| [ |
| { |
| "q": "Solve 17381 = -7036*r + 10345 for r.", |
| "a": "-1", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve -4217*k + 1799*k + 252377 = 2749*k + 30196 for k.", |
| "a": "43", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve 1238 = 374*f - 4898 - 1624 - 1216 for f.", |
| "a": "24", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve -1293 + 1979 = -112*s - 2338 for s.", |
| "a": "-27", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve -52*t + 5594 = -699*t - 18992 for t.", |
| "a": "-38", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve 0 = 1063*k - 140370 + 18125 for k.", |
| "a": "115", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve 960*c = 2226*c + 3669*c + 1010*c + 517215 for c.", |
| "a": "-87", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve 0 = -1098*j + 3717 + 675 for j.", |
| "a": "4", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve 13*d + 693 + 20 = 2*d + 86 for d.", |
| "a": "-57", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve 2130*l - 6517*l + 34770 = -224063 for l.", |
| "a": "59", |
| "family": "algebra.linear_1d" |
| }, |
| { |
| "q": "Solve y + 215 = 4*r, 5*r + 24284 = 5*r - 4*r + 4*y + 24496 for r.", |
| "a": "54", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve -5*g = -5*l - 160, -g + 17*l + 29*l - 50*l + 58 - 201 = 0 for g.", |
| "a": "-3", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve 4*c - 31 = 7*c + 3*d - 2*d, 5*d + 98 = -3518*c + 3522*c for c.", |
| "a": "-3", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve -4*z - 34 = q, 163*z + 16*q = 165*z - 16 for z.", |
| "a": "-8", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve 0 = -3*a + 4*w + 7, 109*a + 49 = 98*a - 4*w for a.", |
| "a": "-3", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve 3*m + 122 = 4*j, -25 - 4581 = -144*j + m for j.", |
| "a": "32", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve -2*j - 7*j + 3*g - 24 = 0, -g + 3696 = -5*g + 3704 for j.", |
| "a": "-2", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve 10*b + 39 = -3*f + 12*b, -86*f + 2*b = -81*f + 49 for f.", |
| "a": "-5", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve 17385*y + 5*k + 36 = 17381*y, 0 = 4*y - 3*k + 4 for y.", |
| "a": "-4", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Solve -5*w - w = -12*w + w + 10*w + 10, w - 110 = 4*n for n.", |
| "a": "-28", |
| "family": "algebra.linear_2d" |
| }, |
| { |
| "q": "Suppose -g**2/5 - 840048*g/5 - 26040527/5 = 0. Calculate g.", |
| "a": "-840017, -31", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "Suppose 5*n**3 + 453635*n**2 + 13604695*n + 13151065 = 0. What is n?", |
| "a": "-90697, -29, -1", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "What is i in -2*i**2 + 6482*i + 504184 = 0?", |
| "a": "-76, 3317", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "Determine n, given that 3*n**3 - 3999687*n**2 + 1332994675497*n + 86661553408755 = 0.", |
| "a": "-65, 666647", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "What is s in 3*s**4/5 - 90*s**3 + 16251*s**2/5 - 68976*s/5 - 219996 = 0?", |
| "a": "-6, 14, 45, 97", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "Solve -3*n**3 + 38309271*n**2 + 76618551*n + 38309277 = 0 for n.", |
| "a": "-1, 12769759", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "Suppose -w**2/7 + 48064893*w/7 = 0. Calculate w.", |
| "a": "0, 48064893", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "Let d**5/9 + 2219*d**4/9 - 119890*d**3/3 + 1523236*d**2 + 3208296*d = 0. Calculate d.", |
| "a": "-2373, -2, 0, 78", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "Determine l so that -764*l**3/5 - 187186*l**2/5 + 186474*l/5 + 1476/5 = 0.", |
| "a": "-246, -3/382, 1", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "Let -s**2 + 157678*s + 157679 = 0. Calculate s.", |
| "a": "-1, 157679", |
| "family": "algebra.polynomial_roots" |
| }, |
| { |
| "q": "What is next in -274, -791, -1624, -2833, -4478?", |
| "a": "-6619", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What comes next: -131096, -131109, -131148, -131219, -131328, -131481?", |
| "a": "-131684", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What is next in 13546, 53060, 118932, 211174, 329798, 474816, 646240, 844082?", |
| "a": "1068354", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What is the next term in 11960671, 23921425, 35882179, 47842933, 59803687, 71764441?", |
| "a": "83725195", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What is the next term in 23740, 23355, 22962, 22561, 22152?", |
| "a": "21735", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What comes next: -16799, -33436, -50073?", |
| "a": "-66710", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What comes next: 5054, 8940, 12818, 16688, 20550, 24404?", |
| "a": "28250", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What is the next term in 13534, 109288, 369226, 875452, 1710070?", |
| "a": "2955184", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What is the next term in -2445273, -2445287, -2445309, -2445339, -2445377, -2445423, -2445477?", |
| "a": "-2445539", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What is the next term in 10918, 10239, 9108, 7525, 5490, 3003?", |
| "a": "64", |
| "family": "algebra.sequence_next_term" |
| }, |
| { |
| "q": "What is -1.35 - 19960.545393?", |
| "a": "-19961.895393", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "Total of 5.601 and -1082164.54065.", |
| "a": "-1082158.93965", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "What is 97 + 1648127542588?", |
| "a": "1648127542685", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "What is -937885.415968 - -0.034?", |
| "a": "-937885.381968", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "Calculate -2 - -136305168296940.", |
| "a": "136305168296938", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "Sum 0.04 and -262689998.102.", |
| "a": "-262689998.062", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "What is 2764.54 + 5476794?", |
| "a": "5479558.54", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "Calculate -266.81 + 12801487.", |
| "a": "12801220.19", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "1230213455139+-31", |
| "a": "1230213455108", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "What is the distance between 62325.47 and 14.824?", |
| "a": "62310.646", |
| "family": "arithmetic.add_or_sub" |
| }, |
| { |
| "q": "Evaluate 2 + -22 + (-234 - -251) - -11.", |
| "a": "8", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "What is the value of -3 + -3 + (1 - -3) + (-6 + 28 - 9)?", |
| "a": "11", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "(25 + -22 + 10 - (99 - 4)) + (1 - 2)", |
| "a": "-83", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "What is (-1 - 57) + (4 + -2 + 0 - (-27 - -40))?", |
| "a": "-69", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "(-14 - -10) + (-61 - 5) + -50 + 44", |
| "a": "-76", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "Calculate (7 - -8) + 11 + -29 - 12 - -14.", |
| "a": "-1", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "What is the value of -1 - (36 + 23) - (21 + -14 + (-7 - -1))?", |
| "a": "-61", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "What is the value of 3 + -8 + 0 + 0 - (-618 - -610)?", |
| "a": "3", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "Calculate -19 - (45 - (28 + -2)).", |
| "a": "-38", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "Evaluate 12 - ((-32 - (-10 - 24)) + -23).", |
| "a": "33", |
| "family": "arithmetic.add_sub_multiple" |
| }, |
| { |
| "q": "Calculate -286643938 divided by 2017.", |
| "a": "-142114", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "30696 divided by -15609", |
| "a": "-10232/5203", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "Calculate -382945368 divided by 6.", |
| "a": "-63824228", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "100847616 divided by -2", |
| "a": "-50423808", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "What is 3519219 divided by 36?", |
| "a": "1173073/12", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "5 divided by -30712488", |
| "a": "-5/30712488", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "3 divided by 1604080", |
| "a": "3/1604080", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "Divide -205671168 by -871488.", |
| "a": "236", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "What is -563860539 divided by 11?", |
| "a": "-51260049", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "Calculate -49335 divided by 2234.", |
| "a": "-49335/2234", |
| "family": "arithmetic.div" |
| }, |
| { |
| "q": "What is the value of ((-4)/(-14))/(38928/(-1008) + 39)?", |
| "a": "3/4", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "What is (1701/(-27))/((-3)/5 + 324/(-360))?", |
| "a": "42", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "Calculate (164/(-246))/((1 - 0)*160/360).", |
| "a": "-3/2", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "-297*((-303)/54 - 704/(-128))", |
| "a": "33", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "What is 2/((-4)/(-78)) - (-9859 - -9909)?", |
| "a": "-11", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "What is the value of (6/(-9))/(45/(-180)*(-1*38 + 2))?", |
| "a": "-2/27", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "What is 1*(147/(15 + -22) - -18)?", |
| "a": "-3", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "What is the value of 3 - (726/(-15) + 85 + 4/10)?", |
| "a": "-34", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "What is (142 - 134)*(-671)/88?", |
| "a": "-61", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "86/(-229405)*-97 - 3577/55", |
| "a": "-65", |
| "family": "arithmetic.mixed" |
| }, |
| { |
| "q": "Product of 22078122 and 0.", |
| "a": "0", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "Calculate -4861.1*-11.5.", |
| "a": "55902.65", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "What is -166270 times -36.7?", |
| "a": "6102109", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "Product of 175.66 and -24.127.", |
| "a": "-4238.14882", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "Calculate 7978982*0.1.", |
| "a": "797898.2", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "Work out -4447.9834 * -0.01.", |
| "a": "44.479834", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "Multiply -0.054 and 1.1727.", |
| "a": "-0.0633258", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "Work out -68679133 * 3.", |
| "a": "-206037399", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "Multiply -2 and 4307.4465.", |
| "a": "-8614.893", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "-0.4 times -28.381141", |
| "a": "11.3524564", |
| "family": "arithmetic.mul" |
| }, |
| { |
| "q": "What is the value of (48/(-52))/(136/2652)?", |
| "a": "-18", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "What is 392/35*(7/6)/(-9*(-147)/8505)?", |
| "a": "84", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "What is the value of (30/186)/(13/195*-25)?", |
| "a": "-3/31", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "What is the value of ((-1)/(-6))/(42/7728*-23)*-6?", |
| "a": "8", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "Evaluate ((4/(-4))/(-56))/(114/2584*-17).", |
| "a": "-1/42", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "35/(-28)*(-120)/900", |
| "a": "1/6", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "Evaluate (-247299)/25364*4/6.", |
| "a": "-13/2", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "((4290/20)/39)/(23/92)", |
| "a": "22", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "(-5)/2*23760/(-1815)*(-44)/40", |
| "a": "-36", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "Evaluate ((-3)/4)/((5/(-16))/((-2940)/392)*-27).", |
| "a": "2/3", |
| "family": "arithmetic.mul_div_multiple" |
| }, |
| { |
| "q": "What is the fifth root of 222291282 to the nearest integer?", |
| "a": "47", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the seventh root of 55723711 to the nearest integer?", |
| "a": "13", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the square root of 139418322 to the nearest integer?", |
| "a": "11808", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the cube root of 6533872413 to the nearest integer?", |
| "a": "1869", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the square root of 1359515011 to the nearest integer?", |
| "a": "36872", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is 586388339 to the power of 1/3, to the nearest integer?", |
| "a": "837", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the third root of 2615073615 to the nearest integer?", |
| "a": "1378", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the third root of 2894923812 to the nearest integer?", |
| "a": "1425", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the third root of 151144385 to the nearest integer?", |
| "a": "533", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is 20022199 to the power of 1/2, to the nearest integer?", |
| "a": "4475", |
| "family": "arithmetic.nearest_integer_root" |
| }, |
| { |
| "q": "What is the closest to 1 in 7, -439, 2, 3256, 5?", |
| "a": "2", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the closest to -1 in 0.0069, 1.8, 27, -3, 2/25, 1/3?", |
| "a": "0.0069", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the closest to -1/72 in 9.2, 1.3, -2/3?", |
| "a": "-2/3", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the closest to -1 in -0.3, -69/334, 14?", |
| "a": "-0.3", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the nearest to -0.141 in 1, -5, 4/3, 1/3, 16/9?", |
| "a": "1/3", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the nearest to -0.1 in 0.3, 14296, 0.2, -1850?", |
| "a": "0.2", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the nearest to -2.4 in -6, 0, -6069?", |
| "a": "0", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the nearest to -3 in -1250, 2/5, 1/5?", |
| "a": "1/5", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the closest to 2/7 in -5, 1/6, 2/7, 2704.5, -43?", |
| "a": "2/7", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the nearest to 51763 in 0.41, -4, -2, 0?", |
| "a": "0.41", |
| "family": "comparison.closest" |
| }, |
| { |
| "q": "What is the fifth biggest value in -4, 4/91, -19, 0, -5?", |
| "a": "-19", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the third smallest value in 0.2025, 16, 24, -3, 2/7?", |
| "a": "2/7", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the second biggest value in -1/3, 5, 279, -2/5, -5, -4?", |
| "a": "5", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the fifth biggest value in -2, -34, -3/4, 0.2, 0.4, 1470?", |
| "a": "-2", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the second smallest value in -6, 5/68, -11536?", |
| "a": "-6", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the third smallest value in 0.2, -163367, -37/5, -2, 4?", |
| "a": "-2", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the fourth biggest value in 472, 37, 1/9, 0.09, 0.2?", |
| "a": "1/9", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the smallest value in -55, -4, 1591.2, -1?", |
| "a": "-55", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the second smallest value in 0.2, -1.1461, 189, 5/3, -5, 0.1?", |
| "a": "-1.1461", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "What is the third biggest value in 10.26, -2, 692?", |
| "a": "-2", |
| "family": "comparison.kth_biggest" |
| }, |
| { |
| "q": "Which is smaller: -3641/60747 or 1?", |
| "a": "-3641/60747", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Is 872853518 smaller than 872853516?", |
| "a": "False", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Which is smaller: -22510028 or -22510026?", |
| "a": "-22510028", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Is 1524314 less than or equal to 1524334?", |
| "a": "True", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Is 1142.41 at least as big as 0.089?", |
| "a": "True", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Which is smaller: -2 or -8118/9379?", |
| "a": "-2", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Are 0 and -2/328871525 non-equal?", |
| "a": "True", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Is 55133599 bigger than 55133589?", |
| "a": "True", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Which is greater: -603777211/3 or -201259069?", |
| "a": "-201259069", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Is -27981693 smaller than -27981692?", |
| "a": "True", |
| "family": "comparison.pair" |
| }, |
| { |
| "q": "Sort -0.5, -8/1001, -0.2, -4, -2, -1/216 in decreasing order.", |
| "a": "-1/216, -8/1001, -0.2, -0.5, -2, -4", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Put -51, 2269, -3/7, -0.0517 in decreasing order.", |
| "a": "2269, -0.0517, -3/7, -51", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Sort 327/4, 18, 2/7, -0.5, -2, 0.2, -5 in decreasing order.", |
| "a": "327/4, 18, 2/7, 0.2, -0.5, -2, -5", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Sort 0, 7, 41, -8, 5 in decreasing order.", |
| "a": "41, 7, 5, 0, -8", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Sort -3212, -2196, 0, 4.", |
| "a": "-3212, -2196, 0, 4", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Sort -1, -32, 1422.8 in descending order.", |
| "a": "1422.8, -1, -32", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Put 5, -343, -3, -6, 14, -7 in ascending order.", |
| "a": "-343, -7, -6, -3, 5, 14", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Sort 14, 4, 169, -8, -32 in decreasing order.", |
| "a": "169, 14, 4, -8, -32", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Sort -138, -23, 486, -1/2, 0 in decreasing order.", |
| "a": "486, 0, -1/2, -23, -138", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "Put -3, 3, 0, -5141, 53 in decreasing order.", |
| "a": "53, 3, 0, -3, -5141", |
| "family": "comparison.sort" |
| }, |
| { |
| "q": "How many kilograms are there in three tenths of a tonne?", |
| "a": "300", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "Convert 5.491522 hours to minutes.", |
| "a": "329.49132", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "Convert 516352.3 weeks to hours.", |
| "a": "86747186.4", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "How many months are there in twenty-one eighths of a century?", |
| "a": "3150", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "How many millilitres are there in 17/4 of a litre?", |
| "a": "4250", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "What is nine tenths of a microgram in nanograms?", |
| "a": "900", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "What is 31.12637 meters in nanometers?", |
| "a": "31126370000", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "How many litres are there in 0.3085542 millilitres?", |
| "a": "0.0003085542", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "How many nanoseconds are there in 19/4 of a microsecond?", |
| "a": "4750", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "What is 1.939153 nanometers in centimeters?", |
| "a": "0.0000001939153", |
| "family": "measurement.conversion" |
| }, |
| { |
| "q": "How many minutes are there between 6:11 PM and 4:20 AM?", |
| "a": "609", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 6:53 AM and 8:25 AM?", |
| "a": "92", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 3:40 PM and 11:42 PM?", |
| "a": "482", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 9:59 PM and 2:55 AM?", |
| "a": "296", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 5:41 AM and 3:48 PM?", |
| "a": "607", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 8:41 AM and 3:31 PM?", |
| "a": "410", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 8:43 AM and 10:33 AM?", |
| "a": "110", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 7:47 PM and 10:52 PM?", |
| "a": "185", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 12:26 PM and 7:20 PM?", |
| "a": "414", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "How many minutes are there between 11:35 PM and 5:49 AM?", |
| "a": "374", |
| "family": "measurement.time" |
| }, |
| { |
| "q": "What is the remainder when 64985401 is divided by 41?", |
| "a": "32", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "What is the remainder when 332183 is divided by 109184?", |
| "a": "4631", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "What is the remainder when 164489 is divided by 5935?", |
| "a": "4244", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "Calculate the remainder when 6659066 is divided by 760.", |
| "a": "706", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "Calculate the remainder when 8537852 is divided by 627.", |
| "a": "620", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "Calculate the remainder when 8837374 is divided by 34.", |
| "a": "26", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "Calculate the remainder when 25551310 is divided by 246.", |
| "a": "28", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "Calculate the remainder when 90316235 is divided by 358.", |
| "a": "353", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "Calculate the remainder when 20615 is divided by 6871.", |
| "a": "2", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "What is the remainder when 59652805 is divided by 7941?", |
| "a": "13", |
| "family": "numbers.div_remainder" |
| }, |
| { |
| "q": "What is the highest common factor of 3104119 and 5327?", |
| "a": "761", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "Calculate the greatest common factor of 79941483 and 194.", |
| "a": "97", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "Calculate the greatest common divisor of 149 and 192620346.", |
| "a": "149", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "What is the highest common divisor of 297 and 2222343?", |
| "a": "27", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "Calculate the greatest common factor of 454196 and 407268.", |
| "a": "1676", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "Calculate the greatest common factor of 55404 and 403408.", |
| "a": "76", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "What is the highest common divisor of 312 and 2998749?", |
| "a": "39", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "Calculate the highest common factor of 6123 and 502300305.", |
| "a": "6123", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "Calculate the highest common factor of 2 and 9297134.", |
| "a": "2", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "What is the greatest common divisor of 9 and 1872593163?", |
| "a": "9", |
| "family": "numbers.gcd" |
| }, |
| { |
| "q": "Is 172866791 composite?", |
| "a": "False", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 76660741 a prime number?", |
| "a": "True", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 515943361 a prime number?", |
| "a": "True", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 296183233 a prime number?", |
| "a": "True", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 4164067109 prime?", |
| "a": "False", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 300295223 composite?", |
| "a": "False", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 6963561249 prime?", |
| "a": "False", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 8840427751 composite?", |
| "a": "False", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 3550738271 a prime number?", |
| "a": "True", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "Is 3630515461 a prime number?", |
| "a": "False", |
| "family": "numbers.is_prime" |
| }, |
| { |
| "q": "What is the common denominator of -25/605429 and -22/2369?", |
| "a": "62359187", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "Find the common denominator of -43/17079973 and -10/332777.", |
| "a": "734438839", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "Calculate the smallest common multiple of 8 and 536209475.", |
| "a": "4289675800", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "What is the least common multiple of 1091349 and 221422586?", |
| "a": "1992803274", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "What is the common denominator of 31/13888056 and -57/101744?", |
| "a": "27776112", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "What is the smallest common multiple of 9460 and 21780?", |
| "a": "936540", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "What is the smallest common multiple of 182 and 31932654?", |
| "a": "223528578", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "What is the smallest common multiple of 14 and 2701166?", |
| "a": "18908162", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "What is the common denominator of 139/7912940 and 41/1624?", |
| "a": "15825880", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "Calculate the common denominator of 53/26689341 and -87/6926.", |
| "a": "53378682", |
| "family": "numbers.lcm" |
| }, |
| { |
| "q": "What is the ten thousands digit of 367391015?", |
| "a": "9", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the hundreds digit of 7063191006?", |
| "a": "0", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the hundred thousands digit of 291289609?", |
| "a": "2", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the ten thousands digit of 159737494?", |
| "a": "3", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the millions digit of 137410880?", |
| "a": "7", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the ten millions digit of 186622789?", |
| "a": "8", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the hundreds digit of 88892?", |
| "a": "8", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the hundreds digit of 875388608?", |
| "a": "6", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the hundred millions digit of 2083099626?", |
| "a": "0", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "What is the units digit of 165588403?", |
| "a": "3", |
| "family": "numbers.place_value" |
| }, |
| { |
| "q": "Round -47.407896 to 0 dps.", |
| "a": "-47", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "Round -1030.994791 to the nearest one hundred.", |
| "a": "-1000", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "Round 52.4937545 to 0 decimal places.", |
| "a": "52", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "What is -0.04564612 rounded to four dps?", |
| "a": "-0.0456", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "What is 5349604250 rounded to the nearest one million?", |
| "a": "5350000000", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "What is -5155.73662 rounded to the nearest 100?", |
| "a": "-5200", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "Round 0.0132174567 to 2 decimal places.", |
| "a": "0.01", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "Round 189610700 to the nearest one million.", |
| "a": "190000000", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "What is -23.92519712 rounded to two decimal places?", |
| "a": "-23.93", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "What is 116.465998 rounded to two decimal places?", |
| "a": "116.47", |
| "family": "numbers.round_number" |
| }, |
| { |
| "q": "Let f(l) = -l**2 - 69*l - 598. Give f(-23).", |
| "a": "460", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let l(r) = 2*r**3 - 81*r**2 - 215*r + 296. Give l(1).", |
| "a": "2", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let g(k) = -k**2 - 821*k - 124619. Give g(-620).", |
| "a": "1", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let c(d) = d**2 + 85*d + 1482. Give c(-26).", |
| "a": "-52", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let m(v) = 13*v**2 + 26*v + 105. Determine m(-6).", |
| "a": "417", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let w(x) = 2*x**3 + 103*x**2 - 7858*x + 172. Calculate w(42).", |
| "a": "4", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let l(g) = 488892 - 3911*g. Calculate l(125).", |
| "a": "17", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let c(t) = -39*t**2 - 237*t - 324. Give c(-4).", |
| "a": "0", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let w(v) = -133816*v - 5620271. Determine w(-42).", |
| "a": "1", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Let i(m) = m**3 + 483*m**2 + 1337*m + 180387. What is i(-481)?", |
| "a": "12", |
| "family": "polynomials.evaluate" |
| }, |
| { |
| "q": "Two letters picked without replacement from myymmbmmmbmmyymyyy. What is prob of picking 1 b and 1 y?", |
| "a": "14/153", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "What is prob of picking 2 q when two letters picked without replacement from {n: 2, z: 2, p: 1, q: 2, c: 1, f: 4}?", |
| "a": "1/66", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Two letters picked without replacement from {w: 2, p: 5}. Give prob of picking 1 p and 1 w.", |
| "a": "10/21", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Three letters picked without replacement from {p: 2, i: 8, b: 3, j: 1, e: 2, a: 1}. What is prob of picking 1 b, 1 j and 1 a?", |
| "a": "3/680", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Three letters picked without replacement from {k: 4, q: 7}. What is prob of picking 3 q?", |
| "a": "7/33", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Two letters picked without replacement from eeedeeeeeddeddedeee. What is prob of picking 2 e?", |
| "a": "26/57", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Calculate prob of picking 1 y and 2 a when three letters picked without replacement from kavkkykkkkkkkavyklk.", |
| "a": "2/969", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Three letters picked without replacement from ooupoupp. What is prob of picking 1 u, 1 p and 1 o?", |
| "a": "9/28", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Two letters picked without replacement from jxbb. Give prob of picking 1 j and 1 b.", |
| "a": "1/3", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "Four letters picked without replacement from fskgulsl. What is prob of picking 2 g, 1 l and 1 k?", |
| "a": "0", |
| "family": "probability.swr_p_level_set" |
| }, |
| { |
| "q": "What is prob of sequence elcr when four letters picked without replacement from celercocoroo?", |
| "a": "1/990", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "What is prob of sequence wdxs when four letters picked without replacement from xddsgyw?", |
| "a": "1/420", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Two letters picked without replacement from zztzzzuutluzr. What is prob of sequence zr?", |
| "a": "1/26", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Calculate prob of sequence qqq when three letters picked without replacement from wwwwwwwwqwwwqwwwwwqw.", |
| "a": "1/1140", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Four letters picked without replacement from {g: 1, m: 1, k: 2, e: 3, b: 3, c: 1}. What is prob of sequence bcmc?", |
| "a": "0", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Four letters picked without replacement from {e: 2, n: 2, g: 2, y: 1, k: 1}. What is prob of sequence ynng?", |
| "a": "1/420", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Calculate prob of sequence ejti when four letters picked without replacement from {i: 8, e: 1, j: 5, t: 2}.", |
| "a": "1/546", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Calculate prob of sequence sasa when four letters picked without replacement from {v: 1, a: 3, s: 13}.", |
| "a": "39/2380", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Three letters picked without replacement from {c: 4, a: 1, s: 1, z: 2}. What is prob of sequence zsz?", |
| "a": "1/168", |
| "family": "probability.swr_p_sequence" |
| }, |
| { |
| "q": "Calculate prob of sequence upu when three letters picked without replacement from pppppuppuuppuu.", |
| "a": "15/182", |
| "family": "probability.swr_p_sequence" |
| } |
| ] |
