnswer: -9.8987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, 64, 314, 800, 1600, 2792?\nAnswer: 4454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*b - 9 = 43, 0 = -3*x - 3*b + 21. Suppose 8*t - 200 = x*t. Which is smaller: t or -101?\nAnswer: -101","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 252*c - 228*c + 336 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6)*s)\/(s\/s**(-37)) assuming s is positive.\nAnswer: s**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827*j = 825*j + 48. Solve -25*c = -j*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-440)\/330*1\/((-124)\/3).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 11, g: 5}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 224003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.106 + -59.894. Let h = 50 + a. Let v = 8.7 + h. Which is greater: v or -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m - 3 + 24307*m**3 - m + 4 + 0.\nAnswer: 24307*m**3 - 7*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 316\/7 - 922\/21. Find the common denominator of n and -121\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 - -60. What is the nearest to l in -0.4, 2\/9, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f**2 + 20. Let r be 1\/(15\/6)*15. Let j(i) = 5*i**2 + 7. Suppose b + y + 15 = 0, 0 = b + 3*y - 3 + 14. Calculate b*j(d) + r*l(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1596 + 3121. What is the highest common factor of 61 and c?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**2 - 1568*m + 56100.\nAnswer: -4*(m - 33)*(m + 425)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1440 and 330705.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17509 to three dps.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**3 + 2*j - 2*j + (1 + 1 - 3)*(-3*j**3 - 2*j**3 + 4*j**3).\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2823*v**2 - 422*v + 1670. Does 215 divide b(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 441333 (base 7) to base 11\nAnswer: 53125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 3)*9\/18.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 4, 11\/5, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372819 - 32*y**2 - 372819 + 15*y**3 + 32*y**2.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3224)\/95108 + 2876\/1298.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/2 + 2\/4. Suppose -j*n + 35 = -9*n. Let t = n + 20. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {s: 2, v: 10}.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - 5ec?\nAnswer: -5f2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 813405, 813414, 813435, 813474, 813537, 813630?\nAnswer: 813759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13637, 109168, 368475, 873446, 1705969, 2947932, 4681223?\nAnswer: 6987730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14.4 + -9.4. What is the closest to 11 in -0.2, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2) - (-7)\/(-2). Let o(i) = -2*i + 32. Let r be 11*(3\/3 - 0). Let u(n) = -n + 11. Let j(p) = a*o(p) + r*u(p). Calculate j(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11651\/7 + -1664. What is the fifth smallest value in 4, x, -2\/9, 1\/6, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:30 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1334124 (base 7) in base 11?\nAnswer: 110848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191392788?\nAnswer: 2, 3, 15949399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 10. Suppose -3*t + 5*t - 40 = 0. Let h be t\/16*(5 + -1). Let m(a) = a**2 - 5*a - 7. Let y be m(h). Determine x(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008426 rounded to six dps?\nAnswer: -0.000084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -169, -435, -807, -1285?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -144, -4\/7, 0, 2\/441?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/2*(-4)\/15\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and -0.98.\nAnswer: 0.0196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119465 and 50.\nAnswer: 1194650","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is 954605838 to the power of 1\/2, to the nearest integer?\nAnswer: 30897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 30631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/2 + 1339*v**3\/6 - 24419*v**2 + 95602*v\/3 + 32164 = 0 for v.\nAnswer: -2\/3, 2, 187, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1115985 - -3347965\/3. What is c in -1\/3*c**3 - 5\/6*c**4 + o*c**2 + 4*c - 1\/6*c**5 + 0 = 0?\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-27))\/((-6)\/9) + (66\/(-12) - -1)\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281148.385 rounded to the nearest one hundred?\nAnswer: -281100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2. Let c(d) = -14*d**2 - 45*d. Calculate c(p(s)).\nAnswer: -504*s**4 - 270*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 173, 261?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((14\/(-28))\/(16\/4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of f**2\/2 - 7*f + 33. Let z be u(8). What is the greatest common divisor of z and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 139980.4998 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 8) to base 16\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + t = -4, -4*i - i = -2*t - 8. Solve -2*z + 2 = -i*w - w, -4*z - 2*w + 4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18668942?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 9:21 AM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.05793 + 0.45793. Which is the closest to 0? (a) u (b) -7\/3 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414031 (base 9) to base 10.\nAnswer: -245701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -171, -0.3 in ascending order.\nAnswer: -171, -4, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 398702 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(252)\/sqrt(6)*-6)\/(sqrt(288)\/sqrt(3)).\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3 - 4 = -2*z, -5*z + u + 14 = 0. Suppose -z*m - 9 = -4*m. What is the least common multiple of 6 and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.5361857.\nAnswer: 2.1447428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k - 12*d = -13*d - 41, 7*k - 85 = 2*k + 5*d for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ek when two letters picked without replacement from akjed?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3 + 3 + (0 + 0 + x)*(-1 - 3 + 0))*(3 + 3 - 1)*(5 - 3 - 1).\nAnswer: -30*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 6 + 2 - 9. What is z(-11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (-26 + 6 - -57) + 15\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g - 42. Let m be (-248)\/12*-3 + -2. Suppose b + 2*w = -2*b + 47, 0 = 4*b + 4*w - m. Calculate the remainder when z(-11) is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:44 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -141*d - 58*d + 30*d + 225 - 224 + (-4 + 4 + 1)*(-5*d + 3*d + 4*d).\nAnswer: -167*d + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 5*o**4\/4 + 4*o**2 - 1. Find the second derivative of r(b) wrt b.\nAnswer: 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*g - 2*x - 68, -7745*x - 60 = 4*g - 7747*x for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7247, 7248, 7251, 7256, 7263, 7272, 7283?\n\"Answer: k**2 - 2*k + 7248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1750303.\nAnswer: 17, 149, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 2353?\nAnswer: -2400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3713*g + 3703*g + 120 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 170*u - 3*u + 24*u to the form j*u + m and give j.\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610487619 divided by -21.\nAnswer: 29070839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25523 - -32273. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2203044 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 9 = 12*m - q, -3*q + 30 = -4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**3 - 767316*r**2 - 3069312*r - 3069328 = 0.\nAnswer: -2, 191833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 + 11. Is -5 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u - 4*s + 11*s - 24 = 4*s - 0*s, -2*s = 24 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19? (a) 32\/7 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, p: 5}. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2467 - 2465. Solve -3*p + 8*p = -j - 17, -2*j - 10 = n*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 12*c - 34. Let i be n(-7). Calculate the remainder when 44 is divided by (18\/24)\/(i + 6\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 5398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 - (-1 + -2). Solve -x - v = v - 2, -3*x + n*v + 6 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of x**4\/4 - 2*x**3\/3 - 3*x**2\/2 + x + 3. What is the units digit of a(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1258030?\nAnswer: 3\/1258030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -311.8 - 0.14575856.\nAnswer: -311.94575856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10620 and 5112.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46826 + 47078.07. Let b = 250 - j. What is b rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*c - 64*c + m - 48, 2*c + 2*m - 48 = 0. What is the nearest to c in 1\/3, 2\/19, -0.04?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2*36)\/(-6))\/(9*(-10)\/120).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 7*w**2 + 14*w - 10. Let y be j(5). Solve 4*d - 5*d + 4*g + 18 = 0, 5*d + y = -5*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25975\/809381 - (-4)\/(-38)?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(((-90)\/(-70))\/9).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/12*21\/(-2). Suppose 5*i - 9 - j = t, 0 = -3*i + 4*t + 7. Let n = 21 - 15. Solve -n + i = -u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -0.888.\nAnswer: -0.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 342 + -70. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-990)\/360 + 2940\/80?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/5 - (-22 + -2)\/8. What is the closest to -0.1 in -20\/13, o, -4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(70)*3)\/sqrt(10) - sqrt(84)\/sqrt(300)).\nAnswer: -56*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2909 = -3*k + o, k + 1922 = 3*k - 5*o. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2339 or -2333?\nAnswer: -2339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20868782*-1.\nAnswer: -20868782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - 2110*f**2 - 4226*f - 14740. Determine a(-1053).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let z = 4 - 0. Let y(t) = -6 + z + 2 + 2*t. Determine y(l(c)).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76 (base 8) to base 2.\nAnswer: -111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -14.94867, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460462?\nAnswer: 2, 17, 29, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose u = -u + 74. Suppose -2*l - u = -y*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2898101 (base 10) to base 11.\nAnswer: -16aa428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2635 divided by 17?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b**2. Suppose -q - 3*p = 0, 2*q + 6*p - p = 1. Let s = 5 - q. Let i(m) = s*m + m - 2*m. Determine i(f(z)).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 + -100. Suppose -128 - 128 + c*y - 35*y - 4*y**2 = 0. What is y?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/(i*i\/(i\/(i**(2\/7)*i)*i)*i))\/i**3)\/(i*i*i**(-9)*i\/(i*i*i*i**(-2\/9)))*(i**(-1\/5)*i*i**(1\/15)*i)\/(i**(-1\/4))**(4\/5) assuming i is positive.\nAnswer: i**(2381\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 54 + 304 = 0. Calculate the highest common factor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 62 = 2*f - 4*k, -2*f + 4*k + 68 = 0. Round f to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3348\/39031 - 2\/1697. Which is the third smallest value? (a) -4\/3 (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*x = 7429627, -2*c + 3844603 = x + 129772. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + (-4 + (sqrt(13) + 0 + sqrt(13) - sqrt(13)) + -2)**2)*6.\nAnswer: -72*sqrt(13) + 317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -z - 25. Let y = -12414\/5 + 2537. Let l = y + z. Which is the biggest value? (a) l (b) 2\/9 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14770894 to the nearest integer?\nAnswer: 3843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, x: 1, f: 2, l: 1, z: 1, s: 1}. Give prob of sequence ffl.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.6 - 1. Let f = 0.2 + h. Let a = 0.4 - 0.1. Sort a, f, -2 in ascending order.\nAnswer: -2, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 - 2 - -6) + (89 - 97).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3055 divided by 5?\nAnswer: -611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.28 - -3. Is -2\/3 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 106*w - 690. Let n be b(7). Solve -3*d = 3*r - n, 4*r - 95*d - 28 = -91*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 26632 = k - 3*h + 2*h - 26681, 20*k = 6*h - 506 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 f when three letters picked without replacement from {k: 10, f: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1078001*f - 713140?\nAnswer: 1078001","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.436543 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3177 != -3178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 302911*v*w**3 - 2*v*w**2 - 2*v*w - 874*v - 3*w**4 - 5*w**2 - 2 wrt w?\nAnswer: 1817466*v - 72*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89513?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j, -s + j + 3*j + 28 = 0. Let f = 42 + -4. Suppose 4*x + 3*d - 73 = 0, 2*x + d = -d + f. Calculate the lowest common multiple of x and s.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 6\/(-8))*-4. Suppose 8*m - 14*m + 24 = 0. Let l be 315\/65 + m\/26. Sort -4, l, g.\nAnswer: g, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/8 + 23\/(-4). Let t be 7 - (1 - (v - -4)). Suppose 0 = 2*x - 0*x. Solve x*k - 4*w = -2*k - 2, t*k - 3*w - 16 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 378\/840*(-230)\/(-1656)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.017 - -0.435. Let i = g - 0.018. Put 3, -0.5, i in ascending order.\nAnswer: -0.5, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -18. Which is the smallest value? (a) 0.3 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 787.889.\nAnswer: 315.1556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that d**2 - 292*d + 21316 = 0.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14798608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k + 64. Let c be i(-16). Suppose c = -4*h - 5 + 5. Suppose -10*b + 4*b + 1800 = h. What is b rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19*b**3 + 15*b**3 + 2*b**3)*(-2*b + 3*b - 4*b) in the form t*b**2 + a*b + g*b**3 + r*b**4 + q and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -45*m + 8. Let p(c) = -44*c + 7. Let r(q) = 2*o(q) - 3*p(q). Is r(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (1 - -1)) + -230 + 237 - -4.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -6*a**5\/5 - 3*a**4 + 82*a**3\/3 - 110. What is the third derivative of s(g) wrt g?\nAnswer: -144*g - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 26 - (10 - 1) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)*1*3 + sqrt(18).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -113*f**7\/210 - 91*f**5\/60 + f**3\/3 - 112*f**2. What is the third derivative of y(q) wrt q?\nAnswer: -2712*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24795 divided by -95.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.059 - -0.141. Which is the second biggest value? (a) q (b) 0.034 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*(u*u**(1\/6)*u)\/u*u)**12 assuming u is positive.\nAnswer: u**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.49 or 114\/5?\nAnswer: -1.49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-7\/4)\/g**15)**38 assuming g is positive.\nAnswer: g**(-1273\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.3466699 rounded to 1 dp?\nAnswer: -12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 49 = 5*j, -3*j + 7*j - 3*m = 33. Suppose 3*u + 5*v - 17 = 0, 0 = -3*u - 0*u - 3*v + j. Put -3, u, 3 in descending order.\nAnswer: 3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17548 or 17507?\nAnswer: 17507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*f - 3 = m, -2 = 2*f. Solve -8*s + m*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58652 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -24*h + 28. Let n(u) = 7*u**2 + 5. What is x(n(d))?\nAnswer: -168*d**2 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -10 - 2) + -2 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 69*y - 72*y - 2*b, 170 - 164 = 6*y + b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -7*s**4\/8 - 157*s**3\/2 + 1461*s**2\/8 - 505*s\/4 + 23 = 0?\nAnswer: -92, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) - (2 - 80\/6). Calculate the greatest common factor of 44 and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -5027188*i**2. Let v(o) = -6*o - 15. What is v(t(j))?\nAnswer: 30163128*j**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/5 (b) 1 (c) 145 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -321895*v**2 - 492609?\nAnswer: -643790*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11033 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 1. Suppose -5*a + 8 = -12. Suppose -4*p - 5*s + 10 = a, -3*p + 22 = -5*s. Suppose -x - 2 = -3*n, -4 - 6 = 3*n - p*x. Calculate d(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303020390 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + 9*r + 15. What is o(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r - b = -16*r - 6, 4*r + 6 = b. What is the fifth smallest value in r, 1, -2, -0.4, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**2\/2 + 3*p - 21. Let i be y(-9). What is the nearest to -0.2 in -0.2, 0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3279032 or -3279000?\nAnswer: -3279032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**2 + 239171 - u**3 - 119626 + 0*u**2 - 119545.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**5 + o**4 - o**2 - 1. Let w(c) = -4*c**5 + 14*c**4 - 46*c**2 - 30*c - 2. Let b(q) = 4*l(q) - 2*w(q). Factor b(p).\nAnswer: 4*p*(p - 5)*(p - 3)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100001110000010010111 + -101?\nAnswer: 1010100001110000010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -937*s**3 - 13*s**2 + 13*s**2.\nAnswer: -937*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3090358?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3554794, -7109588, -10664382, -14219176?\nAnswer: -17773970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/321 and 14\/10323.\nAnswer: 1104561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 123661 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 2 + 3)*(-1 + 2 + 0) + 2 - 3 - 1 + 22 + 21 - 34)*(-2*o + 4*o + 2*o).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/29 less than or equal to -2085?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-3) - (-2 - -3). Let q(p) = -p**3 - 4*p**2 - 9*p - 23. Let x be q(-3). Sort w, 2\/3, -1\/2, x in decreasing order.\nAnswer: w, 2\/3, -1\/2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 10*w + 139. Let b(t) = t**2 + 5*t - 4. Let i be b(-5). Put i, -7, w, 3 in increasing order.\nAnswer: -7, i, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/(g\/(g*g**(-4))))\/(g**(3\/4)\/(g*g\/((g\/(g*g\/(g\/(g**0\/g)))*g)\/g))) assuming g is positive.\nAnswer: g**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 761723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 232 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 428*k**3*z**2 + 3*k**3*z - 38*k**3 + k**2*z**2 + 2*k**2 + 8*k*z**2 + 397*z**2 - z wrt k.\nAnswer: 2568*z**2 + 18*z - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1350 - 3?\nAnswer: 1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*q - 9*q**4 - 9*q**4 + 4*q wrt q.\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/((-80)\/(-45)) + (-6 - 4). Put a, -23, -4, 1 in increasing order.\nAnswer: -23, -4, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 5:23 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 11*o**3 - 2)*(-4 + o**2 + o + 2 - 2*o**2).\nAnswer: 11*o**5 - 11*o**4 + 22*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -596 - -596. Suppose -m = 2*m - 3*u - 5049, g = 2*u + 10. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.34? (a) -1\/3 (b) -8 (c) 2 (d) -0.5 (e) -0.42 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1684137, -1684129, -1684107, -1684065, -1683997, -1683897, -1683759, -1683577?\n\"Answer: t**3 + t**2 - 2*t - 1684137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 229*i. Let u be g(2). Suppose -r + 224 = x, r + 3*x = 87 + 137. Let b = u - r. What is the highest common factor of b and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuyyuyuuuyu. Give prob of sequence yyy.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.043, -1\/2, 0.5 in ascending order.\nAnswer: -1\/2, 0.043, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 PM and 10:29 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 92 = v + 5*w, 5*v + 4*w = 115. Let c(n) = 10*n - 598. What is the remainder when c(68) is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1677 a factor of 2252586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12352?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 5*r**2 - r - 8. Let w be x(-5). Let g(j) = 5*j**2 - 251*j - 1023. Let f be g(54). Let s = -9 - -5. Sort s, 4, f, w in decreasing order.\nAnswer: 4, f, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47135.7 bigger than 99?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 + 5 - (-45)\/(-6)*-2. Suppose j + 0 = b - 1, 4*b = -2*j + 22. Determine w so that 8*w**3 + 3*w**b + 40*w**3 - 8*w**4 - f*w**4 - 8*w**2 = 0.\nAnswer: 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 5*w**3 - 4*w + 3. Let y(a) = -a**3 + a. Let m(z) = 177*z + 174. Let n be m(-1). Give n*y(f) - u(f).\nAnswer: -2*f**3 + f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*z - 12, 4*z + 5*u + 48 - 23 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2. Let s(y) = -2*y + 97. Let r(a) = 5*a - 265. Let f(b) = 3*r(b) + 8*s(b). Give f(q(h)).\nAnswer: -h**2 - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.06 - -0.09. Let l = -0.27 - w. Let x = -2.4 + 0.4. Which is bigger: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 256220827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 60, 2\/29, -18.5, 1\/10?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 2*i + 2. Let z be q(5). Suppose -90 = -2*u - 64. What is the highest common factor of u and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-2) - 6 - (-67680)\/384. Is 171 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 7. Let r be f(-5). Suppose 81 + 1 = r*l. Let j be ((-2)\/(-3))\/(l\/3). What is the second smallest value in 1, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 111176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619760389.\nAnswer: 619760389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i*i**(-9\/5)*i*i)\/(i\/(i*i**(-4\/3))))**(1\/3))**33 assuming i is positive.\nAnswer: i**(143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3887708 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.663 - 3.668. What is the closest to -1 in -2\/3, 0, o, 0.04?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ewvvzhhjz. What is prob of sequence zvvj?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w - 146 = -24*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**4\/12 + 7*o**3\/2 - 81*o**2\/2 + 449*o. Determine f(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2 - 11*z + 3. Let t be v(-3). Let o be -2 - -2 - (-22)\/2. Suppose o = r - 0. Sort t, 4, r in ascending order.\nAnswer: t, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000056631 rounded to seven decimal places?\nAnswer: -0.0000566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1343 + -1310. Calculate the remainder when 3231 is divided by k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/6 + 66235\/78. Suppose 8*l + w = 2873. What are the prime factors of l?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 42 or 1514?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 11\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 m when two letters picked without replacement from {o: 1, w: 1, p: 1, z: 2, m: 2, f: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7937803439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4964)\/816 - (4 + 0 - -1) and -95\/664.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + u - 50. Suppose 3*f + 326 = 5*f. Let b = -83 + f. Calculate the greatest common divisor of u and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-2)*-3*12\/(-225).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930.0812 hours in milliseconds?\nAnswer: 3348292320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 66852?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 9:54 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of -l**6\/39 + 38*l**5\/65 + 4980. Find y, given that b(y) = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*y = 22, 2 = -z + 5*y + 3. Let t(n) = 5*n + 3. Let d(o) = -6*o - 3. Let q(r) = 4*d(r) + 3*t(r). What is the remainder when z is divided by q(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.3 - 0.3. Suppose -210*v + 60 = -225*v. Sort f, v, -1\/9 in increasing order.\nAnswer: v, -1\/9, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -14*j**3 + 485*j**2 - 11715*j + 4611. Let v(s) = 59*s**3 - 1941*s**2 + 46861*s - 18445. Let l(q) = 26*m(q) + 6*v(q). Factor l(b).\nAnswer: -2*(b - 48)**2*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2276\/63 + -298\/7. Let l be (4\/(-6))\/((-1288)\/264). Let w = l + -3\/46. Calculate the common denominator of w and x.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by 5\nAnswer: 49\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38361*b + 38363*b - 5*r = -24, -3*b + 10 = 4*r for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/27 and 22\/885.\nAnswer: 7965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -92 + 90.62. Let k = -133.62 + 134. Let v = p + k. What is the fourth biggest value in v, 1\/17, 1, -1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 - 373*w**2 + 2*w - 186 - 1711 - 2*w.\nAnswer: w**3 - 373*w**2 - 1897","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g - 1. Let j be o(-3). Suppose -5*v + j = -1. Suppose 6 = -c + v*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13428336139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24783271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -611.4 + 411. Let v = 200 + m. Which is the biggest value? (a) -2\/9 (b) v (c) 3 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -149\/19 or 7?\nAnswer: -149\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, v: 2, y: 1, u: 4, r: 5}. What is prob of picking 2 j?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*m + 0*m + 2*m to u + v*m and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -725 + 3 - 133\/(-19). Which is bigger: a or -708?\nAnswer: -708","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 141*p**2 + 72*p - 72. What is g(1)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/197, -0.4, -44?\nAnswer: -2\/197","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a decade in months?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 10*f - 8. Let n(b) = -4*b**2 - 9*b + 7. Let a(r) = 6*l(r) + 7*n(r). Suppose 0*t - 3*t + 33 = 0. Let c be (-72)\/(-33) - 2\/t. Determine a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f = 32. Let x = -15711 + 15715. Calculate the lowest common multiple of f\/10*5\/2 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28230 (base 10) in base 11?\nAnswer: 1a234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*m**2 + 412*m**4 - 11*m**3 - 229*m**2 - 90*m - 408*m**4 - 550*m + 3*m**3 = 0. What is m?\nAnswer: -4, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.31? (a) 0.02 (b) 11 (c) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2986 or 2977?\nAnswer: 2977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*d + 219, -5*d + 64 = f + 13. Let k be (2\/12)\/(14\/f). Factor -y**2 - 1\/3*y + k.\nAnswer: -(y + 1)*(3*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 464*j**2 - 324*j**2 - 274*j**2 + (5*j - 3*j + 0*j)*(2*j - 5*j + j) - 4*j + j**2 + 4*j in the form c*j**2 + w + q*j and give c.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 62 = -3*y, -2*y - y = -4*q - 107. Suppose 0 = 2*g - 2*v - 22, -3*g - 2*v + v + y = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 46410 - 18306 - 5*w**2.\nAnswer: -2*w**2 - 64716","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 2)*(14 + -13). Suppose b + 11 = 2*m, 4*m + 3*b + t - 8 = 0. Suppose -4*o + 544 = -3*z - 2*z, -m*o + z + 528 = 0. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:13 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10, b: 4, w: 6}. What is prob of picking 1 b and 1 i?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -122.000001136 + 122. Round t to seven dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2288560601 - 53419?\nAnswer: 2288507182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/66)*l*(l**21*l)\/l*l)\/((l\/(l*l**(-1)*l)*l)\/(l**(-21)\/l)) assuming l is positive.\nAnswer: l**(1\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 68 = -3*m for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = -2. What is the tens digit of (-1)\/(-3) + 50\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 17915*h - 33693*h + 18243*h + 216*h**2 + 8670 + 5*h**3 - 16*h**2 = 0.\nAnswer: -17, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -54. Let i(u) = -2*u**2 + 5*u + 2. Let a(k) = 3*k**2 - 6*k - 2. What is d*a(w) - 4*i(w)?\nAnswer: -w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 plus 37071876190?\nAnswer: 37071875970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67912, -135827, -203674, -271447, -339140?\n\"Answer: t**3 + 28*t**2 - 68006*t + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9118.094 nanometers in micrometers?\nAnswer: 9.118094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 46\/322 + (-9)\/3*(-68)\/42. Put -2, 0, 6, -41, t in decreasing order.\nAnswer: 6, t, 0, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 78148176.\nAnswer: 11\/78148176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58*p**3 - 13*p**2 - 238*p + 1043515.\nAnswer: -174*p**2 - 26*p - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 11.833, -0.1, 6, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (((-12)\/20)\/(-3))\/(171988\/3255) and 67\/3.\nAnswer: 16644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-6 - -5) - (6 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (4 - (12 + -21 + 153)).\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -4*y**3 + 14*y + 10 - 1\/3*y**4 + 0*y**2. Let r(s) be the first derivative of u(s). Factor r(g).\nAnswer: -4*g*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1115071*w**3 + 6*w**2 - 13*w - 2061?\nAnswer: 6690426","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -249, -455, -713, -1023?\nAnswer: -1385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 7*z - 5*g + 20 = 0, 3*z = -4*g + 7. What is the highest common divisor of z and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1262 + -812. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -93*z**3 - 4*z**2 - 7*z - 8. Let s be x(-2). Let u = -76 + s. What are the prime factors of u?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21 + 1178\/57)*-69. Let n(f) be the second derivative of 14\/3*f**3 + 0 + a*f + 1\/10*f**5 + 7\/6*f**4 + 8*f**2. Suppose n(t) = 0. What is t?\nAnswer: -4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 65033?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.4. Let k = -0.5 - -2.5. What is the closest to 0 in -0.2, f, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 6 - 2*b + 16)*(1 - 7 + 3).\nAnswer: 6*b - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -17411?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (-39)\/6 + 0\/6. What is the third smallest value in 8, a, 13, 7?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2219.91 and 0.03.\nAnswer: 66.5973","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4776 and 79\/68865.\nAnswer: 109633080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126) + 2*sqrt(126))\/sqrt(7))\/(sqrt(384)*-1).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95837301?\nAnswer: 3, 7, 1521227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k**4 - 3*k**3 - 34*k**2 - 3*k - 3. Let j(q) = q**4 - q**3 - q - 1. Let s(a) = 3*j(a) - t(a). Find the third derivative of s(x) wrt x.\nAnswer: -360*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*k + 9. Suppose -7*u + 3587 = 3601. Put -4, k, -5, u in decreasing order.\nAnswer: u, k, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -32*y. Let a(i) = 4*i + 6. What is h(a(o))?\nAnswer: -128*o - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*a + 296 = -0*a, 3*n = -4*a + 224. Suppose -64 - n = -p. What is the greatest common divisor of 17 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 8 - 3 - -26.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -c + 13, 3*c + j + 4*j = 41. Let g(k) = 7*k + c - 1 - 6*k + 3. Does 6 divide g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of -3*j + 0*j**4 + 1\/105*j**7 + 7\/40*j**6 + 0 - 4\/5*j**5 + 31*j**2 + 0*j**3. What is the third derivative of b(m) wrt m?\nAnswer: 48*m + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/4 of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 5, o: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25043 - 5788. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (83 + -48)*(-4)\/(-14).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 8*w**2 + 9*w - 3. Let z(d) = -d**2 - 19*d - 7. Let s be 8*(-7)\/42 + 106\/(-6). Let m be z(s). Give c(m).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 2 - 1 + 3*k. What is f(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 10:17 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -9 = 55165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 246122*n**4 - 2*n**3 + 8*n**2 - 2746*n.\nAnswer: 5906928*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*z - 33*z**2 - 63*z)*(2*z**2 - 2*z**2 + 3*z**3) + z**5 - z**5 - 2*z**5.\nAnswer: -101*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v + 4. Let o(x) = -5*x - 7. Let y(u) = 7*j(u) + 4*o(u). Let n = 2 + -1. Let s(d) = 1 - n - 9*d + 11*d. Determine y(s(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*w + 7*w**2 - 19*w)*(-3*w + 8*w - 2*w + 1).\nAnswer: 21*w**3 + 7*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 0.1, -4, 3\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -4, 5, -0.053, -0.3, 0.2 in descending order.\nAnswer: 5, 0.2, -0.053, -0.3, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8026110319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 3*t**2 - 30*t + 20. Let l be s(10). Which is smaller: 19 or l?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 - 21 = -2*o, 4*n = 2*o - 26. Suppose -4*v + 3*p + 13 = 0, -17 = -2*v - v - o*p. Suppose -y = v - 6. Solve 5 = -y*x - 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32501 divided by 14488\nAnswer: 32501\/14488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -305, -6, 77, -3.\nAnswer: -305, -6, -3, 3, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-261)\/(-116))\/9*10.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40 and 1152576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -38*r - 185. Let t be l(-5). Is 117 - (t - (-18)\/(-3)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of -y**5\/30 - y**3 - 13079*y**2. Let o(i) = 94*i. What is o(p(c))?\nAnswer: -188*c**2 - 564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1418*d**2 + 657*d.\nAnswer: 2836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0*j - 12 = -5*j, 3 = -u + 2*j. Let m be u\/6*4*-1. Put 8, -5, m in decreasing order.\nAnswer: 8, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -80*c - 110*c - 157*c - 566*c - 198*c. Let a(w) = -2*w**2. Calculate a(o(m)).\nAnswer: -2468642*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:17 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 249 (b) 2\/17 (c) 2 (d) -1\/12 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 w, and 1 d when four letters picked without replacement from dwcwiijiidjiimdjij.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of -2 + 1\/90*v**5 + 0*v - 5\/12*v**4 - 16*v**2 + 14\/9*v**3. Solve z(g) = 0.\nAnswer: 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370834, -741668, -1112502?\nAnswer: -1483336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -306*i + 345*i - 468 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.479 rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*h**2 + 20*h**6 - 44*h**2 + 0*h + 0*h wrt h.\nAnswer: 2400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/77 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 5*k = 20, 14*k - 16*k = 3*h - 8 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*j + 187 - 227 = 0, 41*j = 164 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.475 + 1.475. Which is the nearest to d? (a) 0.05 (b) 0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1126.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/4 + 2\/4. Let l = -26 + 17. Let w be t\/(-9) + (-34)\/l. Which is the third smallest value? (a) 2 (b) -2\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -375906.7, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15947*a + 15945*a - 18 - 78 = -3*l, 261 = 5*a - 10*a - 3*l for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 - 70*w**2 + 127*w - 2137. Calculate l(-26).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 222 - 218. Suppose -4 + 24 = -r*s, -4*z + 135 = -3*s. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l = l - 14, 2*c - 31 = l for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31878\/1848)\/(-3*(-2)\/(-16)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(3\/5))**37\/(u*u*u**(-15)*(u*(u*u\/(u\/((u\/(u*u**42))\/u)))\/u)\/u) assuming u is positive.\nAnswer: u**(576\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 104\/105 and 109\/719760?\nAnswer: 5038320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31354018721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - c = -15, 2*k = -c - 3*c - 12 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.1 + 27. Let s = -46.1 - -46. Which is the closest to r? (a) 5 (b) s (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k**3 + 0*k - 8 - 1\/2*k**4 + 4*k**2.\nAnswer: -(k - 2)**2*(k + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 224*y**5 + 4752*y**4 + 5*y**3 + y - 2243647.\nAnswer: 4480*y**3 + 57024*y**2 + 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/3692766 and 7\/264?\nAnswer: 14771064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 27*(-9)\/54*(366\/180 + -2). Is -32\/11 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24552 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17 - 27)*(-6)\/10. Solve -2*r + 1 = -4*c - 5, -v = -5*c - 2*r for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 215 = 3*n + 167, 20 = 3*n + 8 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = c - 2*a, 5*c + 0*a - 50 = -5*a. Suppose -5*r + 5*v + 11 = 4*v, -7 = -5*r + 2*v. Suppose r*h - 13 = 5. Is h at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.1. Let n = -17 + 17.2. Let q = 12 - 7. What is the third biggest value in h, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, o: 1, f: 1, g: 1, v: 2, w: 1}. Give prob of picking 1 o and 2 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.00543 + -0.1018. What is g rounded to 3 dps?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**3 + 0*p**3 - 2*p**3)*(-3*p - 19*p + 14 - 11).\nAnswer: 44*p**4 - 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -92545.57 rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 - (-116 + 62) - -59?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -3. Let o(l) = -l**3 - 5*l**2 + l + 7. Let f be o(k). Let g = 156\/7 - 22. Which is the closest to -1? (a) 0 (b) g (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/20*(-1 - -1). Suppose w = z + 2*z - 5*a - 32, 4*z - 28 = 3*a. Suppose -d - d + 130 = z*t, 126 = 2*d + 3*t. List the prime factors of d.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 - 21. Suppose 2*t - t + 2*u + 1 = 0, 0 = t - 3*u - 4. Calculate the remainder when t is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (2 - -2))*-18. Let p(u) = -3*u**2 - 3 + f*u**2 + 3. List the prime factors of p(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/11, -2\/3, 2\/9, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -61, -43, -27, -19, -25, -51, -103, -187?\n\"Answer: -i**3 + 5*i**2 + 10*i - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/(-3)*57\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*z + 88*z + 4532158 = 12641238. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -t + 2, 0*t = t - z - 6. Suppose -4*b + 62 = -9*p, 9*b = 6*b - 5*p + 70. What is the least common multiple of b and t?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -5 + y**2 + y - 2*y**3 + 1 + 4. Let l be j(-1). What is the units digit of (-2)\/4 + 17\/l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u - 5. Let k(j) = -6*j - 5. Give -6*k(f) + 5*l(f).\nAnswer: f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 12*a. Let h(z) = -z**2 + 533*z - 25. Give h(c(m)).\nAnswer: -144*m**2 + 6396*m - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/11, 26, 13, 1, 5, 3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15.0263 and -1617836122?\nAnswer: 1617836137.0263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.16 + -114.84. Let j = c + 122. Let y be (4\/(-56))\/(1\/(-4)). What is the nearest to 0 in y, j, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 91\/21 + (-2)\/3. Let s(q) be the first derivative of -15\/2*q**2 - 4 - 10*q - a*q**3. What is z in s(z) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*-33*(-166)\/(-913)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 5. Let a be g(9). Suppose 3*u + a - 41 = 0. Suppose 2*y = u*y - 6. Calculate the remainder when y is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmmt when four letters picked without replacement from {m: 9, t: 10}.\nAnswer: 35\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1127, 4522, 10181, 18104, 28291?\nAnswer: 40742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(19))*-2)**2 + sqrt(19) + sqrt(19) + -6*-5*sqrt(19).\nAnswer: 92 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - 0 - (1130 - 1139)) + 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 36. Let q be p(13). Suppose -2*z = q + 1. Which is smaller: 14 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2 = -f - 0, -3*f + 6 = -5*h. Solve -6 = -2*j + f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1.3 (b) -3\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**3 + 281*j**2 + 204*j + 150. Give d(71).\nAnswer: -489","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/7409560 and -52\/71.\nAnswer: 7409560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -68 + 156 + (19 - 41)\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4\/2 + 3171*v**3 - 10055241*v**2\/2.\nAnswer: -v**2*(v - 3171)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 + m - m - 9*m**5 + 9*m**5 + 7*m**5 + (2*m + 0*m + 0*m)*(-4*m - 4*m**4 + 4*m).\nAnswer: 4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -608 divided by -76.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4952 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*3\/(-30))\/((-2)\/1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k + 210. Suppose 17*u = 2139 - 1408. Let v = u - k. Sort -3, -5, v, -4 in decreasing order.\nAnswer: v, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.9442 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-18)*2 - -2. Let y = -36 + 41. Suppose -f + 0*f - 10 = -3*m, 0 = 2*m - 4. What is the nearest to p in -5, f, y?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r. Suppose -2*m = -10*m + 24. Let u be (77\/14 + -6)*(m + -3). Calculate w(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -23\/78 + -1\/26. Let t = -3.7 - -5.6. Let n = t - 2. Which is the closest to n? (a) k (b) -0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220000 (base 3) to base 8.\nAnswer: 2541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*z + 14*z - 2*z)*(1 + 1 - 21)*(3 + 4 + 1).\nAnswer: -5320*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 164*f**4\/7 - 456*f**3\/7 + 144*f**2\/7 = 0. Calculate f.\nAnswer: -6, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o**4 - 277*o**3 + 274*o**2 + 552*o = 0. What is o?\nAnswer: -1, 0, 2, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1134 and -8999.\nAnswer: -8999.1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 110011011110 (base 2) to base 14\nAnswer: 12b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**3 + 3*h**2 + 10. Let u be g(-3). Let p = u - -19. Solve 3*b - y - 2 = -8, 0 = b + 4*y + p for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5604?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -339*y**2. Let h(m) be the third derivative of -11*m**5\/60 - 2*m**2 + 2*m + 134. Calculate l(h(o)).\nAnswer: -41019*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 7*r = 5*k - 11, 0 = 5*k + r - 3. Let i be (-150)\/(-138) + (-2)\/2. Which is greater: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*w - 759 = -6*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4425 = 21*p. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34533227243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/(20880\/351)*((-6)\/(-4) - 9\/(-54))?\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -39. Let k be 1 + 7\/(a\/(-9)). Suppose -k*y - 662 = -6*y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 + 2*l**3)*(2*l**2 + l**2 - 8*l**2) + l**5 + 2*l**2 - 2*l**2 + (2*l**3 - 3*l**3 + 0*l**3)*(5*l**2 - 3*l**2 - 3*l**2).\nAnswer: -8*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454709637.\nAnswer: 3, 59, 67, 12781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -431 - -611. Let h = 19 + -13. What is the remainder when w is divided by 1800\/84 - 7 - h\/14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 502, 1437, 2810, 4621, 6870?\nAnswer: 9557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12*(-6)\/108)\/(6100\/(-375) + 16).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 11*c**2 + 26*c - 163. Let x be v(10). Let s(g) = g**3 + 2*g**2 - 9*g - 16. Give s(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 10:38 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 1:00 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -19, -3, 2\/15?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 10. Let d be x(7). Let o be (-10 - 0\/2)*-5. Suppose -28 - o = -d*k. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - s**2 + 2*s + 4. Let f be k(0). Differentiate -q**f - 1 + 0 + 5 + 9*q**4 wrt q.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**20\/(b**(-1))**20)\/(((b**(-7)\/b)\/(b\/b**6))\/((((b\/(b\/b**8))\/b*b)\/b*b*b)\/(b**(1\/6)\/b*b))) assuming b is positive.\nAnswer: b**(431\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 2*u**2 + 2*u + 3. Let k be a(-2). Suppose -6*h + 554 = -838. Let v be ((-6)\/9)\/(h\/(-24)). Are v and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**3 + 2*i**2 + 6*i + 9. What is b(4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409768 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 254 a factor of 42100862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 17386*x - 34771. Give c(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -136 + 133. What is the closest to -1 in 8, -1, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t - 5. Suppose -2*l = 5*d + 18, 0 = 4*l + 3*d + 2*d + 16. Let g(s) = 1. Let f(k) = l*o(k) + 5*g(k). Let z(r) = -2*r**2. Calculate z(f(x)).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 34.089 minutes?\nAnswer: 2045340000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 176 = 3*a, f - 16 = -3*f. Suppose -40*y = -38*y - a. What is the remainder when y is divided by 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 208263?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 740572744 divided by 185143186?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -58*q + 16 - 16 - 1 + (-2 - 2 + 6)*(3*q - 4*q + 0*q) - 7*q + 3*q + 2*q.\nAnswer: -62*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4184 - -4173 - 978\/(-15)*(-1)\/(-6)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -34?\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 26*t**2 + 7*t - 11. What are the prime factors of g(2)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3377211.\nAnswer: 3, 41, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/15 + 2*d**2\/5 - 1916*d\/15 - 128.\nAnswer: 2*(d - 30)*(d + 1)*(d + 32)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 1196 = -4*g, -4*g + 0*r + r + 1196 = 0. Suppose 3*k - 167 = -o, -k - g = -o - o. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 2. Suppose x = i + i. Let z(c) = -c**2 - c + 6. What is z(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 39 from -437.\nAnswer: -476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 43) + (1 - -1 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6364040957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9214 is divided by 149.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c = 24, 2*z + 62 = -72*c + 67*c + 69 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8\/7*t**2 - 4\/7 - 2\/7*t**3 - 10\/7*t = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -9 + 170*r**2 + 180*r**2 - 2*r**3 - 362*r**2 + 14*r. Give h(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + j**2. Let y(q) = -12*q**3 - 2*q**2 + 5*q + 2. Let u(a) = 5*h(a) + y(a). What is the hundreds digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142129910 rounded to the nearest 1000000?\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4 - 10 = -2*q, -q = 1. Let l(x) = 2*x - 6. Let b be l(5). Suppose 0 = b*w + w - 5. Solve w = -k + i*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 9 - (6 + 0) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -49. Suppose -4*l - w*o + 64 = 0, 2*l + 2*o = 4*l - 28. Suppose -4*k + 10 = 2*f, -3*k + 3*f - l = -0*k. Sort -9, k, 3 in increasing order.\nAnswer: -9, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -6530?\nAnswer: 6530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -3 (c) 3\/5 (d) 4 (e) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 86, 73, -14, -199, -506, -959, -1582?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -304639.\nAnswer: -12\/304639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/1166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (5 - (0 + 4)) + -14 + (-6 - 39).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62805\/945*(-5)\/187. Let l = 1\/1309 - d. Factor -2\/9*b**3 + l + 8\/9*b - 4\/9*b**2.\nAnswer: -2*(b - 2)*(b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v**3 + 1 + 5 + 3*v**2 - 4*v - v**2 + 3*v to the form l*v**3 + r + w*v**2 + m*v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 674.2 * -116.971\nAnswer: -78861.8482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 e when two letters picked without replacement from {f: 4, e: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1508483 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 1543901.05 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.3 (b) -0.07 (c) 82 (d) 0.024 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 206813 = 58*y - 147103. List the prime factors of y.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6328467 years in centuries?\nAnswer: 0.006328467","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-13 + -27) - 46.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*y = 4*y - 88, -4*y + 88 = 4*s. Suppose 7*l - 8 = 5*l. Let o = s + l. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 78*j**2 + 4*j + 2. Let c be n(-2). Let t = -137 + c. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*k - 62 = 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37026, 74053, 111080, 148107, 185134?\nAnswer: 222161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 430630391 to the power of 1\/3, to the nearest integer?\nAnswer: 755","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3672?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 84, 393, 1240, 2889, 5604?\n\"Answer: 44*d**3 + 5*d**2 - 14*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 6 - 1058*l - 1 - 1.\nAnswer: -1058*l - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.058 - -0.042. Put -1\/3, 0.3, 3\/5, d in increasing order.\nAnswer: -1\/3, d, 0.3, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -7, 692, 3, -15 in decreasing order.\nAnswer: 692, 3, 2, -7, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*p = 9, 2*p - 2 = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2146326 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/((-602)\/(-728))*4\/(-8)*-2?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-290)\/(-165)*3\/(-4) and -1\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 4*j**2 + 54234*j**3 - 54328*j**3.\nAnswer: -94*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166 + -166. Let l = -60 - -84. Solve y + 5*u - l = 0, c = -5*y + y + 4*u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -868, -1027, -1186?\n\"Answer: -159*t - 709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -17 (b) -1\/2 (c) -2 (d) 2.44 (e) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38665807, 77331617, 115997427, 154663237, 193329047?\nAnswer: 231994857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/6 - (-20)\/(-30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40.3875? (a) 0 (b) -0.06 (c) 5 (d) 1\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from igggigggggiggigigg.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 420 = -28*i. Sort i, 1, 0 in increasing order.\nAnswer: i, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 2, -25, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -311. List the prime factors of w.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + -3. Let l be 0*(0 + 4\/b). Suppose 2*c + l*c - 6 = 0. What is the smallest common multiple of 8 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5606 - -375612\/67. Let x = 181\/134 + l. Which is the closest to -1\/6? (a) x (b) -4 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*b - 266, 199 = -2*a - b + 22. Let c = 1 - 49. Let y = c - a. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 4:21 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 31*p + 11 - 17 to m*p + j and give m.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -373888244 take away 0.065?\nAnswer: -373888244.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 671368*t**4 - 39*t**3 - 3*t**2 + 409482 wrt t?\nAnswer: 16112832*t - 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 159*l**3 + 13*l**2 + 25*l - 2. Give w(-2).\nAnswer: -1272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l + 62*l - 14*l - 7*l - 25*l - l.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 399*j - 402*j = -100, x + 10*j - 67 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f = 817 + 119. What is the highest common divisor of 481 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 22*o**2 + 4*o - 20. Calculate l(21).\nAnswer: 505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18557 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/12 and 81\/130?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of -4*p**7\/105 - 4*p**3\/3 + 2*p**2. Find the first derivative of m(u) wrt u.\nAnswer: -32*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (0 - -1) + -14. Let v = t + 26. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 + 17 = 19. Sort -4, 0, q, 6.\nAnswer: -4, 0, 6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -465 = 2*w - 471. What is the second smallest value in -2\/5, w, -3\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z**2 - z - 1. Let m(p) = -4*p. Let i be m(-1). Let u = -13 - -14. Suppose -5 = i*j - u. Calculate q(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -543 + 3799\/7. Let g = 454\/7 - 65. Which is the second biggest value? (a) -2\/5 (b) h (c) -0.5 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3*r*u - 3*n**3*r*x - 2*n**3*r - 277*n*r - 7*n*u*x - n*x + 2*r*u - 30*u*x wrt u.\nAnswer: 2*n**3*r - 7*n*x + 2*r - 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 199*f**5\/20 - f**4\/4 + 5*f**3\/6 - 552*f**2. What is the second derivative of g(m) wrt m?\nAnswer: 1194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - 456803466.\nAnswer: -456803465.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0314 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2. Let f(p) = 2*p**2 - 2*p - 1831. Determine f(u(q)).\nAnswer: 2*q**4 + 2*q**2 - 1831","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n - 41*n - 5*n)*(n + 0 + 0).\nAnswer: -40*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - 7*g + 4. Let m be w(1). Solve -3*x = 2*q + 15, m*x - 4*q - 9 = q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132*0.07\nAnswer: 9.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + (sqrt(11) - sqrt(44))) + 1*(sqrt(11) + 1).\nAnswer: 1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8857 not equal to -8856?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t + 3*t - 6*t as f + c*t and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.11 + 3.89. Let z = y - 3.8. Which is the second biggest value? (a) -1 (b) -3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1952 + -1941. Solve 12 = -2*b - l, -s*b + 7*b = l + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 19 = 11*d. Let h be (-1)\/d + 1548\/120. Solve -4*g - h = -5*k + 17, 4*k + g - 3 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2)\/(((-2484)\/108054)\/(8\/6))?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5*i + 31 = 0, 31*h = 64*h - 28*h + i + 27 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803620469 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -8 + 4 + -6 + -2. Let w be (-16 + 1)\/((g + 6)\/6). Suppose w = -o - 5*h, 3 = -o + h - 3*h. Solve 35 = o*y - 5*x, 2*x + 3*x + 10 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t - 10. Let i(n) = -n**2 - 7*n - 10. Let q be i(-4). Let m be c(q). Solve -k + 6*k - 5 = m for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42391116.41 rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11284 divided by 28.\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8054507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 185 = 217. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1830 in -0.5, 4, 2\/243?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -4*v**3 - 11*v**2 + 8*v - 1. Let y(d) = 7*d**3 + 22*d**2 - 15*d + 1. Let x(t) = 5*h(t) + 3*y(t). Let u be x(-8). Let z = 523 - u. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 0.0719.\nAnswer: 0.2157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71723 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24cd (base 15) to base 2.\nAnswer: 1111010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -3*t**6\/20 - 19*t**3\/6 - 16*t**2. What is the derivative of a(f) wrt f?\nAnswer: -54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6831695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 13*f**2 + 23 - 30*f**2 + f + f**3 + 18*f**2. Is u(0) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 30\/50*-5 + (-99)\/(-1)?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60534 (base 9) in base 10?\nAnswer: 39802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 139)*50\/(-30). Let d = -149 - x. What is the highest common factor of d and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033158915 rounded to seven dps?\nAnswer: 0.0003316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 7*i**2 + 3*i + 11. Calculate s(8).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -13\/905?\nAnswer: -13\/905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + 0 - 10\/(40\/(-12)). Suppose c = 5*c + r*j + 8, 2*c - 8 = 2*j. Let p be 20\/10 - (-4 + c). Solve p*u - 3*s = 27, -5*s = u - 0*u + 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 8\/33, 8, 1\/13, -0.07, 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -72319617*u**4 + 68954773?\nAnswer: -289278468*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*h - 1. Let w = h + 6. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59418.\nAnswer: 2, 3, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is d31d (base 14) in base 9?\nAnswer: 54688","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-195)*-5)\/((-3)\/90).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 2*o**3 + o**3)*((-10*o - 9*o + 11*o)*(2 - 2 + 2) + (0 + 4 - 1)*(o + 2*o - 6*o)) + (0*o**3 - o**3 + 2*o**3)*(4*o - 6*o + 3*o).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 14033, 56144, 126329, 224588, 350921, 505328?\n\"Answer: 14037*z**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12 = -7*m. Let c(l) = 2*l + 3. Let x be c(-6). Let p = 13 + x. Calculate the remainder when p is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from macsg. Give prob of sequence scm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162760861?\nAnswer: 162760861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 312.74 and -0.36.\nAnswer: -112.5864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 9424.4 to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189645512 to the nearest integer?\nAnswer: 575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 2645.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oxoo.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**3 - c - 9. Let g(x) = x**2 + 3*x - 15. Let w be g(-6). Is k(w) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let w(r) = 259*r**2 - 5*r - 111. What is t(w(k))?\nAnswer: -259*k**2 + 5*k + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -48*s. Let g be a(-1). Suppose 0*j + 4*j = g. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g*h**3 - g*h + 3*g + 85*h**3 + 27*h**2 wrt h.\nAnswer: 60*g + 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -264 - -264. Suppose -10*v - 13*v - 23 = d. Let x(t) = -8*t - 1. Calculate x(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 u when four letters picked without replacement from uvvuuv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-153 + 31 - -25) + 12 - (1 + 3 - 2).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nilonlth. What is prob of picking 1 h and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*o**4*z**3 + 4*o**4 - 1467*o**3*z**3 + o**2*z**3 + 764*o**2*z**2 + 3*o**2*z + 8*o**2 + o*z wrt o?\nAnswer: -120*o*z**3 + 96*o - 8802*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 769943071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (357 - 159) + -185 - (139 - 2 - 2) - 16.\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -54 (c) 31311\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400) + 2*(sqrt(400)*-1 - sqrt(400)) - sqrt(400) - sqrt(400))\/(-2*2*sqrt(8)*-5).\nAnswer: -5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4629116.\nAnswer: 1\/4629116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*a + 1079 - 6854. Calculate the common denominator of -26\/49 and ((-25)\/a)\/(2\/((-222)\/(-7))).\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 55*c**2 - 3*c - 3. Let w(o) = o**2 + o. Give s(d) + 2*w(d).\nAnswer: 57*d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 890\/96 + ((-35)\/(-5))\/(-7). Let s = 13\/16 + y. Find the common denominator of 99\/8 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 112 + -5 - 102 - (0 - 1 - 16)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/691 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 16551.\nAnswer: 2\/16551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/62 + -109\/310. Let f = -102.88 - -1.38. Let t = f - -102. Which is the closest to g? (a) -1 (b) -2\/5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 82236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 (base 11) in base 4?\nAnswer: 22123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + 5 + -24 + 6 - -3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = 5*t - 3*f, 0 = t - 2*t + f + 47. Let i(n) = n**2 - 11*n - 2. Let u be i(-5). Let b = u - t. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 175 + -171. Suppose -4*a = x*z, -5*a + 16 = -0*a + z. Solve 3*r = -3*h - 18, 0 = 2*r + a*h + 4 + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*1*((sqrt(1872) - (sqrt(1872)*-2 - sqrt(1872))) + sqrt(1872) + 4 + (sqrt(1872) + 2)*5))**2.\nAnswer: 33120*sqrt(13) + 1686916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**3 + 33*b**2 + 6*b - 15. Determine m(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(396) + sqrt(396) + 4 + sqrt(396))**2*5.\nAnswer: 720*sqrt(11) + 17900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 22111111101 (base 3) to base 5\nAnswer: 20323202","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 5*m + 120, 39 + 69 = 4*q + 2*m. Let h = q - -16. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2*u = 6*u - 131, 0 = -f - u + 26 for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -26*y**2 + 1142*y + 101. Calculate z(44).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -21558099?\nAnswer: 1\/7186033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17013060 and 1226700?\nAnswer: 8460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 23. Let m be (22\/r + -3)\/(2\/(-3)). Are m and 23 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1134\nAnswer: 1\/1134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 118 + 32. Solve 2*s - n = 4*i, -i - 4*i = 2*s + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328351?\nAnswer: 101, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 - -1 - -4 - (2 - (-6 + 5))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3179\/132 + 25 + (-14160)\/576.\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1121 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -590 + 590.0094. Let p = 0.0806 + k. Sort 2, p, -0.4, 3.\nAnswer: -0.4, p, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/80 and -63\/5728.\nAnswer: 28640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-30*(-792)\/51840)\/(3\/(-2)*(-1)\/6)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 65 - (-42 - -82) - 31.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**2 + 17*m**2 - 2*m**3 + 6*m**2 + 0*m**2.\nAnswer: -2*m**3 + 35*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 95, -2\/3, -6\/5, -1\/2 in increasing order.\nAnswer: -6\/5, -2\/3, -1\/2, 6, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1008 = 9*o - 37*o. Is o a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 21*p**2 - 103*p + 179. Give a(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 49 - -115 - 53?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v - 0, -3*n + 2*v = -5. Suppose 4*p - 2 = 6. Let w be 0 - (12\/33)\/(p\/1). Do n and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28229101?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 790946*o**3 - 775295 wrt o?\nAnswer: 2372838*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.56 rounded to the nearest integer?\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 6*v**2 + 6*v - 6. Suppose o + 4*c - 5 = 0, 0 = c + c. Let h be i(o). Let n(p) = 2*p**2 - p + 2. Let g(a) = a**3 - 1. What is h*n(t) - 2*g(t)?\nAnswer: -2*t**3 - 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224 = -6338*n + 6370*n. Put 2, -7\/11, n in decreasing order.\nAnswer: n, 2, -7\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 10:20 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 - 117*i + 3048. Let y be u(34). Calculate the highest common divisor of 10 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = l. Suppose -21*u = -18*u - 6. Sort -5, u, l in ascending order.\nAnswer: -5, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5415\/5 + (-3)\/6*6. Calculate the greatest common divisor of 30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/(z\/(z*z**10\/z)))**9\/((z**(1\/4))**(-15))**(-9\/7) assuming z is positive.\nAnswer: z**(3393\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4675*n**2 + 28052*n\/3 + 4\/3 = 0.\nAnswer: -2, -2\/14025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(456) - -1*(sqrt(456) - 2*sqrt(456))) + sqrt(456))\/(sqrt(192)*-4))\/(sqrt(128)*1*4*3).\nAnswer: -sqrt(19)\/1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:53 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/8*-2)\/(457\/(-914)). Solve k - 3*n = -18, -6*k + w*n = -4*k + 21 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 697871, 1395753, 2093635?\n\"Answer: 697882*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2773417.74343551 plus -0.5?\nAnswer: 2773417.24343551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2172 + 2173. Let b(y) = 1159*y + 4. Let g be b(-4). What is the common denominator of 7\/12 and g\/(-2592) + v + (-3)\/4?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.104432 times 5?\nAnswer: -0.52216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 10, 16, 24, 34?\n\"Answer: a**2 + a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3317605 is divided by 829394.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 909 and 853046?\nAnswer: 7677414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -30. Let g(p) be the second derivative of 13*p**3\/2 + p**2\/2 + 6*p. Let i be g(1). Calculate the greatest common divisor of w and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-2 - 3) + 15 - 20.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(156)*-2*1)\/(sqrt(1728) + sqrt(1728) + ((-1*sqrt(1728) + sqrt(1728))*2 - sqrt(1728))) + 2.\nAnswer: 2 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17613, 17605, 17591, 17571, 17545, 17513?\nAnswer: 17475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 53 - 48. Let j(q) = q**2 + q. Let a(x) = -2*x**2 - 7*x - 11. Let h(t) = -a(t) - 3*j(t). Let w be h(i). Solve -3*y + w*y = 4*s - 9, 2*s - 4 = 2*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x**2 + 1137*x + 490. Give c(-162).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/5)*y)\/y*y**(-1\/6))\/(y**(2\/7)\/y)**(-16)*((y**(-2)*y)**(-44))**42 assuming y is positive.\nAnswer: y**(385939\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34033583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -196953 divided by 65651.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 471 + 1117 + 692 + 2*m + 232 + 1020 to the form k*m + t and give t.\nAnswer: 3532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -99064 by 7076.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 974272.1t?\nAnswer: 974272100000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -10 - (23 - -4 - (78 - 48)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + ((sqrt(432) + -5 + (sqrt(432) - sqrt(432)*-1))*5 - -5*-4*(sqrt(432) + 0))))**2.\nAnswer: 53760*sqrt(3) + 185344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2, -3.1, -3.\nAnswer: -3.1, -3, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/6 + (-4)\/(-84). Which is the third smallest value? (a) -3 (b) 2\/9 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 0.065, 27, 5, 0.63, -0.5 in decreasing order.\nAnswer: 27, 13, 5, 0.63, 0.065, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-798)\/(-4)*(-9)\/(-162) and 55\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1371785 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:04 AM?\nAnswer: 8:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105662661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 4, 10\/3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 0 - 4 - -4. Let j(t) = t - 12. Let a be j(7). Let i(f) = f**2 - 5*f - 1. Let z be i(6). Put z, a, s in increasing order.\nAnswer: a, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5280740, -21123595, -47528354, -84495017, -132023584, -190114055, -258766430?\nAnswer: -337980709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1267? (a) 3 (b) -1\/6 (c) 170\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 1002015?\nAnswer: -2\/334005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5 = -3*w, 5*x - w = 20. Calculate the greatest common factor of 33 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 200354, 4 in decreasing order.\nAnswer: 200354, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tteeeeeeeeeee. What is prob of sequence tt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 2*k - 6. Let t be z(2). Suppose t*n - 309 - 837 = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 46148 (b) 1\/5 (c) -0.2 (d) 0.5 (e) -1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.3 - 28.5. Let o = j + -0.8. Let v = -4 - -4.5. What is the closest to o in -0.8, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 6*r - 13)*(2*r + 0*r - 3*r)*(-4*r - 4 + r + 3).\nAnswer: 18*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3434?\nAnswer: 2, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6011286 divided by 14111\nAnswer: 426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 6*k**2 - 4. Let l be t(6). Let s be ((-5)\/2)\/(2\/l). Find the third derivative of -3*w**5 + 0*w**5 + 5*w**2 + 7*w**s wrt w.\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10858744 divided by -5161?\nAnswer: -2104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1178779, 2357557, 3536335?\nAnswer: 4715113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - -19. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-23))**(-6\/19) assuming u is positive.\nAnswer: u**(138\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -360004452*b*n**3 - 210*b*n + 672*b - 2*n + 28 wrt n.\nAnswer: -2160026712*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2430\/29 or 46?\nAnswer: -2430\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 11:54 AM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -919855\/48 - -19161. Calculate the common denominator of k and 43\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c. Let h(s) = 304*s**2 - 36*s + 14. What is h(g(w))?\nAnswer: 4864*w**2 - 144*w + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/11 - 7\/55. Let o = -22 - -21.1. Let q = 1.1 - o. Sort q, -2\/13, j in decreasing order.\nAnswer: q, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6781965247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + 0.3. Let m = z + -0.9. Suppose 4*b - 2 = 6*b. What is the second smallest value in b, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1986596*g**2 + 1442514?\nAnswer: -3973192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -40*b**2 + 19*b**3 + 56*b**2 + 15*b**3 + (2*b + 3*b - 6*b)*(-3 - 3*b + 3)*(-2*b - 5*b + 4*b).\nAnswer: 25*b**3 + 16*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**5 + 25*a**4 - 6*a**3 - 216*a**2 + 378*a - 81.\nAnswer: -(a - 3)**3*(a + 3)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z - 97. Calculate the smallest common multiple of s(-37) and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 162 and 378?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 8*x**2 - 8*x - 2. Suppose -5*r - 4*f - f = 35, 3*r = -5*f - 21. Suppose -13 = -i + 1. What is the remainder when i is divided by y(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s + 4. Let f = -1 + -2. Let w(m) = 72*m + 3*m**2 - 4 - 69*m - 8*m**2. Let r(u) = 4*u**2 - 2*u + 3. Calculate f*w(q) + s*r(q).\nAnswer: -q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**3 - 6*p - 33. Let s be a(-8). Let w = -1519 - s. Suppose 0 + 9\/2*o**4 + 0*o - 6*o**w - 12*o**3 + 27\/2*o**5 = 0. What is o?\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222112012212 (base 3) to base 11\nAnswer: 327307","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64017 by 3.\nAnswer: -21339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(1 - 304\/312). Determine o, given that 180*o - 442 + l + 64*o**2 - 245 - 2706*o**3 + 2710*o**3 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-17)*f**(-9\/2)\/f*f)\/(f**(-1\/3)\/f*f**2) assuming f is positive.\nAnswer: f**(-133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -2\/1365*k**7 + 2\/195*k**5 - 1\/2184*k**8 + 0*k + 0 + 1\/260*k**6 + 27*k**2 + 0*k**3 - 1\/39*k**4. Factor u(d).\nAnswer: -2*d*(d - 1)**2*(d + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {r: 4, y: 5, h: 1, b: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(0 - (-5 + 6)). Suppose 5*o - 22 - 1 = -a, 3*a + s*o = 29. Factor -2\/3*b**2 + 0 + 2\/3*b**a + 0*b - 2\/3*b**5 + 2\/3*b**4.\nAnswer: -2*b**2*(b - 1)**2*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -66*j + 650 + 472. Solve 0 = 16*w - j*w - 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19153194*r**2 + 29220282*r**2 - 9051814*r**2.\nAnswer: 39321662*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, b: 1, j: 3, p: 3}. Give prob of picking 3 p.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y - 127*y + 61*y + 858040 = 0. Calculate the highest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13450 is divided by 1664.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381.\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*h**2*n**2 - 3702168*h**2*n - 3*h**2 - 842*n**2 + 542267*n wrt h.\nAnswer: 4*h*n**2 - 7404336*h*n - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m + 549. What are the prime factors of t(24)?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 - (-1 - 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.66 to zero dps.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.15 + 0.65. Suppose 0 = -3*m - 7 - 5. Which is the nearest to -8? (a) 0.5 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*i + 1605, -3981 = -2*i - 3*i + 3*j. Suppose 3*s - i = 9*p - 5*p, 0 = -5*p. What is the highest common factor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 8*x + 10 = 0. Suppose 2*n + 28 = -x*n. Let i = -0.38 + 0.08. What is the nearest to 1\/3 in i, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(56) + sqrt(224))\/sqrt(8).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140351 - 140344. Let v(z) be the second derivative of z**4\/8 - 4*z**3\/3 - z**2\/2 - z. Let t(p) be the first derivative of v(p). Calculate t(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n + 0*n - 35 = 0. Let r(q) = 3*q**2 - 16*q + 9. Let l be r(n). Let f be 341\/121 - l\/(-22). Solve -10 = -f*m - 3*x + 17, 0 = -5*m + 4*x + 9 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1846\/65)\/((-2)\/(-280)). Suppose -4*p = -2291 - 3009. Let f = d - p. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12164677*n + 12164677*n + 3 - 9 + 4*n**2.\nAnswer: 4*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4509743 + 4509743 + 23109*a.\nAnswer: 23109*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -201998, -201989, -201980, -201971, -201962, -201953?\n\"Answer: 9*k - 202007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*k + 96*k + 36 = 0. Put k, 1, -15, 14 in increasing order.\nAnswer: -15, 1, k, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 15. Let s(y) = 19*y + 9. Let a be s(0). Calculate the highest common divisor of a and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 284 is divided by 48?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*s = -b - 99, -s = -5*b + 439. Suppose -4*z - z - b = 3*r, 5*z + 5*r = -95. Let i be (-2 + -1)*10\/z. Let d(c) = -c**2 - c - 1. Calculate d(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 4*u**2 - 12*u. Let a be i(6). Let h be (3\/(-6)*-2 - -1) + a. What is the second derivative of 10 - 29*j**h - 4 - 6*j - 6 wrt j?\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 253213092?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 255169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 4, -20, 5.\nAnswer: -20, 1, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*m - 3*g, 2*m - 1 = -0*m - g. Suppose -2*v + q + 49 = 0, q + 0 + 1 = m. Suppose h - 4*h + v = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*c = -155, 0*j + 5*j + 2*c + 215 = 0. Let x be (-28)\/j - 4\/18. Which is bigger: -21 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 7 = 2*u. Calculate the highest common factor of 77 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(128) + 5 + sqrt(128))**2 + 5)*-5.\nAnswer: -2720 - 800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 11*w**2 + 17*w - 11. Let f be i(11). Suppose 5*x = j - 2*j + 48, f = 4*j + 4*x. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 - 9*c**3 + 2*c - 2 + 2*c**2 + 1. Let r(u) = u**3 - 8*u**2 + 21*u - 22. Let v be r(4). What is the remainder when x(v) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 5*w - 6, -2 = w - 5*h + h. Suppose w*d - 11 = -9*d. Does 17 divide 6*(-7)\/(-42)*(35 - d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -122?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 40*h - 3. Let d(v) = -53*v + 4. Let i(b) = -3*d(b) - 4*o(b). Suppose 5*y = 7*y - 20. Let s(x) = 2*x**2 + y*x - x - 9*x. Calculate i(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 11*w + 5*w + 390 + w.\nAnswer: -2*w + 390","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2135289?\nAnswer: 3, 13, 54751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46256.61 days to hours.\nAnswer: 1110158.64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 9:24 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 304.14 and 2962.\nAnswer: 900862.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 take away 0.16330481628019?\nAnswer: -0.19330481628019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 - (-1 - 2)). Do -4\/9 and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5997653l in millilitres?\nAnswer: 599.7653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*s - s**2 + 3 + 16*s - 32*s.\nAnswer: -s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(11\/4 + -2). Solve -5*a = q*u + 10, 4*u - 21 = -1 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*184151397\nAnswer: 55245419.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 34 - 436*y**2 + 439*y**2 + (-y**2 + 5*y**2 - 3*y**2)*(0 - 3 + 1) in the form u + s*y**2 + w*y and give u.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1658033747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 98460069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 4*i + 2*m + 5 = 0, 0 = 24*m - 27*m - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 8*s**2 + 14*s - 8. What are the prime factors of i(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 + 0)*(-9 - 11 - 10)*(-5*o + 4*o - 4*o) + 0 + 0 + o + (-4 + 2 + 1)*(5*o - 4*o + o) - 2 - o + 2 + 3*o - o - o.\nAnswer: -901*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8 - 13 = 0. Which is the nearest to 0.2? (a) -0.4 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 738279 to the nearest integer?\nAnswer: 859","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000601214 to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -274, -4, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408622?\nAnswer: 2, 204311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1093 + -0.5907. Which is the third biggest value? (a) -0.3 (b) x (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 145 and 141.055?\nAnswer: 3.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 46*w. Let c = -4 - 8. Let i(k) = 2*k + 26. Let f be i(c). Let p(u) = 86*u + f*u**2 - 86*u. Determine o(p(v)).\nAnswer: 92*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40271.84 + 38697. Let i = x - -1601. Let z = i - 27. What is z rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9\/(j**(-5)\/j))\/(j**(1\/7)*j*j\/(j\/(j**(1\/6)*j))) assuming j is positive.\nAnswer: j**(533\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d*k*l**3*z + 2*d*k*l**2*z + 9*d*k*l*z - 368*d*l**3*z + 4*d*l**2*z + k*z - 1280*l**3*z + l**2*z + 1126*l**2 wrt l.\nAnswer: 6*d*k*z - 2208*d*z - 7680*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1292, -0.3, -14, -18, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 387236240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2 + 0 = 0. What is the closest to d in 2, 5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7226 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2272*c*l**3 - 419*c + 47518*l**3 - 25*l**2 wrt c?\nAnswer: 2272*l**3 - 419","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let h(q) = 41 + 36 - 79 - q. Determine h(m(s)).\nAnswer: -s - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -25, -37.\nAnswer: -37, -25, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 12*z - 5835. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24 and -0.0429.\nAnswer: 1.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2289*d**3 - 1651*d**2 + 789*d**3 + 1667*d**2.\nAnswer: 3078*d**3 + 16*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 2*y**2 - 5*y**2 + 3*y + 6*y**2 - 6 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**(6\/5)))\/i)\/(i\/i**2))**20)**(-5\/4) assuming i is positive.\nAnswer: i**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 6)*(18 + 7 - 3)*(7*s - 2*s - 12*s)*(2 + 1 - 5).\nAnswer: 308*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(180)\/sqrt(48))\/(sqrt(33)\/sqrt(99)*-1).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40827847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 2*v - 38, 0 = -y. Let p = v - 10. Let a be 2\/p - 225\/(-81). Which is smaller: 2 or a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/349315 and 75\/608.\nAnswer: 11178080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75460 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24119 is divided by 23843.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-2*sqrt(84) + sqrt(84)) + 5*-1*sqrt(84))\/(1*sqrt(192) + (sqrt(1728) - sqrt(1728)*2)).\nAnswer: sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23195, -46809, -70423?\nAnswer: -94037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 562535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-19 - -1) + (18 + -8 - 28) + 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21 - 2. Suppose -n = -2*h + z - 2, 0 = 4*n + 4. Calculate the greatest common factor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113233 + 10?\nAnswer: -113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97850.28 nanograms to kilograms.\nAnswer: 0.00000009785028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 561395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 i when two letters picked without replacement from {a: 2, h: 5, x: 1, s: 9, i: 1}.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*t**2 + t**3 - 2 + 3 - 3 to the form g*t + u + j*t**3 + p*t**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-2)\/(-34) + (-2)\/(-17)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 495, 504, 525, 564, 627, 720, 849, 1020?\n\"Answer: j**3 + 2*j + 492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 6*f**2 - 7*f - 2. Let q be t(-5). Suppose -j + 7 = -y + 2, -2*y - 2 = 0. Solve -q = -j*a - 5*b, -3*a + 3*b + 2*b = -6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (5*(-3 + sqrt(2448)) + 2)*6)*-4)**2.\nAnswer: -910080*sqrt(17) + 35351056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Solve -6*q**h + 8*q**2 + 2*q**3 + 4*q**3 + 4*q**3 - 4*q - 8 = 0 for q.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -6*z. Suppose 8 = 2*p - z*p. Let x be p\/((-4)\/(-1)) - -17. Calculate the highest common factor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-7) + 2\/(-7). Suppose 4*d + 128 = -5*m + m, 4*m + 140 = n*d. Round m to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/5741 - -2055253\/28705. Let z = -72 + o. Let h be (2 - 22\/10)*1. Put -1\/3, z, h in descending order.\nAnswer: h, -1\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 201 is divided by 58?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 15) in base 5?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 5611?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -252 (base 6) to base 13\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -78863 divided by -3\nAnswer: 78863\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2039, 0, 5, 4, -1 in descending order.\nAnswer: 5, 4, 0, -1, -2039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*v + 45*v + 40*v to d + m*v and give m.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*m**3 + 2*m**3 + 3*m**3)*(-m - 6*m - 2*m) + (-2*m**3 + 3*m**3 - 5*m**3)*(-1 + 1 - 10*m) to v*m**3 + l*m**2 + i*m**4 + z + j*m and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = 3*i + 12. Let g(w) = w**2 + 3*w + 5. Let p(y) = -4*y**2 - 10*y - 16. Give i*p(d) + 10*g(d).\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 849 = 2*c + 3*b, -2*c - 870 = -4*b. Let f = c + 958. List the prime factors of f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-56)\/(-1216) + (-2)\/16. Let k = j - -47\/114. What is the nearest to 2\/7 in 4, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 1867*v**5\/5 + 2*v**3\/3 + 514*v + 686. What is the third derivative of y(k) wrt k?\nAnswer: 44808*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(sqrt(363) - (sqrt(363) + 2 - sqrt(363))**2) + -4) + 5.\nAnswer: -330*sqrt(3) + 101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 5*q + 2. Let d(z) = -14*z - 7. Let f(o) = 17*a(o) + 6*d(o). Let w be f(8). Let r(g) = -g + 15. Let v be r(w). Solve -c - 2*c = v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395707107.\nAnswer: 3, 367, 359407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15067\/110 - -1554\/11. Calculate the common denominator of h and -1\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -532 + 791. Let b = q + -160. Let h be (-4)\/(-2)*(-9)\/(-2). Calculate the greatest common factor of h and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 9:40 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7872032, -15744070, -23616108, -31488146, -39360184, -47232222?\nAnswer: -55104260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 583 - -7668. List the prime factors of j.\nAnswer: 37, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114*k**2 - 2*k - 122 wrt k.\nAnswer: -228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2027, -4213, -6399?\nAnswer: -8585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1504039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1385492329?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 219809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -6. Solve x - 2*m - 1 = 0, -m - f = 5*x + 3*m for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -820.05 rounded to the nearest 10?\nAnswer: -820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42219142 a multiple of 2194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + (-8)\/(-4) - 1. What is the derivative of 0 + 4 + 4*p**2 + p**t - 2 wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u - 6. Let s(l) = 8*l + 7. Let y(g) = 5*r(g) + 6*s(g). Calculate y(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30862?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -114, 1 in decreasing order.\nAnswer: 27, 1, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.148 - 0.642. Let a = -0.5 + -0.1. Let m = a - h. Round m to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47783.848 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4*l - 4 = 0, -2*l = 3*s + 8 - 2. Let n be (1 - 5)*2\/s. Let q be (-3)\/(-6) - (-11)\/n. Solve 2*a - 8 = q*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82, 72, 62, 52, 42, 32?\n\"Answer: -10*o + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 4*x + 32, -4*r - 5*x - 2 - 2 = 0. Suppose 5*o = -3*f + 15, -o - r*o + 2*f + 15 = 0. Solve 6*d - 3*d + 3*p = 12, -o*d = 5*p - 20 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 925 and 925.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*z**5 + 149*z**3 - 631*z wrt z?\nAnswer: 80*z**3 + 894*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 12:30 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1210 = -5408*o + 5353*o for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 232 + 107 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(704) + 2)**2 + 2)*3.\nAnswer: 144*sqrt(11) + 2145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*x = 1, -4*x - 2 = -5*j + 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 0.2 (b) -3\/19 (c) 2\/1375 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 85103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(2116\/(-10620) + 4\/20). Is c less than -2654?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -371, -2, 95, -4, 2 in increasing order.\nAnswer: -371, -8, -4, -2, 2, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*b + 15, 14*b + 4*s - 32 = 9*b. Suppose -4*c = -f + 4 + 3, b*f = -2*c + 10. Factor 1\/5*y**4 + 0*y + 9\/5*y**2 + 0 - 6\/5*y**f.\nAnswer: y**2*(y - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -215 + 391. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2*j**2 - 1\/3*j**3 + 2 - 2*j. Let d be w(2). Solve -d*m - 9 = -1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 36*p**2 + 323*p + 16. Let u be f(-9). Solve k = 3 + 2, u = 5*t + 3*k for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 7*y**2 - 11*y - 7. Let x be h(-5). List the prime factors of 24\/(-7 + 1) + (-626)\/x.\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8075161 rounded to 3 decimal places?\nAnswer: -2.808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 14) in base 8?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-44) - (2 + (-5)\/2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**4\/12 - 19*g**3\/6 + 3*g**2 + 5*g. Let f = -140 + 125. What is the tens digit of h(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3608 less than or equal to 3610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729 - 562 + 3*r - 1707.\nAnswer: 3*r - 2998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 3*v - 63. Let y be t(26). What is the highest common factor of 20 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 174579516.1 from -40045.\nAnswer: -174619561.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -5. Let o be 7\/(28\/40) + 4. Let g be (-5 + o\/3)*-9. Sort -6, b, g in decreasing order.\nAnswer: g, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5\/3 + 22\/15. Which is the nearest to -4? (a) 5 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 13\/(-260)*15 - (-73)\/4.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 119.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 16*x**3 - 2*x**2 + 1. Let s be z(1). Let q be (-2)\/((-4)\/s)*2. Solve -b - 4*b = q for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -417 in -2, 759, 4, 2\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*b*d**3 + 99*b + d**3 - 2*d**2 wrt d.\nAnswer: 438*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 190823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.21 and 1308.\nAnswer: 1308.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 25, 2*a + g - 114 = -3*g. Suppose 0 = 14*x + a - 277. Suppose 0 = -x*m + 20*m - 545. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 3. Let o be u(1). List the prime factors of (-1)\/2 + 226\/o.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*c - 4*k, -2*k + 1 = 3*c + 3*k. Suppose -2*h = -10 + c. Calculate the remainder when 22 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2*y + 184, y - 4*b - 112 = -0*y. Let n = 209 + -92. Let m = n - -123. Calculate the greatest common factor of y and m.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bb38523 + -2?\nAnswer: bb38521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/20)\/(132\/(-264))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 628 - 629. Let t(h) = -2*h + 1. Let a(v) = v + 1. Calculate m*a(n) - t(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 3 = 4*c. Sort -4, c, 0, 3 in decreasing order.\nAnswer: c, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12465)\/(-405) + (-34)\/90 + 48\/80?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2356603 and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 35 = 5*c. Sort -2, 28, c.\nAnswer: c, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**4 + 0*t**4 + 2*t**4 + (-2 + 3 - 3)*(2 - 2 - t)*(-18*t + 3 - t**3 + 17*t**2 + 10*t + 4*t) as v*t**2 + q*t + d*t**3 + k*t**4 + u and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 27141a2 + -5?\nAnswer: 2714199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2))\/(o*o*o\/(o*o**(2\/11)\/o))*(o**(-2)\/o)\/(o\/(o**(2\/15)*o)*o))**(4\/21) assuming o is positive.\nAnswer: o**(-5072\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 67, 3, 2, -5, 5, 9.\nAnswer: -5, 2, 3, 5, 9, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 + 9*y - 6. List the prime factors of a(3).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1 - 12 - 2 - 2 - 5*r.\nAnswer: -5*r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -15*u. Let x be -2*(-1)\/(-2)*-13. Let q(i) = -x*i + 3*i + 12*i. Determine q(o(j)).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 23. Let p be -2 + 6 - 2*y\/(-1). Let q = -26.2 - -26. Which is the closest to q? (a) -2\/19 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f and 1 q when four letters picked without replacement from ffffffqfffqqqf.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 304 and 5920336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46993 + -46679.97. Let c = 310 - u. Let h = 0.03 + c. Sort -0.3, 2\/3, h.\nAnswer: h, -0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 5*m - 2*m + 23 = 0, -2*r - 4*m = -4. Suppose -52*l + 53*l = r. What is the hundreds digit of (38\/l + -2)\/(9\/120)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 41241 + 23352. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 20. Suppose -50 = -a*u + 2*u. Suppose v - 8 = u. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pjbb when four letters picked without replacement from {j: 5, b: 2, p: 1, t: 1, y: 1}.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 28. What is a(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2466968876?\nAnswer: 2, 383, 1610293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - 1 - -4) + (-5 - -1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.1. Let c = l + 0.1. Let s = c - -0.8. Which is smaller: -2\/5 or s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -10*u**2. Let q(s) = -5*s - 6. Let a(f) = -15*f - 17. Let x(g) = 6*a(g) - 17*q(g). What is o(x(n))?\nAnswer: -250*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqr when three letters picked without replacement from {m: 1, q: 1, r: 3, c: 5, w: 1, e: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z**2\/4 - 89*z\/2 - 90 = 0. Calculate z.\nAnswer: -2, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 9*j - 5. Let q be o(-1). Solve -q = -4*c + 13 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p. Let c(a) be the third derivative of -a**8\/630 - a**5\/30 + 7*a**4\/24 - 20*a**2 - 2. Let g(f) be the third derivative of c(f). Determine g(o(m)).\nAnswer: -512*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 9*q - 123. Let x be t(13). Which is the biggest value? (a) -4 (b) -1.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.3 (b) 95 (c) 0.8 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 282 and 87214.\nAnswer: 12297174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 + -2 + 5\/50*65. Factor 0*s - n*s**3 + 0 + 1\/2*s**2.\nAnswer: -s**2*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3b + -747982?\nAnswer: -747943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esm when three letters picked without replacement from xescsmeseeee?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {e: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/95232 and -13\/67257600?\nAnswer: 269030400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20297891 divided by 5.\nAnswer: -20297891\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -10, -6283, 5 in descending order.\nAnswer: 5, 1, -1, -10, -6283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 - -39. What is the smallest common multiple of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -4*n**2 - 56616*n + 9682348 = 0.\nAnswer: -14323, 169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 4*q + 5*l - 37 = 0, -3*q + 4*l = 32. Is 19 a factor of (19\/14*q)\/((-1)\/7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of -121*y**6\/180 + 11*y**5\/15 - y**4\/3 - 5*y**3\/3 + 2. Let r(k) be the third derivative of b(k). What is u in r(u) = 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.39638 * 0.1.\nAnswer: 1.639638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 at most -249.50914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -24*v + 6. Give h(-5).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7887.7 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -259*a - 99*a + 5016534. What are the prime factors of a?\nAnswer: 37, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*l - 12683, 4*m - 17096 = 2*l - 142. What are the prime factors of m?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 4)*((1 + 0 + 1)*(3 - 2 - 3) - 2 + 4 - 1 + 5 - 4 + 1)*(-8*d**4 - 46*d**4 + 9*d**4).\nAnswer: 90*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 297204.\nAnswer: 2, 3, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - b**2 + 2*b. Let u(s) = -s - 5. Let y be u(-7). Let o be q(y). Sort 0.3, 1\/3, o in descending order.\nAnswer: 1\/3, 0.3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 3*h + 7 = -7*c, 0 = 4*c + 3*h - 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {n: 1, t: 2, y: 3, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, -5, -22.\nAnswer: -22, -6, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 1 = 4*p. Suppose 4*g + 27 = s, 6 = 3*s - p*g + 5*g. What is the least common multiple of s and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*u**3 + 1243 + 49*u**2 - 1243 - 49*u**2.\nAnswer: -34*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 853314, 3413505, 7680568, 13654503, 21335310?\nAnswer: 30722989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1473864 divided by -736932.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -171 + 174. Suppose 5*k - 2*k - 18 = -o*a, -2*a + k + 9 = 0. Solve -x - 8 = -5*t + 5, -15 = -a*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66602 divided by -536?\nAnswer: 33301\/268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 497.7803 days to hours.\nAnswer: 11946.7272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 3392.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**2 - 7*u + 1. Let w be j(-10). Suppose -w = -4*p + 115. What is the greatest common factor of p and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -157.8154 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7061 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -11*h. Let i(j) = -27*j**2 - 9*j. Give a(i(n)).\nAnswer: 297*n**2 + 99*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 949 is divided by 213.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*l - l = -24, -3*l - 33 = 2*g. What are the prime factors of -81*(56\/g)\/7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23557, 47137, 70717?\nAnswer: 94297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 10.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 12*h**2 + 27*h + 3. Calculate j(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 903 = p - 921, -2*p + 4*k + 12 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20 - 3314?\nAnswer: -3334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -5*s**3 + 30*s**2 + 15*s - 10. Let x(g) = g**2 - g - 1. Let d(j) = -a(j) + 10*x(j). Let d(m) = 0. What is m?\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -204.99999903 - -205. Round v to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 483*w**2. Let r(j) = 3*j. What is x(r(g))?\nAnswer: 4347*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -17*g - 356. Determine q(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4554805 divided by 1\nAnswer: 4554805","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2870638 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00411 to four decimal places.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 801 is divided by 90?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 11. Let k be c + 5 - 486\/130. Let a = k + -6\/13. Do a and -5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142855, 142852, 142849, 142846, 142843, 142840?\nAnswer: 142837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from skjjztukstsss.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 1. Let s be o(0). Suppose 318*j + 86 = -13*j - 5872. Is j smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 231*q**2. Let x(k) = k**2. What is m(x(t))?\nAnswer: 231*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-29)\/m**(-1\/3)*(m**(-24\/7)*m)\/m**(2\/43) assuming m is positive.\nAnswer: m**(-28121\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*y - 9 - 1, -4*y - 3*m = 20 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 123*v + 396. Let a be y(13). Let z = 3317 - a. List the prime factors of z.\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z - 1. Let x be s(-4). What is the second derivative of 3*y + 3*y + y**3 - y**x - 5*y**5 wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8283)\/1506)\/((-22)\/(-28)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/11, 3, -196?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -222120012 (base 3) to base 11\nAnswer: -13604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 divided by -78?\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a**2*s**2 + a**2*s + 206*a**2 wrt s.\nAnswer: 14*a**2*s + a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6394, -6389, -6382, -6373?\nAnswer: -6362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -276 + 2?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(102)\/sqrt(6)*-3)**2)*-1.\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256331461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 126 = -4*i, -5*w + 3*w - 4*i + 126 = 0. Suppose -w + 6 = -3*h. Calculate the remainder when 55 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10667354 and 12857?\nAnswer: 989","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-16)\/(-216))\/(1\/(-9 - (-3 + -3))). What is the closest to -3\/4 in -35\/3, 5, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 6 - 14. Let u = 51519\/64390 + -7\/64390. Which is the third smallest value? (a) u (b) d (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/2*(-13)\/(-39). Suppose x*j = 9*j + 48. What is the remainder when 21 is divided by 45\/(-10)*j\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -dd22 (base 16) in base 10?\nAnswer: -56610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -133 + 132.814. Let m = z + -0.114. What is the fourth smallest value in m, 0.5, -5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -8. What is the remainder when 23 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2842 and 26546049.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 3*a. Let m be (2 - a) + 84\/(-39). Let b(d) = d**3 + d**2 - d + 1. Let v be b(0). Is v smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(192)\/(sqrt(12) - (sqrt(108) - (sqrt(108)*1 + sqrt(108)))\/sqrt(9)))\/(1*sqrt(128)*1).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -89.707482 to 2 decimal places.\nAnswer: -89.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iizvdpdxidvdzppz. Give prob of sequence ivzd.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 32*b - 240. Let s be o(10). Solve 0 = -3*m + s - 74 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1875?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 96?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4579\/10 + -456. Find the common denominator of -43\/22 and t.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6.93? (a) 5 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and -201.\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**2 + 1156*r - 1160 = 0.\nAnswer: -290, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -25. What is n rounded to 2 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5 + 30. Let j = 23 + -3. Let h = q - j. Solve -2*d - 3*d + h = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111987089 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h, 0 = x + 3*h - 6*h + 10. Solve -3*v = 5*n - 25, x*n + 3*v - 1 = 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -17*h + 3. Determine p(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((6*(-1 + sqrt(99)))**2*-5 + 4)*-2.\nAnswer: -8640*sqrt(11) + 143968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -187, -554109 in ascending order.\nAnswer: -554109, -187, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 283 + -201. Let p = 77 - o. Put 0, p, 5, 13 in increasing order.\nAnswer: p, 0, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -61 - -95. Let d = g + -4. Suppose -5*p = -d - 445. What are the prime factors of p?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 114*s**3 + 3*s - 210*s**3 + s**4 + 227*s**3 to c*s**3 + m + k*s**4 + i*s + g*s**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 204*x - 6208 = -186*x for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -32, -96 in ascending order.\nAnswer: -96, -32, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31699?\nAnswer: 31699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, -61, -142, -219, -292?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + 2 - 2 + (k**2 + 2*k**2 - 2*k**2)*(-3*k + 2*k + 0*k) - k**3 + 0*k**3 + 0*k**3 + 0*k**3 + 2*k**3 - k**3)*(195 - 195 - 58*k).\nAnswer: 116*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -590472171 and 0.11?\nAnswer: 590472171.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6553, -11760, -16967, -22174, -27381?\nAnswer: -32588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 1693*d**3 + 14*d**2 - 7*d - 7. Let b(o) = 565*o**3 + 4*o**2 - 2*o - 2. Give 7*b(j) - 2*g(j).\nAnswer: 569*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - 93d14c?\nAnswer: -93d14c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-46)\/(-8) + (-54)\/(-216). Let a be -2 + 5\/5 + 4. Let x be ((-27)\/n)\/a*-2. Solve -3*o + 0*o = -x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6501*o**2. Let q(g) = -4*g + 1. What is q(s(w))?\nAnswer: -26004*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + (-66)\/(-15). Let b(a) = -3*a - g + a**3 - 2*a**3 - 2*a + 6*a**2 + 2*a. What are the prime factors of b(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 196, 194, 192, 190, 188?\n\"Answer: -2*k + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171483 is divided by 893.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -210 in -3, 3, -2, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500 divided by 3.\nAnswer: 500\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14704*a - 9127*a + 245388 = 0 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*j + 20402 = 0, -2*j - 8430 = -3*m + 22157. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5546490 times 0.4?\nAnswer: -2218596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14202.\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 167 - 71. What is the hundreds digit of (-1)\/(-8) + (31545\/h)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27448, -219629, -741306, -1757239, -3432188, -5930913, -9418174?\nAnswer: -14058731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2860807769 to the power of 1\/2, to the nearest integer?\nAnswer: 53487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 11*q + 9. Let s be h(12). Let o be (0\/(-4 - s))\/1. Suppose o = 2*p - 8, 3*p + 45 = 5*v - 2*p. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5974 divided by 29\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005048043 rounded to five dps?\nAnswer: 0.00505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6*(1 - 3))\/(-1). List the prime factors of d\/(-9)*(-9)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.024? (a) -4 (b) -1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255682 is divided by 858.\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 50\/(-15)*-513 - 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a kilogram in grams?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 3 + 96 - 3. Let d = u - 38. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 1320925?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*y - 8*y + k - 521, 4*y - 2084 = -2*k. List the prime factors of y.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25 - 66?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2949 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1659 (b) 0.2 (c) -4 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/7)\/((-3 - -4)*-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**4 - 8*x**3 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1971094606?\nAnswer: 1971094605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 701047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*s, 0 = -3*x + 2*x - 3*s + 8. Let l = x - 0. Suppose -l*k - 4 = -12. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 635 - 452. Let k = h - 186.38. What is k rounded to zero decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63207 is divided by 465.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 7*i + 13, 0 = -2*q - i + 692688 - 692697 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57\/190)\/(((-3)\/2)\/(-3)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142466*b**3 + 1142453*b**3 - 2284925*b**3.\nAnswer: -6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43531 and 1616?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 46, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28807202?\nAnswer: 2, 1559, 9239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 329 + -374. Let s = -99 + 55. Is r at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32184 - 3822.\nAnswer: -36006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*k + 3346*k**2 - 75*k - 6854*k**2 + 3500*k**2.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, s: 2, t: 1, g: 2}. What is prob of sequence gmg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1942 - -5849. What is the hundreds digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2e5 (base 15) to base 2\nAnswer: 1010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/65237 and -27\/979.\nAnswer: 717607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 71570 and 170?\nAnswer: 71570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001091 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -43\/103745 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, q: 3}. Give prob of sequence bbb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2145\/15)\/(-11) - (-191 - -230)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-46 - (4 + -2)) + 1*-1. Let g = x - -53. Which is smaller: -2\/11 or g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (124*(-2)\/40 + (114\/(-30) - -2))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 391, 788, 1191, 1606, 2039, 2496?\n\"Answer: h**3 - 3*h**2 + 399*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001100 + 11101?\nAnswer: -10101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.78 + 2.22. Which is greater: 1643 or b?\nAnswer: 1643","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.1 - 4. Suppose 14*h + 38 + 18 = 0. What is the closest to y in -0.08, 4, h?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {k: 2, i: 3, j: 2, h: 2, a: 4, l: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13341 + 27698. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + b**2 - b - 8. What is t(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-c - 2*c + c**2 - 3*c**2).\nAnswer: -2*c**2 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of c**7\/21 - 2*c**6\/15 + c**4\/3 - c**3\/3 + 2*c. What is d in z(d) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 6*t + 9. Let m(u) = -u**3 + 6*u**2 - 18*u + 42. Let l be m(4). Let s(g) = -g + 1. Calculate l*f(r) - 18*s(r).\nAnswer: -2*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**5 + 738*k**4 - 79376*k**3 + 2868144*k**2 - 16851872*k + 14062368 = 0. What is k?\nAnswer: 1, 6, 74, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5845\/835*(1 - -1 - 4)\/63?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + (6*(0 + sqrt(448)) - sqrt(448)))**2*6.\nAnswer: 96768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (78\/(-45) + 1)\/((-126)\/(-27)) and -31\/5?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.7 + 5.2. Let p = 111 - 107. Sort p, f, 1\/5, 0.\nAnswer: f, 0, 1\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*1*sqrt(360))\/(-3*-1*sqrt(8) - sqrt(8)))\/((sqrt(81)*1)\/sqrt(9) + 1*sqrt(144)).\nAnswer: -2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 186.9047607 to two decimal places.\nAnswer: 186.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 51 = -50*j + 234 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6502.\nAnswer: 2, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/3)\/((-10)\/(-165)). Suppose -t = -6*n + 4*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 853 - 299. Let z be 527*2*v - -1. Let p = z - -396083. Round p to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/5)\/(2\/(-110)). Let j = k + 12. Let a be ((-1)\/j)\/(6\/12). Is a at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -6*k. Suppose -4*l - 8*s + 90 = -5*s, l - s - 19 = k. Let n = l + -4. Solve m = 3*w - 4 - 12, 4*w - n = -3*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - -4)\/((-6)\/7743). Let u = -1694 - z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32 + 47. Suppose a - 2*v - 13 = 0, a = -0*v + 5*v + 10. What is the highest common divisor of p and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 2:29 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -686\/3*v**4 - 882*v**3 - 16 - 520\/3*v - 644*v**2 = 0. Calculate v.\nAnswer: -3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 - 300636*u - 601260.\nAnswer: -3*(u + 2)*(u + 100210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90727 is divided by 29522.\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*k = 500 - 299 - 635 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i - 11. Let p be o(-14). Which is the smallest value? (a) 0.3 (b) 0.02 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fhhu when four letters picked without replacement from hhfhhphhhuphfuhup.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 9 = -5*x, -2 = -5*u + 5*x - 17. Let f = 0.3 + -0.2. Let h = 2\/55 + 49\/165. Which is the nearest to h? (a) f (b) -2\/11 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -731 divided by 1\nAnswer: -731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*l + l + 1)*(-l - 11*l - 4*l - 2*l + 2*l - 3*l + (-l + l + 2*l)*(2 + 1 - 1) + 0*l - l + 3*l - l - 2*l + 5*l).\nAnswer: -55*l**2 - 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4423.5 times 2\nAnswer: -8847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 42.03155 centimeters?\nAnswer: 0.0004203155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 26*c = -29*c + 5, -2*c + 14 = 2*t. Suppose 0*l = -t*l, -l + 12 = 4*u. Solve -u*m = 2*s + 1, 2*m + 13 = -5*s + 5 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -26*r**3 + 2*r**4 + 31*r**3 + 29*r**3 + (r + r + 0*r)*(0*r**3 - r**3 + 3*r**3) + 3*r**2 + r**4 - 3*r**2.\nAnswer: 7*r**4 + 34*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1864911099 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jrdybtjbt. What is prob of picking 1 d and 1 y?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 20*n**2 + 10*n + 22. Let p(d) = 8*d**2 + 4*d + 9. What is -5*h(y) + 12*p(y)?\nAnswer: -4*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 + 9*q + 18. Let j be p(-7). Which is smaller: j or 6?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -0.05 (c) -37 (d) -0.5 (e) 3 (f) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*a**2 + 34788 - 34788.\nAnswer: -201*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (8 - 3 - (41 + 8 + -21))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9778 + -2.92. What is v rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38360 divided by -5?\nAnswer: -7672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 162, 6, -1\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 4*f)*(4*f - f**2 - 4*f) + 2*f**3 + 0*f**2 - 2*f**2 + 12*f**2 + 4*f**3 - f**3 + 2*f**3.\nAnswer: 9*f**3 + 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 123\/4 (b) -4\/7 (c) -2 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*l - 96*l - 138*l.\nAnswer: -314*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 14 = -5*a + 6*a, a + 8 = -2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.8 - -291972.\nAnswer: 291965.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 215826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (sqrt(704) + 1 - sqrt(704)))*-5 + 2 - (-3 + sqrt(176) + sqrt(176) + 0 + -6*(-1 + sqrt(275))))**2.\nAnswer: -1364*sqrt(11) + 6285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -q**4\/2 + 5*q**2. Give r(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + sqrt(33)\/sqrt(11) + 2)*-1.\nAnswer: -sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -9. Let h = -11 - z. Let v = -192 - -1343\/7. Which is the closest to h? (a) 5 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 5*n - 797, 2*h + 5*n = 194 + 329. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37 - (73 + -41 + 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1664900 is divided by 832349.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1304758 and 4690.\nAnswer: 6523790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 315508554256786 and 4?\nAnswer: 315508554256782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*f**2\/5 - 1346*f\/5 - 168\/5.\nAnswer: -2*(f + 84)*(8*f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.519517 hours to nanoseconds.\nAnswer: 34270261200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w - 2. Let r(l) = -l**2 - l - 1. Let p be 4 + (-175)\/(-21)*87. Suppose p*n - 6 = 735*n. Calculate n*r(j) + q(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 + 833*q + 12084*q + 2494*q.\nAnswer: -q**2 + 15411*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 16 = -10*o. What is the third smallest value in 1\/8, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*k + 14. Let y(b) = -4*b. Let x be y(-1). Suppose 5*u - 150 = -x*g, -3*u - 2*g + 90 = -0*g. What is the remainder when u is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*t - 23 + 32 - 6*t + 10*t to the form k + v*t and give k.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m - 32 = 6*m. Suppose 3*v - 2 = 2*n, 0*n + 5 = n. Suppose -v = q - 50. Calculate the remainder when q is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 40 = -p, -x = 2*p - 3*x - 88. Suppose 11*u + 3 = 8*u, 3*i + 3*u - 6 = 0. What is the remainder when p\/(-2)*3\/(-6) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(1\/14)*m)\/m**14*m**(2\/43)*m\/m**21 assuming m is positive.\nAnswer: m**(-19193\/602)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 13 + 0 + 1 + 3 - 73*x. Let h be m(-21). Round h to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/16 + 682\/176. Let t(d) = d**2 - 4*d + 10. Let s be t(i). Solve 5*j + 5*x - x - 13 = 0, -4*j - 3*x = -s for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.2 (c) -28\/39 (d) 0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50689178 a multiple of 1111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*240\/912.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 + -5.08. Let c = -17858.7 - -17861.7. What is the smallest value in 1\/5, c, x, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1197)\/588 + (-7)\/(-4). Let j = -0.06 + -3.94. Which is the nearest to -1? (a) -3\/5 (b) u (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 285.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5362 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: Convert 234e64 (base 16) to base 6.\nAnswer: 121332100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(3\/25))\/w**8*w\/(w*w*w**18)*w*w*w**(-3)*w*w*w)**9 assuming w is positive.\nAnswer: w**(-5373\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 69 = -3*r, -r - 2*d = -2*r + 34. Let v be (r\/(-20) - -1)*5. What is the closest to -2\/11 in -0.4, 2, v?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((6\/42)\/((-20)\/210))\/((-11)\/((-88)\/(-6)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from yweooyeyesyeyosyee?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 753 - -947. Suppose -16*d + 1564 = -z. List the prime factors of d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 5:36 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5196550 and 3225?\nAnswer: 1075","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o**(2\/3)*o)\/o*o)\/o)**(-39)\/(o*o\/o**(-6)*(o\/o**(1\/8))\/o)*((o*o*o**(-7))\/(o\/o**(-1\/2)))**(-8) assuming o is positive.\nAnswer: o**(-167\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.61565 plus 30?\nAnswer: 27.38435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**2 - 16017*i - 21342720 = 0. Calculate i.\nAnswer: -2779, -2560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -60?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 295 = -5*p, p = -p - 5*m - 109. What are the prime factors of (-1)\/((-122)\/p - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 10*q**2 - q - 5. Let c be u(-10). Suppose -25 = c*w - 35. Let k(v) = v + 1. Let p be k(3). Solve -r - r - p = w*l, -l + 2 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35160 and 75.\nAnswer: 175800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 0. Suppose -d - d = -2. Let a be (-6)\/8 + (d - 0). What is the biggest value in -1, a, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -2\/29, 0.4, 0.06?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 6*u - 7*u + 3 + 3*u - 3 + (2*u + u - 2*u)*(-1 + 6 - 3))*(5 - 2 - 5) to h + n*u and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -829 - -832. Solve y*v = 7*v - 2*l - 18, -13 = -3*v + l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 4*k + 10. Let g be s(-5). Suppose 2 = -g*o + 17. What is c in -3*c**4 - c - o*c**3 + 13*c + 3*c**2 - 9*c = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 5942*z**3 - 26*z + 25. List the prime factors of k(1).\nAnswer: 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 711\/395*20\/(-6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**2 + 5*h - 2. Let o = 3\/143 - -709\/286. Let u(w) be the second derivative of 0 - 4*w - 5\/12*w**4 + 7\/3*w**3 - o*w**2. Determine 8*d(f) - 3*u(f).\nAnswer: -f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1279920 + 0*x**3 - 1279915 - 1279910 - 1279915 + 5119670 - 5*x**3.\nAnswer: -5*x**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30493 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - p**2 + 9. Let a be n(0). Let c be (3\/a*0)\/2. Solve -5*k + 10 = -c*k, -5*k + 20 = -5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 c when three letters picked without replacement from {f: 2, d: 1, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -15\/17, 0.5, -15 in ascending order.\nAnswer: -15, -15\/17, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -71 + 247. Let s(u) = -5 + 49*u + 2*u**2 + 5*u**2 - j*u. Let d(v) = 11*v**2 + 7*v - 8. Let a(k) = 5*d(k) - 8*s(k). What is a(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1200 and 34.\nAnswer: -40800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c97c8 (base 13) in base 5?\nAnswer: -142011040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117135 is divided by 144.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 0*k + 3\/8*k**5 + 15\/8*k**4 + 0 + 3\/2*k**2.\nAnswer: 3*k**2*(k + 1)*(k + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 0) + (66 - 71) + (-2 - -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 45*a*f**2 + 172*a*y + 6*f**2*y + 9*f*y + 106*f wrt a?\nAnswer: 45*f**2 + 172*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1812 - -1798.288. Let c = -0.112 - t. Let z = c + -36. What is z rounded to zero dps?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11364 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 13*w + 83. Let h be i(-7). What is the remainder when 25 is divided by 63\/(-54)*(h - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-14)\/48)\/((-792)\/(-162)) and -5\/22?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2391 - 595 - 551 = 87*r + 465 for r.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2510294998 and -2.\nAnswer: -2510295000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h*j**2*x**2 + 253*h*j**2 - 8*h*j - 7*h*x**2 wrt j?\nAnswer: 12*h*x**2 + 506*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -21. Suppose -2*v + q = -3*k + 1, 0 = -5*k - 3*v + 20. Suppose -11 = -5*i - k. Solve i*a - 4 = l + l, 0 = 5*l - a + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 620 and 200012?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1180139 or -1179830?\nAnswer: -1180139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 92775.32nm?\nAnswer: 0.00000009277532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 177 (base 8) to base 3\nAnswer: 11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.05 + 4.3. Let r = w - -1.25. What is the fourth biggest value in -0.2, r, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 14\/(-4))*-2. Suppose -2*f**4 - c - 3*f**3 + 3 + f**3 = 0. Calculate f.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21*(-18)\/6*6*72\/(-1296).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800*g - 2 - 3 + 5 - 814*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + u + 0*u = -4, -2*k = -4*u - 4. Let n(d) = 4*d**2 - 3*d**2 - 3*d**k. Let a(s) = s**2. Determine n(a(o)).\nAnswer: -2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -281\/9?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.0065862*0.1\nAnswer: -0.00065862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -374*u**3 - 262*u**3 + 4 - 334*u**3 + 4.\nAnswer: -970*u**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 14*v**2 + 92*v + 144. Does 14 divide x(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 220 - -145. List the prime factors of k.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2145222 and 1668506?\nAnswer: 15016554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079448?\nAnswer: 2, 3, 41, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57934503, -115869008, -173803513, -231738018, -289672523, -347607028?\nAnswer: -405541533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -149*g**2 + 7*g + 9. Let d(h) = -151*h**2 + 8*h + 9. Let x(a) = -7*d(a) + 6*i(a). Find the second derivative of x(q) wrt q.\nAnswer: 326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193797654793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(720) + sqrt(20).\nAnswer: 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3465\/(-11340) - (2 + (-7)\/4). Let u(h) = -2*h - 3. Let j be u(-3). Let t = j + -5. Which is the smallest value? (a) t (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6692047 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508 = -4*x + 2*q, -4*x - 2*q - q = -528. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 80 + 2\/(-2). Suppose 0 = -9*s + 4*s + w. Is s a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 = -5*k + 214. Let n be (-1269)\/(-94)*4\/(-6). Let d be (213\/n)\/((-425)\/k + 4). Round d to the nearest 10.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 1892 = u, -2*u = -2*d - 0*d - 3786. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*(-38)\/(-1463)*3\/(-4).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6793 (base 11) to base 13\nAnswer: 40b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 - 11*p**2 + 17*p - 43. Let y(s) = -s**3 - 1. Let o(k) = -d(k) + 2*y(k). Calculate the remainder when 649 is divided by o(9).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 74 = -3*b, 0 = -3*b + 4*b + 3*d - 13. Suppose -b - 17 = -9*u. Solve -4*v + 15 = -v, -31 = 3*a - u*v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 70?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1133 - 27*s - 1209 + 101*s + 2*s**2.\nAnswer: 2*(s - 1)*(s + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yee when three letters picked without replacement from eececjoyjoeyjey.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 163 - 157. Solve -b + w - 1 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(10) + sqrt(60)\/(sqrt(6) + sqrt(24)\/sqrt(4) - sqrt(6))))\/((-2*sqrt(4) + sqrt(4))*3 + (sqrt(4) - -1*sqrt(196))).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14606911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 + 99*p - 478. Let r be q(7). Suppose 10*d - 8*d - 266 = 0. Suppose 4*m = 5*m - d. Calculate the highest common divisor of r and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 + 12*a + 29. Let f be s(-7). Is -294 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/v**(-1\/3))*v*v*v)**(-9\/8) assuming v is positive.\nAnswer: v**(-15\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 248807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-963) + (-6288257)\/11304336.\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -9\/2, 0, 36, 0.3 in decreasing order.\nAnswer: 36, 0.3, 0, -1\/4, -9\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8348.\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 553?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4277, -2, 1, 3 in decreasing order.\nAnswer: 5, 3, 1, -2, -4277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 5*q - 82. Let a be j(12). Solve 22*z = -a*z - 48 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, 1, 2, 3, 4, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 minus 0.7?\nAnswer: -44.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**5\/20 + 11*b**4\/6 - 10*b**3\/3 + 7*b**2 + 6*b + 3. What is the remainder when 134 is divided by q(21)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31613\/1515 - 4\/(-30).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 + 10*q + 5. Suppose 0 = 3*z - 2*m - 28, -2*z + 28 - 5 = 3*m. Let o be j(z). Sort -3, 2, o in decreasing order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - (140\/(-2) + 4). Suppose -2*v + y + 176 = 0. Let o = -84 + v. Calculate the remainder when o is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -58393 and 5.\nAnswer: -58388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 31. Let d(u) = 2*u**2 + 8*u - 8. Let z(o) = -2*o**2 - 10*o + 10. Let s = -151 + 156. Let y(m) = s*d(m) + 4*z(m). Give w(y(b)).\nAnswer: -4*b**4 - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-6))\/(26\/(-156)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - b = -4*l + 44, -2*b + 62 = 4*l. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/80 - 7*q**4\/24 + 11*q**3\/6 - 5*q**2 - 142*q. Determine l so that u(l) = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 935477 divided by 6?\nAnswer: 935477\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 1:34 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 261 - 478. Let x = n + 380. Suppose -18*i + 19*i = x. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 3.1. Let z = -0.3920915 + -0.707909. Let h = i - z. Round h to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-4))\/(12\/(-3552)). Suppose -20337 = s*k - 77*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -1, 17, 53, 113, 203?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75205 and 1235.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Let o(s) = 0*s**2 + w*s**2 + 6*s**2. Let j(b) be the third derivative of b**4\/6 + 27*b**2 + 7. Determine j(o(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*y = y, 3*m - 4*y = 14. Suppose -4*t = -m*a, -t + 4*a - 10 = 2*t. Calculate the least common multiple of 9 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 86 + 4*i - 104 - 89 + i**2 + 252 to u*i + v*i**2 + q and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 38 = -v. Let y(i) be the second derivative of -i**3\/6 + 2*i**2 - 43*i + 2. List the prime factors of y(v).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.84 and 5.\nAnswer: 29.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10067730 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4 + 4 = -3*u, -y = -5*u - 4. Let k = -569\/9 - -63. Which is the closest to k? (a) -5 (b) -1\/3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and -21945.\nAnswer: -416955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4051167.04700042 - 4051167. Let v = s - 0.047. What is v rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -321, -2017, -4835, -8775, -13837, -20021?\nAnswer: -27327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-5) + -14 + 1122\/85. Solve -2*v - 8 = m, -2*r + 2*v - 4*v + 2 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jljpllu. What is prob of picking 1 j, 1 l, 1 u, and 1 p?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 AM and 8:38 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 215+-10869\nAnswer: -10654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 939 and 270?\nAnswer: 84510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-8) + 0 + 130\/728?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + 9*j**3 + 12*j**2 - 20*j.\nAnswer: -j*(j - 10)*(j - 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 636*y**2 - 67320*y - 2372112.\nAnswer: -2*(y + 102)**2*(y + 114)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*y - 19 - 7, 3*y + 12 = 3*n. Let k(x) = 4*x + 25. Calculate the remainder when 28 is divided by k(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, k: 4, s: 2, p: 1, o: 1}. What is prob of picking 1 o and 3 k?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 102 and 309.\nAnswer: 10506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*v - 117 = 293 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 4*p + 7 = 0, -n = 2*n + p - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3358238 to the nearest integer?\nAnswer: 1833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 128.49 bigger than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(15)\/(sqrt(20)*-1) + 2*-1*sqrt(3) + sqrt(3) + sqrt(3) + 1 + sqrt(3) + 1).\nAnswer: 2*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1852 or 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9548 - -9599. What is the greatest common factor of 1921 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*j*m**3*w - b*j*m + b*m**3 + b*m*w + 8*j*m*w + 6*m**3 + 2 wrt w?\nAnswer: 3*b*j*m**3 + b*m + 8*j*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yy. What is prob of sequence yy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3003 and 52689.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/6 + (-39)\/9)\/(-2). Suppose -34 + 6 = -o*p. Let u(h) = h**3 - 14*h**2 + 4*h - 21. What is the remainder when 174 is divided by u(p)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + (4 - (15 - 4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*l + 29 = -3*m - 67*l, l + 5 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from ffffaffanfnan.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 7*m - 5. Let g(x) = -x. Suppose -3 = 3*i + 5*w + 9, i + w + 4 = 0. What is the lowest common multiple of g(i) and z(-5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 29, 52, 75, 98?\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8900894?\nAnswer: 2, 17, 261791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 164657, 284, 1\/5 in decreasing order.\nAnswer: 164657, 284, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.4, -2\/9, -35\/132, -11\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15431*x = 15427*x + 5*a - 6*a + 81, 2*x - a - 39 = 0 for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1509 divided by -27.\nAnswer: -503\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9\/4 + 15\/4. Let z = -0.3 - -3.3. Which is the smallest value? (a) 0.2 (b) z (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + d**3 + 2*d**2 - d**2 - 1 to r*d + a*d**2 + w*d**3 + f and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - v**2 + v. Let s be 4 - 36\/4*3\/9. Let z(k) = 10*k**3 - 2*k**2 + 4*k. Let m(q) = s*z(q) - 6*t(q). Factor m(a).\nAnswer: -2*a*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v**3 + 2*v**3 + 4*v**3 - 2*v + v**4 - 4*v**4 as c*v + f + y*v**4 + k*v**2 + r*v**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 1. Let w(b) = -2*b + 2. Let t(l) = 5*q(l) + 2*w(l). Calculate t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-3)*(c**(2\/15)\/c)\/c*(c*c**(-1\/3))**(-8)*(c*c\/(c*c*c**1\/c*c))**(-1\/5)*(c*c**2*c*c)**(-2\/69) assuming c is positive.\nAnswer: c**(-700\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 412 divide 127210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5298933?\nAnswer: 3, 43, 41077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3307*m**4 - 31*m**2 - 2 - 3331*m**4 + 2 wrt m.\nAnswer: -576*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 564443 not equal to 564442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10506 + -5312. Calculate the greatest common factor of 212 and h.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 - 9*c**4 - 7*c**4 - 3*c**4 + 2*c**4 + 0*c**4 + (-2*c**4 - 3*c + 3*c)*(-3 - 3 + 7) - 2*c**4 - 4*c**3 + 4*c**3.\nAnswer: -24*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/((63\/(-14))\/(-1))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 342952\/9 greater than 38106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2590*k + 5*k**3 + 2*k**2 - 4860*k + 2270*k - 2*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 68*l + 1147. Calculate o(33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 578*z**2 - 570*z**2.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 10*m**2 - 2*m + 204. Let u(t) = -24*t**2 + 5*t - 406. Give 2*u(a) + 5*z(a).\nAnswer: 2*a**2 + 208","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k**2 + 32*k + 12. Calculate m(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207896176?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phppptbhggghohg. What is prob of picking 1 g and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40146809, 80293624, 120440439, 160587254?\n\"Answer: 40146815*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 32*m**2 - 234*m + 127. What is the remainder when 278 is divided by k(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/5*a**3 - 24\/5*a - 38\/5*a**2 + 8 - 2\/5*a**4 = 0. What is a?\nAnswer: -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**2\/7 - 70940*s - 25827568\/7 = 0.\nAnswer: -52, 248342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/6)\/3*6\/(-8)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f - 2. Suppose -k + 9 = -0*k. Let c = k - 12. Calculate g(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:20 PM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/15)\/(5\/(75\/(-6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 230123301 (base 4) in base 10?\nAnswer: 182001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 238, 778, 1824, 3544?\nAnswer: 6106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13289667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -65136*l + 65180*l + 44 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 410 = 356 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2 + 4 - 0). Let d = 2 - p. Solve 5*g - g**3 - 3*g**2 - 5*g + 4 + 0*g**d = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 3*g + 4. Let v(a) = -a + 3. Let x be v(0). Suppose 3*l - 5*q - 58 = 0, 3*l = -q + x + 25. What is the remainder when l is divided by t(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25692 divided by 6.\nAnswer: 4282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 925327250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 111313 (base 6) to base 16\nAnswer: 24bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-105)*(-1)\/(-2))\/((-76)\/14).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/(-66))\/(((-1)\/(-161))\/(40\/(-140)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16528 is divided by 233.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 38917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ieei. What is prob of sequence ieie?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -2*b + 355, -4*r - 2*b = -5*r - 63. Let g = -65 - r. Suppose -5*v = 3*k - 21, 4*k + 7 - 3 = 4*v. Calculate the remainder when g is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:29 AM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 656947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 191.1171mg?\nAnswer: 191117.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -28954*c**2 - 1. Let o(j) = -32*j. Calculate o(n(x)).\nAnswer: 926528*x**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**2 + 6*u**2 - 2 + u**2)*(-244*u + 201*u + 361*u).\nAnswer: 1272*u**3 - 636*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2\/7 + 19088*y\/7 - 34170132\/7.\nAnswer: 4*(y - 1387)*(y + 6159)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(320) + -1*sqrt(320) - sqrt(320))**2 - sqrt(320)) + 5*(sqrt(5) + -1) + 5).\nAnswer: -1600 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 57*v + 29. Give i(16).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 3, 14, -1 in increasing order.\nAnswer: -59, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((1*sqrt(70))\/sqrt(7))\/(sqrt(720)*-2 - sqrt(720)))**2.\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (6386\/3399)\/31*77\/3\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.1 from 9.949.\nAnswer: 3.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 243865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -p - 3. Suppose -p*v + 37 + 23 = 0. Suppose 3*c - 5*g - 30 = 0, 0 = 2*c - 0*c + g - v. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/(-27) - 104\/(-18). Let n be -1*v\/(-153)*-3. Suppose 8*w = -5 + 21. Which is the closest to -1? (a) n (b) w (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -2.5994682?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2789803 divided by 5.\nAnswer: -2789803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0.98, 11, 0.5, -10, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -j + 2099, -2*m + 850 = 3*j - 0*j. Let a = m - 226. Suppose 3 = q, -w - 4*w + a = -4*q. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:56 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1167 * 41.433.\nAnswer: 48352.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 674.6 * -1829.\nAnswer: -1233843.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 4:20 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o + 6*o - 14*o**2 + 13*o**2 + 31.\nAnswer: -o**2 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - n = -3*n - 10, -4*n = 4*p + 20. Suppose -5*u = -80 - p. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*k + 56392 = 10684. Is k a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - -0.6. Let g = 1.1 + m. Which is the closest to -1? (a) g (b) 0 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 2*u**5 + 0*u**5 - 2 + 2 + u**5 + (0*u**2 + 4*u**2 - 5*u**2)*(1 + 2*u**3 - 1) + 5*u**5 + 3*u**5 - 2*u**5.\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.5 (b) -1\/3 (c) -38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -74, 39886, -0.2, -21, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 12*g - 14. Give u(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -698, -1746, -3134, -4868, -6954, -9398, -12206?\n\"Answer: -g**3 - 164*g**2 - 549*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - x - 5. Let a be h(5). Let w = 17 + a. Is 9 a factor of w\/(-7)*(-1 + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1259 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3187897, 3187889, 3187871, 3187837, 3187781, 3187697?\n\"Answer: -o**3 + o**2 - 4*o + 3187901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b**2 + 2*b - 1. Let a(p) = p**2 - 9*p + 2. Let r be a(9). Let n be h(r). What is the tens digit of (-2)\/5 + 171\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009398928 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 184 in descending order.\nAnswer: 184, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2 + 3)*(8*k**3 - 8*k**3 + 8*k**4).\nAnswer: -32*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 9*z - 10. Let k be 5 - (2 - 1 - 1). Let y(j) be the first derivative of 5*j**2\/2 - 5*j - 13890. What is k*y(m) - 3*f(m)?\nAnswer: -2*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + s**2 - s + 2. Let i be c(0). Let v(k) = -9*k + 2. Let m be v(i). Let f be (20 + m)*2\/1. Solve 1 = -3*y + 2*n, 5*n = -4*y + y - f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -405312460 to the nearest 100000.\nAnswer: -405300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -5 (b) 0.9 (c) 0 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a millimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1108311931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -5, 7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 5*g**2 + 8*g - 7. Let b = 19 + -13. Let r be n(b). Solve s - 3 = 2*q, 5*q + 2*s = 4*s - r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -910 and 0.11?\nAnswer: -100.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1574 - 120?\nAnswer: 1454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2202.\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 912763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) -140 (b) 2\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*w = -227 + 172 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.638052 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*l**2 - 4*l**2 - 3*l**2)*(5*l**2 + 0*l**2 - 4*l**2)*(-3 + 9 + 8) as p*l**2 + n + o*l + v*l**3 + r*l**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 + 3141805*s**2 + 35 - 5*s - 3141805*s**2 to v + n*s**2 + o*s + y*s**3 and give v.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1053\/(-39)*50\/135*-3.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13.5 - -11. Let a = -2.39 - v. Let d = a - 0.1. What is the third biggest value in 0.2, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2584 (base 9) to base 2.\nAnswer: -11110010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - j**4 + 2)*(2 + 308*j + 434*j - 102*j).\nAnswer: -640*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*n + n. What is the remainder when 46 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 671715 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.39, -1\/3, 0.5 in ascending order.\nAnswer: -1\/3, 0.3, 0.39, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dj when two letters picked without replacement from dlaalddlfkddkldajldd?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4\/23 + 26802*m**3\/23 + 80394*m**2\/23 + 80390*m\/23 + 26796\/23 = 0.\nAnswer: -13398, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08 + 27.92. Let c = 32.6 - f. Let j = c - 0.6. Sort -2, -2\/3, j in descending order.\nAnswer: j, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -11470*x + 11472*x - 3*i, 3*i - 21 = 3*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**3 + 14*t**2 + 7*t + 9. What is q(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -117ac457 + -5?\nAnswer: -117ac45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1648097510 rounded to the nearest 1000000?\nAnswer: -1648000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2 + 15*o + 19. Give l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.36 (b) -4\/7 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15941 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -9\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 506, -1, 0, 9, 5 in ascending order.\nAnswer: -1, 0, 5, 9, 506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*p**4 + 8*p**3 + 9*p**2 - 7.\nAnswer: 216*p + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 2.7. Let g = k + -0.2. Let u = 3 + -3.1. What is the smallest value in -1, g, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16144.56 + 0.3759266.\nAnswer: -16144.1840734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 o when four letters picked without replacement from {o: 6, j: 13}.\nAnswer: 143\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f**3 - 20050*f**2 + 1898755*f - 3717350 = 0. What is f?\nAnswer: 2, 95, 3913","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.07 - -0.065. Let h = 0.195 - s. Which is the biggest value? (a) 0.4 (b) -1 (c) h (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5\/2)\/a*a**(16\/7)*a)\/(a**8)**36 assuming a is positive.\nAnswer: a**(-4035\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43143204, 86286410, 129429616?\n\"Answer: 43143206*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7117 - 234881\/33. What is the common denominator of 13\/33 and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-610)\/1200 + 6\/16. What is the third smallest value in r, 5, 2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3072 (base 14) in base 13?\nAnswer: 3a3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/(-40))\/7)\/(2\/15)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1597.7 + -1598. Which is the third biggest value? (a) n (b) 1\/4 (c) -0.96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m. Let v be u(-1). Suppose 0 = 3*n + v, 5*n + 4 = 3*t - 6*t. Solve -6*j - 3*c + 7 = -2*j, c = t*j + 9 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-80)\/(-160) + (-5)\/(-2). Sort c, 7, -64, -4.\nAnswer: -64, -4, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 63693704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31872, -127765, -287670, -511587?\nAnswer: -799516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14145433 is divided by 124.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + (-77 - -41 - -32) - 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1. Let t be (s + 6\/(-10))*-5. Let d be (-1)\/(1\/(-2) - 0). Sort t, -1, d in ascending order.\nAnswer: -1, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - w**2 + 7*w**3 + 3*w**2.\nAnswer: 15*w**3 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1419, 1427, 1457, 1521, 1631?\nAnswer: 1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8469 - 8497. Which is the nearest to -6\/11? (a) -2 (b) 2 (c) -0.2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*s, 4*s - 5 = -s. Let d be (1 + -2)*0*f. Suppose 0*o - 2*o + 64 = d. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + j = 6*j - 37, q = 4*j - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of 3*w**5\/20 + w**4\/12 - 2*w**3\/3 + 7*w**2\/2 + w. Let b be c(-8). Let s = b + 2183. Round s to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -6. Let b = 160 - 152. Suppose -b*y = -118 - 234. What is the greatest common divisor of y and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63297.93 + -64394. Let p = q + 1113. Let n = p - 17. Are n and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2224251 + 4500?\nAnswer: 2233151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - -1c8098?\nAnswer: 1c8097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -5*y - 36, 0 = -h + 4*y + 35 + 1. Calculate the greatest common factor of 90 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19635 and 204?\nAnswer: 78540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2115, 8288, 18585, 33012, 51575, 74280, 101133?\n\"Answer: c**3 + 2056*c**2 - 2*c + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38751218 <= 38751216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*m - 21 = -9, -5*a = -2*m - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 188 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*f**2*g**2 + f*g**2 + 149*f*g wrt f?\nAnswer: -28*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:39 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (449855 + 3 - 2) + 3. Suppose -x = -5*n - 32034. Let d = -58265 + n. Round d to the nearest one thousand.\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q + 2*q - 10*q**2 to h + j*q**2 + w*q and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 1. Let y(p) = 2*p**3 - 2*p**2 - p + 2. Calculate -2*s(i) + y(i).\nAnswer: 4*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3256 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 39681*r - 12. Let z be d(3). Suppose 14*v - 9*v - z = 4*b, 2*v + 3*b - 47594 = 0. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmidmmmddxddmmmmd. What is prob of picking 2 m and 2 d?\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + z**2 - z. Let p(v) = 18*v**3 + 15*v**2 - 15*v. Determine 2*p(i) - 30*q(i).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 0.4, -1\/2, -0.22?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2110078 = 80*v + 748958. List the prime factors of v.\nAnswer: 2, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1)*210\/630\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1726*p = 1124*p - 148200 for p.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 5*l**2 + 142*l - 351. Give t(-31).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 6*r - 6. Suppose 4*y = 3*g - 4, -5*g + y + 14 = -2*y. Calculate o(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 177 (base 16) to base 6.\nAnswer: 1423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-108)\/(-135))\/((-1)\/(-435)) a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1720 - 2581 = -41*k for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 8, f: 3, i: 4, r: 3, y: 1}. Give prob of picking 1 y, 2 r, and 1 v.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2601386897 - -54.2601379497. Let g = -54 + z. What is g rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 + 11*y - 1. Let z be m(14). Let q = -25 - z. Let w = -217 - -325. Calculate the highest common factor of w and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -99 - -96. Put 67, 5, y in increasing order.\nAnswer: y, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34841 is divided by 4230.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1972080 and 4980?\nAnswer: 1972080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -279828 * -0.0048.\nAnswer: 1343.1744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/15*75\/(-270)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1500))\/(sqrt(2160)\/sqrt(12)).\nAnswer: -5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10063494 = -322*n - 15*n. What is the ten thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:11 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 187.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*t**3 + 119*b**2*t + 7*t**4 + t**2 + 2*t wrt t?\nAnswer: -6*b**2*t + 84*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, r: 1, o: 14}. Give prob of sequence oj.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 42*i + 360.\nAnswer: (i + 12)*(i + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1641639471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/1)\/(-3 + 13 + 27\/(-3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 8*z - 95. Let y(u) = 8*u - 87. Give 3*x(w) - 2*y(w).\nAnswer: 8*w - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 12:52 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmn when three letters picked without replacement from nnmnmmznnnnmlxmlmm.\nAnswer: 49\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:59 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i - 2. Let o be z(2). Sort -6, -3, o in decreasing order.\nAnswer: o, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 - 4*r - 4. Let o(p) = 5*p**2 - 500 + 505 + p + 4*p. Let m = 3 - 1. What is m*o(u) + 3*t(u)?\nAnswer: -2*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13520271960357028 - -32602459318677261976801\/2411376. Let x = z + -41\/73072. Let p = x + 790\/3. What is the common denominator of -33\/14 and p?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5038\/(-22671))\/(4*(-2)\/(-36))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 s when two letters picked without replacement from ssshsdsss.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + f - 1. Let g(j) = 20*j**2 - 8*j + 7. Let a(b) = g(b) + 6*h(b). Let q be a(-2). Suppose -2*c + c + 78 = 4*r, 3*r - q = -2*c. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1054, 5, -288, -5 in descending order.\nAnswer: 1054, 5, -5, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**3\/6 + v. Let g(b) = 3*b - 1. Let c(y) = g(y) - 6*m(y). Suppose 16 = 10*k - 14*k. Determine c(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxx when three letters picked without replacement from {x: 2, h: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) 0.2 (c) 1\/2 (d) 0.28 (e) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, 2, -1, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1934.000001769 + -1934. What is i rounded to 7 dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 4523401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, f: 2, v: 1, r: 1, e: 1}. Give prob of sequence xf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)\/(z*z\/(z**(2\/25)\/z)))**1 assuming z is positive.\nAnswer: z**(-123\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -9, -24.\nAnswer: -24, -9, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0134948 and -3.\nAnswer: -0.0404844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 294*i**2 - 2476*i**3 - 1785*i**3 - 6718*i**2 - 1037*i**3 wrt i?\nAnswer: -31788","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = -5*v, -11*w + 32 = -7*w - 3*v. Suppose r - 2*x - w = -3*x, -5*x - 55 = -3*r. Solve 5*l = -r, 0 = a + a - 2*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.5 - 1.5. Let h = -0.05 + 0.45. What is the closest to g in h, -1\/10, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {f: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 23*m**2. What is the tens digit of y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, n: 7}. Give prob of sequence nzz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*f + 33 = -16*f. Let y = 30 - f. Suppose -21 = w - y. What are the prime factors of w?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 45. Let l(b) = 69*b**3 + b**2 + b - 1. What is the units digit of l(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 84 = -0*q + 4*j, -9 = -3*j. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4741009, 4741012, 4741015?\nAnswer: 4741018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 219, 228, 253, 300, 375, 484, 633, 828?\n\"Answer: h**3 + 2*h**2 - 4*h + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 957863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -0.28.\nAnswer: 0.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -9*f - 1. Let r(y) = 0*y + 5*y - 4*y. Determine r(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 less than 276009975.856?\nAnswer: 276009975.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/257?\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -220 times 32727\nAnswer: -7199940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 21*g - 1. Let s be m(2). Suppose n = 5*n - 3*j - 48, 0 = -5*n - j + s. Let r = 30 - n. Calculate the remainder when 40 is divided by r.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulu when three letters picked without replacement from {l: 2, q: 3, u: 5}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-238)\/(-34) - (-3)\/(-12)*(2 - -25).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.366 + 23.82084. Round f to two decimal places.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*d + 18 = 0, 4*s - 5 = -2*d + 5 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6 - 1 - (-2 - 3). Suppose -12 = d*r - 2. Let z be (5\/2)\/(((-3)\/6)\/r). Solve -3*c = v + z + 1, 0 = 2*c + v + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -338 - -4.9\nAnswer: -333.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 6)*(-12 + 12 + 12*t**2) + 5*t**2 - 3*t**2 - 3*t**2 to the form y + x*t + z*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.075 to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2. Let p(b) = 28*b**2 + 4758*b - 9510*b + 4752*b - 1. Calculate s(p(k)).\nAnswer: 784*k**4 - 56*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyy when three letters picked without replacement from nyyynynyyyynn?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 146. Suppose -44*l + 41*l + 57 = g. Calculate the remainder when 61 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**3 + v**2 + 24. Let g(k) = k**3 - k**2 - 1. Let j = -2330 + 2331. What is j*g(s) + z(s)?\nAnswer: -s**3 + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 6*v - 6. Let q be c(7). Let b = -1 - q. Calculate the lowest common multiple of b and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2 - 4. Sort -4, -2, l in descending order.\nAnswer: l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5663 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2 + k**3 + 3*k - 1 - 6*k**2 + 2. Suppose -4*g + 10 = -2*g + j, 0 = 4*j - 16. Suppose -c + 8 = t, c + g*t - t - 11 = 0. Determine q(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 50348689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -226237 at least -226234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 3:31 PM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(-1\/69)*w**(-2\/15)\/w*w*w**(1\/6)*w assuming w is positive.\nAnswer: w**(231\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000444492 to 5 dps.\nAnswer: 0.00044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 113130411 + 22?\nAnswer: 113130433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.13 - -0.83. Let g = 51.59 - 0.59. Let z = m + g. Round z to 0 decimal places.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.03947 and 1.2.\nAnswer: 5.23947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -667087 times -52\nAnswer: 34688524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3657 by -3.\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -15*b - 16. Let y be x(-3). Let f = -27 + y. Suppose -f*i + 123 = 71. What is the remainder when i is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 0 (b) -2 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 2229?\nAnswer: 13374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -1, 0.1, -1.5, -0.046?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*q, -x - 57*q = -52*q - 695. Let r be 1500\/x + (-3)\/((-18)\/(-8)). What is the biggest value in 4\/7, r, -4, -8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17363280?\nAnswer: 2, 3, 5, 11, 6577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 133*k**3 - 5*k**3 + 38 + 56 - 53 + 84 wrt k?\nAnswer: 384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.4 (b) 57.2 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thhttetthcthhehht. Give prob of picking 1 h, 1 e, and 1 c.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + 2 + -6 + 10 + 21.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 375 - 186. Is 27 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294*w + 5*n + 604 = -291*w, 0 = -4*w - 2*n + 788. What is the lowest common multiple of 462 and w?\nAnswer: 1386","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1657929647.\nAnswer: 11, 89, 1693493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 402463959 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 491751 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 722642167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l. Let d(x) = -7*x. Let z(t) = -3*d(t) + 5*w(t). Let a(q) = -3*q + 7. Let g(h) = -h + 3. Let k(n) = -3*a(n) + 7*g(n). What is z(k(u))?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3297 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 931.8929 hours?\nAnswer: 55913.574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2332232131 (base 4) to base 12\nAnswer: -318111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o - 68 = 0. Solve -3*c - j - o = 2*c, -3 = -j for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956096 divided by 14144?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2\/25 (c) 4\/907 (d) -2\/7 (e) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -1 - (34 - (13 + 18)) - -5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(7)*-1*-6)**2 + sqrt(35)\/sqrt(180) + 1 + (sqrt(252))**2.\nAnswer: -755 + sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q**2 - 3*q - 2. Let f(a) = 2*a**3 + a**2 - 2*a - 1. Let g(x) = f(x) - m(x). Let h(p) = -12*p**3 - 3*p**2 - 4*p - 4. What is 4*g(s) + h(s)?\nAnswer: -8*s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/100 and 127\/740.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82918?\nAnswer: 2, 11, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 167643 and 5292?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 3 - (8 + (69 - 78)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3174 is divided by 1585?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 7. Let r be (0 - 10\/(-4))*2. Let x be h(r). Suppose -24 = -3*y + 120. What is the highest common divisor of x and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 5:45 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(220\/8)*(-45)\/(-81)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -1\/42*m**4 + 0 + 5*m + 0*m**3 + 1\/35*m**5 - 1\/105*m**6 + 0*m**2. Find v, given that l(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (386*l + 1452*l - 705*l)*(-1 + 4 - 2)*(0 + 2 - 5).\nAnswer: -3399*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 20.8+-2\nAnswer: 18.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20553 and 9021.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/118 and -23\/17838591.\nAnswer: 35677182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -67, -140, -219, -298, -371, -432, -475, -494?\n\"Answer: t**3 - 9*t**2 - 53*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*u**4 - 1 + 0*u**4 - u**2 - 37*u - u**3 + u + 5*u**4 to the form v*u**2 + l*u**3 + s + m*u**4 + j*u and give j.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 135084 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3 + 60*m**2 + 18372*m - 36960.\nAnswer: -3*(m - 88)*(m - 2)*(m + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -45*f - 458. Let o(g) = 149*g + 1373. Determine -10*l(r) - 3*o(r).\nAnswer: 3*r + 461","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sn when two letters picked without replacement from {e: 1, n: 4, s: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2 - 21*k + 10. Suppose -13*m + 17*m + t - 37 = 0, -2*m + 5*t = 9. Determine b(m).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4, 2*c + 0 - 2 = -2*w. Let h be 3\/12*-2*c. Solve h = -3*y - y + 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3241*n**2 - 3*n**3 + 8*n**4 - 3241*n**2 + (2*n**2 + 4*n**2 - 2*n**2)*(-2*n**2 - n + n) + 0*n**4 + 0*n**4 - 2*n**4.\nAnswer: -2*n**4 - 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 52. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/12*2\/(-12). Let m(k) be the second derivative of v*k**4 + 0 + 0*k**3 - 2\/45*k**6 - 2*k + 1\/30*k**5 + 0*k**2. Determine y, given that m(y) = 0.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.5 (c) -0.1 (d) -10\/263 (e) 0.1 (f) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10302488193 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3976 - 3341. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 7:15 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/13 (b) 1\/10 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63753858 - 3?\nAnswer: 63753855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 4 - (15 - 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/4 - 2\/(-56). Let t = 65 - 389\/6. Let q = -0.07433 + -3.92567. Which is the third smallest value? (a) q (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 1\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 0 - 1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 80 - 72 = 0. Suppose w = 5*m + 3*y, 3*m - 5*y + 6*y - 4 = 0. Solve 4*r - 17 = m*k - 3, 0 = 5*r - 2*k - 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -329610518 and 921.678.\nAnswer: -329609596.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 27\/5 of a kilometer?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-2 + 2 + (sqrt(891) - 2*sqrt(891)) + sqrt(891) + (0 + sqrt(891) + sqrt(891) - sqrt(891)) + sqrt(891) + 1 + sqrt(891))**2)*6.\nAnswer: 324*sqrt(11) + 48138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/10*-1 - 666\/(-15). Suppose 0*c = -c - u. Let b = c + 50. Calculate the remainder when 75 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 - 4*h + 7. Let z be k(-6). Let r(j) = j + 1. Let t be r(z). Let a(u) = 2*u + 2. Calculate a(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2.8 and 41.0673.\nAnswer: 43.8673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/21900 and 49\/36.\nAnswer: 65700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -228*a**2 + 99*a**2 + 91*a**2 + 43*a**2.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21222112011010 (base 3) to base 6.\nAnswer: -230531350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j. Suppose -211*s + 38*s = 193*s - 1098. Let i(c) be the second derivative of 0*c**2 + 0 + 24*c + 5\/6*c**s. What is p(i(k))?\nAnswer: 25*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/3 or -3478?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 48*n**2 + 325*n - 396. Give o(54).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 1, t: 2, q: 1}. What is prob of sequence oq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 3*m + 0*m)*(2*m**2 + 42*m**2 + 30*m**2 + (3 - 1 - 4)*(-m**2 - m**2 + 4*m**2)).\nAnswer: -70*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 0)\/2 - 1. Suppose 2*j - 5 + 1 = 0. Let z be (j\/21)\/(8\/(-12)). Which is the nearest to -2\/3? (a) z (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -637.01 rounded to the nearest integer?\nAnswer: -637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/4 + 17301*y\/2 + 727965\/4.\nAnswer: -3*(y - 11555)*(y + 21)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -82*b + 1. Suppose -7 - 32 = 3*z. Is r(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 288347 and 3111671?\nAnswer: 1769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1841780\/3 - 613928. Let y = -3 - -6. Let w = 2 - y. Which is greater: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v - 3. What are the prime factors of a(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69473*20.5.\nAnswer: 1424196.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 - 395684*q**3 - 55*q**2 + 80*q + 416256?\nAnswer: -24*q**2 - 2374104*q - 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 72 + 16172?\nAnswer: 16264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 14 + (11 - 18).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219459 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6056, -12052, -18046, -24038, -30028?\nAnswer: -36016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16663 and 477965?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1435, -2419, -2963, -3067?\n\"Answer: 220*n**2 - 1644*n - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 6*z + 4*z + 6 = 0, 5*k - 5*z = -15. Suppose -7*m + 21 = -k*m. Solve -4*n - 11 - 15 = 2*d, 2*n + m*d = -23 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -20.54335\nAnswer: 6.163005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 5*m = 25, x + 2*m = -0*m + 9. What is the derivative of o + o - x + 0 wrt o?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3250 divided by 2?\nAnswer: -1625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39659225?\nAnswer: 5, 373, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + -2.1. Let r = 0 + 0. Let h = -154658 - -11290032\/73. Which is the second biggest value? (a) r (b) h (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 12, -39, -136, -285, -492?\nAnswer: -763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20\/13 in 2, 3\/17, 5?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -0*x - 25. Suppose -2*o + c + 4 = x, 5 = -4*o + 5*c. Solve 0*g + 2*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1203, -1204, -1219, -1254, -1315, -1408?\nAnswer: -1539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 - 6*s**4 + 1000*s + s**4 - 753 - 450*s**2 + 80*s**3 = 0. What is s?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/((x\/x**(-3\/4))\/x))\/x**1)\/(x**0\/x**(-4)) assuming x is positive.\nAnswer: x**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2*w**3 - 3*j**2*w**2 + 1157*j**2*w - 29573*j*w**3 + 2*j*w - 5*w**4 - 2*w**2 + 5 wrt w?\nAnswer: 12*j**2 - 177438*j - 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from blblblbblllb. What is prob of picking 1 b and 2 l?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14\/(297\/81 - (-2)\/6). Let a(f) be the first derivative of -4 + 2*f**3 + x*f**2 + 0*f. Find the second derivative of a(p) wrt p.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fpfn when four letters picked without replacement from flpflnonnf.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 107198 to the power of 1\/2, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 6. Let a(h) = 2*h - 7. Let l(u) = 3*a(u) - 4*n(u). Let g be l(-4). Put 1, 3, g in descending order.\nAnswer: 3, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31a (base 14) to base 8.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -625 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 653894339 to the nearest integer?\nAnswer: 25571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12025, -24072, -36115, -48154, -60189, -72220?\n\"Answer: 2*p**2 - 12053*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 899657?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 - 0 - (-12 - -11 - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = -5 + 85. Let v = -2 + 4. Suppose 4*p - v*z = 450, 0*p = 5*p + n*z - 540. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*w = -195 + 9 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 616\/(-120) - (-2)\/15. Let z = -12.8 + 0.8. Which is the smallest value? (a) u (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/4)\/x*x*x**(3\/14) assuming x is positive.\nAnswer: x**(-15\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.1 (c) 0.2 (d) -5 (e) 24329605\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1111 = -f - 1111 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1471 + 5953\/4. Let q = -27450\/11 - -200813\/66. Let x = 569 - q. Find the common denominator of f and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 13*q - 11*q = 16, -5*w - 2*q = -18 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2. Let c be 27\/72*10 + 6\/(-8). Let j(y) be the second derivative of -5\/6*y**4 + 0*y**c + 0 + 0*y**2 + 3*y. Calculate j(k(h)).\nAnswer: -10*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -2)*1\/1. Suppose -105*q + 79*q + 1430 = 0. Let u = q + -51. Sort u, m, 5, -4.\nAnswer: -4, m, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*p + 5*p. Let n(j) = -j**2 + 3*j + 2. Let b be n(-2). Let s = b + 20. Calculate the remainder when p is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 14*x**3 - 35*x + 13. Let c(i) = -7*i**3 + 17*i - 6. Let k(b) = 13*c(b) + 6*p(b). What is the second derivative of k(w) wrt w?\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -778, -783, -786, -787, -786, -783?\n\"Answer: q**2 - 8*q - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -730403.369 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 0.5 (c) -38 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*p - 10 = 28*p. Suppose -2*h + 20 = 5*s - 6, -2*h - p = -4*s. Solve -s*t - 6 = 2*c, 6 - 3 = 3*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800 is divided by 54 - -7 - (3 - -5)?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((7\/(-3))\/7)\/(1\/(-222)) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2833*r**3 - 2605*r**2.\nAnswer: -16998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 13 = 5*y, -10*b = -22*b + 4*y - 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -93*p. Let r(a) be the third derivative of 7*a**4\/24 - 453*a**2. Determine r(t(z)).\nAnswer: -651*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308.11 - -970.79. Round z to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 100 = -7*u. Solve 110 = 27*i - u*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 135833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -4)*((-8)\/30)\/1. Let w(f) be the second derivative of -2*f + f**2 + 0 - k*f**5 - f**4 + f**3. Determine a, given that w(a) = 0.\nAnswer: -1, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -605, -1378, -2317, -3422, -4693, -6130, -7733?\n\"Answer: -83*l**2 - 524*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6180850 + 12?\nAnswer: -6180839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 9, 3 in descending order.\nAnswer: 9, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131544, 263047, 394550, 526053, 657556, 789059?\nAnswer: 920562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3 + ((-1 + sqrt(275) - sqrt(275)) + sqrt(275))*4)**2 - (((sqrt(275) - (-1 + sqrt(275))) + 0 - sqrt(275) - sqrt(275))**2 + -5)).\nAnswer: -20118 + 1560*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*r**2 + 467 - 467 as n*r + b + p*r**2 and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 49.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 13 = -47. Suppose -q = 2*q + u, -2*q + 95 = 5*v. Is 4 a factor of (3 - 0) + v - 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 29. What is the remainder when 5 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 39590.\nAnswer: -197950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47.939 - 48.2. Let t = -52.29 - -52. Let v = t - u. Round v to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**6\/15 + r**4\/2 - 2*r**3\/3 + 12*r. Factor d(k).\nAnswer: -2*k*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + g**2 + 2*g + 1. Let h(c) = -c + 6. Let l be h(5). Suppose -l = -2*d - 3. Give z(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10946871, 10946869, 10946867, 10946865?\nAnswer: 10946863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2766 is divided by 213?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 4. Let f be o(0). Suppose -f*l + 10 + 10 = 4*k, -3*l - 5*k = -19. Calculate the greatest common factor of l and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**4*m)\/m**8*m**3\/(((m*m**(-3\/5))\/m)\/m) assuming m is positive.\nAnswer: m**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -150*m - 2*m**2 - 2 - 6*m**3 + 5*m**3 + 5*m**3 + 41*m to the form l*m**2 + h + q*m**3 + o*m and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 4*l - 0*l - 136, -5*m = 3*l - 102. Suppose -l = 3*i + 2. Let z be 282\/36 - 2\/i. Solve -k = -5*k + z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34356 - 7157. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 24*l**2 - 28*l + 84. What is g(-24)?\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 110925.\nAnswer: 13\/110925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39245 to the power of 1\/2, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**5\/5 + o**4 - 2*o**2 + 2*o + 4. Factor l(j).\nAnswer: -2*(j - 1)**3*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**3 - 16*w**2 - 16*w - 16. Let r(f) = 2*f**3 + 5*f**2 + 5*f + 5. What is 16*r(g) + 5*v(g)?\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108904, 107470, 106036, 104602?\nAnswer: 103168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 31498440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 9*a - 11. Let l be k(-2). Suppose -5*z + 30 = -l*b, 0 = -z - 4*b + 17 + 12. Solve -z*c + 8*c + 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*j - 0*r - 2*r, 4 = j + 4*r. Suppose j*w = 5*w. Suppose 7 - 1 = 3*n, -5*l - 2*n + 14 = 0. Solve -f + w*f + 3*a = 2, -f - l = -4*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 762216000 to the nearest one million.\nAnswer: 762000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + r = 24, 3*r - 5*r + 18 = 4*o. Let c(k) = -k**2 + 6*k + 5. Let s be c(o). Calculate the highest common factor of s and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.5238445 rounded to 3 decimal places?\nAnswer: -21.524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4, 1\/4, 5, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((1 + sqrt(176))**2 - (-2 + sqrt(11) + 4)).\nAnswer: 7*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 503.7 - 0.04915372.\nAnswer: 503.65084628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/108 and 23\/324.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1484288585?\nAnswer: 5, 13, 29, 53, 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i - 3*w + 32, -3*w + 1 = -5*i + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**(-9\/5)\/c))*c**(3\/14))**(-36))**(-1\/60))**(-1\/51) assuming c is positive.\nAnswer: c**(181\/5950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-5)*20\/(-3)*(-3)\/(1 + -7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -147 - -137379?\nAnswer: 137232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 323898425?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37385353 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 4 (c) -2776\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 6) to base 2.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(4)*-1 + 1*sqrt(55)\/sqrt(5) + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80)*5 + -5 - sqrt(35)\/(6*sqrt(28)\/sqrt(4)).\nAnswer: -5 + 119*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqqqqqqqqj. Give prob of sequence jqq.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*h + 3547 = -5*h - 1745 for h.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 972 and 1872801?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**4 - 2 + 2 - 35*h**4 + 96*h**4 - 9*h**4 + (3*h**3 - 2*h**3 + h**3)*(2 - 2 - 2*h) + h**4 + h**3 + 2*h**2 - 2*h**2.\nAnswer: 48*h**4 + h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 10*d. Let y(x) be the first derivative of x**3\/3 + 2*x - 8. Determine y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120212100110 - 11?\nAnswer: -120212100121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5485.54 - 5558. Let w = -72 - l. What is w rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 12*y**2 + 8517*y + 42269. Give p(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1903610 divided by 5.\nAnswer: -380722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 + 10*v**2 + 92979*v + 557952. Calculate j(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 25*g**3\/3 - 65*g**2\/2 - 30*g - 28. Factor f(q).\nAnswer: 5*(q - 3)*(5*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.9 times 1478?\nAnswer: -79664.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/7)\/6 + 3.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.018196 minus -84.398?\nAnswer: 83.379804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -12833366 in increasing order.\nAnswer: -12833366, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 118913 or 118923?\nAnswer: 118913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/15)\/((-4)\/(-1070)). What is the first derivative of -c - 48*x**3 + 107 + 121 + 64 wrt x?\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151726201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -113?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*b = -134*b + 179*b - 350 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*u - 16695 = 299*u + 209*u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 10*f**2 + 4*f - 3. Let t(c) = -21*c**2 - 9*c + 7. Let x(h) = 9*s(h) + 4*t(h). What is the first derivative of x(n) wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 27 + 2 - 5*p + 8. Let v be c(7). Solve v*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 9:34 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 4045*m**2 - 11 - 15.\nAnswer: 4045*m**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 5*z**2 - z + 1. Let d be u(5). Suppose -12 - d = 2*y. Let t = -72 - y. What is the highest common factor of t and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 1163*k + 38179. Calculate t(-32).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/5)\/(1*-2). Find the third derivative of -3*u**2 - 2*u**5 + 2*u**y - u**5 wrt u.\nAnswer: -180*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 23*s**2 + 6*s - 9. Let v(a) = -a**2 + a - 1. Determine b(p) - 6*v(p).\nAnswer: 29*p**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35470 - 35468.1416. What is m rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 9 (c) -27\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 104\/390 - (-308)\/(-930).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364173 is divided by 2160.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 436 = -11*t + 293 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69099*p - 69141*p - 69096*p - 69033*p + 345194*p - 69061*p.\nAnswer: -236*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -n**4\/3 + 7*n + 1073. Let l(k) = k - 3 - k - 10*k. Determine l(z(o)).\nAnswer: 40*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.1 + -0.9. Let y = 1295 - 1295.3. Which is the closest to 1? (a) y (b) -7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-63)\/6*98\/(-21)*6\/7. Solve 34 - 328 = k*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*m = -53*m + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 19*p - 3 + 28 - 1 - 24.\nAnswer: 19*p - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6448898 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155227791.\nAnswer: 3, 51742597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28930 divided by 2\nAnswer: 14465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 362431714969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77.7 + -82.7. Which is the biggest value? (a) 1.7 (b) i (c) -15\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - -2. Let g(b) = b**3 - 9*b**2 - 12*b + 25. Let c be g(d). Find the third derivative of 10*h**2 + c*h**2 + 24*h**3 - 5*h**3 wrt h.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 0 - 1\/4*t**4 + 0*t + 4*t**2 + 1\/2*t**3 + 1\/60*t**5. Calculate o(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 + -34 - -42) + (1 - -44).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -74653859 divided by 10664837?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -25*c**2 + 401*c - 598. Determine x(15).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508*c + 476*c = -10374176. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2326000 to the nearest 100000.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.4669*0.5.\nAnswer: -3.23345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 7*b)*(-16*b - 14*b + 41*b - 9*b).\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*y. Suppose -2*d - 2*d + r + 232 = y, -d - r + 63 = 0. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 - 5. Suppose -2*n - 2*t - k = -3*n, -t = -n + 10. Factor 2*c**3 - n*c**2 - 8*c + 3*c**3 + 16*c**2 + 13*c.\nAnswer: 5*c*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**5 - 780*z**4 + 10344*z**3 + 69052*z**2 + 49974*z - 128592 = 0.\nAnswer: -3, 1, 19, 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 5, 2\/7, -91, -5, 4 in ascending order.\nAnswer: -91, -5, 2\/7, 4, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a century in decades?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(9\/(-7)))\/((-4)\/12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1412595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 5*h + 260. What is the remainder when h is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15656.3 - 15656. Which is the fourth smallest value? (a) 12\/11 (b) h (c) 2 (d) -0.04 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 74132*i**6 - 2*i**4*r - 2*i**4 - 6*i**2*r - 5*i - 3*r + 887 wrt i?\nAnswer: 8895840*i**3 - 48*i*r - 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94656)\/(-3162) + 14\/217.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117164170?\nAnswer: 2, 5, 17, 689201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**24*u)\/u)\/(u**3*u)*((u\/(u\/(u*u*u*u\/u**6)*u))\/u*u*u)**(3\/10) assuming u is positive.\nAnswer: u**(-138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, s: 12}. Give prob of picking 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 + 2)*(-2)\/8. Suppose 0 = -2*t - 5*z + 16 - v, -2*t = z + 5. Let h = t + 8. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppp. Give prob of sequence pppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - a + 1 = -5*f, 5 = 5*a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 98.9. Suppose 4*l - 11 = -0*u + u, -3*l = 5*u + 9. Suppose 0 + l = 2*a. What is the nearest to a in -3, -0.2, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -13, 15, 2, 0 in ascending order.\nAnswer: -13, -1, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-6)\/(-8)*(-9)\/4 and (160\/132)\/(-2)*45\/(-24)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2464\/66)\/(-28)*-9*(-2)\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 7)\/(48 + -53)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/5 + ((-62)\/(-8))\/((-975)\/260). What is the second biggest value in l, 3, -2\/7, -5, -3\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 241. List the prime factors of i.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89129 + 89133. Suppose -6*k - 7\/2*k**2 + 3\/2*k**5 + 11\/2*k**u + 9\/2*k**3 - 2 = 0. Calculate k.\nAnswer: -2, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 7*w = 30. Let x(a) = -a**3 + 11*a**2 - 9*a - 8. Let v be x(w). Let n be ((0 - 0) + 0)\/2. Solve 2*j = -n*j - v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(-1) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -1.2. Let y = 0.2 - n. Let k be -2*(-1)\/(-2) + (-18)\/(-12). Which is the third biggest value? (a) y (b) 0 (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*u**3\/7 - 19730*u**2\/7 - 17076*u.\nAnswer: 2*u*(u + 6)*(16*u - 9961)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -2\/49, 0, 1\/4, -10?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 p, and 1 k when four letters picked without replacement from begbeeepekgppkek.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1433600 rounded to the nearest 10000?\nAnswer: -1430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 63514, 64767, 66020, 67273, 68526, 69779?\n\"Answer: 1253*y + 62261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 395 + -707. Find the common denominator of 2\/(-3) + o\/(-90) and ((-413)\/42)\/((-1)\/(-3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3478 + -3465. Let k be (3\/2)\/((-6)\/(-56)). Let j be 0 + 2 + -2 + k. Are u and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s - 25*s - 135656 = -4*h, 5*s = -4*h + 226072. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175100 divided by -2.\nAnswer: 87550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/11 + 10818*k\/11 - 5678924\/11.\nAnswer: 2*(k - 482)*(k + 5891)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 172 = -4*j. Let s = j + 101. Suppose 4*n - s = 2. Calculate the remainder when 55 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73308 divided by -12218.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.13 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -283277, -568679, -854069, -1139441, -1424789, -1710107, -1995389?\nAnswer: -2280629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together -163.836 and 18.\nAnswer: -145.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.5*4412.\nAnswer: 15442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -138884 divided by 3\nAnswer: -138884\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2 - 311340930*g + 311340935.\nAnswer: -5*(g - 1)*(g + 62268187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*v - l = 145, -5*v - 3*l = -741. Is 49 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7031 - -140. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123210133121 (base 4) to base 12.\nAnswer: -25065b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 1373, 4301, 9825, 18767, 31949?\nAnswer: 50193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m. Let g(v) = -5*v**2 - 147*v - 4. Give r(g(x)).\nAnswer: -5*x**2 - 147*x - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:42 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/(-3))\/14*3. Suppose 0*t = -2*t + 10, 0 = -5*j - t - 20. Let d = j + 5. Is d less than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28028 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0.0031, 3, 0 in descending order.\nAnswer: 3, 1\/5, 0.0031, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 23*y - 67. Let p be k(15). Is p at least as big as 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*l - 326411 = -325537 for l.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 h, and 2 v when four letters picked without replacement from {a: 1, y: 1, k: 1, j: 1, h: 1, v: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -656, -634, -606, -578, -556?\n\"Answer: -u**3 + 9*u**2 + 2*u - 666","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**13)**(5\/6)\/(t**(3\/13)\/(t\/(t\/t**40)*t)) assuming t is positive.\nAnswer: t**(4025\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 11:08 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5958 + -5945. Calculate the greatest common factor of 923 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 24*i + 8610. What is the derivative of i*b - 876*b - 40*b**3 - 239 + 297*b + 293*b wrt b?\nAnswer: -120*b**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 267862893?\nAnswer: 3, 19, 433, 10853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + 1417*p + 11198. Determine x(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 13 - 22 = 11*v - 9 - 10, -2*q - 4 = 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 2*f - 5, -5*y - f = -y - 7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 162*b**2 + 54. Let y(m) = m. What is y(v(z))?\nAnswer: 162*z**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f**5 + 9912*f**4 - 9898*f**3 - 7432*f**2 + 4950*f + 2476 = 0 for f.\nAnswer: -1\/2, 1, 1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 5*z - 10, -5*z + 0*z = -3*l + 22. Let i(a) = 3*a - 4. What are the prime factors of i(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -7*b + 3*b - 2, 5*c = 5*b + 25 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2 + 0 + 3*j - 4*j + 3. Let b be f(3). What is the second derivative of -1570*v**2 - 25*v - 15*v**5 + 1570*v**b wrt v?\nAnswer: -300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4519 - 4517. Let j = 3.04 + -0.04. What is the fourth biggest value in -1, -5, j, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -6308*r + 965143. Give x(153).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24475\/2 - 12239. What is the smallest value in d, -1\/3, 0, -3, 1\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/959723?\nAnswer: 2\/959723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 218166 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1095989 minus 3?\nAnswer: 1095986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b + 2. Let z be o(-3). What is the derivative of 15*s + 7 + 7 - z wrt s?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 - -33 - (6 + 29)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x - 5 = 21*x. Let y(j) = -46*j**3 - j**2 - 3*j + 4. Let i be y(x). Let n = i - -98. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + -2 + (-371 - -375)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:27 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(70\/(-8)) - 255\/140. Let w = 3 + -6. Which is the smallest value? (a) w (b) -0.2 (c) x (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5053, -10105, -15149, -20185, -25213?\nAnswer: -30233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**5\/9 - 4*h**4 + 982*h**3\/9 + 1144*h**2 - 163592*h\/9.\nAnswer: -2*h*(h - 13)**2*(h + 22)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 265728 and 173.\nAnswer: 265728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-6)*((-64)\/(-20))\/(-4)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 21*g + 840. Let f be x(-41). Let p(s) = -s**2 - 21*s - 2. Calculate p(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 53*v**2 - 3068*v + 423. Determine j(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -81\/1918 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 times 13551970?\nAnswer: -42011107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004102929 rounded to 6 decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/27 + (-302)\/18. Let h = -40 - -57. Let j = h + g. Solve -2*x - 18 = 2*x + l, j = 5*x - l + 18 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 14*r**2 + 16*r + 12. Let y be i(-15). Let a = 3 - 2. Put y, a, 0.4 in decreasing order.\nAnswer: a, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7758? (a) -0.5 (b) 2\/5 (c) 2\/9 (d) 3 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**4*m**2 - 411*h**4*m - 2*h**2 - 277*h*m**2 wrt h.\nAnswer: 48*h*m**2 - 9864*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - n + 2. Let v be z(0). Let q(h) = 3*h**2 + 6*h - v*h**2 + 23 - 19. Give q(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.771 - 3.571. Let j = -0.207 + 0.387. Put 2\/11, t, j in increasing order.\nAnswer: j, 2\/11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - 637?\nAnswer: -637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**5 - 126*t**4 - 29214*t**3 - 74*t**2 + 46976*t wrt t?\nAnswer: -60*t**2 - 3024*t - 175284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37294, 37314, 37348, 37402, 37482, 37594, 37744, 37938?\nAnswer: 38182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z**5 + 6*z**4 - 3*z**3 + 3*z**2 - 3. Let j(y) = 8*y**5 - 10*y**4 + 5*y**3 - 5*y**2 + 5. Let l(x) = -3*j(x) - 5*s(x). What is a in l(a) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -5*o - 4, 4*u - 5*o - 20 = 0. Let j(a) = -a + 11. Let g be j(-9). Suppose -z + g = z. Calculate the least common multiple of u and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = -3*v - 5*b, 3*v + 0*b + 79 = 4*b. Let u = v - -48. What is the remainder when u is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - t + 8. Let i be h(4). Is (-9)\/i - (-133)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1501 + -1429. What is the smallest common multiple of 16 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 47*m + 1456. What are the prime factors of w(4)?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.15 + -0.25. Suppose 2*s = s + 4. Let n = -1 + 3. Which is the closest to u? (a) n (b) s (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 261*y + 23532. Determine j(-94).\nAnswer: -1002","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0. Suppose -4*p + b + 19 = -3*i, -5*i = -3*p + 4. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4, -47, -146, -325, -608, -1019?\n\"Answer: -4*m**3 - 4*m**2 - 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t + 3 - 3 - 4*t + 1 - 1 + 0*t - 2*t - t + (6*t - t - 3*t)*(2 - 1 - 2) + t + 1 - 1 - 2*t + 0*t + 4*t - 3*t - 3*t + 5*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y + 6. Calculate i(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1098 = 156*s - 162*s. Is s > -184?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, u: 1, i: 1, a: 2, h: 1, z: 1}. Give prob of sequence zhua.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w**3 + w**2 + w. Let r be t(-1). Does 18 divide 24*(18\/(-8))\/r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 7*t**2. Let p(s) = 2*s - 2. Let j(x) = -4*x + 6. Let f(n) = j(n) + 3*p(n). Give z(f(b)).\nAnswer: 28*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 12:18 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -5, -6\/5, 83, 2\/83?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4*a = -5*t - 199, 0 = a - t - 65. What is the remainder when a is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 515*v**2 + 208*v - 12826. Let y(i) = -439*i**2 - 208*i + 12826. Let a(f) = 6*o(f) + 7*y(f). Differentiate a(w) with respect to w.\nAnswer: 34*w - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4*l**2 + 0)*(-4*l - 5 + 10 - 4).\nAnswer: 16*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -950*k - 3168 = -531*k - 491*k for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (-9 + 6 - -9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 0 + 39 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 329\/126165?\nAnswer: 329\/126165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-2 + -34 + 53).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 26500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 5*r + 9. Let q = 64 + -69. List the prime factors of k(q).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 3 + -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 35.7 - 35.6999698. What is n rounded to six decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 4*r - f + 8, 0 = -4*r + 5*f + 16. Let h(c) be the first derivative of -2*c + r + 0*c**2 - 8\/3*c**3. Differentiate h(u) wrt u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71*j**2 - 268*j**2 - 3461 + 3453 - 89*j**2 to l*j**2 + n*j + a and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a*a**(2\/5)*a))**29)**(-1\/43) assuming a is positive.\nAnswer: a**(348\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 at least as big as -6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1582 and 12?\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -856*y**2. Let n(c) = -21496*c. Determine n(u(w)).\nAnswer: 18400576*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 4*p - p + 13022 = 0, -3*p - 19527 = -3*i. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -30 (b) 1\/190 (c) -0.3 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 10*w**2 + 13*w + 12. Let a be o(-8). Suppose 6*i - 9*i = -a. Solve -9 = -3*l - v, -4*l + 5*v + i = -19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*j - 548 + 573. Solve x + 3 = j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4\/9 - 5908*q**3\/3 - 39338354*q**2\/9 - 104618864*q\/3 - 627146528\/9 = 0. What is q?\nAnswer: -4427, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in 0.14, 19, -0.1, 8, 1\/2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.89817056 rounded to two dps?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 134 and 16?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 750 = -6*a. Let k = a + 78. Let n be ((-1)\/(-3))\/((-5)\/(-3)). Put -2\/5, k, n in descending order.\nAnswer: k, n, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 304 - 3 - (-2 - -3) and 480?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47934 = -5*d + 4*l - 47881, -4*d - 3*l = -30 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 4, -1\/6.\nAnswer: -12, -1\/6, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n - 1. Let g(y) be the first derivative of -5 + 3*y + 2*y + y - 5*y. Determine -d(v) - g(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 a when four letters picked without replacement from {w: 1, a: 3, e: 4, z: 1, y: 2, k: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 313262*p - 624014 wrt p.\nAnswer: 313262","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*a + 125 - 62 - 53. Put a, 4, 19, -36 in ascending order.\nAnswer: -36, a, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c - 9. Let v be w(-7). What is the units digit of 0 - (v + 2 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 10:36 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q = -30*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 7) to base 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3.5, 2\/37, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 46. Suppose 5*y + 3*x + g = 0, -4 = -2*y - 3*y + 4*x. Solve m - 5*c + 16 = 0, -4*m + y*c = 4*c - 32 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 4*u**2 - 3*u. Let k(m) = 45 - m**2 - 45. Let w be (-21)\/15 + (-4)\/(-10). Let p(g) = w*q(g) - 2*k(g). Find the second derivative of p(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*j + 2*f, 4*j + j + 2*f = 17. Let l be (j\/75*5*25)\/(-1). Is -9 <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 20 = 3*f - 0*s, 5*s = -f + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 274087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 27 + 3 + 1 + -17 - -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4\/11 + 11548*r**3\/11 - 138918*r**2\/11 - 312472*r\/11 - 14728 = 0.\nAnswer: -5786, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -243 by 1.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3296000 rounded to the nearest ten thousand?\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 78*v**2 + 23*v. Let h(i) = 2*i - 4. Calculate k(h(t)).\nAnswer: 312*t**2 - 1202*t + 1156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m. Let b(k) = -2132*k - 286. Let v(f) = -30*f - 4. Let i(a) = -2*b(a) + 143*v(a). What is i(z(s))?\nAnswer: -130*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116578523?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7136401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1200 divided by -6\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 871304 and 871338 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 13*i + 9. Calculate w(-8).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25649 + -12866. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -6*x - 2. Let a be n(3). Let u = a - -55. Suppose -5*s - 3*b - 147 = 0, s + 2*b = -0*s - u. Which is smaller: s or -26?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 243*m**2 + 45506*m - 320. Determine p(-124).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 32\/(-12) - (-2)\/3. Let c be ((-18)\/4 - -3)*a. Let 8\/5*x**2 - 2\/5*x + 0 - 8\/5*x**4 + 2\/5*x**c = 0. Calculate x.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 297 - 832*p + 832*p - 297 - 28*p**2. Let w(q) = -3*q - 1 + 1. What is w(y(h))?\nAnswer: 84*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -284*s**2 + 53664*s + 2268 = 0. What is s?\nAnswer: -3\/71, 189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 6:50 PM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2307032, -2307034, -2307036?\n\"Answer: -2*n - 2307030","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k + 43*k - 594 = 0. Solve 5*g - k = -4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 13 + (110 - 148) - (-20 - -31)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 653*g + 834. Let r(l) = 2*l + 3. Let a(z) = -6*r(z) - w(z). What is the first derivative of a(m) wrt m?\nAnswer: -665","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1925*o - 13002 + 33891 = 111*o - 17795 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1610070 and 442595?\nAnswer: 3485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-24) + (-860)\/1032. Let d = 0.8 - 1.1. Let a = d + 0.2. What is the third smallest value in 0, a, y, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:50 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4128\/59507?\nAnswer: -4128\/59507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 1099 = 777. Calculate the highest common divisor of k and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and 87795?\nAnswer: 87811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 3*r - 1. Let h be u(1). Calculate the common denominator of 61\/15 and (1\/44)\/(6\/(-1464)*h).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252 = -3*m - 3*n - 264, 0 = -4*m + 2*n + 32. What is the nearest to 173 in -5, m, -2, 0.05?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9973519 + 4?\nAnswer: 997351d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182465364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 8*s**2 - 66*s - 8. Let p be v(-13). Solve -2*a - 28 = p*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a2f2 + 1?\nAnswer: -4a2f1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b - 26*b + 287 = -a - 59*b, -a + 5*a - 4*b = 168 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 r when two letters picked without replacement from {z: 2, k: 1, r: 3, e: 2, d: 2, a: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = -5*d + 5*i - 6*i, -3*d + 91 = -4*i. Let p(n) = 4*n**2 - 27 + 78 - 27 - d. Let s(l) = -3*l**2. Give s(p(o)).\nAnswer: -48*o**4 + 120*o**2 - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - 40, -361*l = -363*l + 3*b + 34 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 8) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104219 and 66127.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 + 24*k**2)*(0 + 0*k - 8 + k).\nAnswer: 24*k**3 - 192*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmyuyyuuubummuuymby. Give prob of picking 1 y and 1 m.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*s - 386*s - 3 = -2*u, -33*u + 37 = -4*s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21 minus 1010907.89?\nAnswer: -1010908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 29 + 37. Let p be (-10)\/k*(-2)\/(-1). Suppose -2*r = 4*j - 4*r - 124, p*j - 2*r - 156 = 0. What is j rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1613485, 6453971, 14521455, 25815937?\nAnswer: 40337417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 12. Suppose 0*v = 5*v - u*q, -3*v + 16 = q. Find the common denominator of 109\/12 - 1\/v and 6\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(6 - 8)*((-312)\/(-36) + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -98*h + 4401. What is p(45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 154\/264*((-1130)\/(-210) + -5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = a. Let j be 0\/((2 - a)\/2). Suppose j*v = -v + 9. Calculate the remainder when 16 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3820758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.6 + -2.6. What is the nearest to 3 in k, 1\/5, 2\/5, -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 8*i + 13. Let b be f(-7). Let w be (b - 1) + -8 - (-327)\/14. Let t = w + -527\/35. Calculate the common denominator of 45\/14 and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 51*g - 517. What is f(9)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/56)\/(-1))\/((-31)\/(-3069)*33)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3156, -3151, -3146?\nAnswer: -3141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in eleven halves of a minute?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 94774708723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/6)\/(165\/198)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2*s + 3*s = 0, 0 = 3*m + 4*s + 2. Suppose 0 = 5*d + m*a + 254, 5*d - 4*a + 240 = a. Let v = -4 - d. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 7*d - 5*v + 1896, 0 = -3*d + 3*v + 1872. What is the highest common divisor of 33 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 6*u + 14. Let x be v(-23). Let d = x - -388. Let q = -4 + 11. Calculate the least common multiple of q and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z - 1. Let i be w(-6). Suppose 0 = -d + i. Suppose 0 = -3*l - d*b + 4 - 23, -2*b = -l + 12. Solve -2*o + o = 5*f, 0 = l*o for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 72564.99 milligrams?\nAnswer: 0.07256499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**3 - 100*m**2 - 472*m.\nAnswer: -6*m - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 84, 131, 182, 237, 296, 359?\n\"Answer: 2*k**2 + 41*k + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004679 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 15. Calculate r(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -0.3 (c) -0.02561\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3 and -79\/114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 2?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14418 or -14431?\nAnswer: -14431","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -28400 (base 9) in base 15?\nAnswer: -5aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*q**2 + 47*q**2 - 95*q**2.\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h = 6, g - 85 = -2*h. Suppose 0 = -3*j + g - 24. What is the greatest common divisor of 133 and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r\/(((r\/(r\/r**5*r))\/r)\/r*r))\/r)\/(r**8\/r))\/(r\/r**1*r*r*r)**(-2\/25)*(r**8*r)\/r**(-3\/5)*(r**(-1)\/r)**(-13) assuming r is positive.\nAnswer: r**(671\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 6*i**2 - 4*i - 8. Let q be r(7). Let u(o) = o + 1. List the prime factors of u(q).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10233033 (base 4) to base 16\nAnswer: 4bcf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t*z**2 + 2*t*z - 134*t + 2*z**2 + 114*z + 142 with respect to z.\nAnswer: 6*t*z + 2*t + 4*z + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3040, -3057, -3074, -3091, -3108, -3125?\n\"Answer: -17*z - 3023","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 t when two letters picked without replacement from {t: 2, b: 9, j: 2}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.0107.\nAnswer: -0.00535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(2\/17)\/(y**4*y))\/(y**(-7)\/(y*y\/(y\/y**(-6\/5)))))**(-19) assuming y is positive.\nAnswer: y**(-3097\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*y + 2*y. Let a be (-9)\/(y\/44)*-13. Let v = a + -75. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47960 - -47965. Solve 10 = -3*d - 4*j - 1, -t*d - 3*j - 11 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -387 divided by 4\nAnswer: -387\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3325700 = 58*w - 15*w + 97*w. List the prime factors of w.\nAnswer: 5, 4751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-30)*3\/2. Which is smaller: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -346974042 or -346974043?\nAnswer: -346974043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.7 - 0.7. Which is the nearest to -1\/4? (a) -4 (b) u (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 9*n + 69, 0 = -8518*n + 8515*n - 5*w - 79 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*b + 18*b + 11*b)*(3*b**3 - 3*b**3 + 2*b**4).\nAnswer: 74*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 597\/386984 + -2902110283\/3086197400. Let m = w + 6\/319. Let u = 161\/50 + m. Find the common denominator of u and 4\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 111135 and 111123 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 - 38. Let d be k\/42 + 2\/(-7). Suppose -18*p + 21*p - 9 = d. Solve t = -0*t - p for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0482373 to two decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 354*k - 805*k + 352*k)*(-2*k + 2 - 2) to l*k**2 + m + y*k and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-85)\/272*14)\/(31\/(-248)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2412 + -53.324131\nAnswer: -53.082931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 3*d**2 + 2*d**2 + 0*d**2. Let f(l) be the third derivative of -1\/20*l**5 + 22*l**2 + 0 + 0*l**3 + 0*l**4 + 0*l. Give f(k(m)).\nAnswer: -12*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 834702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -229, -891, -1973, -3457, -5325, -7559, -10141, -13053?\nAnswer: -16277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 + 321. Let a = -370.2 + j. Let v = 47 + a. What is v rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 PM and 7:17 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 22*u**2 + 3*u + 14. Calculate the lowest common multiple of f(22) and 40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61 - 52. Suppose -k + r*k - 328 = 0. Calculate the remainder when k is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, y: 3}. Give prob of sequence zzyz.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from {m: 1, q: 6, c: 1, x: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/(-99)*30\/(-250)*(-45)\/2?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173331 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8358)\/133 + -1607 + 1670?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -127\/3 (c) 5 (d) 0.2 (e) 942 (f) -3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 l when four letters picked without replacement from {l: 3, k: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35\/24 + -1\/24. Sort -1, -57, p in increasing order.\nAnswer: -57, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by (-2448)\/(-26) - 1\/((-338)\/(-52))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f + 10. Let c = f - -5. Is 2\/33 <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 36.98. Let j = -0.02 - g. Sort j, 0.4, -2\/15 in descending order.\nAnswer: 0.4, -2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-4) + (-333)\/(-36). Let x(o) = -y + 32*o - 9 + 3 - 28*o. Let i be x(-3). Which is bigger: -26 or i?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**4 - 821*p**3 - 102?\nAnswer: 8*p**3 - 2463*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 799551473629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8732 - 8731.9. Let t = -0.4 - -3.4. Let d = 4 - t. Which is smaller: r or d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.5 + -39. Let r = 2.5 - x. Let n = r - 13.011. What is n rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**4\/24 - a**3\/6 - 2652*a**2. Let t(b) = 2*b**2 + b + 1. What is -2*l(s) - t(s)?\nAnswer: -2*s**2 + s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/6 - 2\/(-6). Let r = 26.2 - 24. Let i = r + -0.2. Which is the second biggest value? (a) v (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 224237200 to the nearest integer?\nAnswer: 14975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15881190 divided by 73866?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 53309343 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 773781.5mg to tonnes.\nAnswer: 0.0007737815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18623106 greater than or equal to 18623107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**6\/12 - 17*k**5\/30 + 4*k**4\/3 - 4*k**3\/3 - 20*k**2. Factor u(s).\nAnswer: 2*(s - 2)*(s - 1)*(5*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 259*y = 261*y + 2*w + 11752, 4*y - 4*w = -23528. Which is bigger: -5877 or y?\nAnswer: -5877","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*96526.\nAnswer: 96526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**32\/f*f*f**34*f*(f\/f**(-1)*f)\/(f*f**(-2\/37)) assuming f is positive.\nAnswer: f**(2592\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 185 = 2*g - 77, -4*v + 400 = 3*g. Calculate the greatest common factor of 48 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4421, -4802, -5167, -5516?\nAnswer: -5849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(13\/5)*(d\/(d**(4\/9)\/d))\/d)\/(d**(-2\/15))**20)**(2\/5) assuming d is positive.\nAnswer: d**(146\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -6354 (base 7) to base 2\nAnswer: -100011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 d when three letters picked without replacement from nreeqeqeqqereede.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -72 (b) -1\/2 (c) 0.0795\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 1. Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q = -4*i - 16, -2*i = 2*q + 8. Let b be ((-1 - q) + 5)\/2. Suppose b*v + 30000 = v. Round v to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237 + 239. Let i(o) = -2*o + 0*o + o**x + o + 4 + 4*o. Let m(j) = j + 1. What is -i(v) + 4*m(v)?\nAnswer: -v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence acc when three letters picked without replacement from {c: 7, a: 6}?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12.69089 - 8256.76089. Let a = u - -8278. Let f = 2.17 + a. Round f to the nearest integer.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*2 + sqrt(90))\/sqrt(9) + 4*sqrt(1440))\/((sqrt(6) + sqrt(216)\/sqrt(4))\/(sqrt(36)\/(sqrt(24)\/sqrt(2)))).\nAnswer: 51*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 10*a**2 - 13*a. Let y(x) = -x**2 + x. Let f(g) = 4*j(g) + 44*y(g). Solve f(r) = 0 for r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/39 + (2 - 15\/9).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12241253531 + 13?\nAnswer: 12241253544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7\/3*f**5 - 80\/3*f**2 - 52\/3*f**3 + 0 + 8\/3*f**4 + 0*f.\nAnswer: f**2*(f + 2)**2*(7*f - 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10508 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2872 = -7*k + 2907. Let z(d) = 19*d. Let w(v) = 18*v. Calculate k*z(j) - 6*w(j).\nAnswer: -13*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(24)\/(sqrt(24)\/(sqrt(2) - sqrt(32))).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281630 is divided by 93831.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.55 and -260.7452.\nAnswer: -258.1952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.08 (c) 8.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145608 and 10356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1339\/10 - -134. Which is the third biggest value? (a) -0.1 (b) o (c) -1\/3 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**7\/84 + k**6\/20 - k**5\/30 - 4*k**2. Factor a(f).\nAnswer: -f**2*(f - 2)*(5*f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*f**2*x**3*z - 856*f**2*x**3 - f**2*x*z - 2*f**2 - 17*f*x**2*z - 2*f*x**2 + 4*z wrt x.\nAnswer: -60*f**2*z - 5136*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100013333 - 2312011?\nAnswer: -102332010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11))**(8\/5)*(s\/s**13)\/s*s**(2\/21) assuming s is positive.\nAnswer: s**(-3203\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-394499994)\/15 + (-116)\/290. What is f rounded to the nearest 1000000?\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16895 and 124.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32\/(-24)*18)\/10.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -26*y**2 - 5 + 9*y**2 - 47*y**2 - 9 wrt y.\nAnswer: -128*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10572\/7 + -1510. What is the closest to q in -0.3, -2, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1.502.\nAnswer: 2.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*g + 168 = 76*g. Is 48456\/g - (-6)\/21 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -51 + 127. Let r = o - 40. What is the smallest common multiple of (-9)\/36 - (-534)\/24 and r?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243*i - 9*i**2 + i**2 - i**2 - i**2 - 123*i - 118*i.\nAnswer: -10*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 64*u + 220.\nAnswer: 4*(u - 11)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 7 + -1 + -1. Let v(z) = 8*z + 5. Let n be v(7). Suppose 16 - n = -c*u. What is the highest common factor of u and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2 - 3*d**3 - 1 - 62259*d**2 + 62263*d**2 + d + 1. Let z(p) = -3*p**3 + 3*p**2 - 2. What is 2*l(v) - 3*z(v)?\nAnswer: 3*v**3 - v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -209*d**5\/5 - 5237*d**4 - 861687*d**3\/5 - 2578787*d**2\/5 - 686128*d\/5 - 44652\/5 = 0. Calculate d.\nAnswer: -61, -3, -2\/11, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -392*c + 387*c - 2*i = 10, -2*c - 36 = 4*i. Let k = 31 + -6. Suppose -4*n - n = -k. Solve c*o - o = n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.957438 millennia to months.\nAnswer: 119489.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -20, 2\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xumfxbxbxubxxfxubf. Give prob of picking 1 x, 2 u, and 1 f.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 485396956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 340 - 476. Let z = o + 160. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 2931208.68.\nAnswer: 2931208.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 80*c**4*t**2 - c**3*t**2 - c**3*t - 3*c**2*t**2 + 26*c**2*t + 2*c*t**2 wrt c?\nAnswer: 1920*c*t**2 - 6*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2068004 and 628?\nAnswer: 2068004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5 - (-1600 - (-6 + 2 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 27*h - 3. What is b(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/(-4))\/(22\/(-33)). Let c(a) = 27479*a**3 - a**2 - a + 1. Let r be c(1). Suppose v*n - 4694 = f, 5*f - 3982 = 2*n - r. Round f to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 64, 0, -6\/577, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 437, 232, -199, -970, -2195?\n\"Answer: -19*g**3 + g**2 - 75*g + 530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(2 - 0) - -2. Suppose -3*i = -0*x + 5*x - 31, -5*x + 2*i + 21 = 0. Solve a*m + x = -11 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -213, -0.07, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 + 40. Calculate the remainder when 87 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*g**3 + 67*g**3 - 34*g**3 - 32*g**3 - 29*g**3.\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190079287?\nAnswer: 1190079287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.26 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25.617 - 25.66. Round w to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 33*c - 52. Let q be 8\/(-10)*40\/(-16) + -3. Let d(p) = p. Let m(s) = q*u(s) + d(s). Differentiate m(b) wrt b.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1564*v + 6 - 605*v + 1662*v + 5 + 11*v.\nAnswer: 2632*v + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by 5?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 377 = 3*o - 1811, 0 = 6*n - 36. What is the remainder when 1472 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (1 - (-364)\/(-6 + 2)). Suppose 6*t + b = -58. Is -24 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 2232?\nAnswer: -2234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d39 + -25?\nAnswer: d14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h + 1041 = 1105 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99)\/sqrt(9) + sqrt(77)\/(sqrt(7)*-5) + 3)**2.\nAnswer: 54*sqrt(11)\/5 + 1116\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7525493 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -7) + 10 + -6 + -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v**2 + 5*v**2 - 4*v - 19*v - 4*v**2 to the form m*v**2 + o + t*v and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -2\/27 (c) -2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*h - 403*h + 192*h + 4.\nAnswer: -8*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22.3 * -6670.\nAnswer: 148741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*t**3 - 8*t + 2*t - t.\nAnswer: -172*t**3 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 6*l**2 + 69*l + 114 = 0.\nAnswer: -19\/2, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010111 - 101?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1186 is divided by 724?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 equal to -76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747230 is divided by 417.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5267.83 + 5295. Let y = 27 - z. Let k = y + 1.57. Round k to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 260*s + 926. What is r(-133)?\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1766483726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 80*q - 573. Calculate p(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen sevenths of a week in days?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 3. Suppose -4*l - 2*j = -2, -3 - 6 = -3*l - 3*j. Let w be p(l). List the prime factors of 5*(w - 2) - -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4, c - 47 = 3*o - c. Suppose 13*t - 1486 + 733 = -714. Sort t, o, -5 in descending order.\nAnswer: t, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/7 + 226*c + 4683 = 0 for c.\nAnswer: -1561, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 442\/25 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 take away -63?\nAnswer: 62.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3266430 to the nearest ten thousand.\nAnswer: 3270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, n: 11}. Give prob of sequence fnfn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n. Let y(d) = -2. Let l(b) = -3*b + 54. Let c(g) = -2*l(g) - 54*y(g). What is x(c(o))?\nAnswer: -108*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 24*y - 77*y - 3*y. Let p(v) = -v. What is p(b(u))?\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50230*p**3 - 58261*p wrt p.\nAnswer: 301380*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*z + 186, 0*o + o - 5*z = 14. Suppose -o*b + 31*b = -111. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -3 (c) 0.2 (d) 1\/9 (e) -473 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 5:06 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + (-1 - 1) + 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1072*i = 14487 + 33753 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (5 - (-8 + (6 - -6)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79436323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of q**7\/840 + q**6\/180 + q**5\/40 + 5*q**4\/6 - 35*q. Let y(b) be the third derivative of o(b). Let h = -10 + 8. What is y(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*m + 3*m + m)*(60 + m - 60)*(2 - 2 + m) + 2*m**3 + 0*m**3 + 0*m**3 in the form t*m + i + k*m**3 + j*m**2 and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 6*j + 130 + 0*j**2 - j**2.\nAnswer: 4*j**2 + 6*j + 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/15*-1*(-450045)\/1233?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126*k + 127*k - 369*k + 119*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*(n*n**6)\/n*((n*n\/(n**(-2\/13)*n))\/n)\/(n*n*n**(-6)*n))**(12\/11) assuming n is positive.\nAnswer: n**(1428\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(-2)\/(-6)*-1 - -3. Let i(h) = -h**3 + 7*h**2 + 7*h - 86. Let l be i(t). Let k = 1\/491 + 579\/197873. Which is smaller: k or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -1\/10 (b) -4 (c) 0.07 (d) -39\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*h + 81 = 0, -o + 3*h + 30 = -6. Sort -4, 1, o, 4, 3 in descending order.\nAnswer: o, 4, 3, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -230 (b) 483 (c) -2\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + h - 48 = 2*h, 0 = 2*a - 3*h - 27. Suppose 4 = a*k - 5*k. Let z be -8 + 11 + k*(-2 - -5). What is the greatest common divisor of 54 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((0 + 0 + sqrt(1053) + sqrt(1053) - sqrt(1053))*1)**2 + -1.\nAnswer: 1051","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 12:00 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -130 (base 12) to base 6.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i*j - 2*i + 8*j**2 + 1 wrt j.\nAnswer: 3*i + 16*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3)\/y)\/y*y)**(5\/6)\/(y**36\/(y*y**(4\/29)*y)) assuming y is positive.\nAnswer: y**(-9128\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 37227?\nAnswer: 37223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-560)\/168)\/(1\/(-48)) is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 657804109*f**5 + 158501771*f**2?\nAnswer: 39468246540*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1666)\/6188*4\/(-4)*2.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101024112 (base 5) in base 7?\nAnswer: 26032561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 241051882*f**3 - 315423165 wrt f.\nAnswer: 723155646*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1318045 - 1334.3501955. Let g = -1336 - t. Let w = 1.5 + g. Round w to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -25*x**3 - 2*x**2 + 2*x - 1. Let f be s(1). What is the units digit of 117\/f*(-16)\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 2 = -2*f. Let d(h) = 5*h - 5. Let t be d(6). Suppose 6*l - l = t. What is the remainder when f is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5357177?\nAnswer: 7, 89, 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/2*(-3)\/(-12). Suppose 0 = -7*t + 3*t + 8. Suppose t + 1 = -i*s. Let f(z) = 11*z**2 + z. Calculate f(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326 = 111*n - 3044 - 404 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -116 - -1046\/9. Let x be 1*((-40)\/(-18) - 2). Determine f so that -n*f - x*f**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.49? (a) -45 (b) -5 (c) 4\/13 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1)*m)**5)**(-32) assuming m is positive.\nAnswer: m**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5 + sqrt(152)\/sqrt(8) - (-2*sqrt(931) - (sqrt(95) + 2*sqrt(95) + sqrt(95))\/sqrt(5)))**2.\nAnswer: -38*sqrt(19) + 6860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/3 (b) 0.9 (c) 0.037 (d) -0.01 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.835686927 - 2?\nAnswer: 11.835686927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 570 + -568. Find the third derivative of -11*f**3 - 5371*f**4 - 89*f**r - 7*f**3 + 5370*f**4 wrt f.\nAnswer: -24*f - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1208 - 34*p**3 + 12*p**3 + 2426 - 1218.\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-620)\/31*4\/(64\/24).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 5 - -5) + -7.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(833))**2 - (sqrt(612) - (sqrt(612) + -1)) - sqrt(136)\/(sqrt(648)*4 - sqrt(648)))*-2.\nAnswer: -1665 + 2*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/12 and (-486)\/(-96) + 0 + -4.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*f**2 - 6*f**2 - 12*f**2)*(5*f - 15 + 15)*(f + f + 0*f) to t*f + b + r*f**2 + d*f**3 + a*f**4 and give a.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3585 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x - 5. Let z(l) = 8*l - 4. Let a(d) = 4*s(d) - 5*z(d). Let r(v) = 3 + 7*v**2 - 2 - 1. Determine r(a(k)).\nAnswer: 112*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229636*u**4 - 20*u**3 - 6870038*u**2?\nAnswer: 5511264*u - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(1 + sqrt(208) + 0 + sqrt(208) + -5) + (-2 + ((1 + sqrt(208))*-2 - sqrt(208) - sqrt(208)))*-5)*6)**2 + 0.\nAnswer: 129024*sqrt(13) + 1504512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 20314204 - 0?\nAnswer: 20314204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of -o**4\/24 + 5*o**3\/6 - 2*o**2. Let t be m(8). Let r be 1 - (3 + t\/1). Which is greater: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693097742.\nAnswer: 2, 346548871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 10. Let k be j(7). Suppose 3*u = k*u - 2520. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5818 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 - 7*o - o**3 + 2*o**3 - 8 - 6*o**2 + 13*o. Give h(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 146 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202111122 + 12?\nAnswer: -2202111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m**3 - 85*m**2 + 5*m - 39. Is 22 a factor of n(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16106194 divided by -30914\nAnswer: -521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1490, 1387, 1274, 1145, 994, 815, 602, 349?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) - 4060\/45. Let p = 1860 + -1767. Let i = p + c. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.1 (c) 58\/13 (d) -0.05 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6802263, -6802268, -6802275, -6802284?\n\"Answer: -w**2 - 2*w - 6802260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18 + 34 - (8 + 4). Let y(j) = 15*j + 3. Calculate y(f).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 46108\/36987 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.034 + 0.266. Let x = -0.05 + -0.45. Let h = -67 - -471\/7. Which is the closest to h? (a) 5 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 10}. What is prob of picking 2 b?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 292220 is divided by 431?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189 + 194. Suppose 2*h - 3*h = z*u - 39, -3*h - 3*u = -57. Let w be 2\/4 - (-111)\/2. What is the highest common factor of w and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (5 + 0 + -5 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13356, -26698, -40006, -53262, -66448, -79546, -92538?\nAnswer: -105406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -155 at least as big as -154?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -2*k**4\/11 + 1226858*k**3\/11 + 8*k**2\/11 - 4907432*k\/11 = 0.\nAnswer: -2, 0, 2, 613429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44ddb + -1?\nAnswer: -44ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2 - 9*o - 18 - 3*o. Let l(c) = -8*c - 13. Let g(r) = 5*h(r) - 8*l(r). Let z be 3\/(-2)*(-2)\/1. Determine g(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 47941844*j*w - 367514*w + 1 wrt j?\nAnswer: 47941844*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -9664, -9665, -9666, -9667, -9668, -9669?\n\"Answer: -f - 9663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -17\/7 (b) 1 (c) -6 (d) -5\/3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1120\/84 - 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565 = 240*o + 8525 for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -269976*a**6*x**3 - a**3*x**3 - 15*a**2*x**3 - 216*a**2*x wrt a?\nAnswer: -32397120*a**3*x**3 - 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167 + 166 - 43*n + 11*n)*(4*n + n + n).\nAnswer: -192*n**2 - 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(4\/(-8) + 2\/(-8)). Let o(t) = 11*t + 6. Let v(g) be the third derivative of 5\/24*g**4 + 0 + 1\/2*g**3 - 4*g**2 + 0*g. Give f*o(b) - 9*v(b).\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233810.\nAnswer: 2, 5, 103, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11665.\nAnswer: 5, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 190 + 228 - 2*f - 466 in the form s + a*f and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 5*m**2 + 7*m - 3. Suppose 3*q = q + 12. Let o be l(q). Find the second derivative of -6*f**4 + o*f + 0*f + f**4 wrt f.\nAnswer: -60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1885524?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17*h**3 - 9*h**2 + 10*h + 2. Let g be 12\/78 + 2\/(-13). Suppose -5*y + 0*y + 35 = g. Let p be j(y). Round p to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + w**5\/20 + w**4\/24 + 7*w**3\/6 - 122*w**2. Give l(5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 207 + 363. Suppose 4*l - l - q = 0. Let o be l\/45 + (-4)\/18. Solve -o*p - 10 = 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**7\/35 - 11*r**6\/60 + r**5\/6 + r**4\/4 - 29*r**2\/2 + 166. Let p(u) be the second derivative of q(u). Factor p(h).\nAnswer: 2*h*(h - 3)*(h - 1)*(3*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 17 = 4*t, 459*k - 1 = 454*k + t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 112?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29113 + -4.17363.\nAnswer: 29108.82637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 6268.1?\nAnswer: -6268.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0488 - 0.36.\nAnswer: -0.4088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -421, -640.\nAnswer: -640, -421, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.2 + 2. Let h = 73.8 - 74.8. Let z = -35 - -35.3. What is the nearest to v in 0.5, h, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122010001111000 + -1?\nAnswer: -122010001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (140\/21 + -7)*381. Which is smaller: -125 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, -1, -1785.\nAnswer: -1785, -10, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 678*n + 820*n - 6898 - n**2 - 6923 + 26*n + 13821.\nAnswer: -n**2 + 1524*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (16\/(-40)*(0 + 5))\/(1*12). Is n greater than 0.517?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128 (base 9) to base 3.\nAnswer: 10222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -6, -0.3, -1\/9, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45854675 is divided by 732.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + 1123a7?\nAnswer: 11239d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 3)*4\/(-6). Suppose l + 15 = -s*l. Let f = l + 7. Solve 0 = h - f for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 19017*b - 1231839. Determine x(65).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - c)*(-278*c**2 + 22*c**2 + 42*c**2).\nAnswer: 214*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1755485528\/7 less than or equal to -250783648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 + -8. Let k = -188 + 202. Let i = n - k. Which is smaller: 0.3 or i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/150 - (1 - 1). Do q and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (((-49)\/6)\/(-49))\/(14\/(-12)). What is the fourth biggest value in 3\/4, -1\/4, 0.4, d, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/sqrt(64))\/sqrt(3)*-2.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001587759 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5119*c = 5098*c + 273 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + w = 5*h - 1950008, -2*w = 4. Suppose -h = 7*m - 4*m. Round m to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36639831, -36639827, -36639823, -36639819, -36639815, -36639811?\nAnswer: -36639807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - 3. Let b be (1 + 1 - -114998)*a. What is b rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 43*x - 3. Is i(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1248249133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -7. Let d = 0.8 + x. Let o = 66139\/6 - 11023. Which is the nearest to -2\/7? (a) o (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/2 (b) -4.4 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 16 = -3*s - s, -3*n - 5*s = 22. Is n > -8\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10458 + 1577.\nAnswer: 12035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54 by -426151.\nAnswer: -54\/426151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -264162 divided by 6?\nAnswer: -44027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -168*p**4 - 3526*p**3 + 61194*p**2 - 178136*p + 2112 = 0?\nAnswer: -33, 1\/84, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 3, o: 7, t: 3}. Give prob of sequence tut.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -157*i - 252. Let s be w(-6). Round s to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 922 a factor of 20517266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2120122 (base 3) to base 7\nAnswer: 5324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2394, 20568, 69904, 165984, 324390, 560704?\n\"Answer: 2597*j**3 - j**2 - 2*j - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36683 * -0.4.\nAnswer: 14673.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = 76. Let j = u - -1. Suppose 425 = 25*w - j*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 4, -1\/9, 0.1 in descending order.\nAnswer: 4, 2\/7, 0.1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (3 - (-4 + (0 - 17)))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r\/(r**(2\/11)*r*r*r))*r)\/(r\/r**(-17)))\/(r**(-2\/17)*r\/r**(-17)) assuming r is positive.\nAnswer: r**(-5928\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 3) + 4 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3574 - -17278. What is the thousands digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26936 is divided by 850?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 + 2444805*k**2\/4 + 4889607*k\/4 + 2444803\/4.\nAnswer: (k + 1)**2*(k + 2444803)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -22104*p + 6187. Is x(-70) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 225, -0.2, 1\/4, -8?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 - 3 = 0. Solve -3*x - o + 8 + 11 = 0, -35 = -c*x - 5*o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -600 + 232. What is the common denominator of -79\/130 and (5\/(-6))\/(16\/s)?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2205*r + 28 = 2233*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/381 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10398968 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 + 32 = -5*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -22. Let i = 27 - m. Solve -4*y - 2*y - i = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avzaveavav. What is prob of sequence zea?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7428b (base 12) to base 7.\nAnswer: -1203326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -3817.4.\nAnswer: 381.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 973849*m - 15581578. Determine i(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:32 AM?\nAnswer: 10:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 12 = m, -1345233*m = 4*l - 1345185*m + 628 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6578594?\nAnswer: 2, 11, 299027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1012 and 261349.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5556.645g in kilograms?\nAnswer: 5.556645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3\/9)\/((2\/(-6))\/1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -17*v - 8. Let j be n(-12). Let y = j - 101. Suppose -2*p = -12*m + 17*m - y, 0 = -3*p - m + 110. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14322 - -2?\nAnswer: -14320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + q + 3*q - 4*q. Let n(v) = -2*v. Calculate s(n(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-24)\/(-16863303)) - 1. Let h = -701374 + z. Let c = h - 1259. Find the common denominator of 47\/4 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87957?\nAnswer: 3, 29, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cttz when four letters picked without replacement from {d: 1, a: 2, t: 5, z: 3, p: 3, c: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 513\/2, -0.4 in decreasing order.\nAnswer: 513\/2, 0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 527 - 505. Calculate the lowest common multiple of i and 38.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -502 + 417888677\nAnswer: 417888175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47930 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 62422 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 h(y) = y**2 + y + 37. What is the units digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1940\/109 or 19?\nAnswer: 1940\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -2\/69 (c) 0.9 (d) 3 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*t**5 + 8\/7*t**3 + 4\/7 - 8\/7*t**4 - 10\/7*t + 4\/7*t**2.\nAnswer: 2*(t - 2)*(t - 1)**3*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 7*q - 2. Let d be t(-8). Let o be 1\/(-4) - 10\/(-40). Let w(k) = -k**3 - 3 + o - 3 - 2 + 7*k**2 - 4*k. What is w(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 354070888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.584241m in millimeters?\nAnswer: 5584.241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 125 - 125.000355. What is d rounded to 5 dps?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2611807445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 0*w + 2*w + (-3 - 3 + 5)*(-2*w + 0*w + 5*w) + 12 - 12 - 2*w + 2*w + 1 - 1.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2424623, -2424653, -2424681, -2424707, -2424731?\n\"Answer: s**2 - 33*s - 2424591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 4, 10, 3 in ascending order.\nAnswer: 3, 4, 10, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2320 and 491144.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18010072 divided by -34?\nAnswer: -529708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + t - 2 = -0*t, 0 = -y - 3*t - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 5*l + 17489 + 24853, u - 3*l - 21170 = 0. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 578?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5 - 4. Let h = -0.12 - -4.42. Let o = 4 - h. What is the smallest value in o, v, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -15\/4*s**2 - 21\/2*s + 3\/4*s**3 + 0 = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1080728926.\nAnswer: 2, 540364463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 10*n**2 - 12*n. Let s(d) = 4*d**2 - 5*d. Let u = -4 + 1. Let h = 2 - u. Give h*g(w) - 12*s(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 + 4 - -5) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 1 + 1)*(22*w**3 - 24*w**3 - 2*w + 9*w)*(-2*w + 3*w - 4*w).\nAnswer: 12*w**5 - 42*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 325*h - 644*h + 392*h to g + b*h and give b.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2.31 + -14027238709\nAnswer: -14027238706.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -6. Let m(n) be the first derivative of 0*n + 1\/10*n**4 + 0*n**i - 2\/25*n**5 + 4 + 2\/15*n**3 - 1\/15*n**6. Find l, given that m(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 + -42. Calculate the remainder when j is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.59887703 rounded to two dps?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*s + 2 = 0. Suppose -5 + s = -q. What is the third derivative of q*u**3 - 2*u**3 + 7*u**2 + 2*u**3 - u**2 wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-54) - (-5886)\/99144.\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 - ((-7 - (-1 + 0 - 10)) + -10) - -3.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*a = 43*a - 3. Let s = 9 + a. Suppose -856 = -s*b + 290. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -12*p. Let w be b(-1). Suppose -7*l + 3*l + 8 = 0. Suppose 4*i = l*h + 2*i - 10, -5*i = 5*h - 5. Solve w = 3*x + h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 1:23 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1633 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/10, -2, 0, -112 in decreasing order.\nAnswer: 1\/10, 0, -2, -112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p**5 - 25*p**4 + 144*p**3 - 344*p**2 + 368*p - 144 = 0. What is p?\nAnswer: 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 13 = 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -380567*0.95.\nAnswer: -361538.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 12. Let h(j) = j**3 + 6*j**2 + 6*j + 1. Let u be h(-4). Let v be c(u). Suppose v*z - 46 = n + n, -2*n - 4 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (181594\/68)\/49 - (-2 + 3\/2) is divided by (0 - 1)*(-4 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -10*z**3 - 2*z**2 + 24*z + 25. Let a be g(-1). Let m(j) = -2*j - 33. Determine m(a).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 88 = -106. Suppose 0*r = -y + 5*r - 9, -r - w = 5*y. Let l = 24 + y. Solve -l*n - 3 = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -904434, -1808867, -2713300?\nAnswer: -3617733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 10*y + 8. Let x be v(-6). Let i be (x\/(-25))\/(2\/(-5)). Solve 0 = -5*r + 4*l - 3, 4 = r - 3*l - i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:46 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*o + 115858 = -430. Calculate the remainder when o is divided by 79.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 8*i - 27 = 4*i, -3*j = 4*i - 3. Let b be (-4)\/2 - 54\/j. Let o be (50\/(-15))\/((6\/(-72))\/1). Calculate the highest common divisor of o and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 412 - 203. Suppose 0 = -r + 4*f + 66 - 20, 4*r = -4*f + 244. Let i = r - 39. Calculate the highest common factor of i and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14485 greater than -14483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3\/8, -0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/19, 4, -1.2, -1380 in descending order.\nAnswer: 4, 6\/19, -1.2, -1380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27\/125 + 2\/125. Suppose n - 4*i - 6 + 1 = 0, 37 = -4*n - 3*i. Which is the fourth biggest value? (a) n (b) -1 (c) -0.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w - 18*w + 10478 = 0. What is the second derivative of -s + 160121*s**2 + w*s**5 - 4 - 160121*s**2 wrt s?\nAnswer: 6760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 9690 (c) 13 (d) -0.5 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g**3 - 2 + 1\/2*g**4 + 0*g + g**2. Find the second derivative of a(f) wrt f.\nAnswer: 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of 0*a**4 - 23\/6*a**6 + 0*a**5 + 0*a - 8 + 0*a**3 + 11*a**2. What is the second derivative of k(c) wrt c?\nAnswer: -460*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/60 and -1\/22.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 8*k**2 + 13*k - 3. Let n(x) = -x**2 - 8*x - 2. Let d be n(-7). Suppose 36 = 4*m - 5*p, d*m + 5*p - 24 = 21. What is the tens digit of a(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*-5*1 + 5\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -45*f**4 - 316*f**3 + 1793*f**2 - 1940*f - 44 = 0. Calculate f.\nAnswer: -11, -1\/45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - 740?\nAnswer: -73d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/7 - 27847060*m**2\/7 + 96932343830450*m\/7 = 0.\nAnswer: 0, 6961765","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 320*c**2 + 151*c + 732. List the prime factors of l(-5).\nAnswer: 3, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + 62 = 191 + 143 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2020301232 (base 4) to base 9\nAnswer: -1043446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -172, -232, -330, -478, -688, -972, -1342?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10342.3509 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bmbibcccicbmmymm. Give prob of picking 1 i and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -13232*l**2 + 876*l + 232. Let v(h) = 6617*h**2 - 439*h - 107. Let p(a) = -13*v(a) - 6*z(a). Find the second derivative of p(y) wrt y.\nAnswer: -13258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.9 times -2?\nAnswer: 33.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -31, 1, 4 in ascending order.\nAnswer: -31, 1, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19 + ((-135)\/36)\/((-15)\/20)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36807?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuppp. Give prob of sequence uupu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50.2 - 6.\nAnswer: 44.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51719 - 517073\/10. Let q = 630 - 1053. Let m = -763\/2 - q. Calculate the common denominator of m and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + c**2 + 13*c + 16. Let g be u(-8). Let r = g - 266. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = q - 3*q. Let h = 7 + q. Put 4, h, 3 in decreasing order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32 = 3*m, -24 = -3*i - 0*i + 3*m. Let a(h) = h - 1. Let z(y) = 4*y - 5. Let c(q) = 5*a(q) - z(q). Let p be c(i). Solve 7*r - 3*r = p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1572220 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(((r*((r*r**(-2\/15)\/r)\/r)\/r)\/r*r*r)\/r))**(-10)*r\/(r\/(r*r**(-1)*r*r))*r*r**16 assuming r is positive.\nAnswer: r**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 16*r**2 + 55*r - 27. Let a(b) = -7*b**2 - 27*b + 13. Let l(c) = -9*a(c) - 4*i(c). What is the units digit of l(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 305 (base 10) to base 12.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1752.99998181 + -1753. What is l rounded to seven dps?\nAnswer: -0.0000182","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 o, and 1 f when four letters picked without replacement from eocejoojcoscccscf.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, d: 5, l: 8, r: 2}. What is prob of picking 2 r and 1 m?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -997*r**3 + 28*r**2 + 126*r + 13. Is n(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -65 - 5646 + 8*m**2 - 3660 - 10*m**2 as i*m**2 + a + k*m and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 58*i**2\/3 + 130*i + 150.\nAnswer: 2*(i - 15)**2*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1037197, -1037172, -1037151, -1037134, -1037121?\n\"Answer: -2*o**2 + 31*o - 1037226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 530210 is divided by 265069?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4055858, 16223358, 36502522, 64893350, 101395842, 146009998, 198735818?\n\"Answer: 4055832*i**2 + 4*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -7*o**3 - 17*o**2 + 3*o + 13. Let s(c) = 3*c**3 + 9*c**2 - 2*c - 7. Let q(v) = 2*r(v) + 5*s(v). Is q(-11) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*y = -3, -19*y - 33 = -4*u - 22*y. Let f be (10\/6)\/(25\/u). Find q, given that 40 + 8*q + f*q**2 = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16 + (0 + 4)\/2. Suppose -4*j + g = -2. Suppose 0 = j*o - 0*o. Solve v - 1 + 0 = o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 6*c**3 - 2 + 15*c**3 + (2 - 2 - 1)*(-2*c + 2*c + 2*c**3) - 48*c**3 + 0*c**3 + 16*c**3 as d*c**3 + y*c**2 + p*c + f and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v - 52 = -d + 17*v, -v = -d + 36. What is the remainder when 103 is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -35 and -202087.\nAnswer: 7073045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 447049235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -39?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7488.905g to milligrams.\nAnswer: 7488905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 306 = 2*i, 2*i - 3*c = 157 + 159. What is the greatest common divisor of i and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -2.9 (c) 10 (d) -3 (e) 0 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d)**(-1\/2)*(d\/d**(-1))**(-3\/7) assuming d is positive.\nAnswer: d**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 1365\/125 + 28\/975.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + 2 - (-12 - (-35 + 57) - -18).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 232715516 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -21*t**2 + 12*t + 18. Let u(z) = -4*z**2 + 2*z + 4. Let y(v) = b(v) - 5*u(v). Let w(j) = 3*j**2 - 5*j + 7. Give 4*w(c) + 14*y(c).\nAnswer: -2*c**2 + 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -6*u**2 + 1. Let g be q(1). Put -2, g, -3 in decreasing order.\nAnswer: -2, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134*d + 138*d - 399*d + 127*d - 23*d**3.\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 5*t**2 + t + 4. Let j(a) = a**2 + 10*a - 6. Let r be j(-11). Calculate l(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 37 - 48 + 0*r - 20 + 6 - 3*r**3 to the form p*r**3 + i*r + h + s*r**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -11*f. Let y be j(-7). Let i = -29 + y. Suppose 0*x + i = 4*x. What is the greatest common divisor of x and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3539*b + 76140. What is a(20)?\nAnswer: 5360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 30*(3\/20 - (-1)\/4). What is the remainder when 113 is divided by 3*(-4 - -6)*26\/g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 11000100000?\nAnswer: -11000100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -310 + 316. Solve 3*g = 3*u - p, -2*g = -4*g + 5*u + 2 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7864 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6021.658 weeks in microseconds?\nAnswer: 3641898758400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -50, 69, 4, -5, 3, 1 in decreasing order.\nAnswer: 69, 5, 4, 3, 1, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 26, -1\/6, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/9 - 2140*x\/9 + 36150.\nAnswer: -2*(x - 135)*(x + 1205)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a century?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.90769493 - 36202.80772693. Let x = a + 36207.9. Let f = 6 - x. Round f to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 4, -3, 50 in ascending order.\nAnswer: -3, -1, 0, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19223 is divided by 740?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3 - 1) + (4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*r + 504, -3*r - 3*l + 2*l = 370. Let q = -73 - r. What is the remainder when q is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/11 - 14*p**3\/11 - 23*p**2\/11 - 16*p\/11 - 4\/11 = 0. What is p?\nAnswer: -2, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8156047?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 264.70422 hours to days.\nAnswer: 11.0293425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/9)\/(g**0*g)*g\/(g*g**6)*g**(-2) assuming g is positive.\nAnswer: g**(-79\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d + 858 = 741 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65 = -25*a + 12*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, -2\/11, 563, -0.4, 2 in increasing order.\nAnswer: -0.4, -2\/11, 1\/9, 2, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 300 = 4*v - 0*v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39653\/29 + -1367. Let w = -8\/145 - m. Which is the second smallest value? (a) 2\/11 (b) w (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-108)\/2106)\/(2\/(-6))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4*o**2 + 2. Let n be s(-2). Let g = n + -8. Suppose -2*b + 3*k - 1 = 0, 0*k = 3*b - 5*k + 3. Solve b*h - g = 6*h - 2*p, 4*p = -h + 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 4 = 3*d, 44*c + 50*c - 7 = 4*d + 89*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 86275 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/430 and -117\/20.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i**2 - i - 1. Let w(b) = 48*b**3 + b**2 + b + 1. Give 3*m(c) + 3*w(c).\nAnswer: 141*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -513 times 5.7?\nAnswer: -2924.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89291449?\nAnswer: 13, 389, 17657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p. Let c(r) = 0 - 3 + 15*r - 195*r - 83*r. Calculate c(z(w)).\nAnswer: 526*w - 3","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 + 6*j**2 - 2*j + 15. Calculate o(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 97*r**4 + 689*r**3 - 689*r**3 + (-r**2 + 11*r - 11*r)*(21*r**2 - 6 + 4 + 4).\nAnswer: 76*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/124 and 23\/8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279093*h**3 - 50411*h + 2?\nAnswer: -1674558*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - -1)*(-34)\/6. Let z(g) = -g**3 - 20*g**2 - 8*g - 103. Let h be z(-20). Let x = h - b. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/7 - 1909718*v**2 - 6382289969167*v = 0. What is v?\nAnswer: -6684013, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (((-31)\/(-186))\/((-145)\/(-1044)))\/((-6)\/230)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 99 - 20. List the prime factors of q.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 - -24. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = -56. Suppose 3*o + 2 - a = 0, -2*k - 4*o - 16 = 0. Let w = k - -25. What is the greatest common factor of 72 and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1849510163?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n - 24. Let s(y) = -421*y + 1272. Let r be s(3). Give g(r).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Suppose -10 = -0*w - 2*w. Suppose -2*i - 15 = i + 3*y, w*y - 31 = 3*i. Give o(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 3)*(3*f + 3*f - 7*f) - 4*f + f + 5*f)*(8*f + 7*f - f)*(-4 + 11 - 3).\nAnswer: 168*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -0.1, 0, 2\/9 in increasing order.\nAnswer: -45, -0.1, 0, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92479 is divided by 30748.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f - 2 = 0. Let i = f + 1. Find the common denominator of -2 + 86\/24 + i and 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 440*k - 7*k**4 - 994*k**2 + 269 + 1576\/3*k**3. Factor j(v).\nAnswer: -4*(v - 55)*(v - 1)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8158*h - 358923. Determine c(44).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-6 - -7) - -6) + (0 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 15709aaa?\nAnswer: -15709aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d + 136. Let i be k(0). Calculate the highest common factor of i and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -240*b*k**3*l**2 - 3*b*k**2*l**2 - 10*b*k**2 - 2*k**2*l**2 wrt k.\nAnswer: -1440*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.8 less than 2405953755?\nAnswer: 2405953681.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46999.47 litres in millilitres?\nAnswer: 46999470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 720e (base 15) to base 4\nAnswer: 11320121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 3:17 AM?\nAnswer: 2:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 493 - 495.876. What is z rounded to 2 dps?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 12*o - 17. Let l be g(-10). Solve -5*j - u - 3 = l, 2*j + 7 = -5*u for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80.2 + -80. Which is smaller: x or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + -35. Let t = -5 - y. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (119\/1309)\/(1 + 240\/(-242)) - -16?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 609 a factor of 302092171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18662724?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 1 + 3)*(16*n + n - 4*n + ((0 - 1 + 2)*(2 + 2 - 5) + 0 - 2 - 2)*(1 - 1 - 2*n)) to d*n + c and give d.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -204?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 122915 and 65.\nAnswer: 122915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 1) + -1 + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = 39273 - 39403 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-15)*11\/((-363)\/18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (34 + 9114\/(-245))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**8\/2016 - a**7\/630 - a**6\/240 + 20*a**2 - 2*a. Determine n so that b(n) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 15\/7 + 10\/(-70). Suppose 2*y = w + 1, -3*y - 2 = -w - s*y. Solve 4*h - 1 = w*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -68274688762423\/292623853620 - 1\/701735860. Let k = -27925 + 83075\/3. Let h = k - w. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3352515694*v + 18*v**3 + 3352515694*v.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0*g**7 + 0 + 0*g + 0*g**3 + 7\/60*g**5 + 0*g**4 - 2*g**2 - 5\/336*g**8 + 0*g**6. Find the third derivative of j(q) wrt q.\nAnswer: -300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t**2 + 3*t**2 - 6*t**2 - 7*t**2. Let j(r) = -5*r + 3. Let i(s) = -26*s + 16. Let z(l) = -3*i(l) + 16*j(l). What is a(z(v))?\nAnswer: -84*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12524699 is divided by 329?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 10*d + 105 + 187 - 58 = 0, 3*d + 107 = 2*b for b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3818?\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-3 + 2 - -2) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-165)\/66*(-48)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + sqrt(252)*-2)*5)\/sqrt(4)*4 - (-2*sqrt(14)\/sqrt(2) + sqrt(7) + -5 - (-4 + -2*sqrt(700))**2).\nAnswer: 101*sqrt(7) + 2821","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -21.06, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -601\/5, 23\/3, 81?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and 5157.67757985.\nAnswer: 5157.97757985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 23 - 19, -j = 4*u for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 14*o + 44. Determine z(16).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 194 + -4?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 22 = -5*g + 58. Let b(q) be the first derivative of -g*q - 1\/4*q**4 - 8 + 3\/2*q**2 + 2*q**3. Give b(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88325241107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = w. Let g be 15 - -1 - 0\/w. Let t(m) = -m**3 + 82*m**2 + 36*m - 2896. Let k be t(82). What is the greatest common factor of g and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/(-56)*48\/(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*l + 220 = 0, -96 = -b + 4*l - 20. Let p = b - -126. Let i = p - 49. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -6.9. Let s = h + 1.1. What is the third smallest value in s, 0.3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 319 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2401*z - 3541. Let g(t) = -800*t + 1178. Let m(j) = -8*g(j) - 3*y(j). Differentiate m(b) wrt b.\nAnswer: -803","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-184)\/552 - 10\/(-21).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 410*y + 48*y = 1220 - 9922 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1333022 (base 4) to base 9.\nAnswer: 12142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 181 in increasing order.\nAnswer: 4, 6, 181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a + 4. Let t(q) be the second derivative of q**5\/20 - q**4\/6 - 5*q. Let g be t(2). Suppose 5*j + 4 - 19 = g. What is o(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.31 - -1.71. What is the fourth biggest value in -0.4, 3, -0.1, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 62*c - 874. Give u(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -880 divided by 176\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggsgssssggss. What is prob of picking 2 s?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - w + 5*g = 57, 3*g - 76 = -4*w. Suppose 5*n = z - 21, -103*z = -100*z - 4*n - 19. What is the biggest value in 2, w, -0.4, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2752059120 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4)\/3)\/(101\/(214524\/9440))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 189.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 55 = 4*l, 0*l = -2*l + 4*j. Let i be 6 + l + 9*1. Solve 4*o = -2*x + x + i, o - 14 = 4*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 40 = 5*c, 0*k - 62 = -4*k - 2*c. Suppose -5*w = -k - 5. Solve 0 = 3*n + 3*y + 3, 2*n = -w*y for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 3*j = 5*p, 2*p + j = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 517 and 17860?\nAnswer: 196460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -23. Let j be 4*(d\/(-6))\/(-7). Determine w so that w**4 - w**3 - 6*w - 3*w**j + 6*w + w**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 27*u + 254. Give g(-26).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2\/7 - 9904*f\/7 - 2832.\nAnswer: 4*(f - 2478)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.74 + 1.34. Sort -4, q, -0.14 in ascending order.\nAnswer: -4, q, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*k + k - 4*w, -4*k = -5*w - 43. Is -6 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*t - 2*t - 16*t + 7*t in the form b*t + c and give b.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-15)*20\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -154, -308, -462, -616, -770?\n\"Answer: -154*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5687, -5684, -5681?\n\"Answer: 3*g - 5690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 182 + -104. Let x = w + -70.6. Round x to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -264*q + 15730. Let k(a) = 11*a - 660. Let w(b) = 143*k(b) + 6*s(b). Let t(x) = 130*x**2. What is t(w(c))?\nAnswer: 15730*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 8 = -0*i. Let s be (2 - 0)\/(i - -3). Let p be ((-3)\/2)\/(s\/20). Calculate the highest common divisor of 30 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 26 = -8. Suppose 0 = 19*f + 4*f - 92. Put j, f, 5, 6 in descending order.\nAnswer: 6, 5, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -16*s. Let a be y(1). Let l(k) = -k**3 - 14*k**2 + 13*k + 15. Let n be l(a). Is 1*n*(-3 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 5*d + 70 = -32*w, -4*d = 20. Suppose 439*n = 442*n - w. Solve n*q - i - 5 = -4*i, -5*i + 3 = 3*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 5:59 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**3 - 2*c**3 + 2*c**3)*(5*c**2 - 3*c**2 - 3*c**2) + 2*c**4 - c**5 - c**5 + 0*c**5.\nAnswer: -4*c**5 + 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 5*m + 5*m - 2*m = -8, -13709*f + 13706*f + m + 14 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 179008.679 rounded to the nearest 1000?\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252447436 is divided by 103.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-6*(3 + sqrt(363) + sqrt(363) + -2 + sqrt(363)))**2 - (-5*((2*sqrt(27))**2 - sqrt(27)) + 3)).\nAnswer: 2361*sqrt(3) + 118183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511541 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -21*f**4 - 883*f**2 + 38*f - 3843341?\nAnswer: -84*f**3 - 1766*f + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4471, -17897, -40275, -71605?\nAnswer: -111887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 224 + 6616?\nAnswer: 10143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 280 = 5*k. Calculate the highest common divisor of k and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 10, 10*a - 7*a - 85 = -2*x. Suppose 0 = 5*c - 4*c - 7. What is the remainder when a is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 7. Suppose 10*k - 8*k - 14 = 0. Is o smaller than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 - -82. What is the closest to -1 in -5, -3, m?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.211 and -14750.\nAnswer: 17862.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5794568, 2, -3\/5 in descending order.\nAnswer: 2, -3\/5, -5794568","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 10*n**3. Let o be z(1). Let b be 3\/9 - o\/3. Let d be (92\/6)\/((-2)\/b). Solve 2*m + 5 = -t + m, -d = 3*t + 5*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101010010111 (base 2) to base 8.\nAnswer: 25227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x**3 - 5*x**3 + 6*x**3.\nAnswer: 18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 133 (b) -0.4 (c) -2\/3 (d) -403\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 3*a + 21 = 0. Let f be -3 + (1477\/104)\/a. Let j = f + 39\/8. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -7*a - 4. Let i be d(-3). Suppose 16*m = 6*m + 170. Let s = i - m. Solve -v + s = -5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.083 in 1, 0.4, 0.1, -0.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/2 - 0)*((-2852)\/345 + 8)?\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 0.3 (b) -2\/5 (c) 2\/5 (d) -2.3186\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(65)*-4)\/sqrt(5))**2 - (0 + (4*sqrt(39) - sqrt(39))\/sqrt(3)).\nAnswer: -3*sqrt(13) + 5200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 26*w**2 + 7447*w - 51210. Determine f(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448560969?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42212.16 nanoseconds to minutes.\nAnswer: 0.000000703536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1020361 (base 7) to base 13.\nAnswer: 43a8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 16 + 5. Let u be 1\/(-5) - i\/(-5). Let y(g) = -g**3 + g**2 + 3*g - 2. Let v be y(u). Solve v*s - 12 = -3*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, 0, 0.3, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 9660.01 to the nearest 10.\nAnswer: 9660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*a - 15, -14 = -251*g + 248*g - a for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18280 and -0.1?\nAnswer: -1828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 24. Suppose -j + 7 = -q. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**8\/14 - u**4 - 18*u. Find the third derivative of t(w) wrt w.\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 284.2119ng?\nAnswer: 0.0000002842119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 10}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n + 3. Let g = -57 + 36. Let k = -32 - g. Let b be ((-3)\/(-2))\/((-6)\/16). Let s(h) = -8*h - 8. What is b*s(w) + k*u(w)?\nAnswer: -w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2463*(-5)\/(-60)*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 20 = 8*m. Suppose -m*a - 65 = -2*v - a, 2*a - 15 = -v. Let d(g) = -2*g**2 - 34*g + 2. Let k be d(-17). Solve -6*o - q = -o - v, -k*q = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1811150 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -2, 0, 13, 4, -1687?\nAnswer: -1687","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -512*v = -528*v. Let g = -2 + 1. Let m be g - (3 - (1174 + v)). What is m rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/1953 (b) 0 (c) -3 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b**5 - 450*b**4 + 3*b**2 - 4*b + 80 wrt b?\nAnswer: -180*b**2 - 10800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:51 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/21 - (-261)\/(-7). Let t be n\/(15\/4 + -4). Suppose 0 = -2*x + 4*x - 4*z - t, 3*x + 5*z = 189. Does 17 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 613126 and -112.\nAnswer: -68670112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l + 3. Let a be m(0). Let i(x) = -x. Suppose -4*r - 1247 = -5*j, -r - 158 = 5*j - 1390. Let p(y) = 3*y - j + 247. Determine a*p(t) + 7*i(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*b**5 + 11*b + 55*b + 417*b**5 + 70*b wrt b?\nAnswer: 7620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -x - 1. Let h = 9 + x. Find the second derivative of h*t**2 - t**2 + 2*t + t**2 wrt t.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -35 (b) -14 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000314345156 rounded to 7 decimal places?\nAnswer: 0.0000314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.914358cm in nanometers?\nAnswer: 29143580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615*t**3 + 918*t**3 - 301*t**3.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -u + 4*u. What is the smallest common multiple of u and -12 + 8 + 2 - (3 - (36 - 3))?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.897665l in millilitres?\nAnswer: 1897.665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 701942 (b) 1\/8 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 8*l - 54. Let i(c) = -c + 1. Let a(t) = h(t) - 6*i(t). Suppose 0 = o, 0 = -y + 3*o - 5 + 23. List the prime factors of a(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 6:35 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1989528 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38 + -42. Let y be 24\/116*(-1)\/4*c. Is y at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -16670, -33385, -50102, -66821, -83542, -100265?\n\"Answer: -x**2 - 16712*x + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 61.021. Let t be ((-4)\/(-12)*6)\/(0 + 7). Is i != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 628 - 412. Calculate the remainder when g is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233021102 (base 4) to base 15.\nAnswer: -3c33b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24013.982843 + 24014. Round z to 3 decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 14)*32\/(-40)*165\/2772?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h - 3*h + 2*h)*(-5*h + 21*h + 10 - 10).\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -328*f = -7230 - 1954 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -149657*i**4 - 347067.\nAnswer: -598628*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-2)**2 + sqrt(2) + sqrt(2450) + ((-1*sqrt(18) - sqrt(2))**2 - sqrt(54)\/sqrt(3)) + 2.\nAnswer: 33*sqrt(2) + 1186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {l: 1, j: 1, q: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 1958*h - 461416.\nAnswer: -(h - 1684)*(h - 274)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 9:32 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)\/(j\/(j\/(j**0*j*j)))*j**(2\/9)\/((j\/j**9)\/j) assuming j is positive.\nAnswer: j**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 385017 divided by -18\nAnswer: -128339\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 269da - 12?\nAnswer: 269c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 12, 1, 7, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f**2 + 3*f**2 + 2 + 0*f**2)*(-f + 3*f - 7*f)*(-2124*f**2 + 992*f**2 + 940*f**2).\nAnswer: -960*f**5 + 1920*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1494731, -1494742, -1494759, -1494782, -1494811, -1494846?\n\"Answer: -3*p**2 - 2*p - 1494726","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 959 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2003618?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.8 + -16.7. Let c = -6 + 0. Let s = n - c. What is the third biggest value in s, 3\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122 times -1.08\nAnswer: -131.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 z, and 1 i when three letters picked without replacement from vizyvivvizvviv.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*a + 2*d - 30, -26 = 5*a - 4*d. Let i be (138\/9)\/((-8)\/(-6))*a. Let v = 35 + i. Which is smaller: v or 49\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -5*c + 165, -4*c - 56 = -5*c - 4*l. Let z(a) = -111*a + 3 + c*a - 2. Is z(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 442494367?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - 7*t + 1. Calculate s(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 98 = 56. What is the units digit of 14\/d*(-9 + 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 255\/10)*(-8)\/30?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.144056 rounded to 1 decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 21 - 6 + 4 + 0 - 3 + (3 + 1 - 2)*(1 + 4 - 3))*(-5 + 5 + 2)*(-1 - 1 + 0)*(2 - 2*l**2 - 2) to h*l**2 + s*l + f and give h.\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1705 + 245 = 134*p + 12*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -29*f - 5. Let w be l(-2). Find the first derivative of -w*b - 27 + 134*b - 49 wrt b.\nAnswer: 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 15*t**4\/4 + 5*t**3\/3 - t**2 - 118*t - 179. Find the second derivative of s(w) wrt w.\nAnswer: 90*w + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2511682260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -3*m**4\/4 + 112*m**3 + 339*m**2\/2 - 232. Suppose g(s) = 0. What is s?\nAnswer: -1, 0, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 5*n = 5*b - 20, -48 = -5*b - 2*n. Suppose -2*i - 2*i = -b. Solve -5*l + i*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*g + 5*r, r - 3*r = -4. Let p = 1.5 + 6.5. What is the biggest value in p, -1, 3, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -542, -1953, -4304, -7595, -11826?\n\"Answer: -470*u**2 - u - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -59. Let n(y) = 7*y - 18. Let z be n(a). Let -j**2 + 0 - 1\/2*j**5 + 0*j + 1\/2*j**z + j**4 = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, o: 6}. Give prob of sequence qqqq.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25679*t + 25687*t = 8. Let s(d) be the third derivative of 57*d**4\/8 - 2*d**3\/3 - d**2. Is s(t) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/2 of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, i: 6, r: 2, k: 3, w: 2}. Give prob of sequence wyki.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1183 and 182?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9543 + -33288?\nAnswer: -24845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 1 - 110*q**3 - 13*q**2 + 31*q + 39*q**3 + 33*q**3 + 37*q**3. Calculate s(-15).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 480*n**2 - 2*n**2 + 1.\nAnswer: 478*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 + -30183198\nAnswer: -30183198.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 1)*(72*l - 44*l - 42*l) + 0*l + 0*l - l to the form n*l + v and give n.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315*a + 4741 = 331 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*t**2 + 2*t*v + 391729*t + 74170*v - 47 wrt t.\nAnswer: -34*t + 2*v + 391729","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 14389395\nAnswer: 1\/4796465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -4554 and 0.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-8) - (-27)\/(-14))*518\/(-888).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 i when two letters picked without replacement from yyisgiscr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126.9 + 127. Let w = 5.1 - b. Let u be (-21)\/(-28)*16\/66. Put u, -3\/2, 0, w in increasing order.\nAnswer: -3\/2, 0, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216867 is divided by 54194.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, -4, -5, 1 in descending order.\nAnswer: 16, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3725077 is divided by 460.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-85)\/(-2)*(-9)\/(-15). Let y = m + -26. Let i be (-2 + 6 - 3)*(1 - 0). Which is the biggest value? (a) i (b) y (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 3:52 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 4*p**2 + 2*p - 5. Let a be x(4). Suppose a*c = 11 + 4. Solve -4*b = -3*m + 11, 0 = 4*b - 2*m + 1 + c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9.68 + -9027\nAnswer: -9017.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -1, -2, 66, 4, 5 in increasing order.\nAnswer: -2, -1, 4, 5, 26, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 127230 divided by 5\nAnswer: 25446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 divided by 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2, 3, 0.07, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**4 + 1 + 609*x - 1453*x - x**2 + 1953*x as p*x**2 + j + g*x**4 + i*x + z*x**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y + 36 = 0. Let r = -560 - -585. Solve 4*u - r = y*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 27 + 30 + 0*z + z - 10.\nAnswer: z + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2920 divided by 584.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 36 = -8. Let o = 34 - k. Calculate the greatest common factor of 40 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8357 times -0.11854?\nAnswer: 990.63878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h = 18*h + 70 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16267166 * -0.4.\nAnswer: 6506866.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -86*n**2 - 23*n + 27. Let y(d) = 21*d**2 + 5*d - 6. Let k(h) = 2*i(h) + 9*y(h). Let s(a) = 28*a. Calculate k(s(o)).\nAnswer: 13328*o**2 - 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90312 and 830616?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxx when three letters picked without replacement from {p: 1, g: 2, x: 6, u: 3}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -52520627568 + 0?\nAnswer: -52520627568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/18135 and 38\/6941025?\nAnswer: 215171775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 93332 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18003 divided by 83?\nAnswer: 18003\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -352 + 355. Suppose -3*z - b + 13 = 2*z, -5*b + 21 = a*z. Solve -4*s + 4 = -4*c + 24, z*c - 14 = 4*s for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/(-38))\/((-10)\/(-25)*7)?\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136547510?\nAnswer: 2, 5, 11, 1241341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35383, -35386, -35393, -35404?\n\"Answer: -2*k**2 + 3*k - 35384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + l + (4 - 5 - 1)*(3*l - l - 4*l) - l + 4*l - l - 51*l - 267*l - 77*l)*(6 - 1 + 3).\nAnswer: -3104*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.6214389 millennia?\nAnswer: 7457.2668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4420 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04166 - 444041.\nAnswer: -444040.95834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (4 + -6 - -8)) + 71 + 11 + 29\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**2 - 13*b + 12 = 0. What is b?\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 - a + 2. Let f(x) = 2*x**2 - 43*x - 12. Let w(l) = f(l) + 6*r(l). What is the second derivative of w(j) wrt j?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -335 - -338. Suppose -3*t - 12 = -k*z, -9 = 5*t - 4. Solve -3*q + 2*w - 15 = 6*w, -4*q + z*w - 20 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34611254 (base 8) to base 5\nAnswer: 3412311140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-400)\/(-18) + (-34)\/153. Let d = 27 - w. Solve 5*x + 2*f = 5 + 7, 2*x = d*f + 28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1434382*s**5 + 1000148*s**2?\nAnswer: -86062920*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22899503?\nAnswer: 11, 19, 109567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4380 + 9017. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -99733 * -5\nAnswer: 498665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 2. Let v = q + -10. Let f = v + 13. Solve s + 5 = -3*t, 4*s = 3*t - 0 - f for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 2563584*o**2 - 547730224188*o + 28475040148464.\nAnswer: -3*(o - 427238)**2*(o - 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.727 rounded to one decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 9. Is (0 - 6)\/(f\/35) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -1\/3*m**3 + 0*m - 2*m**2 + 1\/12*m**4 + 0. Let k be o(4). Solve 5*g + k - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5469, -5435, -5443, -5499, -5609?\n\"Answer: -i**3 - 15*i**2 + 86*i - 5539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1021833 and 8174664.\nAnswer: 8174664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of -t**3 + t**2\/2 + 5*t - 2. Let k be d(-6). Let j = -74 - k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + -3)*6*(-24)\/16. Let m = j + -9. Is m less than -2\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t. Let k(i) = 400*i**2 - 2*i. Give d(k(p)).\nAnswer: -400*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1425, 2891, 4357, 5823, 7289?\nAnswer: 8755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/9 - (-2)\/(-6). Let c = y + -6. Let s be 3 + 5 - (c - -2). Solve 0 = 4*h - 0*h - s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - b - 14*b to p + h*b and give h.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 107231752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6146 + 0*l - 2*l + 688 - 803.\nAnswer: -2*l - 6261","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 14 - 2. Suppose -5*j = -2*j - 15. Suppose 0 = -j*l - p*o + 3387, -5*o = -0*o + 20. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r = -10*r - 4. Let s(p) = -5 + 3 + 86120*p + 13881*p. Let t be s(r). What is t rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*i - 216*i**3 - 203*i**3 + 61*i + 430*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -30, 4, -4, 3, 3358 in descending order.\nAnswer: 3358, 5, 4, 3, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 309?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 3*s + 25, o + 5*s - 6 = -o. Solve -3*r + 7*r + 5*z = 0, 0 = r - 2*z + o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22738 divided by -11369.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 195988 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-36))\/((-5029)\/141)?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 12*q + 5*q + 7*q.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -55*(1 + (-2 - -2)). Let r be ((-12)\/4)\/(2*12\/16). Put 4, -5, r, a in increasing order.\nAnswer: a, -5, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x. Let u(r) = -7389718*r + 1. What is m(u(k))?\nAnswer: -7389718*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - 1 - -6*20\/330. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*m**3 + m**2 + 147*m + 3*m**3 - 2 + 11*m**2 - 60*m wrt m.\nAnswer: 6*m + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 2) + -5 - 1250\/(-200)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1285 or 1284?\nAnswer: 1285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 + 5*c - 2. Let p be n(4). Let d = p - -30. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9866 - 9866 - 1061*a to the form o + i*a and give i.\nAnswer: -1061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.031952 centuries?\nAnswer: 0.1031952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n = -2*r + 2, 0 = 2*r - n + 7. Let a be ((-116)\/87)\/(r\/18). Solve 10 = -2*d - 2*o, -3*o = -4*d + a + 3 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.9, -29, -3\/2, -1\/3, 3\/4 in decreasing order.\nAnswer: 3\/4, -1\/3, -0.9, -3\/2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3*g - 2)*(-2 + 2 - g) + 0*g**2 + 0*g**2 + g**2 - 2*g**2 + g**2 + 0*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -351462 (base 7) to base 11\nAnswer: -43381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117054 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.338287 rounded to one decimal place?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, -28.4, -4, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -239, -183, -53, 181, 549, 1081, 1807, 2757?\n\"Answer: 5*r**3 + 7*r**2 - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5015 = -963*u + 5199 + 4420 + 6552 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 1:58 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of 1\/12*s**3 + 0 - 1\/48*s**4 - 5*s - 1\/8*s**2. Suppose p(x) = 0. What is x?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4983139?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -13*k**2 + 203*k + 957. What is u(19)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f + 404742*f**2 - 202366*f**2 - 201836*f**2.\nAnswer: 540*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x**2 + 1411*x - 49016. Determine q(157).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113786 and 6.\nAnswer: 341358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 539 divided by 2.\nAnswer: 539\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 937744 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 5*j + 10 = -0*j, 0 = -3*m + 2*j + 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 146 is divided by (-5434)\/(-104) + -53 + (-2)\/8*-199.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5378*w + 1925 = -5301*w. What is the remainder when 623 is divided by w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/4)\/(45\/90)*42\/(-18)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -21, -51, -97, -165, -261, -391, -561, -777?\n\"Answer: -p**3 - 2*p**2 - 17*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**3 + 315934794*n**2 + 741438346*n.\nAnswer: -6*n + 631869588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 295 = 2*l, 2*g - 3*l - 591 = 2*l. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d - 30 = 5*r, -4*d + 1410 = 1430 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, h: 14}. Give prob of picking 2 h and 2 q.\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/6)\/(70\/(-20))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -4 + -4 + 2*(sqrt(1300) - (1*sqrt(1300) + sqrt(1300))))**2*-1.\nAnswer: -5344 - 480*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 - -44 - (0 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28965135?\nAnswer: 3, 5, 1931009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 6*q + 5. Let l be g(-5). Let w = l - -3. Let r = 1.87 + -1.67. What is the closest to r in w, 5, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.1 (b) 2\/7 (c) -1\/12 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 19657087?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -4*q - 20. Let x(k) = 9*k + 39. Let p(f) = -11*j(f) - 6*x(f). Differentiate p(s) wrt s.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, 0, -2\/5.\nAnswer: -4\/5, -2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -712283 + 1033365. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-2 + 3) - (127 + (-135568)\/962)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 + 2.92. Let p = 0.4 + -0.7. Let b = 0.04 - -0.36. What is the closest to r in p, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-36) - (-3)\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96348.39s to milliseconds.\nAnswer: 96348390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*w + 10*w + 2 + 9*w + (-3 + 2 + 2)*(3*w + 3*w - 4*w) - 4*w - 5 + 5 - 1 + 1 - 2*w - w + 3*w - 4*w to the form p + a*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from xxxxxwxxxxxxx?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5318, -10613, -15904, -21191, -26474, -31753?\nAnswer: -37028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -186 - -191. Factor 50 + 35 + 35*b**2 + 30*b - p*b**4 - 136 + 51.\nAnswer: -5*b*(b - 3)*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 2, 4, 8, 14?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u + u - 17*u = -4*u + 295 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 60. Let g = -112705.499994 + 112715.5. Let u = g + d. What is u rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 891188827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006507028676 rounded to five decimal places?\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - -0.5. Let d = -0.02 + -1.98. Which is the nearest to d? (a) -2\/7 (b) q (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*a - 3 + 84 = 0. Solve -2\/5*f + 0 - 2\/5*f**4 + 2\/5*f**2 + 2\/5*f**a = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -18. Let s = 305.9 + -323. Let f = -17 - s. Is h < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13*((-1)\/15 - 14\/(-35)) - 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 0*t + 0 - 4*t**2 + 7\/6*t**3 + 1\/6*t**4. Let l be (-6)\/1 + (1 - 2). Let f(m) = 3*m + 5. Determine l*f(h) + 5*c(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-15)\/25*(-5)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 divided by 39?\nAnswer: 664\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + 21. Let w = 4.761729 - 37.761664. Let v = w + m. Round v to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66877 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-9) + (-1680)\/(-7317). Let s = l + 532\/1355. Factor 2*h**2 - s*h - 2\/5 - 6\/5*h**3.\nAnswer: -2*(h - 1)**2*(3*h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/990)\/((-10)\/45)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 21*t - 42 = 0. Solve -t*a - 22 - 8 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*x + 233 - 17 - 6. Let o be (-174)\/(-21) + 2\/(-7). Solve -2*z + l + l - o = 0, 3*z - x*l + 14 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - 12) + (-1 - 8) - -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:31 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 5508.7 and 208.\nAnswer: 5716.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21\/5? (a) -0.5 (b) 2 (c) -2\/15 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/i**(2\/5))\/i)**(1\/8)*(i\/i**(-3))**(-29) assuming i is positive.\nAnswer: i**(-4637\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -293 + 293.8. Put -1.9, n, 4\/9 in descending order.\nAnswer: n, 4\/9, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -504*n*t**2 + 2*n*t + 853*n + 4922465*t**2 wrt n?\nAnswer: -504*t**2 + 2*t + 853","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 17*o + 2 + 8 in the form q*o + d and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1844426897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1191)\/(-2*(1\/5)\/(136\/340)) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 4*b**2 - 5*b - 9. Let m(o) = 2*o**2 - 10*o + 4. Let g(c) = c - 1. Let n(q) = 8*g(q) + m(q). What is -3*i(s) + 7*n(s)?\nAnswer: 2*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = a, p = 4*p + 3*a + 15. Let t be (-4)\/16*(p - 4). Sort 1, 0.5, t in descending order.\nAnswer: t, 1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + 0.7. Let u be 4 - ((-3)\/(-1) + -1). Which is the second smallest value? (a) i (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18582 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five quarters of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-2)\/6). Let c = -0.3548 + -4.6452. Put 4\/5, c, g in ascending order.\nAnswer: c, 4\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -811814863*u**2 + 493325577 with respect to u.\nAnswer: -1623629726*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1 - p**2 + 0 - 1. Let h(g) = -5*g. Let o(t) = t**3 + 5*t**2 - 2*t - 8. Let x be o(-5). Let u(n) = -n. Let k(q) = x*u(q) - h(q). Calculate v(k(i)).\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/5)*d*d**7*d)\/((d**(1\/6)*d)\/d**(2\/67)))**(2\/37) assuming d is positive.\nAnswer: d**(16609\/37185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1140 = 5*c + 7*c. Let o be (-4)\/(-1)*c\/(-10). Is (1\/(-2))\/(-2 - (-75)\/o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/8 and 79\/200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 - 1. Suppose 34 + 11 = -15*a. Let b be ((-1)\/a)\/((-3 - 2)\/15). Let s(c) = 15*c**3 - 20*c**2 + 20. Determine b*s(y) - 20*t(y).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -n**5\/20 - n**4\/12 - 12*n + 1. Let v(o) be the first derivative of c(o). Determine g, given that v(g) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 49*i - 45*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -243286, -486659, -730036, -973423, -1216826?\n\"Answer: -n**3 + 4*n**2 - 243378*n + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 + 5*o + 6. Suppose 2*x = -2*m + m + 11, 0 = 5*m + 3*x - 34. Is 3 a factor of k(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l = 9*l + 375. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8\/53 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/11 (c) -1\/2579 (d) 2 (e) 13 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 26\/5? (a) 60 (b) -1 (c) -2 (d) 1 (e) -385 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57345141.\nAnswer: 3, 7, 23, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2660 and 1596?\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 3*x - 2*x. What is the nearest to 0.2 in -1, -5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -35*d + 46*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 12*w**2 - 14*w - 12. Let q be r(-13). Let t = 4 - q. What is the common denominator of 3\/13 and (-670)\/(-70) + (-9)\/t?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(304) + -1)*5.\nAnswer: -15 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.7 + 0.2. Let n be (8\/(-12) - 0)*15. Let q be 12 + n - 8\/5. What is the smallest value in q, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16*(-15)\/720*(-3)\/(1\/1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 223127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/1166 and 25\/954.\nAnswer: 10494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -27*b - 33. Calculate the lowest common multiple of b and 99.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -220201110100000?\nAnswer: 220201110022220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + (7 - (-3 - -6)))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -264 - -265. Do q and 62 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1947*f**3 + 2494*f**2 + 3*f - 3. Let z(q) = 1949*q**3 + 2501*q**2 + 2*q - 2. Let w(g) = 2*m(g) - 3*z(g). What is the third derivative of w(y) wrt y?\nAnswer: -11718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeezezz. What is prob of sequence zzee?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -9.7685.\nAnswer: 39.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - 14) + (20 - 4).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 108480\/(-4068) - (-14)\/9*3?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 0.3, -1863, -2\/7, -3?\nAnswer: -1863","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151302 and 11857.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214931439.\nAnswer: 3, 19, 103, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 89228021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1218113 (base 9) in base 2?\nAnswer: -10100001101000001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -186*g**2 + 1159*g + 3466. Give t(-3).\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-185)\/3 - -7)*15. Is -821 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*f**2 + 2\/7*f**4 - 10\/7*f**3 + 88\/7*f - 96\/7.\nAnswer: 2*(f - 4)*(f - 2)**2*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v**(-2\/5)*v)*v))**(2\/13)\/(v**(-1)\/v)**(-6) assuming v is positive.\nAnswer: v**(-784\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 108650 by 50.\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 8*b = 3516. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 1. What is m(3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 478988425 and 2425?\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 58 and 400?\nAnswer: 23200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5075239061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.1 or -40797?\nAnswer: -40797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 34*f**3 - 12*f**2 + 20*f + 104. Determine b(4).\nAnswer: 2168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1*(-56)\/(-8))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.98 + -3. Let t = 177.02 - 175. Let m = a + t. Is -1\/3 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 h when two letters picked without replacement from {t: 3, p: 3, h: 6, i: 6}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + z - 17 = -16*d, -3*d + 11 = -2*z. Suppose -10 + 4 = 2*v, -d*v = -l + 302. What is the hundreds digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 3*q + 4, -3*r - 3*q + 12 = 0. Suppose 10 = 2*d + r. Solve 0 = -4*t - d - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6239161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + 19*a**2 - 74*a + 12. Give p(5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(6 + -1 - ((-561)\/(-15) - (-217 + 249)))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/84)\/((-18)\/84*8)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50285546*u**2 - 7455886*u wrt u?\nAnswer: 100571092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1953*f**2 - 78*f + 244818 with respect to f.\nAnswer: 3906*f - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 222, 465, 716, 981, 1266, 1577?\nAnswer: 1920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 730477 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1832, -2149, -2466, -2783?\n\"Answer: -317*n - 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 147588337.\nAnswer: -73794168.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 634552 and 10152832.\nAnswer: 10152832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -2041?\nAnswer: 2032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -171*v**4 - 757 + 17*v**4 - 368*v**4 - 1231*v**4 wrt v.\nAnswer: -7012*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucceeeccu. Give prob of sequence ue.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39276 and 3310094?\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 + a + 5. Let x be k(4). Let y(z) = -44*z - 2. Let j be y(-1). Let p = j + x. What is the remainder when p is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.102 - 0.101728. What is v rounded to five dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6058*o - 1265*o - 2350*o - 2132*o - 4333*o to b*o + t and give b.\nAnswer: -16138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 35 + (-25 - -11 - -2) + 25?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 11\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1889*i**2 - 1847*i**2 - 1856*i**2 + 5592*i**2 - 9*i**3.\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: 17 divided by -17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32049 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1*1\/(-2))\/((-7)\/(-28)). Let b be 2\/(-4)*(-5 - -5)\/f. Which is bigger: b or -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -440755 and 17084.\nAnswer: -423671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b = -324 + 369 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 54773 in descending order.\nAnswer: 54773, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-63) - (-66)\/(-14). Let i = 7 + u. Determine p so that -4\/9 - 2\/9*p + 2\/9*p**i = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-84) - 44\/(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4))**(-1\/6)\/(x**(-13)\/x*x*x**(-1\/4)) assuming x is positive.\nAnswer: x**(167\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 5*w - 6*w + (-1 + w + 1)*(-2 + 2 - 1))*(-5*w - w - 3*w).\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6*s**3 - 32*s**2 + 978*s + 8. Let w(i) = -4*i**3 + 20*i**2 - 652*i - 5. Determine 5*j(n) + 8*w(n).\nAnswer: -2*n**3 - 326*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 562 - 25472?\nAnswer: -24910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8.014 (b) 2 (c) -38 (d) -2\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 135*z**2. Let l(p) be the second derivative of -2*p**4\/3 - 4*p. Let u(x) = 2*a(x) + 35*l(x). Let s(y) = y. Calculate u(s(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 608926235 a multiple of 3327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rssrrsrsfel. Give prob of picking 1 r and 1 e.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 58156\/(-2002) + 14 - 4\/22.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(1\/2))\/t)**(-6\/7)\/(t**(-2\/9)*t)**28)**(-4\/29) assuming t is positive.\nAnswer: t**(5596\/1827)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, -0.5, 1627686?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 231407*-0.163.\nAnswer: -37719.341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 1 - 10 - 3*j**4)*(0 + 2 - 4) as v*j**3 + w*j**4 + c + a*j + t*j**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 37627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1152 and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 83 + 83 - 318 + 75 + 76 - 28*p**2.\nAnswer: -28*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17512228 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 5*v - 6 + 21, 3*g - 2*v + 6 = 0. Solve -2*p + 9 - 13 = g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 345\/105 - 2\/7. Let g(n) be the second derivative of 0 + 0*n**2 + 1\/6*n**w - n. Let y(x) = 2*x**2. Give g(y(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1216) - (sqrt(1216) + -3 + sqrt(1216))) - sqrt(1216))**2 + 2.\nAnswer: -96*sqrt(19) + 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -183*z + 2374. Let g be p(13). Put 1\/4, g, -0.2, -70\/11 in decreasing order.\nAnswer: 1\/4, -0.2, g, -70\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-3))\/(4*(-6)\/(-72)). Suppose -3*u = -2*j - 6 + 2, 4*u = -2*j + t. Find the second derivative of 0*v - 26*v**2 + 6*v**u + 7*v - 6*v**2 wrt v.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(150)\/(sqrt(6) - (sqrt(6) + sqrt(150))))\/(sqrt(605) - (3*sqrt(605) - sqrt(605))))**2 + 1.\nAnswer: 609\/605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -466 - -1073. Solve -14*g = u - 537 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 234 and 343044?\nAnswer: 343044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -15183981 and 0.12.\nAnswer: -15183980.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(30\/4)*-18. Let k = t + 7. List the prime factors of (k + -25)\/((-3)\/2).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.812 + -5.712. Which is the second smallest value? (a) 0.03 (b) t (c) 2\/7 (d) 0.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 1537828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3624038496 to the nearest integer?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6*l = 4*n, 4*l - 2*n + 10 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 3*q**4\/4 + 2*q**3\/3 - q - 50. Calculate d(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.43 + 0.43. Let g = p + -1. Let y = g + 18.6. Which is the third smallest value? (a) 3\/2 (b) -0.04 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - -2dbcc?\nAnswer: 2dba4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30918*p*q*s - p*s + 4*p + 2*q*s + s - 144 wrt q?\nAnswer: 30918*p*s + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -131 - -51. Let i = -81 - b. Let k = -18 + 25. Which is smaller: k or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -84.00043 - -84. Round u to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.4 + -1.4. Let g = -3 - v. Which is the closest to 0.1? (a) 3 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90870136, 90870135, 90870134, 90870133, 90870132?\nAnswer: 90870131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2147 + 46964. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 28209.\nAnswer: -11283.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 6*v**2 + 8*v + 1. What is the remainder when z(7) is divided by -1*((-6)\/4 + 3\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5*f = 3*i - 31, -20 = 4*f. Suppose 3*q = -w + i*w - 23, -w - 3*q - 11 = 0. Let u(s) = -7*s + 4. Determine u(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-391)\/(-11) - (-210)\/(-385). Calculate the greatest common divisor of x and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1, 2\/5, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2458 + 27006. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.64 - -10.44. What is the closest to 3\/5 in -2\/13, 0.041, c?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(7\/(42\/(-4))). Solve 4 + 7*m**4 - 4 - m**2 + 2*m - 6*m**y - 2*m**5 = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, 3279, -286, -3 in ascending order.\nAnswer: -286, -3, -2, 3, 3279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g - 3*o + 205 = 0, 1654*g - 5*o = 1651*g - 41 for g.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2.22861 * -0.3\nAnswer: 0.668583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6 = 6. Is 3 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -52*v + 2 - 53*v + 158*v - 35*v - 39*v. Let a = 64 - 62. Determine g(a).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -14*x + 141. Let o(u) = 13*u - 142. Let d(i) = -5*o(i) - 4*s(i). Let a be d(16). Solve -a*h = 5*w + 19, 6 + 3 = -3*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 10 = -4*g, -4*g - 66 = -2*c. Suppose -2*u = 77 - 199. Let b = u - c. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-35)\/14)\/(1\/(-46)). Suppose 4*g + 3*h = r, -g + 0*h = -h - 34. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2. Let m(u) be the second derivative of 0*u**2 + 0 - 3*u - 1\/4*u**4 + 0*u**3. Calculate b(m(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17421770 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123707369, 123707363, 123707357, 123707351, 123707345?\nAnswer: 123707339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4146*v + 844460 = 4791452. Suppose -m + 49 + 7 = 0. What is the highest common divisor of m and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2605 (base 8) in base 3?\nAnswer: 1221100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -66346371 divided by -7?\nAnswer: 9478053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**2 + 16*t**2 - 6*t**2 + 27*t**2.\nAnswer: 43*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -4*b + 10, -31 = -5*b + 4*d. Calculate the common denominator of b - (368\/54)\/(32\/48) and -22.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b*b*b**(-2)*b*b*b\/(b\/b**(-4\/3))*b*b*b**(-2)*b*((b\/(b\/b**0))\/b)\/b*(b\/(b\/(b**(-1)*b)))**44*b*b\/((b\/b**(8\/3))\/b)*b**(-8) assuming b is positive.\nAnswer: b**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 54 = -0*z. Let f = -6 - z. Let b be 1 - 2\/(-2)*3. Solve 2*s - x = x - f, -b*s - 16 = -2*x for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 10*g**2 - g + 12. Let x = 43 - 64. Let t be 15\/(-30) - x\/2. List the prime factors of n(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((12\/7)\/1)\/(2\/7). Let n(l) be the first derivative of -4 + 8*l + 1\/3*l**3 - 9\/2*l**2. Calculate n(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 11:01 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 218*j**2 + 1\/70*j**7 + 1\/336*j**8 + 0*j + 0 + 0*j**4 - 9\/20*j**5 - 3\/40*j**6 + 0*j**3. Let h(p) = 0. Calculate p.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3046 - -0.3\nAnswer: 3046.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1475*d**3 - 6*d**2 - 5*d + 20. Let r(n) = -3688*n**3 + 14*n**2 + 12*n - 48. Calculate -5*r(p) - 12*w(p).\nAnswer: 740*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97338 divided by 7.\nAnswer: 97338\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*w = 42*w - 392. Let b(m) = 3*m**2 + 19*m - 13. Let c(z) = -2*z**2 - 13*z + 9. What is w*c(r) - 5*b(r)?\nAnswer: -r**2 - 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4372965 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c - 10, -5*c - 23 = 4*g - 8*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 3*192 + (-4 - -4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/42*(-74)\/3 + 5.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/2*j**2 + 0 - 53*j = 0.\nAnswer: 0, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105198874 to the power of 1\/4, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -30, 26, -5, -10, 4 in descending order.\nAnswer: 26, 4, -3, -5, -10, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 26525, 53017, 79473, 105875, 132205?\n\"Answer: -3*i**3 + 26513*i + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0*87\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1198 divided by 1198.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7600 is divided by 422?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) - sqrt(675)*1) + (-1*sqrt(27)*1)**2.\nAnswer: -12*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 763333.\nAnswer: 103, 7411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -3.7, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9888?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6.42229*-0.16\nAnswer: 1.0275664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-330)\/(-1573) - (-8)\/52?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 6*p + 56. Let c = 19 + p. Suppose -d + c*d - 12 = 0. Solve 0 = 2*z - d - 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2792532.\nAnswer: 2, 3, 232711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/16 and 85\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*-2*-5*(-6)\/12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6874\/3 - 2291. What is the closest to i in 5\/2, -0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2064859 divided by 7.\nAnswer: -2064859\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 0 - 5 = -5*s, 3*h = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 107 - 107. Suppose d*b = 24*b - 312. Solve 2*u - 3*x + b = 0, -2*x = -2*u - 2*u - 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 + 42*f**3 - 56*f**3 + 6*f**3.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/6 - (-19)\/2. Let r = c + -4. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + d + 210 = -4*d, -6156*d + 587 = 16*k - 6155*d for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -3*i + 11, 2*g - 19 = -3*g - 2*i. Let z(k) = 3*k**2 - 93*k**3 + 0*k - k + 1 - g. Let t be z(-4). What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.6 + -0.1. Let j = -866\/7 - -124. What is the smallest value in p, -1\/5, j?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 15 = 5*i, -i - 19 = -0*g - 2*g. Suppose 0 = -2*k + 10 - 0. What is the remainder when g is divided by (12\/k)\/((-6)\/(-15))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -761.0372 - -761.08420019. Let t = j + -0.047. Round t to 7 decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2 = -2*t, -5*t - n + 3 = -9. Suppose t*s + 60 = 7*s. Let j(i) = i**2 - 10*i + 2. Calculate the lowest common multiple of s and j(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1202 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30340866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -53 + 13. Suppose 2 + a = 2*i. List the prime factors of 4\/i*(-15)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 + 5181*n**2 + 5178*n = 0.\nAnswer: -1726, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23\/320 (b) 49\/6 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62558086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 792, 785, 774, 759?\n\"Answer: -2*k**2 - k + 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*12\/(-216)*(2 + 0)\/(-1). Which is the smallest value? (a) 2 (b) z (c) -3 (d) 12 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-215)\/258)\/((-15)\/4))\/(-2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7681.146 kilograms to milligrams.\nAnswer: 7681146000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/13 (b) -0.6 (c) 10376 (d) 5 (e) -1\/5 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 548 + -275. Suppose 6*l = -q + 1569. Does 36 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208 - -417. Let b = w - 206. Let z = -24 - -9. What is the second smallest value in z, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + g - 2. Let t be f(2). Suppose -t*b - b = -105. What is the remainder when ((-41)\/(-4))\/(2\/8) is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-313)\/(-2817))\/((-1)\/20)?\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 8*m - 3*m)*(3*m + 0*m - m + (1 + 2 - 4)*(1052 - 22*m - 1052)).\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359586 is divided by 440?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398 - 700 = -117*t - 5*t for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7491955 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 22*a + 11. Let n(f) = 9*f + 8. Let u(z) = 35*z + 33. Let p(i) = 9*n(i) - 2*u(i). Let w(y) = -3*c(y) + 5*p(y). What is the tens digit of w(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245935, -245934, -245933, -245932, -245931?\nAnswer: -245930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(448) + -1 + -1)**2.\nAnswer: -32*sqrt(7) + 452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 5*v**2 - v - 1. Let k(c) = 2*c**3 - 6*c**2 + c + 1. Let r(z) = 5*i(z) + 4*k(z). Let o be r(2). Solve -5*d = -0*d - o for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of 0 - 1\/10*u**6 - 2\/5*u**5 + 4\/3*u**4 + 0*u + 0*u**3 - 88*u**2 + 2\/105*u**7. Suppose j(z) = 0. What is z?\nAnswer: -2, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 55?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 825755 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + 4*j**3 - j**3 + (j**3 - 2*j**3 + 0*j**3)*(48 - 46 - 30) + (2*j - 5 + 5 + (5 - 3 - 4)*(4*j + j - 7*j) + 2 - 2 - 5*j)*(2*j**2 - j**2 + j**2).\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1655 + 1663. Calculate the least common multiple of c and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(5\/(-50 - 5)). Find the second derivative of 4*u**4 + m*u**5 + 38*u - 32*u**5 - 4*u**4 wrt u.\nAnswer: -420*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*q = 8005988, -6*d - 24017988 = -q - 3*q. What is d rounded to the nearest one hundred thousand?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -10.43\nAnswer: -5.215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 4 (c) -3\/2 (d) -51 (e) -3 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 50\/18 + (-13)\/((-585)\/10). Let m(v) = v**2 - 2*v + 4. Give m(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*g = 3*a + 2, -4*g + 3 = 3*a. Let i be ((-16)\/24)\/((-2)\/3). What is the highest common divisor of a and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1482, 1481, 1480, 1479, 1478, 1477?\nAnswer: 1476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**3 + 11*d**2 - 61*d - 124. What is r(4)?\nAnswer: -640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 494494974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1348\/(-12469))\/((-4)\/(-10)*(-10)\/2)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1319)\/6*1\/(4\/(-50)). Suppose -2*u + f - 5494 = 0, -5*f - 7432 = 5*u + 6288. Let y = t + u. Find the common denominator of 67\/22 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 4*b + 10 - 4. List the prime factors of y(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 7*w - 77. What is t(21)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + 4 + -8)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20671, 41324, 61979, 82636, 103295, 123956?\nAnswer: 144619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62637 times 0.00533?\nAnswer: 333.85521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 3:36 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(3 - 1792\/596). Let l(j) = 8 + 2 + 148*j - n*j. Let p be l(7). Solve 4*b + p*h = h, 0 = -2*b + 4*h - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10308\/(-36)*6)\/((-2)\/15) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dddkddddkd. What is prob of picking 2 d and 1 k?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 3*a - 1\/6*a**3 + 1\/2*a**2 + 4. Let f(y) be the first derivative of t(y). What is the first derivative of f(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/18*-3*52 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16*5601 + (-8)\/(-76)*19?\nAnswer: 2, 44809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/7280 and 57\/1456.\nAnswer: 7280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004533 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6450, 6454, 6460, 6468, 6478, 6490?\n\"Answer: l**2 + l + 6448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -107, -214, -325, -440, -559?\n\"Answer: -2*l**2 - 101*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5988594*j**4 + 4835*j**2 + 187 wrt j.\nAnswer: 143726256*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 605092123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 = 213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -126\/4884781 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.21, -0.4, -28.9, 0, 5?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/52)\/(10\/2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(2057) + 1 + sqrt(2057)) - (sqrt(2057) + 6*(sqrt(2057) + 2))) + 5)**2.\nAnswer: 1584*sqrt(17) + 166681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, w: 1, o: 3, c: 1}. What is prob of sequence cyw?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l**2. Let i(o) = -o**3 - 7*o**2 - 6*o + 7. Let p be i(-6). Suppose p*j = 3*j - 4*g + 4, 3 = 3*g. Let h(s) = j*s + 2*s - s. What is h(q(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-2)\/15*(7 - 2\/2).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188*s + 780*s - 185*s - 191*s - 178*s.\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8255 - -63058649.\nAnswer: 63066904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*v - 12*v - 91000. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**2 + 10*h - 8. Let z be k(-11). Suppose z*g = -3*g + 210. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3455495 is divided by 691071.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183404 - 194946 = -35*p. What is the thousands digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l + 2. Let w(a) = 12*a - 3. Calculate -3*s(t) - 2*w(t).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-220))\/(13\/(-156))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, i: 4}. Give prob of picking 4 i.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61.1 + 56. Let y = -0.1 - i. Let t = 58 + -56. Sort -0.2, t, y in decreasing order.\nAnswer: y, t, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/4)*b)\/b*b)**(2\/69))**24 assuming b is positive.\nAnswer: b**(12\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 1676 = -390*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1410123*d**3 + 7899678 with respect to d.\nAnswer: 4230369*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1862 - 1859. Let f = -368 + 1834\/5. Let k = f - 2\/15. Which is the biggest value? (a) k (b) q (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0.6. What is the biggest value in -4\/7, 11, a, -0.2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**4 + 0*k**4 - 2*k**4)*(-2 - 1 + 1) to the form v + r*k + z*k**3 + w*k**4 + m*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - s - 23, -2*s + 5 = -3*a - 3. Let l(c) = c**3 - 13*c**2 - 5*c - 117. Let g be l(14). Let x be g\/a*8\/(-12). Sort -2, x, 3 in descending order.\nAnswer: 3, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*g + 34. What is the highest common divisor of g and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -87, -328, -821, -1656, -2923, -4712?\nAnswer: -7113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -13 + (2 - 1) + 62*11454\/51460\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.092, 0.1, 2, -0.2 in ascending order.\nAnswer: -0.2, -0.092, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.4 in 1\/3, -0.2, -3, 0.4, 1510, -12?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254398 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*g**2 - g**3 + g**3 + 12*g**5 - 2*g**5 wrt g.\nAnswer: 600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.099 - 119?\nAnswer: -118.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 0. Let m(j) = -j + 17. Let l be m(b). Suppose -w + l*w - 321 = 0. List the prime factors of w.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464588 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24298 - 1239292\/51. Which is smaller: q or -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/6*726\/(-2). Let z = n - 59. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343061807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -143 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11 + -1027 + -9)*-5.\nAnswer: 3, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/((32\/(-80))\/((-3)\/(-15))) + 20317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.187332 to three decimal places.\nAnswer: -1.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -13, -32, -31, 6 in increasing order.\nAnswer: -32, -31, -13, -4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - n - 2 = -6, 0 = n - 2. Factor -2*z**5 + 6*z**3 + z**4 - 17*z + 3*z**4 + 9*z - 8*z**m.\nAnswer: -2*z*(z - 2)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 - 12 - (20 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(2*sqrt(800)) + -5.\nAnswer: -5 + sqrt(11)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/7 + 748*t**2\/7 + 70680*t\/7 + 138384\/7 = 0.\nAnswer: -186, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1089 + -1088.537. What is l rounded to 2 dps?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 575186?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**2 - 5*q. Let v(m) = 3*m**2 + 2*m. Let y(z) = 2*s(z) + 5*v(z). Let j(l) = 2*l. Determine j(y(g)).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1740049*a**4 + 2*a**2 - a + 17402587 with respect to a.\nAnswer: -6960196*a**3 + 4*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3416 = -911. Let c(m) = m**2 + m + 2. Let a be c(0). Is (80\/(-24))\/(a\/u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 127714259 to the nearest integer?\nAnswer: 11301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b - b = 33*b + 621. Put -4, b, -5, 3 in decreasing order.\nAnswer: 3, -4, -5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 2*n + 12, -973*j + 10 = -968*j - 25 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 660591 is divided by 206.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -24495 or -171456\/7?\nAnswer: -171456\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25284 divided by -86.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + (-292)\/(-60) - (-58315)\/175. Let z = h + -333. Which is the closest to -2\/3? (a) 1\/9 (b) 4\/7 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o + 5*o - 510. Suppose 7*z = z + o. Solve -k - 4*y - z = -0*k, -5*k = -y + 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 239441, 239258, 239075, 238892, 238709?\n\"Answer: -183*g + 239624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*-2 + 4 + 5 - ((sqrt(6) + sqrt(18)\/sqrt(3) - sqrt(6))*-3)\/(sqrt(33)\/(sqrt(11)*-2)))**2.\nAnswer: -324*sqrt(2) + 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 37*b + 1323. What is the remainder when 245 is divided by w(21)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 4, -5, -6 in decreasing order.\nAnswer: 4, 3, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32359 + -32274. Solve -117*c - i = -100*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1134\/(-243)*156\/(-112)*-8?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 346, 339, 328, 313, 294?\n\"Answer: -2*i**2 - i + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -318568 (base 10) to base 7\nAnswer: -2464525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 2*i + 11. Suppose l - 35 = i. Suppose 2*t - 2*p - l = 0, t - 4*p = 19 - 2. Calculate the remainder when t is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 + 3*c**2 + 0*c**2)*(-2*c - 4*c + 2 + 8*c) to the form d*c + q + k*c**2 + o*c**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - 3\/((-57)\/(-20)). Let n(f) = -f**3 - 7*f**2 - 9*f - 17. Let w be n(-6). Let s be -4 + 7 + (1 - 3)\/w. Which is greater: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4\/6 - 361*v**3\/6 - 19855*v**2\/6 + 6739*v\/2 = 0 for v.\nAnswer: -293, -69, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89\/200 - -8\/25. Let z = 5.2 - -1.8. What is the biggest value in -0.4, x, z, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 6*l - 5*l + 103, 5*l = 3*f - 319. What is the least common multiple of 35 and f?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 5\/3. Let i = 0.414 + -0.114. Sort u, i, -3 in descending order.\nAnswer: i, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from {y: 3, a: 5}?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2)\/((1218\/28)\/(-87))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3047*l**3 + 2*l + 3593788 - 3593788 to x*l + k*l**3 + s + m*l**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1316279988?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 26868120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**2*z**(-2\/15))\/(z**(-2\/3)*z)**(-3\/4) assuming z is positive.\nAnswer: z**(187\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 2*g**3\/3 + 2. Suppose -16 = -4*h - 3*k, 3*h + 5*k - 8 = -7. Let d(c) = 107*c**2 - 95*c**2 + 7*c - h*c. What is d(l(f))?\nAnswer: 48*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 + -463928390197?\nAnswer: -463928390197.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 - 12*f**2 - 14*f + 16. Let j(k) = -k**3 - 2*k**2 + 2*k - 11. Let a be j(-4). Let o be n(a). Solve -o = -3*w + 4*r, -2*w - 3 = 2*w - 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19bc (base 13) in base 11?\nAnswer: -2a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3340040 - 1?\nAnswer: 3340034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 80 + 48 = 0. Suppose p*r - 17*r + 13 = 0. Calculate the remainder when 77 is divided by r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.057, 42230, -0.029 in increasing order.\nAnswer: -0.057, -0.029, 42230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 225924262 to the power of 1\/2, to the nearest integer?\nAnswer: 15031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23319*z**5 - 9*z**4 - 109*z**3 - 252*z**2 - 107*z - 312?\nAnswer: 1399140*z**2 - 216*z - 654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 4*u - 20, 2*q - u = -4 - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3376699 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 252\/21*((-6)\/(-9))\/1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 266412815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36712 is divided by 1148.\nAnswer: 1124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -2)\/((-7)\/21). Let u be z\/21 + (-240)\/(-595). Let v = 1\/7 - 13\/42. Which is the third biggest value? (a) 2\/19 (b) v (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1513504.\nAnswer: 2, 47297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 338, 338, 336, 332?\n\"Answer: -d**2 + 3*d + 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 = h, 2*h + 3*q + 10 = -12. Let u be 0\/h - (-6)\/2. Solve -y + u*t = 5*t - 6, -4*t + 10 = y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-1)\/((3 - 0)\/123) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - -16. Does 41 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of -33*j**5\/35 - 381*j**4\/7 - 5911*j**3\/7 - 1587*j**2\/7 + 2136. Solve s(q) = 0.\nAnswer: -23, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 744887?\nAnswer: 11, 13, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.62 - 301.\nAnswer: -303.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22561, -22536, -22513, -22486, -22449?\nAnswer: -22396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -80*y**3 + 35*y**2 - 35*y + 35. Let z(t) = -9*t**3 + 4*t**2 - 4*t + 4. Let w(k) = k**3 - 9*k**2 + 5*k - 11. Let n be w(8). Determine n*z(m) + 4*g(m).\nAnswer: -5*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 846 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5 + 4 + 1 + (sqrt(1300) + sqrt(1300) + -3)*4 + sqrt(1300)*5*-1))**2.\nAnswer: -480*sqrt(13) + 46816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23450 - -23477. Let h(u) be the second derivative of 0 + 0*u**2 + 0*u**3 - 1\/28*u**4 - y*u + 3\/140*u**5. Factor h(t).\nAnswer: 3*t**2*(t - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 19*p + 229. Give t(-10).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of t**6\/3 - t**4 + t**2 + 7. Factor h(u).\nAnswer: 2*u*(u - 1)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1439*h = -1464*h + 2895*h - 2*z + 118, 2*h - 52 = 4*z for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.18 (b) 3 (c) -3 (d) -3\/2 (e) -0.068\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4393 + -4382. What is the closest to -3 in 0.2, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) - (105\/18)\/7. Let q = 2.02 - 0.02. Which is the nearest to l? (a) 0.3 (b) q (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 22*b**2 - 2*b - 11. Determine u(-10).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 103018865 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + (-387)\/(-24))*1. Let c = f - 315\/16. What is the common denominator of c and (-92)\/(-30)*(-6)\/8?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i - 2*i + 3*i + (3 - 2 + 1)*(-4*i + 4*i + 2*i) - 4 - i + 4.\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 - 0.32. Let x = 0.0114 - -0.1886. Sort j, x, 2 in decreasing order.\nAnswer: 2, x, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7202 * 5\nAnswer: 3.601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**5\/60 - n**2. Let s be (-1 - 5)*12\/(-36). Let x(q) = -3*q + 3*q + s*q - 6*q. Calculate x(h(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:40 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2873144 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/3))**39*(x*(x*x**(2\/7))\/x)**10)\/(x**2\/(x*x*x\/x**(-4)*x))**(1\/2) assuming x is positive.\nAnswer: x**(566\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 155, 163, 171?\n\"Answer: 8*k + 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.594 times -33115\nAnswer: 19670.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1255\/8687 - 2\/1241. What is the nearest to -4\/3 in 0.5, -0.2, a, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 5, 4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -395, -405, -417, -431, -447, -465?\n\"Answer: -q**2 - 7*q - 387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212495729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5568606 and 191807540.\nAnswer: 1726267860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584 is divided by 358?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81885.\nAnswer: 3, 5, 53, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 6*p + 6. Let a be t(-5). What is the units digit of 123\/a*2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 4*o**2 - 4*o - 6. Let y(a) = -2*a**2 + 16*a + 13. Let u be y(9). What is v(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 + 5*i + 3. Let u(o) = -3*o**2 + 6*o + 3. Give 6*h(x) - 5*u(x).\nAnswer: -3*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.182 times 0.81\nAnswer: 0.14742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -13, 10, 33, 56?\n\"Answer: 23*p - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2))**(-26)\/(v\/(v\/(v\/((((v*v*v**(-1)*v)\/v)\/v)\/v))))**(15\/7))**12 assuming v is positive.\nAnswer: v**(1824\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.421 + -8.481. Let i = q + 0.06. Let n = -0.01 + -0.99. Which is greater: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1231 divided by 562?\nAnswer: 1231\/562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 12340 less than 12342?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58.3 + -3.7. What is the second biggest value in l, 5, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 60940.06kg?\nAnswer: 60940060000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, z: 2, k: 7, p: 1}. Give prob of picking 2 w and 1 k.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 20355, 81554, 183551, 326346?\n\"Answer: 20399*y**2 + 2*y - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 20299800*d + 14827266?\nAnswer: 20299800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*s = -5375, 2130*s + 1074 = y + 2129*s. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**(1\/25) assuming s is positive.\nAnswer: s**(1\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 33\/((-1584)\/64)*3. What is the smallest value in -3, p, 2709\/4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -o**6\/25 + 7*o**5\/50 - o**4\/10 - o**3\/5 + 2*o**2\/5 - 20*o. Factor l(r).\nAnswer: -2*(r - 1)**3*(3*r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q - 588. What is o(-60)?\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2852, 10702, 23550, 41396, 64240, 92082, 124922?\nAnswer: 162760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3 and 51996.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 18169368?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 213 = u, -s = -102*u + 105*u - 63. Let s*z - 98\/3*z**3 - 112*z**2 - 32\/3 = 0. What is z?\nAnswer: -4, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 - 66 + 76 - y**2 - 2*y - 38 to m*y + i + u*y**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/66 and 83\/198?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 6*w - 6. Let y be x(-6). Suppose -13*c - 56*c + 17*c = 208. Sort c, y, -5, 9 in decreasing order.\nAnswer: 9, c, -5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -5. Let c = 106\/3 + -35. What is the closest to -0.2 in 0.5, n, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5580 and 25668.\nAnswer: 128340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -888, -1774, -2658, -3540, -4420?\n\"Answer: p**2 - 889*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76324 (base 8) to base 4.\nAnswer: 13303110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -50 (b) 2\/13 (c) 6.401\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + 0.2. Let v = r + 2.5. Let s = 0.6 + 0.4. Which is the closest to s? (a) 0 (b) v (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 786 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 4 - 1)*(1 - 1 + 3)*(c + 4*c + 2*c) + 2*c - 2*c + c + (0*c - 2*c + 3*c)*(2 - 1 + 0))*(1 - 4*c - 1) as q*c**2 + u*c + m and give q.\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**50)**(-34)\/((z**(-3)\/((z*(((z**4*z)\/z)\/z*z)\/z)\/z))\/(z*z*z**(-1)\/z)**(1\/36)) assuming z is positive.\nAnswer: z**(-1694)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -184 - -187. Does 4 divide (-18)\/9 + 102\/(m + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 7*s**2 - 14*s - 18. Let j be y(-8). Let c(o) = 6*o + 6*o + j*o + 5 + 4*o. Let p be c(4). What is the highest common divisor of p and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 234*a**3*i**2 - 137*a**3 - 123*a*i**2 + 11*a*i - a wrt a?\nAnswer: 1404*a*i**2 - 822*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + j + 3. Let l be 1 + -2 - (-21)\/3. Suppose -1 + l = y. Calculate the remainder when d(-3) is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.146.\nAnswer: -0.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113 - 6663\/59. Let z = j - -47\/177. What is the nearest to z in -2\/3, -4, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/s)**(-2\/7)\/(s**(-2\/21)\/(s\/(s\/(s**(-10)*s)*s*s))) assuming s is positive.\nAnswer: s**(-235\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by ((-3009)\/34)\/(12\/(-16)).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 594586074 and -0.3.\nAnswer: 594586073.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 719995.5 minutes to seconds.\nAnswer: 43199730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 4*w, 4*n + 50*w + 5 = 49*w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**2 + 16*o + 21. Let i be t(7). Calculate the greatest common factor of i and 423.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 - u - 3. Let o be (-6)\/2 + (-5 - -3). Let s be h(o). Let p(l) = 2*l**3 - l**2 - 2. What is the least common multiple of p(s) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p - 12. Let o be b(-14). Let m(y) = y**3 - 3*y**2 + 5*y. Let a be m(o). Let v = -32 + 62. What is the highest common factor of v and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (-8 - -11 - -7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2\/5*i**4 - 1\/5*i**5 + 2\/5*i**2 + 1\/5*i + 0 + 0*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 9*o - 7. Let j be g(6). Solve 0*r + r - 2*k = 1, -3*k = -4*r - j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((27\/(-6))\/(-9)))\/((-77)\/11)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjx when three letters picked without replacement from sjx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21\/40 - -5\/8. Let f = 1.8 - 2. Sort k, -2\/7, f in increasing order.\nAnswer: -2\/7, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41*g**3*v + 2*g**3 + 1570*g**2*v - 50*g*v - 694*g - 8*v wrt g.\nAnswer: -246*g*v + 12*g + 3140*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h = 3*h - 336. Let d = -38 - h. Solve -d*l + 5*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 597 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2 - 178*s**3 + 183*s**3 + 80 + s**2 - 60*s.\nAnswer: 5*(s - 2)**2*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 344.94 - 345. Which is the third biggest value? (a) -2\/3 (b) s (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**2 - 8907*d + 153153.\nAnswer: -3*(d - 17)*(2*d + 3003)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 12*w + 2. Let p(t) = -2*t**2 - 10*t - 3. Calculate -6*a(l) - 7*p(l).\nAnswer: 20*l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 4*q**2 - q + 8. Let x be l(6). Let n = x - -101. Suppose 2*y - k = 15, 5*y + k - n + 4 = 0. Calculate the greatest common factor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13969?\nAnswer: 61, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3565610 - -889934. Suppose 3*q = 554992 - x. Let l = q - -2500184. What is l rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-11) - 7*(-20)\/44. Solve 15*g**3 - 6*g**s + 16*g**2 - 10*g**2 + 3*g**4 = 0 for g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -646 = -26*h - 9*h - 3*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 270 + -250. Solve 9*g = 4*g - s for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*f - 26 - 15 = 0. Let u(w) = -w + 2. Let a(m) = -1. Determine f*u(i) + a(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 168\/96 + (-2)\/(-8). Suppose 241 = z*l + 5*d, 3*l = -4*d + 214 + 165. What is the second derivative of 15*x**4 - 133*x**2 + x + l*x**2 wrt x?\nAnswer: 180*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100010111100111000010 + -10?\nAnswer: -10100010111100111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109182458, -109182464, -109182474, -109182488, -109182506?\nAnswer: -109182528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (1287\/(-78))\/(-1*9\/1140) and 55?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 51\/35 and 33\/31.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**6\/f**(-1))**(-3\/16)\/(((f*f*f\/(f*f**4*f)*f)\/f**(-1))\/(f\/(f\/f**(-1\/4)))**(-30)) assuming f is positive.\nAnswer: f**(115\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v - 7*v + 8*v + (-1 + 2 + 0)*(v - 1 + 1).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 563*k - 565*k + 24 = 0, -5*f + 57 = 2*k. Solve 9 = -4*o - f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 4788\/(-1485) - (-2)\/(-15)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 4332.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*x - x + 70 = 0, 27 = l - 2*x. Calculate the remainder when 1421\/(-58)*4\/(-2*1) is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24152 or 24154?\nAnswer: 24154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 817*u**3 + 4*u**2 + 5*u + 23. Let c be z(6). Suppose -c = 3*l - 44*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -720, -1615, -2858, -4443, -6364?\nAnswer: -8615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/18)\/(10\/30))\/((-10)\/(-6)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1248 and 90532?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + 1 + 2 + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*a + 18*a**2 + 61*a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 3) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 454*f**2 + 12970*f + 8423161 wrt f.\nAnswer: 908*f + 12970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 716\/1101 - -6\/367. Let g be (0\/(-1 + 2))\/(-1). Let i be g\/1 - (-4)\/14. Which is the closest to 2\/3? (a) i (b) v (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5641*z**3 - 3665*z + 289956858 wrt z?\nAnswer: 16923*z**2 - 3665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxg when three letters picked without replacement from {g: 15, x: 2, a: 3}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -47432.79 - 112?\nAnswer: -47544.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-7) + 510\/21. Let d = i - 51. Let c = d + 21. Let x(j) = 2*j + 8. Determine x(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -3)*-1*-7. Suppose -o + 64 = 4*v, -1 + 7 = 3*v. What is the greatest common divisor of f and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 670\/402*((-5)\/((-100)\/108) - 3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - 3) + 1 - (-6 - (8 + -24)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -34*(1 - (-6)\/(-12)). Sort -5, 4\/5, n.\nAnswer: n, -5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202718 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*k + 3 - 3.\nAnswer: 186*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 22 = -4*i, -3083 = -16*o - i - 3245 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2 + 13*y - 16. Let l be ((-39)\/91 + 0)*-21. What is t(l)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 290 = y, 2*g = -4*y - g + 1160. Suppose -2*f + 0*f = -y. Suppose f = 4*s + s. Calculate the remainder when s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.2 (b) -2\/5 (c) 2\/3 (d) 8193 (e) -2\/555\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j**3 - 4448728*j**2 - 1236948801124*j = 0. What is j?\nAnswer: -556091, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -457 - -456.9. What is the second biggest value in -0.059, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of 2*q**2 - 7. Let d(m) = 10*m**2. What is d(f(h))?\nAnswer: 160*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16 + (-2674)\/(-168))\/((-2)\/(-6)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 3, -3060\/1091?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-394)\/14 - (-4)\/28. Let l be j\/49 - (-592)\/7. What is the highest common divisor of 112 and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 1)*(-3 - (3 + -5)). Suppose -3*c + 11*c - 17096 = s. Suppose 3*f + 700 - c = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - 6*sqrt(108))**2 + 1.\nAnswer: 3676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 61218.33mm?\nAnswer: 0.06121833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**3 + 17938*z**2 - 1481795*z - 3035350 = 0.\nAnswer: -2, 85, 17855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2 = 2*k. Let d be (-2 - k\/4)*2. Which is the third biggest value? (a) -1\/5 (b) 0 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5495, -5492, -5481, -5462, -5435, -5400, -5357?\nAnswer: -5306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 2*r. Suppose 7 = n - 1. Let c be n\/20 - 36\/(-10). Let h be a(c). What is the greatest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41916817 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 141*i. Let w(z) = 7*z**2. What is y(w(u))?\nAnswer: 987*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12*6\/(-18) - (0 - -1). Find q such that -41*q - y*q**2 - 64 - q - 83 = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36547 is divided by 4009?\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifteen quarters of a meter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8)*(-8 - -4) - 2. Let g(m) = -m - 1. Let f(h) be the second derivative of -h**5\/20 - h**3\/3 - h**2 - 9*h. Determine d*g(p) + 2*f(p).\nAnswer: -2*p**3 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4828759 a multiple of 677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*i**5*t + 1997*i**3*t**3 - 8906*i*t**3 wrt i?\nAnswer: 100*i**3*t + 11982*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -3 + (-15 - -4) + -11.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3129*p - 59444 = 25039 for p.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 2:00 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**3)\/i*i*i**(-10\/7))\/((i\/i**(-1))\/i*i*(i**(2\/7)\/i)\/i*i) assuming i is positive.\nAnswer: i**(9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 17*m**2 - 5*m + 1. Let r(z) = 2*z**3 - 34*z**2 - 11*z + 2. Give -4*r(p) + 9*t(p).\nAnswer: p**3 - 17*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -152, -233, -316?\nAnswer: -401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 4. Let i be s(4). Suppose 3*x - 8 - 1 = 0. Suppose x*n = 15 - 3. Solve 3*d = -i*m - n*m - 17, 1 = -2*m + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - y. Let z be d(0). Suppose 2*l = -z*l - 2140000. Round l to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 4*w - 7*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-50836)\/(-2327) + 30\/(-5) + -16.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 11:19 PM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78\/11 - -684\/143. What is the nearest to 0.3 in d, 2, -1, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -38*r**2 + 1 - 6 + 15 - 9*r. Let l be d(6). Let n = 5583\/4 + l. Find the common denominator of n and -15\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -78*k**2 + 16*k - 9. Let o(t) = -15*t**2 + 3*t - 2. Calculate 2*f(q) - 11*o(q).\nAnswer: 9*q**2 - q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 + -77. Suppose s = 8*v + 21 - 37. Let f be 37 + 4\/v + (-3 - -6). What is the highest common factor of f and 56?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2\/9, -5, -2\/10541?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 266*u + 9 = -451 - 72. Sort -1, 1, -5, u in descending order.\nAnswer: 1, -1, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from {y: 3, g: 2, v: 5, k: 5}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b - 182?\nAnswer: -18d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -13. Let i = m + 18. What is the biggest value in i, 0.2, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-32)\/3*(267\/2)\/1. Round f to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -936896?\nAnswer: -1\/234224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 15*x**2 + 9*x - 20. Let m be s(-6). Suppose -m = -o + 102. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*10\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3*c)*(-3*c - 4 + 4)*(2*c - 2*c - c**2 + (5 + 5*c - 5)*(-88 + 88 + 8*c)) to r*c**2 + v + d*c**4 + n*c**3 + h*c and give d.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -277980 + 459061. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80723159?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6079 + 6084.679. Round o to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-5))\/1)\/(31\/248)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 + 4*p**2 + p + 5. Let h be f(-4). Solve h = d + 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 3*k - 2. Let m be s(4). Suppose a - m*c = 0, -3*a = -2*c - 30 + 10. Calculate the remainder when 37 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 + -54 - -31 - 70?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1844 divided by 20.\nAnswer: 461\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkk. Give prob of picking 3 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1074 - 1072. Let w be 39\/(-45) + -1 - -2. Put w, -0.04, q in increasing order.\nAnswer: -0.04, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a = -80*a - 240. Let v(d) = -d. Let y be v(-6). What is the greatest common divisor of y and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (81\/21)\/((-18)\/(-42))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/109 (b) -0.4 (c) 1 (d) 114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/3, -4, 4, 2775, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -9)\/(-2*1). Let d = m - 1. Suppose -d*g = 1 - 34. Calculate the highest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*s - 3*s - 768. Suppose 0 = x - 5*x + s. Let w = 45 - x. Solve 2*l = c - w, 15 + 5 = -5*l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*r + a, -5 = r + 4*a - 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-6))\/((-125)\/150 + 14\/12)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -226 + 69 + 139 + 63.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-14)*(-3 + -1). Find the third derivative of -8*v**4 + 9*v**4 - v**4 + 5*v**2 - v**4 - j + 2*v**6 wrt v.\nAnswer: 240*v**3 - 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 11, z: 1}. What is prob of picking 1 z and 2 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f**2 - 2*f - 3. Let n(x) be the first derivative of -x**3\/3 + x**2\/2 + 133. Calculate 3*n(p) + q(p).\nAnswer: -p**2 + p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -13 + -6 - 3) + -2 - 115 - -8\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4339 is divided by 41.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -83 > 8\/71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 9:56 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 3*m**2 - 3*m + 2. Let d(u) = u**3 - 6*u**2 - 8*u + 9. Let x be d(7). Calculate w(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2855387 to the power of 1\/2, to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77852398?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0049618 rounded to five decimal places?\nAnswer: 0.00496","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12238?\nAnswer: 2, 29, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 14*k + 60. Let l be y(-6). Let r be 5\/(30\/l) + 7. Solve r*v + 1 = o - 2, v + 1 = -4*o for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 2\/15*p**7 + 0*p**6 + 31\/6*p**3 + 0*p**4 + 0 - 30*p**2 + 0*p + 0*p**5. Differentiate k(h) wrt h.\nAnswer: 112*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z + 7*z - 12 = 0, 0 = -5*c + 2*z + 93. What is the remainder when 81 is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/(j\/((j*j*((j*j*j**(3\/11))\/j)\/j*j)\/j))*(j*j\/(j**(3\/4)\/j))**13 assuming j is positive.\nAnswer: j**(1431\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -95*f**6\/6 + 11*f**2 + 9. What is the second derivative of l(t) wrt t?\nAnswer: -1900*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.31 and -211115?\nAnswer: -276560.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -9*p**3 - p**2 - p + 2. Let n be z(-2). Let g be ((-5)\/(-4))\/(1\/n). Suppose 3*y - g = m, -m + 3*m - 110 = -4*y. List the prime factors of y.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47720000 rounded to the nearest 1000000?\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - r**2 + r + 6. Let s be z(0). Solve 0 = 11*p - s - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -293.6436796481 + 1?\nAnswer: -292.6436796481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14 + -13.6. Let c = -8.45 + -1.85. Let t = -10 - c. What is the nearest to 0.1 in t, 2\/7, w?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/3828165 and -151\/48?\nAnswer: 61250640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.42.\nAnswer: -0.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = p - 2, 11*p + 4*v = 8*p + 3. Sort 1\/6, -12, 0, p in decreasing order.\nAnswer: p, 1\/6, 0, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 208 = b, 5*m = 3*b - 6*b + 1042. Calculate the highest common factor of m and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s - 5. Let v be p(-2). Let m = 1\/76 - -145\/532. Find f such that -4\/7*f**2 + 2\/7 - 2\/7*f + m*f**4 + 4\/7*f**v - 2\/7*f**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckkkkuicimkkk. What is prob of sequence im?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6123731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 762*p + 42. Let q(k) = 762*k + 35. Determine -4*i(n) + 5*q(n).\nAnswer: 762*n + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(114)*1 + sqrt(114) + sqrt(114))*2)\/(((-2*sqrt(432))\/sqrt(8))\/sqrt(9)).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100244459?\nAnswer: 7, 199, 71963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408*q + 9 = 405*q, -5*x + 1 - 14 = -4*q for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -5*z**3\/3 + 5*z**2\/2 - 3*z - 5. Let y(t) = 6*t**2 - 6*t + 4. What is -4*h(o) - 3*y(o)?\nAnswer: 2*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*w**4 + 35480*w**3 - 13210744*w**2 + 441683424*w - 3874315536.\nAnswer: -(w - 18)**2*(5*w - 3458)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3 + 94*g**2 + 194*g + 98 = 0.\nAnswer: -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2122662 or 2122669?\nAnswer: 2122669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6098699?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-140)\/(-1680))\/(18\/(-1404)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 582.98484 - 583. Round c to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54051362?\nAnswer: 2, 101, 267581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 25*r**4\/4 - 44970*r**3 - 323841*r**2\/4 - 43181*r - 7197 = 0. What is r?\nAnswer: -1, -2\/5, 7197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 210*p = 2*l - 213*p + 34, 3*l + 5*p = 75 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/((v**(2\/9)*v)\/v))\/v)\/(v\/(v\/((v*v**10)\/v)*v*v*v)))\/(v*v*v*v**0*v)**(-5\/6) assuming v is positive.\nAnswer: v**(-35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kih when three letters picked without replacement from {k: 1, z: 3, p: 1, i: 1, h: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + j - 4. Let o be m(-3). What is the third derivative of -2*q**2 - 8*q**6 + 4*q**o + 11*q**6 wrt q?\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {t: 4, f: 7}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12\/5*w + 39\/5*w**3 + 3\/5*w**5 + 36\/5*w**2 + 18\/5*w**4 + 0 = 0. Calculate w.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + 0. Let s(l) = 4*l**2 - 22*l + 12. Let z be s(5). Let o be -9 - (-7 - z*6\/(-4)). Which is the smallest value? (a) 5 (b) 1 (c) r (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 6*s + 7. Let o = -358 + 352. Let x(j) = j**2 + 7*j + 8. Determine o*y(l) + 5*x(l).\nAnswer: -l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4371\/(-837) - 5*-1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -102117*m*p**2 - 437*p**2 + 3*p - 14 wrt m?\nAnswer: -102117*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 118520, 118525, 118530, 118535, 118540, 118545?\nAnswer: 118550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10010111100011111101111 (base 2) in base 13?\nAnswer: 104b6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-6))\/(4\/3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - j = 3*j + 24, 0 = -2*m - 2*j. Let z be 4 - (0 + m*-28). Suppose -4*y + 4 + z = 0. Calculate the remainder when y is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1016 + 666 = -98*z - 82. Are -1\/18 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.144ml to litres.\nAnswer: 0.069144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - 6*a - 3. Let u be p(-5). Calculate the greatest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127654 - 83495. List the prime factors of q.\nAnswer: 44159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9490.1 and 0.26.\nAnswer: -9489.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 91*v**3\/3 - v**2 - v - 20. Let w be x(-1). Let f = w + -66. Calculate the remainder when 41 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -667832, -2671346, -6010534, -10685396, -16695932, -24042142, -32724026?\n\"Answer: -667837*s**2 - 3*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4753*j**2. Let l(g) = -6*g**2 - 61. Determine l(d(u)).\nAnswer: -135546054*u**4 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-20)*1778\/381*-5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 9*k**2 - 6*k + 13. Give x(9).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhthhthhhthhhhhhh?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 21*s**4\/2 - 135*s. Let h(d) = d. Determine h(y(c)).\nAnswer: 126*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3371 - 5329. What are the prime factors of (-31)\/186 - x\/12?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 - 72*o**3 - 244*o**2 - 288*o - 112.\nAnswer: -4*(o + 1)**2*(o + 2)*(o + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 17 - 798\/(-49)*(-35)\/(-10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104.7398ml to litres.\nAnswer: 0.1047398","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 7*u**2 + u**4 - 367*u + 366*u + u**4 - 3*u**3 in the form d + q*u**3 + y*u**2 + o*u + v*u**4 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -14*g + 14. Suppose -s + 5*l + 32 = 0, -l = -s + 3*l + 27. Let y(f) = -f**2 + f - 4. Let i be y(0). Put i, s, g in decreasing order.\nAnswer: s, g, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*a*m*u - a*m + 61*a*u - a - 20553*m*u - 1248289*m wrt u.\nAnswer: -10*a*m + 61*a - 20553*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/(-15))\/(4\/360). Suppose m = 2*b + 5*v, 3*b - 79 = -0*b + 5*v. Suppose -4*s + r + b = 0, -s - 5*r = 4*s - 35. Solve 3*n - s*n = 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001000110110100010101011011 - -100?\nAnswer: -1001000110110100010101010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(144)\/(sqrt(12) + sqrt(12) + sqrt(12)*2)))**2 + ((sqrt(18))**2 + 5 - (1*(2 + sqrt(2)) + sqrt(2))).\nAnswer: -2*sqrt(2) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 4*z - 37. Let i(s) = 15*s - 48. Let r be i(17). What is the greatest common divisor of z and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i. Let x be -1 + -2 + 15 + -8. Let s(f) = 2*f - 3. Let c(h) = -h + 1. Let o(m) = 11*c(m) + 4*s(m). Calculate x*v(n) - 2*o(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 0 - 2)*(0*m - 5*m + 4*m + 5).\nAnswer: -7*m + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781180997 is divided by 200?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1360 and 560.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - w + 23 = 7, 5 = 3*a - w for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of -l**8\/336 + 7*l**4\/12 - l**3\/3 + 28*l**2. Find the second derivative of u(z) wrt z.\nAnswer: -20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 4*c + 7021, c = 5*i + 1769 + 5257. Let d = i + -2115. What is d rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-14)*4\/(-6))\/((-189)\/(-3528)). Let o(g) = 543*g**2 + 2*g - 1. Let q be o(1). Calculate the highest common factor of q and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 115, 159, 201, 241, 279?\nAnswer: 315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -10 (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23754 - 29321 = -r + 49099. What is the ten thousands digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, 209, 1\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 842713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*c + 22149 = 0, 5*f - 5*c = -0*c + 22155. Is f a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 167 and 11105333.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/((-6)\/(-9)) + -1. Let x(o) = o**2 + 3*o + 3. Let j be x(-3). Suppose 3*v - u - 4 = -j, 0 = -4*v - 3*u + 23. Do v and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 96283295 and -2.\nAnswer: 96283293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -164 + 22516?\nAnswer: 22322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -315, -309, -303?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1100 and 15.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -6*t - 12, -3*t - 27 = -3*c. Solve m = -3*k + 4, 0 = c*m - 9*k + 6*k - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (90\/27)\/(4\/(-6)). Let g be 2\/c + (-368)\/(-1070). Let j = g - 13481\/1926. Find the common denominator of -83\/22 and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 998781*v**4 + v**3 - 109*v**2 - 6549*v?\nAnswer: 23970744*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8422939 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 34*s + 69. Suppose -71*g = -75*g - 128. Let v(x) = -x**2 - 6*x - 1. What is the least common multiple of v(-5) and i(g)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*h**2 - 469 + 468 + 314*h + 304*h**2 wrt h?\nAnswer: 710","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500078 >= 499958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/(c*c**(-12)*c)))**(5\/3)*c**(-2\/23)\/((c\/((c\/(c\/((c\/(c\/c**(-3)))\/c*c)))\/c))\/c) assuming c is positive.\nAnswer: c**(-439\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-693) - (-501)\/63\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*p + 3 = -2*p, 12 = -4*y - 4*p. Let w(t) = -t**3 - 3*t**2 + 5*t + 5. Let b be w(y). Differentiate b + 0 + 4*n - 2*n + 0*n wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/15 - 2314672*f\/15 - 771558\/5.\nAnswer: 2*(f - 1157337)*(f + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1069, 5622, 17973, 42022, 81669?\nAnswer: 140814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d. Let k be u(-2). Let a(v) = -19*v**3 + 2*v**2 + 9*v + 18. Let y(j) = -5*j**3 - j**2 + j + 5. Let b(l) = -a(l) + 4*y(l). Give b(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1\/7)*g*(g\/(g\/(g\/(g*g**(-2\/13)))))\/g*g*(g**4)**(2\/13) assuming g is positive.\nAnswer: g**(148\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 - -39. Let r be (y\/15)\/((-1)\/6). Solve -r*j + 6 = j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305398271 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = 4*m, b + m = -b + 31. Calculate the remainder when -2 - 54\/(-3 + 2) is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 + -139 + 0 + -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -u - 0*u - 7, -3*u - 5*f - 1 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2129, 2317, 2599, 2975?\n\"Answer: 47*w**2 + 47*w + 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -14, 2 in ascending order.\nAnswer: -14, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 - 22 - 6*b)*(-5 + 2 - 10)*(-1 + 2 + 3)*(b + 2*b - 6*b).\nAnswer: -936*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -328 - -933. Let z be -288*(i\/(-15) - 2). Let v = z + -5092. What is v rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1147\/63 - -129\/7. Let s = -10203 - -10197. Sort s, -1, h in decreasing order.\nAnswer: h, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**5\/3 + 824*v**4\/3 + 50410*v**3 - 7776524*v**2\/3 + 21321353*v\/3 + 9749428 = 0.\nAnswer: -433, -1, 4, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 858*p + 845*p + 8*p**3 - 1701*p - 3 + 3*p**2 to k*p**3 + y*p**2 + z*p + j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 2*p - 25. What is the tens digit of h(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 16*d**2 - 188*d - 42. What is x(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/544 and -159\/23785720?\nAnswer: 95142880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + c = 66. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3722 + 5591. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5333215.2 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*g**4 + 2*g**4 - 129*g + 6*g**3 - 3*g**3 - 2 + 128*g - g**2 to the form q*g**4 + w*g**2 + r*g**3 + v*g + m and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2631\/232 - -91\/8. Let y = c - 35\/174. Is -1 at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11732, -23481, -35232, -46985, -58740?\n\"Answer: -k**2 - 11746*k + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52? (a) -3\/2 (b) -0.06 (c) 0.6 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1925130 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 351745867?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16103 rounded to 3 decimal places?\nAnswer: 0.161","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -62*k**3 - k. Let w(r) = -r**3 - 6*r**2 - 16*r + 3. Let x be w(-5). Let o = x - 26. What is the remainder when m(-1) is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 174? (a) 3 (b) 12 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3556 * 2.0437.\nAnswer: -7267.3972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -1636 + 610. What is the greatest common factor of v and 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-2\/37))\/q*q**11)\/(q**(-1\/8))**(-3\/40) assuming q is positive.\nAnswer: q**(129489\/11840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 29. Suppose m = 8*o - 39 - 161. Let z = o - 17. Solve 0*s - 4 = -s, 0 = 5*f + 3*s + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4577741092 - 4577741092 + 13*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4 + 1920*q**3 + 53845*q**2 + 264330*q + 212400 = 0.\nAnswer: -354, -24, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuvvuvuvuuduuvu. What is prob of picking 1 v and 3 u?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 947.\nAnswer: 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q - 5*q + 3*q + (-1 - 1 - 2)*(0 - 3*q + 0))*(0*q - 2*q**4 + 0*q).\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*f - 0 - 72 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + 3.1. Let o = p + -3.5. Let k(n) = 11*n**2 + 60*n - 32. Let t be k(-6). What is the biggest value in t, o, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462 = -5*m - 9*w + 453, -5*w - 5 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 7:59 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u**3 - 2*u**3)*(11 - 4 - 1).\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73*g**3*r + 22363*g**3 + 26*g**2*r + 12*g*r wrt r.\nAnswer: -73*g**3 + 26*g**2 + 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 98*w**2 - 184*w + 931. Calculate the remainder when 323 is divided by k(-96).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 170885896 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4968273 is divided by 2674?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 1839*g - 4247. Determine u(2).\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23222, -46485, -69786, -93143, -116574?\n\"Answer: -3*s**3 - s**2 - 23239*s + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915924200.\nAnswer: 2, 5, 4579621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 5664, 5610, 5556?\n\"Answer: -54*i + 5718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3886.367 nanometers in centimeters?\nAnswer: 0.0003886367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23.7 - 23.9. Which is the biggest value? (a) -3\/4 (b) -3 (c) 0.4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.453 take away -0.4?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 86 - 47. Let y = t + -39.32. Let v = y - -0.3218. What is v rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1496*j**3*x**2 - 74*j**2*x**2 + 3*j*x**2 - j*x - 3083*x**2 + 6*x - 2 wrt j?\nAnswer: 8976*j*x**2 - 148*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409458 is divided by 456.\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u - 145. Let m(b) = -b**2 + 5*b - 3. Let q be m(2). Suppose -q*w = -7*w + 296. Solve 0 = o - 4*s - 25, u - w = -4*o + 5*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224212 (base 6) to base 16\nAnswer: 4a90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of -503*p**7\/70 + 761*p**5\/30 - 2061*p**2. What is the third derivative of t(x) wrt x?\nAnswer: -36216*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 4 + 3 + -3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -2\/3 (b) -2 (c) 6 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/7 + -335*(-11)\/385. Let j = -2 - -6. Suppose -4*l - 4 = 2*x, -l = j*x + 2*l + 13. Sort r, 5, x in decreasing order.\nAnswer: r, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-8)\/28)\/((-762)\/(-252) - 3).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 8*d**3 + 8*d**2 - 5*d - 5. Let j(s) = -143*s**3 - 143*s**2 + 91*s + 91. Let z(t) = 5*j(t) + 91*w(t). Find the third derivative of z(v) wrt v.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or -0.1545?\nAnswer: -0.1545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*65\/(-78)*(-6)\/10. Let a(j) = 3*j + 28. What is the remainder when a(k) is divided by (2\/(-4))\/(4\/(-64))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 - -6863170\nAnswer: 6863188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-28)\/154) + 9. Suppose 0 = 4*t - 8 - 72. Suppose -2*w + p = -t. Solve -d = 4*d - w for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 42*b**2 + 39*b + 45. Calculate the remainder when 8507 is divided by d(-41).\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33344 + -704418.\nAnswer: -671074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.05 (b) 2 (c) -50 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 176*r - 7680. Let j be i(96). Put -3, j, 240 in descending order.\nAnswer: 240, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*d + 9. Let f(l) = -2*l**3 - 5*l**2 - 3*l - 2. What is the remainder when 2\/(-4) - (-186)\/4 is divided by f(d)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 + -77. Suppose 65 = -5*p + n*p. Suppose 28 = -3*r + p. Is r at most as big as -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49331 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -604*25\nAnswer: -15100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggxggzoozggoz. What is prob of sequence gx?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149 - -223. Let k be (v + 6)\/(0 + 1). Suppose -k = -5*l + 2*b, 3*l = -l + 2*b + 64. Calculate the greatest common divisor of 112 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33251 is divided by 4680.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - n = 20. Suppose n*m = -m + 100. What is the highest common factor of 80 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 19*d - 63. Let m be (-15)\/(-7 - -4) + 8. Let n be u(m). Solve 5*a - 5*q - n = 0, -4*q - 6 = a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**2 + 4*z**2 + 3*z**2.\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107499 is divided by 337.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23151787591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 6:34 PM?\nAnswer: 10:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28190 (base 10) to base 2.\nAnswer: -110111000011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.0633.\nAnswer: -0.00633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express k - 16 + k + 3*k**4 + 32 - k**4 - k**2 + 4*k**2 as b*k**4 + d*k + r + m*k**2 + f*k**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(-5*i**4 + 2*i**4 + i**2 + 2*i**4 + (10*i**2 - 2*i**2 - 2*i**2)*(-3*i**2 + i**2 + 3*i**2)).\nAnswer: -5*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -492, 4, -5.\nAnswer: -492, -5, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. What is the remainder when -9*(2 + 76\/(-12)) is divided by 7\/(n*(-2)\/12)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4008823 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5387479*-78.\nAnswer: -420223362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 1, 3 in descending order.\nAnswer: 3, 1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72421957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*x - 602*x - 530*x - 156*x.\nAnswer: -951*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 p, and 1 o when four letters picked without replacement from {o: 1, n: 2, t: 1, h: 2, p: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(1*15\/(-18))*(-2360)\/354.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10753959 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 1649*h**2 + 6*h + 5. Let f be q(-4). Let n = -114054991\/4326 + f. Let d = n + 101665\/17304. Calculate the common denominator of 31\/8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 675 - 7423\/11. Which is the closest to 18? (a) 0.3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1576 - 1571) + (-1 + -23 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 119*b*y**3 + 2*b*y**2 + 24*b*y - 4*y + 1 wrt y.\nAnswer: 714*b*y + 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 95572*m - 8 + 103*m**3 - 95570*m.\nAnswer: 103*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -25, -32, -41, -52, -65, -80?\n\"Answer: -u**2 - 2*u - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.98 + -8. Let r = x - 0.08. What is the third biggest value in 2, -3, r?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2880757 is divided by 4950?\nAnswer: 4807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1 + 1 + 4*f. Suppose 2*o - 5*q - 32 = 0, -27 - 23 = -5*o + 5*q. Suppose 2*p - o = 5*p. What is j(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-15)\/(-2)*16\/20. Suppose 0 = -3*q - 2*d + 70, -2*q - d + 41 = -n. Suppose -4*y = -270 + 82. What is the remainder when y is divided by q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/84)\/((-154)\/(-1617)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 79692681?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461136?\nAnswer: 2, 3, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-43)\/(-2) - (-1)\/2. Suppose 0 = -0*g - 3*g - 33. Let u = g + q. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38094, -37974, -37866, -37776, -37710, -37674, -37674?\nAnswer: -37716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -520166.000062 + 520165. Let l = 0.9339 + 0.0661. Let r = l + t. Round r to six decimal places.\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -2, -10.1, -1.25 in decreasing order.\nAnswer: 13, -1.25, -2, -10.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 103.757148 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 116 = -8*n. Let g = n - 27. Factor 27 + 7*w**2 + 2*w**g - 14*w + w**3 + 41*w.\nAnswer: (w + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.16 - 7844638746.\nAnswer: -7844638746.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1482 is divided by 149?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 102122 (base 3) in base 7?\nAnswer: 626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1896378 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 177 + -288. Let i = 111.00000172 + n. What is i rounded to 7 decimal places?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v**2 - 8*v + 3. Suppose 2*r + 2*r - 5*s - 22 = 0, -5*s - 10 = 0. Let b(d) = 6*d**2 + 8*d - 2. Let x(o) = r*b(o) + 2*g(o). Factor x(k).\nAnswer: 4*k*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -5*w - 4*z, -z - 38 = -5*w - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -514382*o**3 + 1201250*o.\nAnswer: -3086292*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/17 and -16\/1473.\nAnswer: 25041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -961504 divided by 240376?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 1\/4 (c) -2\/617129 (d) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4*(-1)\/(-56)*-3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27525820 and 280?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1070, -1317, -1974, -3245, -5334, -8445?\n\"Answer: -34*x**3 - x**2 - 6*x - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 856*x + 434*x + 419*x + 74 as t + q*x and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6546, -6544, -6542, -6540?\nAnswer: -6538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 60 = -35. Which is bigger: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-4)\/84)\/(2 + -3)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-13)\/(-39))\/(1\/213). Suppose -4*b = -12 + 4. Suppose b*g = w + 17. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/5 + 121069*m\/5 + 242142\/5.\nAnswer: -(m - 121071)*(m + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 2:42 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 100230 (base 4) in base 11?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3964*2\nAnswer: -7928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -11*m - 2. Let u be (213 + -3)*(-7)\/(-21). Suppose u = 8*x - 26. Calculate the remainder when z(-2) is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of -b**5\/10 - 3*b**4\/2 + 42*b - 32. Let m(n) be the first derivative of x(n). Solve m(i) = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -599 + -867?\nAnswer: -1355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 126\/672331, -10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109 is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Let u(l) be the second derivative of 1\/6*l**3 + i*l - 1\/12*l**4 + 0 + 3\/2*l**2. Give u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16151*t**2 - 83*t + 318254 wrt t.\nAnswer: -32302*t - 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/(-30))\/(7*(-24)\/280)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -44. Let d(j) = 9*j + 4. Let c be d(3). Let h = c - f. Solve h*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -60, -14, 70, 204?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 164063?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**2 + 47*b - 17. Give q(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -679106 (base 10) in base 2?\nAnswer: -10100101110011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 9:06 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*57\/9*3. Let k = r - 4. List the prime factors of (-1)\/(4\/(-14)) - k\/(-46).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 129*n**2 - 469*n + 4018. Determine q(-125).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/40900 and -19\/40900?\nAnswer: 40900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1238129 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4181804 and 79992.\nAnswer: 75272472","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 39271342 a multiple of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 11*t**7\/210 - 3*t**4\/8 - 14*t**2. What is the second derivative of b(l) wrt l?\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2434756 by -314.\nAnswer: -7754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(693)\/sqrt(176) + 0 + 1 + sqrt(7) + (sqrt(49)*2)\/sqrt(7).\nAnswer: 1 + 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 395.517 - -11.\nAnswer: 406.517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*l - 6*l - 17*l - 24*l**3 + 3 as s*l + o*l**3 + p*l**2 + f and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/8)\/((-1)\/(-4)). Let m be -5*93\/10*-2. Is ((m*x)\/(-3))\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -183768.6 and 0.1.\nAnswer: -18376.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 377959671?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 128*n + 7. Let w(u) = 64*u + 3. Let t(y) = 2*y**2 + 286*y + 2901. Let o be t(-11). What is o*s(q) + 7*w(q)?\nAnswer: 64*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 682493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -24149 divided by 589\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(3*b - 10*b + 6*b) - 7 + 7 + 18*b.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/7217 and -52\/380439.\nAnswer: 2663073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-771*z - 712*z + 1141*z)*(z**2 + 5*z**2 - 2*z**2) + (5 - 4 + 1)*(2*z**3 + 3 - 3) + 3 - 3 - z**3.\nAnswer: -1365*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2002 (base 3) to base 2\nAnswer: -111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + (-8 - 27) + 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1003340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -19*m**3 - 411234*m**2 - 13506809*m + 1426326 = 0. What is m?\nAnswer: -21611, -33, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**4 + 16584*j**3 - 66528*j**2 - 531200*j.\nAnswer: 4*j*(j - 8)*(j + 4)*(j + 4150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*j**2 - 86*j**2 + 23*j**2 + 14*j**2 + 28*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as 34\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*l**2 + 73*l**2 - 63*l**2.\nAnswer: 101*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ow when two letters picked without replacement from {c: 4, w: 1, s: 2, o: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/4)\/((-24)\/(-1488))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 331*k - 1627. Let y be u(5). Let s(v) be the first derivative of -28 + 20*v - 20*v**2 - 25\/3*v**y. Find b, given that s(b) = 0.\nAnswer: -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41415 less than 41417?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 12 = 5*l. Let i(v) = 4*v - 2. Let j(a) = 5*a - 2. Let s(q) = 6*i(q) - 5*j(q). What is the units digit of s(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 12*f - 5. Suppose 14*y - 60 = 10*y. List the prime factors of n(y).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7630)\/654)\/((-10)\/(-12))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 465 and 9579.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3*x + 13. Let w(l) = l**3 + l**2 + l + 1. Let t be w(-1). Let b be (t - 5)\/(-5)*-5. What is the units digit of c(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 9 = -c - 2, 22 = 10*z + 3*c + 1 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 - 4*p**2 + 2*p + 3. Let h be (3080\/(-14))\/11 + 22. Let u(k) = 10*k**3 + 13*k**2 - 6*k - 10. Determine h*u(l) + 7*a(l).\nAnswer: -l**3 - 2*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*x + 2 = 0, 3*w - 3*x = 2*x - 11. Factor 0*k + 20*k**5 - 19*k**5 - k**w + 0*k.\nAnswer: k**3*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1153919?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 196. Let a be (-2)\/(-10) - (-406)\/l. Let h be (-2 - 57\/(-42))*8\/a. Sort h, -1, 1\/5 in ascending order.\nAnswer: -1, h, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4*t**2 - 2)*((2 - 2 - t)*(4 - 2 - 1) + 0*t + 3*t - 4*t - t + 5*t - 3*t + 3*t - 5*t + 0*t - 5*t + 4*t + 3*t)*(518*t + 527*t + 43*t).\nAnswer: 4352*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 3:52 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006403345 rounded to four dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8089 + -8088. Which is the nearest to -60? (a) -1 (b) m (c) 2\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 6*k**2 + 5*k + 3. Let x be j(5). Let l(t) = -589*t**2 - 2*t - 4. Let d be l(-1). Let v = -587 - d. Solve -x*f = -4*f + v for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2125797213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8629104?\nAnswer: 2, 3, 11, 59, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 98 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 485, 938, 1359, 1748, 2105, 2430, 2723?\n\"Answer: -16*w**2 + 501*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence py when two letters picked without replacement from {p: 9, y: 3, m: 2, i: 3}?\nAnswer: 27\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 415 + -415.1. Let h = -1.7 + 2.05. Let o = h + w. Round o to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) 58 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 7) + 2 - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.00370396 and -22793220.3.\nAnswer: -22793220.29629604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the first derivative of -c**4\/4 + 2*c**3\/3 + 3*c**2\/2 + 122. Calculate h(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 16*c + 54. Let d be u(13). Suppose -d*s - 834 = -21*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74433 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*l**2 - 3*l**2 - 3*l**3 - 3*l**3 + 30*l**3 - 4*l**3 + 5*l**4 as g*l + m*l**2 + p + z*l**4 + o*l**3 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -106*i + 2862. What is c(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - n**2 - 14*n + 54. What is the hundreds digit of t(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i - 66. Let g(s) = 15*s + 16*s - i*s. Let k(b) = -3*b. Determine g(k(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(((sqrt(165)\/sqrt(3))\/sqrt(11) - (sqrt(5) + sqrt(55)\/(sqrt(11) - sqrt(99)) + sqrt(5))) + 4 + sqrt(3645)))**2.\nAnswer: 3392*sqrt(5) + 56436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:44 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 11. Let q be l(8). Suppose -2*k = -2*z + 988, -q*z + 2*z + 2*k + 489 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 6634100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:22 AM?\nAnswer: 7:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 6*b - 2. Let t be z(10). Calculate the highest common factor of 232 and t.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + -1*sqrt(180) + sqrt(180) + sqrt(30)\/sqrt(54) + -2 + sqrt(125).\nAnswer: 4 + 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*j = 75*j + 5*n + 111, -87 = -4*j - 3*n. Let b = 223 + -128. What is the remainder when b is divided by j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672 = 82*j - 416*j - 116*j - 8328 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*k)*(-2*k**4 - 2 + 2) + 0*k**5 + 2*k**5 - k**5 + (10 - 10 - k**4)*(-k + k - k).\nAnswer: -2*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(((g\/(g*g\/(g**(1\/3)*g)))\/g)\/g)))\/(g**(-3\/23)\/g))\/(g\/g**(-2\/25)*g**(-1\/10)) assuming g is positive.\nAnswer: g**(-8681\/3450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2442588*w**3 + 10*w**2 - 8367*w - 4 wrt w?\nAnswer: 14655528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -10 + 9)\/((-2)\/78614). Suppose 8*c - 28941 - h = 0. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**10)**(1\/2)*l*l*l\/(l\/(l**7\/l))*(l*l**(-24)*l)\/l assuming l is positive.\nAnswer: l**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -662\/39 - -1675\/78. Find s such that 9\/2*s**3 + 4 - 1\/2*s**4 - 7\/2*s**2 - b*s = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 0*s + 1 - 3\/8*s**2 - 1\/2*s**3 + 3\/10*s**5 + 1\/8*s**6 + 0*s**4. Factor m(p).\nAnswer: 3*p*(p - 1)*(p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 0.01821\nAnswer: -0.16389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*n - 2*n - o, -10 = -3*n - 4*o. Let t(c) = -8*c + 6. Let g(z) = z - 1. What is n*g(u) + t(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*l - 607 - 587 = 1171. Let g(s) = -10*s + 1. Let b(i) = -i**2 + 7*i - 1. Let q be b(7). What is the remainder when l is divided by g(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 10 = 2*y, -y + 0*y - 2*k - 14 = 0. Let c = y - -22. Let n = c + -2. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3996476?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91567688*y + 83789051 wrt y?\nAnswer: -91567688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -7*5*(-3)\/(-15). Let y(u) = -u**3 - 8*u**2 - 6*u + 11. Let g be y(k). Differentiate 7*j**4 + 23 - 2*j**4 - 7*j**g wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/(-1 - -2)*-1. Let x be ((-14)\/5)\/(6\/(-15)). Suppose 0 = -r + x + o. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -213*o + 74867999 + 276661939 = 96036438. What is o rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.54 and -44?\nAnswer: 595.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*s - s - 1206 = 0, -i + 254 = 4*s. What are the prime factors of i?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*q = 3*w - 84*q - 6, -4*q = -5*w + 13. Suppose -v - 3 = 0, -5*v - 4 = -w*k + 26. Calculate the highest common factor of k and 123.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0242 - 28.5758. Let u = h - -28.59999642. Round u to 7 dps.\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 48614 and -3?\nAnswer: 48617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7885*l + 410012. Calculate t(-52).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 12) to base 13.\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m - 104. Let b be s(27). Suppose 171 = 3*f - 2*o, -3*o + 6*o + 227 = b*f. List the prime factors of f.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00025268933 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 2. Let l(n) be the first derivative of -1\/4*n**4 - 1\/3*n**3 + 2*n**2 + n + 84. What is l(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-190)\/760)\/((-17)\/(-12))?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595787948 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 + 5*w**3 - 3 - 4*w**3 + 0*w**2. Let n be g(-3). Let d = n + 14. What is the smallest common multiple of 3 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**2 + 0*i**2 - 2*i**5 + (i + 3*i - i)*(2*i**4 + 4*i**4 - 4*i**4).\nAnswer: 4*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18035023 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 AM and 3:01 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -932, -1968, -3000, -4022, -5028, -6012, -6968, -7890?\n\"Answer: j**3 - 4*j**2 - 1031*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*f + 8*t = 83, 0 = 17*f - 12*f - 5*t + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 q, and 1 p when three letters picked without replacement from gpppqjdpppsqpp?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011966 to 4 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1332, 1204, 1076, 948, 820, 692?\n\"Answer: -128*j + 1460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 79 divided by 47.\nAnswer: 79\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27135 or 26916?\nAnswer: 26916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 261606, -12 in ascending order.\nAnswer: -12, 0, 261606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -523\/10?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -539390 by 52.\nAnswer: -269695\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1160818*g. Let k(l) = 2*l**2. Give s(k(x)).\nAnswer: 2321636*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 131002 - -11?\nAnswer: 131013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1407056071 to five decimal places.\nAnswer: -0.14071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8772 + -0.87. What is q rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11434001 (base 5) in base 6?\nAnswer: 2154522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 x when three letters picked without replacement from cxxxxcxxxxxxx.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 11:10 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - 0)*6\/3. Suppose -5*n + 6 = -3*r, 0 = 2*n + a*r + 13 - 5. Suppose -3*y - 2*w + 22 = n, 4*w - 32 + 4 = -4*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48 - 21\/2*w**2 + 93\/2*w - 3\/8*w**3.\nAnswer: -3*(w - 2)**2*(w + 32)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 + 169. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210658 + 5.7?\nAnswer: 210663.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let m(r) = -r**2 + 7*r - 2. Let o be m(6). Let g be w(o). Let h = g + 11. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263728 is divided by 2101?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.619 to one dp.\nAnswer: 26.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 + 40. Let z be (-1 - (-1 - 1))*(3 - -4). Calculate the remainder when b is divided by z\/(5 - 5 - 2 - -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a + 18. Let p be z(6). Let h = 88 - 81. Let k be (p - 0)\/(8 - h). Solve -l - 7 = -f + 4*l, -5*f + 3*l - 9 = k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22500 - 22497. Solve 4*r - 12 = -2*x, 0 = 3*x + x + c*r - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 11:48 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69561151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 61299439 to the power of 1\/2, to the nearest integer?\nAnswer: 7829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1010d4b (base 14) to base 13\nAnswer: -1750b34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25\/2 or 42287?\nAnswer: 42287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 - 1256 - 1382 = 166*m for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 0.01564\nAnswer: 0.04692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 18496 (c) 0.027\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.009156 to 4 dps.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2712?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -73*q. Let w(k) = 25*k. Suppose -3*p - 50 = -5*o - 7*p, 2*o = 2*p + 2. Let t(s) = o*y(s) + 17*w(s). Let g(d) = 10*d**2. Calculate t(g(c)).\nAnswer: -130*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let p be -8*1*(-3 + q). Suppose 132 = 4*c + p. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 7, g: 2}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -770 or -516?\nAnswer: -516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -166 - -159. Let j(n) = -13*n**4 + 656*n**2 + 294. Let l(y) = 9*y**4 - 437*y**2 - 196. Let m(w) = c*l(w) - 5*j(w). Differentiate m(g) with respect to g.\nAnswer: 8*g**3 - 442*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) -13 (c) -15 (d) -917\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17258, 17257, 17256, 17255, 17254, 17253?\nAnswer: 17252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((168\/36)\/(-7))\/((-60)\/(-27)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-4 - -3) - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 6, b: 8, k: 1}. Give prob of picking 2 y.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(68)\/sqrt(4) + sqrt(17) - (3 + sqrt(17)*-1))*1)**2.\nAnswer: -42*sqrt(17) + 842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f + 3*f**2 + f)*((-4*f - 2*f + 7*f)*(-3*f + 3*f + f**2) + 20*f - 3*f**3 - 20*f).\nAnswer: -6*f**5 + 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c - 1321*c**3 + 0*c - 2307*c**3 - 9303*c**3.\nAnswer: -12931*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**2 - o**2 - 3*o**2 + 3*o**2. Let h(y) = -11*y**2. Determine h(i(k)).\nAnswer: -99*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 2138*y - 33. Let j(v) = -537*v + 8. Give -9*j(t) - 2*w(t).\nAnswer: 557*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 135650617849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyu when four letters picked without replacement from yhuuyuyhuuyyuyu.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 7) to base 2.\nAnswer: 101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x - 8. Let l be u(-13). Let q = -14 + l. Solve 0 = 4*g - q - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (29 + -107)*2\/(-4). Suppose -5*o - z + 164 = 0, o - d - 9 = -4*z. Suppose 2*p + 8 = 3*p. What is the highest common divisor of p and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -29, -73, -135, -215?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -208*i**3*z**3 + 296*i**3*z**2 + i**3 + 7*i**2*z**2 + 7*i*z**5 wrt z.\nAnswer: -1248*i**3 + 420*i*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3 + 19812*g**2 + 418216*g - 1989600.\nAnswer: -4*(g - 4974)*(g - 4)*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4764719 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -55, -71, -105, -163, -251, -375?\nAnswer: -541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -68 and 179691?\nAnswer: -12218988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/93 and -149\/3060.\nAnswer: 94860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 485 is divided by 213.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = f - 5, d = -5*f - 6 - 17. Let v(g) = -g**2 + 5. Let r be v(-3). Let k be 9\/r - 2\/d. Is k not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.291 - -0.31. Let h = y + -3.019. Which is the second smallest value? (a) -1 (b) h (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -503\/5 - -100. Let t = 59 - 59.3. Which is the smallest value? (a) u (b) 4 (c) t (d) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by (0 - (-1 + 0))\/((-258)\/(-2838))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - 0.1. Let i be 1 - (-4 - (-87)\/18). Let g = -0.26 - -0.86. Which is the closest to -2\/3? (a) g (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1009772318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8.9, 4\/7, -0.4 in ascending order.\nAnswer: -8.9, -4, -0.4, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 64 - 1 - (3299 + -3249)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 14*g**2 - 80*g + 32. Let c be w(6). Calculate the greatest common divisor of c and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, x: 2, w: 2}. Give prob of sequence tt.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229 + -128. Suppose -12 + g = y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-6\/7))**(-18) assuming f is positive.\nAnswer: f**(108\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 147*b + 113. Does 21 divide w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24648 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368*n - 270 = -374*n. What is the highest common divisor of 25 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u = -5012 + 5262 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/11 in -1, 0.4, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-4*((sqrt(11) + 1 + sqrt(275))**2 - sqrt(55)\/(1*sqrt(5))).\nAnswer: -9528 - 264*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + t**3 - 4*t + 7*t)*((2 - 5 + 4)*(2 + 2 - 3) + (-4 + 0 + 3)*(53 - 10 + 17)).\nAnswer: -59*t**3 - 413*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2041*r + 1728*r = -1252 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1881 and 99?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -177 * -0.107\nAnswer: 18.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + 212*u**2 + 40*u**3 - 427*u**2 + 211*u**2 + 0*u in the form y*u + h*u**2 + b*u**3 + o and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*i - 5*z + 24, -4*z = i - 22. Solve 2*t**3 + 0 + t - 1\/2*t**4 - 5\/2*t**i = 0 for t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/25*45\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.09 (b) 5 (c) -0.2 (d) 7 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -13. Suppose d = b - 0*b - 4. What is the second derivative of -2*o + b*o - 6*o - o**3 wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 8:00 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-193)\/(-5) - (-77 + 32555\/425)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-565)\/(-1155) - 22\/363. Factor 0 + g*j**3 + 3\/7*j**2 + 0*j.\nAnswer: 3*j**2*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**10*c*c*c*c**(-21)*c**(9\/4)*c*c**(3\/5) assuming c is positive.\nAnswer: c**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (68 - 67)*23 + 22\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**2 + 2*x - 2. Let g = 19 + -19. Suppose g*r + 7*r = -77. Let u(s) = -15*s**2 - 11*s + 11. What is r*q(h) - 2*u(h)?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 15 = 0, -2*s - 5*i + 1 = -8. What is the highest common factor of s and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.2 - -4.5. Let m = -0.7 + v. Let i = 28.00000049 - m. Round i to 7 decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 + 2 - -13)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*b - 8188 + 24*b + 5267 as m + q*b and give m.\nAnswer: -2921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/138, -0.032, -5\/6?\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44283?\nAnswer: 3, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2e + e33?\nAnswer: e05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (o**4 + 3*o**4 - 3*o**4)*(-2 - 1 + 1) + 44*o**3 - 7*o**4 - 44*o**3 in the form x*o**2 + h*o**4 + f + d*o + i*o**3 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10 - -1 - -6)*(-2)\/(-2). Let m(v) = 2*v - 9. Let u be m(3). Is 4\/w*(u + 315\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 37113 and 2340?\nAnswer: 28948140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -l + 2*h + 4, 4*l = -4*h. Factor l*d**3 - 4*d - 9*d**2 - d**2 - 2*d**4 + 8*d**4 + 4*d**2.\nAnswer: 2*d*(d - 1)*(d + 1)*(3*d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -73. What is the tens digit of (-2)\/k + -13 + 110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 914770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 859840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1144*w - 225 + 225)*(-2*w + w - 2*w) as s*w**2 + f + g*w and give s.\nAnswer: -3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -q + 116, 2*q - 2*p + 0*p = 248. Let c be 2 + -1 - 2 - -85. What is the greatest common factor of c and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u - u + 8 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1142 = 253*n - 114*n + 1499 for n.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 64.08643km?\nAnswer: 6408643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62 + 49 + 53)*(-j**5 + 3*j**5 - 4*j**5).\nAnswer: -80*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(4)*2)\/(sqrt(98)*-3 - sqrt(2)) + 2 + (-3*((sqrt(162) + -1 - sqrt(162)) + -2))**2.\nAnswer: 5*sqrt(2)\/11 + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 95143346013.96 from 4.\nAnswer: -95143346009.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2\/3 - 9100*a + 12421500.\nAnswer: 5*(a - 2730)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 7:21 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163865 is divided by 3986.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*l - 373 + 84 = 0, -5*x - 280 = 5*l. Let u = x + 72. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*t**4 + t**2 - t - 180?\nAnswer: -1344*t**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 44629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 334*l**4 + 78*l + 1.\nAnswer: 4008*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (3 + (27 - 20))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at least as big as 15337933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 + 125. Solve -3*s + 6*u - k = 2*u, -2*s = u + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**3 - 349*f - 1 + f**3 + 11*f**2 + 341*f - 28*f**2. Suppose -3*d - 25 = 4*z + 5, -21 = 5*d - 3*z. Does 5 divide a(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 228*p**2 - 216*p**2 + p - p.\nAnswer: 12*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g**2 - 2*g - 4. Let c(h) = 4*h - 9. Let m be c(3). Suppose -5*b - m = 7. What are the prime factors of i(b)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6540 (base 9) to base 13\nAnswer: -2265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2.1. Suppose -b - 4*f = 24, 11 + 4 = -3*f. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/31992 and 47\/30.\nAnswer: 159960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, q: 4, o: 6}. What is prob of picking 3 i and 1 q?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - k = 4. Let d be (0 - k) + 7\/(-5). Is 1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 7*r**2 + r - 1. Let y be k(1). Which is smaller: y or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*a + 49 = 5*v, -2*a = 6. Let j be (2\/24)\/((-12)\/v - -1). Put j, -7, 5 in descending order.\nAnswer: 5, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -187*a**7\/210 + 109*a**5\/30 - 2*a**2 + 49. Find the third derivative of k(x) wrt x.\nAnswer: -4488*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o + 8. Let u(m) = -6*m - 5. Let s(x) = 2*x + 3. Suppose 0 = 9*z + 486 - 567. Let h(w) = z*s(w) + 4*u(w). Determine 6*h(a) - 5*j(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 119399*m - 358072. Calculate y(3).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 5 + 10*t - t**4 - 14*t to the form f*t**4 + x + i*t**2 + z*t + c*t**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 291, 490, 693, 900, 1111?\nAnswer: 1326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1820 + 1820. Let m = -9\/7 - -1. What is the closest to m in -16, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.1886 decades in years?\nAnswer: 7401.886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = 87*t - 111. Let p(j) = 21*j - 7. Let y(a) = 10*a - 3. Let m(g) = g**2 - g - 5. Let b be m(4). Calculate b*y(i) + t*p(i).\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 10 = 2*b + 5*f, -4*b + 2*f = 4. Let o be (1 - b) + 84\/6. Calculate the highest common factor of o and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 17*v - 1028. Let p(a) = 3*a + 24. What is 6*p(g) - q(g)?\nAnswer: g + 1172","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 + 8*f - 4. Let r be t(-8). What is the tens digit of ((-3 - r) + 1)*(-118)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5 = -2*v, -3*v + 23 = -2*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o + 7. Let h(c) = 5*c - 6. Suppose -3*r - 3*f = 2*f - 5, 5*f - 5 = 4*r. Let g = -11 + 17. Suppose i + r = g. What is i*m(x) + 7*h(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/(-2))\/((-69)\/23).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2013*u**2 + 1012*u**2 + 1004*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1\/5, 1\/4, 1\/6, -5\/837?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(1\/2)*(k*k*k**(-4))\/k**(-1\/5))\/((k**(-1))**(-2\/65))**(4\/11) assuming k is positive.\nAnswer: k**(-259\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 239 + -57887497?\nAnswer: -57887258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -18290000 to the nearest one million.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3984 and -5.\nAnswer: -19920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13266 (base 9) to base 4\nAnswer: -2030022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303008?\nAnswer: 2, 17, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 349405753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/9 - 134*l**3\/9 - 388*l**2\/9 - 256*l\/9 = 0.\nAnswer: -64, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 100101110110101000110010000?\nAnswer: -100101110110101000110001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 + 3.98. Let g = 3.6 - l. What is the second biggest value in g, 2\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/22 - -1 - ((-327)\/(-33) + -5). Which is the closest to 0.2? (a) u (b) -404 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104 and 19630.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 1 - 1)*(-24*k - 21*k - 4*k) - k**2 - 2*k**2 + 0*k**2 + (2 + 3 - 3)*(2*k**2 - k**2 - 2*k**2).\nAnswer: 387*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - f + 0*f + (0 + 1 - 33)*(3 - f - 3))*(f - 5*f + f) - 3*f**2 + 6*f**2 - 4*f**2.\nAnswer: -106*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 k when four letters picked without replacement from {k: 7, l: 5}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 5 = -5*d, 2*d + 5*q + 20 = 37 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/(-6) + (-3392 - -3278).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - x = -12, 51*q - 5*x = 53*q - 48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(525) - (sqrt(525) - sqrt(525)*-1)) + sqrt(525) + sqrt(21)))\/(((sqrt(35) - (sqrt(1715)*-1 - sqrt(35))) + sqrt(35))\/sqrt(5)).\nAnswer: sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 7 + 2)*(4 + 8*r - 4)*(2*r - 7 + 7)*(r + 2*r - r) in the form x + q*r + g*r**3 + a*r**2 and give g.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1543 - 1542.6. Which is the fourth smallest value? (a) 14\/11 (b) 1 (c) 11 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5 - 24*i**4 + 4*i**3 + 24*i**2 = 0. What is i?\nAnswer: -6, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 69 = 3*p, 273*p - 280*p + 7 = 0 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -68703, -274815, -618335, -1099263?\n\"Answer: -68704*m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -421 - -437. Calculate the greatest common factor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*f - 7, -3*a + 3*f - 5 - 10 = 0. Let i = -3 - a. Suppose i*r - 10 = -2*r. Solve 3 - r = 2*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 64, 3, 2, -26?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-56))\/((-250)\/(-175)).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 + 4\/(-4 - -3). Determine u so that 2*u**2 + 2*u**3 - u**5 - 2*u**j + 2*u**3 + u**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-13)*(g*(g*g**(-16)*g)\/g*g)\/g)**(-32\/5) assuming g is positive.\nAnswer: g**(864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(2*2\/4). Let j(h) be the third derivative of 17*h**4\/24 - h**3\/6 + 4*h**2. Calculate the remainder when 46 is divided by j(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -373, 8, -2, -4, -55 in increasing order.\nAnswer: -373, -55, -4, -2, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4 - 11*i**2 + 26*i**2 - 16*i**2 + 6*i. Suppose u + 0*c = -c + 2, -13 = -3*u + 4*c. Let f be h(u). Calculate the highest common divisor of 40 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - (-1)\/2)\/(-2 - -5). Let r = -1.3 - -0.3. What is the closest to p in r, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-3 + 5 - 3 - 2 - 1 + 2 + (3 - 4 + 2)*(7 - 3 - 3))*(-21*n + 0*n + 0*n).\nAnswer: 21*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -42 in increasing order.\nAnswer: -42, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 80 - 72. Suppose -x*s + 20*s - 60 = 0. Let d = 9 + 6. Solve 0 = 3*b - 5*v - 15, s*b - v - 4*v - d = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1474*n**3 - 2956*n**3 + 1478*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k + 192. Let v be u(5). Let m = v - 162. Solve 6 - m = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32\/5 of a millennium?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32942550 by 439234.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/11 + 2669696\/1408. Calculate the highest common factor of 144 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 3*i**3 + 0 + 4241*i**3 + 4920*i**3 - 10270*i**3 + i**3 - i**2 + i**2 + (2*i + 2*i - 6*i)*(i + 2*i**2 - i).\nAnswer: -1115*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - 3. Let l = d + 29. Calculate the remainder when 1 is divided by (-1)\/2 - (-6)\/l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -1, 3279, -139 in increasing order.\nAnswer: -139, -55, -1, 3279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/90 + w**4\/8 + w**3 - 7*w**2. Let l(a) be the first derivative of h(a). Differentiate l(g) wrt g.\nAnswer: -8*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3460 - -3459.9. Let i be ((-9)\/(-26))\/3*-2. Is i less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -76*u**4 - 236*u**3 - 176*u**2 - 16*u = 0.\nAnswer: -2, -1, -2\/19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, -4, -3, 5, -14 in ascending order.\nAnswer: -14, -4, -3, 3, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 366166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l + 4. Let h(x) = -112*x + 63. Let g(d) = 63*f(d) - 4*h(d). Let p(r) be the first derivative of -2*r**3\/3 - 18. Calculate g(p(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -1\/6*f**4 + 0 - 5\/6*f**3 + 0*f - f**2 - 1\/60*f**5. Give r(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10021614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 3)*3\/(-6)*-1. Solve l = 4*c - 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*o - 108 = 124. Let h be 1320\/14 - 20\/70. Let j = h - 56. What is the lowest common multiple of j and o?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1088) + 0 + sqrt(1088) + 5 + sqrt(1088) + sqrt(1088)*2*-1 + -1 + 2)**2.\nAnswer: 64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3435*w**3 - 3*w**2 - 3*w + 1. Let m be g(-2). Suppose 5*i + m = 5*r, -i - 3*r - 27515 = 4*i. Round i to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*q**2 - 24*q**2 - 28*q**2 + (1 + q - 1)*(-2 + 0 + 5)*(q - 2*q - 3*q).\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 6*d = 42, 10778*d = -4*g + 10783*d - 13 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h + 30*h**2 + h + 49*h**2 + 7*h**2 + 6*h to the form t*h + l*h**2 + d and give l.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.7 and -0.0156.\nAnswer: -0.7156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010000101111101 - 0?\nAnswer: -101010000101111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2100223 (base 4) to base 13.\nAnswer: 42a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 6, c: 7, p: 1, m: 2}. Give prob of picking 1 p and 2 m.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1034\/131 or -1\/16?\nAnswer: 1034\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -9. Let k be (-1)\/3 + y\/(-12). Let h(l) = -l + 2. Let a be h(6). What is the third smallest value in 2, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 92739?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h - 4. Let k be i(4). Calculate the highest common factor of 30 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10217*5\nAnswer: -51085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 6*r - 21. What is t(10)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -200*c + 604. What is r(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*z - 19*z = 1998. Let w = -325 + z. Suppose 7*g - 63 = 4*g. Calculate the remainder when g is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254858434?\nAnswer: 2, 127429217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 6*n**2 + 28*n - 5. Let v be l(9). Solve d = 2*c - 6, v*d - 5*c = d - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 4)*(-3*o - 4*o + 5*o)*((-6*o + 4*o + 3*o)*(-2 + 0 + 1) - 2*o - o + 5*o) as l*o + x*o**2 + i and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 9*h**2. Let b = 11 + -7. Let j(r) = -5*r**2. Let p(i) = b*f(i) + 7*j(i). Let n(o) be the second derivative of 7*o**3\/3 - 40*o - 55. What is p(n(v))?\nAnswer: 196*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 4:14 AM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 3001*z**2 + 11*z + 668*z**2 - 11*z - 1045*z**2 in the form a + j*z**2 + l*z and give j.\nAnswer: 2624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17415706.\nAnswer: 2, 7, 11, 113089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 297407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 644 = -2*b - 649, -t = -5*b - 14 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -27. What is the third derivative of -4*y**3 - 19*y**4 + 12*y**2 + b - 19*y**4 + 35*y**4 wrt y?\nAnswer: -72*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56252 divided by 2009.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 25.9. Let c = -2 + y. Let u(f) = -f**3 + 4*f**2 + 6*f - 5. Let d be u(5). What is the nearest to d in c, -2\/19, -1\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 1 + 1, 5*z - 3*q - 74 = 0. Suppose -2*c + 48 = -5*k, z = 2*c - 0*c + 3*k. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a + 3. Let v be w(-4). Is 3 a factor of 6\/(-3*v\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 10 = -c + 28, -15 = -c + 2*x. Suppose 2*q + 2042 = -14*l + c*l, 5*q = 5*l - 3405. What are the prime factors of l?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*r**5 + 10642*r**3 + 287*r + 183?\nAnswer: 360*r**3 + 63852*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000138881 to 6 dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by 1145.\nAnswer: -18\/1145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 + 11)\/66*8\/98?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(26)\/(((sqrt(10) - (sqrt(10) - (sqrt(10)*-1 - sqrt(10)))) + sqrt(10))\/sqrt(5)) - (sqrt(13)*1*6 - (sqrt(52)\/sqrt(4) + -5))) + -4)**2.\nAnswer: 108*sqrt(13) + 549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -195\/259819?\nAnswer: -195\/259819","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -0.0970709?\nAnswer: -0.2029291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 2036*y**3 - 4056*y**2.\nAnswer: -4*y**2*(y - 507)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/x**(-1\/8))*x*x*x**3)\/(x**(-2\/5))**(-3\/7) assuming x is positive.\nAnswer: x**(1317\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56535, -52707, -48877, -45045, -41211?\nAnswer: -37375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*g**3*w**3 + 14*g**3*w**2 + 456*g**3 + 3*g*w**3 + 46*w**3 wrt w.\nAnswer: 60*g**3 + 18*g + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 4*o**2 + 2*o**2 + 9*o**2 as m*o + u*o**2 + h and give h.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + 3231?\nAnswer: 3235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 + -43. Let r = c - 10. Is 2 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or 0.038711992?\nAnswer: 0.038711992","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2113*r**2 - 4*r - 34. Let p(x) = -4*x. What is p(t(b))?\nAnswer: 8452*b**2 + 16*b + 136","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061?\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/1222326 and -79\/945.\nAnswer: 18334890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155004 + 234804 = 16*s. Suppose -q = -6*q, 0 = -3*l - 2*q + s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69662124 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 273541?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -139\/12570 and 139\/330?\nAnswer: 138270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -3)*-11 - (714\/34 - 25)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o. Let a(l) = 24*l + 1. Give 2*a(t) + 9*c(t).\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 4*t + 88 - 6, -5*t = -r + 82. What is the highest common factor of 697 and r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 470*3243.53\nAnswer: 1524459.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*o - 4*z, -4*o + 9*o - 3*z + 20 = 0. Which is the nearest to o? (a) 28 (b) -7 (c) -0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8683512 is divided by 2894497.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*h - 22480 - 20031 = 7787. Sort 2, 5, h in decreasing order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8842 - 8845. Let t = 0.1 - -0.1. Let s be ((-2)\/3)\/(4\/(-6)). What is the closest to s in -1\/6, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -171 + 4534?\nAnswer: 4353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*g - 432 = 42*g. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 1521*p - 57918. Determine r(38).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x**3\/7 - 4240*x**2 - 177936*x\/7 = 0. What is x?\nAnswer: -7414, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 372 + -90. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408016*f + 407984*f + 448 = 0 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1162.38*-1.285\nAnswer: -1493.6583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 6*y**2 - 6*y + 8. Give f(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in one fifth of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.7 (b) -1\/5 (c) -3.94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5496103?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7321991944 rounded to 4 dps?\nAnswer: 0.7322","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(1\/10)\/f**(-2) assuming f is positive.\nAnswer: f**(21\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1229600 to the nearest 10000.\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 47 = -17*i + 68. Solve 74 = i*x + 44 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of -32*i**4\/3 + 99*i**2. Does 16 divide q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - -30 - (5 + 2 + -4) - 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 3780?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5\/9 + 14416*s**4\/9 - 26432798*s**3\/9 + 1633161136*s**2\/9 + 26432800*s\/9 - 1633175552\/9 = 0.\nAnswer: -1, 1, 64, 3572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 0 - 1426\/341\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, g: 4, h: 2, a: 3}. What is prob of sequence hga?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 163354638 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 10305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*t**4 + 22235*t**3 + 116810*t**2 + 163860*t + 37800 = 0. What is t?\nAnswer: -630, -3, -2, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:05 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -223 + 15241?\nAnswer: 15018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26592, 51500, 74582, 95844, 115292, 132932?\nAnswer: 148770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 2177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*d + 2*n, 3*n = -2*d + 1 + 7 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*b = -3*l + 175*b + 12, 2*l + 4*b = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (2 + (-7 - 7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r + 3. What is the common denominator of 31\/20 and (119 - (-3)\/r)\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14229 is divided by 56?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j**5 - 134*j**4 + j - 28565 wrt j.\nAnswer: -360*j**3 - 1608*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*v + 5*v = -26. Which is the nearest to 2? (a) -1 (b) -2\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 6*n - 1. Let f be k(1). Let h(r) = -3*r + 3. Let o(x) = 4*x - 4. Let w(a) = 7*h(a) + 5*o(a). Calculate w(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - z + 1. Let i(m) = 9*m**3 + 6*m**2 + m + 1. Let w(p) = -i(p) + 2*k(p). Let b be -6*(1 - (-1)\/(-2)). Is w(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -343836.9166 plus -2778.06?\nAnswer: -346614.9766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14.04 - 0.04. Let m = l - 2. Let j = 16 - m. Sort 4\/7, j, 3 in decreasing order.\nAnswer: j, 3, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/3*17\/(510\/36). Suppose -g*j = -15*j - 790. List the prime factors of j.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 522598*n**3 - 261710*n**3 - 260925*n**3 + 2*n.\nAnswer: -37*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284 or 3676\/13?\nAnswer: 3676\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + 37. Calculate the greatest common divisor of 17 and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 16 - 55) + 59?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 7*m - 6604. Let q(x) = -2*x**2 - 6*x - 6603. Determine 6*j(z) - 7*q(z).\nAnswer: 2*z**2 + 6597","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/369517 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -14. Let l be (-2)\/(-12) - 1477\/42. Let x = 45 + l. Solve -x - 10 = r*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1111100?\nAnswer: -1111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008442561 to five decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*((-2*g - g + 2*g)*(2 - 1 + 2) + g - 3*g + 0*g - g - 2*g + 4*g) to the form a*g + d and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from fapptpmp?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 22*i**4 - 40*i**3 + 24*i**2 = 0 for i.\nAnswer: 0, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2 - 0) + -1 - -6) + 3. What is the greatest common factor of f and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - o = 2*o - 3, -2*h - o = 0. Let b be -7 - (0 - 2) - h. Find the common denominator of -91\/10 and 82\/(-14) + (b - -5).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3548*n**2 + 18. Let d(o) = -29349055*o**2 + 148890. What is 3*d(s) - 24815*r(s)?\nAnswer: -3545*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 4 - 6)*(0 + 0 - v)*(1 - 1 + 4*v**2)*(-2 + 2 - v).\nAnswer: 64*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the first derivative of v**4\/6 + 796*v**3\/3 + 158404*v**2 + 126089584*v\/3 + 393. Let j(i) = 0. What is i?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1e08b3 (base 15) in base 10?\nAnswer: 1470093","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010100110110100 (base 2) to base 5.\nAnswer: 4414322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -18*q**2. Let h(a) = -26*a. Calculate u(h(y)).\nAnswer: -12168*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 - -26. Let c be -26*2\/(y\/2). Suppose -5*b + 2*a - 7*a = -5, -4*b + 36 = -4*a. Solve -4*i + j = -20, b*j = 6 - c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68408082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 + 20.6. Let p = 23 - q. Let f = 0.8 + p. Which is the second smallest value? (a) f (b) 1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2951623*k*m**3 - 91*k*m + 15*m**4 - 2465122*m**2 wrt m?\nAnswer: 17709738*k + 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -406453 divided by 15\nAnswer: -406453\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2427 + -26733\/11. Let x be (3\/3)\/((-1)\/(-6)). Calculate the common denominator of ((-276)\/(-45))\/((-4)\/x) and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 5) in base 2?\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w - 3. Let o be g(-2). Suppose 3*d - o = 6. Factor -2*u**4 - 3*u**4 - 3*u**d + 2*u**4 + 3*u**2 + 3*u**3.\nAnswer: -3*u**2*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 96. Suppose 0 = j - 1, -5*f + 6 + m = -3*j. Sort -2, -4, f, 0.\nAnswer: -4, -2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 646372 (base 8) to base 15\nAnswer: 4415e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s. Let q(k) be the third derivative of -k**5\/60 + 10*k**2. Give w(q(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 6, 3, 1, 2\/125 in descending order.\nAnswer: 6, 3, 1, 2\/125, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5516 by 1379.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 9)*5\/25.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2662543 and 2834?\nAnswer: 1417","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 101 = 4*n + 30*g, -31*n - 18*g + 28 + 143 = -23*g for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y. Let l(o) = -o**2 - o - 7. Let d(b) = -1. Let t(f) = 4*d(f) - l(f). Is 3 a factor of t(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 12. Let q be f(-8). Let b(p) = 5*p - 5*p + q*p - 2. Does 9 divide b(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15\/5*(-5)\/3*-5. Let a = -22 + v. Suppose 42 - 12 = a*u. Solve 0 = 5*y - u, 2*y - 16 = q + 3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 13*b + 30 = 0. Suppose -2*l + 25 = g, 0 = 2*l - 0*l - 4*g. What is the highest common divisor of b and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-3))\/(1645\/105). Let t = -727\/3008 + v. Find the common denominator of t and -3\/88.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/(-4)*10\/(-1). What is the second derivative of -3*x + 35*x**3 + 3*x**5 + 2*x - i*x**3 wrt x?\nAnswer: 60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 2*l**2 + 11. Let f be m(0). Let h(w) = 16*w - 171. Calculate the remainder when (23 - 1) + 3 + -1 is divided by h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**3 - 30*f**2 - 40*f - 203. Is w(-47) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - 3)*4\/(-6). Suppose 5*w - 70 = -5*t, -s*t + w = -4*w - 11. Let x = t - -10. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 745640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 7:14 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i = 70*i - 48 - 218 for i.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 10) to base 11.\nAnswer: 2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -4*y + s, -8*y = -7*y - 2*s - 3. Sort -4, -106, 3, y.\nAnswer: -106, -4, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 38*u**4 + u**3\/3 - 3*u**2\/2 + 2*u - 6. Let c be ((-2)\/3)\/(44\/(-66)). List the prime factors of w(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 687 is divided by 34.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 4 + 2 + 2 + 7*l + 0*l in the form d + y*l and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.4752 months in centuries?\nAnswer: 0.082896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:12 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 2, 4, 60.\nAnswer: -5, 0, 2, 4, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -341, -277, -223, -185, -169, -181, -227, -313?\n\"Answer: -y**3 + y**2 + 68*y - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*p - 10 = 0. Let o(w) = -w**3 - 15*w**2 + 16*w + 2. Let r be o(-16). Differentiate 0*d**r + 2 - d**2 - d**p wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1) + 2 + 3. Let c be (-36)\/(-24) - 18\/(-4). Solve -c*r + 8 = -s*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 52, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175950 + 567333 = 9*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 18*q - 22. Let d(r) = -4*r - 30. Let n be d(-7). Let x(g) = 72*g - 89. Let w(l) = n*x(l) + 9*z(l). Differentiate w(o) with respect to o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - 4*n + 5. Let q be d(4). Solve 10 = -5*i + r, 4*i - q*r + 10 = -19 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001737879 rounded to seven dps?\nAnswer: 0.0000174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(704))\/(sqrt(2) + sqrt(32)*-3 + sqrt(2)))\/(sqrt(33)\/sqrt(3)*-2 + -5*sqrt(176)).\nAnswer: 6*sqrt(2)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-12)\/8 - 152\/(-112)). Solve 0 = 3*b - o*b + 8 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**4\/12 + 5*v**2. Let t(y) = 2*y**2. What is t(w(f))?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 5*k. Let z(l) = -l. Calculate r(f) - 3*z(f).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*j - j - 24, -7 = -v - 3*j. Let r be 3\/6 + (-22)\/v. Sort 0.5, 0, r.\nAnswer: r, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-20)\/(-6) + (-4)\/(-12)*-1. Let b be (-1)\/(y\/(-14)) + (-8)\/12. Suppose -3*u = 2*q - 124, -b*u = 3*q - 0*u - 187. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**6 + 95439326*k**4 + 466943*k**2 - k - 6 wrt k.\nAnswer: 120*k**3 + 2290543824*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27 - (-2856)\/(-105))*(1 - 16). Let h(c) = -c**3 + 4*c**2 - 3*c + 2. Let x(r) = -2*r**3 + 7*r**2 - 5*r + 4. Give u*x(s) - 5*h(s).\nAnswer: -s**3 + s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 86187835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange k**2 + 28*k + 22*k + 3 - 49*k - 2*k**3 - 17 to the form w*k**3 + c + a*k + h*k**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-4*sqrt(6)\/sqrt(3) + sqrt(2)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f - 366. Let l(y) = -y - 122. Let c(d) = -3*l(d) + o(d). Let n(m) = m + 10103. Calculate n(c(v)).\nAnswer: v + 10103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 2*b. Suppose -5*h + 46 + 439 = b. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(3\/3)\/1. Let i be 77\/(-14) + z\/(-2). Let c(l) = l**2 + 3*l + 2. What is the units digit of c(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 144924, 578465, 1301034, 2312631, 3613256, 5202909?\n\"Answer: 144514*c**2 - c + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 8*u - 14. Let r be h(2). Is 2\/421 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10093223, 20186453, 30279687, 40372925?\n\"Answer: 2*t**2 + 10093224*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hvxhhfvvvhhhvlvp. Give prob of picking 1 l, 1 v, and 2 h.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 47. Let y(n) be the first derivative of -55*n**2 + 11 + 24*n**w + 30*n**2. Let s(j) = 16*j. What is s(y(a))?\nAnswer: -32*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)\/a*a**(-19)*(a**(2\/33)\/a)\/a**(-23) assuming a is positive.\nAnswer: a**(-97\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 11:26 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 - 90 = -5*d. Suppose 3*o + 2*o = d. Suppose -o - 13 = -5*t. Solve -6*f + 2*f - 3*b - 27 = 0, 3*f + t*b + 29 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*l**4 + 7368*l**3 + 3*l - 7368*l**3 wrt l?\nAnswer: -612*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*c + 3509 = -14*c - 146*c - 779 for c.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1568*c + 1112 - 775 - 5*c**3 - 337.\nAnswer: -5*c**3 + 1568*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 9. Let k(v) = -2*v - 13. Determine 5*k(l) + 8*r(l).\nAnswer: -2*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -0*i + 4*i - 24, 3*i + 3*w = 15. Calculate the remainder when 35 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdf when three letters picked without replacement from {d: 2, j: 4, m: 7, i: 1, f: 1}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 3 + -2 - (-7 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5421800, -5421802, -5421802, -5421800, -5421796, -5421790?\nAnswer: -5421782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(55)\/(sqrt(40)\/sqrt(8)) + (-2 + sqrt(396) - sqrt(396))**2.\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00306759755 to 5 decimal places.\nAnswer: -0.00307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.75 - -1.15. Let d be (-2)\/6*9\/6. What is the fourth smallest value in d, -3, -3\/5, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 328 = -62. Suppose 4*c - 10 = t. Suppose 0 = -3*g - 5*q + c, -2*q + 4*q = 3*g - 28. Solve -g = 4*d + d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 3*j + 9 = 0, 7 + 0 = -2*l + j. Let i(h) = -3*h + 25. Let v be i(18). Let r = v + 32. Put r, l, 1, -2 in decreasing order.\nAnswer: r, 1, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(125))*-6 + (((sqrt(125)*-1 - sqrt(125)) + sqrt(125) - sqrt(125)) + 0 - sqrt(125))**2 + -5)*-3.\nAnswer: -3342 + 90*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000663482047 to 6 dps.\nAnswer: -0.000663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1505848394 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*m + 6. What is the greatest common divisor of 6 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -2*a + 53. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4805999\/27431516 + -20\/51563. What is the common denominator of 63\/152 and n?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76569, -153200, -229831, -306462?\nAnswer: -383093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11.1, -2, 1\/7?\nAnswer: -11.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2 + -41.603913932.\nAnswer: -41.403913932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {i: 9, y: 9}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -17\/452 (b) -0.5 (c) -7 (d) 7 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u = 2*k + 181, -2*u = 6. Let a = k + 87. Suppose -p + 3 = -a. Solve -2*t + p*h - 21 = 5, -2*t - 2*h = 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0, -1\/3, 0.48, 0.4?\nAnswer: 0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28702665 to the power of 1\/2, to the nearest integer?\nAnswer: 5357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17400960 by 543780.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 52?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(9) + sqrt(36))*5 - sqrt(144)*6)\/(sqrt(192) + sqrt(192) + (sqrt(192)*-1 - sqrt(192))*4 + sqrt(192)).\nAnswer: 27*sqrt(3)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -5*n - 2. Let y(g) = -g**3 - 22*g**2 - 97*g - 1135. Let j be y(-20). Suppose z - 13 = -2. Suppose -z = 3*a - j. Determine c(a).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l - 44*l = 2*w + 1784, -w + 2364 = 4*l. Calculate the lowest common multiple of l and 28.\nAnswer: 4144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11452139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -3020233313?\nAnswer: -3020233321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590648528?\nAnswer: 2, 59, 313, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 3666*g**2 - 167031*g + 1620. Calculate z(45).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 10441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + (-2*(sqrt(143) + -5*sqrt(143)*-1 - sqrt(143) - sqrt(143))\/sqrt(396))**2 + -1 + 1.\nAnswer: 199\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**2 + 13*a**2 + 8*a**2)*(3 - 1 + 0).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -350 + -169. Which is greater: -520 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50 + -47. Suppose -4*w + 152 = 3*a, 4*w + 261 = 5*a + t*w. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 475, 473, 471, 469, 467, 465?\n\"Answer: -2*q + 477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**2 + 3*k + 8194. Give t(26).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -32, 4, -8.\nAnswer: -32, -8, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16754*i - 2482 = -16900*i for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -883448.2 take away 454?\nAnswer: -883902.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*u + 5*q + 5, u - 4*q = 18. Let o be (-30)\/(-25) - (-8734)\/55. What is the units digit of o\/6 + u\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4107 and 111897953.\nAnswer: 1369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) + (sqrt(294) - (sqrt(294) - sqrt(294)*-3*-6 - sqrt(294))))\/sqrt(6))\/((sqrt(2268) - 4*sqrt(2268))\/sqrt(4)).\nAnswer: -20*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -21*k**2 + 70034*k - 140061. Calculate c(2).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34213 (base 5) to base 2.\nAnswer: -100110000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(76) + 2*sqrt(76)))\/(-2*sqrt(12)\/sqrt(3)).\nAnswer: 9*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4 + 10 - 16*f - 12 + 57*f.\nAnswer: 41*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -i - 2*r - 1, -7*i = -2*i + 5*r - 5 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(0 + 18\/21). Let g = 9 + w. Solve -h - 28 = -5*d, 7*d - 2*d = -g*h + 16 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40321 + 43490.1. Let a = -3351 + l. Round a to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 - 53563*r + 53563*r + 91.\nAnswer: 2*r**2 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 389 - 236. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 0 + 0)*(0*a**2 - 37*a**2 - 78*a**2) + 0*a**3 - 3*a**3 + 4*a**3 to the form u + r*a + k*a**2 + o*a**3 and give o.\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4386 + -2135. What are the prime factors of r?\nAnswer: 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3503 is divided by 285.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*l, 4 = 3*z - z + l for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(1 - 0)*-483*(-70)\/2940.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14817857471 - 0.3?\nAnswer: 14817857470.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 1 - 5*j**2 - 1 + 7*j**2. Let c(z) = -39*z. What is a(c(d))?\nAnswer: 3042*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 7*r**2 + 7*r - 4. Let f be z(6). Suppose 4*l - 4*p = 3*l - 25, -3*l - f*p = 5. Let o = l - -6. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(2\/5)))**(-1\/26)*(s**1\/s)**(-9)*(s*s\/(s**0\/s)*s**(1\/2))**(2\/11) assuming s is positive.\nAnswer: s**(444\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 5*z**2 - z + 2. Let n(o) = -14*o**2 + 4*o - 5. Determine 8*b(d) + 3*n(d).\nAnswer: -2*d**2 + 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, n: 2, q: 3, l: 1, y: 3, u: 3}. What is prob of sequence lk?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w - 9*w - 8*w as y + t*w and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 485911.\nAnswer: 17, 101, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/5344688 and 53\/10.\nAnswer: 26723440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 5*p = -27, 29*r - 28*r + 3*p + 12 = 0. Put r, -2, -84 in increasing order.\nAnswer: -84, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffq when three letters picked without replacement from qqqqqqqfqqqfqf.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(61 - 61 - 41*m)*(4 - 5 + 2)*(3 - 1 - 3) in the form y*m + a and give y.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - (4 - 3))\/4. Suppose -b + j*b = 4*g - 31, g = 2*b - 71. What is the remainder when b is divided by 6\/(-1)*(-1 + -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -5*f - 115, 4*z = -5*f - 0*z - 113. Let q be (-76248)\/f - 3\/(-21). Suppose -5*n - q = -14726. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 8\/3 (b) -41 (c) -5 (d) 0.01 (e) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c8c98 (base 16) in base 10?\nAnswer: 2919576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h - 1 + 1 + (5 - 4 - 7)*(2*h - 3*h + 0*h).\nAnswer: 8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24109000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-115)\/(-138))\/(880\/1056)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4458729 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14883627 + 4?\nAnswer: 14883631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57.14535 millennia?\nAnswer: 57145.35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p = -7*p. Let l = 17\/15 - 1. Do p and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9823.4 to the nearest one thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 11. Let t = v - -4. Let k = -6 + 6.2. What is the second smallest value in 5, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -2077, -4607, -8147, -12697, -18257, -24827?\nAnswer: -32407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 4*l - 5*r - 24, 0 = -5*r. Suppose 5*j = 2*j + l*j. Which is smaller: -2\/245 or j?\nAnswer: -2\/245","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4235 in 18, 0.3, -2\/13, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -7. Let d(y) = -y**2 + 6*y + 4. Let u be d(j). Solve u*n + 2*c = 1 - 5, -n - 5*c - 10 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 94.47 - -0.53. Let d = 86.86 - k. Let s = 0.44 + d. What is s rounded to zero decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**3\/2 - 1260*w**2 - 336987*w\/2 + 516780 = 0.\nAnswer: -120, 3, 957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -265.84259 to zero decimal places.\nAnswer: -266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.000065112 + -0.4\nAnswer: -0.400065112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6237 = z + 4*z - 2*h, -3*z + 4*h = -3745. Suppose -z = -5*c + 1318. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0 - 7*y**2 + 609*y - 631*y - 1 - 3*y**3. What are the prime factors of w(-6)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18629 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + v + 2. Let o be n(0). Suppose -5*u + 5*q + 15 = 0, -5*u + o*q - 6*q - 3 = 0. Let x = 59\/126 + 2\/63. Is u < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - 2*i - 1. Let d be w(-2). Suppose -4*u + 15 = -u. Sort -6, d, u in ascending order.\nAnswer: -6, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 377450409 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z**2 - 3*z + 2. Let c be o(2). Let a be 3\/2*c\/(-6). Suppose -m + 0*m + 384 = -2*b, a*m = -3*b + 1907. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 - 3*j - 5. Let o be (30\/(-9))\/((-2)\/(-3)). What is the lowest common multiple of a(o) and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Suppose -8*c = -4*c. Suppose -4*p = c, d + w*p = -0*p + 4. Solve 3*a = -2*g - 19, -5*g + d*a + 2 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjj. Give prob of sequence jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**2 + 3*s**2 + s**2 + (1 - s - 1)*(2*s + 0*s + 0*s) - 1510*s**2 + 2100*s**2 - 5906*s**2.\nAnswer: -5319*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fflj when four letters picked without replacement from {i: 3, l: 2, f: 10, j: 5}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109826 a multiple of 617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2992 + 1.3. What is m rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**4\/h)\/h*h*(h\/h**(-2\/9)*h*h)\/h)\/(h*h**(-5\/2)*h*h*h**(-1\/2)) assuming h is positive.\nAnswer: h**(47\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqnqfqqqqqqqqqq?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69939.\nAnswer: 3, 19, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 11*x + 47. Let f be v(-9). What is the common denominator of 43\/10 and f\/26 + (-23)\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 1. Let w = 14 - d. What is the highest common factor of 12 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82087175?\nAnswer: 5, 881, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 - -0.1. Let r = 0 + 1. Put 2\/3, r, p in descending order.\nAnswer: p, r, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3954, 3942, 3930, 3918, 3906?\n\"Answer: -12*z + 3966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -92331*g**2 + 19*g + 4581008 wrt g?\nAnswer: -184662*g + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*a + 616959, -123383 = -62*a + 61*a + 2*x. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 607\/(-8)*114\/(-1632). Let m = 1\/10880 - r. Calculate the common denominator of 122\/(-2)*2\/(-8) and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.102, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from qqrrqrrqqqqqqqqqrqq?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 37*y**2 - 6. Let p(g) = -110*g**2 - 2*g + 17. Give -6*p(d) - 17*t(d).\nAnswer: 31*d**2 + 12*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a*(a**(-3\/2)*a*a)\/a))\/a*a\/a**(-5))\/(a**(2\/25)\/(a\/(a**(-3\/7)*a))) assuming a is positive.\nAnswer: a**(2397\/350)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - 2*y)*(0 - 2 + 0) + 975 + 17*y - 15*y + 319.\nAnswer: 6*y + 1294","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1655014 - -1655017.00000096. Let s = x + -3. Round s to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 179541 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 85 - 81 = -2*z, z - 7 = -2*m for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 19 = -5*n, 694*g = 5*n + 699*g + 5 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 86316 to the power of 1\/2, to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 260460822 and -1.\nAnswer: 260460821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2225933823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 11 - 16 = 5*c + 19, -4*c + 5*i - 7*i + 5 = -5 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjvvjhjjjjjjjjjjj. What is prob of picking 1 j and 1 h?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1020213 (base 4) to base 7\nAnswer: 16356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7538*a = 8869*a - 25289 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*h - 2348 - 46 = 525*h for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from zzsznuuz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 55, 53, 41, 19?\n\"Answer: -5*i**2 + 13*i + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -145, -316, -729, -1486, -2689, -4440, -6841?\n\"Answer: -17*x**3 - 19*x**2 + 5*x - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2870925079?\nAnswer: 11, 157, 1662377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 11*n + 9. Let k = 2 - -5. Let z(x) = 4*x - 1 + 3 - 4 + k*x. Let b(t) = 21*t - 3. Let d(q) = -6*b(q) + 11*z(q). Give 7*d(p) + 3*i(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 3*f**5\/5 - 2*f**3\/3 - 8. What is the third derivative of o(l) wrt l?\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8096214 divided by -6?\nAnswer: -1349369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2\/7 + 739648020*x\/7 + 45589932790826700\/7.\nAnswer: 3*(x + 123274670)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*b + 5*b + 60 = -5*b + b, 3*t + 3*b = -48 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:21 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)\/(sqrt(6)*-2) - (sqrt(420)\/(1*sqrt(7)))\/sqrt(12))**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -32. Solve -s - 1 = -3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1181, -1137, -1079, -1007, -921, -821?\n\"Answer: 7*x**2 + 23*x - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 669\/7 + -90. Find the common denominator of 108*(5 - 568\/112) and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17 greater than 0.4788?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/(z*z\/(z\/(z*z*z**(4\/3)))))\/z)\/z)*z**(-4\/31)*z*z\/z**16*z*z*z**(-14)*z)**(-2\/11) assuming z is positive.\nAnswer: z**(3496\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 13\/5 of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - z + 5 + 0*z. Let l(h) = -h - 3. Let k be l(2). Let t(g) = -12*g + 18*g - 8*g + 4. What is k*t(y) + 4*m(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49.373702 - -178.\nAnswer: 128.626298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -0.521.\nAnswer: -0.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 12\/(-16) + (-1)\/4. What is the least common multiple of 194 - d\/2 - 3 and 18?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 96 + -96. Suppose 4*q - 4*b - 15 - 641 = c, b - 671 = -4*q. List the prime factors of q.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -209d?\nAnswer: -20a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*b - 32. What is the common denominator of ((-2)\/(-4))\/(21\/30) and 200\/14*4\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -2*y**4 + 5*y**3\/6 + 3*y**2\/2 - 4988*y. Let w(s) = -36*s**2 + 8*s + 5. Give -8*u(q) + 5*w(q).\nAnswer: 12*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5\/((-50)\/24)*-300*369\/9840\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/20*((-22)\/(-6) - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i. Let t = 112\/23 - 155\/46. Let c(o) be the first derivative of 0*o - 5 + t*o**2. What is c(k(v))?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2142)\/(-918)*(-60)\/(-196).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 PM and 11:12 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*g + 9 - 3*g + 15 - 11 + 25*g in the form p + z*g and give z.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, -3, -1783, 10, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96378259?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = o + 2 + 2, -2*u = -3*o - 11. Suppose -7*q + 8 = -3*q. What is the highest common factor of q and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/3, -68, -144, 0.04?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 772 + -1317. Let p = d - -554. Let q be (6\/4)\/(3\/4). Solve q*f + 9 = o, 4*f + 2*o + p = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -5.003. Let z = -108.473 - -113.27. Let n = z - x. Round n to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aayyeaxaxexs. Give prob of picking 1 e, 1 s, 1 a, and 1 x.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1139\/(-119) - 8\/(-14)) + -7*(-11 + 5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2. Let t(a) be the second derivative of 1\/12*a**4 + 0*a**2 + 0*a**3 + 0 + 4*a. What is t(d(s))?\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*m**6 + m**6 - m**2 + 13*m**2 - 5*m**2 wrt m.\nAnswer: 2280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*a + 25, 3*p - 2*p + 3*a - 24 = 0. Suppose 0 = -f + p + 2. Find the first derivative of -10 + f - h + 5 wrt h.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 221, 296, 341, 350, 317, 236, 101?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1290\/(-16555))\/(2\/(-14)).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.45415 plus -1.9?\nAnswer: -3.35415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/(-5) + 1\/2 and -61\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 41, 0.5, -2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 132\/(-26) + (-428 + -28)\/8 + 62.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1701280 by 1701280.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -x - 3*d + 6, 0 = x - d + 7. Let r be (-12)\/x + 0 + 6. Suppose r*s - 1638 = -508. What are the prime factors of s?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -8.7. Let h = 10 + -9.9. Let i = -0.02 - -2.02. What is the closest to i in h, q, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvh when three letters picked without replacement from {p: 1, h: 2, o: 1, v: 3}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8. Suppose i = f*n - 3*n - 1, 5*i = 5*n + 25. Calculate the remainder when 26 is divided by n + 3 - -8*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + 0 + -4 + (0 - -8887) + 6 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 4*o + 4, -m + 2 = -o + 3*o. Is 23 a factor of (m - -2)*90\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.13 - -0.168. Let s = 0.11 - w. What is s rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -83 + 58. Let d = h + 25.2. Which is the second biggest value? (a) 1 (b) d (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 157*l**4\/24 - 11*l**3 - 183*l**2. Let j be n(-2). Do -380 and j have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z + 12. Let r be g(5). Let m = -51\/4 - -27\/2. Let v = -0.02 + -0.04. What is the second biggest value in r, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -150105 divided by 50035?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mtdnnem. Give prob of sequence emtm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:27 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**2 - 159*z + 2623. Let b be s(14). Solve b*o - 5*t = 0, -3*o + 4 = 3*t - 8*t for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14962900 to the nearest one hundred thousand.\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -1)*(0 + -1). Let h = 25 - 25.03. What is the third biggest value in h, o, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 438 and 1022?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -30*m**3 - 5*m**2 + 3*m - 2. Let p be h(5). Let u = p + 15373\/4. Calculate the common denominator of 61\/15 and u.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = y, 0 = 2*u + 5*y - 3*y + 2. Find the second derivative of l - 3*l - 41*l**3 + u + 23 wrt l.\nAnswer: -246*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/3 + 48724*f\/3 + 296753522\/3.\nAnswer: 2*(f + 12181)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.11 - 0.11. Let s = -1.3 - -0.3. What is the biggest value in g, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -552 divided by 12?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/3962 + 96080\/5943. Let m = u - 49\/3. Let x = 0.9 + 3.1. Which is the nearest to -0.2? (a) 1\/3 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*u + 2. Solve 3 + u*n**3 - 3 + 2*n**2 - 2*n**4 - 2*n + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-10)*(-1)\/((-1)\/(-473)). Suppose -2*i = -1403 - y. Let a = i + -565. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2499 + -5366. Let v be -1 - (0 + 11571\/(-4)). Let m = y + v. Calculate the common denominator of m and 89\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -2135?\nAnswer: 2131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -26 + (1 + 4 - 2) + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(42)\/(sqrt(18)\/(sqrt(6)*3)))\/(-2*sqrt(3388)).\nAnswer: -1 - 3*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(7) + -2 - sqrt(7)) + 1 - sqrt(2744)\/sqrt(8)) - ((sqrt(7) + sqrt(7) + (sqrt(77)*1)\/sqrt(11))*5 - (-1 + sqrt(7) + 3 - (0 + sqrt(567)))))**2.\nAnswer: 520*sqrt(7) + 29591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-14 + 22 - -17)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b**4 + 28*b**3 - 137*b**2 + b wrt b?\nAnswer: -96*b + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/7 (b) 4 (c) 0.2 (d) 12 (e) 6045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -293, -3, -1\/7, -14 in increasing order.\nAnswer: -293, -14, -3, -3\/5, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t + 4*o + 15, -2*t + 10 = -4*o + 2*o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 2*w + 107. Determine h(12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 + 2*c**2 + 8*c - 1. Let z = -12 + 16. Let s(t) = -5*t**3 - 2*t**2 - 7*t + 1. Let k(n) = z*a(n) + 5*s(n). Is k(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 4 - 3\/2*g**2 + 0*g**3 + 0*g + 7\/4*g**4. What is the second derivative of a(o) wrt o?\nAnswer: 42*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2260 is divided by 750.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = 3*d. Suppose -2*c = -d*c. Find the second derivative of -3*r + 2*r**4 + c*r**4 - 2*r + r wrt r.\nAnswer: 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/9))\/(t**0\/t))**34\/((t\/(t\/(t**(3\/7)*t)*t))\/(t\/t**(-2\/5)*t)*(t\/(t*t\/(t**2\/t)))\/(t**(-1)\/t)) assuming t is positive.\nAnswer: t**(23791\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 48*a. Let x(k) be the first derivative of 0*k**2 - 2\/3*k**3 + 0*k - 92. What is r(x(z))?\nAnswer: -96*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from 163769484258.\nAnswer: 163769484257.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-46 + 2727*j + 112 - 66).\nAnswer: 2727*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -0*j - 6*j. Which is the nearest to 0.1? (a) 0 (b) -9 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 5*r + r + 4, -8*k + 3*k - 16*r = 47 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.299069 millilitres in litres?\nAnswer: 0.007299069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 121169310*q**2 + 57496420*q?\nAnswer: 242338620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 34*l = 31*l - 290, -l = 5*r - 708. Let x = -38 + r. Does 13 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 - -42.\nAnswer: 41.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyay when four letters picked without replacement from {y: 2, a: 1, w: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16995 - -17027. Calculate the highest common factor of 1024 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2))**(6\/25)*t**(1\/4)*((t*t**(2\/19))\/t)\/t)\/((t**0)**(-22\/7))**48 assuming t is positive.\nAnswer: t**(-2137\/1900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 51902\/(-12) + (3 - 0). Let n = d + 4303. Calculate the common denominator of n and 105\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4126 a factor of 1216790408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1578528 and 3451.\nAnswer: 26834976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 144*w**2.\nAnswer: -4*w**2*(w - 6)*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4637 (base 8) to base 14.\nAnswer: -c7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 7:05 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -257 + 0 + -2 - 0. Suppose 0 = 4*d + 5*l + 705, -3*d + 7*d - 5*l = -735. Let q = d - z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-1\/13)*b**0)**(-6)\/(((b\/(b\/(b*b*(b*b**(-4\/7)\/b)\/b*b)))\/(b*b\/b**(-5)))\/((b\/b**(1\/2))\/b)**20) assuming b is positive.\nAnswer: b**(-991\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 - 73. Let w = -15 - j. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z**5\/5 + 21*z**4\/5 + 9*z**3\/5 = 0. Calculate z.\nAnswer: -3, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 469447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 7*n - 4. Let i be (-85)\/25 - -4 - n\/10. Which is the third smallest value? (a) i (b) -2 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -2*b. Let l(n) = 3*n + 3. Let i(k) = -30*k - 159. Let x(g) = i(g) + 9*l(g). Determine s(x(z)).\nAnswer: 6*z + 264","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47080, 47081, 47082, 47083?\nAnswer: 47084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 2*s - 1. Let r be l(1). Let j(z) = r*z**2 - 3*z**2 + z**2 - z**2. Let n(w) be the third derivative of -w**5\/60 - w**2. Calculate j(n(t)).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/7)*h**(-1\/13)*h**(-4\/7)*h\/h**(-2) assuming h is positive.\nAnswer: h**(201\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 692 + 1755 = 5*q, 0 = -5*q - 3*c + 2441. What is the remainder when q is divided by 25?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 172*g**5 - 2*g**4 - 22648*g**3 + g**2 + 2*g - 59907420 wrt g.\nAnswer: 10320*g**2 - 48*g - 135888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-6)\/(-16))\/(36\/(-24)))\/((-10)\/(-6040)). Is -3\/2 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 - 3*j**2 - j - 1. Let h be y(-3). Solve -h*s - 1 + 5 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.41754049 to 4 dps.\nAnswer: 4.4175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, o: 1, k: 1, x: 5, f: 1}. What is prob of picking 3 x?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(180)*2)\/sqrt(10)*-6)\/((1*sqrt(66)*-2)\/(sqrt(11)*-1*2)))**2.\nAnswer: 6912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -401\/903 + 2\/129. What is the smallest value in s, -3, 18?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83 - 48. Let x = -30 + k. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3429 - -13623\/4. Let d = -360\/41 + 3259\/656. Calculate the common denominator of d and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**6*o*(o*o\/(o*o**3))\/o*o*o**(2\/5)*o*o**1*o\/o**(-2\/7)*((o*o**(-2))\/o)\/o*o**(-3)*o**1\/o assuming o is positive.\nAnswer: o**(94\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 79313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a second in milliseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -42, -47, -54, -63?\n\"Answer: -g**2 - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38484 divided by 1.\nAnswer: 38484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120200111 (base 4) to base 15.\nAnswer: -230b92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(9\/57) + ((-1320)\/12)\/11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1435 * 4891.6\nAnswer: 701.9446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46873 is divided by 7722.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180 = 40*c + 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16958 and 1946.\nAnswer: 118706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 7148.\nAnswer: 64332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -46*w**2 - 13795*w + 15323. What is o(-301)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -335 + 354. What is the remainder when 44 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566932 is divided by 749.\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 13*o + 14. What is y(10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2016, -2019, -2018, -2013, -2004?\nAnswer: -1991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91813 by 5.\nAnswer: -91813\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/266 - (1350\/(-171) - -8)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 214*l**2\/3 + 3349*l\/3.\nAnswer: l*(l - 197)*(l - 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = -5*a - 14, 2*a = 5*b - 31 + 7 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, n: 3}. What is prob of sequence nnqn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -5. Let u be (j + 0)*(-5 - -5). Solve -4*r + 6*r + 4 = u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-14))\/(((-90)\/(-35))\/3)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3253515 rounded to two dps?\nAnswer: -8.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*s + 63*s + 57*s - 231*s + 63*s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31760 is divided by 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -1829*b - 12420. Suppose 11 + 185 = 2*i. What is the remainder when w(-7) is divided by i?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*o - 136*o + 6 = 0. Let d be (-1)\/o*-2 - 6564\/9. What is d rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 26947.717494522068 + 1.519503867932. Let w = d - 26949.474. Let p = w + 0.237. Round p to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -3, 0.08, 2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 994?\nAnswer: 198.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 402415 or 402308?\nAnswer: 402415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1827 - 625 + 5*w - 577 - 625.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 92*b + 21. What is the lowest common multiple of 36 and x(46)?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/32)\/(11\/1848*-9)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644447 is divided by 849?\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**3 - z**2 + 3*z - 1. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5039958 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1309*g**3*v - 45*g**2*v + 7*g*v + 16*g - 4*v - 2 wrt g?\nAnswer: 7854*g*v - 90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2554030 and 17255?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -n**5\/25 + 1029*n**4\/40 - 257*n**3\/10 - 245*n**2. Suppose j(p) = 0. Calculate p.\nAnswer: 1\/4, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150 - 133 - (13 - 3)) + -96.\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkhkhkq. Give prob of picking 1 k and 2 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + v**2 - 65*v - 47. Determine c(9).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3010401 and 230.\nAnswer: 30104010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -1\/3, -0.2 in decreasing order.\nAnswer: -0.2, -1\/3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-13200)\/(-900))\/(11\/(-33))\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 13 = 4*z - d, 3*d = -12. Suppose -z + 13 = -2*u. Is u > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b**2 - 17*b + 7. What is y(8)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.84.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70648 + 27489. Let h = 95756 + -243893. Let a = h + u. Round a to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -1136763070?\nAnswer: 1136763070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = 2*t. Suppose 2*m - 16 = m. Solve -n = t*n + m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -7 + 0*d**2 - d**2 - 7*d + d. Let l = -140 - -135. Give q(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (200\/(-120))\/(4\/3)*4. Let y(t) = 2. Let i(n) = n + 2. Let w(x) = -4*i(x) + 3*y(x). Determine w(s).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-6))\/(2\/(-18)). Suppose 0 = -o + 4*m - 7, 0 = o - 86*m + 90*m - 17. Is o <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -292 - -294. What is the third derivative of -20*p + 12796*p**2 + 3*p - 12797*p**b + 80*p**6 wrt p?\nAnswer: 9600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(144) - sqrt(144))\/((sqrt(105)\/sqrt(5))\/sqrt(7)).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5 - -2 - -2)*1. Let z(j) = 67*j**2 + j. Let s be z(n). List the prime factors of -2 + s\/24 + 825\/4.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/42)\/(2\/(-6))*4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 0. Suppose -5*d + 20 = -y. Let b be 3\/1*d\/3. Solve 9*t - b*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35583?\nAnswer: 3, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -137, 5, 4 in ascending order.\nAnswer: -137, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4383b1 - 5?\nAnswer: -4383b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(8\/(-30))*224\/(-21)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-6) - ((-2775)\/50)\/(-37)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -1. Let i = 2.5 + -2.6. What is the smallest value in a, i, -1\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - v - v)*(20*v + 83*v - 5323 + 5332 + 39*v).\nAnswer: 142*v**2 + 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1023)\/(-9)*(-564)\/(-2068)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 27*w**2 + 178*w - 111. Let b be o(17). What is the highest common divisor of b and 21025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.08 + 0.08. Let z = -1 - i. Suppose -635 + 607 = -7*l. What is the nearest to -1\/4 in z, l, 3\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -78003\nAnswer: 1\/26001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561 = 101*x - 860 - 3326 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -212953*l + 1064771. What is k(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, d: 1, e: 2}. Give prob of sequence eld.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 8 - 38113*y + 16194*y - 45087*y - 13828*y. Let m be f(12). Round m to the nearest 100000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2*p**3 + 88*p**2 + 8*p - 68. Let t be g(44). Suppose -153 = -3*f + 699. Is f less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.26 less than 22555?\nAnswer: 22615.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29.2 - 32. Let s = -0.4 - -3.4. Let o = v + s. What is the smallest value in 3, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -5*m**8\/56 - m**4\/6 - 7*m. Find the third derivative of x(l) wrt l.\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225129\/67 + -3360. Let t = q + 4685\/536. Calculate the common denominator of t and 111\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 PM and 12:45 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 85, 310, 679, 1192?\n\"Answer: 72*j**2 + 9*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from moooamoooooaoovo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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 462 minutes after 4:40 PM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(1\/(27 + (-80)\/3))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/((-110)\/(-44))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 520ba - 4?\nAnswer: 520b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 4:27 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3078 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/(-15))\/1)\/(((-8)\/(-14))\/(3270\/9919)).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1.98, 5, 0.1, -1\/13, -0.21?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5379145 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) -2628 (c) 0.5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 441570 and 538500.\nAnswer: 22078500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11005 - 11007 + 2331*k - 906*k to l*k + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-9)\/3*((-1)\/(-7))\/(-4 - -3). Sort 0.3, d, 6.5, -2\/19 in decreasing order.\nAnswer: 6.5, d, 0.3, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-388)\/(-108)*57 - 6\/(-27). Let o = k + -1843\/9. Factor 2\/9*g**2 - 4\/9 - 2\/3*g + o*g**4 + 2\/3*g**3.\nAnswer: 2*(g - 1)*(g + 1)**2*(g + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -23*w**4 - 7*w + 4. Let l(n) = -24*n**4 - 7*n + 3. Let v(f) = 4*l(f) - 3*z(f). Find the second derivative of v(k) wrt k.\nAnswer: -324*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.5 times -2171.8?\nAnswer: 55380.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/((48\/9)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 10. Let t = -3 + 3. Suppose 5*m + 70 = 5*s, 0 = s + 4*s - m - 86. What is the remainder when s is divided by g(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32200 by 3220.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 6. Let y(g) = g. Let u(j) = n(j) - 3*y(j). Let v be u(-7). Solve 0*i = -5*q - i - v, 0 = -2*q + 2*i - 16 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3881\/5453 - 2\/779. Is i equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 c when four letters picked without replacement from {k: 1, c: 4, q: 5, g: 6}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - i - 21 = 0, 4*j = 4*i + 42 - 18. Solve 0 = -j*n + 4*p + 15, 2*n - 23 = -0*p + 5*p for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 30*v**2 - 55*v - 27. Calculate i(28).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0 = 3*j - 1, -4*j + 4 = -4*b. Solve 32 = j*o + 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 13*h - 6. Let l = -881 - -869. Give x(l).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000325715427 rounded to six decimal places?\nAnswer: 0.000326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0813 - -0.3813. Which is the nearest to 5\/3? (a) h (b) -5 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -122?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 583502355 divided by -3.\nAnswer: -194500785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -3*z + 0*z**2 + 2 + 1\/6*z**3. Let g(v) = -9*v. Calculate b(g(a)).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of 3*p**5\/10 - p**3 + 2*p - 4. Let o(r) be the first derivative of x(r). What is the second derivative of o(f) wrt f?\nAnswer: 36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -40 + 336. Let m = 456 + h. Let b = 19 - 3. What is the highest common divisor of b and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 6 = -2*q, 7*u = 4*u + 5*q - 15 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1988)\/568)\/(-1*2\/12). Suppose 4*g = -v + 16, -7*g + 3*g = -3*v - 16. Suppose g*m = 14 + 6. Solve -h - m*y + l = 0, -2*y + y = -4*h - 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n. Let q(h) = 32*h**2 + 5. Suppose -1 = -2*b - 3*x - 11, 25 = -5*b + 4*x. Let r(t) = 816*t**2 + 128. Let g(p) = b*r(p) + 128*q(p). Determine f(g(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 10 + (37 - 24).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/2)\/(-2 - 112839\/(-56418)). Let t = 110606 - v. Round t to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 3325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -111, -116, -121, -126?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 174582 and 244.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-67)\/2020)\/(4*-10*12\/(-960)) and 51\/1414.\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4*l - 9 = 0, 3*u - 9 = -0*u - l. Solve u*f - 4 = 4*f, 0 = 5*w - 5*f - 15 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*r + 2*f + 6, 190 = 4*r + 3*f + 239 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 plus 65?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 7*s + 7. Let d be q(-5). Let y = -488\/7 + 70. Let a = -152\/5 + 30. Sort a, d, y in increasing order.\nAnswer: d, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00645137841 to 6 decimal places.\nAnswer: -0.006451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**29)\/p)\/p**(-2\/17))**33 assuming p is positive.\nAnswer: p**(16335\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - d86ae?\nAnswer: -d86ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 13*t**2 - 23*t - 450. Let i be p(-14). Solve 65 + i = -19*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-5)*(2 + (-2002)\/(-4)). Let a = k + -392. Calculate the remainder when 40 is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.471 to one decimal place.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890757243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 - 37*d + 700. Is v(46) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 91 - -3?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 82908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -726460, -726484, -726508, -726532, -726556, -726580?\n\"Answer: -24*f - 726436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 - s**2 + 3*s**2)*(866 + 217 - 229).\nAnswer: 854*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.101, 280?\nAnswer: -0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w + 2*b - 8313, 5542 = 2*w + 5*b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 8 = 3*w - 4, -11 = -3*w - 4*z. What is the derivative of 2*f - 3 - 3*f**4 - w - 2*f wrt f?\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27252092 and -0.5.\nAnswer: 13626046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 5, c: 7, f: 7}. Give prob of picking 3 x and 1 f.\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145 - 17 - 2)*(-6 + 3*i + 6 + 1).\nAnswer: 378*i + 126","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 2:16 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45896865949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 + 2. Suppose 3*v + 14 = -m. Let h be (-3)\/6 - v\/2. Solve -2*x = -h*x - 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8680.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 1:03 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 98831 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 - -2) + (-8)\/(-8). Suppose 3*d = r + 5. Is 8\/5 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -5. Let s be (21\/6)\/(q\/(-2)). Suppose 15 = -2*j + s*j. Solve 2*h = -j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -7*f. Let g(b) be the second derivative of b**3\/6 - 12*b. Determine p(g(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x + 15. Let t be o(-8). Suppose -t*m + 0 = -42. What is the highest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7982, 31785, 71454, 126989?\nAnswer: 198390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 12:38 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-51)\/(-34)*20\/6. Suppose c*f - 16 = r - 0*f, 0 = -3*f + 12. Solve j + 3*b = -2*j + 12, r*j - 6 = b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 15 = -5*s, -s + 1 = -2*w + 6. Suppose 0*o + 5*o = -3*m + 12, -m + w = o. Suppose 2*y = -2*i + 512, o*y = -0*y + 5*i + 752. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 724, 1500, 2262, 3004, 3720?\nAnswer: 4404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13882 + -13883. Which is bigger: d or -2\/20057?\nAnswer: -2\/20057","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**33*t\/((t*t\/t**(3\/14))\/t) assuming t is positive.\nAnswer: t**(465\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1163 - 4194 = -7*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6309.964g in nanograms?\nAnswer: 6309964000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lelllellllllell. Give prob of picking 2 l and 1 e.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162231359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 305db7 (base 15) to base 7\nAnswer: 25350664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2121001210 + 3?\nAnswer: 2121001213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c**2 - 3*c + 5. Let a(r) = 2*r**2 + 2*r - 3. Let d(g) = 10*a(g) + 6*m(g). Let q be d(-3). Let l be q\/(-15)*5\/(-2). Solve -p = -l - 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -233113 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*d - 1029*d - 2*d**3 + 514*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/(sqrt(6)\/sqrt(3)) + 3*sqrt(51)\/sqrt(3) + 0 + ((sqrt(204)*-3 + sqrt(204))\/sqrt(12) + 3*sqrt(17)*-4)**2.\nAnswer: 4*sqrt(17) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3451690 is divided by 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19961708251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 3008650 to the nearest ten thousand.\nAnswer: 3010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 50 = 146. List the prime factors of 109 - 7\/((-28)\/m).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-828) - 23994\/(-828).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3280 is divided by 298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = k - 4*v, -4*v + 101 = 4*k - 47. Let d = k - 26. Suppose -d*m + 2100 = -4*m. Round m to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -12*c. Let l(h) = 44*h - 10. What is l(o(t))?\nAnswer: -528*t - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4478, -9265, -14054, -18845, -23638?\n\"Answer: -m**2 - 4784*m + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 241136 divided by -1?\nAnswer: -241136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591026103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 + 2304*u**4 + 171336*u**3 + 3808048*u**2 + 15636660*u + 11997648 = 0. What is u?\nAnswer: -493, -39, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 27. Let n be z\/(-18) + 1\/6. Which is smaller: n or 1\/12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11180\/78)\/(-43)*240\/50?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 41809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3*f - 3 = 14, -4*o + 24 = -f. Suppose 5*u + o - 65 = 0. Solve 3*t - 4*b + u = -7*b, 5*t + 14 = b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/9224468 and 32\/1287?\nAnswer: 1079262756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 2*r - 3*m + 21 = 0, 2*r + 14 = 5*m. Let f be (-2)\/(-6) + (-7)\/r. Let d be (-1 - 4 - f) + 7. Let u(n) = n**3 - 3*n**2 - 6*n + 6. What is u(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52941?\nAnswer: 3, 7, 2521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.00828kg to tonnes.\nAnswer: 0.08700828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4319520 divided by -3?\nAnswer: 1439840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 1944.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1494 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 q(t) = -t + 21. Suppose 3*n + 4*o - 65 = -8, -3*o = 2*n - 39. Is 3 a factor of q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x + 6. Let o = -23 - -40. Suppose 15 = x*c - o. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/(-6))\/(2\/6). Let z(r) = -3 - r**2 - 3*r + 6 + k*r. Calculate z(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**5 + m**3 + m**2 - m - 1. Let q(v) = -17*v**5 - 36*v**4 - 25*v**3 - 5*v**2 + v + 1. Let b(h) = f(h) + q(h). Factor b(o).\nAnswer: -4*o**2*(o + 1)**2*(4*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of q**4\/12 - 11*q**3\/2 + 15*q**2. Let w be m(18). Let s(f) = 5*f - 5. Let h be s(5). Solve -w*k + h = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 71.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4364, 4438, 4512, 4586, 4660?\n\"Answer: 74*y + 4290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1783858 - 14334.4\nAnswer: 1769523.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*k**2 - 27*k**2 + 255 + 19*k**2 - 7*k**2 - 2035*k.\nAnswer: -5*(k + 51)*(8*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -975, -860, -669, -408, -83?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1901746 and 4558?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -20, -70, -174, -350, -616, -990, -1490?\nAnswer: -2134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 7*j**2 + 8*j + 16. What is the hundreds digit of n(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*f**2 - f + f - 877*f**2 - 7*f + 8*f as j*f + w + g*f**2 and give g.\nAnswer: -906","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*v + 6164 + 15494 = 0. Solve 226 = 24*o + v for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*o*q + 5*j**2*o + 18*j**2*q + j**2 - 44*o*q + 3*o - 12*q with respect to o.\nAnswer: -2*j**2*q + 5*j**2 - 44*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r**3 - 25*r**2 + 19*r - 2. Let s = 86 + -100. What are the prime factors of n(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microgram in nanograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*g - 4*o + 4 = -223*g, 5*o - 33 = 3*g for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a = 17*a - 8. What is the tens digit of 3*a\/36*33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -555324 divided by 6\nAnswer: -92554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4*c - 8, -q - c = 3*c + 1. Let s(z) = -4 + 3*z + q + z**2 - z**3 + z. Give s(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 842 is divided by 149.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-176)\/(-264))\/(0 - (-72)\/226) and 59\/8.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 11*l**2 + 4*l - 5. What is g(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18383342, -36766640, -55149938?\nAnswer: -73533236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j - 7. Let u be b(6). Calculate the greatest common divisor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22221, -22224, -22229, -22236, -22245, -22256?\nAnswer: -22269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 8) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -523 - -982. List the prime factors of p.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*s + 3, b - 5*s = 11. Solve 0 = -q, -2 + b = -4*a + 3*q for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40572, -40571, -40570, -40569, -40568, -40567?\nAnswer: -40566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4478204?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2005147 - 3?\nAnswer: 2005144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 11249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2d7a (base 16) to base 11\nAnswer: -8824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 7*r + 6*r = 17446. Is r <= -673?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 173?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -55426 (base 7) to base 6\nAnswer: -144304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -0*c + 2*r - 7, 3*r - 6 = 3*c. Suppose -f = -3*k + 22, -c*k - f + 21 - 1 = 0. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 + -166.1. Which is the second biggest value? (a) x (b) 2\/3 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 30 - 18)*(-11 + 3 - 1)*(33*p + p - 4*p).\nAnswer: -4590*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/(2 + 0) + 17*23?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h - 12. Let t(q) = 5*q - 12. Let b(v) = 3*t(v) - 4*u(v). Let w be b(6). Suppose 0*i - i = -w. What is the highest common factor of i and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 16*c + 3. Let y be (-1200)\/168 + (-72)\/84. Let k(a) = 11*a + 2. Determine y*k(j) + 5*f(j).\nAnswer: -8*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0 - 4 = 0. List the prime factors of (-32)\/(-20)*a*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.19871 rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*d - 10 = -91*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 2*s**3\/3 - 7. Let u(w) = 16*w. What is o(u(a))?\nAnswer: 512*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-18)*-3*-3. Solve 0*k + m*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -23*s. Let y(m) = 291690 - 291690 + 15*m**2. Give y(o(h)).\nAnswer: 7935*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**4\/12 - 2*y**3\/3 - 3*y**2\/2 - 4*y. Calculate p(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 15*h - 123718 + 123707, -4*h + 10 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 4*p + 11. Suppose 1 = 5*y - 9. Suppose -g = y - p. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ikki when four letters picked without replacement from {i: 4, k: 10}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1086672 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -148*s**2 - 150*s**2 + 567*s**2 - 143*s**2 - 113*s - 133*s**2 + 113*s.\nAnswer: -7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -397 + 405. Differentiate 130*o - 69*o + 149 - 290*o - w wrt o.\nAnswer: -229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-104))\/(1\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9626, 9621, 9616, 9611, 9606, 9601?\nAnswer: 9596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 >= 0.79?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (-93400)\/(-930) - (-3)\/31?\nAnswer: -112\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 14*f**3 - f**2 + f + 14. Let w(j) = 14*j**3 - 4*j**2 + 17. What is 3*g(q) - 2*w(q)?\nAnswer: 14*q**3 + 5*q**2 + 3*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 + -4007?\nAnswer: -3910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x**2 + x - 1. Let j(o) = -o**3 - o**2 + 3*o - 1. Let k be j(2). Let g(l) = 11*l**2 + 2*l - 2. Determine k*v(n) + 4*g(n).\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a + 8. Let n(g) be the third derivative of 0 + 0*g**3 - 3*g**a + 0*g**4 + 0*g + 1\/480*g**6 + 1\/240*g**5. Find k such that n(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 938, -3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1593*r**3 - 1689*r**3 + 3588*r**3.\nAnswer: 306*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 i when four letters picked without replacement from {i: 3, z: 1, n: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(432) + 3)**2 - 4*sqrt(12).\nAnswer: 65*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56670036 by -14167509.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + k - 5*k)*(-4*k + 3*k + 3*k) - 3*k + 3*k - k**2 + 19*k + 3338*k**2 - 58*k + 13*k + 12*k + 14*k.\nAnswer: 3333*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 7:06 PM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35502*j**3 - 15682*j**2 - 2 wrt j.\nAnswer: 213012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 12660243 (base 8) to base 11\nAnswer: 1671912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -255*b**2 + 177*b.\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 169303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + 1634 = -5*i + 2*q, 5*q - 8180 = -5*i. Suppose 0 = 42*x - 12936 + i. What are the prime factors of x?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 5*d**2 - 25*d + 41. Let x be u(2). Solve i = -x*a - 16, 19 = -14*a + 11*a - 4*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 d when three letters picked without replacement from prnpcpprrdnnr?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*(-3)\/(-12)*-2. Let d = 10 - q. Solve -p - 8 = -d*v + 3, 0 = 5*p - 5*v + 35 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 675 + -3962. Let o = -1730 - w. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4\/5 - 26*g**3\/5 - 28*g**2\/5 = 0.\nAnswer: -1, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -1. Let b(h) = -h**3 - 11*h**2 - 11*h - 5. Let p be b(q). Suppose -3*a - 5*r = 11 - 64, -p*a = 4*r - 71. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.5 - 1.4. What is the nearest to l in -0.1, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n = -6*c + 40 + 32 - 12, 4*c = -3*n + 21 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6558 - 0?\nAnswer: -6558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -13650 divided by 390\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 + 819*i - 38)*(48 - 48 + 6*i) + ((2 + 2 - 2)*(0*i + i + i) + 1 + 3*i - 1)*(3*i - 5*i + 4*i) to d*i + r*i**2 + m and give r.\nAnswer: 4928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 44 = 4*s. Let r(y) = -5*y**2 + 7*y - 7. Let n be (1\/(-1))\/1 - -7. Let m(j) = -9*j**2 + 13*j - 13. Give n*m(u) + s*r(u).\nAnswer: u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/(-341) - (-772)\/374 and 47\/4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -9. Let h be (-2)\/(-6) - (-56)\/12. Suppose -5*l = -g + 17, 4*g + 5*l + h = -g. Which is the closest to -1\/2? (a) g (b) -2\/15 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 2. Let j(a) = -a + 10. Let s be j(7). Suppose 4*g = -3*w + 4, s*g - 4*w + 10 = -12. Let o be l(g). Let b(r) = r**3 + 3*r**2 - 5*r - 5. Give b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**4\/5 + 138*u**3 + 6453*u**2\/5 = 0. Calculate u.\nAnswer: -9, 0, 239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 6, -y + i + 3*i + 121 = 0. Let k = y + -72. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1325 - 1319. Let b be 42\/240*q\/7*2. Let y be (-1)\/1*(-1)\/(-1). Which is smaller: y or b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -2169.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -961.844 - 1.156. Let j = z + 962.8839. What is j rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4112 and -21\/68.\nAnswer: 69904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 + j - 7. Let a(s) = 4*s**2 - 5. Give -3*a(w) + 2*b(w).\nAnswer: -2*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n - 1. Let p be b(1). Let x = -277 - -282. What is the remainder when p\/(2\/(76\/2)) is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q + 833 = 826, 0 = 364*g - 362*g - 2*q - 6 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 8) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159 - 155. Solve -3*f - 3*q = -12, -4*f + f = -o*q - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 612.\nAnswer: 4284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 2, -75 in descending order.\nAnswer: 2, -26, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -446*b**3 + 444*b**3 - 7887861*b**2 + 7887861*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -i - 2. Let s = -20 + i. Let z = 49 + s. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 337.7 + -337.3. What is the smallest value in 18, 0.2, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -26 (c) 13 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*j**4 + 4*j**3 - 6*j**2 + 2*j - 107966.\nAnswer: 244*j**3 + 12*j**2 - 12*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let w(l) = -18457115*l. Determine d(w(v)).\nAnswer: 681330188246450*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 16*l + 326. What is b(-20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (574\/70)\/((459\/(-85))\/27)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 460 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -35. Which is the second smallest value? (a) -1\/5 (b) m (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2*sqrt(490) + sqrt(490))\/sqrt(5) + 4.\nAnswer: -7*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 6*l)*(-2*l + 3 + 0*l + 0) in the form i*l**2 + g + n*l and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*d**4 + 1653*b*d**2 + 3*b*d + 4808960*d**5 - 28*d**2 - 7 wrt d.\nAnswer: 48*b*d + 288537600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 693112 and 616.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -26*z**2 - 433*z + 615. What is b(-18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/25)\/p**4*(p**(2\/3)*p)\/p**(-7))\/(p*p**(1\/4)*p*p*p**(-2)\/p*p**6\/p**3) assuming p is positive.\nAnswer: p**(401\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183534 and 9178.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 141, -151694, 3, 5 in decreasing order.\nAnswer: 141, 5, 3, -151694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5620 + -5557. Calculate the remainder when 342 is divided by y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 41*a**2 + 3*a + 4. Suppose -2*j - 6 = 0, -2*j - 7 = 2*u + 1. What are the prime factors of b(u)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, b: 4, k: 2}. Give prob of sequence skb.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -2\/49, 0.1.\nAnswer: -4, -2\/49, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2*11\/(44\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*b**3 - 2*b**2*k + b*k + 7*b + 7*k wrt b.\nAnswer: -192*b - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1672369.\nAnswer: 641, 2609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 306483 (base 14) to base 5.\nAnswer: 404141320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (5 + -5 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 516 - -797. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -82695*k**3 + 197985 with respect to k.\nAnswer: -248085*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uubutbtt. Give prob of sequence ubuu.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -b**3\/3 + b**2\/2 + 55. Let p(s) = 3*s + s - s**2 + 3 - 1 - 6*s**2. Give -6*n(m) + p(m).\nAnswer: -m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13341 = -15*a + 10914. What is the hundreds digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + (-12)\/28)\/(15\/10). Let r = 3.57 + -5.57. Which is the nearest to 0? (a) 0.1 (b) x (c) 4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 2*a**2 + a**2)*(-12*a + 5*a - 66*a) + 22*a**3 + 20*a**3 + 9*a**3.\nAnswer: -22*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 11:04 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 16*l - 13*l - 3, 5*l - 4*m + 22 = 0. Sort -1, l, 0.2, -4\/7, -9 in decreasing order.\nAnswer: 0.2, -4\/7, -1, l, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a + 264. Suppose 18*i + 2661 - 2049 = 0. Calculate x(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18120, 18124, 18128, 18132, 18136, 18140?\nAnswer: 18144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 20*l - 104. Let h(r) = 0 + 1 + 3*r - 2. Calculate h(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 7\/35) + 5\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (4 + 10 + 28)) + -1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -700, -1410, -2108, -2788, -3444, -4070, -4660?\n\"Answer: y**3 - 717*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 4*q + 3*q. Suppose 5*p - 9*p = q. Solve 4*y + 18 = 6, p = -3*l + 3*y - 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22206 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -102. Let w = 54 - i. Which is the closest to 3\/2? (a) w (b) -5 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 8*y + 40 - 16, 3*o + 4*y = -32 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 1. Suppose -51 = -d*f - 0. Is f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 2*d**5\/25 + 3*d**4\/5 + 26*d**3\/15 + 12*d**2\/5 + 8*d\/5 - 17. Solve x(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211 a factor of 38824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l - 6 + 3 + 3 + 0.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3687, -14619, -32851, -58389, -91239, -131407?\n\"Answer: -o**3 - 3644*o**2 + 7*o - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 - 21*x + 46. Let r be y(14). Which is greater: -154\/3 or r?\nAnswer: -154\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 695.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 + 6 - 4*w + (7*w - 3*w - 3*w)*(-4 + 4 + 3) - 2*w - 10*w + 8*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -19*k. Let d(h) = 4*h**2 + 6*h + 6. Let z(w) = 3*w**2 + 5*w + 5. Let l = -41 - -35. Let j(y) = l*z(y) + 5*d(y). What is i(j(s))?\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -1679*o**2 + 2*o. Let q(v) = -23527*v**2 + 29*v. Give -29*k(j) + 2*q(j).\nAnswer: 1637*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**5\/60 - v**4\/4 - v**3 + v**2\/2 - 7. Let j(i) be the second derivative of l(i). Calculate j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -6*b - 2*p + 29, -p - 13 = -3*b. Suppose 4*a + 2 = 102. Suppose 3*z + 2*h = a, h + 51 + 8 = b*z. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + 112 = -3*q, -28*f + 5*q = -22*f + 96 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4353 divided by 3.\nAnswer: -1451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -0*k + 30. Calculate the remainder when k is divided by 15 + 3 + -1 - 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 0)**2 + sqrt(196)\/sqrt(7) + 5)*1.\nAnswer: 2*sqrt(7) + 572","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 2*w - 22. Give r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 68995727 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-1))\/(-1*(-2)\/(-2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21052 = 4*c - 4*k - 121416, c + 5*k = 25055. What are the prime factors of c?\nAnswer: 5, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**4 + 4*d**4 - 5*d**4)*(5 - 4 - 2) + (-2*d**4 + d**4 - d**4)*(-4 + 4 - 2).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 12*x**2 + 19*x**2 + 5*x**2 as s*x + u + b*x**2 and give b.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 w, and 1 c when three letters picked without replacement from {w: 2, c: 7, o: 2}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -19. Let r be 3\/(-12)*s*-1. Factor 0 + r*l**2 + 2\/5*l - 2\/5*l**3.\nAnswer: -2*l*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a8 - 15d767?\nAnswer: -15d69d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2102753651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5)*(6\/4 - (-9)\/2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/(-38)*(-2)\/(-6)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(45\/(-12) + 2 + 2). Suppose -198 = -4*w + 42. Suppose -3*q - w = -6*q. What is the highest common divisor of q and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880*l - 201285 = 62715. What is the greatest common divisor of 84 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -133 + 349. Suppose -2*d = 4*u - 3*u, 0 = -d - u. Suppose 147 = 5*s + 3*k, d = -4*k - k + 20. What is the highest common factor of p and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 7. Let q = -11 - w. Let y = q + 5. Which is the nearest to -0.1? (a) 5 (b) -1\/2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 23.05. Let h = v - -0.05. Let a = -0.5 + 0. What is the biggest value in a, h, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -254*d*j**5 - 40*d*j**2 - 11*d*j + d - 2*j - 20 wrt j?\nAnswer: -5080*d*j**3 - 80*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*m - 1, -2*b = -3*m + m + 24. Let q(w) = w**3 + 6*w**2 - 8*w + 1. What are the prime factors of q(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -23. Let g be i + (-38)\/(0 + -2). Let z be (2 - 3) + 1*9. What is the greatest common factor of g and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 66*w - 62*w. Let g be w\/(-14) + (-74)\/(-35) - 3. What is the nearest to g in 1, -5, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-12\/11)*(o*o**(-15)\/o)\/o*(o\/(o*o**13*o))\/o**(-1\/6) assuming o is positive.\nAnswer: o**(-2041\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**6\/120 + 73*o**4\/12 - 11*o. Let a(v) be the third derivative of t(v). Calculate a(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 126*l**2 - 256*l + 769. What is the remainder when t(3) is divided by 230?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1429*f - 15680 = -4*s - 1426*f, -5*f = -3*s + 11771. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216 (base 9) to base 11.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-220)*1*(-5)\/(-2).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-92 + 93 + 112)*(-58 + 21*a**2 + 22*a**2 - 41*a**2) in the form o + f*a**2 + k*a and give f.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19677731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.59 + 45.41. Let d = 45.999996 - n. Round d to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-9 + 17)) + 17 + (36 - 1)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*y**2 - 121*y**2 - 33*y**2 + 175 - 177 as n*y**2 + x*y + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*k - 23*k**2 + 734*k + 100*k.\nAnswer: -23*k**2 + 884*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -85 divided by 1481\nAnswer: -85\/1481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11+129644660337\nAnswer: 129644660348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5742814 divided by 2?\nAnswer: 2871407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*y - 4*y - 2*b, -2*b = -4*y + 2. Let m(j) be the second derivative of -j**5\/5 - j**3\/3 + j**2\/2 - j - 21. Give m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, y: 1, t: 2, a: 1, s: 5}. Give prob of sequence tat.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -759, -3030, -6817, -12120, -18939, -27274?\nAnswer: -37125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 13, k: 5}. Give prob of picking 2 k.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -184 - 183 - 181 - 5*d**2 + 553. Let i(z) = 21*z**2. Calculate i(p(m)).\nAnswer: 525*m**4 - 1050*m**2 + 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2365 + 4*l + 2365.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*1.181.\nAnswer: -23.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -111011001?\nAnswer: 111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -0.1, -0.3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 1, y: 1, i: 2, x: 1}. Give prob of sequence yx.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.864 - -11.\nAnswer: 10.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i - 107 - 61*i + 175*i wrt i?\nAnswer: 117","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(672)*1)\/(sqrt(24) + (sqrt(24) - sqrt(72)\/sqrt(3))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 39 + -16 + -17 - (-2 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 426*l**2 - 3*l + 2. Give a(1).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.029 and 0.3?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 + 3*d + 4. Suppose -16*c - 21 = -23*c. Determine j(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 + 29\/((-290)\/40)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13651*j - 1 = 13645*j + 5*p + 36, -35 = -5*j + 5*p for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -1. Suppose p*h + 0*z - 3*z = 26, 16 = 2*h - 3*z. What is the second derivative of 2*k + 5*k**3 - h*k**3 + 3*k**5 wrt k?\nAnswer: 60*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -749*w + 747*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((1*sqrt(91)*2 + -6*(sqrt(91)*-2 + sqrt(91)))\/((-1*-2*sqrt(63))\/((sqrt(36)*1)\/sqrt(4) + sqrt(9))))**2.\nAnswer: -832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(63\/(-9)))\/((-2)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 16 - p + 18)*(9*p - 36*p + 14*p).\nAnswer: 13*p**2 - 130*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 6*l**2. Let s(m) = -8211363*m. Calculate s(w(b)).\nAnswer: -49268178*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/24 - 11*x**5\/12 - 125*x**4\/24 - 65*x**3\/6 - 8*x**2 + 4*x. Factor y(g).\nAnswer: 5*(g - 13)*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 105, 194, 285, 378, 473?\n\"Answer: y**2 + 86*y + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -95 - o**2 - o - 3*o**3 - 2*o + 362 - 266 as d*o**2 + a*o + c*o**3 + k and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = 2*z + k, 2*z + 3*z + 3*k - 189 = 0. Suppose -a = -2*a - 4*v - 38, -3*a = -5*v + 80. Calculate the lowest common multiple of (z\/a)\/(2\/(-10)) and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from {c: 1, s: 2, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73111 (base 8) to base 16.\nAnswer: 7649","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -676, -633, -548, -409, -204?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1832526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 275.006 - 275. Let o = r + -0.506. Let t = 2.9 - 3. What is the nearest to 0.1 in -5, t, o?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u - 41. Determine c(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) - (-22)\/6. Suppose -2*c + 5 = 1. Suppose 2*j = c*f - 4*f + 8, 0 = -x*j - 4. Solve u + 3*u = 2*q + 30, f*q + 3*u = -10 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -515 + 1011\/2. Let d be 2\/(-3)*(-3 - (-15)\/2). Find the common denominator of d\/(93\/40 + (-3 - 0)) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - -1 - 17 - (1 - 3 - -2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -213*j**5\/80 - j**4\/16 + 5*j**2 - 402*j. Solve x(k) = 0.\nAnswer: -2\/213, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 5*n - 6. Let s(j) = -2*j + 9. Let l(z) = -3. Let c(q) = -q + 3. Let o(x) = 2*c(x) + 3*l(x). Let k be o(-5). Let t be s(k). What is h(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/16*(12\/(-16))\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*f + 20*f + 925 = 0. What is the third derivative of -183*r**2 - 32*r**2 - 230*r**5 + f*r**2 - 82*r**5 - 59*r**2 wrt r?\nAnswer: -18720*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 947312537\/76944 - 86182\/7. Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 + -0.4. Let l = 27 - 17. Let m(i) = -74*i - 1037. Let v be m(-14). What is the second smallest value in v, r, -4, l?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -44, -52, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/94482 and 1\/2610.\nAnswer: 472410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (11 + 8) - -8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 414 a factor of 674064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + o**2 - o + 20. Let j be v(0). Let d be 5*148\/30 - 2\/3. Suppose -5*c = -8*c + d. Calculate the greatest common divisor of j and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 + 17 + -10 + 3 + -16.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2717 (base 9) to base 8\nAnswer: -3771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + a + 116 = 0. Let d = a - 11. Let k = 175 - d. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200534255 plus -1.97207?\nAnswer: -200534256.97207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -539\/5 - -109. Factor 2\/5*s**3 + 6\/5*s + 2\/5 + h*s**2.\nAnswer: 2*(s + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 5. Give q(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l + 29*l - 7*l - 10*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 9:39 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -298.806307346+639\nAnswer: 340.193692654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 + g - 1. Let c be p(1). Suppose 2*y = c*y - 2. Let v = 8 - y. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*9282\/153*(-15)\/(-70)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - c + 3. Let a be q(2). Let n(z) = 21*z - 43. Let b be n(a). Let f = b - 36. What are the prime factors of f?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73\/3? (a) -7 (b) 0.5 (c) 5 (d) 34 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, 4, -38 in increasing order.\nAnswer: -38, 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = f - 3. Let c(v) = -v. Let u be c(f). Let r be u - (2 - 4 - 1). Sort -2, -1, r.\nAnswer: r, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 7*t + 3. Let c be v(5). Sort -0.5, c, 5 in ascending order.\nAnswer: c, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -118 - -355\/3. Which is the closest to -1? (a) -2 (b) n (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 0*a + 9 = -4*c, -4*c - 3*a = -1. Solve -c*k - 4 = -2*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + y**2 + 0*y**2 + (4 - 4 + y**2)*(3 - 1 + 0))*(5 + 3*y - 2*y + 4).\nAnswer: y**3 + 9*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.49817 to two dps.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 2, 3, -35, -3, -94, -5 in increasing order.\nAnswer: -94, -35, -18, -5, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 16, 7, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + i - 1. Let m(g) = 3*g**2 + 5*g + 12. Calculate m(h) - 5*s(h).\nAnswer: -2*h**2 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 12. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19235344?\nAnswer: 2, 983, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9563.629cm in meters?\nAnswer: 95.63629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/3)\/((-2)\/27). Let s = j - -18. Suppose c = u - 4*u + 13, 28 = 4*u + 4*c. Solve s = 4*o - u*o - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 7, 0.276 in descending order.\nAnswer: 7, 0.276, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 24 - 5 - 19 - -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 304 = 150*g - 157*g, 39 = -2*j + 2*g - 53 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.03, -0.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4414?\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 11 + 2*v - 12*v**2 - 17 - 15*v + 33*v**2. Is 49 a factor of o(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 + (16 - -10) - -33\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115876.\nAnswer: 2, 59, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.1? (a) -4.4 (b) 23 (c) -25\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (157*s**3 - 728*s**2 + 728*s**2)*(s - s + s**2) + 2*s + 6*s**5 - 2*s.\nAnswer: 163*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -31*y - 2. Let h be x(1). Let r = h + 39. Solve 5*p + 4*q = -2, -6*p - r = -p + 2*q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*8*4\/24. Let d be (-6)\/(-2) + 1 - a. Solve d = 2*v - 2*k - 6, k + 26 = -3*v - 3*k for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153331 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 1. Let l be i(1). Suppose 3*v - 4*v - 5 = l. Let n = 281 + -287. Which is smaller: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7 - (-2 - (-3 - -4))) + -2. Put t, 1\/5, 3\/7, -0.4 in descending order.\nAnswer: 3\/7, 1\/5, -0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k + 524*k = -217 + 703 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1937 and 0.121.\nAnswer: 234.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 1272*d**5\/5 + 146*d**3 - d + 1236. What is the third derivative of t(l) wrt l?\nAnswer: 30528*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/4 - 4*p**3\/3 - 2*p**2 - 6*p - 2. Let t be j(5). Let x be t\/((-1 + -1)\/4). Solve 3 + 3 = x*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 48366999655?\nAnswer: 48366999654.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 55 + -95. Let h = z - -36. What is the fourth smallest value in 1\/3, h, 0.27, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1\/5 of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11010352 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/12*(-554)\/831. Sort -2\/5, 1, 0.07, k.\nAnswer: -2\/5, k, 0.07, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 + -33.1. Let z = -1.3 - d. Let c = -18 - -18.07. What is the second biggest value in z, 0.1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/7, -31, 0.75 in ascending order.\nAnswer: -31, 0.75, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11262, 11333, 11526, 11901, 12518, 13437, 14718?\n\"Answer: 10*t**3 + t**2 - 2*t + 11253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1526, 2250, 2974, 3698, 4422, 5146?\n\"Answer: 724*u + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-9))\/(56\/12 - 6).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5*p + 20, -3*l - 4 = 11. Let q be (6\/p)\/((-15)\/(-50)). Solve -q*w + 2*d + 14 = -d, -3*d + 1 = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*y + 16, -3*j = 5*y - 8295470. What is j rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 521072 + 0?\nAnswer: 521072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-3 - -1)) + -5 + 3 + 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13\/672? (a) -3 (b) -1\/35 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0) + (-2 - -11). Let i be 6\/(-3) - -5 - h. Put i, -3, 2 in decreasing order.\nAnswer: 2, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/3*q**3 + 64\/3*q - 104\/9*q**2 - 2\/9*q**4 - 128\/9 = 0. Calculate q.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 + 2 - 2)*(-21*s - 26*s + 52*s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 47690*y - 47693*y + 138, 3*j + 132 = 3*y for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*y - 98 + 146 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 27 + 26)*(2*a**3 + 2*a**3 - 6*a**3).\nAnswer: -102*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - j + 6. Let p be x(2). Solve -g + 0*g + 2 = p for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1200 divided by 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -11. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2136.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*w + 7 = 2*p, -2*p + 5*w = -16. Suppose 0 = 2*r - p - 1. Let 0 + 3\/4*n**r - 3\/2*n = 0. Calculate n.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 138 = -3*q, -2*g + 92 = -2*q - 3*q. Suppose 5*j + 3*a = -g, -5*a = -2*j - 4 - 2. What is the common denominator of j\/(-6) + 1744\/528 and 61\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**4 + 36*m**3 + 324*m**2.\nAnswer: m**2*(m + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -434, -409, -368, -311, -238, -149, -44?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12648 + -12651. What is the smallest value in 35, -1\/6, 6, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, z: 3, g: 1, r: 5, m: 2, i: 8}. Give prob of sequence mzg.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 464 and 18?\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, -0.1, -4, -2\/11, -6\/19, -6\/31?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16323 is divided by 1253.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + (-65)\/55 + 27108\/(-220). Suppose 3*q = 212 + 157. Let i = n + q. Which is the closest to 1\/4? (a) -2 (b) 4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 762 and 9?\nAnswer: 2286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -236 + 248 = 6*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d + 53. Let k be m(22). Suppose -21 = -3*v + k. What is the smallest common multiple of v and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**2)**(-36))**(-1\/3))**(-11\/6) assuming t is positive.\nAnswer: t**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -16. Let b be (1 + 0)\/(6\/24). Suppose -3*a - 3 = -b*a. What is the remainder when t is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -19*n**9\/252 - 7*n**5\/12 + 40*n**2. Find the third derivative of x(y) wrt y.\nAnswer: -4560*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rww when three letters picked without replacement from {w: 2, r: 7, n: 1}?\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1877.\nAnswer: 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*h**4 + 0*h**4 - 2*h**4 + (h**4 - 4*h**4 + 4*h**4)*(4 - 2 + 1) - h**4 + 2*h**4 + 0*h**4.\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 3*g + 694 = 775, -4*g - 56 = 2*q for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -137 and -197.45850937?\nAnswer: 60.45850937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 57?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 5*i**3 - i**2 - 8*i + 8. Let u(w) = -2*w**3 + 3*w - 3. Let p = 378 + -373. Suppose -p*a + 20 = 5*b, 3*b + 24 = 5*b - 2*a. Determine b*u(o) + 3*k(o).\nAnswer: -o**3 - 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = -2*p + 516. Suppose g + 13*s - 11*s - p = 0, -5*s - 21 = -2*g. Solve -j = -11 + g for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4\/5 - -2\/5. Let m = 11266\/26271 + -1\/3753. Which is the third biggest value? (a) m (b) d (c) 133\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = 5*v. Suppose -5*c = 5*n, -n - 2*c + 5*c + 16 = v. Sort -4, -3, n.\nAnswer: -4, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13655*o - 1165*o + 1656*o - 1399946 - 140242 = 0 for o.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, v: 1, b: 1, l: 1, u: 1}. What is prob of picking 1 l and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -5*o**4 + 1535*o**3 - 117030*o**2 - 121660*o + 237160 = 0.\nAnswer: -2, 1, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*h = 14, 4*i - 5*h + 0 - 18 = 0. Suppose 0*p = -i*p - 150. Is 2\/8 + p\/(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 82*i - 183. Let b be x(23). Let q = -1080 + b. List the prime factors of q.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -16*b**2 - 2*b - 21. Let j(l) = 10 - 26*l**2 + 15*l**2 + l + 18*l**2. Let g(r) = 9*j(r) + 4*u(r). What is g(5)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooopoooooooooopoooo. Give prob of sequence op.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhilhhalhihalhhi. Give prob of picking 2 l and 2 a.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 176?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 3*c**2\/2 + 82023*c\/2 - 205095 = 0?\nAnswer: -27346, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 103356 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 274986600 to the nearest 1000000.\nAnswer: 275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -39116 divided by -3556?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 52*i - 40. Let w be g(-35). Suppose -w*z + 553*z = -22. Let y(a) = -a**3 + a**2 + 2*a. Let s be y(2). Which is bigger: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-9)\/(-12))\/(21\/140). Let w(f) = -f**2 + f. Let m(o) = o**2 - 7*o + 17. Let z(v) = -m(v) - 5*w(v). List the prime factors of z(r).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sggkggksggkk. What is prob of picking 2 g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3414 = -3*b - 2*q + 118, -3*q = -6. Suppose 13*s - 10*s + 4*v - b = 0, -4*s = -4*v - 1596. Does 36 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 124665645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30 - 561*b**3 + 30*b**2 - 30*b**2 - 3*b**4 + 4*b + 563*b**3 + 0*b to the form u*b**2 + f*b**4 + h*b + g + k*b**3 and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 496201\/2 or 248100?\nAnswer: 248100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -76*d**2 - 9*d - 18. What is b(3)?\nAnswer: -729","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -16\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 708\/7 - 11995\/126. Calculate the common denominator of 25\/508 and q.\nAnswer: 4572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 4:02 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - -3 - 15)*(-2)\/8 + 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + 49. Suppose -4*i + 40 = -p. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**4\/2 - 2*t + 403. Let h(y) = 170*y**2. Calculate u(h(v)).\nAnswer: 173400*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*c - 25*c + 10*c)*(2 + 0 - 1)*((-3 + 2 + 3)*(c + 0 + 0) + 4 - 4 + c) as q*c + h + z*c**2 and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17 = 5*y, -y + p = -p + 2. Solve 0 = 5*b, -3*b = -9*o + y*o - 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(7))**2 + -3 + -5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/19510828 and 93\/788032.\nAnswer: 2185212736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 433082773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47922)\/978*(-4)\/28.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68791402 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l - 4*l + 0*l)*(-18*l**3 + 64*l**3 + 423*l - 426*l) - 2*l**4 - 2*l**4 + l**4 as w*l + g + i*l**4 + y*l**3 + z*l**2 and give i.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 10934860.\nAnswer: 32804580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 52796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -239*m + 1. Let j be y(-1). Suppose -5*q - 500 - j = 0. Let g = q - -152. Solve -g*h - 3 = 13 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.3 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s - 5893 = -23335. Calculate the common denominator of 13\/60 and (-3)\/(-5)*9265\/s.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122022323 (base 4) in base 12?\nAnswer: 5204b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 656*m**2 - 3088*m + 84. Let d(f) = -326*f**2 + 1544*f - 36. Let c(u) = -14*d(u) - 6*q(u). What is the second derivative of c(b) wrt b?\nAnswer: 1256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4 - 82*a**3 + 624*a**2 - 1568*a + 1024 = 0.\nAnswer: 1, 4, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 4\/5, 3\/229, 2?\nAnswer: 3\/229","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/11 - 8714*y\/11 + 5860212\/11.\nAnswer: 2*(y - 3526)*(y - 831)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f. Let d(g) = 9*g. Let s(q) = 24*q + 15. Let t be s(3). Let m = -115 + t. Let i be (-2 + (-200)\/m)*28\/(-6). Give i*x(b) - 3*d(b).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3006199 is divided by 751542?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*x*x**(-1\/9))\/x)\/x)\/(x**(-4)\/x))\/(x**(-4))**(-14))**(-1\/53) assuming x is positive.\nAnswer: x**(460\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 5*z - z + (0 - z + 0)*(-4 + 1 + 5) + z + z - 3*z - 2*z - z + 2*z + (-2*z + z + 3*z)*(1 + 1 - 3) - 2*z + 3*z - 2*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 38432 = -5*o + 34163, o = -4*v + 14535. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 - 16*r**3 + 17*r**3 - 7*r**3.\nAnswer: -15*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 + 42. Let z(f) = -6*f + 3. Let x be z(-7). Suppose -4*i - x = -5*i. Calculate the remainder when i is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75)\/125*28\/21?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/(-6)*42\/28. Let x(y) be the second derivative of -y + 3\/2*y**w - 2\/3*y**3 + 0. What is the first derivative of x(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.31 - 1.27. Is 0 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 4*n**2 + 7*n - 6. Let u be b(5). Suppose 3*i + h - 27 = 0, 0 = i - 5*h + 11 - u. What is the least common multiple of i and 5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three eighths of a microsecond?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -827 (base 9) to base 12\nAnswer: -481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, p: 7, t: 8}. What is prob of sequence npp?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34774, 69457, 104140, 138823?\nAnswer: 173506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*o + 6*h - h, 5*o = 5*h + 40. Let c = 12.9 - 13. What is the closest to c in 0.9, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/11)*c*c)*c)\/(c**(-5)\/c)*c\/(c**(-1\/3)\/c)*c**(-4\/3) assuming c is positive.\nAnswer: c**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z + 4*z + 4*z)*(z**2 + 0*z**2 + z**2)*(45 - 200 - 90) in the form n + h*z**2 + o*z**3 + d*z and give o.\nAnswer: -980","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 2*i**2\/5 - 42*i - 34532\/5 = 0.\nAnswer: -89, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 154, 165, 176, 187?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/2 - 413\/(-14). Let p = s + -16. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 13246560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(-1 + sqrt(19))**2 - (sqrt(1900) - sqrt(1900)*-2)**2).\nAnswer: -17198 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l + 3*l - 3*l + 172*l - 5960 + 5960 - 5*l - 2*l + 2*l + (2*l - 2*l - l)*(3 - 3 + 2) + 3*l + l - 3*l - l + 1 - 1.\nAnswer: 167*l","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 3 times 29.5\nAnswer: 88.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c\/(c**(-1\/19)\/c*c))\/(c\/(c*c*c*c*c**(-33)*c*c)))**(-1\/65) assuming c is positive.\nAnswer: c**(474\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 53 times 0.1048\nAnswer: 5.5544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -114322.\nAnswer: -2\/57161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 0.4 (c) 3 (d) -0.3 (e) -8\/88811\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 - 4. Let t(n) = 5*n**2 + 4. Suppose -5*u = b - 11, -3*u + 5 + 8 = -b. Give u*f(h) + 2*t(h).\nAnswer: -2*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*k + 3*k + k + 0*k to j + i*k and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.01, -177, 4, -5\/4, 16 in ascending order.\nAnswer: -177, -5, -5\/4, 0.01, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duu when three letters picked without replacement from zuwojduz?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*m**3 - 3 + (2*m**2 + m**2 - 2*m**2)*(-4*m + 3*m - 2*m) + 2*m**3 - 3*m**3 - 3*m**3 - 2*m**3 + 0*m**3 + m**3)*(40*m - 19*m - 22*m).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -602 + -10553130?\nAnswer: -10554032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 3*l + 445, 0 = -0*k - 4*k - 5*l + 923. Suppose 6*q - q + k = 3*p, -q - 415 = -5*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88885 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30706.749 - -30725.6991713. Let s = 0.1510187 + g. Let d = s - 19.1. Round d to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + (-2*sqrt(110) - sqrt(110)) + sqrt(110))*2 - sqrt(110))\/(sqrt(10) + sqrt(40)\/sqrt(16)))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + v + 5*j + 97 = 0, -4*v + 2*j + 82 = 0. Let k = v + 8. Calculate the greatest common divisor of k and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-10)*15\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(-3 + 4 + 0)*(2 - 2 - 2*j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 80620.82 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51476805?\nAnswer: 3, 5, 37, 43, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f2 (base 16) in base 12?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -20*v**3 + 2*v**2 + v + 1. Let y = 0 + -1. Let o be i(y). Suppose o*c - 10*c = 300. What is the highest common factor of 75 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/46107 + -84206755\/92214. Suppose -3*m = -0*m + 2694. Let k = m - z. What is the common denominator of -63\/2 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46, -89, -132, -175, -218?\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opx when three letters picked without replacement from {j: 6, p: 2, x: 4, g: 4, o: 1}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 334 - 322. Solve 0*z = 4*z - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of 5*r**3\/3 - 500*r**2 - 1005*r + 821. Factor v(q).\nAnswer: 5*(q - 201)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*-2*-5*sqrt(57))\/(sqrt(24)\/(sqrt(512) - sqrt(512)*4 - sqrt(512))))**2.\nAnswer: 2521497600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**5 + 420*z**4 - 13920*z**3 + 227200*z**2 - 1824000*z + 5760000.\nAnswer: -5*(z - 20)**3*(z - 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23136146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f*f\/(f\/(f\/f**6)))*(f\/(f**(2\/15)*f))\/f)\/(f\/(f*f*(f*f**5)\/f)*f**(-2\/19)*f) assuming f is positive.\nAnswer: f**(2557\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 5*b**2 + 4*b + 4. Let k(y) = -y**3 + 5*y**2 - 5*y - 5. Let s(m) = 3*k(m) + 4*v(m). Is 14 a factor of s(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/35)\/((-33)\/(-110)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18907 and 667366?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53 is divided by (1*3)\/(21\/98)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**3 - 17*k**2 - 11*k - 19. Determine f(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 + 73.9. Let t be (-140)\/98*10\/(-25). Let v = -0.1 + 0.3. Which is the fourth biggest value? (a) -2 (b) v (c) y (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148737 is divided by 2318?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -293*h - 15961. Give a(-51).\nAnswer: -1018","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 + 1.6. Let x = 1.145 - -0.055. Let t = k + x. What is the nearest to 0 in 0, 1, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 43319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:55 AM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 4\/20370415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9, -27, -227, -705, -1575, -2951, -4947, -7677?\n\"Answer: -19*a**3 + 32*a**2 + a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3168, -2542, -654, 3126, 9428, 18882?\n\"Answer: 105*n**3 + n**2 - 112*n - 3162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -9)*(-3)\/6. Suppose 6 = o - n. Suppose -b - 7 = m - 20, -5*m = -3*b - 9. Is b less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qga when three letters picked without replacement from ggxxqqqgggagaag.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 5*z**2 + 13*z + 16. Calculate w(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 509240 = -300760. What is k rounded to the nearest ten thousand?\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2197352 is divided by 37.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 115214682 to the power of 1\/3, to the nearest integer?\nAnswer: 487","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*c + 4*s, -s = -4 - 0. Let z be 1*c\/(-12)*0. Solve -4*w - 11 - 1 = z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 3, u: 3}. What is prob of sequence uu?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*-8*(-11)\/(-132).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2004*r = 452*r - 1077*r - 105160 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27231 and 56811?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 61.7466 + 243.0864. Let q = -304.9496 - 0.0504. Let g = q + d. Round g to 2 decimal places.\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*q**2 + 28*q**2 + 17*q**2 + 38*q**2 + 1812 to the form f*q**2 + n*q + c and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -2*o**7\/105 + 19*o**6\/30 - 7*o**5\/3 + 17*o**4\/6 - o**2\/2 + 4*o - 84. Let l(z) be the second derivative of p(z). Factor l(x).\nAnswer: -4*x*(x - 17)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-2)*(v\/(v\/v**(-10)))\/v*((v**(-6)*v*v)\/v)\/v**(2\/17) assuming v is positive.\nAnswer: v**(-291\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 690160 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 6*f - 7*f**3 + 4*f**2 + 3*f**3 + 2*f**2 - 4*f**2 to z + b*f + g*f**3 + x*f**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7134 rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and ((-416)\/312)\/(2\/(-39)).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12*13 - 8*(-5)\/(-8) is divided by 44.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/3 - 33926*r**2\/3 + 67768877*r - 93980959548.\nAnswer: -(r - 2679)**2*(r + 39284)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 1.3 (b) 0.2 (c) 0.5 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9122.16 - 9122. Which is the third smallest value? (a) -9 (b) l (c) 2\/9 (d) -1 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 7) to base 16\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631007542?\nAnswer: 2, 11, 31, 43, 21517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 1722512559?\nAnswer: -1722512558.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176642272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -4*f**3 - 2*f**2 - f**2 - 3 + 5*f**3 - 2*f + 4*f. Let z be d(3). Suppose 5*b - 5*q - 451 + 111 = 0, -b + z*q + 70 = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b + 335470. Let y = b - 112094. What is y rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -495 - -495.5. Which is the nearest to 0.1? (a) p (b) -9 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 112\/(-64)*26\/1183?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/166, -4032, -6, -0.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3122 - 30233?\nAnswer: -21111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**4)**(-2\/69)\/(u*u**(-1\/2)*u**(-14)) assuming u is positive.\nAnswer: u**(1843\/138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-21) + (-78)\/(-21). Let k = 4 + 0. What is the second derivative of -5*t**h - 3*t + 0*t + 11*t**k + 0*t wrt t?\nAnswer: 72*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 178505602.\nAnswer: 2, 11, 179, 45329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1790783*q**2 + 754950*q wrt q?\nAnswer: -3581566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 8:13 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {u: 1, o: 4, f: 1, z: 2, h: 2, q: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1079\/(-130) - 7\/(350\/(-15))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10174629?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*(-5 + -2 + -1). Let o = 7 + j. Calculate the remainder when o is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (42\/94)\/(203*88\/2552)\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3823?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v**2. Suppose -u + 20 - 6 = 0. Suppose 8*t - u*t = 0. Let q(d) = -3*d - d + t*d. Give g(q(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-4\/5)*d*d**7)\/(d\/(d\/d**(-5\/4))*d**(-1\/13)) assuming d is positive.\nAnswer: d**(2217\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**3 + 152980*o**2 + 611860*o + 611840.\nAnswer: 5*(o + 2)**2*(o + 30592)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/7 (b) 304354 (c) 3\/7 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 617, -3.\nAnswer: -3, 25, 617","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**4\/4 - 16*r**3\/3 - 17*r**2\/2 - 22*r - 7. Is c(-15) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 14 = -2*f, 5 - 26 = -3*f + 2*w. Suppose -5*s - 17 = 13. Let u(a) = -4*a**2 - a + 6. Let j(l) = -5*l**2 - l + 7. Give f*u(b) + s*j(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -2*q. Suppose 0 = 4*u - 3*j - 64, q = -u + 2*u - 4*j - 29. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 38210 and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*h + 294 = 3*h, -h = 5*i - 735. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51348 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**24)\/o*o\/(o*(o**(1\/4)\/o)\/o))**(13\/6))**(1\/43) assuming o is positive.\nAnswer: o**(-1157\/1032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -46, -77, -120, -175?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170829471?\nAnswer: 3, 139, 151, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**3 + 1 - 1 + (8389 - 8389 - 159*q)*(q + 4*q - 4*q)*(1 - 1 - 2*q) - 6*q**3 + 3*q**3 + 5*q**3 to t*q**2 + y*q + h + v*q**3 and give v.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 37, 4, -2\/9, -5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16256? (a) 0.4 (b) -2\/7 (c) -3 (d) -4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/3)\/((-3)\/(-9)). Let p be ((-2)\/30)\/((-4)\/d). Let n = 125 - 124. What is the nearest to n in 3, p, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -n + 17, 1826*b + 5*n - 1 = 1830*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i + 2*i**2)*((-2 + 5 - 4)*(-4*i + i + 2*i) - 24*i - 951 + 951 + (-1 - 1 + 0)*(-5*i + i + 2*i)).\nAnswer: -38*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333323210320 (base 4) to base 6.\nAnswer: 1355112224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 100 and 5295.\nAnswer: 105900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 409.1239m?\nAnswer: 0.4091239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vx when two letters picked without replacement from xxvvxpvxvxxxxxxxvv.\nAnswer: 11\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-9))**33)**(-6\/7))**(-11\/3))**(-46\/7) assuming i is positive.\nAnswer: i**(267168\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 2, 0.04, 0.2, 2\/11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 62 = 2*m - 173 + 25, 117 = 82*m + t + 146 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 70*y**3 + 34*y**2 + 1650*y + 51. Let b(w) = 17*w**3 + 8*w**2 + 412*w + 12. Determine -17*b(f) + 4*d(f).\nAnswer: -9*f**3 - 404*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.044 and 16730145054.\nAnswer: 16730145053.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 31*l**4\/4 - 90*l**2 - 10*l. What is the derivative of f(h) wrt h?\nAnswer: 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 1)*(2 - 2*c - 2) + (-2*c + 2*c + 2*c)*(3 - 3 - 1) as l*c + f and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c - 348 = -43*c. Suppose 5*m - 394 = c. Is 13 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -76 + 76. Solve 3*u - 5 - 4 = l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m - 4 = 2*o, -o - 4 = 0. Suppose 0*j = 2*j. Suppose j = -2*a - 5*n - 2, -4 = a + 4*n. Calculate the remainder when a is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*w**4 - 5*w**4 - 3*w**4 + 5*w - 5*w - w**4 + (-2 - 2*w + 2)*(w**3 + 2*w**3 - 4*w**3).\nAnswer: -2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 494691 to the power of 1\/2, to the nearest integer?\nAnswer: 703","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**9\/432 + 2*y**6\/45 - 5*y**3\/6 + y. Let m(s) be the second derivative of q(s). What is the third derivative of m(b) wrt b?\nAnswer: 420*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2202 is divided by 1033?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 720 is divided by 168.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 10*n + 58. What is o(-18)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 8) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 - -1)*(-1)\/(-5). Let m = 9 - 9.1. What is the third smallest value in s, m, -0.5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 42, 77, 4 in descending order.\nAnswer: 77, 42, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 p when two letters picked without replacement from jgbpt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1548 and 1352436.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 8*h**2 - 21*h + 9. What is b(10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 - 1307212*m - 88885792.\nAnswer: -(m + 68)*(m + 1307144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 138 divide 119358132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, -3 in decreasing order.\nAnswer: 6, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, -49.4, 0, 0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 195 and 21285.\nAnswer: 276705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10307 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 31, 15, -5, -29, -57, -89?\n\"Answer: -2*k**2 - 6*k + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -160183*k**3 + 3226*k**2 - 5*k.\nAnswer: -961098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.8501598 rounded to one dp?\nAnswer: -15.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2. Suppose -12 + 0 = -4*l. Let a(g) = -l*g + 3*g + 3*g + 0*g. What is p(a(s))?\nAnswer: -9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4 - 2*c + 4*c - c. Let j(o) = o**3 - 2*o**2 - 4*o - 1. Let q be j(3). Determine s(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 + 3*a - 7. Let y(l) = -2*l**2 - 2*l + 7. Calculate 4*g(u) + 5*y(u).\nAnswer: 2*u**2 + 2*u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 659.749938 (c) -3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16334*a - 16338*a - 9 = -u + 2, -4*a = -2*u + 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 673 or 143095?\nAnswer: 143095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85\/4 + 21. Let s = 5247.2 + -5247. Let g be (-2)\/7*(1 - 3). Which is the fourth smallest value? (a) -4\/9 (b) g (c) s (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1014 - 1009. Suppose -63 = -3*f - 18. Suppose 4*t = f + b. Solve -p + 2 = j - 2*j, -t*j + 22 = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 + r**2 - 5*r - 2. Let t(l) = 5*l**3 + l**2 - 6*l - 2. Let d(v) = -6*i(v) + 5*t(v). Let k be d(2). Does 11 divide 87\/k + 3\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34420199?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2713, 6807, 13611, 24481, 40773, 63843?\nAnswer: 95047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/3)\/j)**(-12\/11)\/(j**1)**(-8\/11))**(-11\/3) assuming j is positive.\nAnswer: j**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 28, 2\/5, 4\/3, 1\/4.\nAnswer: -11, 1\/4, 2\/5, 4\/3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -147684 - 1884. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 3*a - 2*a**2 + (-1 - 1 + 3)*(-3 - 2*a**2 + 3) + (-2*a - 8*a + 0*a)*(37 - 37 + 19*a).\nAnswer: -194*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 5*m = 1516, 1944 = 8*t - 3*t + 6*m. Does 33 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (6 + 1 + -12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (170\/(-16))\/5 - (-16 - -14). What is the closest to 3 in -0.1, -3, h, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 + -0.3. Let z = 0.8677 + 0.1323. Let t = 6 + -3. Which is the nearest to k? (a) t (b) z (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -50.\nAnswer: 38\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 - -317645\nAnswer: 317645.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 22?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = m - 2. Let j be 0 + m\/((-4)\/10). Suppose f + 428 = 4*z, 2*z - j*f - 102 - 94 = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 2*k. Solve 3*c - k*c - 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16865, -17607, -18843, -20573, -22797?\nAnswer: -25515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = -22*m + 4. Suppose -2*l + m = 6. Let j be (6\/5)\/((3 + -4)\/5). Let n(z) = -z**2 + 1. Let u(i) = 7*i**2 - 8. Determine j*n(h) + l*u(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(10\/7)\/u**10*u**(10\/3)\/(u*(u*u*u**(-10)*u)\/u) assuming u is positive.\nAnswer: u**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277487319 to the nearest integer?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5416)\/6 - 2\/6. Is 20 a factor of g\/(-15) - 4\/20 - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.04100066743 + 49327.27100616743. Let s = g - 49327.1. Let l = s - 0.13. Round l to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 42567?\nAnswer: -42567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-42))\/(10\/(-240)*4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1312443 (base 6) to base 8.\nAnswer: 214313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -14026.27 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -0.01614\nAnswer: -0.003228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 8) in base 5?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*y - 5*v, 2*y - 9 = -y + 3*v. Suppose -22 = -5*s - q + 14, -4*s + 48 = -y*q. Calculate the highest common divisor of s and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four fifths of a gram in milligrams?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44300000 rounded to the nearest one million?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 10652241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*y - 2*f - 188, -4*y = 4*f - 204. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v**2 + 6746*v - 6746*v.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 30*y + 207. Calculate the remainder when 279 is divided by i(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, i: 12, e: 1}. Give prob of sequence yeiy.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4418*l**3 - 153099633*l**2 - 1326401878920*l - 663162665104.\nAnswer: -(2*l + 1)*(47*l + 814348)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/26*(66105\/4290 - 16).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10453, 83325, 281127, 666325, 1301385, 2248773, 3570955?\nAnswer: 5330397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 140?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -142, 96, 0.216 in decreasing order.\nAnswer: 96, 0.216, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 12*n**2 - 7*n - 2. Let s be k(9). Suppose 346 = 5*r + 951. Let q = r + s. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/4*(-8 + 12). Suppose -i*w + 0 + 18 = 0. Calculate the highest common factor of 2 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 8*l**2 + 7*l + 5. What is b(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10852933\/83058 + -7\/27686. Factor -56\/3*j - 2\/3*j**2 - a.\nAnswer: -2*(j + 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/61 (b) -0.1 (c) 3 (d) 3\/8 (e) 9.103 (f) 0.5 (g) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 400009 or 400005?\nAnswer: 400005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.2 (c) 222638091\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20 and -241660567.8659.\nAnswer: -241660587.8659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (11 - 10) + 17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (13 - 51) - (3 - -10)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004684685 rounded to 4 decimal places?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/3350*10)\/(6\/(-303)). Is -2 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28011 - 30843.2. What is f rounded to the nearest 10?\nAnswer: -2830","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/525228490 and -119\/20.\nAnswer: 1050456980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -617\/13978 - 3073561\/60203246. Let g = 4\/59 + u. Which is the fourth smallest value? (a) -2 (b) 1 (c) g (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g = 4*a - 25, -2*a + 3*g - 19 = -44 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33616 is divided by 410.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1. Suppose -30*o + 25 + 5 = 0. Let u(q) = q - 1. Let r(j) = 8*j - 11. Let c(a) = o*r(a) - 5*u(a). Give c(f) - 6*t(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3471902667299 plus -0.3?\nAnswer: -3471902667299.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5517791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.14, -0.4, 4, -2, 20\/489, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11084252 by -13133.\nAnswer: -844","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -13001202323?\nAnswer: 13001202313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (9 - (-4 + 13))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 26*v - 42. Let h be d(24). Suppose m = -b + 6, -b = -0*m - m + 2. Solve -4*x = -h*x - b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 + 2*w - 2. Let a be p(0). Sort 1, -3, -5, a in increasing order.\nAnswer: -5, -3, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*z**4 + 70*z**2 + 4*z - 6308.\nAnswer: 372*z**2 + 140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:53 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3453*u + 31096. Give l(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 609715 is divided by 304796?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 58?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11774631.4 to the nearest 100000.\nAnswer: 11800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 3:33 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2154 + 19*y + 2154.\nAnswer: 19*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 276?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**2 + v + 5. Let w(u) = -u**2 - 2*u - 5. Let g(t) = 5*r(t) + 6*w(t). Let x(q) = -q**3 - 8*q**2 + 5*q - 40. Let m be x(-9). Give g(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (198\/(-27))\/((-4)\/6). Suppose -20 = 9*g - z*g. Calculate the remainder when 22 is divided by g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-1)*(-4)\/(-5))\/((-26)\/(-5))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**5*l\/((l\/((l\/l**8)\/l))\/l)*l*l**(-1)\/(l*(l**(2\/5)*l)\/l))**43 assuming l is positive.\nAnswer: l**(-731\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1165 and 57?\nAnswer: 66405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 - 6. Let z = -16 + -5. Let i be ((-4)\/z)\/(6\/(-7)). Put -5, d, i in increasing order.\nAnswer: -5, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128\/79 + -8099\/5925. Let o = a + 2\/25. Factor -1\/2*h - 1\/3 + o*h**2.\nAnswer: (h - 2)*(2*h + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/613 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588512 is divided by 49?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6075679622.\nAnswer: 2, 271, 11209741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.11028.\nAnswer: 0.444112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -61, -124, -185, -244, -301?\n\"Answer: f**2 - 66*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**2\/7 - 4677*o + 2212380\/7 = 0. What is o?\nAnswer: 68, 10845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3196?\nAnswer: 1\/1598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32 - -20. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 0*c + 3\/2*c**2 - 27\/2 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 7 + (-10 - 0 - -5) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from evve. What is prob of sequence evve?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 4*c = -4*b - 26, 0 = 5*b - 5*c - 55. Suppose b*v + 144 = 13*v. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 - -2)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10079 + x - 10192 + x as c + l*x and give c.\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 0 (b) 5 (c) 0.5 (d) -767\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*c - 279*c + 2233 = 0. What is the highest common divisor of c and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:53 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3370.9 + 3371. What is the nearest to -19 in 0, 0.4, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -4232774 (c) 4\/9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 215.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 2}. Give prob of sequence ik.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2694.2 - 2694. Let i = 6.4 - 6. What is the nearest to i in -2\/7, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 119, 330, 735, 1430, 2511?\n\"Answer: 16*f**3 + f**2 + 96*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.8 + 1.8. Let n = -508.44 - -487. Let f = t - n. What is f rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 7:39 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5989*g - 14785 = 362522 for g.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19462, -38910, -58358?\nAnswer: -77806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 163 - -57794643957.6\nAnswer: 57794644120.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - -3)*(1\/(-3) - -1). Suppose -4*p + v*f = 7*f - 59, p = -f + 16. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49860071*x + 49860071*x - 12*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 794?\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 119 = -123 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2448) - (0 + (sqrt(2448) - (0 + sqrt(2448))))) + -1 - ((2*(sqrt(2448) + 1))**2 + sqrt(2448) + 2).\nAnswer: -9799 - 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b. Suppose 0 = 2*j - 2*g - 4, -2*g + 12 = 3*j + g. Suppose p + j*p = 12. Let s(w) = 4*w - 6*w + p*w. What is n(s(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 12:50 AM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/6 + 4439*g**2\/6 + 11107*g\/3 + 4444 = 0.\nAnswer: -3, -2, 4444","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4 less than -138032.6?\nAnswer: -138052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.6. Let l = 29 - 231\/8. Sort 0.1, l, n in descending order.\nAnswer: l, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + (-1 - -4))\/((-8)\/96). Let b(n) = 2*n**2 + 37*n + 29. List the prime factors of b(d).\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**4\/6 - 5*s**2\/2 - 4*s. Let j(d) be the first derivative of p(d). Let w(k) = -5*k. Determine -6*j(u) - 5*w(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/10 + 1348\/8. Suppose z - a = -4*d + 120, -5*d = -4*z + 1135. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + -30. Let q = 238007009.9999898 - 238007050. Let d = q - i. What is d rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - z = 20. Let a(x) = 12*x + 582*x**3 + 8 - 5*x**2 + 8 + x**2 - 6*x**2 - 583*x**3. Let d be a(-11). Solve 5*w + d = z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - 1)*5)\/(-3)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s**4 - 22*s**3 - 121*s**2 = 0. Calculate s.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2.658 and -11599996652.\nAnswer: -11599996654.658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247685\/1048 or 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1444 + -35?\nAnswer: 1406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33207 is divided by 327.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 229604 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/4440810 and 19\/161484.\nAnswer: 8881620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - m + 3 + 0)*(0*m - m - 12 + 2*m) in the form h*m**2 + u*m + n and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**3 + 5*i**2 + 7*i + 8. Let d be n(-4). Let t be 438\/d*(10 + -6 + -8). What is the tens digit of 1\/((4 + -2)\/t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 1 - 19. Let d be (30\/60 + 28\/6)*p. Solve 21*s**4 - d*s**2 - s**3 + 4*s + 8\/3 = 0 for s.\nAnswer: -1, -2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132)\/sqrt(3))\/sqrt(2))\/(sqrt(24)\/sqrt(300)) + 0)**2.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1689*f - 1684*f = 5*t + 100, -2*f + 20 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3*k = -19, a + 4 = 4*k - 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 204 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/168 and -53\/359919?\nAnswer: 2879352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -94, 1.6, -0.077, 0.1, -2\/19, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 5*a**2 - 4*a + 9. Let d = 44 + 18. Calculate the remainder when d is divided by j(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (27\/6)\/(1\/(-2)). Let i = f + 20. Let o(t) = -3*t + 1. Let m(l) be the third derivative of -3*l**4\/8 + l**3\/2 - 3*l**2 + 33. Determine i*o(h) - 4*m(h).\nAnswer: 3*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10046810 divided by -5023405.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/16072224 and -115\/18368256.\nAnswer: 128577792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 6*g - 4*m, 5*g = -m - m - 28 + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**3. Let n be p(-1). Suppose g - 328 = -n*g. Suppose 5*w = 2*q - g, -q + 3*w = 4*w - 27. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -2\/1899 (c) 5 (d) -0.1 (e) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:29 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 - -5. What is the units digit of (-92)\/2*1\/b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(-3*y + 7*y - 4 + 128*y**2 - 123*y**2).\nAnswer: -10*y**2 - 8*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 7*b - 12. Let k = 8.4 + 36.1. Let j = k + -45. What is the closest to -3\/2 in 3, j, b?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 3*q - 2. Let r be f(4). Let j = -0.05 + -8.95. Let v = j + 6. What is the biggest value in -0.4, v, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 2*z - 3, z - 5 = -i - i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + ((-8)\/(-2) - 8). Factor -1\/3*h**3 - k*h + 2*h**2 + 0.\nAnswer: -h*(h - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u - 48 = -24 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 22. Put 5, n, 6 in decreasing order.\nAnswer: 6, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 16*l**2 - 26*l - 16. What is the lowest common multiple of r(14) and 3\/(((-2)\/24)\/((-4)\/36))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 9472.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1358 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 37 = -102. Calculate the remainder when 50 is divided by a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21176, -1, 3, 5 in descending order.\nAnswer: 21176, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -11. Suppose -521 + h = -2*g - 5*m, -4*g - 2*m + 946 = 0. Suppose -4*u + 40 = t, 0 = -5*t - 3*u - 0*u + g. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, j: 5, u: 3, l: 7}. What is prob of picking 4 l?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3\/12*-2 + 14826\/84 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -1, -73, 5, -5, -7, 3 in decreasing order.\nAnswer: 5, 3, -1, -5, -7, -73, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 117779140 to the nearest one million.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2 - s + 2 - 16*s**3 + 17*s**3 + s**2. Suppose 2 - 4 = -2*n. Let r(d) = -4*d**3 - 3*d**2 + 2*d - 2. What is n*r(a) + 3*k(a)?\nAnswer: -a**3 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2\/5 + 2220*w + 22188\/5.\nAnswer: 3*(w + 2)*(w + 3698)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 29, 53, -880, -2.5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1203 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: Sort -11, 0, -40757 in decreasing order.\nAnswer: 0, -11, -40757","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8305 + 2*k**2 + 8313 + 341*k - k**2 - 16612 to the form i*k + v + c*k**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 68a?\nAnswer: -68a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 327635378 to the nearest integer?\nAnswer: 18101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcbbcciinbnccccnccc. What is prob of picking 1 c, 2 i, and 1 b?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114200300 (base 6) to base 2.\nAnswer: 1000001111110010101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2396827347.\nAnswer: 3, 798942449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/120*(-8)\/(-4). Put -1\/5, c, -4\/3, -3 in increasing order.\nAnswer: -3, -4\/3, c, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11344*h**3 + 22587*h**3 - 11253*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 0*i - 2*p + 38, -12 = -3*p. Let d = 7 - i. Let z = 10 + d. Calculate the smallest common multiple of 11 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 5*i - 3*v, 33*v = -i + 38*v + 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/6)\/(-18))\/(3\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1510 = -73*y - 196. What is the remainder when 104 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 308*a**3 - 22*a**2 - 732*a - 11. Let v(j) = -155*j**3 + 12*j**2 + 366*j + 6. Let h(x) = -6*f(x) - 11*v(x). Find the second derivative of h(b) wrt b.\nAnswer: -858*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1353 - 2\nAnswer: -2.1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 726 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 53?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481240857 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -4. Let g be (-35)\/(-4) - (-2)\/8. Let q(r) = -r + 9. Let c be q(g). Solve 6 = -2*x - 0*x - 5*w, c = -u*x - 2*w + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97833049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 28506497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -238*f + 47. Let s(m) = -m + 1. Let q(y) = -i(y) + s(y). Is q(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5285.41 rounded to the nearest 10?\nAnswer: -5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 1. Let w = 2 + -2.1. Let h = o + w. Which is the third biggest value? (a) 1\/4 (b) h (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -114\/731 + 502693\/21930. Let j be 2\/(-4) - 170\/(-12). Let d = g - j. Calculate the common denominator of d and -65\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19361 + 576.19361. Which is the smallest value? (a) -4 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27523250933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aacss. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4767832372 and 0.017?\nAnswer: 4767832371.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386690 divided by -193345.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1584) - (sqrt(1584) + 0)) + 1 + (2*(0 + sqrt(1584)) - sqrt(1584)) + 0)*-1 + -4)**2.\nAnswer: 120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 512 = 5*v - 83. Let a = v - 113. Solve 0 = 2*q - 4*j + a, q = -0*q - 4*j + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11 + -74841b?\nAnswer: -74840a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549663.\nAnswer: 3, 53, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-100))\/(-4*4\/(-32))?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 12, 182 in descending order.\nAnswer: 182, 12, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2547 + -425473.\nAnswer: -422926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -334 (b) -0.2 (c) 2\/43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17485.757 to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -2. Let i = 1 + a. Suppose 1 = i*w - 15. Solve 2*j + j = -5*p - 11, 4*j = w*p + 28 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1453.\nAnswer: 4\/1453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 68 = 4*c - 63, -5*c + 180 = -3*o. Does 14 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 0 - (-17 - (-120 - -85))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 69 + 39. Let i be -3*(-6)\/r*-6. Solve 3*l - 5*g - 5 = -i*g, -l + 2*g + 10 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 5, 188, 11, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 348959237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1090126, 1090186, 1090244, 1090300, 1090354?\nAnswer: 1090406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -141*r + 7. Let u be n(1). Let y = 132 + u. What is the closest to y in 5, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*j - a, -a = -j + 3*a + 2. Let y(b) = -7*b**3 - 7*b**2 + b - 23. Let z(k) = 4*k**3 + 3*k**2 - k + 12. Let r(g) = -3*y(g) - 5*z(g). Give r(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.6 (b) -0.04 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 17*n - 61 + 33 + 7*n + 7*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*f**2 + 57*f**2 + 2*f**3 - 111*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8 and 950.9386572.\nAnswer: 958.9386572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21506 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2575628?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (570\/8)\/(13*8\/416). What is the derivative of 33 + 113*f**3 - s*f**3 + 23 - 223 wrt f?\nAnswer: -516*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 386329256 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3840)*-1)\/(1*sqrt(100)))\/(-5*(-3*sqrt(2205))\/sqrt(9)).\nAnswer: -8*sqrt(3)\/525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383271000 rounded to the nearest 1000000?\nAnswer: 1383000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + -3 + 8 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3186*h - 2921 + 980 + 13281 = -3501*h for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*w - 214 = -4858, -5*k + 4*w + 5796 = 0. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 + a?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 86189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6bca7 (base 15) to base 6.\nAnswer: -11211204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -123*(-9)\/1386*-22 + 18. Factor 72\/7*p + g*p**3 - 60\/7 - 27\/7*p**2.\nAnswer: 3*(p - 5)*(p - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 277 and 380321?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 10641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a factor of 86093?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 5*p - 1. Let a be m(-3). Let k(r) = 2*r**2 + 1. What is the smallest common multiple of k(a) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 53\/24*(-12 - 800\/(-60)) + -3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 7*i = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000292 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 5*t - 6*t + 48*t**3 + 31*t**3.\nAnswer: 78*t**3 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21\/188 or -12?\nAnswer: 21\/188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 8. Let k be b(-4). Let g = 2\/85 - 91\/255. What is the nearest to -19 in k, -0.4, g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 - 2 = 0. Let g(m) = 2*m - 4. Let i be g(a). Let j(s) = -s**3 + 2*s**2 + 2*s - 3. Let w be j(i). Let o(p) = 5*p + 1. Give o(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 1286.\nAnswer: 7716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:47 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/11, -571, -32?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcwop. Give prob of sequence pp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43701192 to the nearest integer?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 61 = -5*m. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of -p**3\/3 - 26*p**2 + 74*p - 189. What is the remainder when a(-37) is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Suppose m*i = q + 7 + 26, -i - 2*q + 4 = 0. Let u = i - 6. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.62 and -83388691875.\nAnswer: -83388691874.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10378, 19772, 29178, 38602, 48050, 57528, 67042?\n\"Answer: l**3 + 9387*l + 990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 88 + 192. Suppose 31*l - 352 = -2*d + m*l, -4*d + 4*l + 664 = 0. Calculate the remainder when d is divided by 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-88)\/(-396) + (-7)\/(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4*o*o**8)\/(o*o**(-2\/7))**30 assuming o is positive.\nAnswer: o**(-59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 705 = 12*s - 7*s, 407 = 3*s - 2*m. Suppose -140*l + s*l = -236. What is the least common multiple of (-51)\/(-3) - (-2 + 1) and l?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 14) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 100*v + 54. What is q(49)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -313\/12 (b) 2\/7 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.39257 or -2\/259?\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11 + 5*p**2 + 11 + (0*p + 0*p + p)*(5*p - 3*p - p) + (4*p - 1 + 4 - 2*p)*(869*p - 402*p - 307*p).\nAnswer: 326*p**2 + 480*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 58615, 116336, 174057, 231778?\n\"Answer: 57721*h + 894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -11*l**7\/105 + 17*l**5\/60 - 1148*l**3\/3 - 974*l**2. What is the first derivative of c(s) wrt s?\nAnswer: -88*s**3 + 34*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -k**5\/540 + 31*k**4\/216 - 40*k**3\/9 + 4079*k**2. Find i, given that p(i) = 0.\nAnswer: 15, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 126*z + 1. Let w(i) = -2*i - 23. What is s(w(p))?\nAnswer: -252*p - 2897","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 863.5014ng?\nAnswer: 0.8635014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -121*m**3 - 2*m**4 + 23*m**2 + 104*m**3 + 14*m**2 wrt m?\nAnswer: -48*m - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1212, -1207, -1204, -1203?\nAnswer: -1204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 144*x**2 + 1. Let f be 1 - (-2)\/2 - 3. Let z = f - -2. Is y(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -1. Let y(h) = 91 - 45 - 25 + 2*h - 22. Give y(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.25 - -0.25. Let j(f) = -4 - f - f**3 + 0*f**3 + 8*f + 5*f**2. Let q be j(6). What is the closest to 1 in q, l, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 65*i - 134 + 34 + 38 + 31.\nAnswer: 65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 249*u - 4692. Calculate l(22).\nAnswer: 786","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 89*i**6\/3 - 2633*i**3\/6 - 4024*i. Find the second derivative of f(z) wrt z.\nAnswer: 10680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30564060.\nAnswer: 2, 3, 5, 67, 7603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgv when three letters picked without replacement from vrvvvvvgvggrrvvgvv?\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1956404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 0.359806.\nAnswer: 12.359806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-252)\/(-24))\/((-6)\/(-8)). Let g = u - 10. Suppose 2*m = g*m. Solve m = -5*p - 10 - 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*i - 48 = 0. Suppose -3*y = o + 12, -4*o = 2*y + y + i. What are the prime factors of 2639\/42 + (-2)\/o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/360 - 5*y**4\/8 - y**3\/3 + 108*y**2. Let b(u) be the second derivative of d(u). Let n(f) = -f - 71. Determine n(b(c)).\nAnswer: -2*c - 71","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3060 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (432\/(-56))\/((-1)\/(-7)). Let t = v - -64. Let s(f) = 27*f**2 - 13*f**2 - t*f**2. Let w(y) = -7*y. Calculate w(s(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, w: 1, r: 3, p: 1, i: 1}. What is prob of picking 1 w, 2 r, and 1 i?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -146 + 159.7. Let q = -13.700088 + w. Round q to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4 - 39915*c**3 + 5*c**2 - 35902.\nAnswer: -24*c - 239490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 101657 in descending order.\nAnswer: 101657, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(56\/(-35)))\/(1\/4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -7, 3, 145.89, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3678898, 3678945, 3678992, 3679039, 3679086, 3679133?\n\"Answer: 47*v + 3678851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -10423, -22011, -34757, -48661, -63723, -79943, -97321?\n\"Answer: -579*k**2 - 9851*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -80 - -133. Let j = q - 2. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 67.95506cm?\nAnswer: 679550.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c - 3 + 3 + c)*(-287 + 503 - 309) to h*c + n and give h.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**(5\/7)*s))**(-1\/12) assuming s is positive.\nAnswer: s**(5\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 1, j: 1, v: 2, f: 1}. Give prob of picking 1 j, 1 b, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*15\/10*-1. Solve -2*f + c = -7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 3*b**4\/4 + 14*b**3\/3 + 3*b**2 + 2*b + 173. Give o(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 525, -3, 0 in ascending order.\nAnswer: -3, 0, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**2 + 7*g + 3. Let c(d) = 2*d**2 + 6*d + 3. Let s(m) = 4*c(m) - 3*t(m). Let v be ((-4)\/(-3))\/((19 - 21) + (-4)\/(-3)). What is s(v)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 + 10. Suppose -33 - 19 = -x*m. Let a = 0 - -3. Solve j - 3*c - m = -0*c, -a*j + 4*c = -24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367173163?\nAnswer: 7, 37, 41, 71, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((-12)\/(-16) + (-10 - (-280)\/32)). What is the nearest to 17 in -0.2, -0.7, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 26895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 1.2, 1\/3, -3\/7, -1 in increasing order.\nAnswer: -1, -3\/7, 0.06, 1\/3, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 + 205648*i + 411304 = 0. What is i?\nAnswer: -2, 102826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 102929.06 + -102929. Let x = -191 - -2099\/11. What is the third smallest value in -4\/7, i, x, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -156325009*y**2\/2 + 37509*y\/2 - 9\/8 = 0.\nAnswer: 3\/25006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 4. Let q = 2.1 + j. Let d = 0.3 - 1.3. What is the closest to q in d, -2\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -575883*-270.\nAnswer: 155488410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/162)\/((12\/(-6))\/126).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 8 = -4*v, 0 = -s + 2*v - 12 + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -0.9, -3, -4, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (55\/(-176))\/(((-198)\/(-132))\/(6\/(-10)))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 5*o + 11. Let s be v(2). Solve -2*r = -5*c + 27, -4*c = -s*r - 0*c - 25 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1692806155.\nAnswer: 5, 41, 43, 192037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -22. Suppose -r + k*r = 516. Let j = -82 + r. Calculate the smallest common multiple of 20 and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17426 is divided by 1036?\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65323.45 millennia to centuries.\nAnswer: 653234.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.5 - 21. Let b = 9.5118 + j. What is b rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + k - 1, 5*k - 4 = 3*j + 7. Suppose j = t - 2. Suppose 5*h = 35 - t. Calculate the remainder when 9 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -t - 2. Let q(g) = -g**2 - 7*g - 1. Let z be q(-5). Let m be 39\/z - 4\/(-6). Solve 1 - m = t*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1006, 2057, 3108?\n\"Answer: 1051*s - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-5)\/g)**(2\/21)*g**11*g**(-8)*g assuming g is positive.\nAnswer: g**(74\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/22 and 179\/16470.\nAnswer: 181170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 7*p - 0*p. Let k(d) = 2*d + 1. Let n be k(1). Suppose -4*z = -w - p, -6 = z + z - n*w. What is the remainder when 17 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6*k**2 + k - 1. Let m be f(1). Let w be 403 - (9\/m)\/(6\/8). Suppose 2*b - 2*y = b + w, 5*b + y = 1950. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -28*s - 7. Let l(g) = -4*g - 37. Let i(r) = 5*r + 30. Let h(d) = 5*i(d) + 4*l(d). Determine -7*h(y) - 2*m(y).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-708)\/(-9))\/(12\/(-54)). Let i = 724 - u. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001489 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/3 + (-4)\/12. Suppose -10 = 2*t, -t = -2*i + 5*i + x. Let h be i + -1*2 + 16. What is the greatest common factor of h and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*(r\/(r\/r**11))\/r*r)\/r*r*r**(-1)\/r)\/(r*r**2)**(-2\/3) assuming r is positive.\nAnswer: r**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6925 and 0.1.\nAnswer: 0.06925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4498 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + t**2 - 21 - 5*t**2.\nAnswer: -2*t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11112550.\nAnswer: 2, 5, 109, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -29. Let l be 302\/x + (-2)\/(-9). Let f = -8 + l. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6313 or -6377?\nAnswer: -6313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 - -44. What are the prime factors of (135\/(-6))\/(c\/16)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 - 4*z + 11. Let i(y) = 23*y**3 - 21*y + 55. What is -11*g(t) + 2*i(t)?\nAnswer: -9*t**3 + 2*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*l - 27*l - 30. Suppose -5*o + 85 + l = 0. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/1103310 and 49\/50922?\nAnswer: 3309930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(8) + 3)*-1.\nAnswer: -3 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -113, 614, 1825, 3520, 5699?\n\"Answer: 242*x**2 + x - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-2) + (-1)\/1. Let d(i) = 20*i - 21*i + 2*i**2 - 2*i**2 - 4*i**2. Calculate d(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4978828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -6\/43?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1474217194*j**5 - 11*j - 21752257?\nAnswer: 29484343880*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2 = -14. Suppose 0 = f + 5*i - 6, 3*i + 7 = f - 23. Calculate the remainder when f is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 2116652.\nAnswer: 19049868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486 and (-1)\/11 - (268801\/(-1265) - (-3)\/(-5)).\nAnswer: 34506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - -5*(2*sqrt(204) - sqrt(204)))\/(sqrt(1452) - sqrt(1452)*-2).\nAnswer: 2*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -838 - -816. Suppose -3*q - 2*q = 5*g - 6095, 3*g - 4*q - 3671 = 0. Is ((-10)\/3)\/(f\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125014242 and 3?\nAnswer: 125014242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0 - 65 = 0. Let p(a) = 4*a - 165. Let k be p(43). Find the second derivative of -7*n - k*n + 11*n + d*n**5 wrt n.\nAnswer: 260*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -4*c**3 + c**2 + 4*c - 2. Calculate x(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 12:42 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1067 + 84 - 322)*(2*o**4 + 0*o**4 + o**4).\nAnswer: -3915*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 356*i**2 + 477*i - 42807. Let c be q(357). Suppose 0 = -2*l + 44 - 0. What is the highest common divisor of l and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 12) in base 11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + 7.9. Let b = r + -4. Let v = b + -4.00062. What is v rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224147 to the power of 1\/2, to the nearest integer?\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (10 - 21) + 17\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-50)\/7)\/((-3413)\/(-23891))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8 + 2)*(-2)\/4. Let i be (-5)\/q - 2\/(-3). Let o be (-10 - 0)*2\/i. Solve o = -5*m - 0*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6\/11, -22, -2\/9 in descending order.\nAnswer: 1, -2\/9, -6\/11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zwzzwwzzwzzzwzzzzzw. Give prob of picking 2 z.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 585583640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77008 - -10801.3.\nAnswer: 87809.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + r + 3 = -3, -3*o + 16 = -2*r. Suppose 0 = o*y + 2*x - 54 - 4, -3 = -x. Let z be -1 - 2 - 4\/16*4. Put 0, y, z in increasing order.\nAnswer: z, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -2*z - 445. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n**2 + 265*n - 11. What is the thousands digit of i(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 230 and 110.\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 13, 6886 in descending order.\nAnswer: 6886, 13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20755261 + 118844624091\/5726. Let a = 1\/409 - b. What is the biggest value in a, 1\/2, -4, -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**2\/7 + 2852*l - 14234332 = 0. What is l?\nAnswer: 9982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -c**2\/2 + 8863*c\/2 - 755943 = 0?\nAnswer: 174, 8689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13421786 divided by -7?\nAnswer: -1917398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -5*t + 4*b - 15, t = -5*b - 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 5:49 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -272, -212, -150, -86, -20, 48, 118?\n\"Answer: w**2 + 57*w - 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 476, 886, 1570, 2528?\n\"Answer: 137*j**2 - j + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k. Let z(t) = -876*t - 450*t - 600*t + 155*t + 183*t. Calculate l(z(p)).\nAnswer: -3176*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.09 to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(((-4)\/(-3))\/(-52*((-504)\/21)\/72))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9291067 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.039177l in millilitres?\nAnswer: 2039.177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 62) + -64 + 74 - -15 - (-2 + 2)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 5, -2*o + 883 = 3*g - 2*g. Let h = 17 - 12. Suppose -h*j - 49 = -o. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 12 (b) 553755 (c) 3\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/14 and 51\/128.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**8\/151200 + g**6\/5400 + g**5\/12 - 4*g**2. Let p(j) be the third derivative of w(j). Factor p(u).\nAnswer: -2*(u - 1)*(u + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174112241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2\/5, -0.07, 3.1753?\nAnswer: 3.1753","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8252*n - 8254*n + 5*u = 55, 2*u + 6 + 26 = -n for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372595632 is divided by 279.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in -0.5, 4, 46, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 24, 12, -24, -96, -216, -396, -648?\n\"Answer: -2*w**3 + 2*w + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*a**2 - 4*a**2 - 8 + 15*a**2 - 10*a**2 - 3007*a**3 + 3005*a**3 in the form g*a**3 + b*a + z*a**2 + u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 21*p**2 - 2*p - 39. Let f be k(-21). Solve -f + 35 = 8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 + 47b?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (1*sqrt(2835))\/(sqrt(448) + sqrt(448)*2))*5)**2.\nAnswer: 225*sqrt(5)\/4 + 15525\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668*l - 2011*l + 673*l + 668*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 29*v**2 - 9*v - 76. Determine p(-29).\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/60 + 5*w**4\/24 + w**3\/3 - 19*w**2. What is i(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from zemzmzezzzyzymmz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*x - 29*x + 154. Calculate the remainder when 230 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 695, 1967, 4355, 8231, 13967?\nAnswer: 21935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -177627*i - 1421014. Determine h(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2\/1197, -0.5, -2\/3, 2 in decreasing order.\nAnswer: 2, -2\/1197, -0.5, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -100*26045\nAnswer: -2604500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 629a3 - a7?\nAnswer: 628da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7948 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 520, -16, -6, 2129 in decreasing order.\nAnswer: 2129, 520, -6, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (3*(5*2*sqrt(1872) + sqrt(1872)))**2 + 3.\nAnswer: 2038606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/18 + (-23718)\/(-54). Let k = p + -415. Suppose -5*u - 55 = -2*r, -5*r + 70 = -3*u + 4*u. Calculate the least common multiple of k and r.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.26 (b) -7 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 0*g + 7*g + 53*g**2.\nAnswer: 53*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6874, 5638, 4356, 3028, 1654, 234, -1232?\n\"Answer: -23*w**2 - 1167*w + 8064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -83 divided by 4727\nAnswer: -83\/4727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 38683 and 0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 2206 = -4*k, -3*k + 1653 = -4*q + q. Suppose -j = 2*b - 396, -2*b - 4*j - 165 = -k. Round b to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -114 + 114. Are a and 0 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -173*z. Let f(t) = -14*t**2. Give u(f(l)).\nAnswer: 2422*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*u = 33*u + 2*y - 2, -5*u + y = 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -226.39 + 227.39. Let d = 2 + -7. Which is the biggest value? (a) 0.1 (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*52.6082.\nAnswer: -210.4328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - s**2 - s + 1. Let t be u(1). Suppose t*d = -8*d + 24. What are the prime factors of -7 + d - (218 + 1)*-1?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44574, -44607, -44640?\nAnswer: -44673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110 - -1100?\nAnswer: -1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 + -172?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3013.032 decades?\nAnswer: 301.3032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837*s + 3546 = 244*s + 18371 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**1)**14 assuming x is positive.\nAnswer: x**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1027477 = 24*s + 59*s - 1278595. Round s to the nearest one hundred.\nAnswer: 27800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 7252 + 8148. Calculate the greatest common divisor of g and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -52*g**3 - 2*g - 1. Is h(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 28*q - 15*q = -102 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 23. Does 3 divide a\/15 - (-7)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72300408.\nAnswer: 2, 3, 23, 227, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 22. Suppose 12 = c*d, -47 = -2*h + 6*h - 5*d. Is 0 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 - 1\/((-10)\/17480). Calculate the greatest common divisor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-154)\/55)\/(((-19)\/(17632\/(-29)))\/((-15)\/(-12)))?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4371 - 4369. Solve -4*q + 38*n = 33*n - 15, y*q - 4*n = 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -y**4 + 4*y**4 - y**2 - 3 + 6*y**3 - 2 + 5 in the form x*y**2 + o + u*y + v*y**4 + j*y**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 4:38 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 + (1 - 1) + 6. Suppose -4*p = u*t + 8 + 4, -7 = -p + t. Suppose 0*a = -p*r - 2*a + 162, 3*r = a + 259. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-97 - -47) + (-6 - (-11 - 7))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2153 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 23*y - 9 = -22*y, -5*w = y - 19 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 1, 6, 1696 in descending order.\nAnswer: 1696, 6, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/120*12\/(-14). Which is the nearest to -3? (a) -5 (b) y (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 14 = 2*a, 2*a - 3*l = 404 - 432 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, -4020, 57.\nAnswer: -4020, 57, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37675006 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -709*u + 17817 = 3621 + 7656 - 15439 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = -39*v + 295. Solve -v*b + 9*b = -8, -4*a = 5*b + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -33*g - 1. Let k(h) = 461263*h - 461263*h - 20*h**2 + 0*h**2. Calculate l(k(b)).\nAnswer: 660*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s + 5. Give q(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -4\/7 (c) -112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275*r + 1602*r = -488*r - 52635 for r.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 6760 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 22*i. Let q(p) = -6*p + 4. What is f(q(r))?\nAnswer: -132*r + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 0*x**2 + 2*x**2 + (3 + 4 + 4)*(2*x + x + 3*x)*(x + 1 - 1) as c*x + d*x**2 + f and give d.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1203236560?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**5)**31 assuming j is positive.\nAnswer: j**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330\/(-380)*2*4\/14?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f - 19. Let p be r(-20). Solve -h - p = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1412546968 to the power of 1\/3, to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 1669*g - 14173. Determine z(7).\nAnswer: -2490","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10708 + 10720)*(-1 - (-13)\/3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*q - 373*q + 101*q = 0. Let c(j) be the first derivative of q*j**2 + 0*j**3 + 11\/2*j**4 + 3*j + 18. Differentiate c(r) wrt r.\nAnswer: 66*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6846 + 1700 = 306*p + 896 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41\/1*623\/(-623).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/2 - (31 - 28). Let o(a) = -a**3 + 2*a**2 + 4*a + 3. What is the remainder when 16 is divided by o(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**5\/50 - p**4\/6 + 8*p**3\/15 - 4*p**2\/5 - p. Let x(a) = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 16) in base 7?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 889 + -890 + 0 + 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.276 (b) -15 (c) 5\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2752423 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.76 + -1.15. Let o = 3.09 + u. Round o to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 5*a - o - 170, -a - 3*o = -34. Let h = 42 - a. Suppose -3*q + h = -1. Solve q*f + 0*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4208 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -949 + 1642. Let y = 687.79 - o. Let k = y + 0.21. Which is the closest to -1\/2? (a) 5 (b) 2\/7 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3 + -8 - -11) + -147. Let a = 161 + c. What is the remainder when 95 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11477*x = 12306*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 29*p - 2. Let y = -42 - -45. Let n(j) = -28*j + 1. Let b(u) = y*n(u) + 4*z(u). What is the first derivative of b(h) wrt h?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 35*y**2 + 116*y - 30. What is s(-4)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -162, 14, 5, 3, -4, -3, 4 in decreasing order.\nAnswer: 14, 5, 4, 3, -3, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**3 + 43*a**2 + 1 + 17*a + 43*a**2 - 88*a**2 to the form v*a**2 + d*a**3 + h*a + o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + 0 - 2*(sqrt(68)\/sqrt(4))**2.\nAnswer: -34 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -3*t - 11. Calculate o(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.41 - -11.69. What is c rounded to zero decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34550, 34506, 34432, 34328, 34194?\nAnswer: 34030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 248 - 252. Let w be (-1)\/(-10)*35 - (-2)\/n. Solve -o + 14 = -w*m, -2*o + 5 - 7 = 4*m for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**5 + 110*o**4 + 1665*o**3 + 680*o**2 - 13820*o - 18768 = 0. Calculate o.\nAnswer: -92, -17, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 133473\/7 and 19069 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 351\/39*(-70)\/(-63)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-36)*-3*6*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53000553 by 1.\nAnswer: 53000553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*g = -77 - 84 - 75 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245 - (3\/(-3))\/(1\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49824 and 73008?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6 - 1 - 2 - 9*r - 5 + 4*r. Suppose -4*w - 2 = -c - 2*c, -c + 3*w + 4 = 0. Let d(n) = 1. Calculate c*d(g) - k(g).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 369 by 9.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*z, -12 = -v - 2*z - 0. Find the common denominator of (0 + 10\/v)*(-29)\/5 and -109\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 132838296 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -30, -1, -0.0335, -5\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1221 and 888.\nAnswer: 9768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0)\/(16 + -17).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 98*v - 2124. Determine o(66).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 199.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*-1*sqrt(170) - -2*sqrt(170)*3)*6)\/(((sqrt(160)*-1 - sqrt(10)) + sqrt(120)\/(2*sqrt(12)))*1) + 2.\nAnswer: -16*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1404 = 57*v - 33*v + 132*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10588292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f**2 + f - 8. Suppose 0 = 2*n - 2, n - 315 = 2*q - 2*n. Let u be (2\/(-6))\/((-4)\/q). Let z(k) = -15*k**2 - 2*k + 17. Calculate u*b(v) - 6*z(v).\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 820 + -2459\/3. Which is the closest to -14\/9? (a) z (b) 4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 103*v**3 - 221*v - 251 - 105*v**3 - 10 wrt v?\nAnswer: -6*v**2 - 221","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -153*k**2 - 1532*k - 15. Calculate c(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -23647656 * -2\nAnswer: 47295312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1211 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 6, -237 in decreasing order.\nAnswer: 6, 0, -1, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17)\/(-2) + (-2)\/4. Suppose 2*t - p = 2*i, -5*t - 7 + 35 = 3*i. What is the third biggest value in 0.6, -4, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 488 - 23. Suppose 4*p + 5*l - 1849 = 0, -5*l + x = p - l. What are the prime factors of p?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155\/2 - 80. Let z = -28897\/13770 - 2\/1377. Let s = g - z. Which is the closest to -0.2? (a) 2\/9 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -961 - 5098 = -219*d - 1022 for d.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23 + 32*r - 3 + 0 + 2*r**2 + 10 with respect to r.\nAnswer: 4*r + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -3 (b) 3 (c) 3\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppgggpgggg. What is prob of sequence pgg?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 1)*(-3*m - m + 6*m)*(2 + 1 + 0)*(1 - 3 + 0)*(-5 + 2 + 5).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 21 = 7*h + h. Factor 16*a + 1\/4*a**5 - 7\/2*a**4 + 0 + 28*a**2 + 33\/4*a**h.\nAnswer: a*(a - 8)**2*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 157769*i**3 + 70*i**2 + 395.\nAnswer: 946614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1987969?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 2*o - 41, -3*o + 20 + 1 = s. Suppose 3*w - 285 = -2*w. What is the remainder when w is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53504?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 - -2 - (-6 + 1)) - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -31 + (-1 - 2) + (4 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187*d*l**3*p + 2*d*l**2*p**2 + d*l*p - 2*d - 6840*l**3*p**2 + 119*l**2 wrt p.\nAnswer: 4*d*l**2 - 13680*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82474126 and 154?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, -2, 0 in descending order.\nAnswer: 10, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -108 + 101 - (-10 - (0 + 0))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5220473 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -217cf (base 16) to base 3.\nAnswer: -20222011021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1210872 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -10. Let x be (-6)\/24 + 22\/(-8). Let j = c + x. Solve 5*r = q + j, -q + 2*r - 2 = 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -3\/5, 0.059, -2\/5 in decreasing order.\nAnswer: 0.1, 0.059, -2\/5, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 79\nAnswer: -17\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*w - 280 = -135 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 974 + 50 = 0. Suppose -11*o + 14*o = 63. What is the highest common factor of u and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 120*k - 232.\nAnswer: -2*(k + 2)*(k + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 - (48 - -13) - 14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 7:03 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/9 - (-28)\/(-6). Let k = 9 + q. Solve 4*m = -4*c - 0*c + 4, 0 = -2*c + m + k for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -16344 (b) 0.3 (c) 2\/15 (d) -0.02 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*p + 8*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*c - 162 + 72 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -5*t**3\/3 - 2*t**2 - 6*t - 2. Let q(y) = -4*y**2 + 1 + 5*y + 10*y**2 + 6. Let v = 2481 - 2474. What is v*x(k) + 6*q(k)?\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -6. Let c be 149\/3 + 2\/s. Suppose -o + 12 + c = 4*w, 0 = -w + 3*o + 22. Calculate the greatest common factor of 176 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:14 AM?\nAnswer: 11:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/3, 1\/7, 10, -2\/13, 4\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 9}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 191, 193, 195, 197, 199, 201?\n\"Answer: 2*b + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b**3 + 8*b + 29. Let l(q) = 4*q**3 + 3*q + 10. Suppose -5*p = m + 38, 39*m + 20 = -2*p + 41*m. What is p*l(o) + 3*k(o)?\nAnswer: o**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 17*l + 1. Let o be ((-48)\/(-20))\/(6\/15). Is h(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-16 + -7 + 8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 366000 and 155184.\nAnswer: 2928","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-99)\/(-5))\/((-8)\/(-170)). Let d = s - 441. Let b = 4\/55 + 7\/110. Find the common denominator of b and d.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24403014?\nAnswer: 2, 3, 31, 101, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 8 + 0 - -7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/138 + 25\/138. Let p = t - 277\/322. Find the common denominator of -77\/18 and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6. Let r = 13.7 - -0.3. Let q = r + -10. Which is the third smallest value? (a) q (b) -1\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4121 + -4116. Let s(o) = 6*o - 15. What is s(d)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (-3 + sqrt(245) + -5)**2) + (sqrt(320) - sqrt(5))*-3 + 0.\nAnswer: -309 + 98*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b + 2. Let f be z(2). Suppose -4*c + 8 = f*s - s, 4*c = -5*s + 8. Suppose t - 5 = 0, -2 = c*o - 2*t - 8. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4258 - -4310. Are -34 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 9 - 14) + -10 + (19 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 2)*(-5 - -8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 - 114.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) -0.3 (c) 4\/5 (d) 3\/77 (e) -1\/394\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z - 8. Suppose -5*v + z*s = -20, -v + 0*v - 5*s = -4. Let m be 1 + v + (5 - 5). Solve -4 + 14 = m*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-336)\/(-160))*(-6)\/70.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1, 0.2, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 49*a - 246. Let c be f(5). What is the biggest value in 5\/3, c, -2\/13?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 11645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4a + 3f192?\nAnswer: 3f148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + s + 3*s = 0, h + 5*s = 30. Let n(x) = -22 + h*x + 15 + 7. Let m(w) = 3*w. Determine m(n(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from illiiiillilll. What is prob of picking 2 l?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*m + 1017 = -27, 2*d - 519 = m. Calculate the highest common divisor of 52 and d.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*f + f = -42, 6 = 3*f. Calculate the remainder when 3087 is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 798 by -9.\nAnswer: -266\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 153\/2, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19480 and 520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1\/20)\/(15\/(-60)))\/(3\/(-40)).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/(-304)*(-803)\/(-1022)*(-21)\/77?\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, 0.3, -3.8, 15, -44?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4818550.\nAnswer: 2, 5, 11, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 8*v**3 + 8*v**2 - 8*v - 4. Let o(h) = h**3 + h**2 - h. Let m(u) = -4*o(u) + y(u). Factor m(l).\nAnswer: 4*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -126, -5 in descending order.\nAnswer: -5, -8, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12516 - 4?\nAnswer: -12523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f*r**2*v**3 + 2*f*r**2*v**2 + 327*f*v**3 + 16*f*v - 2*v**2 wrt v?\nAnswer: -12*f*r**2 + 1962*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1772480575 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21734 - 23033. Is n > -1291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:56 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 841 is divided by 45.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -151*b**2*u - 16*b**2 + 135*b - 30*u wrt b?\nAnswer: -302*u - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.5. Let a = -0.07 - -1.07. Let m = 6 - 3. Sort m, g, a in descending order.\nAnswer: m, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1312 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 795.852 millilitres to litres.\nAnswer: 0.795852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5135807 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 11*t = 202, -t + 62 = -5*i + 4*t + 88 + 44 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhmh when four letters picked without replacement from mmhmmmmmmmmmmmhmmmmm?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let m(j) = 36*j - 1. What is the common denominator of 64\/9 and m(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3980460 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - -2)\/((-5)\/(-35)). Let j(n) be the second derivative of 7*n**3\/3 + 7*n**2 - 39*n. What is the tens digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*18.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3*d + 2*d + 2*d)*(14*d - 20 + 20)*(-1 + 2 - 3).\nAnswer: -28*d**2 - 28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 4)*((-2 - 2*k + 2)*(1 + 2 - 1) - 6*k + 2*k + 3*k) + (2*k - 6*k + k)*(-5 + 3 + 0).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 288618700 to the nearest integer?\nAnswer: 16989","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.156 + 0.074. Round k to 1 decimal place.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -36478363*p**3 + 407*p**2 - 24477*p wrt p?\nAnswer: -218870178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 - 0.1. Let q(j) = j**3 - 5*j**2 + 4*j - 3. Let o be q(4). Let a = -4.48 - 0.52. What is the nearest to f in o, -4, a?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3555 - -3114. Are k and -1322\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-56 - -117) + -33.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1413 - 1408. Suppose -4*v = -5*v + 20. Calculate the highest common divisor of v and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 478041 and 922.7?\nAnswer: 477118.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*f**2 + 5*f**2 - f**2)*(0 + 0 - f)*(-12 - 14 + 4) to c*f**3 + k*f + s + y*f**2 and give c.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**4\/4 - 4*k**3 - 15*k**2\/2 + 12*k - 1. Let r(x) = x + 47. Let s be r(-33). Is c(s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + 0 + sqrt(11) + -3 + -5)*4 + 5.\nAnswer: -48*sqrt(11) + 197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 236879671 from 2.917.\nAnswer: -236879668.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + -38787?\nAnswer: -38834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 12058.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3)*(-58059)\/(-6). Let b(f) = f**2 - 6450*f + 5*f**3 + n*f - 4*f**3. Let h(k) = -7*k**3 - 5*k**2 - 5*k + 2. Determine 5*b(p) + h(p).\nAnswer: -2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6896717465 to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000470048644 to seven decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47214, 100119, 153024?\nAnswer: 205929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*l - 143 = 0, 2*l + 9 = 1. Suppose 4*b + y = -c, 5*b + 26 = c - 19. Let q = 19 + b. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + t + 14. Let b be o(0). Let x be 13\/12*3 - (-10)\/(-40). Solve x*j + b - 8 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601068156?\nAnswer: 2, 3, 13, 853, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-12)\/(-51)) - (-7 - -3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 375799 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -v + 2*v + 2*v + (5 - 2 - 1)*(-3*v + 5*v - v) - v - 1 + 1 as m*v + w and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2141557981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -312.5 + 312. Let z = -1\/12 - 5\/12. Which is the nearest to z? (a) t (b) 0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 3915 = -5*o, 4*o - 2617 - 1295 = -5*d. What is the greatest common divisor of 520 and d?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2498 divided by 17\nAnswer: -2498\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 5*v**2 + 4*v - 8. Let a be t(-6). Suppose 0 = a*k - n + 27, n - 4 = -1. Let p be (-2)\/k*(-4 + 1). Is p at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 3*u - 5. Let z be k(-5). Let r(g) = 0*g - 1 - g + 2*g. Let q be r(z). Solve i + 5*a + 27 = 0, -q*i + 7 = -4*a + a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v + 27 + 18*v**2 + v**2 + 25 wrt v.\nAnswer: 38*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-57)\/12)*60\/(-45).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18814510 divided by 65785?\nAnswer: -286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + v + 1602, 5 = -3*v + 14. What are the prime factors of c?\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -16*c**2 - 44*c + 12 = 0?\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x**10*x)\/x)\/x)**(-49)\/(x**(-1\/8)\/x)**(-2\/23) assuming x is positive.\nAnswer: x**(-49597\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 2 - (210 + -210)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12812 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.13866 to one decimal place.\nAnswer: -82.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 243605 divided by -2.\nAnswer: -243605\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182961 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1789056 * -0.4\nAnswer: -715622.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.94 - 16. Let f = 0.06 + l. Which is the closest to 1? (a) -3\/4 (b) f (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2688) - sqrt(2688)*-2 - sqrt(42))\/(sqrt(60)\/(-1*sqrt(10))).\nAnswer: -23*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -1 + 2. Let p(k) = 239*k. Let i be p(f). Suppose 81 = -2*l + i. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 22\/27, -3\/5, -2, -1, -79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = q. Let d be (q + -2)*-1 - 5. Is (-2)\/(-4)*d*-19 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 321 + -322.97. Let o = u + 1.97. Which is the closest to 0.36? (a) -3\/7 (b) o (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 9:22 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405) + (sqrt(5) - (3*sqrt(5)*-2 + sqrt(5))))*-2.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**2 - 50*s - 62. Give l(-20).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 9*j**2 + 8*j - 4. Let s(h) = 1. Let t(o) = -n(o) - 2*s(o). Let a be t(8). Solve 0 = 2*y - a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -138972 > -672?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -138 - -964\/7. Let n = 21 + -21. Is h less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-108468)\/(-21091))\/((-2)\/14).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of -d**2\/2 - 3. Let o(a) = -7*a**2. What is g(o(k))?\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -21, -24, -15, 12, 63, 144, 261?\n\"Answer: d**3 - 10*d - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11106*u**2 + 69*u + 69. List the prime factors of z(-1).\nAnswer: 2, 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 3.8. Let h = c + -1. Suppose -5*i - 8 = -33, -3*g + 5 = -2*i. Put h, 1\/3, g in decreasing order.\nAnswer: g, h, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.68451 millennia?\nAnswer: 868.451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -87 and -0.3?\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*v - 3*n - 16 = 265*v - n, 0 = 2*v + 4*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 7. Calculate the highest common divisor of s and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**4\/8 + 7*b**3 - 18*b**2 + 132. Factor g(y).\nAnswer: -3*y*(y - 12)*(y - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*q + 656*q - 329*q.\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -442023*r + 8. What is x(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22121742, 22121767, 22121792, 22121817, 22121842?\nAnswer: 22121867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-12) - 6)*(-3 - 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 15 = l, 20*l - 24*l = z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 13) to base 8.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 962875, 962867, 962853, 962833, 962807?\nAnswer: 962775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*g = 29*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.686 and -9.\nAnswer: 15.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - -20. What is the highest common divisor of 5 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + (2 + (sqrt(180) - (sqrt(180) + 2)) + sqrt(180))**2 - (sqrt(45) + -2)*4.\nAnswer: -6*sqrt(5) + 188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) -1 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 85.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(637) - sqrt(637))*4)**2 - (((0 + sqrt(637) - sqrt(637)) + 2 - sqrt(637))**2 - sqrt(637)).\nAnswer: -625 + 35*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121746035?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -901672, -1803330, -2704986, -3606640, -4508292, -5409942?\n\"Answer: c**2 - 901661*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 36*s + 1118. Let z be u(-20). What is the third smallest value in 7, 1, 0.1, z, -17?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198082815 to the nearest integer?\nAnswer: 14074","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 336\/(-48) + (-52)\/(-8)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 184*y. Let f(x) = 3*x**2 - 7*x + 14. Let i(g) = -g**2 + 3*g - 6. Let b(d) = -3*f(d) - 7*i(d). What is t(b(w))?\nAnswer: -368*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*c - 13*c + 0*c + 9*c to the form r + z*c and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43 and 24295?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-20)\/(-5)))\/(12\/(-120)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l*s**3 - 281*l*s - l - 109*s**4 wrt s?\nAnswer: 6*l*s - 1308*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(4\/15)\/j)**(2\/13)\/((j\/(j*j**(-25)))\/j)**49 assuming j is positive.\nAnswer: j**(-229312\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -281*x**3 - 7*x - 8 wrt x.\nAnswer: -1686*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60238 (base 10) to base 14.\nAnswer: 17d4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 56 (b) 0 (c) -4\/9737\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 w when four letters picked without replacement from gggowgoooo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -10589.05935149 and 0.1?\nAnswer: 10589.15935149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4524 and 680784.\nAnswer: 19742736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*k = 42763 + 13847. Is k a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -137*b + 140*b. List the prime factors of b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*k - y, 66*y - 18 = 3*k + 4*k - 5*k + 67*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 978389, 978392, 978395?\n\"Answer: 3*z + 978386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -570, -635, -708, -795, -902, -1035, -1200?\nAnswer: -1403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 22. Let d(o) = -3*o + 0*o + 4 + o**3 + o**2 - n. Let t be d(6). Calculate the highest common divisor of t and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178)*1)\/sqrt(9).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*h**2 + 80012*c**2 - 8*c*h**2 - c*h - 93*c + 41*h**2 + 2 wrt c.\nAnswer: -4*h**2 + 160024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5*i - 3*g + 13, -g + 1 = -2*i. What is the nearest to -1 in -2\/13, i, -2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 2. Let i(h) = h + 16. Let z be i(-11). Let j = -5 + z. Is b at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4889.358t?\nAnswer: 4889358000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(3 - 4)*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.005923 rounded to two dps?\nAnswer: -12.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284*o + 288*o - 456 = 0. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1)\/g)**(-15\/4) assuming g is positive.\nAnswer: g**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49158.98 meters to nanometers.\nAnswer: 49158980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 3*q - 5*q + (-2 - 4 + 5)*(-4*q + 4*q + 2*q) - 5*q + 3*q - 2*q)*((-3 + 3 - q)*(2 + 0 + 1 + (3 - 3 + 1)*(-1 + 3 - 3) - 1 - 2 - 2) + 5*q - q - 5*q).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6420 and 6519724.\nAnswer: 97795860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 9*j + 57, 22*j - 26*j = k + 23 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -5 + 0*o**2 - 2\/5*o + 2\/15*o**3. Determine v so that z(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*a - x + 6, -4*x - 4 = 2*a. Let r be (-6)\/9*(-9)\/a + 3. Solve 5*t + 10 = -r*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18738 divided by -27\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 4219.\nAnswer: 12657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.9 + 36.6. Let q = -25 + b. Let o = 12 - q. What is o rounded to 1 dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -58. Solve 2 + w = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 - 4132041?\nAnswer: -4132011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 19395, 19563, 19719, 19863, 19995, 20115, 20223?\n\"Answer: -6*t**2 + 186*t + 19215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -43, -103, -221, -397, -631?\n\"Answer: -29*j**2 + 27*j - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*w = -29 - 5, -c - 3*w = -18. Let d be (-1 + (-4 - -1))*1. Let b = c - d. Calculate the remainder when 12 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**4 + 22*o - 22*o + (-21 + 21 + 2*o**2)*(-2*o**2 - 3 + 3).\nAnswer: 3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 1:13 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 125 and 24182\/195 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 4:57 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((1 + 2*-3*sqrt(539))*3)**2 + -2.\nAnswer: -756*sqrt(11) + 174648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 870, 909, 948, 987, 1026, 1065?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000128804763 to 6 dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3702750 to the nearest integer?\nAnswer: 1924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 139*i = 0. Let f be (2 - -1) + 0 + 0. Suppose -217 = -4*b - 0*s + s, -b - f*s + 64 = i. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2*(-60)\/12. Suppose p*h - 778 = -53. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2. Let w be 1 + (-6483)\/(-6) - (-1)\/2. Let x(j) = 23 - 1083*j + w*j + 5. Give k(x(p)).\nAnswer: 2*p**2 - 112*p + 1568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) 11 (b) -0.1 (c) 1\/4 (d) -0.09 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 2092428287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-2)*0*(-7)\/28. Which is greater: k or -5\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t**5 - 30*t**4 + 25*t**3 + 150*t**2 - 20*t - 120 = 0 for t.\nAnswer: -6, -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 49*l**3\/5 - 2032149*l**2 - 8709237*l\/5 - 1866267\/5 = 0. What is l?\nAnswer: -3\/7, 207363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 115671, 115775, 115879, 115983?\n\"Answer: 104*y + 115567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 12*u - 36. Let o be z(3). Suppose o*j + j = 324. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/56)\/((-1)\/(-12)). Which is greater: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 2. Let p be 17\/(-204)*3\/2. Which is the second biggest value? (a) d (b) p (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(15\/6 + -3). Suppose c = -4*q + 2*q. Let w(y) = -4 + q + 2*y - 3*y + 3. Calculate w(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**3 + 0*c**2 + 0*c**2)*(-2 - c**2 + 2) + 3*c**5 - 5*c**5 + 0*c**4 - 4*c**4 - 52 + 52 + c**5 - 31*c**3.\nAnswer: -11*c**5 - 4*c**4 - 31*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -5\/3, 0, 4\/3, -0.034?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8078310 rounded to the nearest one hundred thousand?\nAnswer: -8100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**2 + 13*j + 44. Let v be n(12). Let x be (-6)\/(-4)*v\/33. Suppose 7 - 2 = 5*u. Sort u, 4, x in decreasing order.\nAnswer: 4, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - w - 3)*(-1 + 3 - 1)*(2830*w**2 - 302*w**4 - 2830*w**2).\nAnswer: 302*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -44258 * 3\nAnswer: -132774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 - 13 = 20*z. Suppose z*f = 4, -7*c = -3*c + 5*f - 297. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + s + 10 = 0, 0 = 4*l - 11*s + 16*s - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1347\/4 - -337. Which is the closest to 1\/4? (a) -0.1 (b) w (c) -14\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-1)*g*(g*(((((g\/g**(-1\/4))\/g)\/g)\/g)\/g)\/g)\/g*g*g**(-1\/6)*g*(((g*g**10)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(73\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/(s*s*s**(2\/7))))**(-13))**(-8\/3)*(s*s**(-3)\/s*s*s**(-4))\/((s*s**(-2\/3)*s*s)\/s*s*s*s**(-7)*s) assuming s is positive.\nAnswer: s**(1594\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-44)*14 + 1 + -4.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -12*v - 4*x - 12, 3*v = 3*x - 33. Which is smaller: -83\/9 or v?\nAnswer: -83\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5 = -2*h, 28*h + 1455 - 1305 = 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 11120 divide 662296080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/189812?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 160 = -5*m + 27*k, 0 = 13*m - 2*k - 341. Put -2, m, 3 in increasing order.\nAnswer: -2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*4*-5*-4*-5*sqrt(1539)*3.\nAnswer: -43200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - (-930)\/190) + 88053\/(-114). Which is greater: u or -774?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-135)\/10)\/(-9)*618\/9. Suppose -106*u = -y*u - 402. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 130980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6))**(5\/8)\/(u**(4\/11)*u\/(u*(u\/(((u*u**(-21)\/u)\/u)\/u))\/u)) assuming u is positive.\nAnswer: u**(831\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6535 (base 11) to base 6.\nAnswer: -103541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2 - 28*s - 130. Calculate w(-6).\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1135373257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 587455 is divided by 1978?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 6. Let h be y(10). Suppose p = 3 + 1. Solve -4*o + 8 = p*v, 2*v + 1 = h*v - o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12006283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2*a. Suppose -16 = 3*h - 7, 5*h = 3*p - 30. Put a, -2, p in increasing order.\nAnswer: -2, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2767\/44272*(-16)\/(-6)*(-2)\/(280\/6).\nAnswer: -1\/140","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6) + ((-4)\/24 - 133\/210).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21976 and 36.\nAnswer: 197784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9 + -10 + 73\/1. Suppose 4*r + o = 97, 0 = -2*r + 4*o + 22 + 40. Suppose 73 = d + r. What is the greatest common factor of d and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -97\/79 + 1807\/1343. What is the closest to -1\/3 in -16, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -0.202 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3279*z - z**2 + 21*z**3 - 3279*z - 22*z**3.\nAnswer: -z**3 - z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - m = -5*d + 30, -m + 13 = 2*d. Let q be (-9)\/12 + (-40)\/32 - -2. Suppose 72 = d*p - q*p. Is 7 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 3 - (-76)\/(-228))\/(2\/(-15)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 - 54. Let s(h) = h**2. Give s(c(f)).\nAnswer: 9*f**4 - 324*f**2 + 2916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.602ml in litres?\nAnswer: 0.728602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + 4*c. Calculate s(-4).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 2 + (-3 - (-4 - -4))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4373150 or -4373037?\nAnswer: -4373150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -7*g**2. Let q(x) = -2*x + 1421111. Give q(o(a)).\nAnswer: 14*a**2 + 1421111","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 23*i**2 - 27*i + 52. Let t(s) = 15*s**2 - 17*s + 35. Calculate -8*t(q) + 5*z(q).\nAnswer: -5*q**2 + q - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1031310 (base 5) to base 14.\nAnswer: -6649","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -86*u - 117. List the prime factors of o(-8).\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 258679969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9305.9980775 - -9306. What is i rounded to 5 decimal places?\nAnswer: 0.00192","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 916*p**2 - 916*p**2 + 72*p**3 + 10.\nAnswer: 72*p**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvv when three letters picked without replacement from {v: 2, k: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24*(-18)\/(-192))\/((-345)\/160*-4).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 5*f**2 + f - 3. Let r(o) = -6*o + 1. Let m(h) = -11*h + 1. Let u(k) = 4*m(k) - 7*r(k). Let n be (-1 - -2 - 3 - 6)\/2. Let x be u(n). Give w(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 1668 + i - 1668. Let j be m(4). Suppose -4*b - 5*o = -j, -2*b - 3*o + 18 = 3*b. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*p + 36. Suppose -p*f = 5*s - 3*f - 8, -3*f - 32 = -5*s. Suppose 5*r - s*r = 2. Solve -5 = g - r*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + 3\/3*-2. Suppose -6*q + 4*q = 6*n - 4, 4*q = 2*n - 6. Sort v, -3, n in increasing order.\nAnswer: -3, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let z be (60\/(-9))\/((-4)\/6). Suppose 0*t - 5*t = z. Let b(c) = c - c + 5*c - 3*c. Determine t*b(l) - 6*a(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - a9817?\nAnswer: -a981b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*p + 96*p = 49 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327 and 42837.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7.2, -67, 6, -4, 2\/7.\nAnswer: -67, -7.2, -4, 2\/7, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 759 + -757. Suppose 2*m = 3*p, -4*p - 2*m + 17 = 3. Suppose -2*o + u = -p. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.984 - 0.016. Let w = d + 20.7. Put 1\/8, w, -5 in descending order.\nAnswer: 1\/8, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < -3\/1805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143646*m*u**2*z - u**2*z + 12*u**2 + 6306 wrt m.\nAnswer: -143646*u**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -17, -2, -4, 10 in increasing order.\nAnswer: -17, -4, -2, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**2 - w - 1. Calculate z(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, z: 2}. Give prob of sequence zz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3977762*o*p**2 - 2*o*p + 50209*o + 33*p wrt p.\nAnswer: -7955524*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58 + 63. Which is the smallest value? (a) 4 (b) 0.4 (c) -1\/3 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 233 = 4*h, g + 3*g - 4*h - 348 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*8\/48 - (-88)\/(-6). Let x = -77 + 125. Let z = g + x. List the prime factors of z.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36499 and 1919.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1314455 (base 6) to base 10\nAnswer: 72323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.87 and -0.0511?\nAnswer: -0.044457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 4*a**2 + 7*a - 6. Let o be j(-6). Let c = o + -16. Suppose -l + 13 = -c. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -4\/3*r**6 - 2\/3*r**3 + 0*r + 2\/5*r**5 - 3*r**2 + 7\/2*r**4 + 13. What is l in n(l) = 0?\nAnswer: -1, -3\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -73309, -146620, -219929, -293236, -366541, -439844?\n\"Answer: h**2 - 73314*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 10:32 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5537951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1005.7 - 1006. Put 3, i, -15 in descending order.\nAnswer: 3, i, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*s - 5*d, 0*d + 40 = -4*s + 4*d. Let y be (s + 6)*(9 - 0). What are the prime factors of 117\/12 - y\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1330 - -1335. Put b, 1, 3, 4 in descending order.\nAnswer: b, 4, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3292619\/9 + -366892. Let z = i + 1041. What is the common denominator of z and -40\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1838 and 14695729.\nAnswer: 29391458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/12)\/((-4)\/(-5) + -1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37535*d - 153446 = 4636*d + 49510 + 191832 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -77, -279, -679, -1343, -2337, -3727, -5579?\n\"Answer: -11*w**3 + 7*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 75. Let b = n + -35. Suppose 9*q = 14*q - b. Do 8 and q have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78524 and 6446?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k\/((k**(-8)*k)\/k)*k)*k)\/(k\/k**(-15)*k))\/(k**(-7\/2)\/(k**(10\/7)\/k)))**2)**(-38) assuming k is positive.\nAnswer: k**(11210\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 1125?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/7))**(-15)*o\/o**4*o**(3\/10) assuming o is positive.\nAnswer: o**(-639\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/35)\/((-2)\/(-4))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8 from 20645361.\nAnswer: 20645353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-2)*-2 + -1. Let y be a - 0 - (1 - 3). Suppose -g + 9 = i, -y*g = -i + 4*i - 20. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1026)\/18)\/((-6)\/2). Let a(l) = 2*l**2 - 16*l - 78. What is the tens digit of a(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2919.\nAnswer: 3, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43942 and 6604?\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 24*r - 1100194 = 2311386. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 329238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7*b**2 + 147*b - 14. What is a(21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, 3\/5, 6\/11?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -21*z**3 - 5*z**2 + 5*z. Let v(r) be the second derivative of r**5\/2 + r**4\/6 - r**3\/3 - 99*r + 2. Give -2*g(c) - 5*v(c).\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(-65 + 64).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**3 - w**2 - 46*w - 339. What are the prime factors of q(-12)?\nAnswer: 3, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10)**(7\/2)*d**4\/(d\/d**(-8)) assuming d is positive.\nAnswer: d**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 603 - 4635 = -4*c, 4*c + 2*w - 4040 = 0. Suppose -2*l + c + 162 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 25963713*h**2 + 56176212377385*h - 56176186413675.\nAnswer: 3*(h - 4327285)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1036, -8099, -27172, -64261, -125372, -216511, -343684?\n\"Answer: -1001*r**3 + r**2 - 59*r + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -521 (base 11) in base 7?\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**4 - 4*t**4 + 4*t**4)*(-2*t - t + t) - 2*t**2 + 2*t**2 - 3*t**5 + 11*t**5 - 9*t**5 + 7*t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 6 + 0 - 0) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -6786391?\nAnswer: 27145564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 4*p = -30, 5*s + 78 = 2*s - 12*p. Let g be 1*-7 + 0\/1. Let t = g - -4. Put t, -11, s in descending order.\nAnswer: s, t, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -1241*w + 68. Let o be a(-5). Calculate the greatest common divisor of o and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.4 and 0.0764.\nAnswer: -0.3236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 11 = -m, 0 = m - 6*m - 2*a - 11. Let j = m + 8. Suppose j + 13 = 2*w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233677 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (0 - -9) - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -r**7\/3360 - r**6\/96 - 5*r**5\/32 - 125*r**4\/96 + 13*r**3\/3 - 19. Let p(y) be the third derivative of b(y). Factor p(i).\nAnswer: -(i + 5)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 0.5, 3235 in increasing order.\nAnswer: -0.09, 0.5, 3235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 4*d**2 - 6*d - 1. Let w = 20 - 30. Let b(z) = z + 12. Let m be b(w). Let k be 2 - m*(-3)\/2. What is p(k)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -12*j**2 + 3727552*j + 2485040 = 0.\nAnswer: -2\/3, 310630","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0.1, -132, -11.3 in ascending order.\nAnswer: -132, -17, -11.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 59581.431 minutes in weeks?\nAnswer: 5.91085625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + -3 + (sqrt(11) + 1 - sqrt(11)) + -5)**2.\nAnswer: -14*sqrt(11) + 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 1, u: 2, h: 2}. What is prob of picking 1 l and 2 h?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 97*t**8\/336 + 4*t**5\/15 + t**2 - 28. What is the third derivative of a(o) wrt o?\nAnswer: 5820*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35\/78 + 2\/39. Sort -2, -4, g in ascending order.\nAnswer: -4, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:06 PM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 254382479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.7 - -35.1. Put o, -64\/9, -4, 2 in descending order.\nAnswer: 2, o, -4, -64\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1740450 to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1660 = 61*q + 271*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -643, -699, -769, -859, -975, -1123, -1309?\n\"Answer: -o**3 - o**2 - 46*o - 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5297370*c. Let l(o) = o. Give l(f(i)).\nAnswer: -5297370*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -441 (base 6) to base 4.\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = c - 720. Let j = -79 + c. Let n(z) = -8*z - 18. Is n(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2003 (base 5) in base 7?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + l - 525, -2*f + 22 = -l - 195. What are the prime factors of f?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**4\/6 + 47*m**2\/2 + 2*m. Find the first derivative of i(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6093341 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -10*b**4\/9 - 2678*b**3\/9 - 2482*b**2\/3 - 6898*b\/9 - 2120\/9 = 0.\nAnswer: -265, -1, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 12. Let d be q\/((5 + -1)\/(-4)). Sort 3, d, -4 in decreasing order.\nAnswer: 3, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**2 - 3*s**2 + 3*s**2 - 2*s**2 - 5 + 5 + (-2*s + 2*s + s)*(0*s + 2*s - 4*s) - s + s - s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a4 + -6?\nAnswer: -3aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426\/710 - 4\/10.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*l - 50, -557731*s + 4*l - 24 = -557719*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 69. Let l be (-22)\/77 - 2\/(-7). Does 23 divide u(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 2:00 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 206 + 210. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 5*q**3 - 13*q**2 + 2*q - 19*q**2 - 16*q**2 + 43*q**2 - 18*q**3. What is v(-2)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 6*p**4 + 30*p**3 + 46*p**2 - 5*p. Let d(m) = -11*m**4 - 59*m**3 - 92*m**2 + 9*m. Let c(k) = 5*d(k) + 9*o(k). Factor c(q).\nAnswer: -q**2*(q + 2)*(q + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8482, -16974, -25466?\n\"Answer: -8492*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 69314 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 114, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7118, 7120, 7122, 7124, 7126, 7128?\nAnswer: 7130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, z: 4, h: 4}. Give prob of picking 2 h.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*b + 1 - 1 - b + (0*b + 0*b + 2*b)*(-2 + 4 + 0) + 22*b + 35 - 35)*(3 + 1 - 3)*(-5*b + 0*b + 3*b).\nAnswer: -54*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2720\/(-1122) + (-320)\/352.\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 24 = 2*c - 6*c, 0 = -3*c - 2*m - 16. Is 13 at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*p - 175, -s + 223 = -2*p + 180. Solve 4*j - 12 = 4*q, -9*j - 5*q = -6*j - s for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 339791 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 35760943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 264. Let i(f) = 16*f - 530. Give 7*g(u) - 3*i(u).\nAnswer: u - 258","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 5*m - 12, 25*w + 3*m = 27*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/110 + (-14)\/(-44).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44 + -29. Let p = -14.9908 + z. What is p rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0 + 12. Let w = -4 + p. Suppose w = -8*i + 4*i. Solve i = -4*m - m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34644401*h**3 + 3516*h**2 + 8050*h?\nAnswer: 207866406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3716399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-17)\/(h\/(h\/h**(-14)*h)*h) assuming h is positive.\nAnswer: h**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 170, -0.2, 0.05, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 2547526.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21941418, 43882850, 65824282, 87765714, 109707146?\n\"Answer: 21941432*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2746155498 and 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 193*n. Let f(j) = 3*j**2. Calculate f(l(b)).\nAnswer: 111747*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a millimeter in micrometers?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 - 15 = 0. Let l = f - 28. Suppose 185 = l*s + 3*s. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 33*y**2 + y - 2*y**3 + 0 - 4 - 15*y**2 - 17*y**2. Give f(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/9*(-9)\/(-6). What is the common denominator of 3\/18*-1*121 and (232\/18)\/4 - c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42566459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1310*i**2 - 6*i + 130 wrt i?\nAnswer: 2620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.306 + -14.731. Let v = 19.6 + i. Round v to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(175)*-2 + (sqrt(700)*1)**2 + sqrt(7) + 0.\nAnswer: -9*sqrt(7) + 697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51, -106, -173, -270, -415, -626, -921, -1318?\n\"Answer: -3*m**3 + 12*m**2 - 70*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 - 24*o - 15*o + 34*o - 20*o + 2*o**2.\nAnswer: 6*o**2 - 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 430900, 429917, 428934, 427951?\n\"Answer: -983*w + 431883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 112, 1, 14, -5, -9, -1 in descending order.\nAnswer: 112, 14, 1, 0, -1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*s**2*y + 4*s**2 + 3*s*y - 4*s - 205*y + 4 wrt s?\nAnswer: 20*s*y + 8*s + 3*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(2*(sqrt(448) + (sqrt(448) - (sqrt(448) + sqrt(448) + 0 + sqrt(448)))) - (sqrt(28)*2 + -1*sqrt(7)*2)))**2.\nAnswer: 20412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 464888640 to the nearest 1000000.\nAnswer: 465000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3033608 or 0?\nAnswer: -3033608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t**3 + 4*t**2 - 2. Let s(j) = -6*j**3 - 5*j**2 + 3. Suppose 35 = -4*w - 3*u, -2*u = w + 3 + 12. Calculate w*m(l) - 4*s(l).\nAnswer: -l**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4920422 and 123578?\nAnswer: 2522","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**0\/z)*z)**(-18)*z**(3\/2)*z*z**(1\/7)\/z assuming z is positive.\nAnswer: z**(-733\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -509\/7140 + -1\/140. Find the common denominator of a and -49\/3.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -1. Let y(t) = -t + 14. Let a(q) = 3*i(q) + y(q). Let h be a(7). Solve -h*s - 5 - 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15795025913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 4)*(8*g**2 - 8*g**2 + 3*g**3 - 3).\nAnswer: -3*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 32. Suppose -2*w = -2*x + 30, 23*x - 28*x = -w - 39. Calculate z(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 - 1)*(16*x - 22*x + 45*x)*(2 - 3 - 4 + (-1 + 2 - 2)*(0 + 0 + 1)) to the form r*x + u and give r.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 55649985 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/31, 9\/1042, -0.57?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 9*d**2 - 13*d + 19. Let j be w(-6). Let h = 19 - j. Let c(k) = k**2 + 5*k + 9. Let t be c(-9). What is the highest common factor of h and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**3 + w**2 + 3*w - 4. Let o(z) be the third derivative of -7*z**6\/120 + z**5\/60 + z**4\/6 - 5*z**3\/6 + 4*z**2. Give -4*o(i) + 5*s(i).\nAnswer: -2*i**3 + i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**5\/20 - 7*q**4\/24 + 11*q**3\/6 - 4*q**2. Is w(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 4 (b) -4 (c) -463\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 15*z - 14*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 144\/120*((-500)\/(-45))\/20.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 821515*u**6 + 2632*u**2 + u - 41.\nAnswer: 98581800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/((g**(-9)\/g)\/g*g))\/g)\/(g*g**5)*(g*g\/((g*g*g*g*g\/(g*g\/(((g\/((g\/g**(-6))\/g))\/g*g)\/g))*g)\/g)*g)**(1\/51) assuming g is positive.\nAnswer: g**(87\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**7\/126 + q**6\/18 + q**5\/60 - 13*q**4\/36 - q**3\/9 + 4*q**2\/3 - 2*q - 26. Let s(u) = 0. Calculate u.\nAnswer: -4, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.8973 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16075465\/46602282 + -2\/180629. What is the common denominator of n and 79\/172?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 11*f = 40. Solve -3*m - j = -f*m + 16, -4*j + 12 = -m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of 8 - 25 - 20*p + 31*p**2 - 15*p. What is the first derivative of u(w) wrt w?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46429135?\nAnswer: 5, 1009, 9203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*b = 76, -4*b = -5*x + 183 - 59. Let v be (-2 + 3)\/(7\/x). Suppose -7985 = -v*q - q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -9. Suppose 3 = r*u - 24. Solve -m = -3*v - u + 2, 15 = -3*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*0\/40?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of -g**7\/2940 + 5*g**3\/3 + 5. Let l(u) be the third derivative of b(u). Factor l(n).\nAnswer: -2*n**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q = 28*q - 18291. Let d = -1875\/4 + q. What is the second smallest value in d, 16, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 9405*b**2 + 4085900*b.\nAnswer: -5*b*(b - 2245)*(b + 364)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from gfbbzgqz?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 564 and 126.\nAnswer: 11844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -18. Let p = -24.78 + 25. Let j = -0.28 - p. Which is the third biggest value? (a) i (b) 1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 290\/56 - 54470\/305032?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -2, -7, -3, -8, 2, 72.\nAnswer: -10, -8, -7, -3, -2, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 26.78 + -27. Let r = x - -0.22009. Round r to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -6559*n**2 + 5*n - 8200. Let w(c) = 3279*c**2 - 2*c + 4090. Let h(i) = 2*l(i) + 5*w(i). What is the derivative of h(b) wrt b?\nAnswer: 6554*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4956503km in centimeters?\nAnswer: 49565.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*h*o**3 + 11*h*o + 363*h wrt o?\nAnswer: -42*h*o**2 + 11*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-50)\/900*15)\/(-10).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -u**3\/3 - 2. Let h(f) = 26*f - 49. Let y be h(3). Let t(o) = 11*o - 12*o - y*o. What is t(x(m))?\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36800596 divided by 2?\nAnswer: -18400298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*(sqrt(17) + 0)**2*4 - sqrt(51)\/(sqrt(144)\/sqrt(3) - sqrt(3))).\nAnswer: 4*sqrt(17)\/3 + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5139, 10276, 15413, 20550, 25687?\nAnswer: 30824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*k - 106*k = -215*k + 16416. Is 8 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 645 and 1632255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 5*p**2 - p - 4. Let r be b(4). Let a(c) be the third derivative of c**5\/60 - 7*c**4\/24 - 7*c**3\/6 - 302*c**2. Determine a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*r - 176*r + 88*r.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x + 422*x**3 + 463*x**2 + 460*x**2 + 2688 - 1852*x**2 + 467*x**2 + 461*x**2 wrt x.\nAnswer: 2532","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 70 + 38 = 0. Suppose 12 = 3*o, 15 + 8 = u + 5*o. Suppose 4*n = -u*v + i, -n + 60 = -v + 6*v. What is the highest common divisor of 108 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 220 + 11*m - 220 in the form c + r*m and give r.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + a + 2 - 4 - 7*a**2)*(0*a + a + 0*a).\nAnswer: -7*a**3 + a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217396293 to the nearest integer?\nAnswer: 14744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.12 (b) 1 (c) 3 (d) 36 (e) -47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/21 - 5)*4\/((-16)\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136 a factor of 105421624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72483427?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -99*o**7\/70 - o**4\/4 + 4*o**3\/3 + 195*o**2. What is the second derivative of g(a) wrt a?\nAnswer: -3564*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -8*h**2 + 1621*h + 597. Calculate z(203).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -5*x. Let s be i(1). Let g(q) = -q + 6. Let d(r) = -3*r + 15. Let p(w) = s*d(w) + 12*g(w). Find the first derivative of p(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -103 + 105. Let v(m) = -m**3 + m**2 + 1. Let p(i) = 26*i**3 + 3*i**2 - 2. Let s(t) = q*v(t) + p(t). What is the third derivative of s(d) wrt d?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 3*w - 1. Let n(i) = -34*i**3 - 6*i**2 - 15*i - 5. What is 5*a(x) - n(x)?\nAnswer: 34*x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from ooooooooooojodo.\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - ((-5959)\/1912 - -6). Let w = n - -2\/239. Which is the biggest value? (a) 3 (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*s + 15 = 0, -15 = 2*s + 3*s. Suppose 3*q - 8 - 4 = n, 5*q = -3*l + 38. What is the greatest common divisor of l and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2 + sqrt(448) + -5 + (sqrt(70)*-2*-1)\/(sqrt(180)\/sqrt(2)))**2.\nAnswer: 4732\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11587 - -11587.39. What is the closest to 1 in 0.4, -5, x, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 3080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4*i - 3*i - 1)*((2*i + 0*i - 3*i)*(-1 - 6 + 5) + 3*i - 6*i + 2*i + 4*i + 2*i - 3*i) in the form w + z*i**2 + c*i and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -20, 23\/6, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14676 and 624953?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4323463567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + c + 1. Determine r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -923*g + 25214 - 25214 + (0 - 2 + 3)*(0*g - 2*g + 3*g).\nAnswer: -922*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 + 7. Let r = 2.383 + -0.293. Let o = r + -1.69. Which is the nearest to 0.1? (a) o (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221569, 220737, 219895, 219037, 218157, 217249?\nAnswer: 216307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n**3 + 6*n**2 + 2*n - 2. Determine m(-2).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/1242122 and 97\/10?\nAnswer: 6210610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18 - 152\/(-36). Suppose -3*c = -k*c. Suppose -4*h + 48 = g, -5*h - g + 48 + 11 = c. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34206, -34019, -33832, -33645, -33458?\nAnswer: -33271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.7379 decades in years?\nAnswer: 4277.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(-12)\/(-8) + (4 - 8). Let z be v + 1\/(2\/(-10)). Suppose 2*l + 5*f - 16 = -2*l, -4*f + 29 = 5*l. Calculate the greatest common factor of l and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 39468499.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 197. Let z(q) be the second derivative of -q**3\/3 + 946*q. Give h(z(w)).\nAnswer: 2*w + 197","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 21\/5 of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 6, r: 3, a: 4, q: 3}. Give prob of sequence rk.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40*(-36)\/(-54720))\/(16\/(-24)).\nAnswer: -3\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - h + 0*h)*(-30496*h + 19058*h + 17819*h + 2 - 2 - 2*h + (h + 0*h + h)*(-3 + 3 + 2)) to j + a*h + i*h**2 and give i.\nAnswer: 19149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 21. Put 3, 0, o, 21 in ascending order.\nAnswer: o, 0, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**2\/21 - 4096*d\/21 + 2097152\/21 = 0.\nAnswer: 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/10*(-890)\/(-2136).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 - -60. What is the greatest common divisor of 16 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4443 - 1?\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7950493us to seconds.\nAnswer: 0.0000007950493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 16 = u. Let b(f) = 6*f - 53. Let w be b(6). Let x = u - w. Let m(d) = -d**2 - d + 1. Let z(a) = -3*a**2 - 2*a + 3. Determine x*z(v) - 4*m(v).\nAnswer: v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3.07 (b) -2\/57 (c) -0.2 (d) 4\/11 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*a + 8 = -39*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 16 + 3 - (45 - (93 - 66)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(-15))\/((-1)\/3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -10*6*10\/(-25). Suppose 4*g + 4*p - w = -g, 4*p = -16. Solve g*x - 3*x = 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = -223 - 473. Let s = 64 + f. Calculate the least common multiple of s and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 29794.61 hours?\nAnswer: 1787676.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/11 - 10*o\/11 + 8\/11.\nAnswer: 2*(o - 4)*(o - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/3 - -250 - -1. Let h = -143 + q. Let j = h + -75. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -5*q**3 - 44*q**2 + 41*q + 625. What is f(-7)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/4 + (-4)\/(-2). Let i(y) = 24*y - 118. Let d be i(5). Factor -1\/4*x**d - f + 3\/4*x.\nAnswer: -(x - 2)*(x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63079065?\nAnswer: 3, 5, 7, 43, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least -242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -1.2 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1439 + -901. Let s = -534 + g. Let j(b) = -b. Let y(z) = 1. Calculate s*y(h) + j(h).\nAnswer: -h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 - 11*r - 50. Let h(y) = -15*y**2 + 34*y + 150. Let z(u) = 4*h(u) + 11*t(u). Factor z(f).\nAnswer: -5*(f - 5)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3755, 3742, 3717, 3680?\nAnswer: 3631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57 + 22*k + 3415*k**2 - 10223*k**2 + 18 wrt k.\nAnswer: -13616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14061 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 - 0 - 7 - (-5 + 2). Suppose 5*p - 6 = x*p. Suppose -2*f - p + 6 = 0, 3*g = 4*f + 52. Calculate the highest common divisor of g and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.097 (b) 5 (c) -69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3020551 is divided by 503388?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqd when three letters picked without replacement from {d: 3, k: 3, q: 2, i: 3, a: 1, u: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/240 and 53\/8.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -1 + (13 - 9) + 1 + 37.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28937, 28949, 28963, 28979?\nAnswer: 28997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + 64?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133)*1 + sqrt(133))*3 - sqrt(133))\/(3*sqrt(7)*-1).\nAnswer: -5*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/((-4)\/462 + 0). Suppose -r - n = -2*r. Suppose 3*o + c - 231 = 0, o = -2*o + c + r. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxvxxxxxxxxvvxx. What is prob of sequence xv?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 = -n + 14, -2*t + 4 = n. Let b be (-15)\/16445*-3116 - t. Let i = 1\/253 + b. Put -1, 4, i in increasing order.\nAnswer: -1, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455794.2 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 10*t**4\/3 - t**3 - 2*t**2 + 2*t - 2. Let n(o) be the first derivative of h(o). Factor n(w).\nAnswer: 2*(4*w + 1)*(5*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -18 + (-2 - 7) - 30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 500533*l. Let b(m) = 18*m. Determine b(z(n)).\nAnswer: 9009594*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k - 3*k + 4*k. Let p(f) = 3*f - 2*f - 7*f + 2*f. Determine l(p(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/6646 and 29\/18.\nAnswer: 59814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*m**5 + 54*m**4 + 806*m wrt m.\nAnswer: -80*m**3 + 648*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + v**3 - 3*v**3)*(42*v + 20*v + 56*v).\nAnswer: -236*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 6:11 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14438*k**3*q**2 + 55*k**2*q**2 - 3*k*q**2 wrt k?\nAnswer: -86628*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 148, -225\/8, 0, 0.5 in ascending order.\nAnswer: -225\/8, -2, 0, 0.5, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 7*p**2 - 7*p - 9. Let o be (-29)\/4 + (-1)\/(-4). Let t(k) = -7*k**2 + 8*k**2 - 4*k - 2*k**3 - 5 - 4*k**2 - k**2. Calculate o*t(x) + 4*i(x).\nAnswer: 2*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -27, -59, -127, -243, -419, -667, -999?\n\"Answer: -2*t**3 + 6*t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -1\/11*c**3 - 69*c**2 + 1\/132*c**4 + 0 - 1\/660*c**6 + 1\/110*c**5 + 0*c. What is u in b(u) = 0?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 16 = -4*p, -2*p + p = -1. Let w be (-1 + t\/(-7))*1. Suppose 4*b + 3*r = 1, -5*b - 11 - 2 = -r. What is the second biggest value in b, -4, w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/(-1))\/(83\/(3818\/1794))?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 222 = 240. Suppose 0 = b*m - 2850 - 11164. Does 56 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40095 divided by 99?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-13) + -1 - ((-72615)\/(-1222) - 60)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/6*r**5 + 0 - 1\/105*r**7 + 0*r**3 + 1\/6*r**4 + 0*r + 1\/15*r**6 - 28*r**2. Factor y(n).\nAnswer: -2*n*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 44727715?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - 3*o + 2*o)*(-3 - 1 + 3) + (o + 0*o - 2*o)*(-4 + 3 + 2))*(3 - 2*o**2 - 3 + (0 - 1 - 1)*(1227*o**2 + 803*o**2 + 88*o**2)).\nAnswer: 8476*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 832651*l + 1. Give q(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17187959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from zbesooz.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12221122111 (base 3) to base 12.\nAnswer: -57934","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 204 and 5015?\nAnswer: 60180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byy when three letters picked without replacement from {y: 2, b: 7}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 927948 is divided by 78?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y**7\/147 - 2*y**6\/15 + 38*y**5\/35 - 100*y**4\/21 + 256*y**3\/21 - 128*y**2\/7 - 60*y. Factor o(c).\nAnswer: 2*(c - 4)**2*(c - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -x - 3*m - 13, -m + 10 = -x. Is -8 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(96\/(-42)))\/((-2)\/(-4)). Let z = 10 + -32. Let x = d - z. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -1. Let h = p - -4. Let c = -2.5 - -2. What is the third biggest value in c, h, 3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42706.2221 - 42701. What is r rounded to 1 decimal place?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11073.439786 - -5?\nAnswer: 11078.439786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16a051 (base 15) to base 12.\nAnswer: 44a987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1032)\/430*(-2730)\/104?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, d: 12, z: 1, o: 4}. Give prob of sequence ddo.\nAnswer: 22\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*c = -27*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 2*x - 4. Let k(z) be the first derivative of -z**3\/3 - z - 22. What is g(v) - 6*k(v)?\nAnswer: 5*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/120 + 2*z**5\/15 + z**4\/8 - 15*z**3\/2 - 67*z**2. Calculate the remainder when 72 is divided by m(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1761 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**3 + 26*s**2 + 22*s - 33. Let q(b) = b**3 - b**2 + 2. Let t(o) = j(o) + 6*q(o). Let m be t(21). Factor 1\/2*f**3 - 1\/6*f**4 + m + 0*f**2 - 2\/3*f.\nAnswer: -f*(f - 2)**2*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174*z - 35 = 179*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -827 - -1660. Is 20 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -21*k - 11. Suppose 0 = -3*z - p + 7, -2*p + 3 = 6*z - 11*z. Let v be g(z). Which is the nearest to -0.1? (a) v (b) -1\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 12) in base 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -6. Suppose g - 2*j = 4, 2*g + w*g + 5*j - 17 = 0. Let q be 9 - g - 1\/1. Sort q, -19, -1, -4.\nAnswer: -19, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nnnnninnniinnnnnnnii.\nAnswer: 21\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1466*t - 1423*t - 43 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*c**2 + 3*c**2 + 4*c**2 + 3*c**2 + c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 15 = 3. Let a(p) be the second derivative of -p**5\/20 + 5*p**4\/12 + 7*p**3\/6 - 3*p**2 + 11*p. Let r be a(w). Which is smaller: r or 6\/23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 318470496?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, r: 17}. What is prob of picking 2 r and 1 q?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64 and 664?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43 + -260. Let r = 2790 - c. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 6*l - 135. What is the smallest common multiple of (((-810)\/4)\/(-9))\/(3\/10) and l?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 230 = 5*k - 190. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36820394578 - -303?\nAnswer: 303.36820394578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1599 plus -3?\nAnswer: 1596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*f = -27 + 20, -2*v = f - 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-130)*5)\/(2\/4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1204654393?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 6. Let s be l(5). Suppose -s = -4*k + 3. Let m = -510.81 + 511. Which is bigger: m or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 106.68.\nAnswer: 32.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1841, -3668, -5495, -7322, -9149?\nAnswer: -10976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26 - -35) + (61 - -1) + 19 + -2?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 220828 or 220855?\nAnswer: 220855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-3)\/h))**(-14\/9)*h**(10\/7)*h\/((h*h**19)\/h) assuming h is positive.\nAnswer: h**(-1436\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101011101110 + -1100100101110?\nAnswer: -100010000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0247 - -0.0247. Let n = 0.67 - 0.07. Let z = -0.4 - n. What is the closest to f in z, 2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) -7\/6 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, l: 1, r: 1, p: 2, u: 1, b: 1}. What is prob of picking 1 r and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (782\/12)\/(-17) + (6 - 2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50951 - 27534. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-9))\/((-56)\/72)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/7, 4, 9, 2, -110?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -9*j**3*z**2 + 828*j*z**3 - 2*j + 3035*z**3 + 8*z wrt j?\nAnswer: -27*j**2*z**2 + 828*z**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*j + 27*j + 48. Let x(h) = h**3 + 8*h**2 + 13*h + 12. Let u be x(j). Let k = 167 + u. What is the highest common divisor of k and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + (-17 - -12) - 12) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4 - (126\/12 - 10))*-5. Solve r = -2*k - 5, -4*k - 8 = -3*k - x*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -4*s - 32, -i - 11 = -0*s + 5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -105736*h**4 + 2*h**3 - h - 10 - 22 + 105733*h**4 to q*h + f*h**3 + x + s*h**2 + b*h**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.018 in 0.5, -2, -7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((-15 - -7)\/2 - (-26)\/28)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 135 + 723. List the prime factors of q.\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39274016 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -1. Let m = -6.9 + 8.36. Let o = 0.46 - m. What is the nearest to o in 5, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67 - 32. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -u - 1, -5*v + v = -0*v for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a**2 + 5. Is c(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 + 161. Let l(n) = -4*n - 1. Suppose -5*v + 2*j - 14 = 0, 2*v = -j - 14 + 3. Let f be l(v). Calculate the greatest common divisor of f and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 70 and 2335\/33 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9754818?\nAnswer: 2, 3, 1625803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -24, -47, -80, -129, -200?\n\"Answer: -j**3 + j**2 - 19*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 568501458 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. Let f = t + 8. Suppose f*j = 3*j. Solve 4 = 2*n - 2*a, j*a + 5 = n - 2*a for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2680 + 30545. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5487 and 155.\nAnswer: 27435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + 2 + 4)*2*-3)**2.\nAnswer: 4320*sqrt(19) + 69696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Let i be (-185)\/(-10) - 6\/w. What is the greatest common factor of i and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/6, -17, 1\/2, -1, -7?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*t - t. Let l be 12\/42 + (-4)\/t. Solve -2*d = -f - 2*f + 12, l = -5*d + 4*f - 23 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 13) to base 12\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-4)*(-20)\/(-6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2719\/20 - -136. Suppose -2*q + 6 = 0, 6*a + 4*q = a + 7. Which is smaller: b or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3 and -40\/83.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Let a(s) be the first derivative of -7*s**2\/2 + 3. What is k(a(j))?\nAnswer: 7*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.04, -4.87, 24\/11, 18.4?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -7597?\nAnswer: 7592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*a + 267 - 20 = 32 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 19.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eseeseesssessseeese. Give prob of picking 3 e.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 2*b**2 + 4*b - 5. What is the remainder when 46 is divided by l(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-5 + 9 + 0 - (15 + -2))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/17 + 328*g**2.\nAnswer: 2*g**2*(g + 2788)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20819349409 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**4 + 48*f**3 - 148*f**2 + 24*f + 224 = 0.\nAnswer: -1, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*o = -27 - 89. Let k(c) be the third derivative of -2\/9*c**3 + 0*c - 1\/180*c**5 + 0 - 5*c**2 - 1\/18*c**o. Factor k(j).\nAnswer: -(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 25 = 19. Find the third derivative of -393*w**3 + 29*w**6 + 393*w**3 - d*w**2 wrt w.\nAnswer: 3480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 461 + 461. Suppose 2*q + 15 = -3*q. Let o(c) = -2*c**2. Let i(j) = q*o(j) - 5*w(j). Let d(f) = -4*f**2. Determine i(d(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/7*l**2 + 2704\/7 - 104\/7*l = 0. Calculate l.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13318*f**2 + 40*f - 61458 wrt f.\nAnswer: -26636*f + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1292303?\nAnswer: 607, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5723 a factor of 28987371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 5*p + 33*p + 60*p to o + b*p and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -21. Let q(w) = -320*w - 1. Is q(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 2:04 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in hours?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 41*x**4 - 66*x**3 - 763*x**2. Differentiate h(c) wrt c.\nAnswer: 984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5257 - 1412643.1231\nAnswer: -1407386.1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3025 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3 + -1 + -6*(sqrt(117) - (sqrt(117) + (sqrt(117) - (sqrt(117) + -1))**2)) + -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.4, 1 in descending order.\nAnswer: 5, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 108. Calculate n(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*36\/30 + -11)\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48 and 102.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.179, -3, 3, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7407, 8819, 11161, 14439, 18659, 23827?\n\"Answer: t**3 + 459*t**2 + 28*t + 6919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11046*a + 22 = -11024*a. Which is smaller: a or -24001?\nAnswer: -24001","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 758\/(-38) + (-240)\/(-12)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40586411, 40586417, 40586411, 40586387, 40586339, 40586261?\n\"Answer: -y**3 + 13*y + 40586399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -41*p**7\/14 + p**6\/10 + 5431*p**4\/12 - 359*p. Find the third derivative of z(u) wrt u.\nAnswer: -7380*u**2 + 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32730*l**2*v**2 - 4068*l*v**2 wrt l.\nAnswer: 65460*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-18) - (-19)\/6. Suppose 0 = -5*a + c*v + 171, -31 = -a - 3*v + 2*v. What is the remainder when a is divided by (-646)\/(-85) + ((-24)\/15 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*15.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*y**2 + 0*y**2 - 3*y**2)*(-2*y**3 - y + y) + (-15*y**4 - 319*y**2 + 319*y**2)*(-2*y + 4*y + 0*y))*(3 + 0 - 2).\nAnswer: -28*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78.575 + 80. Let t = r + -2.1. Round t to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.375 - -0.025. Let p = m + 0.6. Let k(s) = s**2 - 5*s - 1. Let f be k(4). Sort p, -3, f.\nAnswer: f, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 smaller than 2265?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -614071 + 614124.0042. Let l = j - 53. What is l rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 plus 2664467?\nAnswer: 2664473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -419*c**3 + 1250*c**3 - 475*c**3 - 438*c**3.\nAnswer: -82*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 13*t - 5*t + 15*t.\nAnswer: 25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2 - 28. Suppose -3*k = 4*x - z, -5*x + 15 = k + 4*k. Suppose -b = 4*p - 6584, x*p = 2*b - 12712 - 504. Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2670.\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 7*m + 30. Let o = 2 - -4. What is the third derivative of -q**6 - 3*q**2 + q**o - 3*q**m + 4*q**6 wrt q?\nAnswer: 120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1. Let o be -1 + 8\/(-60) + 4\/30. Let d(p) = 5. Let k(w) = o*d(w) - 5*y(w). Let v(x) = 2*x + 40. Determine k(v(l)).\nAnswer: -10*l - 200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -24 + 8?\nAnswer: -1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6 + 7 + 2\/1. Suppose 4*z = 5*s - s - 68, l*z = -6. Let w = s - 20. Are -11\/2 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11010975 at least as big as 11010976?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*c + 298 - 328, 0 = -2*y - 5*c + 43 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11195279 divided by -5\nAnswer: 11195279\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**8*s)\/s**(-12))\/(s\/s**5*s)**(-50) assuming s is positive.\nAnswer: s**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19718.\nAnswer: 2, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tutcuuu. Give prob of picking 3 u.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -6319*d**8\/56 + d**4\/12 + d**3\/3 - 453*d**2\/2 - 4933*d. What is the third derivative of t(l) wrt l?\nAnswer: -758280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**3 - 3*n**2 - 5*n - 3. Suppose 0 = -5*h + 3 - 33. Let w be p(h). Suppose -3*a - w = 21. Round a to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from {j: 1, a: 2, z: 1, c: 1, t: 1, u: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-3 + 5)) + -2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10139987.\nAnswer: 11, 13, 23, 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.7 (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 10 = 20*g - 21*g, 0 = -4*k + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -251, -358, -433, -464?\nAnswer: -439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 51724512?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27751*g**3 + 27573*g**3 + g**2 - 56294*g**3 - g**2.\nAnswer: -970*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 708 and 590.\nAnswer: 3540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(171) + 2 + (-2*sqrt(171) - sqrt(171))*1 - -5*(1 + (sqrt(171)*2 + -5 - sqrt(171))))**2.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 4*w**2 - 2*w + 2. Let i be (-3 - -3) + (-21)\/7. What is r(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 7 - 2. Let y(m) = m**3 - 2 - 2*m**z + 2*m**3 - 7*m + 2*m - 3*m**2. What is y(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/13? (a) -3\/4 (b) -131\/10 (c) 3\/7 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 - 208. Let v(j) = -410*j + 24. Is v(m) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -23.\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 3078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2 + 411836*q - 411838 = 0 for q.\nAnswer: -205919, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019451488 to six decimal places.\nAnswer: 0.019451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -8)\/(24\/16). Suppose -4*t = w - 54. What is the remainder when 16*(t\/8 - 1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -14. Let y be 9 + 5\/(35\/(-28)). Suppose 9*v - y*s = 13*v - 189, 137 = 3*v - s. What is the remainder when v is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -913 divided by 27\nAnswer: -913\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3761*n**5 + 3025*n**2?\nAnswer: -225660*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 261817.\nAnswer: 17, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 526\/(-6) + 2\/3. Find the common denominator of 3\/22 and 2 + (y\/8)\/1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 4*b + 3. Let w = -47 + 44. Let s be a(w). Suppose 0 = 3*z + 3*d + 2*d - 142, -5*z + 3*d + 180 = s. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -796 - -1936?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -10*w**2 + 88*w + 562. What is m(-7)?\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 41 - 161. Suppose 0*b + h = 5*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173177 is divided by 95.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 235729592?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 262 + -71. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390794 divided by 195397?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46014.973 + 45991. Let z = j + -0.027. Which is smaller: z or -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 310. Suppose -3*j + 3*h - 5*h = -y, 0 = j - 2*h - 18. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1867.259kg in tonnes?\nAnswer: 1.867259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(192))\/(-3*sqrt(600) + sqrt(600) - sqrt(600)) - (6*5*sqrt(32)*2*-3)**2.\nAnswer: -1036800 + 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 2*m**3 - 10676*m**2 + 14225746*m + 57073928 = 0?\nAnswer: -4, 2671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 20 = 0, 17*b = -a + 14*b + 60. Factor 0*k**4 - k**5 - 5*k**4 - a*k**3 + 31*k**3 + 37*k**3.\nAnswer: -k**3*(k + 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 513 and 21487\/42 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 552*n - 5934 + 7303 + 6911 = 0 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 2*b - 3. Let g be f(4). Suppose -3 = -g*a + 2*d + 24, 2*a + 5*d - 5 = 0. What is the tens digit of a*((-19)\/(-5) - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 37*x**4 + 823050*x**3 - x + 213403116 wrt x?\nAnswer: 148*x**3 + 2469150*x**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -k - 14 - 11\/10*k**2 - 1\/20*k**4 - 7\/15*k**3. What is r in w(r) = 0?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) -1\/4 (b) 0.006 (c) -0.15 (d) 1\/6 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.1 (c) 4 (d) -507.2 (e) 0.7 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1485861?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, z: 3}. What is prob of picking 1 f and 2 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, v: 2, m: 4, i: 5}. What is prob of sequence pvmp?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 39. Let z be (-3 + 52\/l - -5)\/(-1). Let t = 0.1 - 0.1. What is the nearest to t in -1, z, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6363974 and 1412631.\nAnswer: 630033426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 5*z - 496. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.2348ms in hours?\nAnswer: 0.000197843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2 + z. Let l be s(1). Suppose v = l*v - 26. Suppose -3*y = 25 - 64. Calculate the highest common divisor of v and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1095 divided by -219.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4.89 from 0.11.\nAnswer: -4.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 11*y + 24. Let m be f(-2). Factor 1\/4*u**5 + 1\/2 + 7\/2*u**3 + 4*u**m + 9\/4*u + 3\/2*u**4.\nAnswer: (u + 1)**4*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o**3 - 5*o**2 + 3*o + 5. Let w(a) = -15*a**3 - 10*a**2 + 2*a + 4. Let y(u) = 2*u**3 + u**2. Let n(z) = w(z) + 6*y(z). Give 5*n(v) - 4*r(v).\nAnswer: v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -86, -4, -2.\nAnswer: -86, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 18*u**2 - 436*u + 7664. Calculate z(22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 145, -7, 3, 1, 4 in descending order.\nAnswer: 145, 4, 3, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**2\/3 - 303904*m - 7293568\/3 = 0.\nAnswer: -455848, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 735208 and 58?\nAnswer: 735208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 8:03 PM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -16*n**2 - 6 + n + 0*n - 8*n**3 + 13*n**2 + 2*n. Let m be d(-7). Round m to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 = 41085*k - 41074*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31882.4 rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/1569 + -767\/95709. Sort t, -4\/3, 1 in increasing order.\nAnswer: -4\/3, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 5*i - 159. Let h = 967 - 596. What is the greatest common divisor of i and h?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-137)\/1918 - 195\/14. Let c(m) = 2 + 19*m**2 + m**3 - 5*m**2 - 1. Determine c(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Let m(b) = 3 - g*b + b - 9. Give m(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = w - 1, -3*a + 0*w - w - 4 = 0. Let p be ((-30)\/12)\/(a\/2). Suppose -2*l - 237 = -p*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10375, -16490, -22593, -28678, -34739, -40770?\n\"Answer: l**3 - 6122*l - 4254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -96 in 0.4, -5, 0.3, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 264 + -151. Does 12 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - x - 3. Solve -1 = x*c - 4 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -3*c**3\/7 + 4380129*c**2\/7 - 21900582*c\/7 + 17520456\/7 = 0.\nAnswer: 1, 4, 1460038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4*k = 0. Suppose -2*u + 2*l - 4*l = -18, k = 2*l - 10. Factor 0 - 2\/5*v**5 + 0*v + 2\/5*v**3 + 0*v**2 + 0*v**u.\nAnswer: -2*v**3*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 4:58 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6503\/172 - -5\/86. Let l = k - -38. Put l, 4\/3, 4 in ascending order.\nAnswer: l, 4\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and -651.\nAnswer: -656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 131*j**2 + 15*j - 17. Let u be i(5). Let c = -2346 + 668. Let b = u + c. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of 71*l**7\/21 + l**5\/5 + 479*l**3\/2 + 4442*l. Find the second derivative of p(q) wrt q.\nAnswer: 2840*q**3 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 1 + 67 - 1. Let g be (2\/(-5))\/(5\/150). Let f = g + w. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(16)\/(sqrt(18)*-1))\/((sqrt(4) + (sqrt(576) + (sqrt(576) - -1*sqrt(576)) - sqrt(576) - sqrt(576)))*-6) + -5.\nAnswer: -4 + sqrt(2)\/234","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -4, 10206, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1314 and 730.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -1) + (6 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 46*t. Let u(n) = -2209*n + 1101*n + 1108*n - 30*n**2. Determine p(u(g)).\nAnswer: -1380*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fllffrffzfffff. Give prob of picking 2 f and 1 r.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)\/((-1)\/10). Does s = -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 37. Calculate the highest common divisor of 144 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 315 + -13?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:21 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.2, -8, 16 in decreasing order.\nAnswer: 16, 4, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Let z = 40 - 30. Suppose -z*r - 48 = -18*r. What is the least common multiple of s and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*c - 10*c + 10*c - 1 + 33*c.\nAnswer: 57*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 - 0.05. Let p = -109\/3 - -1423\/39. Sort p, f, 1\/3 in descending order.\nAnswer: 1\/3, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*436.4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71528216?\nAnswer: 2, 107, 83561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6671*q + 575. Let f be l(105). Round f to the nearest 10000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h*n**2 + 232*h*n*s**2 - 2*h*n + 20*h - 7532*n**2*s**2 - 123*n**2 - 2*n - 217 wrt s?\nAnswer: 464*h*n*s - 15064*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(425)) - (3 + sqrt(425) + 0))**2.\nAnswer: 280*sqrt(17) + 6849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2498065 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -573 (base 15) to base 6\nAnswer: -5413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15281 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7762489 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -493451132 divided by -4\nAnswer: 123362783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*q + 24*q**2 - 78*q + 79*q**2 + 116*q**2 - 239*q wrt q?\nAnswer: 438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*5\/((-25)\/(-15)). Let s be l\/12 + (-35)\/(-10). What is the closest to 0 in -1\/6, -0.5, s?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2106 + 2101. Let w = 23 + -22. What is the nearest to w in q, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-1 - -5) - (-1 + -53). Suppose -q - 3 = -3*r + 73, 4*r + 4*q - 80 = 0. Calculate the highest common factor of b and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -999 by 333.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-3 - 0) + 4 + -18 + 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 4*x - 5*x)*(-2*x**2 + 4*x**2 - x**2) + (2*x**2 - 3*x**2 - 2*x**2)*(-12*x + 12*x + 8*x) to the form d*x**3 + j*x + y*x**2 + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 196438 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by -4\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/91 and 33\/627731?\nAnswer: 4394117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 289878*q**4 - 3158855*q**2 wrt q?\nAnswer: 6957072*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 329.079313046185 + -0.079315516185. Let b = j + -329. Round b to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49617 by -82.\nAnswer: -49617\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q. Let d(c) be the first derivative of -c**2\/2 - 58. Let p = -6 + 12. Let i(l) = -l**2 + 7*l - 9. Let s be i(p). Give s*f(j) - 4*d(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + -5*sqrt(76)*3 + sqrt(76) + sqrt(76) + sqrt(76) + sqrt(76))**2.\nAnswer: 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -227*x**4 + 222*x**4 - 7 + 2 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -3*l - 41. Let a be s(-12). Is -5 + (-92)\/(-20) + (-2487)\/a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 - 30*u - 35. Let j be r(0). Let l(i) = -i - 33. What is the least common multiple of 8 and l(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63157117654\/4006842396249 + -226\/38371263. Let g = 2\/2589 + q. Let s = g + 113\/484. Which is the third smallest value? (a) -5 (b) s (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1562393?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -66, -494, -1666, -3954, -7730, -13366?\nAnswer: -21234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 26236.07 meters in centimeters?\nAnswer: 2623607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10856707951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -125 + 124. Let k = -6.5532 - 0.1468. Which is the third biggest value? (a) 4\/7 (b) 5 (c) q (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y - 7. Let f(g) = g + 1. Let t(w) = 3*f(w) + q(w). Let k(u) = -u**3 - 8*u**2 - u - 6. Let b be k(-8). Let v(s) = -2. What is b*t(i) - 5*v(i)?\nAnswer: -2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3762.683 rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 36*h**2 + 36*h - 24. Give m(-37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/3, 52217, 0.2, 2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*y**5 + 702696*y**3 + 25756739*y.\nAnswer: 180*y**3 + 4216176*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 7 = -f + 3, 5*d + 25 = 2*f. Let b be (-6)\/f + 4018\/18920. Let s = b + 1\/172. What is the third smallest value in s, -5, -8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*f - 3. Let i = 1 - f. What is the smallest common multiple of (-24)\/(-16) + (-1)\/(-2) and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(357))\/sqrt(7))\/(sqrt(3)*-1*-6).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 437 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3689 and 45570?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*o - 42, -4*o + 86 = 5*n - 6*o. Suppose -5*f + 3*v = -270, 0 = f - 2*v + n - 70. Does 6 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001911 rounded to six dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dxq when three letters picked without replacement from {d: 3, j: 1, q: 6, x: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(2) - sqrt(50))**2*-4 - sqrt(20)\/(sqrt(10)*1).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 225\/812 - -1\/116. Factor -q*b**4 + 2\/7*b - 2\/7*b**3 + 2\/7*b**2 + 0.\nAnswer: -2*b*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = 2*g, -g - 19 = -2*z. Solve -f = -4 + z for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13\/45 - -2\/9. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 700 is divided by 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11133022 (base 4) to base 14.\nAnswer: 8294","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23980953793.35 - 23970978171.350185. Let q = c - 9975664. Let r = 42 + q. What is r rounded to 5 dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -68701*v**2 + 3*v. Let i(a) = 12*a. Give z(i(k)).\nAnswer: -9892944*k**2 + 36*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -61, -95, -131, -169, -209?\n\"Answer: -p**2 - 29*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 248868 = 4*g, 14098 = g + r - 48128. List the prime factors of g.\nAnswer: 2, 3, 5, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8181535 a multiple of 325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d. Let w(h) = -11*h**2 + 78199*h + 7. Give x(w(c)).\nAnswer: 22*c**2 - 156398*c - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 359326 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -869*i + 105152. What is b(121)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*p = -87*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a**3 + 43*a**2 - 6. Let y(n) = -2*n**3 + 2*n**2 - 1. Let v(h) = 2*w(h) - 14*y(h). What is the third derivative of v(b) wrt b?\nAnswer: 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -409, -390, -359, -316, -261, -194, -115?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6722? (a) -17\/5 (b) -8 (c) 4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.04 - 0.04. Let l = 0.95 - 0.54. Let m = -0.01 + l. What is the closest to -2 in k, -2\/5, m?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06358 and -4?\nAnswer: 0.25432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, -734, -2768, -6738, -13292, -23078?\n\"Answer: -108*a**3 + 4*a**2 - 2*a + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 80888 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3563 - 7134 + 3571 - 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20579, -1, -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -3*t + 25. Let y be l(8). Let x(k) = 274*k**3 + 2*k**2 - k. List the prime factors of x(y).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z + 17 + 1698*z**2 + 24 - 56 + 13.\nAnswer: 1698*z**2 - 12*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -22 - 8. Let o(j) = -23*j - 40. Let y(f) = 25*f + 45. Let g(p) = 6*o(p) + 5*y(p). Let m be g(u). What is the greatest common divisor of m and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -359074 divided by -1\nAnswer: 359074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -644 + 2695. List the prime factors of n.\nAnswer: 7, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 1 = 7. Solve s + u + 0 = -1, 0 = -m*s - 3*u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-3\/7))**(3\/7)\/(n\/(n\/(n*n\/(n\/(n*n**(-9))))*n)*n**(9\/7)) assuming n is positive.\nAnswer: n**(341\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 400748.\nAnswer: 2, 19, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) 1\/2 (c) -4 (d) -31087 (e) 5 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/8)\/z**(-3))\/((z**(-7)*z)\/z**7) assuming z is positive.\nAnswer: z**(127\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 196357.4 years?\nAnswer: 196.3574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-420)\/(-25))\/(-21)*(-1)\/((-174)\/15)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 646994 is divided by 317.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 + m. Let h(d) = 3951*d**2 + 878*d. What is -h(v) + 878*u(v)?\nAnswer: -1317*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 9:31 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11184306 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 2:23 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5)*n*n**(-16)*n)**(3\/14) assuming n is positive.\nAnswer: n**(-108\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 198362 + -198362.513371. Let v = 0.407 + 0.106. Let f = d + v. Round f to five decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 6*q**2 + q + 4. Let i be t(-7). Let w = -30 - i. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/(((u**(1\/2)\/u)\/u*u)\/u)*u**(1\/9)\/(u**(-2\/5)*u))**(-3\/22) assuming u is positive.\nAnswer: u**(-61\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Suppose -5*z = -a - 2. Let g(c) = c**2 + 2*c - 1. Determine g(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 - 3) - 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5506*b + 137703. Calculate h(25).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 4050359.\nAnswer: 40503590","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + 14*p - 16. Let b be h(8). Suppose -28 = -4*u - b. Let g(l) = -3*l**2 - 1. Calculate g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16551 is divided by 5514.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67940123?\nAnswer: 67940123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 1:07 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53705259?\nAnswer: 3, 5967251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3\/32, -9, 1\/8 in ascending order.\nAnswer: -9, 3\/32, 1\/8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**5 + 182*a**4 + 2741*a**3 + 14296*a**2 + 31020*a + 23904 = 0.\nAnswer: -166, -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of 3*t**5\/20 - t**4\/6 - 2*t**3\/3 + t**2 + 4*t. Is b(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:48 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 447 + -130. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 + -20222012?\nAnswer: -20221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1820557*i - 3641106*i + 1820551*i.\nAnswer: 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-13))\/((-10)\/(-785)) + -9. Which is smaller: u or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 11) in base 13?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 4:21 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 739974.8nm to kilometers.\nAnswer: 0.0000007399748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 337*z**2 - 63*z**2 - 67*z**2 - 72*z**2 - 68*z**2 - 64*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -0.23. Let z = d + -0.39. Which is the closest to -2? (a) -2 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-824*b + 1642*b - 817*b - 12)*(8*b + 0*b - 3*b).\nAnswer: 5*b**2 - 60*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102979 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from {e: 1, l: 2, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1029, 3, 96.\nAnswer: -1029, 1, 3, 96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1862 divided by -9606\nAnswer: 931\/4803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/((-110)\/96))\/((-2841)\/(-20834))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2010913 and 417?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 2, o: 1, i: 1}. Give prob of picking 1 q and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 3:34 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = v - 2*v - 3*m, -v - 2 = 4*m. Let f = v - -6. Suppose 290 = f*k - 398. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-90)\/18)\/(2*(-301)\/(-86))?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 686*u**3 - 5*u**2 - 11*u + 87. List the prime factors of o(4).\nAnswer: 43867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3 - 3*p**3 - 41*p - 14*p**5 + 344*p + 20*p**5 + 12*p**2 wrt p.\nAnswer: 120*p**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 5. Let f be d(-4). Let y = 1 + f. Let g(z) = z**3 + 8*z**2 - z - 4. Let c be g(-8). Solve y*o - c = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 4*h + 33, 4*m = -4*h - 36 - 0. Let f(x) = 5*x**2 + 8*x - 3. Let w(g) = 14*g**2 + 23*g - 9. Determine h*w(k) + 17*f(k).\nAnswer: k**2 - 2*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/2)\/(q\/(q\/q**(1\/6))*q))**(10\/13) assuming q is positive.\nAnswer: q**(-80\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/7 - 2789475*x**2\/7 - 5578953*x\/7 - 2789477\/7 = 0. What is x?\nAnswer: -1, 2789477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 1. Let h be x(1). Solve -55 = -h*m - 4*q - 35, 4*q = 5*m + 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 + (-166 - 51) + 256\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*s - 214 - 1663 - 307 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 534 - 441. What is the greatest common divisor of n and 620?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 38912198*u**3 + 13891015*u.\nAnswer: 233473188*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 19*r + 14. Let t be g(0). Let z(h) = h**3 - 16*h**2 + 31*h - 30. Let w be z(t). Solve 2*j - 5*x = -w, j - 8 = 3*j - 4*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2175365 is divided by 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -2920*o**2 - 306*o + 4138. What is the derivative of i(x) wrt x?\nAnswer: -5840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/(-6)*144\/(-135)*(-3)\/(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2781*g**3*r**3 - 13*g**2*r**3 - 10*g**2 + 19*r**3 + r**2 wrt g.\nAnswer: 16686*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2895 is divided by 124.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 8*s**2 + s + 6. Suppose 0 = -3*t - t + 4. Let h = 9 - t. Does 7 divide j(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 PM and 11:53 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23049, 23008, 22981, 22998, 23089, 23284?\n\"Answer: 5*m**3 - 23*m**2 - 7*m + 23074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 8*u + 1. What is g(-5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.149 - 4.149. Sort 5, -5, p.\nAnswer: -5, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22433 (base 5) to base 14.\nAnswer: -838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3172950.91 rounded to the nearest 100?\nAnswer: -3173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + -0.39. Let g = -0.93 - r. What is the second smallest value in g, 2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241068407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -72959\/28 + 18252\/7. What is n in 4*n + 1\/4*n**3 + 3 + p*n**2 = 0?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -0.98. Let y = -0.18 - x. Let h(c) = c**3 + 4*c**2 + 3*c. Let z be h(-2). What is the biggest value in 0.5, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844310277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + -1)\/(3\/(-12)). Let j be (-4)\/(-14) - q\/14. Let o(h) = -h + 9. Is o(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 7*l**2 + 24*l + 11. Let r be s(-5). What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 510.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.7 - 1.8. Suppose -14 + 0 = -3*u + 4*g, 3*g = 2*u - 10. What is the closest to 1 in 0.3, u, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 4. Let f(r) = -1. Let m(z) = 2*f(z) + k(z). Let d be m(1). Let x be -3 + (-2)\/12 + 3. Which is the closest to d? (a) -5 (b) -2\/13 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((80\/36)\/(-5))\/(2\/9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/35 - (-2 - (-26)\/14). Let y(l) = l**2 - 1. Let j(i) = 4*i**2 - 5. What is p*j(n) + 5*y(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.001 + -0.309. Let p = o - -3.31. Let f = 5\/51 - -133\/204. What is the second smallest value in -29, p, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 216, 3, -21175 in increasing order.\nAnswer: -21175, 3, 10, 216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*g - g, 5*n - 2*g - 8 = 0. Suppose -3*k - 150 = -w, -k + n*w - 37 = 4*w. Let h be (-10)\/(-8) + k\/84. What is the closest to h in -4, 2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10232?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00057419565 to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 13*a**2 - a + 13. Let l be z(13). Let m = 9 + 1. Suppose m = -3*o - 2*o. Which is smaller: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1499*b**4*c**3 + 17*b*c**3 + b*c - 241*c**3 wrt b.\nAnswer: -17988*b**2*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -620 + 49 + 21*v**3 - 24*v**3 + 672*v - 241 wrt v?\nAnswer: -9*v**2 + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2. Let s(b) = -6*b - 30. Let w be s(-5). Let p(k) = 150*k - 150*k + 2*k**2 + w*k**2. Calculate x(p(t)).\nAnswer: -12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-10))\/(31\/155)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 366\/13 + 78\/(-507). What is the common denominator of -37\/98 and ((-42)\/h)\/((-2)\/62)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 902 + 1?\nAnswer: 903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -107755, -107756, -107757?\n\"Answer: -i - 107754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172*u - 77020 = -29720. Which is greater: u or -277?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -505.75 and -135.\nAnswer: 68276.25","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 102 = -3*f, 3*p - 3*f = 2*f + 115. Suppose -7*l = -4*l - p. What is the highest common factor of 165 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = -0*s - o, 2*o + 8 = -4*s. Let j(m) = -m**3 - m**2 + m - 5. Let v be j(s). What is the units digit of (v\/2)\/(90\/(-216))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 3*s + 0*s + (-2 - 1 + 2)*(s + 2 - 2) + 2*s - 2*s - 3*s - s + 5*s - s + 5*s - 4*s - 3*s)*(181 + 62 - 153)*(-9 + 2 + 3).\nAnswer: 360*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9774 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 17\/2*i**2 - i + 1. Calculate the lowest common multiple of 4 and g(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2260 + -2242. Solve 4*a = u*a + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -15*j**2 + 4*j + 3. Let d(r) = 10*r**2 - 3*r - 2. Let o = 3871 - 3878. Determine o*d(z) - 5*c(z).\nAnswer: 5*z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -2\/9 (c) 8 (d) 40883 (e) 0.3 (f) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179862.\nAnswer: 2, 3, 31, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.72 + -219.72. Let i = -216.97 - o. Which is the second biggest value? (a) 0.13 (b) -6\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15538500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**7\/840 + b**6\/72 - b**5\/40 - b**4\/24 + 7*b**3\/6 + 12*b. Let k(q) be the second derivative of n(q). Give k(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 15*r**3 + 5. Let i(s) = 71*s**3 + 15*s**2 + 34. Let b(j) = 178*j**3 + 36*j**2 + 84. Let f(z) = 5*b(z) - 12*i(z). Give -5*f(v) + 12*y(v).\nAnswer: -10*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25100 is divided by 1475?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -11, 3, -1 in ascending order.\nAnswer: -11, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*g + 0)*(3058*g**4 - 6136*g**4 + 11*g**2 + 3106*g**4).\nAnswer: -84*g**5 - 33*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*j - 94*j + 610*j to m + c*j and give c.\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10*b + 3 - 12*b)*(-72 - 387 - 149)*(-4 + 5 + 1).\nAnswer: 2432*b + 2432","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25494391\/5456 + -51402\/11. Calculate the common denominator of 101\/8 and i.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.019 in 5, 4\/9, -24\/25, -11, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9756 by 109.\nAnswer: -9756\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c**2 - 71*c + 75. Determine v(-24).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/8 and 7\/791919.\nAnswer: 6335352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((1 + 3*(sqrt(5808) + sqrt(5808) + -1) + 6*-3*(sqrt(5808) + -1))*6)**2.\nAnswer: -608256*sqrt(3) + 30117891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + -1 - (-5 + -2 - 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3559*c**3 + 2*c - 193 wrt c?\nAnswer: -21354*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 + (0 - (2 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 38 = 9*h - 33 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) + sqrt(99)\/sqrt(3)*3)\/(sqrt(12)\/(sqrt(8)\/sqrt(2))))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -38*c**2 - 7*c - 3. Let k(o) = -96*o**2 - 18*o - 8. Let i(t) = -5*k(t) + 13*w(t). Let s(r) = 21*r**2 + r - 1. What is -7*i(d) - 5*s(d)?\nAnswer: -7*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {p: 8, s: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 37 = -2*z, -4*z = z - 25. Let m(f) = -4*f + 2*f + 0*f + 5*f - 21. Let s be m(o). Solve -q = q + s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/1100*(-3)\/3.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x\/(x*x\/(x*(x**(-3\/4)\/x)\/x)*x))\/(x**(-1)*x\/((x*x**(-5)*x)\/x*x)))**(-2\/27) assuming x is positive.\nAnswer: x**(23\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 907, -0.4, -1 in decreasing order.\nAnswer: 907, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -10, 3, -3.\nAnswer: -10, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -61 - -93. Suppose 4*v + x = 4*k, -k + 0*v = -3*v - 2. What is the remainder when 21 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1060*r + r**2 - 1060*r + 7 + 2*r**2 - 2*r**3 to v + w*r**3 + q*r + i*r**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20 + 104?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*l = 138, -95 = -9*v + 7*v + l. Find the third derivative of -750*q + 750*q - v*q**2 - 83*q**3 wrt q.\nAnswer: -498","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 19.60913 weeks?\nAnswer: 11859601824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62 and 862.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 26 = -0. Let m = -16 + v. Let d(s) = -2*s - 4. Determine d(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015855 to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 798691338?\nAnswer: 2, 3, 4013, 11057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17034*x**3 + 30528*x wrt x?\nAnswer: -102204*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322*o**3 - 130 - 529*o**2 - 30*o**2 + 130 wrt o?\nAnswer: -1932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.7 + 0.3. Let p = -63 + 133. Let f = -634\/9 + p. Which is the closest to n? (a) f (b) -0.1 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-14 - (-245 + 224 - (12 - 2)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2. Let c be 1\/3*(-5 - -14). Let o(l) = 5 - c - 2 + 6*l. Determine o(s(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/9825917?\nAnswer: -3\/9825917","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-six fifths of a decade?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*z = 2*z - 30 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from {q: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 5*t**2 + 9*t + 21. Let l be u(-6). Let n(b) = 11*b + 1103*b**2 - b**3 - 1105*b**2 - 7 + l*b**3. List the prime factors of n(5).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - -3 - (0 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -8 (b) 848 (c) 19 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*d**4*w**3 + d**4*w**2 + d**2*w**3 - 132*d**2*w**2 + 4*d*w**3 wrt d.\nAnswer: -624*d*w**3 + 24*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: e (base 15) to base 2\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 - 7*f + 5. Let q(i) = -i**2 + 4*i - 2. Let m(j) = 4*p(j) + 7*q(j). Let w be m(0). Which is bigger: 7 or w?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/73? (a) 2\/69 (b) -3\/2 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 157063549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, -0.04, 1\/5, -2\/3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3896)\/(-26) + (-10)\/(-65)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -66 - 74. Let w = y - -221. Let c = -81.0000083 + w. Round c to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -18\/5 (b) 2\/11 (c) -1\/5 (d) 0.2 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12e97 (base 15) to base 16.\nAnswer: -ecfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(75\/50)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1005)\/183 - (-12 - -7). Are l and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/7, -3.9, -0.4, -2\/3, 1842?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 15*v**2 - 7*v - 2090. Let b(x) = 13*x**2 - 6*x - 2075. Calculate -7*b(f) + 6*z(f).\nAnswer: -f**2 + 1985","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/1546 and -55\/16.\nAnswer: 12368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 11 - 24. Let v = -2 + b. Let z = 6600 + -6598. What is the third smallest value in -5, z, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.25 + -1.95. What is the closest to -1\/17 in m, -0.1, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/38298 and -31\/19149.\nAnswer: 38298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-244)\/(-2074) - (-690)\/(-12512).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22833023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and 0.1791.\nAnswer: 11.1791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 175 + -175. Solve t = -0*v - 2*v - 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2244\/76595 or 0?\nAnswer: -2244\/76595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 PM and 7:59 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of 7*r**6\/24 - 47*r**5\/20 + 47*r**4\/16 + 167*r**3\/12 - 75*r**2\/4 - 54*r - 5995. Determine v so that n(v) = 0.\nAnswer: -9\/7, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t + 4. Let y(h) = h + 14 + 12 - 43 + 16. Calculate -s(l) - 5*y(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 5*y - 47. Let t be j(8). Let l be 3 + (-4)\/1 - t. Let a(x) = 6*x - l - 11*x + 6*x. Give a(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61071 * -0.103\nAnswer: 6290.313","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -2*r. Let g be -1 - (-5 + (-6 - -6)). Suppose r = -2*i + 2*l - g, -l + 0*l = i - 2. Solve 5*w + 7 + 19 = -o, w - 2*o + 3 = i for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.392 - 25.392. Let n = 1 - 1.5. Which is the third smallest value? (a) 1 (b) 0.3 (c) y (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18919)\/(-4) + -3 - (-14)\/56 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 54*h + 53. Suppose -5*n = l + 13, 0*n - 34 = l - 2*n. Is j(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14815600 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -35 - 33 + 113 - 38 + 3*a. Calculate k(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.5 + 6. Which is the third smallest value? (a) s (b) -3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00067303722 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -1430*8\/(-11 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - o + 1. Let d(b) be the second derivative of -b**3\/6 + b**2\/2 + 2*b. Determine d(a) + w(a).\nAnswer: a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 89.35349ug?\nAnswer: 0.08935349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -265*c**5 - 42*c**3 + 41*c**2 - 175?\nAnswer: -15900*c**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*y - 3*y - 32. Let f = 12 + y. Suppose -20*q + 1516 = -f*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 5, 0.2, 3\/29, -4\/13, 1?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2671*k - 13143. Calculate m(-5).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 345197 + 134801. Suppose -4*p = -8, z - p = -0*z + m. What is z rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 + 4*d - 13133. Calculate g(78).\nAnswer: -653","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-3) + (-2)\/(-6). Let i = 1 + 1. Suppose -p + 37 = i*a + 11, o = 4*a - 5*p - 38. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-9))\/(-1*(-3)\/(-45)). Suppose 0 = -s + l - 10. Solve 5 = 5*m - s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 211 + -301312?\nAnswer: -301101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 1 - 15. Suppose 0*u + 20 = -z*u. Let a(y) = -2*y - 9. Let c(i) = 3*i + 13. Let d(f) = -8*a(f) - 5*c(f). Give d(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + f - 15 = -10*f - 2*f, 6*f + 11 = -4*m + 41 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.21827um to nanometers.\nAnswer: 77218.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 65781.57 litres?\nAnswer: 65781570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*p = -2 + 16, -5*s + 13 = 4*p. Put -0.5, s, -4\/15, 4 in decreasing order.\nAnswer: s, 4, -4\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 148 + 275 - 127.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from mxexeexeeeexee.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 11. What is the closest to 1\/5 in r, 1\/2, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + 5*i**2 + 2*i. Let b(v) = 5*v**3 - 6*v**2 - 3*v. Calculate 3*b(x) + 4*t(x).\nAnswer: -x**3 + 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + v + 1. Let g(y) = 2*y**3 + 2*y**2 - y. Let r(k) = g(k) - p(k). Let j be r(-2). Let o**3 + 0*o**j - 4*o**3 + 12*o = 0. What is o?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 14\/(-20)*(-50)\/105*(-120)\/50. Which is the fourth smallest value? (a) -2 (b) -0.1 (c) r (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6.3267 and 0.04.\nAnswer: -6.2867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 8:58 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103586 or 103588?\nAnswer: 103586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/7 and 32\/245?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 325\/6 - 54. Let y = 7 - 6.7. Let f = 0.7 + 2.3. Sort s, y, f in ascending order.\nAnswer: s, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0 - 1 = 0. Let i = 66 - 74. Let q be (0 + -3)*i\/60. Which is the smallest value? (a) q (b) 2\/15 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2555584*z**3 + 22799436*z wrt z.\nAnswer: 15333504*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5632 or -5457182\/969?\nAnswer: -5632","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 82395.7.\nAnswer: 82395.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12063*f**3*p**2 - f**3*p + 119*f**3 - 8*f**2*p - f**2 wrt p.\nAnswer: 24126*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - f - 5, 0*j + 2*f = -4*j + 6. Let v = 20 - 10. Solve j = w, 4*z + 4*w + 2 = -v for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - q - 3*q)*(q + q - 3*q) + q**2 + 3*q**2 + 0*q**2.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515141*b + b**2 + 515183*b - 1030324*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(1\/2)*b)\/((b*b**(-6)\/b)\/b))**(-19)*(b\/b**(-1)*b*b)**(-2\/3)*b**(-2\/9)\/b**3 assuming b is positive.\nAnswer: b**(-3355\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2\/2 + 24*u - 2. Let w be a(-12). Suppose -3*m = 2*l - w, -5*l + 3 = -5*m - 2. Solve -2*h + m = -4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/9*8\/((-8)\/(-2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/720 + y**5\/120 + y**4\/24 - 4*y**2. Let z(t) be the second derivative of a(t). Let w = -1 - -4. Determine z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*n = -0*n + 24, 4*n = 0. Let i be 40\/2*((-12)\/c - -2). What is the derivative of -5*q**4 + 2*q**4 - i - 7 wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j + 10. Calculate the lowest common multiple of 4 and c(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6047, -12256, -18475, -24710, -30967?\nAnswer: -37252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025967 rounded to four dps?\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 33812, 33816, 33822, 33830, 33840, 33852, 33866?\n\"Answer: l**2 + l + 33810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -219 divided by 1\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 4956 = -3*y. Suppose -1526 = -8*w + y. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 244*d*l*y + 2*d*l + 5*d - l*y + 13 with respect to y.\nAnswer: 244*d*l - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1569, 6265, 14087, 25029, 39085, 56249?\nAnswer: 76515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*1\/3*124\/4. Let s = x - -6. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkmnnnknn. Give prob of picking 1 l and 1 n.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:37 PM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -q - 11, 4*q - 10 = 3*c + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 2. Suppose m - x - 1 = 0, -2*x + 1 = 4*m - 7*m. Let h be q(m). Suppose h*k - 369 = -59. What are the prime factors of k?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 174 - 170. Let p(w) = w**2 + 3*w + 3. Let o be p(-3). Solve -u - o = -y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 37 + 50. Suppose 5*s - 31 - t = 0. Let g = -82 + 116. Calculate the remainder when g is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (65\/(-26) + (-3)\/2)*(-75)\/60. Factor 0 - 2*m**3 + 10\/9*m**4 - 2\/9*m**u + 14\/9*m**2 - 4\/9*m.\nAnswer: -2*m*(m - 2)*(m - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2793967ns in days?\nAnswer: 0.00000000000002638190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10181906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3598, 3855, 4172, 4549, 4986, 5483, 6040?\n\"Answer: 30*g**2 + 167*g + 3401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -52 - -336?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 95 - 22 = 0. Let y = 121 - n. Suppose 3*z - 16 = 23. Calculate the remainder when y is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -28, -38, -50, -70, -104?\n\"Answer: -m**3 + 5*m**2 - 18*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -65356*s + 25303 wrt s?\nAnswer: -65356","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4 = -0*f. Suppose 0 = 3*k + 2*q - 11, -f*q + 19 = 5*k - 2. Solve 5*a + 5*u = -25, k*a - u + 7 = -0*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*y + 993*y - 4 - 242*y - 244*y - 258*y + 4.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19629936 to the power of 1\/3, to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 127, 253, 367, 463, 535, 577?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of -5 + 529\/7*n**2 + 1\/42*n**4 + 46\/21*n**3 - 13*n. Factor z(o).\nAnswer: 2*(o + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140634606 divided by 1631.\nAnswer: -86226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:42 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + 50 + 15)*(-6*i**3 + 5*i**3 + 0*i**3).\nAnswer: -87*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in -5\/2, 0.4, 47, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2435311 (base 6) in base 10?\nAnswer: 129499","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2476220?\nAnswer: 2, 5, 17, 7283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z**3 - 7*z**2 + 15*z + 74. What is the thousands digit of p(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 4*b = 6246 - 6358, -3*q - 4*b = -37 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*m + 3*m + 19, 3*m = -2*v - 22. Let t be (-3)\/(-6) + (-68)\/m. Is t at least 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 381 - 383. Let k be (7\/p - 130\/(-52)) + 5. Solve -3*f = k*j + 31, -6 = -5*f + 3*j - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**3 - 5. Let p(h) = -7*h**3 - 6. Calculate 5*p(v) - 6*w(v).\nAnswer: 13*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/3))**3*(t*t\/(t**0\/t))\/(t*t**(5\/6)) assuming t is positive.\nAnswer: t**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-468)\/(-90) - ((-14 - -12) + 11\/5). Solve j - z*h = -3 + 4, 5*h = -7*j - 33 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -231 and -5.\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(605) - (-1*sqrt(605))**2*-3 - (-3*sqrt(605)*3 + sqrt(605))**2 - ((5 + sqrt(320))**2 - ((-1*sqrt(605))**2 + sqrt(605))).\nAnswer: -36645 - 58*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 125, 132, 143, 158, 177, 200, 227?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565, 734, 1201, 2116, 3629, 5890?\nAnswer: 9049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 350497787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**5 + 311*g**4\/3 + 5887*g**3\/3 + 3073*g**2\/3 - 13066*g\/3 + 1264 = 0 for g.\nAnswer: -79, -24, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5655*d - 28270. Determine u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 2. Let o(h) = 6*h - 4. Let l(a) = o(a) - 2*v(a). Let d(g) = 5*g. Calculate d(l(j)).\nAnswer: 20*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000279464 to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -0*v - 95. Calculate the remainder when v is divided by (2\/(-6))\/((-2)\/66).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -73*n. What is the tens digit of z(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -6\/107 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8861291.534 and 2?\nAnswer: 8861293.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4730409 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 48295*t - 48304*t - 14 = 0, 3*i = 3*t - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2. Let u(r) = -2076*r**2. Determine o(u(x)).\nAnswer: 8619552*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, u: 2, l: 1, w: 4, c: 8, p: 1}. What is prob of picking 1 l, 1 i, and 1 u?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-12\/5)\/(i**(-2)*i\/i**(1\/3)*i))\/(i**(-1\/10)\/i**(-4\/5))**(-29) assuming i is positive.\nAnswer: i**(619\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(300) + 2) - (3 + sqrt(300) + 0) - (2 + (-3*(3 + -2*sqrt(300)))**2).\nAnswer: -10884 + 1080*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*x = 39*x + 42*x - 2106. Solve x*r + 30 - 12 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 4*z = -41, -4 = -z - 0*z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -46, 42, 168, 344, 582, 894, 1292?\nAnswer: 1788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-4)*6\/1. Let a(y) = y + 8. Let g be a(-6). Differentiate -7*r + h + g*r - 7 with respect to r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3\/8 - 17648*h**2 - 141191*h\/2 + 211782 = 0?\nAnswer: -6, 2, 141188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b59 (base 16) to base 8.\nAnswer: 25531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1559 = 5*t - 4*m, 3*t + 157 = -3*m + 1114. Let d = t + -313. Solve c + d = -0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*r + 26, 4*s - 4 = r + r. Let q be (-4 - (-26)\/r)\/((-8)\/5442). Let i = -234 - q. What is the common denominator of 111\/20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 661*s - 4*v + 152 = 663*s, -5*s - 101 = -3*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*sqrt(306))\/(sqrt(18)\/(2*sqrt(9))).\nAnswer: -90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 10*v**3 + v**2 - v. Let c be m(1). What is the lowest common multiple of 8 and 20\/8*24\/c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 735\/(-945)*2508\/266.\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 2 e, and 1 i when four letters picked without replacement from ipieeieiiepeppe.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(204)*2 - (sqrt(204) + (sqrt(204) - (1*sqrt(204)*-1 - sqrt(204)))))\/(-4*-1*sqrt(432)*2))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0*c + 3*c)*(c - 6 + 6) - 26*c**2 + 7*c**2 - 5*c**2 + (-4 + 1 + 2)*(c**2 - 5*c**2 + 6*c**2) - c**2 + 3*c**2 - 3*c**2 + 0*c**2 - c**2 + 0*c**2.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f6 + -3?\nAnswer: 5f3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -h + 4*v, -4*h - 86 = -h + 4*v. Let y = 40 + h. What is the derivative of -6 + 4*l**3 + y - 16*l**3 wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3482 at most as big as -3488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4046 - -16?\nAnswer: -4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n - 1. Suppose -5*k - 7*r + 12 = -3*r, 0 = 4*k + 4*r - 12. Let h be -1 + 1 + k - 1. What is the units digit of c(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*t + 4*k + 146403 = -24*t, 2*k = 12. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/19688 and 109\/42504.\nAnswer: 4547928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 + 81341*k\/2 + 30504 = 0. What is k?\nAnswer: -3\/4, 20336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24013143 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 195530.31 months to centuries.\nAnswer: 162.941925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -5. Let n be (-146 + o)\/((-18)\/930612). Let u be n + 2\/(-3 + 4). What is u rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5858639?\nAnswer: 5858639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y - y + 3*y)*(26 - 5 + 9) + y + 0*y - 4*y in the form p + i*y and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 72646294859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -2*h**4 - 10*h**3\/3 + 13*h**2\/2 + 14*h - 100. Is p(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -49141, -49163, -49185, -49207, -49229, -49251?\n\"Answer: -22*v - 49119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2373*q**3 + 95*q**3 - 3*q**3.\nAnswer: 2465*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1166 + (-8)\/(-32)*36. Let j = -4691\/4 + d. What is f in 3\/2 + 29\/4*f + j*f**2 = 0?\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 66\/5 + 86\/(-430). Solve 9*w = q*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8*r**3 + 290*r**2 - 73*r + 39. Let b be g(36). Solve 19 = 4*t + 3*o, b*o + 2*o - 27 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*b + 59 = 37 - 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u + 103. Let b be w(12). Solve -23 + b = -4*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 18. Suppose 0 = -0*f + 2*f - a. What is the third derivative of f*c**2 - c**5 - 2*c**6 + 3*c**6 + c**5 wrt c?\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/129 in -2, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228448 and 1615592.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/2 - k - 6. Let d(o) = -7 - o + 2*o + 7. Give d(m(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 PM and 5:17 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 44)*(-4)\/12. Suppose 3*w - u = -3*x, 2*w + 4*x - 13 = x. Let f(q) = 9*q**2 - 3 + 3 - 12*q**w. Let y(c) = -3*c**2. Calculate f(y(d)).\nAnswer: -27*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12811871.\nAnswer: 19, 47, 14347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93003090 a multiple of 867?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 + -48c?\nAnswer: -4cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009350961 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769064?\nAnswer: 2, 251, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzabnb. What is prob of sequence znna?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1456, -1455, -1454, -1453, -1452?\nAnswer: -1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5 + 2 + 6*f - 8*f**2 + 2 + 124*f**4 - 120*f**4 - 4*f**3 - 4*f = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -123*0.04\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 10, u: 4, f: 6}. What is prob of picking 2 f and 2 y?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/37066 and -27\/473.\nAnswer: 407726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 3*a**5 + 6*a**4 - 12*a**3 - 24*a**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 b when four letters picked without replacement from {z: 1, c: 3, b: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 190863225?\nAnswer: 3, 5, 7, 179, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m. Let a(u) = -u**2 - 2*u - 25356. Calculate x(a(q)).\nAnswer: 2*q**2 + 4*q + 50712","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.132*2.\nAnswer: 0.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -88 + 107. Suppose 0 = -3*v + 2*a + j, -v = v + 4*a + 14. Let w be (-78)\/(-21) + 2\/7. Solve -t = w*m - 10, 3*m + m - 2 = v*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 4*i**2 + 8*i - 18. Let j be p(-6). Let z(w) = -6*w**2 + 47*w - 35. Let d(y) = y**2 + y + 1. Let o(a) = j*d(a) + 2*z(a). Solve o(n) = 0.\nAnswer: 2\/3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37154 = -182*d + 155*d + 165751. Is 45 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3257 - -3258. Suppose 5*w - 8 = 2*m, 5*m + 20 = w + 2*w. Let u be ((-125)\/4)\/l*(1344 + w). What is u rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(144)\/(sqrt(72)\/(sqrt(9) + sqrt(9)*1)) - -3*(sqrt(8)\/sqrt(64) + -1*sqrt(2)*-3)))**2*4.\nAnswer: -252*sqrt(2) + 4001\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 5. Let q(i) = -4*i + 7. Let f(w) = 7*h(w) + 5*q(w). Let v(p) = 3. Let m(s) = -5*f(s) + v(s). Differentiate m(r) wrt r.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -47, 3, -108\/433?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15769 is divided by 3\/(-2) - (1050\/(-12) - 9).\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t + 7. Let n(g) be the third derivative of -g**4\/24 + g**3\/2 - 5*g**2. Give -7*n(o) + 3*p(o).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779359?\nAnswer: 7, 111337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 728 + -95. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -141 + 2117\/15. Let o be 209\/(-380) - (-1)\/(-5). Which is the closest to 0? (a) -3 (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**5 - 2888*z**4 - 185440*z**3 - 362232*z**2 - 179676*z = 0. Calculate z.\nAnswer: -651, -69, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -66*l**2 + 4*l - 9. Let t be a(-6). Let z = 0 - -1. Let j be -255*(t\/9 + z). What is j rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5.1 (b) -0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:21 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07363403*-0.08.\nAnswer: -0.0058907224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (25\/1500)\/(2\/16)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = -15. Put o, -3, 0 in increasing order.\nAnswer: o, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 646757174?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.2594868778 - 304.\nAnswer: -314.2594868778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 12 = 10. Suppose 3*d + d - 20 = -4*m, 3*d - x*m - 15 = 0. Suppose 111 = 8*c - d*c. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Let b(z) = 15*z + 1. Let v(q) = b(q) - 4*t(q). What is v(9)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194971, 389943, 584915, 779887?\nAnswer: 974859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t**2 + 2*t - 5. Let k(q) = -15*q**2 + 7*q - 17. Let b(n) = 2*k(n) - 7*m(n). Give b(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r**2 - 62*r. Let c(u) = -9*u**2 + 56*u. Let m(n) = -11*c(n) - 10*p(n). What is m(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1959*u - 979*u - 978*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 73 = -4*x, -n = x - 2*n + 25. Let z be (-4)\/x + (-24)\/(-110). Is 1\/2 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-2 - (0 + (2 - 2)))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-165)\/132)\/((-10)\/12).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, a: 4, z: 2}. What is prob of picking 2 z?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9166, 18341, 27494, 36619, 45710, 54761, 63766, 72719?\nAnswer: 81614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -34*m**3 + 21*m**2 - 5*m. Let j(g) = -35*g**3 + 22*g**2 - 6*g. Let c(t) = 6*i(t) - 5*j(t). Find the third derivative of c(s) wrt s.\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -1, -4, 3 in descending order.\nAnswer: 14, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92362 = 101*q + 86100 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c - 2*c - 2*c + 2*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6432497 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(325) - (0 + sqrt(325) + 0 + sqrt(325))) + -4 + 1*(-1 + sqrt(325))*-1*-2)**2.\nAnswer: -30*sqrt(13) + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8c5ec7 - 1?\nAnswer: -8c5ec8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(39)\/(sqrt(6)\/sqrt(2)) - sqrt(13)) + sqrt(13).\nAnswer: -3 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7711 is divided by 67?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25292951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-23\/5)*n*n)**(2\/55)*n**(5\/4)*n*(n**(-42)\/n*n*n)\/n assuming n is positive.\nAnswer: n**(-43829\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.33, 0.3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73932*-249.\nAnswer: 18409068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.2, 23, -0.2, -2, -633, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**3*o)\/o*o)**(-6)*(o*(o\/(o\/(o*(((o\/((o\/o**(2\/9))\/o)*o)\/o)\/o*o)\/o)))\/o)\/o**(-14))**(-33) assuming o is positive.\nAnswer: o**(869\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 351795857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -84, 125, 694, 1803, 3632, 6361, 10170?\n\"Answer: 30*f**3 - f - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1301 - 660. What are the prime factors of t?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**3 - 2*s**2 + 6*s + 879. Let h(g) = -2*g**3 - 3*g**2 + 9*g + 879. Give 2*h(l) - 3*u(l).\nAnswer: 2*l**3 - 879","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*w**2 - 133225994*w + 7993560 = 0.\nAnswer: -1332260, 3\/50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -9*u + 9*u**2 - 4*u**2 - 13 - 4*u**2. Let l(o) = -2*o - 3. Let y(n) = 2*n + 3. Let b(d) = -4*l(d) - 3*y(d). Calculate 2*a(z) + 9*b(z).\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62.5 + 3.5. Let z = q + 63. Which is the third biggest value? (a) 0.2 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l**2 + 11*l - 116. Let z(t) = 12*t**2 + 7*t - 72. Calculate -5*b(n) + 8*z(n).\nAnswer: 6*n**2 + n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 442, 1059, 2056, 3625, 5958, 9247?\n\"Answer: 32*v**3 - 2*v**2 + 399*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2892712 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 - 68*b**2 - 242*b + 740.\nAnswer: 2*(b - 37)*(b - 2)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/3 and 40\/363?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (32490\/475)\/((-4)\/(-10))?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62811, 62806, 62801, 62796, 62791, 62786?\nAnswer: 62781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -13145.73 to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*r - 9*r + 1 = -46*r + 1081 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-2*2\/4). Suppose -p*w + 96 = -44. Let a = 139 - w. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212314 (base 7) to base 11.\nAnswer: -25769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1043*q**4 + 373133*q**2 + 1002388529*q.\nAnswer: 12516*q**2 + 746266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 134099203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*w**2 + w**2 + 24*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/26 - (-1570)\/65. Let r be (64\/a)\/((-4)\/(-6)). What is the second derivative of 9*q**5 - 17*q + r*q + 3*q**5 - 2*q wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (227\/((-19068)\/(-3528)))\/(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/3 + 176*r\/3 + 3872\/3.\nAnswer: 2*(r + 44)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.822 - -38.822. Let j = -648.89 - -612. Let t = j + d. What is t rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - 15. Which is bigger: n or -1\/48?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*g**5 + 3578*g**4 + 117*g**3 + 42530824*g**2 wrt g.\nAnswer: -1440*g**2 + 85872*g + 702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*c**3*l + 2*c**2*l**2 + 127*l**2 wrt c?\nAnswer: -36*c**2*l + 4*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.83 + -1.33. Which is the smallest value? (a) -2\/15 (b) -2\/11 (c) t (d) -98\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67451972*f**4 - 195*f**2 - 156936?\nAnswer: -1618847328*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/4 - 2*c**3\/3 + 2*c**2 - 4*c + 5. Calculate the lowest common multiple of n(-4) and 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 251.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2649182 - -55?\nAnswer: 2649227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304182151.\nAnswer: 7, 13, 477523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-2))\/(2268\/1296*(-6)\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34\/13 + 672\/247. Which is the nearest to 0.1? (a) -19 (b) i (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -8) + 7 + (94 - (6 - -6)) + -10\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3214\/13483 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x*x**(-23))\/x*x)\/x*x**(-1\/12))**(-6\/7))**(-37) assuming x is positive.\nAnswer: x**(-10249\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -18*u + 934. What is the remainder when i(50) is divided by 25?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.324 and -0.16?\nAnswer: -0.05184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 6 + 0 - 8 - 68*k in the form l + t*k and give t.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, q: 1, y: 3, i: 4}. Give prob of picking 1 q, 2 t, and 1 i.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 less than -590?\nAnswer: -616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p = 12*p + 246. What is the remainder when p is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, 88, 227, 422, 673, 980, 1343?\n\"Answer: 28*k**2 - k - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9360\/8190)\/(3*(-4)\/672)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7759636*x**2 - 1740*x - 373.\nAnswer: 15519272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 63 = 29. Suppose -4*s + 3*g = -d, -3*g + 2 - 10 = -s. Solve -2 = s*r - 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 5*u - 64. Let a be b(-11). Find the third derivative of -w**3 - 2*w**3 + 2235*w**4 - 2*w - 2236*w**4 + 0*w + 40*w**a wrt w.\nAnswer: -24*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -309 by 9.\nAnswer: -103\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86*l*s*x**2 - 6*l*s*x + 7*l - s*x - 11*x**2 wrt x?\nAnswer: -172*l*s - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 328*j - 426 with respect to j.\nAnswer: 328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7766699 years in centuries?\nAnswer: 0.007766699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 2. Let m be t(-13). Let n = -8 - m. Let u be 4\/10 + 22\/(-30). Which is the closest to 1? (a) u (b) -1\/4 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 6414 = z + p, -7998 = -5*z + 2*p. Is z a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000004838 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18.6? (a) -2 (b) -37 (c) -56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 305445.\nAnswer: 3, 5, 7, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -16. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - 28 - (-13 - -7 - (-6 + 0 + 2))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*c - 0*c + 19, 11 = -2*c - 3*l. Suppose 3 = -r + c*r. Let d be (6 + 0)\/(5 - r). Sort 0, d, -2 in decreasing order.\nAnswer: d, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -750*l + 834*l - 168 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**3\/2 + 555*r**2\/2 - 3219*r + 2940 = 0. What is r?\nAnswer: -196, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886177495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*w - 23*w - w**3 - 45*w.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(((-90)\/1)\/9 - 0). Let u(q) = q**3 - 23*q**2 + 58*q + 24. Give u(g).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 5 - 1 - 2 + 5 + (1 + 1 + 0)*(5 - 1 - 3) + 3 - 2 - 3)*(-m**3 - 4 + 4).\nAnswer: -7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -440 + 443. Suppose -n = -0 - 2. Suppose n = -5*s - 2*f - 0, s = -3*f - h. Solve s = -2*x + 4*k + k - 16, 0 = 3*k - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 169 and 1937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 141 = 51. Sort 5, -2, v in increasing order.\nAnswer: -2, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42 + -25. Calculate the greatest common divisor of f and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2196 + 2718 = -525*a + 1239 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4755 divided by 5\nAnswer: -951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 1006.\nAnswer: 1004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(77) - (sqrt(77) - 3*sqrt(77)*4)))\/((sqrt(66) - (sqrt(66) - (sqrt(66) + sqrt(66) + (-3*sqrt(66) - sqrt(66)) + sqrt(66))*6))\/sqrt(6)).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h + 165. Let o(j) = -6*j + 248. Give -8*c(y) + 5*o(y).\nAnswer: 2*y - 80","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 194\/388*(1 + 9). Let x(h) be the third derivative of -1\/60*h**6 + 0 - 3\/4*h**4 + 0*h**3 + 0*h + 1\/5*h**b + h**2. Factor x(u).\nAnswer: -2*u*(u - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 1209 = -3*t. Let a = -692018 + 11065851\/16. Let s = a + t. Find the common denominator of s and -115\/14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/4 - 395*d**3\/3 + 796*d**2 - 1596*d - 312. Solve m(b) = 0 for b.\nAnswer: -399, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-14 - -25) + -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5\/9 + 28*b**4\/9 + 46*b**3\/3 + 280*b**2\/9 + 200*b\/9.\nAnswer: 2*b*(b + 2)**2*(b + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.29 + 0.29. What is the nearest to 3\/2 in 1\/5, 0, c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4712521 a multiple of 3005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 293 - 319 + 143*c**2 - 17*c**2 to the form r*c**2 + v*c + x and give r.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-18 + (19 - 12) - -35)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -404571986\/6445 - -62773. Is i less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/(-3))\/((-2)\/(-16)). Let b = 5 + k. Let l(x) be the first derivative of -2*x**3\/3 - 4*x + 1. Let c(n) = -n**2 - 3. Calculate b*l(i) + 4*c(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1348959517?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 377, -2, -3 in increasing order.\nAnswer: -4, -3, -2, 2, 377","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21290 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = r + 1, -1 = -2*r + 244*u - 243*u for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -3. Let t(i) = -3 + 3*i + i**3 - n*i**2 + i**2 + 2. What is the units digit of t(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35138 is divided by 191?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -12*h**2 + 3*h - 1. Let a(z) = -13766*z**2 - 17*z + 7. What is a(c) + 5*u(c)?\nAnswer: -13826*c**2 - 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65628 and 43.\nAnswer: 2822004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7848072 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88 or -92?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14.4 + -13.4. What is the nearest to -5 in -0.4, n, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -6. Let v(j) = 13*j**2 - 3*j - 3. Is v(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 7*s**2 + 8*s + 3. Let x be r(-5). Let u(m) = -3 + x*m**3 + m**2 + 4*m + 7*m**3 - 21*m**3. Give u(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 620577?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -184*g - 1508. Give b(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a millennium in years?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*y - 17, -11*l - 61 = -15*l + y. Suppose 4*i - i - 177 = 0. Calculate the remainder when i is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.36590421 to three decimal places.\nAnswer: 0.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 5*a = 56, -5*n = -n - 4*a - 32. Suppose -n = -2*o + 2*f, 3*f = 5*o + 2*f - 14. Solve -4*i = -o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*y - 3*s, -4*s + 40 = 3*y + 51 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3514 and 47145581?\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppy when four letters picked without replacement from {y: 1, p: 8, s: 8}.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.21676 * -0.1\nAnswer: -0.021676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -953, -1317, -1929, -2801, -3945, -5373, -7097, -9129?\nAnswer: -11481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*x + 3 + 9 = 0, -5*z = -3*x - 22. Suppose z*u - 21 = 34. Does 5 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769 + 1163 = 259*k - 5838 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 + 9*d**4 - 7*d**4 + (-3 + d**2 + 3)*(d**2 + 0 + 0) + (-2*d + 5*d - d)*(2*d**3 + 2*d**3 - 5*d**3) - 4 - 5*d**4 + 4.\nAnswer: -3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -296.\nAnswer: 1480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j - 3*j + 2*j + 3*j - 1 to the form r + a*j and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**4 - 17*g**3 - 9*g**2 - 4*g + 20. Let l(s) = s**4 + 5*s**3 + 3*s**2 + s - 6. Let t(q) = -14*l(q) - 4*z(q). Determine n, given that t(n) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59560342?\nAnswer: 2, 29780171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/30068626 and -17\/235?\nAnswer: 150343130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -12. Let g = 14 - 6. Suppose h = 2*x - 0 + 8, 0 = 2*h + 2*x + g. Solve h = f - 2 + m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 15*n - 19*n - 1 - 3 - n**3 - 3*n**2. Let v be j(-5). Let w = -22 + v. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 263.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/6804)\/((-1)\/129) - (-3 - (-133)\/49).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 1) + (7 + 7 - 9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 4. Suppose 7*p - 8 = 3*p. Suppose 4*k + 2*f = -8, -k - 16 = -5*f + p*f. Sort k, 1, i.\nAnswer: k, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*l + 61*l - 15 - 25 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -651.5 - -651.4. What is the closest to g in -0.4, -0.2, -1\/6, -4\/43?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.01806816\nAnswer: 0.001806816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -232\/7 + 4520\/133. Is s bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -474e (base 16) in base 8?\nAnswer: -43516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6756 + 6756.18. Is g > -111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 116541, 232649, 348757?\n\"Answer: 116108*u + 433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2*z = -2, 5*l + z = 11008. What is the tens digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2\/2 + 510557*s\/4 + 85093\/4 = 0.\nAnswer: -1\/6, 85093","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*p**2\/15 + 906*p\/5 - 2732\/15.\nAnswer: 2*(p - 1)*(7*p + 1366)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2061.5 + -2044.037. Let w = -11.58 - c. Let a = w + 29. Round a to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 8*i + 3. Let p(s) = -787*s**2 + s. Determine p(f(a)).\nAnswer: -50368*a**2 - 37768*a - 7080","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o + 3*o + 3*o**3 - 18 + 19.\nAnswer: 3*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 334*s**4 + 1555*s**2 + 341*s**4 - 688*s**4 - 2*s**3 wrt s?\nAnswer: -312*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 79*v**2 + 2473*v - 19. Give k(-24).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**4 + 6*f**4 - 131*f**2 - 201*f + 30*f**2 + 201*f - 3 in the form z*f**4 + s*f + m + t*f**3 + w*f**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z**2 + 0*z - 1 - 7)*(0*z**2 + z**2 - 2*z**2 + (4*z - 4*z + 2*z)*(1 + 2*z - 1))*(3*z - z - 4*z).\nAnswer: 12*z**5 - 12*z**4 + 48*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 52, 5.\nAnswer: -2, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/120 and -101\/84?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhux when four letters picked without replacement from ruxiiiiihghixiurhixx.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -5*a**3 - 13*a**2 + 10*a - 10. Let y(m) = 3*m**3 + 9*m**2 - 7*m + 7. Let f(t) = -5*v(t) - 7*y(t). Determine f(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0*((-15)\/(-20))\/(-3) - -389. Let d = y + -4. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**2*o*s**3*x + 7*g**2*s**2 + 10*g*o*s + 2*g*s**3 + g*s**2 + 25*o*x wrt g?\nAnswer: 18*o*s**3*x + 14*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 2*r + 1. Suppose -72 = 2*v - 2*y + 7*y, -v = 2*y + 35. Let t be 1\/(-3) - v\/3. Let g be (-3)\/(-2) - 5\/t. What is q(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from vkkkkkvvvkkkkvkkkkv.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*k**2\/4 + 198*k + 484.\nAnswer: (9*k + 44)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + h - 1 + (-2 + 1 - 1)*(0*h + 4*h - 2*h) - 5*h + 5*h + 4*h - h - h + 0*h - h + 9*h - h - 4*h - h + 4*h + 3*h - 6*h - 8*h.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34673.78 from -22102.5946.\nAnswer: 12571.1854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 580865016 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -7, 1170, -2 in increasing order.\nAnswer: -7, -2, 9, 1170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 172210 divided by -17?\nAnswer: -10130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*q + 183*q - 45415 = 106*q - 104*q for q.\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-4)\/(x*x**(2\/9)*x))**27*(x**(1\/4)*x*x**(-1\/7))**23 assuming x is positive.\nAnswer: x**(-3991\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/29 + -57\/406. Which is bigger: -1\/4 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -5*t - 55. Let m be v(-12). What is the second derivative of 138*b**5 - 2 - 30*b**m + 13*b - 10*b wrt b?\nAnswer: 2160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 13*k**3 + 4*k**2 + 4*k + 4. Let v(b) = -b**3 - b**2 - b + 1. Let p(s) = c(s) + 4*v(s). Find the first derivative of p(x) wrt x.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 390622921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0024 take away -0.25?\nAnswer: 0.2476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*(3*j**2 - 4*j**2 + 2*j**2) + (0*j + 2*j**2 + 0*j)*(2 - 2 + 1).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -9\/32, 4, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 10649*l. Let o(h) = -2*h**2. What is s(o(z))?\nAnswer: -21298*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 3*v - 5 + 23, -v + 11 = 4*c. Is 3 a factor of (-2)\/(-6)*c - -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5 + 1 - 1 - 10*k - k**2 - 6. Suppose -z + 4 = 4*q + 7, 4*z - 21 = -5*q. Calculate the remainder when z is divided by d(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fy when two letters picked without replacement from {j: 1, g: 1, f: 5, y: 5}.\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.03, -17, 0.2 in ascending order.\nAnswer: -17, 0.03, 0.2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1823, -3664, -5509, -7358, -9211, -11068, -12929?\nAnswer: -14794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 4698*z**2. Let s(k) = -3*k**2 - 8*k + 10. Let p(l) = 18*l**2 + 52*l - 65. Let y(c) = -2*p(c) - 13*s(c). Give y(n(d)).\nAnswer: 66213612*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 42079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 4:59 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303526553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -27904\/21 greater than -1328?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b9 (base 15) in base 2?\nAnswer: 110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 538, 2122, 5348, 10798, 19054, 30698, 46312?\n\"Answer: 97*m**3 - 52*m**2 + m - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*r - 3. Let h = -12 + 15. Suppose -r = -4*i + h*i. Is 4 less than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, a: 5}. What is prob of picking 1 a and 3 z?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1213.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -5338*u**2 - 3*u - 24. Let r(f) = -f. Determine r(i(g)).\nAnswer: 5338*g**2 + 3*g + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 117, 187, 257, 327?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148 - -37. Let o be -1 - w - 0\/(-2). Let x be (66\/o)\/((-16)\/(-10)). Which is the closest to -1? (a) -2 (b) 5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (0 + 3 + -9)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/5*-4*25\/40. Factor 0*w - 1\/5*w**5 + 0 + 0*w**y + 2\/5*w**3 - 1\/5*w**4.\nAnswer: -w**3*(w - 1)*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 10:26 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Let b(i) = -5*i + 94. Let x be b(19). Let z(w) = -59*w**3 - w**2 - 31*w. Let f(l) = x*z(l) - 2*o(l). Find the third derivative of f(y) wrt y.\nAnswer: 354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -502612, -1005213, -1507812, -2010409, -2513004?\n\"Answer: c**2 - 502604*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 0.05 (c) -32356\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 1\/35*x**5 - 16\/7*x + 16 - 1\/28*x**4 - 4\/7*x**3 + 2*x**2. Suppose w(s) = 0. Calculate s.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11504 bigger than 954795\/83?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 124, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549 (base 14) to base 15.\nAnswer: 49a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(110)*2*1)\/(sqrt(160)*-2 + sqrt(10) + (sqrt(10) - (1*sqrt(160) - sqrt(10)) - sqrt(10)))*-5)**2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 3140942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 4*o**2 + 4*o - 8. Let t be d(4). Let m be 94 - 6\/t*4. Let b = m - -72. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220123201 (base 4) to base 2.\nAnswer: 101000011011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -16.2. Let i = 0.9 - f. Let o = 3 - 2.9. Which is smaller: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkykyknyyyykyyyyy. Give prob of picking 1 k and 2 y.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*q - 1827, 4*q = 2*o - 1694 + 476. What is the remainder when o is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -24. Let i(t) = -11 + 12 - 1059*t + 1059*t - t**3. Determine i(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -567289398287 - 0.2?\nAnswer: -567289398287.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -206188\/879417 - -120\/517. Are 0 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2880\/(-2835) + 8\/18. Let o(f) = 3*f + 2. Let p be o(1). Which is the second smallest value? (a) -1\/3 (b) l (c) -1.6 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57982306682\/3003 - -19308128. Let h = u + 2\/429. Which is the third smallest value? (a) -1\/2 (b) -2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 107489689, 4 in decreasing order.\nAnswer: 107489689, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - 0.1. Let s = -1.7 + 2. Which is the third biggest value? (a) -0.1 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 656*q**2 + 392*q**3 - 656*q**2.\nAnswer: 392*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98068943?\nAnswer: 7, 2001407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1665 (base 13) to base 7\nAnswer: 12414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 4*d**2 + 3*d - 7. Let a be q(-5). Suppose -7*r + 8 = -a*r. Solve -r*n + 2*g = 4, -5*g - 1 = 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 3:46 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/35977 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3644*g**2*x**2 - 29*g**2*x - 193*g**2 + 3*g + 53 with respect to x.\nAnswer: 7288*g**2*x - 29*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 3, -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 + 3*n**2 - 3*n + 2. Let x(c) = -c**3 - 4*c**2 + 4*c - 3. Let v be -2*33\/18 - (-4)\/(-12). What is v*x(i) - 6*b(i)?\nAnswer: -2*i**3 - 2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**4 + o**3 - 1. Let q(l) = -190*l**4 - 640*l**3 - 1535*l**2 - 845*l + 75. Let s(p) = -q(p) + 15*y(p). Let s(i) = 0. What is i?\nAnswer: -9, -2, -1, 1\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*j - 113*j + 193*j + 24*j = -1463 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k + 342*k + 23*k + (1 - 1 + 2*k)*(3 - 2 + 0) - 5*k + 5*k + k - 2*k + k + 0*k.\nAnswer: 362*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1212723.\nAnswer: 3, 127, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/13)\/(h*h**1\/h))**(1\/9))**(-6\/5) assuming h is positive.\nAnswer: h**(2\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457 = -3*x - 6*u - 469, x - 4*x = 4*u + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 11*j - 9*j. Suppose 8 = 2*h + g, -2*h + 16 = 7*g - j*g. Factor -36*s - 19*s**2 + 7*s**2 + 0*s**h - 8 + 56*s**3.\nAnswer: 4*(s - 1)*(2*s + 1)*(7*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 1755\/105 - (-2)\/7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 35 - ((-47 - -56) + 7)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 40, 67, 110, 175, 268?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -250 + 265. Calculate the remainder when 36 is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28 in 0, -6087, 5, 2\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 11512547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**3 + 2*t**2 - 2*t + 1. Let k be w(1). Let h = k + -2. Find the second derivative of -h*b + 0*b**3 + 0*b**3 - b**3 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -234 (c) 376\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*y - 612*u + 610*u + 438 = 0, 0 = u + 3 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + -14 - 16 - 1?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 a when four letters picked without replacement from {u: 3, a: 7, n: 2, s: 3}?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 706, 703, 700, 697, 694, 691?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456294 and 7006?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1))**(-45)*v**(1\/6)\/v**(-5) assuming v is positive.\nAnswer: v**(301\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/4, -5, 0.1, 0.11, 91 in decreasing order.\nAnswer: 91, 1\/4, 0.11, 0.1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((0 - -2) + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y + 12*y = 9*w + 189, 5*y + 6 + 9 = 0 for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*v - 85. What is the remainder when 46 is divided by v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -739913*o**3 - 739946*o**3 + 1479824*o**3.\nAnswer: -35*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 692 = -l + 4198, 0 = 3*l - 2*r - 14671. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 1056*f**2. Let k(b) = -11*b. What is n(k(p))?\nAnswer: 127776*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 28*n - 17*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198*-443.\nAnswer: -87714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let s(w) = 4*w. Let b(i) = -9*c(i) + 2*s(i). Suppose 15 + 153 = -6*t. Let u = t - -26. Determine b(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95267, -94722, -93811, -92528, -90867, -88822?\nAnswer: -86387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 2:03 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97876, -97821, -97762, -97699?\nAnswer: -97632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 346699 + -1733494\/5. Factor -24\/5 + 2*g + t*g**2.\nAnswer: (g - 2)*(g + 12)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -1\/6*x**3 + 0*x + 0 + 1\/24*x**4 + 21*x**2. Give r(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31482 and 15444.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2336 is divided by 86.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w. Let q(h) = 4*h + 3. Let z(b) = -q(b) - 3*x(b). Let p be z(-5). Suppose -3*g = p*g - 185. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-355)\/(-10)*(5 - 3). Let c = j - -7. Calculate the remainder when c is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1411525?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 - 9*v + 10. What is the smallest common multiple of 280 and c(-6)?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -25*((-6)\/15)\/(-1). Suppose -3*k - 3*s + 12 = 0, -5*s - 22 - 28 = -5*k. Calculate the remainder when k is divided by 18\/5 - u\/25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/3)\/k*k*k\/((k**(1\/8)\/k)\/k)*(((k\/((k*k**(2\/5))\/k))\/k*k)\/k)**40)**(-11) assuming k is positive.\nAnswer: k**(3289\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 7016?\nAnswer: 42096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 29*v**2 - 609*v + 1207. Calculate h(19).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/669660 and -91\/1339320.\nAnswer: 1339320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(-2\/5))\/((z**4\/z)\/z))\/(z\/(z**(-1\/14)*z)*z**12))**(-32) assuming z is positive.\nAnswer: z**(14192\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uunwnuknkwkkgnnu. Give prob of sequence uwkw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 12:01 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6272?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdsmqs. What is prob of picking 1 q and 1 s?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -377*h**2 + 319*h + 21. Give r(1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -22*n + 22. Suppose 13145 = -16*t + 13337. Let y(v) = -9*v + 9. Calculate t*y(l) - 5*s(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1509006, -1509008, -1509008, -1509006, -1509002?\nAnswer: -1508996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26052763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 40\/18 + (-4)\/18. Suppose w - 56 = -v*w - 4*k, k + 14 = w. Factor -4*a**2 - 5*a**3 + 18*a - 37*a**3 + 18*a**4 + 13*a - w + 9*a.\nAnswer: 2*(a - 2)*(a + 1)*(3*a - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-26)\/y)\/y**(-4\/9))**47 assuming y is positive.\nAnswer: y**(-11233\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 170, 2, -2, 6 in increasing order.\nAnswer: -2, 2, 6, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3584404 divided by -2\nAnswer: -1792202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, r: 1, k: 1, e: 1, z: 2, b: 2}. What is prob of sequence brke?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(60)\/sqrt(5))*2)\/(sqrt(66)\/(sqrt(55)\/sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 198443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + 7 + 0\/(-2). Suppose -3*r - 6 = u + x, -r - 3*u + 5 = 0. What is the third smallest value in -5, 2\/17, r?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*y = 4, 17*s + 1 = 16*s - 4*y. Suppose 8*m - 89 = 5*m - 4*v, -m - s*v = -38. Sort -4, m, 2, 5 in decreasing order.\nAnswer: m, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzgpwtwgpgtw. What is prob of picking 2 g?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than 20862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x. Solve 0 = -x*b - 3*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + ((4 + sqrt(112) + sqrt(112)*3)**2 - (-3*(-2 + sqrt(112)))**2) + (((sqrt(112)*1)**2 - sqrt(112)) + -5 - sqrt(112))*5 + 2).\nAnswer: -1296 - 232*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/(20\/16) - 7 and 18\/97.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*q - 8*m - 12, -q - 4 = 3*m. Let x be (15 - -1)*q\/8. What is the second derivative of 2*a - 26*a**x - 6*a - 2*a - 5*a wrt a?\nAnswer: -312*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0.6, -1\/5, -251\/14 in descending order.\nAnswer: 4\/3, 0.6, -1\/5, -251\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waejwajaswjwwjj. Give prob of sequence swje.\nAnswer: 5\/6552","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 1166 divide 610695998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 80 and 110?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320)*2 - sqrt(320)) + sqrt(320) + 4 + sqrt(320) + -5)*-2)**2 + 2 + 3*(0 + sqrt(125))*-5.\nAnswer: -267*sqrt(5) + 11526","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a millisecond in microseconds?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**3\/6 - 12*k. Let p(j) = -25*j. Calculate p(q(w)).\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*y = 39, -2*a - 1070*y = -1069*y - 9 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -528*s + 116*s**3 + 528*s - 28*s**3.\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 229*l - 25 + 45 - 20 as m*l + q and give m.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1261 (b) -10 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 v, and 1 e when three letters picked without replacement from vvvgggvev.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 71432\/160 + (2 - 4) - 5. Let p = a - 1791\/4. Let d = -228 + 10489\/46. What is the common denominator of p and d?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 83*x + 652. Is 7 a factor of j(57)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77720 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 22526*16\nAnswer: 360416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-280)\/42*(6\/5 + 0). Let b(n) = n**2 + 7*n - 1. Calculate b(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4312.909 * -45\nAnswer: 194080.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -5*y + 13. Suppose 4*u + 5*n = -16, u + 2 + 11 = n. What are the prime factors of w(u)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - 68\/(-10))\/(3\/(-15)). What is the biggest value in 4\/3, d, 11, 0.4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2021455 - -2021453.83000768. Let q = -1.17 - f. Round q to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14082*z**2 - 31183*z + 909917002 wrt z?\nAnswer: -28164*z - 31183","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41.8251 + -0.0251. Let y = a + -167.4. What is y rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = 10*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**2 + 25*v - 10. Determine b(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-67)\/(-67) - (-28 + -2). Put f, 0, 1 in decreasing order.\nAnswer: f, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times -7\nAnswer: 7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.63315 - -0.23315. Let y be 1 - (-2 - (-2)\/(-2)). Which is the nearest to i? (a) 0.04 (b) 4\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t - 3*t + t**2 + 0*t - 11. Suppose 10 = 4*n + 2*u, 3*n - 5*u + 19 - 7 = 0. Let k be ((-4)\/(-2) - n) + -1. Calculate d(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*k + 594 = 206*k for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 b when two letters picked without replacement from ubedozz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 5:01 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -5\/6*m**3 - 1\/12*m**4 + m**2 + 0 + m. Suppose -2*k + 64 = -3*k + 6*s, 0 = 5*s - 28 - 22. Calculate v(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -4 (c) 9.4 (d) 43\/829\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 0.167, 0.048, -3\/5, 7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1103 (base 4) in base 3?\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bhe when three letters picked without replacement from {b: 1, e: 3, h: 3, r: 5}.\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + 90. Let n = a - -15. What is the units digit of (-50)\/n - (-4)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50.2 + 50.19998971. What is n rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7\/(d\/((d\/(d\/d**(-2\/11)))\/d))*d**5*d**(-1))**32)**(-7\/2) assuming d is positive.\nAnswer: d**(-10864\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/10 and -25\/7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -60.8 + 66. Let t = -67.90989 - -62.709759. Let a = t + r. What is a rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*h = 616 - 1992 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*m**2*y**3 + 7599*m**2 + 7092*m*y**2 + y**3 - 13248*y**2 + 5591*y + 2 wrt m?\nAnswer: 4*m*y**3 + 15198*m + 7092*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5*f + 4. Let g(j) be the second derivative of 11*j**3\/6 + 9*j**2\/2 - 5*j. Let u be -5*4\/((-4)\/3). Suppose -2*h + u = 3. Determine h*g(t) - 13*a(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.477, 0, -1\/3.\nAnswer: -3, -0.477, -1\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/45 - (-172)\/(-60)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19258, -19244, -19230, -19216?\nAnswer: -19202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 9:22 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 5*l + 7. Let s be f(2). Let p = 7 + -2. What is the third biggest value in p, s, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56*b**5 - 3462899*b**3 + 2*b**2 - 8941788*b + 2.\nAnswer: 3360*b**2 - 20777394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 14, q: 1}. Give prob of sequence vvvq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, 2, 4 in descending order.\nAnswer: 4, 2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t + 6*t + 28 + 3*t.\nAnswer: -t + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r + 36. What is the smallest common multiple of s(0) and ((-22)\/3)\/((-172)\/1032)?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26.5 and -179?\nAnswer: 152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9868*f - 6. Let c(a) = -9873*a - 5. Determine -5*c(u) + 4*p(u).\nAnswer: 9893*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107 - -56.5. Let t = k + 50.8. Suppose -m = -3*q + 13, -3*m + 5*q - 36 = -9. Which is the third smallest value? (a) m (b) t (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times 136\nAnswer: -217.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 171369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1100001111000000100 (base 2) to base 15\nAnswer: 7dbba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8756600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8513 - -56?\nAnswer: 8570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1745 + 423074?\nAnswer: 424819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.04 - 0.06. Let x = d - -3.1. Let h be ((-20)\/(-12))\/((-5)\/(-2)). Which is the second biggest value? (a) x (b) h (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 2:57 PM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -111 - -134. Let i = 23.00000265 - c. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b**3 + 5*b**2 + 211. Let h(r) = r**3 - r**2. Let g = -419 - -418. Let o(w) = g*u(w) + 4*h(w). What is the first derivative of o(j) wrt j?\nAnswer: -9*j**2 - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8877072 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from wqgwqg?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*n**3 + 47*n**3 - 21*n**3 + (-3*n**3 - 3*n**3 + 4*n**3)*(1 - 4 + 5) - 2*n**3 + 3*n**3 + 2*n**3 in the form i*n + v*n**3 + j*n**2 + y and give v.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 129660 = 5*v, -18*v + 17*v + 3*u + 25944 = 0. List the prime factors of v.\nAnswer: 2, 3, 29, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120, -259, -414, -591, -796, -1035, -1314?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-114))\/4*(-1)\/1.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7253748g?\nAnswer: 0.0000007253748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*r**5 - 82*r**2 + 7087*r wrt r.\nAnswer: 540*r**3 - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1017*z = -1000*z - 48399. What is the thousands digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/(-8)*(204\/68)\/((-2)\/(28\/(-21)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 754\/9 - 84. Let s = -3.95 - 0.05. Let g = 174390 + -174388. What is the biggest value in -0.5, m, s, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 306*g - 702. What is the thousands digit of i(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52654 - 264386\/5. Let r = u - -222. Is -2 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 - 43.000262. Round k to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -222 by -4.\nAnswer: 111\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 4*w = -4. Let p(o) = -15*o**w + 11*o + o**3 + 3 - 11*o**2 + 23*o**2 - 9*o. Calculate p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 81 and 27.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -12*c + 11*c - 51 + 52. Suppose 4 = 2*r - 3*r. What is y(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 154 - 154)*(-3*f**2 + 0*f**2 + 2*f**2).\nAnswer: 8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3 = -n, 2*n + 3*x = 13 + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -4 (c) -1\/2 (d) 2 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 292983 and 389.\nAnswer: 113970387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4887620?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-1*sqrt(17) + -4)**2 - -5*(sqrt(51)\/sqrt(3))**2)*-1 + 5.\nAnswer: -113 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 6:47 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 116\/5 + 1\/(-5)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -35 (b) 7 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 216 and 4026\/231 - (-4)\/7.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -5*t - 1, 4*p + 0*t = -t - 4. Let k be ((0\/p)\/(-4))\/1. Let u(a) = 6*a - 4 + k + 4. Let y(d) = -d. What is u(y(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + u + 2. Let i be 56*(2\/(-4) + 1). Suppose -3*g - 2*p + 9 = 25, 2*p + i = -5*g. Let t be 5\/3 - 2\/g. Give n(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/31)*d*d\/d**(-6)*d**(-2\/7)\/(d*d**(-5)) assuming d is positive.\nAnswer: d**(2528\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1*-4 - ((sqrt(325) - (sqrt(325) + sqrt(325) + -2)) + sqrt(13)))**2.\nAnswer: -32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -171391\/929 at most -185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*i + 109*i - 57*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a**2 + 2*a**2. Let j(m) = -m**2 - 1. Let u(p) = 2*p**2 + 6. Let q(w) = -w. Let d be q(-1). Let v(n) = d*u(n) + 6*j(n). What is v(o(t))?\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(4)\/sqrt(2))*4 + ((-5 + sqrt(22)\/sqrt(11))**2 - sqrt(2)).\nAnswer: -11*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/8, 3\/4, 4\/7, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -8*g**3 - 272*g**2 - 252*g - 12. Let r(a) = -3*a**3 - 109*a**2 - 101*a - 5. Let q(l) = 5*n(l) - 12*r(l). Determine c, given that q(c) = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (236\/(-590))\/(((-18)\/(-285))\/6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2786218 - 0?\nAnswer: 2786218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 11*r**2 + 14*r - 7. Let x be d(10). Let o = x + -33. Solve o = 5*g + 5*j + 15, -3*j + 1 = -3*g + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Let v(j) = 1 + 4*j + 9 - 5 + 1. Let c(g) = -v(g) - 5*y(g). Calculate c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, b: 5}. What is prob of picking 1 z and 1 b?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2104?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, i: 1, u: 1, k: 5, b: 1}. What is prob of sequence ib?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**2 + 1859 + 1921 - 3765.\nAnswer: -12*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3230422333 (base 5) to base 11\nAnswer: -3985972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -389333 <= -389333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 5)*-1 + 927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1981827119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 4:51 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 29*o - 250. Let f be q(36). Suppose -4 = r + 3*r. What is the nearest to r in -0.1, 2\/15, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-132366)\/(-91) + (-3)\/(-7) - -3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = m + 10*m. Suppose 4*w - s + 0*s - 54 = 0, 5*w = 2*s + 69. What is the remainder when w is divided by m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + d + 2. Let u(o) = -o**2 - o + 1. Let p(q) = t(q) - 2*u(q). Find the second derivative of p(z) wrt z.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -10\/17*l**4 - 706\/17*l**3 - 7070\/17*l + 4900\/17 - 12666\/17*l**2 = 0.\nAnswer: -35, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + 2 + -4 + 12?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1745043?\nAnswer: 3, 59, 9859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 48\/(-60)*3*10\/(-3). Let k = 18 + -9. Suppose -4*t + 3 = -k. Solve 0 = -4*z + z + 4*b + d, 14 = t*z + 2*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**4*m**2 + 38*j**3*m**3 - 60*j**3*m - 72910*j**2*m - 2*j*m**3 wrt j?\nAnswer: -24*j*m**2 + 228*m**3 - 360*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4))\/(2 - -2 - 3)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -127, -133, -149, -181, -235, -317, -433, -589?\n\"Answer: -z**3 + z**2 - 2*z - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 641 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 81*t**2 - 114. Let x(g) = -16*g**2 + 23. Let y(m) = 2*f(m) + 11*x(m). Differentiate y(c) with respect to c.\nAnswer: -28*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6170 is divided by 1935?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87226 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 2736060 = 1199432. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.94254 - 0.10554. Round g to 1 dp.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:46 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3115673241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153.8 + -49.2. Let b = s - -231.4. Let h = 34 - b. Round h to 0 decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 125 = -53. Solve -17 = 4*u - 16*z + 11*z, 0 = -b*z + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + v**2)*(-v**2 + 11*v**3 + v**2) + 2*v**5 + 2*v - 2*v.\nAnswer: -9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11913 is divided by 149.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/27 - 56\/(-6). Differentiate -r + 3*r - b + 10*r - 5*r with respect to r.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.08 + 0.38. Suppose 5*n - w = -3, -n = -0*w - 5*w - 9. Which is the closest to n? (a) 1 (b) x (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/1)\/((-8)\/(-52)). Let x = -6 + q. What is the derivative of 5 + 0 - 6*m + x*m + 2 wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 249095\/10 + 4 + 8 + 57\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -313401 - -45a?\nAnswer: -312a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2333, -9301, -20911, -37169, -58081, -83653, -113891, -148801?\nAnswer: -188389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2790006\/9 - 4\/6. Round p to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 4:07 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2847*j**3*s**2 + 434*j**2*s**2 + 20101765*s**2 wrt j.\nAnswer: -8541*j**2*s**2 + 868*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 681929.8 centuries?\nAnswer: 68192.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 793*k = -792*k + 4, 3*n + 59 = 4*k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 10:45 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4 - -42)*2\/4. Find the first derivative of 27*h + h**4 + 14*h - 24*h + i wrt h.\nAnswer: 4*h**3 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 7, 2\/3.\nAnswer: -3\/4, 2\/3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, z: 3, b: 4}. What is prob of sequence yy?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cd (base 14) to base 3.\nAnswer: -20201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1682 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + 1 + sqrt(847) + 3 + sqrt(847) + 4).\nAnswer: 10 + 44*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -18*q**2 - 5. Let l be v(3). Which is bigger: l or -335\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2334 + -2333.9. Which is the closest to -2\/3? (a) 3 (b) i (c) -8 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -556 (base 9) to base 11.\nAnswer: -385","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1858 - -1901. Which is smaller: 4 or d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m. Let k be u(-1). Let l = 3 + k. What is the biggest value in l, 1\/3, 3, 0.01?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + 0)*(-2 - -1). Let u = 15.65 + -16. Let q = 0.05 - u. Which is the closest to w? (a) -2\/5 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3247569708 to the nearest integer?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 241 and 248 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 2, z: 2, f: 2, k: 1, a: 4}. What is prob of sequence axk?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-3)*22\/33. Let n = 0.1 + -0.1. What is the nearest to n in 4\/7, o, 6?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 126 - 64 = -5*p, -5*p + 91 = 2*k. Let v = -21 + k. Suppose 9130*h - 9122*h - 96 = 0. What is the greatest common factor of v and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -0.2 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/3)\/((-130)\/5). Which is bigger: 1 or s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microsecond in nanoseconds?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 5*d**2 + 6*d + 14. Let i be q(-5). Let a = i + 729. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 6*l - 3. Let r be t(5). Suppose -w - 2 = -4*j, r*w + 5*j = 3*w + 6. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d - 2544 = -32*d. Is 17 a factor of ((-34)\/4)\/((-24)\/d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6099*p + 739. Let z(n) = -3050*n - 341. Calculate 6*m(s) + 13*z(s).\nAnswer: -3056*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/120 - 2*l**5\/15 - 5*l**3\/6 + 1189*l**2. Let v(f) = -f**3 + 7*f**2 + 5. What is -5*k(q) - 6*v(q)?\nAnswer: q**3 - 2*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 325 = -6*c - 469 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-40)*(2 + -5). Let j = 24 - 29. What is the nearest to -1 in x, j, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ynnnnynnnnny?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/2 - 546*u**3 + 61446*u**2 - 1992144*u.\nAnswer: 3*u*(u - 154)**2*(u - 56)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 261, 1, -3.\nAnswer: -3, 0, 1, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2562, -2\/33, -0.213?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-118)\/(-10))\/((-1)\/(-5)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*l + 4*w - 219 = -100*l, -4*l + w + 292 = 0. Is 66 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2))\/(u**(-1\/4)\/u))\/(u*u**1*u*u*u*u)**42 assuming u is positive.\nAnswer: u**(-991\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2153, 2134, 2101, 2048, 1969?\n\"Answer: -d**3 - d**2 - 9*d + 2164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.6 + -2.8. Let l = -1.6 + j. What is l rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76351 and 3155.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4592*i**3 - 13 + 16411*i**3 - 4585*i**3 - 7237*i**3.\nAnswer: -3*i**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r**2 + 11. Let x(b) = -3*b**2 + 4. Let v(f) = -11*x(f) + 4*y(f). Let p(a) = 2*a - 3. Let c(g) = 3*g - 4. Let q(t) = 3*c(t) - 4*p(t). Give v(q(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = -17*z + 27*z. Let s(l) be the second derivative of -1\/3*l**3 + l**2 + 1\/6*l**4 + 1\/20*l**5 + z - 5*l. What is s(2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -173542 by -3.\nAnswer: 173542\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-48)\/5*(-400)\/30. Let t be (-12)\/(-6) + (0 - a). Let p = 593 + t. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439319927292 + -0.246.\nAnswer: 439319927291.754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 2*c + 3*n, -4*n + 0*n = -3*c - 36. What is the remainder when (1037\/(-187) + -7*(-30)\/385)*-19 is divided by (6\/9)\/((-2)\/c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -39*c**2 - 20*c + 25. What is u(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 7090705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20548, -20516, -20458, -20368, -20240, -20068, -19846, -19568?\nAnswer: -19228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 434 and 1148?\nAnswer: 35588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/10582 and -5\/75658858.\nAnswer: 983565154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-135)\/10)\/9*-2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/3, 1\/549, 0.4, 0?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 0 + 0)*(2*s + 4*s - 4*s) - 3*s**2 + 0*s**2 - s**2.\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -11, 1\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 3*v - 3. Let u(r) = -r**3 - 6*r**2 + 4*r - 12. Let n be u(-7). Suppose -n + 15 = 3*s. Give c(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 487061.5 decades in years?\nAnswer: 4870615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -4*i**3 + 0*i + 0*i**2 - 20 + 7\/4*i**4. What is the third derivative of n(c) wrt c?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1722*x**4 - 2*x**3 - 3*x**2 - 7793?\nAnswer: -6888*x**3 - 6*x**2 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggltejdjtedete. Give prob of sequence dj.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32131113 (base 4) in base 5?\nAnswer: 3343343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 192, 729, 1622, 2877, 4500, 6497?\n\"Answer: y**3 + 172*y**2 + 14*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r + 0*r + (1 - 1 + 2)*(0*r - r + 0*r) + r + 0*r + 0*r + 2*r + 1 - 1)*(4 - 7 - 6).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*b + 82*p = -33*b + 67*b - 402, 4*b - 323 = 3*p for b.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**2\/2 + n - 322. Let s(m) = -m**2 + 6*m - 2. Give -2*r(g) - s(g).\nAnswer: g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m - 127 - 130 - 209 - 1167.\nAnswer: -11*m - 1633","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12342, -25663, -38998, -52347, -65710, -79087, -92478?\nAnswer: -105883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**5\/120 + u**4\/3 - 2*u**3\/3 - 1. Let g(b) be the third derivative of y(b). Let h be g(6). Solve 0 = x - h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Let j(l) = 151*l - 1. Let q be j(g). Suppose 3*a + q = 3*k + 2*k, -k + 5*a = -164. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-596 - 46*h**2 + 596)*(-3 - 2*h + 3) to u*h**3 + q + r*h + t*h**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 10, 18, 36, 70, 126, 210?\n\"Answer: p**3 - p**2 + 4*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65083 or 64994?\nAnswer: 65083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - 0.37. Let w = 132596.4 + -132596. Which is the second smallest value? (a) w (b) 5 (c) -3 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 0 - (1 + -3). Let f be 0\/(2 - (5 - o)). Let b be (-13)\/(-14) - (-1)\/(-2). Is b > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -8*t**2 + 534*t + 9816. Calculate b(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -10, 6, -1, 25, 0 in descending order.\nAnswer: 25, 6, 4, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 343988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + o - 4. Let p be c(0). Let u be 136 + (p\/2)\/2. Let r = -4 + 19. What is the highest common factor of u and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2201 - 1197. Suppose -5*o - l + q = 0, 0*l = 4*l + 4. Let k = o + -126. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90 (base 14) to base 8\nAnswer: -176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/529 or 0?\nAnswer: -2\/529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4 = -2*d - t, 0 = 2*d + 2*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10381\/63 + 4\/18 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-77)\/(-28) - (-2)\/8. Suppose c*f = f + 82. Is 16 a factor of (-1)\/(-2 - (-81)\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 215*d**3\/6 - 15*d**2\/2 + 13*d + 7. List the prime factors of p(3).\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 7*g - 7. Let d = -11 - -2. Let f = 9 + d. Suppose f = 3*y - 12, 4*z - 5*y - 8 + 52 = 0. Give p(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/2921427 and 59\/8439678?\nAnswer: 75957102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 423322970 to the power of 1\/2, to the nearest integer?\nAnswer: 20575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 5*m**2 - m - 11. Let z be g(3). Suppose 2*h = -30 + 18. Sort h, 0, z, 9 in descending order.\nAnswer: 9, z, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 65*a**2 + 26*a + 29. What is the thousands digit of o(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 68 - 24. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 52?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000195532 rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 17789 times 28\nAnswer: 498092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 12*p + 24. Suppose 9*m - p*m - 5 = 0. Let b(l) = 2*l**3. What is b(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56900482 or 56900485?\nAnswer: 56900485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2006 - -485. Is -1520 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1443 - -1443.4. Which is the third smallest value? (a) h (b) -5 (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaeaae. Give prob of picking 1 a and 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, v: 5}. What is prob of picking 2 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/6)*v)**(-10\/3)\/(v\/v**(3\/8)*(v*v**(1\/10)*v)\/v) assuming v is positive.\nAnswer: v**(-2021\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/71 and -125\/9582.\nAnswer: 680322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15673242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 110*g**2 + 45*g. Let j(m) = -10*m**2 + 0 + 2 - 48*m + 44*m - 2. What is 45*j(p) + 4*l(p)?\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 0 + (-4 + 5 - 2)*(-2 + 3 - 2) + 2 + 0 - 9)*(7*m - 13 + 13) - 2 + 2 + 3*m.\nAnswer: -46*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2096386.\nAnswer: 2, 1048193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 7, d: 3}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 20, 12, 2, -10?\n\"Answer: -z**2 - 5*z + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-1)\/3)\/2. Let s be (-53)\/(-28) + (-3)\/4. Sort u, -4, s in increasing order.\nAnswer: -4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 592 = 8*b - 640, -b = 5*h + 3 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (21 - 66) + 13 + -2?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1584) - (sqrt(1584) + -2 + sqrt(1584))))**2 + 3 - 5*(sqrt(704) + sqrt(704)*-3*-1).\nAnswer: -112*sqrt(11) + 1591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*q - 86*q = 3*v + 75, 3*q = -9*v - 219 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-886)\/(-9)*6\/(-4). Let j = 893\/6 + p. Let b = -11455 + 229177\/20. Calculate the common denominator of j and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -754.\nAnswer: -754.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 34, 2 in increasing order.\nAnswer: 2, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 24*q**2 - 57*q - 133. Let m be p(-26). Let v(z) = z + 0*z + 22 - 3*z. Is v(m) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36559 + 23*b**3 - 36559.\nAnswer: 23*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = 3*v - 14, 950*v - 955*v - 6 = m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 25, 0 = 3*z - 0*r - r - 100. Calculate the lowest common multiple of z and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 - -140. Let b(x) be the third derivative of -x**4\/4 - x**3 + 9*x**2. List the prime factors of b(w).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -817*k - 181372. Let m be w(-222). Factor 0 + 1\/4*q**2 - 1\/4*q**4 + m*q**3 - 2*q.\nAnswer: -q*(q - 8)*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 + 2*m**2 - m - 2. What is q(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -68, 82.9, 2\/15, -8?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 3) in base 2?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.193*-3714.73.\nAnswer: 716.94289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 + -1. Let r = -2.300184 + p. What is r rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.6 + 0.8. Let y = g - -4. Let w = -3.95 - -3.75. What is the closest to -2\/11 in w, y, -2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, o: 1, x: 4, c: 3, i: 1, t: 2}. Give prob of sequence so.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**2\/7 + 64*n\/7 - 640\/7 = 0?\nAnswer: -40, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 48*n + 202. Calculate s(-7).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**2\/9 - 4674688*k\/9 - 9349384\/9 = 0. What is k?\nAnswer: -2, 2337346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 24*l - 312. Let r be i(13). Let a = -25 - -30. Sort r, -4, a in ascending order.\nAnswer: -4, r, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/2 - 2. Let d be (-1 - 0)\/(2 + (19 + -18)*-3). Which is the nearest to d? (a) 5 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -6?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3697901 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.19, -1\/6, 5.\nAnswer: -4, -1\/6, 0.19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 60\/(7 - 2)*(-9)\/(-36). Let f(k) = 2*k**2 - 2*k + 4. What is f(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40438 is divided by 47.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r**4 + 131*r**3 - 131*r**3 - r**2 - r as k*r**4 + x + s*r + c*r**2 + y*r**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18712412*x**3 + 13383638.\nAnswer: -56137236*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -25*s**2 + 48490*s + 19400 = 0?\nAnswer: -2\/5, 1940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111100011001 + 10100101111?\nAnswer: -1100111101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1079.874874 to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*y + 172*y - 317*y + 275 = 0 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*3\/15 + 51\/105. Which is the nearest to -3? (a) 0.2 (b) t (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*l + 4. Let p(q) be the third derivative of 1\/6*q**3 + 0 - 5\/24*q**4 + 0*q - 32*q**2. Calculate p(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + 4 - (-13 - 0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2526, 10399, 23800, 42735, 67210, 97231?\n\"Answer: i**3 + 2758*i**2 - 408*i + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*k - 60 - 80 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (21\/(-14))\/((-36)\/200). Let j = n - 77\/9. Let v = 0.1 - 0. What is the closest to j in 2, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*g + 19301 = 0, -4 = 5*g + 1. Does 165 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4.962 (b) -0.16 (c) 2\/3 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1181*w + 18 = -1184*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 475664 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 89.15089 days?\nAnswer: 7702636896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-5)\/14*65086\/2045560?\nAnswer: -3\/88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - 14*w - 3. Let l be j(-13). Calculate the remainder when 25 is divided by (-6)\/l - 38\/(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.86 + 0.14. Let r = 4 - l. Which is the second smallest value? (a) r (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -37*m**3 + m**2 + 4*m - 1. Is s(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407 times 7328.1?\nAnswer: 17638736.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 34. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.5 - -2.9. What is the closest to -0.4 in d, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.2 (b) 0.1 (c) -2\/5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 + 0)*(-3 + 1 + 3)*(59*k**2 + 58*k**4 - 109*k**2 + 57*k**2) in the form j + a*k**2 + s*k**3 + f*k + n*k**4 and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109770*u - 109899*u = 3483 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**19*j*(j\/j**(-2\/33)*j)\/j assuming j is positive.\nAnswer: j**(695\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 2*g - 4*t - 6, 2*g - 5 = 5*t. Suppose 6441 = g*h - 409. Let d be (-256 - -6)*-8*h. What is d rounded to the nearest 100000?\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 11:22 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4456 is divided by 81.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*y + 49*y + 47*y - 7*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-2) + 5\/(-2). Let o = -2 - d. Let s be (2 - -13) + (-6)\/2. Solve -4*u + u + s = o for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5358 + -0.1358. Which is the closest to 2\/3? (a) 1 (b) v (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 4*w - 7 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) 0.07 (b) -4\/3 (c) -0.4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2. Let d(n) = n**2 - 27*n - 60. Let v be d(29). Let c(l) = -3*l**2 + l - 2. Give v*u(p) - c(p).\nAnswer: p**2 - p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w\/w**(1\/6)))\/w*w**(-2\/19)*w)\/(((w\/w**(4\/9))\/w)\/(w*w**(3\/4))))\/(((w**(-1)*w)\/w)**(-2\/3)*(w*w**(-1\/4)\/w)**47) assuming w is positive.\nAnswer: w**(2452\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + 4.07. Let j = f - -6. Let q = j - 8. Which is the third biggest value? (a) -0.1 (b) 5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 279 + -278.999992. What is f rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/9*(-15)\/10. Suppose 0 = -5*g + 34 - 9. Sort g, 4, i in decreasing order.\nAnswer: g, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-41)\/(6273\/(-68)))\/((-252)\/(-27))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -714008.3419955 - -714008. Let k = d + -31.6581745. Let y = k + 32. Round y to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a microsecond in nanoseconds?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -24 - (35 - 7)) + 7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s. Let l(r) be the third derivative of 17*r**6\/360 + 13*r**4\/24 + 4*r**2. Let q(m) be the second derivative of l(m). Calculate q(i(n)).\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -27*o - 10. What is a(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 542 and 362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Let v(a) = a + 13. Let x be v(-11). Let b(t) = 0*t**x - 2*t + 3*t - t**2 - 1. Give b(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**4\/5 - 1036*g**3\/5 - 276403*g**2\/5 - 828852*g + 884340 = 0. Calculate g.\nAnswer: -510, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c - 1. Let d be a(-1). What is the derivative of d*s - 21 - 11*s + 38*s wrt s?\nAnswer: 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3607*g**3 - 18*g**2 - 114*g - 1460. Let f be l(-14). What is f rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*((-50)\/20)\/((77\/42)\/11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 20086*f**2 + 791*f - 7155. Let d be q(9). Round d to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2303*o - 2178*o - 742 = 2883 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -3\/5071?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -130*s - 4*s**2 + 130*s + (2 - 1 - 2)*(-5*s**2 + 4*s**2 + 0*s**2) + 12*s**2 - 15*s**2 + 175*s**2 in the form j*s**2 + r*s + k and give j.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -6*u - 7. Let n(m) = 5*m + 7. Let s be 0 + 2 + (7 - 9). Suppose 5*f + s = -35. Let h(t) = f*n(t) - 6*d(t). Calculate h(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-5) + 8\/(-5). Let t be (-27)\/(-18)*4\/(-3). Is r at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 125 and 1517920?\nAnswer: 37948000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31 in -0.4, -29, 0.5, -188, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-2*j - j - 2*j)*(9*j - j - 3*j)*(-1 - 2*j**2 + 1) + (2 - 3 - 1)*(8 - 8 - 7*j**4).\nAnswer: -86*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -4*sqrt(2448) - sqrt(2448)) + 0)**2.\nAnswer: 550800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 1, -42 in decreasing order.\nAnswer: 4, 1, 0, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 50*x**3 + x**2 - x + 1. Give f(1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 3\/7, 2\/3, 0.05.\nAnswer: -1, 0, 0.05, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*y + 11, 3*y = -4*b + 7*y + 8. Let t = 73.9 - 74. Let i = -0.1 + 0.1. What is the nearest to i in 1\/6, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3538662, 14154638, 31847930, 56618538, 88466462?\n\"Answer: 3538658*c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 0*t**2 - t**2 - 8*t**4 + 6*t**4 to the form l*t**4 + o*t**2 + u*t**3 + q*t + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 6*m**3 - m + 5*m**3 + 9*m**3 + 1 to h*m**3 + z*m**2 + p*m + q and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6670 + -6674. Which is the smallest value? (a) -0.2 (b) s (c) 0.3 (d) 4 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 17*g + 84. What is the remainder when 2434 is divided by y(10)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 560 + -355. Let u = y + -205.03. What is the third biggest value in u, -0.07, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26909 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**2 + 3*z + 6. Let i(v) = 2*v**2 - 8*v - 17. What is 3*i(n) + 8*t(n)?\nAnswer: -2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 8, 19, 34?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1582 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5123, 13388, 35825, 79520, 151559?\nAnswer: 259028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -700880 divided by 5.\nAnswer: -140176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from zczcc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -17.9. Let d be -1 - ((-2)\/(-3))\/(-1). Which is the nearest to x? (a) -0.5 (b) 2\/5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.9 times -87.16?\nAnswer: -2693.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -4305?\nAnswer: -4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 231547 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 99 + -52. Let g = 49 - a. Suppose 2*t + 3*l = -g*t + 37, 2*t - 2*l = 22. What is the smallest common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31116 (base 10) to base 4.\nAnswer: 13212030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 64 = 64 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((((-80)\/10)\/24)\/((-2)\/(-2)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 76\/17 or 3?\nAnswer: 76\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-3 - -5) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (43 - (-26 - (9 + -5 + -22)))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 130 - 517\/4. Let k(y) = y**3 - 7*y**2 + 4*y - 5. Let i be k(6). Let r be -1*(i\/(-9) - 2). What is the second biggest value in r, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6232, 49917, 168494, 399409, 780108, 1348037?\nAnswer: 2140642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*p + 107*p - 18*p - 47*p - 1.\nAnswer: 61*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*-3)\/sqrt(2).\nAnswer: -30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100*j + 171 = -29. Solve i = 0, j*h + 1 = i + 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 2945.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -42, 1, -37 in descending order.\nAnswer: 1, -37, -42, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3 - 100018*a**2 - 8*a + 400072 = 0. Calculate a.\nAnswer: -2, 2, 50009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3.8 (b) -26 (c) -1\/5 (d) -5 (e) -10 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 58*q - 87. Let x(a) = -a + 1. Determine -v(n) - 87*x(n).\nAnswer: 29*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/9, -2\/5, -74, -5 in decreasing order.\nAnswer: 2\/9, 0.1, -2\/5, -5, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 1786784?\nAnswer: 1786784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*m - m + w, w + 7 = -3*m. Let d be 0 - -1 - (m - 0). What is the second derivative of -3*r - 2*r**5 + d*r + 3*r wrt r?\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 5:25 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 112\/105 - (-8)\/(-12). Factor y*n**3 + 0 + 0*n - 2\/5*n**2.\nAnswer: 2*n**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:06 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**2 + 86*m - 108. Determine q(34).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**3\/2 + 4073*d**2 + 16285*d\/2 - 12216 = 0.\nAnswer: -8144, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212 + 82 = 2*j. Suppose 0*a = -4*a - 5*d + j, 0 = 3*a + 5*d - 109. Let l = a + -21. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 460278236 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 11:11 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 + 17 = 0. Let x be 908\/t + 10\/65. Suppose -5*g + 102 = 2*h, -3*g + 0*h + h = -x. Calculate the smallest common multiple of 2 and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*r**2 + 22*r**2 - 19*r**2 in the form j + a*r**2 + x*r and give a.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 1. Suppose 4*s + c = 19. Suppose -2*x + 250 = 3*z - x, 4*z = s*x + 360. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4351, 17389, 39119, 69541, 108655, 156461, 212959?\n\"Answer: 4346*q**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1283948287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 9f0?\nAnswer: 9f4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -129145544, -258291086, -387436628?\n\"Answer: -129145542*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l - 2*l + 792*l**2 + 7*l. Let d be b(-1). Suppose -3*v + 538 = -d. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, l: 2, h: 1, k: 1, v: 1, j: 1}. What is prob of sequence lxvl?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3101*w - 1. Let k be r(2). Let o be -1 + 3\/2 - k\/(-78). Suppose -o = -3*n - n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -92, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o + 0*o - o - 2)*(116 + 0*o + 2*o + 3).\nAnswer: 4*o**2 + 234*o - 238","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -5*g. Let d be x(-1). Suppose -3 = -4*m + d. Suppose -5*j = -3*h + m, 4*j = -2*h - 3*h + 28. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of 2*u**3\/3 + 65*u**2\/2 - 7*u. Let f be c(-15). Suppose -2*j + f*b = -24, -4*b - 2 = 14. Solve -j*q + 3*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 452400 and 11310.\nAnswer: 452400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12\/475 - -13487\/11400. What is the common denominator of -67\/42 and k?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdfd when four letters picked without replacement from {d: 2, w: 3, o: 2, r: 2, f: 1, v: 4}.\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -22, -41?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 14 + 6. Let y be o + (-3 - (-2 + -1)). Solve -t + 1 = 0, y*d + 0 - 2 = -2*t for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r - 4*r + 4*r)*(-3 + 0 + 1) - 63*r + 5 + 31*r + 29*r.\nAnswer: r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/6 - 50*z. Let l(k) = -32*k. Give l(s(t)).\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a meter in centimeters?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13180\/1161 + -434\/43. What is the common denominator of 4\/5 - -1*355\/75 and w?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 7*g**2 - g - 1. Calculate n(-4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*v**2 - 28*v + 1 - v**3 + 24*v**2 - v**3 - 29*v**2 + 19*v**2 to the form w*v + h + b*v**2 + q*v**3 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.35 - 0.29. Let f = 2\/513 + 332\/2565. Let q = -97\/9 - -11. Sort j, q, 4, f in decreasing order.\nAnswer: 4, q, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5347 - -5365. Let y(q) = q**3 - 18*q**2. Calculate y(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -120?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 - 9*g - 13. Let p be f(-6). Let l be (44\/p)\/((-8)\/(-20)). Calculate the greatest common factor of l and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 9*f**2 - 7*f - 7. Give x(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 261*f**2 - 20*f - 5. Let g(y) = 391*y**2 - 31*y - 8. Calculate -5*g(r) + 8*i(r).\nAnswer: 133*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*u - 4 - 8*u**2 - 179*u + 4.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 3:24 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.3 - 1.2. Which is the nearest to s? (a) -3 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hcgcw. What is prob of picking 1 h and 2 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2 = 3*u, 4*d = -3*u + 814. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = -6. Is (u\/2)\/(2\/44) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 90 and 810?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 8*i**2 - 1223*i + 4601. Give m(149).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 144207864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.2. Let h = 1.409 + 2.591. Sort -0.06, t, 0.2, h.\nAnswer: -0.06, t, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4174579 + -3497.0102.\nAnswer: 4171081.9898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a + 4 - a - a - a**2. Let t be k(-8). Suppose 4 - 8 = t*x. What is the nearest to 2\/3 in 0.3, x, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 15*k - 1. Let c(n) = -76*n + 9. Let m(z) = 5*b(z) + c(z). Calculate m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 19\/3*v**3 + 0*v**2 + 0*v - 16. Let m(t) = -4*t**2. Calculate x(m(z)).\nAnswer: 304*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -5*j + k, 0*j - j - 5*k = -19. What are the prime factors of j?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 + 103*s - 59. Let j be r(25). What is the highest common factor of 324 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9143 and -0.2.\nAnswer: 1828.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 28 (b) -123 (c) 24 (d) -2\/11 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 11. Let a(j) = -10*j**2 + 5400*j - 1458055. Let z(c) = -a(c) + 5*n(c). Factor z(t).\nAnswer: 5*(t - 540)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8*t. Let h be x(3). Find the common denominator of 29\/4 and ((-1314)\/h)\/(6\/(-4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from qqtqqqtqqtqtqqqtkq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1757085, 1757197, 1757311, 1757427, 1757545, 1757665?\n\"Answer: a**2 + 109*a + 1756975","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3809 is divided by 3806?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a hour in seconds?\nAnswer: 11700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veqwvwwwwwvw. What is prob of sequence vev?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37617886?\nAnswer: 2, 18808943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 5 = -2*u, 1 + 2 = -2*u - 3*r. Suppose 28 = -u*d - 2*d. What are the prime factors of 4\/d - (-79)\/7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 + 222*w + 189*w + 6*w**3.\nAnswer: 2*w**3 + 411*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -17*o**3\/3 + 5. Let k(u) be the third derivative of 0*u + 0*u**4 + 11*u**2 + 0 + 0*u**3 + 1\/20*u**5. Calculate k(p(s)).\nAnswer: 867*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 62942797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1722518)\/44*(-3)\/(-7). Let a = j + 16782. Find the common denominator of 27\/2 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 51*o**2 - 14*o - 7. Let g(b) = 73*b**2 - 20*b - 10. Let d(a) = 7*g(a) - 10*n(a). Let f(u) = -122*u**2. Determine f(d(j)).\nAnswer: -122*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 + 42*j - 21. Let z(a) = -7*a**2 - 51*a + 20. Let q(y) = 6*r(y) + 5*z(y). Determine q(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from kkkaqqkkkqkaqqakqakk?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 7, 30385.\nAnswer: -3, -1, 7, 30385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 608 + -629. Let u(q) = -30*q**3 - 21*q. Let d(h) = -3*h**3 - 2*h. Determine w*d(o) + 2*u(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43475 and 74025.\nAnswer: 2738925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 10*j**2 - 14*j - 1. Let c be f(-5). Suppose 2*b - c = -1. Does 53 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.2 (b) 1 (c) -123.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ylo when three letters picked without replacement from lyo.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752810189?\nAnswer: 752810189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*t**3 - 152*t**2 + 18*t**3 - 41*t**3 - 9*t**3 + 153*t**2.\nAnswer: -68*t**3 + t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssrrtrrrttyjds. What is prob of picking 1 d, 1 y, and 1 j?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 + 4*k - 875*k**2 + 4*k**4 - 4*k**3 + 3*k**4 + 2 + 876*k**2 to the form z*k**3 + b*k + r + w*k**4 + v*k**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 + 4\/(-8). Let a be (c - -5) + 0\/1. Solve -a*b + 16 + 0 = z, 0 = 4*b - 3*z - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-24 - -12) + (1 - -2)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**5\/7 - 8216*p**4\/7 + 8446012*p**3\/7 - 16735984*p**2\/7 - 126739902*p\/7 + 303466248\/7 = 0.\nAnswer: -4, 3, 2053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2516 - -1?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 1:53 AM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.40371 * -0.1.\nAnswer: -4.040371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + -3 + 0 + sqrt(1088) + (-4*sqrt(1088) + 5 - sqrt(1088)))**2*-3.\nAnswer: -29388 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 63 + -35. Let z be o - 8\/(0 + 4). Let m = z + -34. Which is the third biggest value? (a) -3 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -49, -45, -41?\n\"Answer: 4*o - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 93072829 divided by 2270069?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j - 21. Let a be h(9). Let d be (-1)\/(2\/(-78)*-3). Is a\/(-26) + (-2)\/d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**3 + 66*b**2 - 59*b - 128. What is the remainder when 60 + (1 - 0) + 1 is divided by r(32)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 PM and 5:29 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 126. Suppose 10 = -h - 5*y - 3, c*y + 12 = 0. Solve -h = -2*z - f + 2, -7 = -2*z - 3*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10142 + -10148. Let u(l) = -41*l - 258. Determine u(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4\/3, 93\/7, -2, 0.3 in descending order.\nAnswer: 93\/7, 0.3, -4\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824 = 17*d - 16*d - 58*d for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (50\/5)\/(1\/9). Let o(n) = 6*n**3 - 2*n**2 - 3*n + 2. Let p be o(2). Calculate the greatest common divisor of p and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/8 - (-94)\/4. Suppose x = -x + d. Suppose 3*q = 51 + x. What is the highest common factor of 84 and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (150\/20)\/(3\/30). Let z be (0 + -1)\/((-2)\/12). Suppose 0 = -g - 4*s - 14 + 37, 3*s = z. Calculate the greatest common factor of m and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(45) + -4*sqrt(605).\nAnswer: -56*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 71, 261, 737, 1643, 3123?\n\"Answer: 24*m**3 - m**2 + 25*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78\/(-468))\/(4 - 5815\/1460) - -10?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**3 + 120138*n**2 - 480588*n + 480600 = 0. Calculate n.\nAnswer: -40050, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (14 - (0 - -2))\/2. Let n = h + -4. Suppose 5*z + n*m - 6 = 0, 4*m = -6*z + z + 12. Solve z = -5*s - 7 - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*s + 48*s + 282 + 818 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i + 98 - 50 - 49)*(-2 + 2*i**2 + 2)*(0*i + 0*i - i).\nAnswer: -16*i**4 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8388, -8271, -8152, -8031, -7908?\nAnswer: -7783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/1 + 4 + -1. Let c be (5 + x)\/((-9)\/(-87)). Suppose q + 3 = 2*q, 4*h - c = q. What is the remainder when 13 is divided by h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 20. Let w(y) = 4*y + 2. Let x be w(-3). Let p = f + x. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 3. Let y be j(3). Suppose 5*d + y*d - 30 = 0. What is the remainder when 10 is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 34 + 9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 - 46*f**2 + 52*f - 313. Let h be x(45). What is the biggest value in h, -0.076, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 1, v: 1, m: 1, h: 1, t: 2}. Give prob of sequence rmv.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000277441 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -5 - (-4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -75\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4610634892 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (3 + 1*((sqrt(684)*2 - sqrt(684)) + 5))*-2)**2*-5.\nAnswer: -15300 - 2160*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 816 and 544?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -35422 (base 6) in base 8?\nAnswer: -12006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.0470848 millilitres?\nAnswer: 0.0000470848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 44. Suppose 57 = 5*b + v. Suppose 0 = -0*t - t + b. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-7)*1*1\/8*-116.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 22*m - 4. What is s(20)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kvvr when four letters picked without replacement from rvrkrvv?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-123*q**2 - 49*q**2 + 45*q**2)*(0*q**2 + 3*q**2 + 3*q**2) to a + j*q**3 + m*q**2 + i*q + o*q**4 and give o.\nAnswer: -762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*i - 15 = -3*i, 2*m - 25 = -5*i. Suppose -4*h = -m*h. Solve -5*y - 2*n = h, -2*y - y + 4*n = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*y = 11, h - 3*y = -y - 5. Let q be h\/(1\/15*3). Solve q*m + 2*t = -t + 8, -3*m + 4 = 2*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-2)\/3)\/((-10)\/(-25))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*d - 4*i = -72*d + 70, 5*d - 4*i = -5*i - 0*i - 130 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4543 + 310?\nAnswer: -4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*((((t\/((t\/t**(3\/22))\/t))\/t)\/t)\/t)\/t*t)*t**(1\/6) assuming t is positive.\nAnswer: t**(67\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1 - 12*k - 3 + 2. Let o(i) = -i**3 - i**2 - 2. Let t be o(-2). Suppose -t*r = -4*r - 2. Calculate j(r).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42874693*v**3 - 36*v**2 + 402*v - 19.\nAnswer: 257248158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = a + 38, 5*a + 3*m + 167 = -0*a. Is (-4 + 215)\/((-2)\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.4198 to 1 decimal place.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 10 = -284. Let v be 84\/(-8)*(-6)\/m. Let 2*j + 0*j**2 + 4\/3 - 2\/3*j**v = 0. Calculate j.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)*(p\/(p*p\/(p**6\/p)))\/p*(p\/(p*p**(-1\/2))*p)**0)\/(((p\/p**(-2)*p)\/(p**(-2\/11)*p))\/(p*p**(2\/7))**27) assuming p is positive.\nAnswer: p**(13372\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k - 347. Calculate i(-42).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, d: 1, r: 2, x: 2, i: 3, y: 3}. What is prob of picking 1 x and 1 i?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 6:49 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*r - 48 = -r, 0 = d + 3*r - 16. Suppose -d*n = -12*n + 478. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**3 + 8*p**2 - 3*p - 9. Let a be i(7). Let c = a - -12. What is the remainder when c is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/3, 132, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256785, -256801, -256839, -256905, -257005, -257145, -257331?\nAnswer: -257569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:44 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/3503456 and 83\/15064.\nAnswer: 24524192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206*g*t**2 + 454*g*t + 2*g - 34*t**5 + 2*t + 2 wrt t?\nAnswer: -412*g - 680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/31 (b) -0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, 0.4, -5, 79?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1662 by -6.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1014530 (base 7) to base 5\nAnswer: 12343223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1175451 and 303.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6327 less than or equal to -6324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 55517490 divided by -11103498\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 6 = 9. Suppose 8*q - 132 = o*q. Calculate the smallest common multiple of q and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 816 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i + 21 - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -420 by 84.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0)*(3*h**4 - 2*h**4 + 0*h**4) + (h + h - 3*h)*(2*h**3 - 5*h**3 + 0*h**3).\nAnswer: 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -93 (b) -1\/4 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 - -5 - (-139 + 173).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*f - 150 = 0, -3*y = -2*y + 2*f - 32. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 17\/((-10)\/4 + 3). Let u = 9 + y. Is 23 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60487, -60486, -60485, -60484, -60483?\nAnswer: -60482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-22)\/(484\/(-154)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = f + w - 5, 0 = -3*f + 4*w + 16. Suppose 3*p - 4 = -5*n + 2, 3*n - f = -3*p. Solve p*q = -0*q + 28 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 13. Suppose -k*v = p - 5, 2*p - 25 = -3*p - 2*v. Let q(j) = -j**3 + 7*j**2 - 6*j - 3. What is the units digit of q(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of -1\/24*u**4 + 0*u - 1\/3*u**3 + 17*u**2 + 0. Let b = 0 - -3. Calculate v(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (r**3 - 6*r**3 + r**3)*(2*r + r - 5*r)*(24 + 21 - 7) to the form a + k*r**4 + f*r**3 + g*r + u*r**2 and give k.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 - ((-5 - -3) + -7)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*s - 6*s + 470, 0 = -u + 1. What are the prime factors of s?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 74717324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l + 6. Let d be g(-3). Let b(w) = w**3 + 5*w**2 - 6*w + 3. Let s be b(d). What is the third derivative of 5*m**3 - 3*m**3 + 2*m**s + 6*m**2 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 70609 and 0.3?\nAnswer: 70608.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1476 and 1412286.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/4 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -94\/128793 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/25? (a) 0.288 (b) -3 (c) 3272\/11 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4347 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 c when four letters picked without replacement from {n: 8, c: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106666\/3*h - 321602\/9 - 2\/9*h**3 + 178*h**2 = 0.\nAnswer: -1, 401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*v - v = -12, -v + 24 = 2*f. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-10))\/(1\/5). What is the tens digit of (3\/p)\/(3\/34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1510 is divided by 94?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -23*r**3 - 13*r**2 - 8*r. Let g(z) = 23*z**3 + 14*z**2 + 9*z. Let y(m) = 3*a(m) + 2*g(m). What is the third derivative of y(t) wrt t?\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 25.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1234 (base 5) to base 15.\nAnswer: ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 108\/55?\nAnswer: 108\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 7, s: 6}. What is prob of picking 1 s, 1 t, and 1 u?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20547*d**2*x**4 + 893*d**2 + 4*d*x**2 - 2*d*x + 3*x**3 + x**2 wrt x?\nAnswer: 493128*d**2*x + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 8*t**2 - 6*t + 30. Let a be n(-9). Suppose 2*k = -a*p + 37, -2*k - 42 = -4*p - k. Calculate the least common multiple of 10 and p.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*b**2*w - 7804*b*w - 2*w + 31448 wrt b.\nAnswer: 8*b*w - 7804*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180*r*x**2 + 4*r*x + 5*x wrt x?\nAnswer: -360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 64\/9 + -637\/90. Let q(j) be the third derivative of 0 + 0*j**4 + 1\/3*j**3 - s*j**5 + 0*j - 3*j**2. Suppose q(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/2 - (5 - (3452 - -1)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 406\/15249?\nAnswer: 406\/15249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - 4*l**2 - 3*l**2)*(1 - 3*l**3 - 1) + 110*l**2 - 110*l**2 + 53*l**5.\nAnswer: 56*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/6992 and 59\/231518?\nAnswer: 35190736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89658?\nAnswer: 2, 3, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z**2 - 4*z**2 - 3*z**2)*(z - z - 3*z) - 38 + 38 + 16*z**3 - 12*z**3 in the form n*z + y*z**3 + l + f*z**2 and give y.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2085*0.022.\nAnswer: -45.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2076 + 2080. Solve 0 = m - 2*w, -s*m + 5*w - 6*w + 18 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 203070 and 2310.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -10.5 (b) 0 (c) 5 (d) -0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 62, 239, 580, 1139, 1970, 3127?\nAnswer: 4664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -4 - (8 - 8 - -54 - (-19 + 9))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 - -48.91. Let w = g + -48.99942. What is w rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Let y = 0 + 3. Suppose 8 - 23 = y*j. Sort u, j, 0 in decreasing order.\nAnswer: u, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43*4307.2\nAnswer: 185209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8 + 170*c + 15 + 3 + 31.\nAnswer: 170*c + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*h - 31 - 22*h - 18.\nAnswer: -12*h - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 259654.83 rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -214 - -207. Let x be -46*3\/(-18) + p\/(-21). Solve 0 = -3*m - 4*q - 14, -2*m = 2*q - 0*q + x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 371*b**3*u + 2*b**3 + 79*b**2 - 529690*b*u + 2*u + 1480915 wrt u?\nAnswer: 371*b**3 - 529690*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8.2 * -689\nAnswer: 5649.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x + 2*w - 5, -27*w + 25 = -32*w for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -7.69204387 - -0.3\nAnswer: -7.39204387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 7*n - 3. Let c = -170 - -352. Let d(x) = 182 - x - c. Determine 5*d(p) + z(p).\nAnswer: 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.81 - 0.31. Let p be (2\/(-3))\/2*-18. Suppose -5*o - p = 14. Put h, o, 0.06 in increasing order.\nAnswer: o, 0.06, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131031 (base 4) in base 6?\nAnswer: 12353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 12) + (204 - 339) - -29?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12647720 and 1006.36.\nAnswer: 12648726.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12655 is divided by 218?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (504\/216 + -2)*108*(-9)\/66.\nAnswer: -54\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -560*b**3 + 3*b**2 + 6*b - 32. Suppose l = 5*j + 15 + 18, -4*l = -5*j - 42. Let g be d(j). What is g rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1150499*d + 2*b = 1150509*d + 46, 0 = -2*d - 5*b - 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2607268053.\nAnswer: 3, 13, 17, 1187, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(-1)))**49*((c\/c**(-3\/5))\/c)\/(((c*c\/c**(2\/7)*c)\/c)\/c*c) assuming c is positive.\nAnswer: c**(3391\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 489 and 1091.\nAnswer: 533499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 479, 488, 497?\nAnswer: 506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 650 = 23*m - 18*m. List the prime factors of m.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/23112 and -23\/13029390.\nAnswer: 52117560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -544143 or -544165?\nAnswer: -544165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19838 and 154889?\nAnswer: 763","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 - 64 - (0 - -13) - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*t - 2*t. Is t smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 0, 0.0523998, -5?\nAnswer: 0.0523998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 27.25, -2\/303, 5, 0.5 in decreasing order.\nAnswer: 27.25, 5, 0.5, -2\/303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 280 and 350?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*j - 11 - 11 + 22 to v*j + q and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038248395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Solve -x*j + 9 = 1 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25993557*i**3 - 25*i + 241601 wrt i?\nAnswer: 155961342*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 5*b - 21. What is the third derivative of 2*m**2 + 2*m**4 + b*m**4 - m**4 + m**4 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, u: 2, t: 1}. Give prob of picking 2 u.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.20866 + -0.03763\nAnswer: 0.17103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 724 and 24.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 - l**4 + l**4)*(8*l - 2*l + 7*l)*(-4 + 4 + 1 + (4 - 2 - 1)*(2 - 4 + 4)).\nAnswer: -117*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*v - 599*v = 15974 + 1498 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1570684 is divided by 523557?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1173 - -1593. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 3.5. Let u = -4.3 + 9.3. Let z = u + t. Which is the second biggest value? (a) 4 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 2. Let h be 1\/3*-1 + 2\/6. Let x be r(h). Suppose 0 = -2*w - x, 5*w - 57 = -5*b - 7. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 19006458*q**2. Let p(x) = 65*x. Give p(n(h)).\nAnswer: 1235419770*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d - 3*d**3 + 270*d**2 - 23*d**2 + 81*d**2 + 368*d**2.\nAnswer: -3*d**3 + 696*d**2 + 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165 - -4?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 39149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 12. Let w be x(10). Let p = w - -27. Let u be (-18)\/p - 27\/45. Solve -7*g - 8 = -u*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196090*p + 1206 = -195956*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2.1355 and 0.5?\nAnswer: 2.6355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 11 + 4 + 9 - 1. Let u = -6 - -9. Let w(r) = -r**2 - 5*r**3 + 5*r**2 - 4 + u*r**3 + 0. Give -4*h(f) - w(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 + y**2 - 1. Let r be o(1). Let g(d) = 1 + 3 - 3 + d. Let h(j) = -j - 1. Let a be 2\/5 + 900\/250. Calculate a*g(k) + r*h(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13*9\/936 - (-3682)\/(-224)*-2.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3383 + 7473. List the prime factors of v.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = m + 3. Let c = -0.21 - -0.01. Let g(k) = -k**3 - 5*k**2 + 6*k - 1. Let x be g(-6). What is the nearest to m in -4, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5115, 5122, 5129, 5136, 5143, 5150?\nAnswer: 5157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87331\/75042 + -175\/379. What is the common denominator of -13\/2178 and i?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 17958?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11593\/28 + 414. Let b = r - 13\/28. Sort -1, b, 2 in ascending order.\nAnswer: -1, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -1, -336, -3\/2, 5, -15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -9*c**3. Let v(h) = -h. Let m(o) = i(o) + v(o). Determine m(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(320) - (0 + sqrt(320) + 4) - (sqrt(5) + sqrt(5) + (sqrt(45)\/(sqrt(9) - sqrt(81)))**2 + 1*sqrt(20))) + 5).\nAnswer: -16*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2541097 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*q**2 - 17*q**3 - 2*q**2 + 614060*q - 614098*q as l*q**3 + o*q + f + r*q**2 and give l.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23247.27 hours to milliseconds.\nAnswer: 83690172000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459090079.\nAnswer: 7, 41, 1599617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 4*x**2 - 4*x**3 - 21*x**3.\nAnswer: -25*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5+-248681\nAnswer: -248676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*2*((sqrt(70) - sqrt(70)*-1) + sqrt(70))*-2)\/((sqrt(160) + sqrt(160)*-2)*6).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*k + 5550096, 832*k + 4440078 = 4*u + 831*k. Round u to the nearest 1000.\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174818809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f + 23. Let a be k(-6). Let g be (-26)\/117 - 40\/(-18). Suppose g*v - 3*b - a = 19, 0 = 3*b + 12. Solve l = -d + v, d - 5*l + 5 + 1 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/20 and 3\/15688300.\nAnswer: 15688300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2 - 19*m - 4. Let t(v) = v**2 - 13*v - 3. Let b(f) = -3*t(f) + 2*y(f). Give b(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -358.12 + -0.312.\nAnswer: -358.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 8*q + 536. Let z = 233 + q. Which is smaller: 98 or z?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2 - t. Let l(m) = -7*m**3 + 6*m**2 - 6*m - 1. Suppose -w - 4*h + 8*h + 6 = 0, 5*w + h = 30. Give w*s(r) - l(r).\nAnswer: 7*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2117 (base 8) to base 10.\nAnswer: -1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64411 - -9?\nAnswer: 64420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 + 3*n**2)*(5*n + 2*n**2 - 5*n + (6*n - 4*n - 3*n)*(n + 4*n - 4*n) + 4*n**2 + 2*n**2 - 4*n**2 - 15*n**2 + 13*n**2 - 9*n**2).\nAnswer: -16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -24.77 + 23.2. What is u rounded to 1 dp?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22099, -88381, -198831, -353443, -552211, -795129, -1082191?\nAnswer: -1413391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, d: 10, x: 5, z: 1}. Give prob of picking 1 j and 2 d.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 5 = q - 2, -7 = -3*q + u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of 5*i**4\/12 - i**3\/3 - 6*i. Let q be j(2). Does 9 divide (-4)\/q + (-109)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n = -24*n - 753. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 75a?\nAnswer: -753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 155\/3, -1, -1\/4, 55, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -631 by 5.\nAnswer: -631\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -7766.816\nAnswer: 31067.264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 12*u**2 + 4*u + 7. Let b be -8 + 1 + (2 - 2). Let j(r) = 11*r**2 + 3*r + 6. Let c(w) = b*j(w) + 6*m(w). Let k(o) = -2*o**2 + o. Give 3*c(x) - 7*k(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u. Let d = -316 - -321. Let x(q) = 4*q - 12. Let v(s) = d*b(s) - x(s). Calculate v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1256 + -11302\/9. Which is the nearest to -0.1? (a) 3 (b) 152 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.4 - -0.6. Let t = y + -4.03. Let m = t - -0.18. Round m to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -20. Let m = -12.000025 + w. Round m to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/104 in 0, 5, -1\/3, -30, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:48 AM and 11:37 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27\/7 + -1)\/(((-1104)\/(-224))\/23). Which is the smallest value? (a) -1\/4 (b) -0.1 (c) -2\/7 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 5*d - 337. Let t be o(0). Let r = t + 340. Determine x, given that -216\/5*x**r + 48\/5*x**4 + 291\/5*x**2 - 108\/5*x + 12\/5 = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 3, 0.2, -1912?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -269*23.66\nAnswer: -6364.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130.6 + -15.6. Let a = t + -114.99999962. Round a to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -r**5\/10 + 17*r**4\/12 - 7*r**3\/3 + 14*r**2 - 3186*r. Calculate g(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*k - 10, 3*h + 4*k = -0*h + 46. Calculate the remainder when 58 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0.558\nAnswer: 2.558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 d, and 1 e when four letters picked without replacement from {d: 4, e: 2, a: 1, g: 2, i: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddyeeyddddd. What is prob of picking 4 d?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24814 is divided by 710.\nAnswer: 674","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12.35032 grams to tonnes.\nAnswer: 0.00001235032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**2. Let g(k) = -2*k**3 + 2*k**2 - 1. Let i be g(-1). Suppose 2*u = -i*u + 10. Let x(t) = t - t + u*t**2. What is c(x(w))?\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5\/4)\/((-2)\/(-8)). Let s be (0 - -1)*(8 - 9). Let u = i - s. Solve 0 = -3*c + u, z + 5*c - 19 = -5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 4*s**2 + 2*s - 2. Suppose -4*f - 3*y + 96 = 0, f - y - 2*y = 9. Suppose f*p - 25*p - 28 = 0. Let d(t) = 13*t**2 + 7*t - 7. Determine p*a(n) + 2*d(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*s**3 + 15464*s**2 - 106580*s + 86016 = 0. What is s?\nAnswer: 14\/15, 6, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -228*k**2 - 96*k - 96. Let f(i) = -12*i**2 - 5*i - 5. Let n(v) = -96*f(v) + 5*z(v). Let c(o) = -o**2. Determine n(c(u)).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004158040432 rounded to five dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -128246 and -128244 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -18*(4 - (-175)\/(-42)). Solve 3*b - 15 = t*h - 3, 3*b - h - 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w**4 + 25*w**3 - 373*w**2 - 817*w - 420 = 0. Calculate w.\nAnswer: -35, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 18. Let j = o + -5.03. Let v = 2.97 - j. Which is the closest to 0? (a) -4 (b) v (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v + 22*v**4 - 23*v**4 + v - 3 + (3*v - v - v)*(-2*v**3 + v**3 + 3*v**3) + 0*v**4 + 3*v**4 - 2*v**4.\nAnswer: 2*v**4 - 2*v - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 23 (b) -0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*(-4*2*sqrt(77) - -6*sqrt(77)*-1))\/((sqrt(112) - (sqrt(112) - (sqrt(112) - (sqrt(112) + (sqrt(112)*-3*3 - sqrt(112)) + sqrt(112)))))*-3))**2.\nAnswer: 2695\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2, 2, 0, -4, -10, -18, -28?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2640 and 80?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -316, -2, 5, 40, -9 in descending order.\nAnswer: 40, 5, -2, -9, -316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 17. Let c(k) be the third derivative of -k**5\/30 - 10*k**2. What is c(s(r))?\nAnswer: -2*r**4 - 68*r**2 - 578","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = m + 3*v - 0, -5*m = -v - 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 7*f - 1. Determine p(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6454*u**2 + 6454*u**2 - 24*u**3 - 7*u**3.\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41080 - 22159. Suppose 7*o = 46417 + i. Suppose 5*w - 6*n = -2*n + 11673, n + o = 4*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from bbfbbgfg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 9 - 1. Suppose 0 = q + 4*q - 4*z + 32, -2*q = i*z + 2. Sort 2, q, -1.\nAnswer: q, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*j = 38*j + 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 20, -6, -62, -160, -312?\n\"Answer: -2*m**3 + 3*m**2 - 3*m + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 4*h + h + 3*f, 3*f = -3*h + 18. Suppose h*p - 1634 = -138. Is 13 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 1. Let o be y(1). Put -1, o, -2 in descending order.\nAnswer: -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.492 + 0.4994. What is s rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 956, 6.\nAnswer: -2, 3, 6, 956","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 63266 divided by 9038?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlhlrrhlrhllllrr. Give prob of sequence hr.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1392 and 0.4.\nAnswer: -1391.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 9 = -0. Let j(b) = -5554 - 20*b - 3*b + 5572. Let p(q) = -11*q + 9. Let o(i) = z*p(i) - 4*j(i). What is the first derivative of o(s) wrt s?\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p - 9 = 3*j, -29 = -2*p + 5*j. Let c be 28\/10 + 1\/5. Determine w, given that 1 + w**2 + 3*w**p + 6*w**c - 1 + 2*w**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*n**2 - 7*n**2 + 4*n**2 + n**2 in the form f*n**2 + x*n + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -4*q**3 - 9*q**2 - 49*q + 104. Determine v(-5).\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(660)\/(1*sqrt(12)*-1))\/(sqrt(11) + sqrt(1584) + (3*sqrt(77) - sqrt(77))\/sqrt(7)).\nAnswer: 4*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21011011202 (base 3) to base 7\nAnswer: -1124366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/211000637?\nAnswer: -1\/211000637","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 147 + -147. Solve y = -2*d + 6*d + 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 9*z**2 + z**4 + 15*z**2 - 7*z**2 as y*z + l*z**4 + m + a*z**2 + t*z**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165946 and 114950?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - q + 15 = -4*q, 0 = -3*q - 6. Suppose 5*n + 3*a = y, 0 = -0*n - 2*n + 2*a + 14. What is the highest common factor of n and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(972) + -1)*4 + 4 + -4*(-1 + (-5 + sqrt(3)*2 - (sqrt(27) + 1))))**2.\nAnswer: 4256*sqrt(3) + 18112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1289*w**2 + 427*w**2 + 440*w**2 + 427*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 3:48 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20 + 5)*(-2 + 4). Let b = 31 + z. Solve -5*n - b = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*s**3 - 692252*s**2 - 9215684625*s - 1417781250.\nAnswer: -(s + 26625)**2*(13*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from {s: 2, p: 1, e: 5, y: 1}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -117, 0, 2058, -1 in descending order.\nAnswer: 2058, 4, 0, -1, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 34, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -452, -445, -406, -329, -208, -37, 190?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**4\/4 - 593*k**3 + 17592*k**2 - 63260*k + 60892 = 0.\nAnswer: 2, 26, 2342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4\/2 - 91528*w**3 - 2196843*w**2\/2 + 2471425*w - 1281476 = 0.\nAnswer: -14, 1, 183068","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 791 + -523. Let q = -245 + t. Calculate the remainder when q is divided by 3 - 0 - (-2 + 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 88 (base 12) to base 8\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 435738 divided by -145246?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-7)\/3 + 3)*3. Let b be (-8 + 6)*(-6)\/v. Is 222\/(-9)*b\/(-4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -5, -2\/31, 0.5?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m - 5. Let l be y(5). Suppose 2*z + 2*h = 48, -2*z + l*z = h - 45. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 6:08 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.2 (c) -3 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -63532880 not equal to -63532881?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1)*(-2 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 375918 and 106.\nAnswer: 376024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -186635.9 rounded to the nearest one thousand?\nAnswer: -187000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w - 48 = -32*w. Let q(b) = 91*b**2 - 9*b - 10. List the prime factors of q(w).\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -85. Let o be (-1 - 29)*(-10)\/a. Calculate the greatest common factor of 132 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 25*l**8\/336 + 3*l**7\/14 + l**6\/5 + l**5\/15 - 5*l**2. Suppose t(s) = 0. Calculate s.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h + 5811 - 6011 = -h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*g**2 - 14*g**3 + 7*g**3 + 326*g**2.\nAnswer: -7*g**3 - 6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-1 - (0 - (4 - 1)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24098, 96151, 216246, 384389, 600586, 864843, 1177166?\nAnswer: 1537561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -250 + -416?\nAnswer: -666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**3 + 10 + 6*k**2 + 3*k**3 - 7*k**4 + 33*k**4 - 2 - 84*k**2 + 40*k = 0.\nAnswer: -2, -2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**7\/30 - r**3\/2 - 5*r**2 - 6. Let o(j) be the second derivative of b(j). Differentiate o(g) with respect to g.\nAnswer: 28*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 1234655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -113*a*n*v + 2*a*n + 4*a*v - a + 5*n*v + 18*n - 5 wrt a?\nAnswer: -113*n*v + 2*n + 4*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 1948975?\nAnswer: 2\/1948975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1459970492 divided by 4.\nAnswer: -364992623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -9 - (-1)\/(4\/(-12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4\/3 - 26*r**3\/3 - 151*r**2\/3 - 124*r\/3 = 0.\nAnswer: -4, -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9*(-8)\/(-24))\/11?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 24*f**2 + f + 1. Let r be m(2). Calculate the common denominator of -8\/5 and -3*((-210)\/r)\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 197 + -1775\/9. What is the second biggest value in i, 2\/19, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2084, 4, 0.5?\nAnswer: 2084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = 21*s + 85. Let o = s - 14. Solve -5*k - 8 = -o*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let a = 32 + -27. Put a, 4, t in decreasing order.\nAnswer: a, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -36. Let y be 26\/2 - ((-3 - 0) + i). Calculate the remainder when 35 is divided by -2 + y - (-2 + -1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25341 - 5698. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (60\/9*(-174)\/(-1450))\/(-2*(-99)\/15)\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 659, -2.52?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -542.7, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 63*i - 1. Let d = 266 + -245. Calculate the remainder when g(1) is divided by d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 960957231 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37347983*l**2*y + 239958689*l**2 wrt y.\nAnswer: -37347983*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 702998205?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283 = 65*u - 7*u + 1051 for u.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/4 + 525*m**2\/4 + 17775*m\/4 + 138375\/4.\nAnswer: -3*(m - 205)*(m + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 311666120*m**4 + 126539590?\nAnswer: 1246664480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1220 + 1212 = -5*d - i, -4*d - 5 = -3*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2093, -3714, -6391, -10130, -14937?\n\"Answer: -p**3 - 522*p**2 - 48*p - 1522","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/3*(-25)\/15. Suppose -p*q = -1402 - 1958. Is 21 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f - 8. Let g be a(6). Let k = g - -5. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4253751*l**3 - 3772065*l**2?\nAnswer: -25522506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -103 + 986. Suppose 0 = 5*c + 4*k - 1166 - 5339, 0 = -3*c + 3*k + 3930. Let y = c - j. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 1\/15*j**5 + 1\/120*j**6 + 8*j**2 - 1\/8*j**4 + 0*j + 0 - 1\/6*j**3. Suppose -19*g + 21*g + 10 = 0. Give p(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 2*i - 59996. Let g = i - -270103\/18. Calculate the common denominator of g and (-5 + 8)\/(4\/(-29)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 561034708?\nAnswer: 2, 13, 63841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 + 6.99999984. What is x rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 12*d**2 + 9*d - 19. Let t be m(-8). Let z(k) = t + 58*k - 677. Let w(b) = -b**2. What is z(w(l))?\nAnswer: -58*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 23749292 + 3880?\nAnswer: 23753172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(2\/5))*l\/l**(2\/5)*l*l*l)\/((l*l**(1\/3)\/l)\/(l\/(l\/(l**(2\/9)*l))))*(l**(-2\/9)*l*(l\/(l**(-3\/5)\/l))\/l*l)**(2\/67) assuming l is positive.\nAnswer: l**(15044\/3015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6062 - -2)\/6)\/(4\/(-2)). Let d = o + -252. List the prime factors of d.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 113?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + 62. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/656 and -137\/6528.\nAnswer: 267648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 5, t: 2, u: 5, n: 5, i: 2}. Give prob of picking 1 u, 1 t, and 1 n.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 16 - 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -3362, -12131, -29214, -57383?\nAnswer: -99410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/225161 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -70 + -2126027?\nAnswer: -2126117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 12:41 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 2*m + 10, m + 4*m - 52 = c - 55 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.8 - -3.8. Let l = -0.2 + 0.7. Put 3, l, z in descending order.\nAnswer: 3, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339*t = 24*t - 945. What is the biggest value in 0, 1249, -4, t?\nAnswer: 1249","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -7. Suppose -37 = -u*r + 7. Let h = 15 - r. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.111 * -6214\nAnswer: -13117.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -916\/3?\nAnswer: -916\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - ((-4)\/(-2) + -9) - 1. Suppose 8 = n*l - w - 3, 3*l - 3*w = 6. Calculate the lowest common multiple of 10 and 10\/l*(-3)\/(-3)*6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 23*z**2. Let v(r) = 400682*r. Calculate i(v(m)).\nAnswer: 3692559497852*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.18920194625 and 1.\nAnswer: 2.18920194625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -75695755\nAnswer: 2\/75695755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7467 and 15.\nAnswer: 37335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 1449561?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-8)*(1197\/(-9))\/7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + 2 + (2 + sqrt(704))*-1*5))**2.\nAnswer: 3840*sqrt(11) + 281744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)*a**(-1\/15)*(a*a*a**7)\/a**6)**46 assuming a is positive.\nAnswer: a**(2369\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-5))**(-33))**(2\/55) assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -0.035489.\nAnswer: 0.035489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4 + 0.6. Let x = 5.249 + -1.249. Put -14, x, o in descending order.\nAnswer: x, o, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v - 16*v - 45 = -3*n - 3*v + v, -n - 53 = -3*v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -78 - -110. Is 4 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**3 + 30*p**2 + 134*p + 101. Calculate h(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 968*k - 14 - 2961*k + 1033*k + 962*k.\nAnswer: 2*k - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 17*q - 16. Let l be u(-16). Suppose -n = 4*i, -2*n + n - 2*i + 2 = 0. Suppose 0 = -n*h - l*h + 24. Solve -z + 1 = h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(448)*4 - (-5 + sqrt(1008) + 3)**2.\nAnswer: -1012 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 - -3 - (-5332 + -2 + 8). Round u to the nearest 100.\nAnswer: 5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39\/640 - 921\/640. Which is the nearest to -2? (a) 8 (b) 2\/3 (c) p (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 3. Let i be w(6). Suppose 0 + 6 = -i*u + 3*n, u - 2*n = -4. Solve 4*o - 3*x + u*x = 23, -5 = x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.7555 + 179.6475.\nAnswer: 167.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 46*p**2 - 96*p + 10. Let l(f) = -34*f - 2. Let t be l(-1). Suppose -3*y + 64 = -t. What is the remainder when y is divided by n(-48)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((36\/(-6))\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 839?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 + 20201?\nAnswer: 10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 - -554?\nAnswer: 550.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**(-1\/4)\/r))**(-48)\/(r**(1\/2)\/r**(-1)))\/((r**(-2\/7))**(2\/57)\/(r**(-4)*r*r\/((r*r\/((r**1\/r)\/r))\/r*r))) assuming r is positive.\nAnswer: r**(-14755\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6*(-60)\/32. Let w = -0.3 - -0.1. Let z = -0.7 - w. What is the third biggest value in z, -5\/2, f?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -47. Suppose -o = 2*m - 74, -l*m + 5*o = -4*m + 58. Let h be 6\/m - (-50)\/13. Solve -5*u - 35 = 4*j - 10, 4*j - h*u = -16 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14) - sqrt(84)\/sqrt(6))*5)\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 6*o**2 - 7*o - 5. Suppose 20 = -0*w - 5*w. Determine b(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + (7 - 4\/2). Let y = 14309\/9 + -3171\/2. Calculate the common denominator of y and (154\/36)\/(1\/b).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jijjijjj. What is prob of sequence ijji?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1219 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 = -6*r. Calculate the greatest common divisor of r and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w + 4. Which is greater: w or -16\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 638295?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 704958942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**8\/6720 + l**7\/2520 + l**6\/180 - l**5\/40 + l**4\/24 - 2*l**2. Let k(i) be the second derivative of b(i). What is k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4791223316?\nAnswer: 2, 11, 107, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zg when two letters picked without replacement from {j: 1, z: 4, g: 1, u: 1, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 6. Let t be z(0). Suppose 0 = -8*l + 5*l - 240. Is l\/(-6) + t\/(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23224 + -134?\nAnswer: -23413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -247, -303, -395, -541, -759, -1067, -1483, -2025?\n\"Answer: -3*s**3 - 35*s - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1170, -4\/3, -496?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 6. Let t(i) = -5 + 5 - 1. Let k = -18 - -6. Let g = -8 - k. What is g*t(w) + v(w)?\nAnswer: -w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 98876294?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 45695296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 576502.\nAnswer: 2, 47, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712*m + 321 = 605*m. Let x(q) = -q. Determine x(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 20, -2 in descending order.\nAnswer: 20, -0.6, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/8837 or 0?\nAnswer: 2\/8837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131888?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l. Let s(z) be the third derivative of -367*z**4\/24 - 2767*z**2. Give q(s(n)).\nAnswer: -1101*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27795400 * 2.\nAnswer: 55590800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(405) - sqrt(5)) + 2.\nAnswer: 2 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -16. Let u = v - -2. Let c be 76\/(-32) - 2\/32*-6. What is the third smallest value in 5, c, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12957203, -25914390, -38871577?\nAnswer: -51828764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 259 = -19. Let v = -84 - -170. Let x = v + o. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 84207 or 84208?\nAnswer: 84207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6\/19)*(o**4\/o*o)\/o)**(-18\/13) assuming o is positive.\nAnswer: o**(-918\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53887681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 62\/(-510) - (-3)\/9. Let h = 8\/85 - z. Let r = -309 - -308.99. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37151 = 3479*k + 102740 - 28563 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - j + (0 + 3 - 2)*(-18*j + 12*j + 16*j) - j - j + j as r + k*j and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/((-1)\/2). Let k = w - -5. Solve k = p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*o = -m + 542*o + 38, -5*m - 2*o + 76 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.71, 1270\/39, -2, 1?\nAnswer: 1270\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 21 = 5*q, -9 = 4*y - 21 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 960871 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32795.\nAnswer: 5, 7, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -306 = -414*z + 380*z. Suppose 7*k + 17 = 3*x + z*k, -10 = -2*x - k. Solve -d**x + d**2 + 1\/2*d**5 - 1\/2 - 1\/2*d**4 + 1\/2*d = 0 for d.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one fifths of a millennium?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -9. Let j = k - 30. Let g be 16\/8*(-2)\/j. Sort -2, -9, g.\nAnswer: -9, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1845147, -3690319, -5535491, -7380663?\nAnswer: -9225835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76, 1, 153, 0, 2, -24 in decreasing order.\nAnswer: 153, 76, 2, 1, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kee when three letters picked without replacement from kkppkpkpeppe?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 + 13 - 32 - 20*k**2 to b + x*k**2 + i*k and give x.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -261182257 and -261182258 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83977 is divided by 24.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -56, -63, -70, -77, -84?\n\"Answer: -7*m - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 885 is divided by 702.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 559 - 233 = a. What is the second derivative of -a*s**4 - 4 - 464*s**4 + 957*s**4 + 45*s + 3 wrt s?\nAnswer: 2004*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 (base 7) in base 11?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 + -5. Let y = -44 - -40. What is the lowest common multiple of v and (y\/(-5))\/(4\/60)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1032 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 439, 881, 1325, 1771, 2219?\n\"Answer: t**2 + 439*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/5 + 296*m**4\/5 + 11784*m**3\/5 + 8512*m**2 - 250880*m = 0.\nAnswer: -70, -16, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*j**2 - 949285395*j - 237321350.\nAnswer: 5*(j - 47464270)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*i + 4*z, 12 = -0*i - 3*i + 6*z for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -4366 + 398. Calculate the highest common divisor of 31 and c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100723.3mg in grams?\nAnswer: 100.7233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 690037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-52)\/16 + 3)\/((-5)\/260). Solve -j = 8*f - 21 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 604 a factor of 1252696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -89*q + 283. Determine r(6).\nAnswer: -251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80, 86, 96, 110, 128?\n\"Answer: 2*r**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(6\/5)\/b**(-7))**(-32\/5) assuming b is positive.\nAnswer: b**(-1312\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 0. Let u be (-4)\/10 + (-5418)\/430 + (10 - 0). Sort -1\/7, -5, d, u.\nAnswer: -5, u, -1\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.386 plus 0.64?\nAnswer: 0.254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-10) - (-173)\/5. Suppose i = 6*i + 10. Let t = r + i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let j = 3 - l. Let c = -128 + 132. Solve -c*o - j = -17 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12584771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 a when three letters picked without replacement from cggcwaaacwcpwpppgkgw?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwrqqpffqbpqfw. Give prob of sequence rfqq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(-2)\/(6 - 0). Let b = 1\/66 - p. Let h = -227\/6 - -38. What is the closest to 2\/7 in b, h, -1\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*l + 7 = 0, 3*a - 5 = -4342*l + 4347*l for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, -382, -713?\n\"Answer: -331*r + 280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -97*o**2 - 70 + 17*o + 56*o**2 + 40*o**2. Let a be l(10). Which is smaller: a or -1\/335?\nAnswer: -1\/335","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = 6*r - 2*r. Suppose -1 = -6*c - 31. Let v = c - r. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*w + 5*w - 4*w)*(-5 + 2 - 1)*((7 - 3 - 2)*(0*w + 0*w + w) + 5*w - w - 5*w + 16*w - 8*w + 25*w).\nAnswer: 136*w**2 - 272*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 593471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 924463973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y = -4*y + 160 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3140 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 7616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27.1 + 27. Let s = 3.2 + -3. What is the biggest value in 2\/5, s, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 2. Suppose -m*c = 1120 - 373. Let o = c + 82. Which is bigger: -1\/74 or o?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16933*d - 8467*d - 8464*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9 + 1\/(4\/28). Suppose l*u - 2 = 14*u. Let g(y) be the third derivative of 3*y**4\/8 - y**2. Determine g(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1873 + -1868. Let j = 2.92 - -0.08. Which is the closest to -3\/2? (a) m (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + k**2)*(-1 - k + 4*k - 6*k).\nAnswer: -3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 20. Suppose 0 = z, 4*m = 3*z - q*z + 136. Calculate the highest common divisor of m and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of 0 + 1\/120*h**5 + 0*h - 1\/6*h**4 + 7\/12*h**3 + 4*h**2. Solve c(z) = 0 for z.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35330000 rounded to the nearest 1000000?\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1331*c + 2*c**5 - 388*c**2 + 32*c**4 + 240 + 330*c**3 - 240 + 1356*c**2 - c**5.\nAnswer: c*(c - 1)*(c + 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 204*k = 0. What is k?\nAnswer: 0, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 3 + 2*p - 2*p. Let i be z(2). Let o be 3\/69*8\/4. Is o >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 399 - 5*j**2 + 24*j**2 + 276 - 16*j**2 - 90*j.\nAnswer: 3*(j - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 12:49 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k - 2*k + (-1 + 2 - 3)*(0 - 2*k + 0) - 15 + 15 - 6*k)*(2 + 2*k**3 - 2) + 0*k**4 - 3*k**4 + 2*k**4.\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 162.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 2*sqrt(72)*3 + sqrt(72) + (sqrt(126)\/(sqrt(42)\/sqrt(6)*-1))**2.\nAnswer: 23 + 42*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 21111201201?\nAnswer: 21111201220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-5\/6)\/(j\/(j**(-5)*j*j)))\/(j\/(j\/((j**(-1)\/j)\/j)))**22)**(-20) assuming j is positive.\nAnswer: j**(-3670\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p - 130 = 5*s - 42*p, -4*p = -3*s + 39 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 + 20108912*u**3 - 25273001255064*u**2 - 50546062836880*u - 25273041472900.\nAnswer: -4*(u - 2513615)**2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -844*m - 847. Determine c(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y**2 - 76*y - 18. Determine l(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4 = -16. Let p(q) = -q**2 - 3*q + 4. Let w be p(r). Solve -5*g + 5*d - d + 11 = w, -2*g - 3*d + 9 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a tonne in kilograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 53981?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**3 - z**2 - z - 1. Let o be v(-1). Calculate the smallest common multiple of (o + -3)\/3 + 0 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6625 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 69. Which is bigger: z or -252?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2071206 (base 8) to base 14.\nAnswer: 105a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3575778 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (1 + (-2 - (-5 - -1))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3188, 5, 0.0766?\nAnswer: 0.0766","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 622980?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(1\/4)*n)\/n)\/(n**17\/n*n*n*n)*(n\/n**(-13))\/(n*n\/(n\/(n**(-9)*n))))**(-2\/19) assuming n is positive.\nAnswer: n**(-9\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 - 52. Let o = x + 86. Let l be (-10)\/(-15)*3\/(-2). Sort 3, l, o in decreasing order.\nAnswer: 3, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 5*w + 16. Let r be c(4). Let b = r - 32. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*k + 3*q, -269*k + 270*k = 3*q - 2. Suppose 4*u - 66 - 258 = -4*v, 2*u = v + 165. Calculate the greatest common divisor of u and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126 = 31*u - 130*u - 72 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1836\/(-2856))\/((-2)\/(-14))*(-16)\/3\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, 38, -6, -1 in decreasing order.\nAnswer: 38, -1, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3752 at least 3751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b + 6. Suppose -2*s - 3*s + 70 = 0. Let n be 2\/(-14) + 2\/s. Determine i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = -178. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (452*n - 23*n**2 - 452*n)*(-3 + 9 + 4*n - 5).\nAnswer: -92*n**3 - 23*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 139731 - 2*a + 139731.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296)*-2)\/sqrt(3) - sqrt(24)\/((-1*sqrt(64))\/sqrt(8)).\nAnswer: -23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5\/8 (c) -6 (d) -3 (e) -2083\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/(-60) - 54\/5. Let b(f) = f + 40. Give b(n).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 - 5*p**2 + 6*p - 2. Let n be s(4). Let i be (10\/1)\/(-1 - 138\/(-126)). What is the highest common factor of i and n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13439*i**3 + 123032*i**3 - 56407*i**3 + 214945*i**3.\nAnswer: 295009*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Let f(n) be the first derivative of n**2 + n - 1. Calculate the remainder when 25 is divided by f(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 739 is divided by 161?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100.145 - 0.355. Let k = 100 + n. What is the closest to -0.1 in -1\/8, -0.2, k?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1205268619?\nAnswer: 1205268619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in months?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + 0*b**2 + b**2 - 2*b)*(2 - 6 - 11)*(-3 + 3 - b)*(10*b - 2 + 6*b - 18*b).\nAnswer: -30*b**4 + 60*b**3 + 90*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 20 - 16 = 0. Suppose 0 = -10*m + 13*m - i. Suppose -140 = -m*f - 8. Is f a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/3*(-63)\/(-14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 42, 25, 4, -21, -50, -83, -120?\n\"Answer: -2*c**2 - 11*c + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(f - 2 + 2) - 172*f + 62*f + 7*f + 4*f + 4*f - 4*f.\nAnswer: -100*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3. Let d(a) be the first derivative of -2\/3*a**3 + 1 + q*a**2 + 0*a. Let b(f) = f. What is d(b(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pipw when four letters picked without replacement from {p: 7, i: 1, w: 12}.\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -925\/1631 - 1\/233. Let x = -1255 + 1255.2. Which is the closest to x? (a) 1 (b) 4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 582 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + i + 3*i + 53099996, 88500005 = -5*u + 5*i. What is u rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21943824 and 2576.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2*h. Let b(q) = 301*q**2 - 21*q. Give v(b(n)).\nAnswer: 602*n**2 - 42*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 95 = 5*c, 2*f + 2*f - 2*c = 66. Suppose 0 = -2*t + f + 6. What is the highest common divisor of 70 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -659.06 + 662. Let v = o - 2.8448. What is v rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -5*g**4\/6 - 2*g**2. Suppose 3*f - f + k - 160 = 0, 5*f - 401 = -3*k. Calculate the remainder when f is divided by t(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0033257 rounded to 4 dps?\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -115435 - -4?\nAnswer: -115431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26 - 604810*d**4 - d + d**2 + 604805*d**4 - 32 to r*d**2 + i*d + v + u*d**3 + l*d**4 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 101147, 202156, 303161, 404162?\n\"Answer: -2*s**2 + 101015*s + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 11*k**2 + 9*k - 9. Let t be m(-10). Suppose 2*n + t = 5. Let -n*a**2 + 2\/7 - 8\/7*a**3 - 4\/7*a = 0. What is a?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 21?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 400973*i**4 - 308*i - 703 wrt i.\nAnswer: 4811676*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -58. Let p = t + -42. Is (-304)\/p - 4\/(-22) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 27*o**2.\nAnswer: -3*o**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 12.18. Let k = l - -10.82. Let j = -395\/4 - -99. Which is the biggest value? (a) k (b) j (c) -3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/9 + 0. Let h = 6.6 - -2.4. Does v = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.00058 + -9. What is o rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3532059 to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 138200 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -73.5, -4, -0.5, 3, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5456762 decades?\nAnswer: 5.456762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 86*-22\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218963107.\nAnswer: 11, 19905737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14, -1, 12, 25?\n\"Answer: 13*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -684 + 1007. Suppose 325*v = w*v - 2414000. Round v to the nearest ten thousand.\nAnswer: -1210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6156.160151 to the nearest integer.\nAnswer: 6156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2863 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5 - 4) + 2 + 42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 803 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 609 - 207*n**3 - 3*n**2 + 237*n**3 - 605 in the form f*n**3 + c*n**2 + v + x*n and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 114925739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.04 and 2713 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 407 + (2\/3)\/(8\/(-12)). Suppose -375 = -3*m - 2*z, -d = -4*m - 2*z + 94. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17948264609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:57 PM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 1 - 17*n - 2 - 6*n**2 + 17*n. Determine m(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(252)*2*1 + sqrt(252))**2 + -1 + sqrt(252) + 2 + 2 + sqrt(252) + 2 + -3).\nAnswer: 60*sqrt(7) + 11350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.3 in 1, -0.2, 0.06?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1341 = -4*s, 0 = 2*s + 2*s - 4. Let t be (-409)\/(-4) + (-1)\/4. Suppose -t - c = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 + 7*v**2 + 0*v**2.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -378 divided by -27\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-72)*(-30)\/(-400)*4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10*((-2)\/5 + 1). Suppose 5*w + 3*p - 27 = 0, 3*w - 5*p = 7*w - 32. What is the greatest common factor of w and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -483 - -482.729. Let h = -0.471 - o. What is the closest to -1.1 in 1\/7, -1, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1307.\nAnswer: 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1070 + 7058 = 270*m + 1648 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -7*u**2 + 5*u + 7. Let d(v) = -20*v**2 + 14*v + 20. Let z(x) = -6*d(x) + 17*r(x). Let w(g) = -g**3 - 9*g**2 - 21*g - 13. Let o be w(-3). Give z(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158233990 a multiple of 445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 + 44 = 2*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 3548 to the nearest one hundred.\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1922.1 - -1922. What is the closest to -0.1 in -5, n, 2\/9, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -11*d**2 + 52*d + 12. Let j be a(5). Sort j, -0.4, -5\/2, -34 in increasing order.\nAnswer: -34, j, -5\/2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12843\/16 - 801. Let w = 3\/76147 + -17209411\/4797261. Let u = w + 10127\/1260. Calculate the common denominator of u and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 17, u: 2}. Give prob of sequence kkuk.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p**3 + p**2 - p**2 - 2 - 2*p**3 + 2 + (-2*p + 1 - 1)*(p**2 - p**2 + p**2) to g*p + x + s*p**3 + y*p**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/16*78\/9. Let u(g) = 2*g**3 + 27*g**2 + 14*g + 19. Let s be u(j). Calculate the greatest common factor of 18 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z - 2*z + 2*z)*(5*z**2 + z**2 + 5*z**2) - 3*z**3 - 3*z**3 - 2*z**3 + 2*z + 4*z**3 - 16*z**2 + 16*z**2.\nAnswer: -15*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49733 is divided by 24861.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**4 - 756*j**3 - 25413*j**2 + 113940*j = 0. Calculate j.\nAnswer: -211, -45, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and 5602?\nAnswer: 5601.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/35 + (-5)\/((-25)\/(-22)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 66. Let u be t(21). Let c = 70 - 66. Solve -u*w = -c*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*j - 8092 + 8092 in the form h + w*j and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Let j be (-27)\/(-6)*8\/m. Is (2 + -24)*(-21)\/j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*x + 53 = -534, 5*c - 1500 = -x. List the prime factors of c.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 5*b. Let x(l) = -194*l. Determine x(y(a)).\nAnswer: 582*a**2 + 970*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m**2\/11 + 14148*m\/11 - 569120\/11 = 0 for m.\nAnswer: -7114, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22 + (-2 - 0) + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40619 is divided by 990?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.17665024 and 9?\nAnswer: 8.82334976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*j**5 - 85*j**4 - 45*j**3.\nAnswer: 5*j**3*(j - 9)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 8117*x**3\/3 - 7781*x**2 - 6839. Find the second derivative of v(b) wrt b.\nAnswer: 16234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4153*x**2 + 884*x - 19. Let y(l) = 2075*l**2 - 440*l + 9. Let m(p) = -3*d(p) - 7*y(p). Find the second derivative of m(s) wrt s.\nAnswer: -4132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -11*u - 21*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + 10360\/(-494) - (-48 + 34)) + (-6)\/57?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6735 - -140533?\nAnswer: 147470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -7, -3, -1 in descending order.\nAnswer: -1, -3, -7, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**4 - 2*a**4 - 2*a**4 + (6*a + 0*a - 2 - 5*a)*(13*a**3 + 21 - 21).\nAnswer: 6*a**4 - 26*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 45355749 a multiple of 149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 676\nAnswer: -3\/676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 - 42 + 6 + 3 - 1 + 1 + 4 + 1 - 4 + (-4 + 1 + 1)*(1 + 2 - 4))*(2 - 2 - 2*i)*(-6*i**2 + 3*i**2 + 4*i**2).\nAnswer: 134*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/6 - 2855*d\/3 + 8151025\/6.\nAnswer: (d - 2855)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/24 and 35\/373768.\nAnswer: 1121304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 286525?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(1 - (-2)\/(-4)). Let t(u) = -u**2 + 10*u - 5. Let o be t(10). What is the smallest value in o, f, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 30. Let j be v(15). Find the third derivative of -2*s**3 - 35*s**2 - 80*s**5 + j*s**2 + 48*s**2 wrt s.\nAnswer: -4800*s**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6818130 and 6.\nAnswer: 6818130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13068000311 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -13*f**4\/12 + f**3\/6 + 25*f. Determine a(1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2. Let m(d) = -2157417*d. What is m(v(h))?\nAnswer: -2157417*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40.9999989902 + -41. Round h to seven dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 19*l**3 + 2*l**2.\nAnswer: 19*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 582 and 7663?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/4)\/(2\/(-4)). Let j(g) = g**3 + 2*g**2 - 6*g - 4. Let z be j(-3). Suppose -20 = -4*k - 4*r, -k = -2*k - z*r + 17. Sort n, 1, k.\nAnswer: n, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/8 of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 4 = 2*m, -5 = m - 5*t. Suppose m = 6*n - 537 - 51. Let y = n + -60. What is the greatest common factor of 95 and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(200) - sqrt(200)) + sqrt(200))\/(sqrt(160)*-2) + ((sqrt(5)*2*4 - sqrt(135)\/sqrt(3))*2)**2.\nAnswer: sqrt(5)\/2 + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 7 + 0)*(4*b - 2*b + 0*b) + (-3 - 3 + 7)*(-4*b + 6*b + 0*b) + 2*b + 0*b + 0*b)*(2*b - 3*b + 3*b)*(-2*b - 2 + 2).\nAnswer: 32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -l**4\/4 - l**3 + 5*l**2\/2 + 6*l - 24. Let h = 2 - 6. Give c(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(1568)*1 - (sqrt(1568) - (-5 + sqrt(1568) + 1 + sqrt(1568)))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -23. Solve -3*r - p = -4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 divided by -5647.\nAnswer: 37\/5647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a + 1012 = 856 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, 17 in descending order.\nAnswer: 17, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206885.\nAnswer: 5, 7, 23, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 7*g + 3. Put -5, g, -3 in decreasing order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let z be t(2). Let s = -1 + 5. Let m = -45 + 87\/2. Which is the third smallest value? (a) z (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/358 and 95\/212?\nAnswer: 37948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1 + 0 - 2*z - 5. Calculate the remainder when r(-4) is divided by 1890\/648 - (44\/48 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -464.24 + -8.76. Let l = y - -480.83. Round l to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27358.24 rounded to the nearest ten?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(121)\/(sqrt(11) + sqrt(44)) - 5*(-1 + sqrt(11) + sqrt(44))**2.\nAnswer: -500 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*w**2 - 2*w + 1\/2.\nAnswer: (w - 1)*(3*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6\/(-7))\/(15\/(-105))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6\/13 - -8\/39. Let k = -198 + 1384\/7. Which is the closest to 0? (a) u (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 247060 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 10:38 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 + 15*d + 1. Let w be b(7). Let j(n) = -18*n + 33 + w*n + 8*n. Let r be j(11). Calculate the highest common divisor of r and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 - -25. Let t(r) = r**2 + 12*r + 17. Let z be t(u). Let l(o) = o**2 - 14*o + 20. Is 13 a factor of l(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 f when two letters picked without replacement from tqqtqtqfgtqt?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - o = -0*g + 8, o + 12 = -3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-6)*(-1)\/(4\/(-2)). Solve 0 = 5*p - 5*c + 5, p + 3*c = -z*c - 5 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-5) - 39189\/(-15). Suppose -6*q = 7*q - h. What are the prime factors of q?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26520 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.9 - 4.9. Let m = -2971\/2235 + -3\/745. Which is the second smallest value? (a) 3\/8 (b) s (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, p: 3}. What is prob of sequence ep?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 107733 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -f - 30. Suppose 3*y - 15 + 3 = 0. Suppose -y*p - f = -0*p + 5*i, 0 = -4*i + 8. Are -17 and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 470?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/13858 and 53\/387778?\nAnswer: 65534482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9*45\/(-81) + 22\/4. Let g = 86.9 + -87. Put w, -9, g in decreasing order.\nAnswer: w, g, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1278 - 1271 = 4*m - b, -2*m + 2*b + 8 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**5\/60 - 30*n**2. Let q(v) be the third derivative of -v**4\/12 + 2*v**2. Determine q(z(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 3. Let u be 0*(1 + (-6)\/a). Suppose u = -2*z + 4*k + 44, -4*k + 2 = -z + 30. Solve -3*l - 5*b = z, -4*l + 4*b + 37 = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2866342953?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -710 + 917. What is the least common multiple of 8 and w?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-36) + 490\/120. Suppose 9 - 18*t**2 + 6*t**3 - 3*t**5 - 8*t + 5*t + 18*t**4 - 9*t**u = 0. Calculate t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/60 + (-7)\/(-6). Suppose 5*p - 70 = w, p = 5*w - t + 15. Calculate the smallest common multiple of p and 0 + 1 - (2 + -5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-1 - -8) + (-1 - -6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*n + 324 = 150*n. Let x(c) be the third derivative of 0*c + 1\/20*c**n + 0*c**4 + 0*c**3 - 1\/70*c**7 - 17*c**2 + 0 - 1\/20*c**5. Factor x(q).\nAnswer: -3*q**2*(q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -220, 175, -4, 1, 5 in descending order.\nAnswer: 175, 5, 1, -2, -4, -220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 3039.2 to the nearest 10.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2816 is divided by 685.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7174070, -14348131, -21522190, -28696247, -35870302, -43044355?\nAnswer: -50218406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -2*u + 19, l = -5*u + 4*l - 5. Let v be 3 - (-1 - -2)*u. Let b(s) be the third derivative of s**6\/120 - s**4\/24 + s**3\/6 - s**2. Calculate b(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4243*g**4 - 2*g**2*t**3 - 9*g*t**2 + 474*t**3 wrt g?\nAnswer: -50916*g**2 - 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30*y**2 - 10941*y - 15 + 21890*y - 10949*y to the form g*y**2 + z + f*y and give z.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*f + 5218 = 5380 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21901 and 110247643?\nAnswer: 1991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1720*a**2 - 8969*a + 59367078 wrt a?\nAnswer: -3440*a - 8969","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 3*b + 288, -2*b + 17 = -236*i + 238*i + 213 for b.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3166 and 21\/16?\nAnswer: 25328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 take away 90729?\nAnswer: -90728.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 + -273. Let t = 2 + v. Which is smaller: -6.9 or t?\nAnswer: -6.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*p = 27, 0 = 5*k - 2*p + 11 - 31. Which is smaller: -8 or k?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3371 + -4057. Let b = 22787 + v. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -7. Suppose 0*w = w - 5. Let z(n) = -w*n**2 - n**2 - 3*n + 1 - 4*n**2 + 2*n. Give z(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3116989080?\nAnswer: 2, 3, 5, 269, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 47 (b) 1\/9 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + 536 + -554?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 55 + p - 110 + 60 as y + a*p and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-89)\/267)\/((-1)\/(96\/(-28)))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32912007 to the nearest integer?\nAnswer: 5737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 3 - 5)*(3 - 1 - 5)*(l + 0 + 0).\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - 10) + 23 + 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26079569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 106425 divided by -5\nAnswer: -21285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -20*o. Let j be -66*1*(-1 + (-3)\/(-9)). Let s(r) = r + 44 - j. What is s(p(d))?\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/15)\/((133\/(-3))\/19)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, 2, 4 in increasing order.\nAnswer: -3, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/15*-1*-1. Let j = -151 - -151.3. What is the third biggest value in f, 1\/4, j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2055*a - 16453. Let t(x) = 3*x**2. Give g(t(h)).\nAnswer: -6165*h**2 - 16453","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1073858, 1073847, 1073836, 1073825?\n\"Answer: -11*v + 1073869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95479*h - 2832 = 95538*h for h.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3191 and 43.\nAnswer: 137213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or 1183?\nAnswer: 1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12079 and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 11*l - 11. Let q(o) = 4 + 7 - 5*o - 2 - 4 + 1. Calculate 9*q(x) + 4*w(x).\nAnswer: -x + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29452?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -596 + 600. Suppose 0*z + 2*p + 40 = 5*z, 5*z = 3*p + 45. Put z, q, -3 in ascending order.\nAnswer: -3, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -318001419 divided by 3.\nAnswer: -106000473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor w - 5\/4*w**2 + 1\/4*w**3 + 0.\nAnswer: w*(w - 4)*(w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, k: 7}. Give prob of sequence ff.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2 - 2 + 4 + 4 + 4*y. Determine h(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -1, 5, 2\/7, 43.50475?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12776240 >= 12776240?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 11, 159, 4, 3, 124 in decreasing order.\nAnswer: 159, 124, 11, 4, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 534, 3, -0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 730.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 340*a - 18 = 338*a - 5*f, 3*a = 9*f - 6 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)*f*f*f**(-1\/10))\/((f*f**(-3\/7))\/(f\/f**(2\/17))) assuming f is positive.\nAnswer: f**(5857\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 4)\/(-8) + (319\/44 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/2, -0.1, -10 in descending order.\nAnswer: 3, 1\/2, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + 209 + (6 - 1). Suppose 3*m + 4*a = 5*a + 171, 4*m = -5*a + f. Suppose -52*p = -m*p + 5912. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m + 2. Let c be k(-2). Let g be 110\/15 - (-4)\/c. Suppose 3*y - g - 4 = -3*r, 4*r - y = 26. What is the lowest common multiple of 4 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48235?\nAnswer: 5, 11, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -17, 2\/3, 2814 in decreasing order.\nAnswer: 2814, 2\/3, 3\/5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 + 6*h**2 - 8*h - 5. Suppose -2*t = -n - 1 + 19, 4*t = -n - 24. Let p be y(t). Suppose p*a - 44 = -0*a. Does 22 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3223010 - -11?\nAnswer: 3223021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3834079?\nAnswer: 3834079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 4. Let v be f(2). Solve -2*j - 2*p - 2 = 0, j + 3*p + 9 = -v*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 - 46 = 0. Let b be (-2)\/(((-20)\/x)\/5). Let f = b + -3. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-5)*5\/(-28)*(-42560)\/(-15960)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*2*9\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = t + 4*b + 704, 2*t = -4*b + 370. List the prime factors of t.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 0 + 0)*(-6 + 5 + 5)*(4*g**3 - 5*g**3 + 3*g**3).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwr when three letters picked without replacement from nnrxww.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3629113 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - 3*y + 2*y)*(-4 + 4 + 1).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen quarters of a decade?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 648462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 5*f = 7957, 3*c - 10*f + 8*f = 23910. What are the prime factors of c?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 plus 3.26?\nAnswer: 1.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2274 and -40.\nAnswer: 90960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -736, -738, -740, -742, -744?\n\"Answer: -2*p - 734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, -89, -431, -1097, -2195, -3833, -6119?\nAnswer: -9161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-7 - -9) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.777727 or 2111?\nAnswer: 2111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -293 - -291.47. Let x = i + -0.23. Round x to one decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1370, -1359, -1348, -1337, -1326, -1315?\n\"Answer: 11*a - 1381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 52102*l**5 + 2*l**4 + 2*l**3 + 20*l**2 - 20997?\nAnswer: 3126120*l**2 + 48*l + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 19851 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2, 3, 4, 0.3, 0.1626, 67 in decreasing order.\nAnswer: 67, 4, 3, 2, 0.3, 2\/9, 0.1626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 at most 61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2371 = -6*p + p, 0 = p + o - 476. Suppose 0 = -3*j + p - 41. What is the tens digit of (3\/6)\/(4\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7, 4, 5, 223, -2 in ascending order.\nAnswer: -9, -7, -2, 4, 5, 223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 53665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -16336.\nAnswer: -1\/16336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 53455\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 16 = -2*x, -19*x - 3*p = -23*x - 22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44294, -44303, -44310, -44315?\n\"Answer: z**2 - 12*z - 44283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 5*r = -405, 802 = 2*d + r + r. Let v be 7\/2*d\/280. Solve 5*q + 33 = t + 7, 5*t = -v*q - 20 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 - 8. Factor -3*x**2 + q*x - 2*x + x + 4*x.\nAnswer: -3*x*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4 = 2. Suppose -q + 10 = -0*q. Calculate the remainder when 14 is divided by (-3)\/((-26)\/q - s).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 132. Calculate the highest common divisor of b and 1629.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 440 + 9*q - 388 - 5*q - 16*q.\nAnswer: -12*q + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.2 + -7. Let i = 0.4 + -0.1. What is the third smallest value in i, c, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.092 - 0.091914. Round x to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 47.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**2\/4 + 11895*a\/4 + 622251\/2 = 0. What is a?\nAnswer: -102, 4067","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 24.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 - 65*c - 105. Suppose 11*a + 124 - 432 = 0. Is p(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3 + 4 + ((sqrt(12) - -3*(sqrt(12) - 1*sqrt(12)))*1)\/(5*sqrt(12)\/sqrt(3) - sqrt(16)*-1)))**2.\nAnswer: 8*sqrt(3) + 9616\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 564, 2832, 6608, 11886, 18660, 26924, 36672?\nAnswer: 47898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 + 2 - 2 + (0*j + 3*j - 2*j)*(j**4 - 2*j**4 + 3*j**4) - 2*j**3 + 2*j**5 + 2*j**3 - 38*j - 5*j**5 - 8*j**5 + 7*j.\nAnswer: -7*j**5 - 31*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 204870 + -119326. What are the prime factors of r?\nAnswer: 2, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45804.32 years to centuries.\nAnswer: 458.0432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469615505?\nAnswer: 3, 5, 47, 2084561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9708*k**2 - 8914*k**2 + 13110*k**2 + 28158*k**2 + 30630*k**2.\nAnswer: 53276*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2498, 4778, 7058?\n\"Answer: 2280*b + 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = w + 5*w. What is the highest common divisor of 2 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 6*f + 12 = 0, -34308*c + 34313*c + 162 = -4*f for c.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36.82 and 0.12738.\nAnswer: -4.6901316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 81 - 797 = -5*w, 3*w = 2*p - 406. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -50, 2, 17 in decreasing order.\nAnswer: 17, 2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3970693795?\nAnswer: 5, 3079, 257921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5060 is divided by 2486.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20702 (base 12) in base 6?\nAnswer: 524402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 68 + -64. Solve 3*z - z = j for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122601 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -104, 2, 5, 10?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/333 and 38\/11.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 75?\nAnswer: -8\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 475*i - 1399. Let y(m) = -3324*m + 9812. Let l(h) = -20*u(h) - 3*y(h). Differentiate l(a) with respect to a.\nAnswer: 472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.1 - -2.1. Does 0.09 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(-12) - (-2947)\/42.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 129 = 7*w, 36 = -4*i + w - 6*w - 14 + 11 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 153 + 0.124578.\nAnswer: 153.124578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in nanograms?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mhmmvhhvmhh. Give prob of sequence hm.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -1\/21, -4\/3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112222102100 (base 3) to base 4.\nAnswer: 1013332212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 17*l**2 - 6*l - 6. Suppose 48 = 4*f + 2*c + 28, -5*c + 8 = 3*f. Let p(w) = -322*w**2 + 115*w + 115. Determine f*p(a) + 115*g(a).\nAnswer: 23*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*(2\/(-13) - (-36)\/(-104)). Let o be b - (3\/(-2) - (-54)\/(-12)). Find the third derivative of -34*j**2 + 25*j**4 - 11*j**4 + o*j**4 wrt j.\nAnswer: 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j + 12. Let y be h(-5). Solve -3 - y = -2*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 take away 12985018539070?\nAnswer: -12985018539059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 23*h**3 + 6*h**2 - 6*h + 3. Let m(w) = -70*w**3 - 17*w**2 + 17*w - 8. Determine -6*m(z) - 17*o(z).\nAnswer: 29*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1940 and 17635.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63 - -63. Let g = 0 - 4. Let p = -8 - g. Put p, o, -5 in decreasing order.\nAnswer: o, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + 0*v)*(-2*v**3 - v**2 + v**2) + 2*v**4 + 5*v**4 - 3*v**4 - 4*v**4 + 16*v**4 + 70*v**4.\nAnswer: 90*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 20. Suppose -2*w = o - 5. Let a(v) = -v**3 - v**2 - 2. Calculate a(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 459798384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 827c (base 13) to base 8\nAnswer: 43141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 89079643 to the nearest integer?\nAnswer: 9438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 169\/7 + -166\/7. Let c = 13 + -12. Sort -2\/7, c, y in decreasing order.\nAnswer: c, y, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12562?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 376333, 752711, 1129063, 1505377, 1881641, 2257843, 2633971, 3010013?\nAnswer: 3385957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/60 - 5*u**4\/12 - 32*u**3\/3 - u**2 + 3. What are the prime factors of m(-27)?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c + 4*w + 85093 - 85111, 3*c - w - 15 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 44*z + 48*z + 41 = 0, -4*k + 3*z = -36. Suppose -5*w + 6 = -2*w. Solve 1 = k*d - w*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i**(-1\/2)*i)))\/(i**(2\/9)*i*i))**(-17)*(i\/(i**(2\/7)*i))**(-12)\/((i\/i**(4\/9)*i)\/(i*i**1*i*i)) assuming i is positive.\nAnswer: i**(6571\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -3*c - 5, 3*q + 4*c = -280. Let j = q + 162. What is the remainder when j is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/(-12) + (-51)\/(-12). Determine v so that 0*v + 2*v - v**2 - x*v - 1 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-431)\/(-1724))\/(((-3)\/15)\/(552\/(-10)))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 7*i. Suppose 5*z - 2*g - 1319 = i, 0 = 2*z + 2*z - 3*g - 1051. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -24589, -1\/7, -10, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*w + 3*w - 9, 3*w = 0. Suppose 2*i = -3*y - 35, 43 = -3*i - 0*y + 5*y. List the prime factors of i\/48 + (-55)\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of 5*f**3\/3 - f**2 - f + 3. Let b(w) = -9*w - 10. Let l be b(-1). Give p(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.5 + -9.5. Which is the closest to 1? (a) 1 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = -19 + 349. What are the prime factors of s?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*o = i - 29400, 2*i = 3*o + 11760. Let x = i - 58903\/10. What is the common denominator of x and -70\/9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (-56)\/26 - (-8)\/(-52). Suppose 3*m + 2 = -x - 3, r = -m - 5*x + 3. Sort -3, -5, m, 9 in increasing order.\nAnswer: -5, -3, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j - 4. Suppose 4*z + 80 = -16. Let m be 32\/z*3\/(-2). Let x be -7*(m + 32\/(-14)). Calculate f(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -68*o**2 - 13*o**4 + 68*o**2 + (-5 + 2*o + 5)*(-o**3 + o - o).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18964.3 - -18964. Which is the second biggest value? (a) -0.2 (b) -833 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (54\/12)\/(-9) - (-117)\/18. Let g(m) be the second derivative of 1\/6*m**x + 17\/20*m**5 + 0 + 4\/3*m**4 - 21*m + 0*m**2 + 2\/3*m**3. Factor g(c).\nAnswer: c*(c + 1)*(c + 2)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 4 + 2*l**2 - 5. Let a be c(-4). Solve 4*y - a = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = a, 0 = 3*f - 5*a + 11 + 4. Let v be (-126)\/4*(f + (-78)\/(-18)). What is the greatest common divisor of v and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = 159*g + 2 + 552 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7727.05 kilograms to milligrams.\nAnswer: 7727050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -15.74719 to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 7 - 3)*(-1 + z + 1 + (1 + 1 + 0)*(-7*z + z + 3*z))*(-2 + 0 + 0)*(-z**2 + z - z) to the form o*z**3 + m + u*z**2 + c*z and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1450, 1414, 1378, 1342, 1306?\nAnswer: 1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*q - 14, 3*n + 2*q = 4*q - 18 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of u**4\/4 - 31*u. Let c(p) = -31*p**2. Determine c(i(s)).\nAnswer: -279*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 - 11*z - 9. Suppose -6*y - 4*y = 40. Let n be l(y). Factor -n*k - 9*k - 3*k**2 - 7 - 5 + 0.\nAnswer: -3*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15164 + 204791. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 90.79 + -91. Is -2\/7 equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2 + 2*k**2 - 8*k + 9 - 3 - 3. Calculate the remainder when 15 is divided by w(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -35, 4, 1 in ascending order.\nAnswer: -35, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67, 93, 153, 259, 423, 657, 973?\n\"Answer: 2*x**3 + 5*x**2 - 3*x + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*c - 1 - 27*c - 6*c + 12*c**2 + 5.\nAnswer: 2*(c - 2)*(6*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -462*n**4 + 11541*n**3 - 30267*n**2 - 594*n = 0.\nAnswer: -3\/154, 0, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 776956.24 to the nearest one hundred.\nAnswer: 777000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065 = 13*l + 844 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 22*m - 29. Give z(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 19*a. Let u(y) = -20*y. What is 6*s(k) + 5*u(k)?\nAnswer: 14*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -2 - (1 - -8) - 11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6026 - -5013. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3337930254, -3337930253, -3337930252, -3337930251, -3337930250, -3337930249?\n\"Answer: w - 3337930255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1732 - -1689.96. Let w = 42 + p. Suppose 2*y - 4 = -2. Is w at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of t**4\/12 + 3*t**3\/2 + 7*t**2\/2 - 3*t. What is the remainder when 55 is divided by s(-11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + (-53*(-3)\/24 - 4). Which is the biggest value? (a) x (b) 2\/5 (c) -3 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-162)*-9*-15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-453215)\/(-16850) + 2 + -2. Let d = -269\/10 + j. Let s = 5399\/2359 + d. Which is greater: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of b**4\/12 + 3*b**2\/2 + 77*b + 76. Let o(t) be the first derivative of g(t). Let m(y) = -2*y**2. Determine m(o(r)).\nAnswer: -2*r**4 - 12*r**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of -y**5\/4 - 13*y**4\/24 - 37*y**2. Let q(j) = 7*j**2 + 6*j. What is 6*m(n) + 13*q(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p - 18. Let x(j) = -j - 9. Determine 2*m(y) - 5*x(y).\nAnswer: -y + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gxl when three letters picked without replacement from {a: 2, l: 3, x: 6, g: 1, o: 2}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.23+3.456\nAnswer: 3.226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 9*x - 2. Let d be 66\/18 + 2\/(-3). What is the remainder when a(d) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 7*c = 3*c + 4, 0 = -2*z - 5*c + 2. Suppose z = -t + 2*f + 14, -4*t + f = -52. Calculate the remainder when -6*2*34\/(-8) is divided by t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 11*p**3 - 12 + 5)*(25 - 1 - 7) in the form m*p**3 + g*p + w*p**2 + a and give m.\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 + 25*l**2 + 97*l - 52. Let v be f(28). What is the greatest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6160968.7894281 - 0.07.\nAnswer: -6160968.8594281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -2694?\nAnswer: -2\/1347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - 54 - (18 + 4 + 4)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 160281.\nAnswer: 2\/53427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 5*p - 9. Is n(-7) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k**2 - 4*k - 4. Let v(x) = 2*x - x - 1 + 0*x**2 + 2 + x**2. Let a(j) = t(j) + 4*v(j). Let b(w) = 2*w**2. Calculate a(b(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26443\/15 + 1763. Factor u*d - 4\/15 + 2\/15*d**2.\nAnswer: 2*(d - 1)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = s + 4, 2*s + s + 12 = -5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 3\/4*f**2 - 1 + 1\/4*f**3 + 3\/4*f. Suppose d(o) = 0. What is o?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s + 2*s - 2*s - 8*s + 8*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -23306.\nAnswer: 93224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 40 = 22*f, 0 = -3*p - 55*f + 56*f - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75320.17 weeks to seconds.\nAnswer: 45553638816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2041, 8098, 18193, 32326, 50497, 72706, 98953?\nAnswer: 129238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1489 - 2.\nAnswer: -1491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 484 and 1126.\nAnswer: 272492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3.32748 + 29\nAnswer: 32.32748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3118*w**4 + 2383*w**2?\nAnswer: 74832*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 548823*s**2. Let f(z) = -2*z. Calculate y(f(t)).\nAnswer: 2195292*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z + 7. Let l be o(-4). Let i(d) = -d - 1. Let k(h) = 4*h + 4. Let r(y) = -3*i(y) - k(y). Calculate r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 19*g - 8. Let n(y) = y**2 - 5*y + 2. What is -9*n(h) - 2*r(h)?\nAnswer: h**2 + 7*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.32 (b) 6\/5 (c) 5\/2 (d) -11\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 23448 = -2*t + t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/427378 and 71\/269598?\nAnswer: 167959554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15002007 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -33, -67, -101, -135, -169?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15\/m*m**(-3\/11)\/m)**(-17\/3) assuming m is positive.\nAnswer: m**(-2380\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -1\/24*a**4 + 0*a**3 - 7*a**2 - 7 + 0*a. Let g(i) be the second derivative of s(i). Determine g(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -278, -573, -886, -1217, -1566?\n\"Answer: -9*b**2 - 268*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a**4 - 2*a - 4*a - a - 4*a wrt a.\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*i = 384*i + 266959000. What is i rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014005417 to 6 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 10. Let s(u) = u**3 + 7*u**2 + 10. Let a be s(-7). Let x be f(a). Let d = x + 1. Solve -i + 15 + d = -5*c, 4*i = 4 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 4:22 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 + 36. Let y be (74\/1 - 3) + -1. Calculate the highest common factor of y and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vjjjjvjjjjvjvjjvjjjj. What is prob of picking 1 v and 3 j?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q + 5 = 9*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 4 (b) -3 (c) 0.2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.2 - -2.3. Which is the biggest value? (a) 1 (b) 2\/7 (c) k (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 + (-5)\/(5\/(-2)). Let s(i) = -3*i + 4. List the prime factors of s(c).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**3))\/r**(2\/13))\/(r**0)**(-1))\/(r\/r**(2\/3)*r*r**(-3\/8))**(1\/26) assuming r is positive.\nAnswer: r**(-1991\/624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 10519197?\nAnswer: -5259598.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42771?\nAnswer: 3, 53, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 + 231\/4. Let l = 5.81 - 4.37. Let p = 1.94 - l. Which is the closest to -0.2? (a) p (b) 3\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.98948404 to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(2 + 0)*-3. Let v be (-3 + -1 + 8)\/1. Let s = j + v. What is the least common multiple of s and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220603?\nAnswer: 29, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r**3*v**2 - 7*r**3*v + 4824*r**3*w + r**2*v + r*u*w + 13*r*v**2 + 12*u*v - 2*v**2*w wrt w?\nAnswer: 4824*r**3 + r*u - 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(102)\/sqrt(2)*5)\/(1*1*sqrt(300)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, p: 3, t: 1, h: 1, s: 3}. Give prob of sequence sjps.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-7)\/42) - -20. Suppose -24 - 28 = -l*t. Solve 3*d + 2 = 2*s, 0 = 4*s - t*d + 7 + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001618 rounded to 6 dps?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 8) to base 7\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*1 + 45 + 33\/(-11). Suppose 4*z = 5*m - 104, m + 0*z + 4*z - w = 0. Is m >= -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -281 + 288. Let q(g) = -15 - j*g - g**3 + 9 + 3 + 5*g**2 - 14*g**2. What is q(-8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8711.969 - 8728. What is a rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4578 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 3*n**2 + 4*n + 2. Let k be z(-5). Let y = k - 21. Let t = -7 + y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21087, -21086, -21085?\nAnswer: -21084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(288)*5)**2 + 4.\nAnswer: 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -640*z. Let p(r) = -8*r**2. Calculate p(b(s)).\nAnswer: -3276800*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 11:21 AM?\nAnswer: 1:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/63 and 29\/45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.0269 times 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from alfwsalvawfvwlsvwv. Give prob of picking 1 v and 1 s.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/18 and 214\/(-36) - (-14 - -16).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:17 AM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4\/79 or -1?\nAnswer: -4\/79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 364 (base 7) to base 12.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 323?\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.1 - -1. Let f = 2 + -1.99. Let r = -0.99 - f. What is the third biggest value in m, r, 2\/21?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -16*n**2 + 2322*n. Let m(r) = 6*r. Calculate j(m(t)).\nAnswer: -576*t**2 + 13932*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lv when two letters picked without replacement from ulllvvvvxx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 5*o - 8*o + 8*o - 9*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1127.90550422 - -1126.60936. Let y = -69.29610722 - q. Let p = -68 - y. What is p rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -119 + 198 + 3545*m**4 + 50*m**2 - 4*m - 65 + 5*m wrt m?\nAnswer: 85080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1373563676.\nAnswer: 2, 3853, 89123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.997 + -7.057. What is z rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 63*f + 2. Let w = 15 + -14. What are the prime factors of n(w)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2899 + -69575\/24. Put 0, 1\/10, a, 1 in decreasing order.\nAnswer: 1, 1\/10, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*x = -22*x - 4*s - 26, -3*x = -4*s - 34 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -114, 0.\nAnswer: -114, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r - 1 + 13*r + 3)*(5 - 2 - 4)*(-1086 - 960 + 1552).\nAnswer: 4940*r + 988","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*a + 77 + 11 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 22797942.5 to the nearest ten thousand.\nAnswer: 22800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 = -67. Differentiate -3 - 28 + f*b + 3 with respect to b.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -5*x**3 + 35*x**2 - 35*x + 25. Let w(q) = 5*q**3 - 33*q**2 + 36*q - 24. Let b(o) = -4*g(o) - 5*w(o). Factor b(h).\nAnswer: -5*(h - 2)**2*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 936 = -932, -b = -2*q - 6 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 288. Let t = j + 269. Let v(z) = -z**2 - 5*z - 4. Let k be v(-3). Solve k*p + 6 + 4 = t for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100) - 1*sqrt(539))**2.\nAnswer: 8019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 6 = -4*c - 0, 4*l = 5*c. Let r(a) = 167*a**3 - 5*a**2 - 3*a + 4. Let s be r(c). Round s to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266048 to the power of 1\/2, to the nearest integer?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 1116080?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 212125 and 1527300?\nAnswer: 7636500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2256a (base 12) to base 6\nAnswer: 551414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of 28 - m + 28*m**2 - 3\/20*m**5 + 3\/2*m**3 + 0*m**4. Differentiate h(q) with respect to q.\nAnswer: -9*q**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0*y = 0. Suppose 4*d - 4 = 0, 5*g - 413 = -y*d + 2*d. List the prime factors of g.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 22 - 6. Solve -5*o = v - 29 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*j**2 + 38*j**2 - 56*j**2 + 95.\nAnswer: 17*j**2 + 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -419 - 4?\nAnswer: -422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(209)*-4 + sqrt(209))\/((2*sqrt(132))\/sqrt(12))*-4.\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) -8\/187 (b) 5 (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -12097*h + 6086*h + h**2 + 6080*h. Let n(d) = 3*d. Calculate n(x(j)).\nAnswer: 3*j**2 + 207*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 76181\/29 + -2626. Is 0 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.16, -2, -1\/16, -13 in ascending order.\nAnswer: -13, -2, -0.16, -1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10454445 - -2?\nAnswer: 10454450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41959*q + 42688*q + 40873*q - 120670*q to l + n*q and give n.\nAnswer: 4850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -4*z + 2217, 5*f - 1115 = -0*z - 2*z. Does 83 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/4)\/((-36)\/(-18))*-2532.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -14 + 18 - (-2 - -5 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*sqrt(40)\/(3*sqrt(2)))\/((-2*sqrt(216)\/sqrt(6))\/sqrt(9)) + -4)**2.\nAnswer: 4*sqrt(5)\/3 + 41\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/7 - 2668647*d\/7 = 0. Calculate d.\nAnswer: -2668647, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 12:15 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -35 + 46?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (116\/638)\/(9\/(-33))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -121140 divided by 24228?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6749501*c**3*k**2 - 2*c**3*k + 4*c**3 + 41*c**2 - 14*c*k + 171625*k**2 wrt c.\nAnswer: -40497006*k**2 - 12*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1690500929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(4*1*sqrt(171) - sqrt(171)) + -1 + -6*sqrt(171)*-1)**2*-3.\nAnswer: -41556 + 162*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.3, 2\/7, 0, -4, -612\/733?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {p: 7, e: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176320315.\nAnswer: 5, 35264063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*p - 24204 = 0, 3*c = 5*c - 2*p - 24210. What is the thousands digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000663 rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 17 = -7*n. Let q(h) = h**2 - h - 17. Let t be q(n). Let b = t + -151. Calculate the greatest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -3, 5 in increasing order.\nAnswer: -3, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-24)\/15)\/(2\/15). Let r = -12 - z. Suppose 3*i - 7 - 8 = r. Solve 3*m + 5*x = -19, i*m - 3*x - 34 = -9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 73403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k + 3*k + 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 2*h**4 + 10 + (-2*h - h + h)*(-3*h**3 + 0*h**3 + h**3) + 0*h**2 + 2*h**4 + 0*h**2)*(196*h + 185*h - 372*h).\nAnswer: 72*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 2*d + 5*f - 17, f = 2*d - 20. Suppose 0*n - 4*n + 16 = 0. Suppose -n*l + l = 0. Solve 3*r + d = -l*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**1*h)*h*h*h**(-5)*h**(9\/2)\/h*h*h**(-1\/3)*h assuming h is positive.\nAnswer: h**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 6. Let v = o + -13. Let x = 1 - 0.8. Which is the second smallest value? (a) v (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -141255 divided by 129.\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:43 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1111001111000 (base 2) to base 15\nAnswer: 24a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 5*l - 1. Let u be t(-4). Solve u*d - 2 = 2*d - 5*i, 5*d = -5*i + 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:00 AM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8073212348.\nAnswer: 2, 17, 1091, 108821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -208.1751685 to 3 dps.\nAnswer: -208.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2757\/5 + -551. Let l be 128\/336 - 4\/(-14). What is the closest to q in -10, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + p**2 + p**2 + 2*p**3 - p**2 + p**2 + 8*p**4 - p to the form g*p + i*p**2 + z*p**3 + t + q*p**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.6 + 1.8. Let m = -3.3 - x. Let i = -2.6 - -2.5. Sort i, 2, m in decreasing order.\nAnswer: 2, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -365*s + 2*s = 214*s - 12117 for s.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -w + 15, 4*w = 2*o + 30. Let n = 4 + 5. Calculate the remainder when n is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6294 * -8.\nAnswer: 5.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-620)*52\/(-13)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 98*t**3 - 27 + 27 + 238*t**3.\nAnswer: 336*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 600642 and 686?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 1159.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83696 - 68162 = -14*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 284 + -144. What is the greatest common factor of r and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8719*m + 7159 wrt m.\nAnswer: -8719","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 30 - 40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12.3 + -2.7. Let o = -919 + 935. Let z = q + o. Which is bigger: z or -10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -509960*q - 1529885. Determine f(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.36 + -0.64. Let b = 5 + w. What is the closest to b in 4\/5, -0.3, -3\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*g = -801, -3*f = -3*g - 468 - 12. Let i = -6281\/39 + f. Let m be -3*7\/(-9) + 2\/(-6). Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/4455 and 62\/495.\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(475) - (4 + sqrt(475) + sqrt(475) + -2 + sqrt(475))) + -2 + sqrt(475)*3 - -5*(((0 + sqrt(475) - sqrt(475)) + -2 - sqrt(475)) + 0)))**2.\nAnswer: 680*sqrt(19) + 7889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4 - 1. Suppose 43 = u*g - 20. Let r be (-2)\/(-42) + 6\/g. Does 1 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-9\/7))\/o**(-10\/3))**(6\/31))**(-11) assuming o is positive.\nAnswer: o**(-2596\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 705*p = 701*p + 88, 3*p + 89 = 4*j. Solve j*m - 4 = 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 474153 and 4209.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -5*q - 9. Let i = -38\/75 - 4\/25. Put -3, i, q in ascending order.\nAnswer: q, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.03437*-0.4\nAnswer: -0.013748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21352 (b) 332\/3 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7.8, 0, 7186, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -3 (b) -2\/3 (c) -1\/2 (d) -14\/827 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:16 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4 - (-27)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 0.2, 1\/4, 4, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -2.7. What is the nearest to 0.1 in 0.1, t, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 7*i + 35. Give l(5).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -309344727.\nAnswer: -309344726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0028 to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -29*b**3 - 153*b**2\/2 - 32. What is the second derivative of r(x) wrt x?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 6:04 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-56)*-2*(-4)\/(-6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -3*v**2. Suppose 20*z = 23*z. Let i(a) be the third derivative of 0*a - 1\/20*a**5 + z*a**4 + 0 + 0*a**3 + 2*a**2. What is h(i(x))?\nAnswer: -27*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212088?\nAnswer: 2, 3, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 37*t**2 - 9*t + 4. Suppose -3*m = -1 - 20. Let j be o(m). Find the common denominator of 91\/8 and 6\/(-21) + j\/(-84).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8512 and 9204?\nAnswer: 19586112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 48 and 203.1.\nAnswer: 9748.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.1412129 rounded to 1 dp?\nAnswer: -44.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4950 divided by 45\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 891 + -1016. Which is smaller: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-5) + (-7)\/(-35). Suppose 2 = -s*x + 6. Solve -x*m = -0 - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvnns. What is prob of picking 3 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -234 + 123142?\nAnswer: 122403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(891) + 1 + -2 + sqrt(11)*-2 + -5)**2 + 3.\nAnswer: -84*sqrt(11) + 578","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - -85 - (2 + -2 + 3 + -8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**5\/5 + 5*o**4\/4 - 107*o - 104. Differentiate c(h) wrt h.\nAnswer: -4*h**3 + 15*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8 (b) -1\/127770 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) + 0)**2*-6 + 5 + (sqrt(1300)*1)**2 - (-5*sqrt(1300)*-1 + ((sqrt(1300) + 1 - sqrt(1300))**2*1 - sqrt(1300)))) + 1.\nAnswer: -6495 - 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6) + 200\/3. Calculate the highest common factor of n and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83637 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbjhqtjjhtdb. Give prob of sequence jdhb.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2002 (base 15) in base 13?\nAnswer: -30c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-53)\/11 - 22\/121. Suppose 2*x + 20 = -3*x. What is the third smallest value in x, s, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -528 + 528.06. What is the biggest value in o, -9, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 163 = o, -2*q - 39*o = -41*o + 160. Sort 5, 3, q in decreasing order.\nAnswer: 5, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -d + 3*s + 12, -d - s = -2. Suppose 5*b = 4*o - 2 + 16, 3*o = -d. Solve b = 5*a - 8 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -974.27 rounded to the nearest ten?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 47*d**3 + 6*d**2 - 5*d - 1. Let o be s(3). Solve -2*g + 1295 = o for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 2*i. Let l(x) be the third derivative of -x**6\/120 - x**5\/60 - 11*x**2. What is k(n) - 3*l(n)?\nAnswer: 3*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 15\/(-10) + 4. Sort 2, g, 0, -34.\nAnswer: -34, 0, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**4 - 2*r**4 - 2*r**3 - 2*r**4 + r**4 + 2*r**2 as d*r**4 + s*r**3 + m + g*r + x*r**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 383 = 172*b - 477. Let d(c) = c**3 + 4*c**2 + 2*c + 2. Let z be d(-2). Which is bigger: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/16 + (-5895)\/(-360). Solve -7*o + 2 - m = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -550 - -587586?\nAnswer: 587036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2\/4 - 91733*r\/4 - 8172810 = 0?\nAnswer: -355, 92088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 40 + 590. Let h be 13\/11 + -4 + v\/(-33). Suppose 3*n - 7 = -h. Solve -4*w - 4 = 4*o, -n*o - 2 = 2*w + 2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*v**3 + 4 - 1 - 34*v**2 + 117*v + 118*v - 238*v as j*v**3 + r + y*v**2 + p*v and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -2) + -2 - 3 - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, u: 1, x: 1, r: 3, z: 2, y: 3}. Give prob of picking 1 x and 1 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-9))\/((-2)\/(-9)*-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2361 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w + 1. Let h be t(4). Let a(l) = -l**2 + 10*l + 5. Let q be a(9). Let u = q - h. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 1\/11 (c) 0 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3))**(-13))**(-2\/63)\/((j**(-1))**(-15)*(j\/(j**(-1\/4)\/j))**(2\/19)) assuming j is positive.\nAnswer: j**(-110419\/7182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {b: 3, v: 4, y: 2, i: 1, d: 6}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 + 4 + 3*f - 2*f**2 + 5*f**2. Calculate the remainder when 11 is divided by j(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 488638 and 24544?\nAnswer: 101636704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2081 = -4*o - 5*s + 1818, 0 = -2*s + 6. Put -3, -4, o, 5 in descending order.\nAnswer: o, 5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6 - (-7 + 4))*(-2)\/(-18). Let i = -68 - -347\/5. Is i greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-2)\/18*(182 + -185).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617013 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (269*k - 536*k + 270*k)*((-k + 0*k + 0*k)*(2 - 4 + 4) + 5*k - 3*k - 3*k).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32291336 and 8911?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 7*y**2 + 2. Let o be x(-7). Suppose 0 = -l + o*l. Find the common denominator of 57\/2 and (-85)\/(-4) + -1 + l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1*(sqrt(637)*-4 - sqrt(637)) + 1 + (sqrt(637) + -2 + sqrt(637) + -1)*-3))**2.\nAnswer: -6160*sqrt(13) + 308708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {b: 6, w: 1, i: 5, o: 5}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 8) in base 15?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -244 divided by -2\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6f5a + 71?\nAnswer: 6fcb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.43 and 10?\nAnswer: 9.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11660, -23877, -36122, -48401, -60720?\nAnswer: -73085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -78 (base 12) to base 8.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 5*n**2 - 9*n + 6. Suppose -f - 4 = 2. Let b(x) = x**2 - x + 1. Let h(g) = f*b(g) + k(g). What is the second derivative of h(p) wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 4*l - 3*z, 3*l - 3*z + 18 = -7*z. Suppose 4*t = 6*t - 4. Let j(x) = -20*x**t - x - 8 + 21*x**2 + 3*x + 7*x. What is j(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 4. What is v(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - -18?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17305281 and 63452697?\nAnswer: 190358091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174944*d*w**2 - 2*d - 12*w + 2008 wrt w.\nAnswer: 349888*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 15 = -3*f - 6, -15 = -5*f - 4*a. Suppose 0 = -f*d - 3*r + 84, 3*d - r - 21 - 71 = 0. Is 28 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4102 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.38 + -0.08. Let n be -2 - (-1 + 1314\/(-7)). Let q = n + -187. Which is the third biggest value? (a) q (b) k (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -47*m. Let q(a) = -166*a. Give t(q(o)).\nAnswer: 7802*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of s**4\/24 + 5*s**3\/6 - 6*s**2. Determine g(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c + 85. Suppose -3*g - 3*w + 18 = -0, -4*w = -2*g + 18. What is the remainder when 109 is divided by z(g)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31242 + 52226. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 + 8. Let d(s) = -s**3 + 9*s**2 + 15*s - 8. Let z be d(w). Let a = z + -13. What are the prime factors of a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11? (a) 0.2 (b) 1 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 0.2, -20, 1, 6\/11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**2 - 87*n - 12142. What is l(67)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54.4 - -493.5. Let x = 548 - c. Is 1\/29 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*2)\/sqrt(12) - (sqrt(18) + 0 + 0)**2.\nAnswer: -18 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3\/2 + 806717*v**2\/2 + 6453640*v + 25814432 = 0. What is v?\nAnswer: -806701, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -8*7\/(560\/(-50)). What are the prime factors of n + (1038 - (8 - 7))?\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1+2070.52300993\nAnswer: 2069.42300993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of 0 + 1\/2*y**2 + 1\/4*y**5 - 2*y + 0*y**4 + 0*y**3. Suppose 4 = -564*j + 568*j. What is d(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2662) - 3*sqrt(2662))*-4*1)\/(1*3*((1*(sqrt(44) - sqrt(11)) - sqrt(11)) + sqrt(11))).\nAnswer: 88*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -23. Suppose 0 = -p*z - 6*w + 2*w, 12 = 2*z - 2*w. Suppose -z*q = -2*v - 40, q - 4*v = v + 28. What is the highest common factor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -154, -336, -518, -700, -882, -1064?\n\"Answer: -182*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 337 = -i + 54, -3*c = 4*i - 1564. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuauuuuuauuuuuuuuu. Give prob of picking 1 a and 2 u.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67280?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 not equal to 483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhw when three letters picked without replacement from {w: 7, i: 5, h: 1, u: 5}?\nAnswer: 35\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h + h + 0*h + 4*h**3. Let v be d(1). Solve 4*l + 2 - 1 = 3*p, 0 = -v*l - 5*p + 21 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 26. Suppose 4*r = 15 - w. Put -11, r, 1 in descending order.\nAnswer: r, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 w when four letters picked without replacement from {k: 7, i: 3, w: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013443 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4\/8 - 4149*h**3\/8 + 1436589*h**2\/8 - 1432443*h\/8 = 0.\nAnswer: 0, 1, 691","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -9. Calculate the remainder when 24 is divided by r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356226?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12\/2035 + -706529\/65120. Let r = -10561\/864 - h. Calculate the common denominator of -109\/18 and r.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11420.3 + 12257. What is g rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from gggrgggggrr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**17*d**(-3\/11))\/((d*d*d**6*d)\/d)**11)**(-1\/10) assuming d is positive.\nAnswer: d**(1147\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 85947?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 d, and 1 i when four letters picked without replacement from mttmddddmtdti.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (292\/(-1314))\/(1\/(-18)). Let o(s) = 8*s - 3. Let d(r) = -r + 1. What is l*d(w) + o(w)?\nAnswer: 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) -163 (c) -0.5 (d) 2\/5 (e) -1\/36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3081*k + 114908 - 327 + 46715 = 19570 for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a**3 - a - 4*a**3 + 5 + 0*a. Suppose 5*h - 8 = -2*f, 0 = h - 3*f + 13 - 1. Let q be g(h). Solve q*d + 20 = d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x - 80 = -21*x. Let r = 4 - x. Which is smaller: r or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 2445.\nAnswer: 9780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 29?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4705773511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 787 + -786. Let g be 99*1\/27 - q\/(-3). Let j be (0 - 1)\/((-2)\/88). What is the highest common divisor of j and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 7. Let x(w) = -2*w + 8. Calculate 3*q(u) - 2*x(u).\nAnswer: -2*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1020665 is divided by 255133.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -60, -117, -160, -183, -180, -145, -72?\n\"Answer: k**3 + k**2 - 67*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 11:37 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13\/(-13) - 1 - (-8 + 1). Let z(d) = -9*d - 4. Let g(s) = -8*s - 3. Let a(h) = b*g(h) - 4*z(h). Let c(q) = 5*q - 2. Calculate -6*a(p) - 4*c(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5879, 5871, 5865, 5861, 5859, 5859, 5861?\nAnswer: 5865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.09, -4, 0, 0.5, 0.3, -7, 28.\nAnswer: -7, -4, -0.09, 0, 0.3, 0.5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ae when two letters picked without replacement from bwcciea.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -27*a + 3*a**2 - 2*a**2 + 23*a**2 + 29*a. Let r(l) = -l. Calculate v(r(m)).\nAnswer: 24*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-17)\/(l**(2\/9)*l))\/(l\/l**(-16\/5)*l*l\/(l*l**27)*l))**(-2\/15) assuming l is positive.\nAnswer: l**(-232\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1567*w - 2. Let r(y) = 532*y**2. Give g(r(s)).\nAnswer: 833644*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/6 - k**3\/6 + 7*k**2. What is the first derivative of j(c) wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 316992 and 2119503?\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 o when three letters picked without replacement from {j: 1, y: 1, o: 2, g: 2, t: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 11:09 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4 - 34. Let q = -7 + h. Solve -2*l - 9 = -3*u + 2*l, -q*u + 9 = 3*l for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 PM and 2:25 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-141)\/376)\/(6\/(-128)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2621609736 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.74\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**4\/17 - 506*l**3\/17 + 434*l**2 - 26166*l\/17 = 0?\nAnswer: -267, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 24.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -742*v + 5196. Let p be g(7). Solve -h + 27 = 5*j, 2*j + 3*h - 20 = -p*h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-96)\/4)\/4). What is the third biggest value in y, -4, 0.6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c*i**2 - c*i*j**2 + 2*c*j**2 + 21618*i**2*j**2 - 5*i**2*j - 3*i*j**2 - 30*j + 5 wrt i.\nAnswer: 32*c + 43236*j**2 - 10*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**3\/3 + 103*s**2\/2 - 1596*s + 142. Solve m(l) = 0 for l.\nAnswer: 19, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 0*f - 32 = 0. Solve f*p - 3*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -110 + 4?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17230, 17227, 17224, 17221?\nAnswer: 17218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.47 - 0.17. What is the closest to -2 in -2\/21, g, 5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-5 + 13))*(0 - 1). Let q(k) be the third derivative of 0*k + 3\/8*k**x + 0 + 4*k**2 + 1\/240*k**5 - 1\/16*k**4. Solve q(i) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -525.51 - -537. Let w = j + -11.51905. Let i = 0.03 + w. Round i to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 32684241, 65368485, 98052729, 130736973, 163421217?\n\"Answer: 32684244*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3233303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 5. Suppose 0 = 2*a - y*a + 12. Suppose -2*p - 40 = -a*p. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -780 - 2457?\nAnswer: -3127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 807, 3876, 10347, 21330, 37935, 61272?\n\"Answer: 185*f**3 + 591*f**2 + f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -161606.42 rounded to the nearest one thousand?\nAnswer: -162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**5 + 128*u**4 - 776*u**3 - 1008*u**2 + 11556*u - 15984 = 0. What is u?\nAnswer: -37, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -168273 divided by 18697?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t + 6. Let x(h) = 2*h - 5. Let r(y) = 3*k(y) + 2*x(y). Let q be r(-8). What is the common denominator of 55\/18 and 1 - (3 - (-27)\/q)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4051 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 12 = -0*q - 3*q, q + 4 = r. Let l = 9 - 4. Suppose -l*y + m - 26 = 0, -3*y + y = m + 9. Is q greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, -34, 8 in ascending order.\nAnswer: -34, 2, 8, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - 6*sqrt(171)*1 - sqrt(171)) + (sqrt(171) - -4*-1*sqrt(171)))\/(1*sqrt(441)*-1).\nAnswer: 9*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h - 113*h**2 + 794*h**4 + 4*h + 795*h**4 - 1597*h**4 - 3*h to j*h + a*h**4 + v*h**2 + c*h**3 + q and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k + 172. What are the prime factors of a(0)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -45*l**2 - 7*l - 25. Let c(h) = -92*h**2 - 15*h - 50. Let q(o) = 4*c(o) - 9*t(o). What is the hundreds digit of q(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 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: Calculate -4 - (-4 + (-3 - -8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560709?\nAnswer: 3, 19, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 724369\/148845 - -2\/29769. Let m = 498 - 1514\/3. Let c = t + m. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4138, -16429, -36884, -65503, -102286, -147233, -200344?\nAnswer: -261619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/3 + 46*20\/4392. Let h = 6\/61 - p. Factor 2\/9*k + 0 + h*k**2 - 2\/9*k**4 - 2\/9*k**3.\nAnswer: -2*k*(k - 1)*(k + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*w = 2258*w - 63585 - 45033 for w.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2833*q**3 - 3*q**2 + q + 2. List the prime factors of n(-1).\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + g - g)*(2 - 2 - 2*g) + (4*g**2 + g**2 - 7*g**2)*(5 - 5 + 2*g)*(2*g - 7*g + 3*g).\nAnswer: 12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4452 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -12360299 not equal to -12360296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 596 - -120. Let w be (-10)\/50 + -2 + a\/5. Suppose 4*l - w = x, -3*l - x = -2*x - 105. Does 16 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 2:33 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.157 and 99147.6589174.\nAnswer: 99147.5019174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 1, h: 1}. Give prob of sequence rh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 4*c**2 + 7*c - 5. Calculate the remainder when u(-8) is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of f**6\/360 - f**5\/20 + 3*f**4\/8 - 3*f**3\/2 - 10*f**2. Factor b(v).\nAnswer: (v - 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -372 - -367. Let l = 1 - q. Calculate the remainder when 76 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/6 + -9 + 12?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 0 - (1 + 0). Let k = -16 + 18. Let i = k - s. Solve -2*a - i = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0865565mm to micrometers.\nAnswer: 86.5565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21596389 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1189.\nAnswer: 4\/1189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1074 divided by -6\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/18*-3 + 5988\/36?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146334754?\nAnswer: 2, 29, 2523013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2159 = 126*n + n for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 0, -32, -112, -264, -512?\n\"Answer: -4*q**3 - 4*q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10786419*i**5 + 6731*i**2 - i + 164 wrt i.\nAnswer: -647185140*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -566 + 4406 = 24*s. Calculate the highest common factor of s and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 712649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of 3*r**5\/35 + 31*r**4\/28 - 4*r**3\/7 + 30*r - 11. Let s(f) be the first derivative of h(f). Factor s(j).\nAnswer: 3*j*(j + 8)*(4*j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**5 + 356*x**4 + 6896*x**3 + 31396*x**2 - 6894*x - 31752 = 0. What is x?\nAnswer: -9, -1, 1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/3*(36\/14)\/(300\/280). Solve o*d = -3*b + 5, 4*d - 15*b - 3 = -20*b for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 98*c**3 - 3*c**2 - 4*c - 2. Calculate x(-1).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*x - 14*x**2 - 9*x - 10*x.\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 215016994 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 490\/2058*(-4)\/10?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/2571 and -13\/2337.\nAnswer: 2002809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 11.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4\/4 - 2311*s**3\/4 + 21811*s**2\/2 - 42416*s + 32088 = 0 for s.\nAnswer: 1, 4, 14, 2292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/3)\/(-2)*21276\/(-19503)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -90964029.38 to the nearest one hundred thousand.\nAnswer: -91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3535 + 3506.79. What is v rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -393416, -393415, -393416, -393419, -393424?\n\"Answer: -j**2 + 4*j - 393419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 204 - (-3 - 0\/(-1)). Suppose 2*f - t = 85. Suppose -3*a - 425 = -5*y - f, -y = 5*a - 39. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-46)\/(-14) + 3)*4361\/(-1246)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 4*p - 11, -4*p + 11 = 5*s + 18 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 11112427.2 and 271205.\nAnswer: 11383632.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12*t**2 + 15*t + 52. Let r(p) = 5*p**2 - 8*p - 26. Let c(u) = -2*q(u) - 5*r(u). Let x be c(10). Calculate the greatest common divisor of 260 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10011110010000111 (base 2) to base 13\nAnswer: -2ab62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - 11 + 11)*(0 - 3 + 0).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**3 - 4*t + 2. Let c be 0*(-5 - -2)\/(-6). Let s(y) = c*y**3 + 1 - y - y**3 + 0. Let i be ((-36)\/45)\/(2\/(-10)). Determine i*s(q) - n(q).\nAnswer: -2*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50347 and 506.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45840 is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - 26. Suppose -7*o + 21*o - 182 = z. Calculate the highest common factor of o and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i = 3*g - 174, -266 = 2*g + 4*i - 190 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24075719 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 57\/2 of a millennium?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -124329859 at most -124329861?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (3 + -4 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5562 + 13406?\nAnswer: 20068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**7\/210 + 7*m**6\/150 - 3*m**5\/50 - 17*m**4\/30 + 53*m**3\/30 - 21*m**2\/10 + 895*m + 2. Factor i(x).\nAnswer: (x - 1)**3*(x + 3)*(x + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 4*n + 4*n. Suppose -3*d = n*d - 47135. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -4, -56, -12 in decreasing order.\nAnswer: -3, -4, -5, -12, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 5*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*c + 39816, -30*k + 4*c - 39781 = -31*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 51.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of 71*z**3\/6 - 2*z**2 + 4*z. Let x be s(4). What is the least common multiple of ((-4)\/10)\/((-8)\/x) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y = -102*y + 53820. Is y a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of -2*v**4\/3 - 4*v**3\/3 - 164*v**2 + 235*v. Find the first derivative of w(x) wrt x.\nAnswer: -16*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 128 and 8.5.\nAnswer: 136.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 + 131295*r - 5746125675\/2.\nAnswer: -3*(r - 43765)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 4*v**2 - 11*v - 45. Give r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - sqrt(84)*-2*4 - sqrt(84))\/sqrt(12).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 21 - (438 - 470).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2821\/(-22568))\/((-65)\/(-24))\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c = 3*r + 2, 4*c = 4. Suppose 3*h - 16875 + 3520 = 5*o, 2*h - 2*o - 8910 = 0. Suppose r = 12*q + 8*q - h. What are the prime factors of q?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1142 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Suppose -5*b + 15 = -5*m, 4*b - 26 = -3*m - 0*b. Let i = m - -1. Is a not equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 4:54 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-4 - (-52)\/12). Solve -3*c = -2*t + 5*t, w*t - 10 = -c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - -103) + 4 + (-5 - -2)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1110100001001010 (base 2) to base 3\nAnswer: 10000120110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2538.\nAnswer: -2543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5479.4313 milliseconds to weeks.\nAnswer: 0.00000905990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -9*b - 2. Let n be x(2). What is the lowest common multiple of (-1 - 0)\/(2\/n) and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36957 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2681*m**3 + 3991*m**3 - 6670*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/2)\/(18\/(-24)). Let s(l) = -3*l**2 - 2. Let g(d) = 3*d**2 + 1. Let r(x) = k*s(x) - 3*g(x). Suppose u + 4 = -z, -4*u + 5 = z + 18. Give r(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 2. Let b be 1*(2 + 0)*m. Suppose k + 8 - 18 = 0. Solve 0*j = -b*j - k for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -1024?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 161*s. Let i(c) = -15*c**2 - 1048 + 1048 - 8*c**2 - 5*c**2. Give a(i(o)).\nAnswer: -4508*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 34, 11\/2429?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 186 and 1403?\nAnswer: 260958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 11:04 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226741, 226730, 226719, 226708, 226697, 226686?\nAnswer: 226675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -478227?\nAnswer: 478230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 4) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven quarters of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 422966 and 2370?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u - 8. Determine c(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 18.53 * 17\nAnswer: 315.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -16, 0.6, 0.04, -0.7?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 627997.7 meters?\nAnswer: 627997700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 23*r**2 - 22*r + 8. Let c(y) = y**3 + 5*y**2 - 8*y - 7. What is the remainder when p(-22) is divided by c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bucbuubcvcvvuvuvuuv. What is prob of picking 2 b and 1 v?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23571 or 23573?\nAnswer: 23571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -x - 2*x + 6, -3*x + 2*f - 3 = 0. Let s = 561 - 558. Is s greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 13580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - y**2 - y. Let f(t) = -7*t**3 - 5*t**2 - 41*t. Give -6*c(m) + f(m).\nAnswer: -m**3 + m**2 - 35*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 123, 164, 213, 270, 335?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 64. Let r be (3 + (-13)\/h + -2)*-10. Suppose -u - 4*u + 5*a + r = 0, -4*a + 12 = 3*u. Solve -u = 3*g - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -610 divided by 2.\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**3 - 42122*p**2 + 84230*p + 126354 = 0 for p.\nAnswer: -1, 3, 21059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -6, s = r + 3 - 0. Let k(p) = -5 + 5 + r + 2. Let h(u) = u**2 - 3*u - 1. Let b be h(4). Let n(l) = -l + 4. What is b*k(z) - 2*n(z)?\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**5\/4 + 17607*p**4 + 458019*p**3\/2 + 193794*p**2 - 916035*p\/4 - 211401 = 0?\nAnswer: -12, -1, 1, 23489","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4685997837 to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000653 to five decimal places.\nAnswer: -0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 12 (c) -2\/31 (d) 1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7970.999 times -0.3?\nAnswer: -2391.2997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 11:15 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39 + 7 + 3)*(v**2 - 4*v**2 + 2*v**2)*(2*v + 1 + 1 - 5).\nAnswer: 58*v**3 - 87*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:39 PM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -31*j**2 - 6*j - 12. Let t(x) = -184*x**2 - 34*x - 68. Let v(a) = -34*p(a) + 6*t(a). Let y(n) = 33*n**2. What is y(v(r))?\nAnswer: 82500*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 136.81778471 to one dp.\nAnswer: 136.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*l = 15, 4*t - 3*l - 27 = 2*l. Suppose -t*u = 3*u - 30. Solve 0 = o - 0*o + u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -312, -692, -1226, -1920, -2780?\nAnswer: -3812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5747*b + 5744*b - 11490*b + 6 + 8 = 4*p, -4 = 2*b - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 77119090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**5 - 6*b**3 + 31\/2*b**4 + 4*b - 31\/2*b**2 + 0 = 0.\nAnswer: -8, -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4369, 12007, 22925, 37123, 54601?\nAnswer: 75359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 20*x**2 + 172*x - 660. Give p(4).\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(156)*-1 - sqrt(156)) + sqrt(156) + sqrt(156) + sqrt(156))\/(sqrt(12) - -6*sqrt(36)\/sqrt(3)).\nAnswer: 11*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7501168, 30004668, 67510502, 120018670, 187529172, 270042008?\nAnswer: 367557178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3 + 48*y**2 - 310*y + 600 = 0 for y.\nAnswer: 4, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1100 is divided by 4125\/(-550)*4\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-1)\/4*-6). Let h be (0\/(-1))\/(-4 - w). Suppose 0 = -v - h*v + 6. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 0. Solve -3*f = -a*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9508 and -0.08.\nAnswer: 760.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 - 21. Solve -2*s + 5*v = 10, 1 - h = -v for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -1311, -1948, -2569, -3168, -3739, -4276, -4773?\nAnswer: -5224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 62008 = 2*h, -h = 4*h + 4*y - 154992. What is h rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -39, 3 in increasing order.\nAnswer: -39, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665495?\nAnswer: 3, 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -217*a**2. Let o(y) = 27*y**2 + 20*y**2 - 42*y**2. Give x(o(t)).\nAnswer: -5425*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*b - 17*b - 7. Let p be 7 + 1\/b + (-29)\/7. Solve 0 = -p*r + 47 - 44 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43138430241 - 0.4?\nAnswer: 43138430240.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2c0 - 1ba?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 187410130 to the nearest integer?\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*n + 11 = 3*p, -10 = -4*p - 2*n. Suppose p*u - u - 8 = 0. Suppose -8*a = -u*a. Solve -3*i + 12 = -a*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1462 and 2074?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/11 - (-264)\/(-20328). What is the nearest to -8 in -20, i, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - -49 - (956 + -936).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -501 by 167.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 193, 3, 4\/5?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 64291457 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 41*v - 37. Let y be d(1). Let f(u) be the first derivative of -12*u**y - 2 - 24*u + 124\/3*u**3 + 34*u**2. Find t such that f(t) = 0.\nAnswer: -2\/3, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + 0)*(1 + 1). Suppose q = f - 0. What is the units digit of f*1 - 28\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19494187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(11) + 2)) + 0)**2 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -10. Let d = -123 + 196. Let u = -68 + d. What is the closest to -2\/7 in 0.2, o, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 380782?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111000110001 + -1?\nAnswer: 1111000110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -357 - -254. Let y = -69 - f. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*a**2 + 154*a**2 - 1644*a + 547*a - 347*a**2 + 547*a + 550*a.\nAnswer: -40*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 98081930723 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.111 - 0.164. Let u = -0.011 - n. Let q = u - 0.702. Round q to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 7*z**2 + 11*z - 88. Let j be a(4). Solve 2*h + b = 11, 3*h + j*b - 8 = 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*c + 209898 = -182682. What is the third derivative of -21810*q**4 - 96*q**5 + 263*q**2 - 72*q**5 + c*q**4 wrt q?\nAnswer: -10080*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -679 - -390. Let f = g + 288.6. Which is the nearest to -3? (a) 2 (b) -2\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -1204*w + 1120. Let x(p) = -10. Determine -j(a) - 112*x(a).\nAnswer: 1204*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (57 + 3 - 48) + -65\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y + 1. Let u(p) be the second derivative of p**4\/3 - 3*p**2 + 26*p. Let q(s) = -9*s**2 + 13. Let c(w) = -6*q(w) - 13*u(w). Determine l(c(b)).\nAnswer: 18*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 237*w + 8*w**3 - 2*w**2 + 13*w**4 + 2*w**2 - 239*w to the form t*w**2 + h*w + r + a*w**3 + p*w**4 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179163.39us to minutes.\nAnswer: 0.0029860565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (14\/(-12))\/((-10)\/50) and -85\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -6, 6 in increasing order.\nAnswer: -7, -6, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 468225 to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 83, 46, -15, -100, -209, -342, -499?\nAnswer: -680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.12 + -3.62. Let i = k + 3. Suppose 0 = u + 2*f + 2 - 12, 0 = -5*f + 25. What is the biggest value in u, 0.5, i?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 PM and 5:52 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i + 8. Let o be h(10). Let r be (3\/4)\/(o\/48). Factor -4*u - 9*u**r + 6*u + 0*u**2.\nAnswer: -u*(9*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51 + -61. Let k = -41 - m. Let p = 30.96 + k. Which is the second biggest value? (a) 4 (b) -0.3 (c) p (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -o**3\/2 + 46321*o**2\/2 + 46323*o = 0.\nAnswer: -2, 0, 46323","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -132035 or -132043?\nAnswer: -132043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-96) - 285\/90.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 133. Let k(b) = 51*b**2. Give k(g(y)).\nAnswer: 51*y**2 + 13566*y + 902139","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*z + 8, -10 = -4*v - 3*z - 3. Let x be 2*v + 0\/15. What is the third derivative of 7*p**4 + 0*p**4 + p**4 + 2*p**x wrt p?\nAnswer: 192*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 5. Let b(g) = -g + 3*g - y*g. Let k(d) = -6*d**2 - 7*d**2 + 30*d**2 - 9*d**2 - 10*d**2 - 7*d**2. What is k(b(t))?\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b48 (base 13) to base 8\nAnswer: 3577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 + 7*v - 3. Let b be p(-7). Let y = 1 - b. Suppose -43 = -t - 5*i, 2*i = y*t + t - 242. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 187 is divided by 58.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5545\/222 - 25)\/((-15)\/(-9))?\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.24, -20.2752, 1?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2265 = 25*b - 63*b - 113*b. Solve -2*h - z = 14, -b*h + 4*z + 11 = -14*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z + 8. Let n be r(-4). Suppose 5*x - n*x - 88 = 0. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 9. Let h be u(4). Let c = h + 16. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 + 16. Does 5 divide (4 + 18)*(-1)\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -46500 or -46435?\nAnswer: -46435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 2*l = -48, 0 = -2*c - 349*l + 356*l - 48 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15 - 10)*-1 + (-16)\/(-2). Solve d = 3, -h = -3*h - s*d + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 7*y + 3. Let j be n(-7). Suppose -3 = -j*a, 2*a + 144 = 2*k - 0*a. Calculate the remainder when k is divided by 1*(-10 - 174\/(-6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x - 15 = 0. Let f(s) = -2*s**2 + 30*s + 71. Let d be f(18). Let w = 97 + d. Calculate the greatest common factor of w and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23\/470673 or 0?\nAnswer: 23\/470673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l**2 + 2*l + 4. Let m(f) = -19*f**2 - 4*f - 8. Calculate -4*m(q) - 9*w(q).\nAnswer: -5*q**2 - 2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (2\/3)\/((-20)\/15)*-6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1629920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15694309769 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16105 - -8?\nAnswer: -160fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326 = -4*j - 15*o + 16*o, 2*j + 4*o - 154 = 0. Sort -13, 3, j.\nAnswer: -13, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33542219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13726 + -13729. Let g = -2\/1111 - -1175\/35552. Let l = 30 - 31. Which is the closest to g? (a) i (b) -0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.2 + -8. Let q = -1018 - -1016. Which is the third biggest value? (a) 0.03 (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + 6\/(4 - 6). Let t be (d\/10)\/((-890)\/(-50)). Let x = t - 81\/356. Which is greater: x or -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 0*f**3 - 127\/4*f**4 - 55 + 0*f**2 + 25*f. What is the first derivative of v(y) wrt y?\nAnswer: -381*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - 1a?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 6 + 39. Suppose 0 = -2*s + b - 1. Solve -5*u = 8 + s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554146 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -439 + 2?\nAnswer: -437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/3)\/d)\/d**(-2)*d**3\/d**6 assuming d is positive.\nAnswer: d**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22794879.9999924 + -22794847. Let u = 81 - 114. Let o = h + u. Round o to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 h, and 1 e when four letters picked without replacement from rherretrrkhrturrh?\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 179162.\nAnswer: 2, 29, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 11*l**3 - 47*l**2 - 20*l - 128. What is k(6)?\nAnswer: 436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -12063856.92 rounded to the nearest 1000?\nAnswer: -12064000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 804?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}