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*n**2 + 2*n + 82637 What is the c'th term of -78603034, -78603036, -78603038, -78603040? -2*c - 78603032 What is the n'th term of 89, 225, 429, 737, 1185? 6*n**3 - 2*n**2 + 100*n - 15 What is the j'th term of 25218, 26365, 28264, 30909, 34294? -j**3 + 382*j**2 + 8*j + 24829 What is the n'th term of -87, 396, 2017, 5346, 10953, 19408? 95*n**3 - n**2 - 179*n - 2 What is the i'th term of -2502876, -2502884, -2502894, -2502906, -2502920, -2502936, -2502954? -i**2 - 5*i - 2502870 What is the r'th term of 481268, 481294, 481376, 481544, 481828, 482258, 482864, 483676? 5*r**3 - 2*r**2 - 3*r + 481268 What is the m'th term of -13527908, -27055930, -40583952, -54111974, -67639996? -13528022*m + 114 What is the u'th term of 343987, 343993, 343999, 344005, 344011, 344017? 6*u + 343981 What is the v'th term of -699528, -5596048, -18886614, -44768250, -87437980, -151092828, -239929818, -358145974? -699504*v**3 + v**2 + 5*v - 30 What is the o'th term of 129915282, 129915281, 129915280, 129915279, 129915278? -o + 129915283 What is the g'th term of 57262, 91028, 124792, 158554, 192314, 226072? -g**2 + 33769*g + 23494 What is the l'th term of 486866, 973685, 1460492, 1947281, 2434046, 2920781, 3407480? -l**3 + 486826*l + 41 What is the p'th term of -24, -355, -1008, -2145, -3928, -6519? -27*p**3 + p**2 - 145*p + 147 What is the r'th term of 74586, 73258, 71930, 70602, 69274, 67946? -1328*r + 75914 What is the u'th term of -8361, -7412, -6461, -5508, -4553, -3596? u**2 + 946*u - 9308 What is the b'th term of -331600, -663178, -994756? -331578*b - 22 What is the u'th term of 592930, 2371761, 5336478, 9487081? 592943*u**2 + 2*u - 15 What is the f'th term of -42207, -84470, -126759, -169074? -13*f**2 - 42224*f + 30 What is the q'th term of 10803, 26949, 53859, 91533, 139971? 5382*q**2 + 5421 What is the b'th term of -1958838, -1958793, -1958748? 45*b - 1958883 What is the a'th term of -240, -3210, -11278, -26994, -52908? -425*a**3 + a**2 + 2*a + 182 What is the i'th term of 13812, 13974, 14184, 14442, 14748, 15102? 24*i**2 + 90*i + 13698 What is the p'th term of -455965, -1823886, -4103775, -7295638, -11399481, -16415310, -22343131, -29182950? -p**3 - 455978*p**2 + 20*p - 6 What is the m'th term of -4511516, -4511508, -4511498, -4511486, -4511472, -4511456? m**2 + 5*m - 4511522 What is the b'th term of -160, -458, -938, -1600, -2444, -3470, -4678? -91*b**2 - 25*b - 44 What is the z'th term of 6398, 51502, 173924, 412322, 805354, 1391678, 2209952, 3298834? 6443*z**3 + z**2 - 46 What is the q'th term of -16862140, -33724280, -50586420, -67448560? -16862140*q What is the y'th term of -980, -1282, -1792, -2516, -3460, -4630, -6032? -y**3 - 98*y**2 - y - 880 What is the b'th term of 11944, 21554, 31164, 40774, 50384, 59994? 9610*b + 2334 What is the x'th term of -1252470, -2505663, -3758856, -5012049, -6265242? -1253193*x + 723 What is the z'th term of 44417, 44441, 44459, 44471, 44477, 44477? -3*z**2 + 33*z + 44387 What is the d'th term of -14851, -59396, -133639, -237580? -14849*d**2 + 2*d - 4 What is the t'th term of 31934, 127668, 287240, 510662, 797946, 1149104, 1564148, 2043090? 2*t**3 + 31907*t**2 - t + 26 What is the l'th term of 11498, 23071, 34652, 46241, 57838? 4*l**2 + 11561*l - 67 What is the c'th term of 3888, 7671, 11440, 15189, 18912, 22603, 26256, 29865? -c**3 - c**2 + 3793*c + 97 What is the x'th term of 57113, 113260, 169407, 225554? 56147*x + 966 What is the c'th term of 88372, 176179, 263986, 351793, 439600, 527407? 87807*c + 565 What is the w'th term of -3730263, -14921352, -33573159, -59685678, -93258903? w**3 - 3730365*w**2 - w + 102 What is the q'th term of 2662, 2694, 2728, 2764? q**2 + 29*q + 2632 What is the r'th term of -12971931, -51887718, -116747363, -207550866, -324298227, -466989446, -635624523? -12971929*r**2 - 2 What is the n'th term of 9770, 78165, 263774, 625193, 1221018, 2109845, 3350270, 5000889? 9766*n**3 + 11*n**2 - 7 What is the l'th term of 64165, 64126, 64039, 63880, 63625, 63250, 62731? -4*l**3 - 11*l + 64180 What is the g'th term of 935560, 935759, 935958? 199*g + 935361 What is the d'th term of 692983, 1385956, 2078927, 2771896, 3464863, 4157828? -d**2 + 692976*d + 8 What is the f'th term of 2074586, 2074535, 2074484? -51*f + 2074637 What is the i'th term of 6779, 5689, 2691, -3169, -12845? -159*i**3 + 23*i + 6915 What is the y'th term of -3650, -18702, -43774, -78854, -123930? 2*y**3 - 5022*y**2 + 1370 What is the d'th term of -2996, -12312, -27934, -49940, -78408? -13*d**3 - 3075*d**2 + 92 What is the z'th term of -4306, -4437, -4568, -4627, -4542? 12*z**3 - 72*z**2 + z - 4247 What is the h'th term of -488, -926, -1364, -1826, -2336, -2918, -3596? -4*h**3 + 24*h**2 - 482*h - 26 What is the g'th term of 8532, 14229, 19910, 25575, 31224, 36857? -8*g**2 + 5721*g + 2819 What is the f'th term of 139639, 139536, 139419, 139282, 139119, 138924, 138691, 138414? -f**3 - f**2 - 93*f + 139734 What is the t'th term of -25338, -50939, -76540? -25601*t + 263 What is the v'th term of -52, -509, -1676, -3883, -7460, -12737? -55*v**3 - 25*v**2 + 3*v + 25 What is the q'th term of 409191, 408659, 408127? -532*q + 409723 What is the i'th term of -1054, -3925, -8266, -13723, -19942, -26569, -33250? 59*i**3 - 1089*i**2 - 17*i - 7 What is the m'th term of 51009295, 51009298, 51009301, 51009304, 51009307? 3*m + 51009292 What is the r'th term of 192118, 191876, 191634, 191392, 191150? -242*r + 192360 What is the z'th term of -64874, -64744, -64608, -64466? 3*z**2 + 121*z - 64998 What is the d'th term of -28018, -29879, -31738, -33595, -35450? d**2 - 1864*d - 26155 What is the q'th term of 654628, 1309226, 1963824, 2618422, 3273020? 654598*q + 30 What is the d'th term of 6972, 7034, 7204, 7536, 8084? 9*d**3 - d + 6964 What is the h'th term of -77731624, -77731672, -77731752, -77731864, -77732008? -16*h**2 - 77731608 What is the i'th term of 2533, 10412, 23637, 42208, 66125, 95388? 2673*i**2 - 140*i What is the l'th term of 71277, 70818, 70393, 70008, 69669? l**3 + 11*l**2 - 499*l + 71764 What is the w'th term of 238734, 1909759, 6445390, 15277929, 29839678, 51562939, 81880014, 122223205? 238717*w**3 + w**2 + 3*w + 13 What is the u'th term of 3897, 29559, 98735, 233181, 454653, 784907, 1245699, 1858785? 3626*u**3 + u**2 + 277*u - 7 What is the n'th term of -380472, -1521872, -3424190, -6087426, -9511580, -13696652? -380459*n**2 - 23*n + 10 What is the n'th term of -130, 1721, 6758, 16571, 32750, 56885, 90566? 265*n**3 + 3*n**2 - 13*n - 385 What is the q'th term of -1842549, -3685106, -5527663, -7370220, -9212777? -1842557*q + 8 What is the b'th term of -2149135, -4298278, -6447421? -2149143*b + 8 What is the a'th term of -10816, -17766, -24706, -31630, -38532, -45406, -52246, -59046? a**3 - a**2 - 6954*a - 3862 What is the u'th term of 8588170, 17176331, 25764488, 34352641, 42940790, 51528935? -2*u**2 + 8588167*u + 5 What is the t'th term of 115886136, 115886132, 115886128? -4*t + 115886140 What is the f'th term of -10756, -15073, -26792, -49615, -87244, -143381? -617*f**3 + f**2 - f - 10139 What is the b'th term of -1585328, -6341321, -14267976, -25365293, -39633272? -1585331*b**2 + 3 What is the q'th term of 313, -771, -3713, -9443, -18891, -32987, -52661? -155*q**3 + q**2 - 2*q + 469 What is the u'th term of -104498185, -208996364, -313494539, -417992710? 2*u**2 - 104498185*u - 2 What is the m'th term of 184482549, 184482551, 184482553? 2*m + 184482547 What is the s'th term of -18279, -19934, -21591, -23250, -24911, -26574? -s**2 - 1652*s - 16626 What is the f'th term of 1367656, 5470630, 12308912, 21882502, 34191400? 1367654*f**2 + 12*f - 10 What is the o'th term of -1488, -3023, -4602, -6219, -7868, -9543, -11238? o**3 - 28*o**2 - 1458*o - 3 What is the c'th term of -10223, -20663, -31101, -41537, -51971? c**2 - 10443*c + 219 What is the p'th term of 23475, 47117, 70887, 94779, 118787? -p**3 + 70*p**2 + 23439*p - 33 What is the x'th term of -2351572, -2351582, -2351594, -2351608? -x**2 - 7*x - 2351564 What is the h'th term of 55796, 109558, 163318, 217076, 270832? -h**2 + 53765*h + 2032 What is the p'th term of -58467148, -58467147, -58467146, -58467145? p - 58467149 What is the l'th term of 493, 1007, 1867, 3073, 4625, 6523? 173*l**2 -
{ "pile_set_name": "DM Mathematics" }
)). -4*sqrt(13) Simplify -4*(-1*sqrt(343) + 2 - sqrt(343))**2. -5504 + 224*sqrt(7) Simplify sqrt(12)*2 - (-5 + (1*sqrt(3))**2). 2 + 4*sqrt(3) Simplify (sqrt(363)*-1 - sqrt(1728)) + -2. -35*sqrt(3) - 2 Simplify (sqrt(1331) + -4*(-1 + sqrt(1331)))**2. -264*sqrt(11) + 11995 Simplify (-4*sqrt(104)*6)/((sqrt(8) + sqrt(8)*-2 - sqrt(8))*4). 3*sqrt(13) Simplify (sqrt(24)/sqrt(392))**2 - sqrt(192)*-5. 3/49 + 40*sqrt(3) Simplify (sqrt(14) + (sqrt(14) - -3*sqrt(224)) + sqrt(14))/(2*sqrt(7)*-3). -5*sqrt(2)/2 Simplify (-5*(sqrt(343) + 6*(sqrt(343) - sqrt(343)*-2)))**2. 3095575 Simplify sqrt(13) + -3 + 3 + sqrt(13) + 3 + sqrt(468) + sqrt(13). 3 + 9*sqrt(13) Simplify 2 + -3 + -6*(sqrt(11) - (sqrt(22)/sqrt(2))**2). -6*sqrt(11) + 65 Simplify (-6*(4 + sqrt(500) + 1)*-2)**2. 14400*sqrt(5) + 75600 Simplify -5 + ((sqrt(19) + (sqrt(19) - sqrt(684)*1))**2 - sqrt(19)) + sqrt(19). 299 Simplify sqrt(288) + sqrt(288) + (sqrt(288) + -1)*-5 + sqrt(288). -24*sqrt(2) + 5 Simplify ((sqrt(117) - (sqrt(117) - (sqrt(117) + -2 - sqrt(117)))) + sqrt(117) - sqrt(117))**2 + -4. 0 Simplify sqrt(228)/(3*(sqrt(12) + (sqrt(12) - sqrt(60)/sqrt(5)))). sqrt(19)/3 Simplify sqrt(6)/(sqrt(10)/sqrt(5)) + (sqrt(108))**2. sqrt(3) + 108 Simplify (sqrt(432) + sqrt(432)*-1 + sqrt(432))**2 + sqrt(3) + (sqrt(33)/sqrt(539))**2. sqrt(3) + 21171/49 Simplify 4 + (sqrt(190)*-2)/sqrt(10). -2*sqrt(19) + 4 Simplify 4 + ((sqrt(192)*1 - sqrt(192)) + 2)**2. 8 Simplify -1*(-5 + sqrt(304) - sqrt(304))*-5. -25 Simplify ((sqrt(3)*2 - sqrt(3)) + 4 + -1 + sqrt(15)/sqrt(5))**2. 12*sqrt(3) + 21 Simplify (sqrt(931)*1 + sqrt(931))*-2 - (sqrt(931)*-2 + 0 + sqrt(931)). -21*sqrt(19) Simplify (-5*(-1 + sqrt(2) - sqrt(2)))**2 - sqrt(6)/(sqrt(6)/sqrt(2)). -sqrt(2) + 25 Simplify -4*(sqrt(252)/(sqrt(24)/sqrt(4)))/sqrt(6)*-1. 4*sqrt(7) Simplify 2*(0 + (4*-2*sqrt(75))**2). 9600 Simplify sqrt(102)/(3*sqrt(384)) + 4. sqrt(17)/24 + 4 Simplify 5 + 3*-4*(-2 + sqrt(17)). -12*sqrt(17) + 29 Simplify (sqrt(49)/(sqrt(56)/sqrt(72)) + -1)**2. -6*sqrt(7) + 64 Simplify -2*((sqrt(12) + sqrt(3))**2 + sqrt(3)) + (sqrt(3) - (4 + sqrt(3) + -1)). -57 - 2*sqrt(3) Simplify ((-6*((sqrt(209) - -2*sqrt(209) - sqrt(209)) + sqrt(209)) + sqrt(209) + sqrt(209))/((sqrt(88)/sqrt(4))/sqrt(2)))**2. 4864 Simplify (sqrt(810) - 2*sqrt(810))/sqrt(2). -9*sqrt(5) Simplify 3 + (sqrt(121) - -3*sqrt(121))/sqrt(11). 3 + 4*sqrt(11) Simplify (-3*(2*sqrt(45) + sqrt(45)) + sqrt(45))/(sqrt(9) + sqrt(90)/(sqrt(10)*-3)). -12*sqrt(5) Simplify (sqrt(3136) - (-2*sqrt(3136) - sqrt(3136)))/(-1*sqrt(63)). -32*sqrt(7)/3 Simplify (sqrt(78) - ((sqrt(78)*2 - sqrt(78)) + sqrt(78) - sqrt(78))*-6)/(sqrt(486)*1). 7*sqrt(13)/9 Simplify sqrt(36)/(sqrt(36)/(sqrt(9)/sqrt(3)))*-6. -6*sqrt(3) Simplify -3*sqrt(637)*2 + 3*(sqrt(637) + 0 + sqrt(637))**2. -42*sqrt(13) + 7644 Simplify (-4*sqrt(1300)*6)**2 + -1. 748799 Simplify -5*-5*2*(1 + sqrt(17))**2. 100*sqrt(17) + 900 Simplify -5*(sqrt(68) + -3*((sqrt(68) + (-2*sqrt(68) - sqrt(68)) - sqrt(68)) + sqrt(68) - sqrt(68)) + sqrt(68) + sqrt(68))/sqrt(4) + -4. -60*sqrt(17) - 4 Simplify (sqrt(18)*5*3)/sqrt(9) + 4. 4 + 15*sqrt(2) Simplify (2 + -3*sqrt(468))**2. -72*sqrt(13) + 4216 Simplify (((1*sqrt(364))/sqrt(7))/((sqrt(4) + 1*sqrt(4))*-3))**2. 13/36 Simplify ((sqrt(27) - 4*sqrt(81)/sqrt(3))/((-1*sqrt(99))/sqrt(11)))**2. 27 Simplify (0 + (-3*sqrt(65)*5)/sqrt(5))**2. 2925 Simplify -1 + (2*sqrt(30))/sqrt(10). -1 + 2*sqrt(3) Simplify (-5*((2*sqrt(99) - sqrt(99) - sqrt(99) - sqrt(99) - sqrt(99))*2)/(sqrt(252)/sqrt(7)))**2. 1100 Simplify (sqrt(153)/(-2*sqrt(9)))**2 + 3 - ((sqrt(153) - (2*sqrt(153) - sqrt(153))*4) + sqrt(153))**2. -2419/4 Simplify (2*(2*sqrt(133) + sqrt(133)) - sqrt(133) - sqrt(133))/sqrt(7). 4*sqrt(19) Simplify (((sqrt(60) + 1*sqrt(60))*1)/(sqrt(588) + (sqrt(588) - (sqrt(588)*-2 + sqrt(588)) - sqrt(588))))**2. 5/49 Simplify ((5*sqrt(76)*1 - sqrt(76)) + sqrt(76))/(-3*sqrt(20)/sqrt(5)). -5*sqrt(19)/3 Simplify sqrt(50) - (5*1*sqrt(50))**2 - (sqrt(800) - (2*sqrt(800) - sqrt(800)))**2. -1250 + 5*sqrt(2) Simplify (3 + 1 + sqrt(76) + -1)**2*-4. -340 - 48*sqrt(19) Simplify (-1 + sqrt(1053)*2)**2 + 5. -36*sqrt(13) + 4218 Simplify sqrt(720) + ((sqrt(720) + 0)*-1)**2. 12*sqrt(5) + 720 Simplify (3 + sqrt(6)/(sqrt(2) - (sqrt(2) - (sqrt(128) + 2*sqrt(128)))))**2. sqrt(3)/4 + 1729/192 Simplify 2 + ((-2 + sqrt(1573))*1)**2. -44*sqrt(13) + 1579 Simplify (sqrt(8) - (sqrt(8) + 1))**2 - (-3 + sqrt(8) + sqrt(2))**2. -26 + 18*sqrt(2) Simplify sqrt(35)/(sqrt(20)/sqrt(4)) - (2*sqrt(84))/sqrt(12) - (-6*(sqrt(7)*1 + -3))**2. -576 + 215*sqrt(7) Simplify (-3*((sqrt(13) - (1*sqrt(13) + -2)) + -3))**2. 9 Simplify ((sqrt(190) + (sqrt(190) + 3*sqrt(190))*-5 - sqrt(190)) + sqrt(190))/(sqrt(10) + (3*sqrt(640) - sqrt(640)) + sqrt(10)). -19*sqrt(19)/18 Simplify (5 + (sqrt(1900)*-1 - sqrt(1900)) - sqrt(1900)) + sqrt(1900). -20*sqrt(19) + 5 Simplify (sqrt(120)/sqrt(36))/(2*sqrt(160)). sqrt(3)/24 Simplify (sqrt(108) + -1 + -5)**2 + -1 + (sqrt(108) + -2)**2. -96*sqrt(3) + 255 Simplify (sqrt(1125)/sqrt(5))/(2*sqrt(3)*4). 5*sqrt(3)/8 Simplify (sqrt(56) + -5*(sqrt(56) - -2*sqrt(56)))/sqrt(8). -14*sqrt(7) Simplify -3 + sqrt(539)*3 - (-2 + sqrt(539) + 0 + sqrt(539) + sqrt(539)). -1 Simplify sqrt(171)/sqrt(9) + 0 + 1. 1 + sqrt(19) Simplify sqrt(13)*-2*2 + 4 + sqrt(13) + 0. -3*sqrt(13) + 4 Simplify (1 + sqrt(605))**2 + (sqrt(5) - (sqrt(5) + 0) - sqrt(5)) + -5. 21*sqrt(5) + 601 Simplify (-4 + sqrt(76)*2 + -1 + sqrt(76) + -3)**2. -96*sqrt(19) + 748 Simplify (-1 + 3*(sqrt(833) + ((sqrt(833) - (sqrt(833) + -5 + sqrt(833) + 0)) + sqrt(833) - sqrt(833)) + sqrt(833) - sqrt(833)))**2. 196 Simplify sqrt(25)/sqrt(5) + 4 - -3*sqrt(405). 4 + 28*sqrt(5) Simplify (6*(sqrt(156) + (sqrt(156) - sqrt(156)*-1) - sqrt(156)))/sqrt(12). 12*sqrt(13) Simplify 5*sqrt(52)/sqrt(4)*1 - (4 + ((sqrt(78)*-2 - sqrt(78))/sqrt(6))**2). -121 + 5*sqrt(13) Simplify -4 + 2*sqrt(500). -4 + 20*sqrt(5) Simplify 5*((sqrt(1008) - (sqrt(1008) + -1 + sqrt(1008))) + -2 - (sqrt(1008) - (sqrt(1008) + -1 + -5 + sqrt(1008)) - sqrt(1008))). -35 + 60*sqrt(7) Simplify (sqrt(72)/sqrt(2))/sqrt(12) + 2*2*sqrt(3). 5*sqrt(3) Simplify (-1*sqrt(110)*2)/(-4*sqrt(160)). sqrt(11)/8 Simplify ((1*sqrt(49))/sqrt(7))**2*1. 7 Simplify (1*sqrt(176))/(sqrt(4) + -2*-1*sqrt(4)). 2*sqrt(11)/3 Simplify (-2 + (sqrt(99)*-2*-2)/(2*sqrt(900)))**2. -4*sqrt(11)/5 + 111/25 Simplify -1*sqrt(363)*-4. 44*sqrt(3) Simplify sqrt(28)/sqrt(4) + -2 + 0. -2 + sqrt(7) Simplify 1 + sqrt(13) + -2 + -5 - (2*sqrt(130))/sqrt(10)*-3. -6 + 7*sqrt(13) Simplify (sqrt(1377) + -1 + 5 + -2)**2*-2. -2762 - 72*sqrt(17) Simplify (-3 + (sqrt(13) - (0 + -1*sqrt(13))))**2. -12*sqrt(13) + 61 Simplify sqrt(8)/sqrt(144) + -1. -1 + sqrt(2)/6 Simplify 0 + ((sqrt(7) + sqrt(28)*2)*2)**2. 700 Simplify (sqrt(396) + sqrt(396)*2 + sqrt(396) + 5)**2 + sqrt(396) + 5*((sqrt(396) - sqrt(396)*2) + sqrt(396))**2. 246*sqrt(11) + 6361 Simplify 1*(-3*sqrt(20)/sqrt(4) + sqrt(5)). -2*sqrt(5) Simplify (sqrt(2299)*2 + 5 + sqrt(19) + 0)**2. 230*sqrt(19) + 10076 Simplify 2*(sqrt(252)*-1 - sqrt(28))/(sqrt(400) + (sqrt(400) - (sqrt(400) - (sqrt(400) - -1*sqrt(400)) - sqrt(400)) - sqrt(400))). -4*sqrt(7)/15 Simplify (-1*sqrt(77)*6)/(-3*sqrt(112)). sqrt(11)/2 Simplify -2 + 2*((sqrt(2) - -2*sqrt(2))*-2 + (4 + sqrt(32) + sqrt(2) - sqrt(2))**2). 52*sqrt(2) + 94 Simplify (sqrt(108)*-1 - sqrt(12))/sqrt(4). -4*sqrt(3) Simplify (4 + sqrt(3888) + 1)**2. 360*sqrt(3) + 3913 Simplify (sqrt(1764)*2)/sqrt(7). 12*sqrt(7) Simplify ((sqrt(200) + -1)*-6)**2. -720*sqrt(2) + 7236 Simplify (2*(-1 + sqrt(5) + 1))**2 - (sqrt(5) + -1 + 0)*1. -sqrt(5) + 21 Simplify (sqrt(156) - (6*(-2*sqrt(156) - sqrt(156)) - sqrt(156)))/(sqrt(192) - (sqrt(192) + sqrt(192)*1)). -5*sqrt(13) Simplify -5 + (sqrt(1216) + 0)**2. 1211 Simplify (sqrt(35)/sqrt(5)*6 - (-4 + sqrt(28)/sqrt(4)))**2. 40*sqrt(7) + 191 Simplify (sqrt(3267) - (1 + sqrt(3267) + 1))**2 + -3. 1 Simplify (4 + (sqrt(42)/sqrt(3))/sqrt(7) + (sqrt(2) - (sqrt(162) + 1)))**2. -42*sqrt(2) + 107 Simplify 4*(sqrt(192) + 0)**2. 768 Simplify (-3*-2*sqrt(11))**2 + (sqrt(11) - sqrt(33)/sqrt(3)*3). -2*sqrt(11) + 396 Simplify ((-5*(sqrt(170) - (sqrt(170) + sqrt(170)*1)))/(sqrt(10) + sqrt(90)*-2 + sqrt(10)) + -3)**2. 15*sqrt(17)/2 + 569/16 Simplify 4 + -1 + sqrt(1100). 3 + 10*sqrt(11) Simplify ((-1*sqrt(156)*-1)/(2*s
{ "pile_set_name": "DM Mathematics" }
? -411.80115278873 Calculate 4 + -53115725134. -53115725130 What is 923728993505 plus 2? 923728993507 What is -1875.43957 take away -778.54? -1096.89957 2+-1099482547655.4 -1099482547653.4 What is -2442160 + -11998527? -14440687 Total of -0.04440511801877 and 0.3. 0.25559488198123 Add -9456423.945 and -2.219. -9456426.164 What is 412768259985937 plus 0.2? 412768259985937.2 Total of 3693332.814 and 68193. 3761525.814 Calculate -0.0502 - 1412761867530. -1412761867530.0502 Work out -4870517987474 + 0.1. -4870517987473.9 Subtract 4922889746 from -5886. -4922895632 Add -1230 and -805.547009. -2035.547009 What is the difference between -1700639459 and 51116? 1700690575 Work out -0.07 - 104.7436746114. -104.8136746114 Add together -0.2372885 and -22158. -22158.2372885 Work out -31 - -19337164.465. 19337133.465 What is -194645.2 minus -95336002? 95141356.8 Sum -34938042380.26 and 0.06. -34938042380.2 Total of 0.099 and -228990917. -228990916.901 What is the distance between -795632839 and 46.2? 795632885.2 Calculate -71208 + -3672410920. -3672482128 Work out 40934031244.5 - -23.5. 40934031268 Add -20579020.1693 and 3529. -20575491.1693 Add -194789196 and 0.09437. -194789195.90563 Add 0.0125801968009 and -0.3. -0.2874198031991 Work out -152111.6 - 5944111. -6096222.6 Calculate -1524980975 - 1084. -1524982059 What is -5952656414 + 40.1? -5952656373.9 Add together 810199783 and -1.19. 810199781.81 What is 11901.2 minus -491.251928? 12392.451928 Subtract -31.56 from 15088392. 15088423.56 What is -819768 plus 6600252? 5780484 What is the difference between 0 and -115415902590458? 115415902590458 -7803771+2262.83 -7801508.17 0.6284353077498 + 0.4 1.0284353077498 Total of -420210360 and -915. -420211275 Add 0.04451542 and -4.40961. -4.36509458 Sum -616.9975913 and 41.5. -575.4975913 What is 2267152066.80932 - 0.5? 2267152066.30932 0.052 - 2510461956 -2510461955.948 -74098182666743+0.3 -74098182666742.7 0.09121 + 0.8421485 0.9333585 Calculate 0.2481847223 - 0.425. -0.1768152777 What is 59662715315 less than 7? -59662715308 Calculate 0.2308 + -57086589.9. -57086589.6692 11494+-1846000399 -1845988905 Subtract 846841 from 0.019523. -846840.980477 Add together -0.5 and -82715944799778. -82715944799778.5 Work out 66202.4 - 3622243.7. -3556041.3 What is 45.94573234186 plus 65? 110.94573234186 What is -0.0608 take away 48777198253? -48777198253.0608 What is 0.3 less than -31.07811237057? -31.37811237057 What is 4 + -91197791952278? -91197791952274 Work out -609525574 + 5.5889. -609525568.4111 Add together 3 and 1454.14281986. 1457.14281986 What is -2 - 40964736858939? -40964736858941 -27815 - 469533.402 -497348.402 What is -58 plus 3754060.3? 3754002.3 What is -4591507833 + -33954? -4591541787 What is -8869.82167451 less than 4? 8873.82167451 What is -2.1 minus 351748093493? -351748093495.1 What is 272537 less than -142.903? -272679.903 96.1 - -63780829 63780925.1 Subtract 286680 from -56795.5231. -343475.5231 What is -10617.702 less than 0.01821835? 10617.72021835 What is -133395979222196 take away 2? -133395979222198 What is the distance between -1302342 and -0.437303? 1302341.562697 What is 1644762853837.11 take away 0.4? 1644762853836.71 What is -141974246654712 minus 0.5? -141974246654712.5 Calculate -105201 - 7087289. -7192490 What is -612 + -834875409058? -834875409670 Put together 902250 and -124775. 777475 -404200721696+-1 -404200721697 What is the difference between 50540384 and 25384? 50515000 12931526112 - -3 12931526115 Add 154959 and 3.878513922. 154962.878513922 Subtract -10963440.8378 from -1.303. 10963439.5348 What is -542.62 - -69.8541? -472.7659 Work out 6483.4 - -1.421390846. 6484.821390846 -0.040271605 - 0.00323 -0.043501605 Work out -2292731 + -57016723. -59309454 What is 0.4 + 54582097182? 54582097182.4 -4123+47925723000 47925718877 Work out -108339 - 7473237. -7581576 Subtract 106438331207111 from 0. -106438331207111 What is -40271778.53759 minus -1.3? -40271777.23759 What is -121889 - 9607.65066? -131496.65066 Put together -17.296678 and 6586239. 6586221.703322 605 - 230633943 -230633338 What is -21839 + 127834.88? 105995.88 What is 539414.2 + -10.5438? 539403.6562 -5+-7.37180544534 -12.37180544534 What is 512461.2 - 916459? -403997.8 Calculate 29413156755 + 39.5. 29413156794.5 Subtract 1.2 from -422428309930. -422428309931.2 Sum 95776892611 and -0.451. 95776892610.549 What is -166694150 - -3718? -166690432 What is 5818.4869 - -2105634? 2111452.4869 What is -652807856 plus -0.092791? -652807856.092791 Sum 1 and 0.7016619969. 1.7016619969 Work out -20938148758 - 6547. -20938155305 What is -37 less than 29121600325? 29121600362 Put together -12655569.51 and -4041. -12659610.51 Work out 49830957 + -189368. 49641589 Subtract -540.219911 from -139450. -138909.780089 What is -7.01218 + 621.23? 614.21782 -551949741 - -69104 -551880637 What is -1390 + -356.700264? -1746.700264 What is the distance between 122154383620 and -1272? 122154384892 Calculate -1279245019 - -3.3. -1279245015.7 Calculate -563468 + 48672479. 48109011 What is 58006.386 take away 0.0844? 58006.3016 Sum 0.4 and -49286342171. -49286342170.6 What is -22866 minus 534841362? -534864228 What is 126668 plus -1185.573393? 125482.426607 What is 0.1 less than -4062005062796? -4062005062796.1 Calculate 0.145 + -139135941.96. -139135941.815 Sum 624 and 30824951116.2. 30824951740.2 What is 34316540835 - 0.0505? 34316540834.9495 Work out -6.74 - -2105673. 2105666.26 What is 86229 + -338124739? -338038510 6+-5732631486919 -5732631486913 What is -13923 take away 184958635? -184972558 4925420+4949.4 4930369.4 Put together -1 and -3086482409. -3086482410 Subtract 29759.1546 from -1.146603. -29760.301203 Put together 785697295 and -251.1. 785697043.9 What is the distance between -341 and -268482176? 268481835 59.63+-5833821268 -5833821208.37 Subtract -3917 from -195805064.1. -195801147.1 What is -3.72 less than 1849160278? 1849160281.72 -2175136 + 1646.3081 -2173489.6919 Add together 420692630 and 1170. 420693800 -10287 + 9029616662 9029606375 Work out -263640.11 - -6390. -257250.11 What is -0.2 take away -402557008068? 402557008067.8 -477421560.94 + -1 -477421561.94 -4304965573 + -434 -4304966007 What is the distance between -0.687503 and 36294627? 36294627.687503 Add together 5.627 and -5349.39968. -5343.77268 What is 0.01 less than -1157951.2876? -1157951.2976 Calculate -0.2 + -14175369926. -14175369926.2 What is the difference between 49.75520068293 and 2? 47.75520068293 What is -2.6525 minus 4347390566? -4347390568.6525 What is the difference between 1323403 and 726915? 596488 Subtract -0.0337359 from 219039.54. 219039.5737359 What is -1 minus 24724187.7173? -24724188.7173 Total of -563922 and -29136269. -29700191 Total of 17823087 and 319693. 18142780 What is -0.5 + 49138223948? 49138223947.5 What is 170.8451893 minus 1? 169.8451893 Total of -783384407 and 1674. -783382733 Sum 6777.198280378 and -0.14. 6777.058280378 What is the difference between -839.7 and 0.112847312? 839.812847312 -0.05 + 82529950837 82529950836.95 What is -133.8862409 minus 0.042? -133.9282409 What is 165249093340 - 9? 165249093331 Sum 277901.704 and -10.002. 277891.702 Total of 1710 and -191156016. -191154306 What is the difference between 202458.830347 and -11? 202469.830347 Work out 0.6 + 4444941662750. 4444941662750.6 What is -49858776923 take away -7? -49858776916 What is -397491.3 less than 183955? 581446.3 Work out 49229 + 6.67823164. 49235.67823164 What is the difference between 0.0202941 and -585989? 585989.0202941 What is -0.4 less than -33575888288.7? -33575888288.3 Subtract 344512075761 from 2. -344512075759 Calculate 24 - 6.456720205743. 17.543279794257 Subtract 21554331 from -27704.9. -21582035.9 Work out 254783 + 382124384. 382379167 Subtract 0.082643065011 from 7.2. 7.117356934989 Total of -226719 and -5.9215. -226724.9215 What is the difference between -4.7895261 and -8.197? 3.4074739 What is -1.3 take away -20022424346? 20022424344.7 Calculate -38008 - 34746184276. -34746222284 Sum 125895.43 and 388244. 514139.43 What is -667.1 take away 598823863? -598824530.1 -1374821302.6 - -450.4 -1374820852.2 Add 3253238571 and -24.675. 3253238546.325 Work out 391372.26 + -102187. 289185.26 -3.8734478 - -1889
{ "pile_set_name": "DM Mathematics" }
/((-12)/(-3)). Suppose -r*t = -t - 2. Suppose 3*d - i - 45 = t*i, -d + 4*i = -30. Is 3 a factor of d? False Let o be (-126)/(-12) + 2/(-4). Let m be 586/o + (-6)/(-15). Let r = m + -35. Is r a multiple of 8? True Let g(r) be the third derivative of -r**4/6 + r**3/6 + 8*r**2. Is g(-9) a multiple of 8? False Suppose -4*b + 2*w + 336 = 74, -5*w + 101 = 2*b. Does 7 divide b? True Suppose -3*l + 2193 = 4*q + 201, 5*l - 5*q = 3285. Is 44 a factor of l? True Let w be (-12)/(-60) - 81/5. Let g = 11 + w. Is g/((-5)/3) + 26 a multiple of 17? False Let g(s) = -38*s - 2. Suppose 4*m + 24 = -0. Is g(m) a multiple of 17? False Let i = 137 + 718. Does 19 divide i? True Suppose 2*k - 5 = 3. Let h = 58 - -209. Suppose h = k*n + 91. Does 10 divide n? False Suppose 27*j - 7762 - 29849 = 0. Is 8 a factor of j? False Suppose 35 + 9 = 4*p. Let c = p + -6. Suppose -c*v - 4*z = -144, 5*v - v = z + 111. Does 14 divide v? True Let g(s) = s**2 - 12*s + 13. Let w be g(11). Is 8 a factor of (0 - w/13) + (-3752)/(-52)? True Let p be (-38 + 2)*25/15. Let i = -27 - p. Does 11 divide i? True Suppose -1700*s + 1703*s - 2502 = 0. Is s a multiple of 6? True Suppose 0*m = 4*m. Is 6 a factor of (-2 + m)/(9/(-162))? True Let m = 1046 - 287. Does 69 divide m? True Let x = 101 + -99. Suppose -2*m - 108 = -x*t, 2*t - 102 = -0*t - m. Is 13 a factor of t? True Let v(x) = -x**3 - 8*x**2 - 5*x + 12. Let w be v(-7). Is 22 a factor of w/(-6) - (-1315)/15? True Let h(c) = 142*c + 556. Does 13 divide h(10)? True Does 76 divide 1933 - (1 + (16 - 9))? False Suppose 5*p - 68 = 17. Suppose -16*i - 19 = -p*i. Is 19 a factor of i? True Suppose 2*y = -71 - 79. Let o = y + 192. Does 9 divide o? True Let s(l) be the first derivative of -l**5/15 + l**4/3 + l**3/3 + 5. Let q(z) be the third derivative of s(z). Is q(-4) a multiple of 11? False Let b(j) = 9*j**3 - 2*j - 1. Let l(z) = z**2 - 8*z - 10. Let o be l(9). Let u be b(o). Is (59 + u/(-4))*1 a multiple of 17? False Let f(d) = d**2 + 5*d**2 - 9*d**3 + 7*d + 11 + 7*d**3 - 2*d**2. Is 10 a factor of f(-3)? True Let w be (-1)/(-2) - 35/10. Let h be (2/w)/((-26)/117). Suppose -h*x + 47 = -x + 5*u, 22 = x + 4*u. Is 23 a factor of x? False Let a(w) = 16 + 19*w + 0 + 5 - 3*w. Does 11 divide a(3)? False Suppose -5*h + 18 = 4*a + 63, 0 = a + 3*h + 13. Let b be a/(-30) + (-10)/(-6). Suppose -b + 110 = 4*q. Is 9 a factor of q? True Let a(l) be the first derivative of l**2 - 22*l + 12. Does 7 divide a(18)? True Suppose -2085 - 26515 = -40*x. Does 120 divide x? False Does 26 divide (-25 - -18)*2470/(-35)? True Suppose -b = -2*m - 30, 5*b - 3*m - 2*m = 135. Let z = -3 + b. Is 7 a factor of z? True Let k(j) = j**2 - 14*j + 18*j - 7*j - 7. Let q(v) = -v + 4. Let s be q(-4). Is 11 a factor of k(s)? True Let x(q) = -q**3 + 4*q**2 + 10*q + 12. Let v be x(6). Suppose -4*m = -5*t - v*m + 270, 0 = 5*m. Is 9 a factor of t? True Let q(t) = 5*t**2 + 1. Let w be q(-1). Suppose 7 = 2*i + 3, i = -s + w. Does 9 divide 4 + -1 - (s - 19)? True Suppose -137 = 9*q - 1019. Suppose 4*u - 338 = -q. Is 20 a factor of u? True Suppose 0 = 7*u - 105 - 420. Is u a multiple of 7? False Let v(m) = -m**3 + 2*m**2 + 2. Let g be v(2). Let l be 0 + 0 + -6 + g. Does 13 divide (-2)/l*0 + 32? False Is 3 a factor of ((-32)/12 + 4)*102/4? False Let r(f) be the second derivative of f**5/20 - f**4/2 - f**3/6 - 5*f**2/2 + 12*f. Does 8 divide r(7)? False Let a(s) = -s**2 + s + 1. Let o = 5 + -6. Let x(f) = -11*f**2 + 10*f + 5. Let t(k) = o*x(k) + 5*a(k). Is 19 a factor of t(4)? True Suppose -354 = -4*j - 2*j. Is 48 a factor of j? False Let o be (-171)/(-6)*14/(-21). Let f = 42 + o. Does 6 divide f? False Is 39 a factor of 29476/36 - 20/(-90)? True Let z(j) = -j**2 + 6*j - 4. Let w be z(4). Suppose 6*p = p + 3*n + 58, -3*p - w*n + 58 = 0. Let b = p - 3. Is b a multiple of 11? True Suppose -2*z + 108 = -3*c, 127 = 5*z + 5*c - 168. Is 30 a factor of z? False Let t(v) = -8*v**2 - 5*v + 4. Let z(j) = j. Let m(s) = -t(s) - 4*z(s). Let k be m(-2). Suppose 3*x = 2*y - y - 3, -2*x + k = 4*y. Is y even? True Is 9 a factor of (-477)/(-5) - 162/405? False Suppose 4*x + 4*j + 2 = 2*x, -3*j = x - 2. Suppose 11*o - 45 = 6*o. Let v = o - x. Does 7 divide v? False Let l(w) = 2*w**2 + 9*w - 47. Is l(-19) a multiple of 15? False Suppose 3*l - d = 247, 4*l - 280 - 45 = -3*d. Is l a multiple of 2? True Suppose -8 = -9*g + 37. Suppose -2*z + 27 = d, -g*d - 4*z + 135 = z. Is d a multiple of 9? True Let l(i) = 2*i**2 - 40*i + 10. Is 6 a factor of l(-6)? False Let h(n) = 3*n**2 + 4*n + 16. Does 43 divide h(-4)? False Suppose -12*l = -13*l + 4. Suppose 0 = -l*a - 3*u + 325 + 152, 4*u = 2*a - 222. Is a a multiple of 20? False Suppose 0 = 16*a - 93*a + 151613. Does 11 divide a? True Let g = -12 + 14. Let i(o) = o**3 - o**2 - 3*o + 1. Let j be i(g). Does 11 divide j - -3 - (-24 - 3)? False Let q(k) = -83*k + 195. Does 13 divide q(-8)? False Let b = -152 + 262. Suppose 2*n + 3*j = 105, 3*j - b = -2*n - j. Does 9 divide n? True Suppose -8*q = -3 - 13. Suppose 0 = 3*v - 0*p - 2*p - 22, -2*p - q = 2*v. Suppose 158 = v*m - 134. Does 13 divide m? False Suppose -q = -4 + 6, 4*b - q - 802 = 0. Suppose -13*d - b = -15*d. Is d a multiple of 26? False Suppose -27*n + 32*n = 460. Let p = -16 + n. Does 19 divide p? True Let d(w) be the first derivative of 2*w**3/3 - 3*w**2 + 3*w + 9. Let x be d(2). Let h = 17 - x. Is 18 a factor of h? True Let a(b) = b**2 + 2*b + 1. Let w be a(-4). Let y = 20 - w. Suppose 7*o = y*o - 24. Does 3 divide o? True Suppose -30 = -10*y + 8*y. Does 15 divide y? True Suppose 3*u = -2*y + 21, -3*u - 1 = 2. Let k = 30 + y. Is 7 a factor of k? True Suppose -1377 = -8*y + 983. Does 5 divide y? True Suppose -10*m - 4034 = -20064. Is 18 a factor of m? False Let h(g) be the second derivative of g**4/12 + 8*g**2 - 5*g. Is 20 a factor of h(-12)? True Suppose -9 = 3*u, 4*b + 4*u = u - 5. Is -4 + (b/(-3))/((-1)/282) a multiple of 30? True Let b(t) = 8*t**2 - 9*t - 9. Is b(9) a multiple of 46? False Let y = -1338 + 3532. Is y a multiple of 11? False Let q(y) = -5*y**3 + 6*y**2 - 4*y - 4. Let o(i) = 5*i**3 - 7*i**2 + 5*i + 5. Let s(b) = 5*o(b) + 6*q(b). Let k be s(-2). Let u = k - 18. Is u a multiple of 14? False Let v = 22 + -18. Suppose -549 = -v*c + s, 0*c + s + 411 = 3*c. Is 10 a factor of c/4 - (-7)/(-14)? False Suppose a + 5*u = 12 + 66, 4*a = -3*u + 346. Is 22 a factor of a? True Suppose 5*t - 12555 = 5*f, 2*t - f + 869 - 5896 = 0. Does 74 divide t? True Let n(y) = 39*y + 1. Is 10 a factor of n(11)? True Suppose 0 = d - 4*f - 435, -2*d - 2*f = -1017 + 107. Is 58 a factor of d? False Let i(p) = p - 1. Let n(h) = 12 + 9 - 6*h**2 - 14 - 9*h. Let g(t) = -6*i(t) - n(t). Is g(2) a multiple of 29? True Let b(c) = -99*c - 176. Is 52 a factor of b(-11)? False Let t = -1490 + 1649. Does 6 divide t? False Suppose 0*c - 160 = -4*c. Suppose -2*s - 3*s - c = 0. Let r(q) = q**2 + 5*q + 10. Is 9 a factor of r(s)? False Suppose 4*k = 4*o + 12, 3*o - o + 21 = 5*k. Suppose -s = o*v + 29, s = 4*s - 3*v + 78. Let h = s - -63. Is h a multiple of 9? True Is 51 a factor of -1062*(-5 - -4) - -9? True Let b(i) = -i**3 - 10*i**2 - 2*i - 17. Let y be b(-10). Is (-5*2)/(y/(-12)) a multiple of 17? False Let v be 10 + -1 + 1 + (-1 - -1). Suppose 0 = -5*d + v, -i + 5*d + 339 = -0*i. Is 25 a factor of i? False Let s(a) = 3*a**3 - 9*a**2 + 2*a + 16. Does 44 divide s(6)? True Let q = 34 - 30. Suppose -q*p - 1 = -309. Is p a multiple of 11? True Is 22 a factor of (-6600)/36*(0 + 12/(-10))? True Suppose 0 = 3*f + 3, 6*f = 5*x + 3*f - 2843. Is x a multiple of 14? False Let b = 25 - 22. Suppose -4*w + 2*x = -0*w - 82, 2*x - 58 = -b*w. Is w a multiple of 4? True Let o(s) be the first derivative of 5*s**3/3 + 5*s**2/2 - 5*s - 8. Is o(-5) a multiple of 19? True Let y(j) = j**3 - 25*j**2 - j + 27. Let h be y(25). Suppose 4*v = h*r + 8*v - 124, 4*r - 3*v = 193. Does 20 divide r? False Let a(u) be the second derivative of u**4/4 + u**3/6 + u**2/2 - 4*u. Is a(-4) a multiple of 12? False Suppose -5*t + 7302 = -2148. Is t a multiple of 135? True Let y = -1 - -1. Let s be 67 - (-2 - (y - 2)). Suppose n = -0*b - 3*b + s, -3*n - 39 = -b. Is 8 a factor of b? True Let m = 139 + -127. Let i = 111 - m. Does 11 divide i? True Suppose 2*w - 29 = -25. Let x(d) = d**2 + 8*d + 6. L
{ "pile_set_name": "DM Mathematics" }
= 0. Calculate the greatest common factor of w and 80. 20 Let k = 3 + -6. Let d be (-2)/6*k - -23. Suppose -2*s = -0*s - d. Calculate the highest common factor of 8 and s. 4 Suppose -96 = 11*w - 690. What is the greatest common divisor of 18 and w? 18 Let v(g) = -g - 3. Let o be v(3). Let t be (-492)/(-27) - o/(-27). Calculate the highest common divisor of 72 and t. 18 Let n(f) = f**2 + 9*f + 14. Let z be n(-7). Suppose z*m + 2*m + 13 = 3*q, 0 = -q - m + 6. Let y be 1*(1 + 0)*1. What is the greatest common factor of y and q? 1 Let s(w) = -w**3 - 3*w**2 + 3*w. Let v be s(-4). Suppose 0*d = 2*h - v*d - 30, 0 = -5*d - 20. Calculate the greatest common factor of h and 7. 7 Let i(g) = g**3 - 3*g**2 + 3*g + 7. Let m be i(5). Let f(r) = -r**3 + 8. Let l be f(0). Calculate the greatest common divisor of l and m. 8 Let z(i) = -i**3 + 4*i**2 + 3*i + 3. Let j be z(5). Let q be (-2)/8*-2*110. Let h = q + j. Calculate the greatest common factor of 12 and h. 12 Let l(o) = -6*o**2 - 3*o. Let p be l(-4). Let t = 273 + p. Suppose -q = 2*q - t. What is the highest common divisor of 7 and q? 7 Let o(u) = -2*u + 4. Let b be o(-4). What is the greatest common factor of b and 132? 12 Let h be ((-11)/(-1))/(2/16). What is the highest common divisor of h and 8? 8 Suppose 140 = 9*t - 4*t. Calculate the highest common divisor of t and 70. 14 Suppose l - 3*l + 16 = 0. Calculate the greatest common factor of 2 and l. 2 Let h be ((-112)/20)/(2/(-5)). Let q(l) = 9*l + 10*l + 0*l - h. Let i be q(10). What is the greatest common divisor of 16 and i? 16 Suppose -7*l + 18*l = 495. Calculate the highest common factor of l and 60. 15 Let a(c) = -c**3 - 4*c**2 + 4*c + 1. Let s be a(-3). Let n be 2/(-10) + (-1764)/s. Let v be (10/15)/(6/99). Calculate the greatest common factor of n and v. 11 Let j = 0 + -1. Let h = 15 + j. Let z(a) = 17*a + 5. Let m be z(3). Calculate the greatest common divisor of m and h. 14 Let g(l) = -l**3 + 3*l**2 - 3*l - 2. Let u be g(4). Let t = u + 100. What is the highest common divisor of t and 28? 14 Let w(x) = 12*x - 1. Let b be w(-1). Let t = b + 14. What is the greatest common factor of 7 and t? 1 Let o be (-2)/3 - (-124)/6. Suppose 202 = 3*c + 112. What is the greatest common factor of o and c? 10 Let f = 56 - 3. Suppose 0 = -4*u - r - r + 34, 5*u - r - f = 0. What is the greatest common divisor of u and 40? 10 Let s(c) = -c**3 + 5*c**2 + 6*c + 2. Let r be s(6). Calculate the greatest common factor of r and 2. 2 Let a(t) = 7*t**2 - t - 1. Let p be a(2). Let b be ((-22)/(-4))/(1/(-2)). Let h be -1*1 - b/1. Calculate the highest common factor of h and p. 5 Let o(v) = -v**3 - 10*v**2 - 10*v - 4. Let h be o(-9). Suppose h*l = -t + 441, -3*l + t + 190 = -73. Calculate the highest common divisor of l and 11. 11 Suppose 5*t + 83 = 523. What is the greatest common factor of 11 and t? 11 Let n = 3 + 35. What is the greatest common factor of n and 19? 19 Let o = -7 - 3. Let k = 4 - o. What is the greatest common divisor of k and 14? 14 Suppose -73 = -4*k + 3. Suppose 5*z - 152 = 3*z. What is the highest common factor of k and z? 19 Let y = 63 - 46. Calculate the highest common divisor of 119 and y. 17 Let c = -22 + 31. Let m = -5 + c. Let y be 3/6 + 526/m. Calculate the highest common factor of y and 12. 12 Let k be 0 + (-111)/(-3) + 5. Let a(s) = 4*s - 6. Let d be a(5). What is the highest common divisor of d and k? 14 Let w(p) = -3*p - 4. Let d be w(-13). What is the highest common divisor of 7 and d? 7 Let k(n) = 0 - 15*n + 3 + 1 - 3 - n**2. Let r be k(-7). Calculate the highest common divisor of r and 38. 19 Suppose 0*v - 3*v = 45. Let o = -7 - v. Calculate the greatest common factor of o and 88. 8 Let s(v) = -v + 3. Let l be s(-13). Let y(r) = 2*r**3 - 2*r**2 - 3*r + 2. Let z be y(2). Calculate the highest common factor of z and l. 4 Let p(v) = 3*v**2. Let a be p(-1). Let l be 10 - (-6)/((-6)/a). Let r = 138 - 75. Calculate the greatest common divisor of r and l. 7 Let a = 7 - 14. Let u = a - -11. Calculate the highest common divisor of 2 and u. 2 Suppose 5*x + 0*u + 4*u - 21 = 0, 0 = -4*u + 16. Let v = x + 5. Suppose y + v = -3*b, -3*y + b = -b - 15. Calculate the greatest common divisor of 33 and y. 3 Let b be (-3)/(-9) + 262/6. Suppose f = -f - b. Let h = f + 37. What is the greatest common divisor of 15 and h? 15 Suppose 2*g + 1 = 9, a - 62 = -3*g. Calculate the highest common factor of a and 20. 10 Let f = 312 + -184. What is the greatest common divisor of 8 and f? 8 Let f = 4 - 0. Suppose -3*g + 12 = f*m + g, -3*m = -5*g - 25. Suppose 5*r = -5*h + 90, -h = -2*r + 2*h + 46. What is the highest common factor of r and m? 5 Let y be 61/2 + 1/(-2). Suppose -90 = -c + 98. Suppose c = 4*g - 2*f - 0*f, -3*f = -2*g + 102. Calculate the highest common factor of g and y. 15 Suppose 4*n - 28 = 4*q, 27 - 10 = 5*n + q. Suppose -h + 2 = -4*g - n, 2*h - 33 = g. What is the greatest common factor of 54 and h? 18 Let d(k) = -16*k - 16. Let u be d(-4). What is the highest common divisor of 96 and u? 48 Let i be (2/6 + 3)*-6. Let b = -4 - i. Let n(f) = -f**2 - 4*f + 7. Let c be n(-5). Calculate the highest common factor of b and c. 2 Let w(g) = -g - 3. Let o be w(-2). Let m be (-4 - o)*(-6)/18. Suppose -2*u + 4*t = -0*u - 24, -t = m. What is the highest common factor of 15 and u? 5 Let t(m) = m - 10. Let o be t(16). Calculate the greatest common factor of 2 and o. 2 Suppose 5*n = -7 + 52. Calculate the greatest common factor of 9 and n. 9 Let n(c) = 5 + c + 2 + 13. Suppose -l = 3*q + 12, 5*q - 1 + 21 = -l. Let p be n(l). What is the greatest common divisor of p and 4? 4 Let v(t) be the third derivative of -t**6/8 + t**3/6 + 4*t**2. Let n be v(-1). What is the greatest common divisor of 24 and n? 8 Suppose j - 19 = 2. What is the highest common factor of 28 and j? 7 Let t(a) = 15*a**2 - 2*a - 1. Let g be t(2). Suppose 3*m = -4*w + 236, -m + 2 = -3*w - g. What is the greatest common divisor of 8 and m? 8 Let p(m) = 3*m**2 - 3*m. Let z(o) = -3*o**2 + 4*o. Let j(i) = 6*p(i) + 5*z(i). Let f be j(-2). Calculate the greatest common factor of 72 and f. 8 Let v(h) = -h**3 + 5*h**2 + h - 4. Let f be v(4). Let k(q) = -q**3 - q**2 + 5*q - 6. Let g be k(-6). What is the greatest common factor of g and f? 16 Let s(n) = -n**2 + 14*n - 11. Let v be s(13). What is the greatest common divisor of v and 6? 2 Suppose 4*o - 84 = -3*f, -5*f - o - 4*o + 140 = 0. Let g(m) = -m. Let u be g(-11). Suppose -3*t = -10 - u. What is the greatest common divisor of t and f? 7 Let c be ((-110)/(-15))/((-7)/(-6) + -1). Calculate the highest common factor of 33 and c. 11 Let q = -101 + 127. Calculate the highest common factor of q and 208. 26 Suppose q + 5 = f, 6*f + 5*q = 2*f + 2. Let v(o) = 5*o + 3. Let y be v(f). Calculate the highest common factor of y and 18. 18 Suppose -5*z + 10 = 0, 0 = -4*n + n + 5*z + 2. Suppose 14 = n*f - 6. Calculate the greatest common factor of 45 and f. 5 Let d = 7 - -19. Let s = 37 + 15. What is the highest common divisor of s and d? 26 Let a = 14 + -23. Let b = -4 - a. What is the highest common factor of b and 20? 5 Let o(s) = 4*s**2 + 0 + 3*s - 2 + 5. Suppose -4*f - 12 = -f. Let c be o(f). What is the highest common factor of c and 5? 5 Suppose -21*h = -20*h + 6. Let t be (-123)/h + 6/(-4). Calculate the highest common divisor of t and 133. 19 Suppose 3*p - 21 = 3*w, 2*w + 6 = 4*p - 28. Suppose -b + 106 = -m - m, 0 = -5*b - 5*m + 560. What is the highest common factor of b and p? 10 Suppose -3*v = v - 396. What is the greatest common factor of 9 and v? 9 Let k be ((-2)/6)/((-1)/12). Let c(s) be the second derivative of s**3/6 + s**2/2 + 4*s. Let j be c(9). Calculate the highest common factor of k and j. 2 Suppose -5*a + 58 + 67 = 0. What is the greatest common divisor of 5 and a? 5 Let k(n) be the second derivative of -n**3 + 3*n**2/2 - 3*n. Let u be k(-6). Calculate the greatest common divisor of u and 13. 13 Let d(i) = i**3 + 11*i**2 + 6*i - 23. Let f be d(-10). What is the highest common divisor of f and 51? 17 Let k(m) = -m**3 + 6*m**2 + 7*m + 9. Suppose 3*g - 5 = p, -2*p + 8*g - 3*g = 6. Let n be k(p). What is the greatest common factor of n and 18? 9 Let z be (-102)/(-10) - 1/5. Suppose 12 + z = 2*x. What is the highest common factor of x and 88? 11 Let r(y
{ "pile_set_name": "DM Mathematics" }
22 Calculate the highest common divisor of 1060 and 1435505. 265 What is the greatest common factor of 3276 and 21931? 91 Calculate the greatest common divisor of 102 and 1614. 6 Calculate the highest common factor of 693 and 296181. 9 What is the greatest common divisor of 267715 and 35? 35 Calculate the greatest common divisor of 3585 and 86757. 717 What is the highest common factor of 3646325 and 1570? 785 What is the greatest common factor of 11460 and 3660? 60 Calculate the greatest common factor of 8815 and 121690. 215 Calculate the greatest common divisor of 197 and 7737766. 197 What is the greatest common divisor of 16541 and 357? 119 What is the highest common factor of 96 and 102972? 12 Calculate the greatest common divisor of 18070 and 34970. 130 Calculate the greatest common divisor of 42332 and 76. 76 What is the greatest common divisor of 1007 and 10971? 53 Calculate the greatest common factor of 142 and 118073. 71 What is the greatest common divisor of 9401 and 17696? 553 Calculate the highest common divisor of 20 and 2899070. 10 What is the greatest common factor of 60500 and 10? 10 Calculate the highest common divisor of 227003 and 14. 7 What is the highest common factor of 193739 and 91? 91 Calculate the greatest common divisor of 279274 and 4982. 94 What is the greatest common factor of 22095 and 3015? 45 What is the highest common factor of 9760 and 100? 20 What is the greatest common factor of 90663 and 423? 141 Calculate the highest common divisor of 37198 and 126. 14 Calculate the highest common divisor of 59573 and 615. 41 What is the highest common divisor of 14 and 124600? 14 Calculate the highest common factor of 11 and 37312. 11 Calculate the greatest common factor of 2 and 7442. 2 Calculate the highest common factor of 9852 and 9031. 821 What is the highest common divisor of 100 and 16900? 100 What is the greatest common factor of 36855 and 1080? 135 What is the greatest common factor of 66 and 2256? 6 What is the highest common divisor of 635 and 58039? 127 What is the highest common divisor of 126163 and 553? 79 What is the highest common divisor of 558 and 4878? 18 Calculate the greatest common divisor of 2079 and 35805. 231 What is the greatest common divisor of 4191 and 55506? 33 What is the highest common divisor of 854 and 154? 14 Calculate the highest common divisor of 310766 and 2. 2 Calculate the highest common divisor of 2414 and 272. 34 Calculate the highest common divisor of 27794 and 15054. 26 What is the highest common factor of 6384865 and 5? 5 Calculate the greatest common divisor of 189 and 4515. 21 Calculate the highest common factor of 90174 and 6726. 114 Calculate the highest common factor of 3 and 142977. 3 What is the highest common divisor of 310002 and 168? 42 Calculate the greatest common factor of 181500 and 220. 220 Calculate the greatest common factor of 16416 and 68096. 608 Calculate the greatest common divisor of 24968 and 24. 8 Calculate the greatest common factor of 1997973 and 36. 9 What is the highest common divisor of 211944 and 24? 24 What is the highest common divisor of 224 and 834512? 112 Calculate the highest common divisor of 286 and 131014. 26 Calculate the greatest common divisor of 243 and 190431. 81 What is the greatest common divisor of 92106 and 95319? 1071 What is the greatest common factor of 212250 and 52638? 1698 Calculate the greatest common divisor of 6828 and 594. 6 What is the greatest common divisor of 2412070 and 50? 10 Calculate the highest common divisor of 4641 and 346749. 663 Calculate the highest common divisor of 44110 and 154. 22 Calculate the highest common divisor of 1167 and 247015. 389 What is the highest common factor of 48 and 54? 6 What is the greatest common factor of 16821504 and 9? 9 Calculate the highest common factor of 5925 and 10170. 15 Calculate the highest common divisor of 26823 and 6. 3 What is the highest common divisor of 12559 and 817? 19 What is the highest common factor of 130911 and 627? 33 Calculate the highest common factor of 1340 and 2980. 20 What is the greatest common factor of 11052 and 234? 18 What is the greatest common divisor of 16 and 17086752? 16 Calculate the greatest common factor of 3726 and 92. 46 What is the greatest common factor of 115 and 3575? 5 What is the highest common divisor of 34787 and 43? 43 Calculate the highest common divisor of 21120 and 36. 12 What is the greatest common divisor of 96544 and 560? 112 Calculate the greatest common divisor of 922896 and 153. 153 Calculate the greatest common divisor of 14377 and 7535. 11 Calculate the highest common divisor of 393204 and 372. 372 Calculate the highest common factor of 146972 and 105. 7 Calculate the highest common divisor of 2646 and 4698. 54 What is the greatest common divisor of 55759 and 1221? 407 Calculate the highest common factor of 1525 and 205265. 305 Calculate the highest common divisor of 107282 and 42028. 1106 Calculate the highest common divisor of 296538 and 66. 66 What is the highest common factor of 71 and 1048102? 71 What is the greatest common divisor of 75896 and 4028? 212 Calculate the highest common divisor of 98784 and 1512. 504 Calculate the highest common divisor of 49 and 92071. 49 Calculate the greatest common divisor of 30422 and 70. 14 What is the greatest common divisor of 417 and 194878? 139 Calculate the highest common factor of 26 and 2088346. 26 What is the greatest common factor of 51804 and 108? 36 What is the greatest common divisor of 4043 and 154256? 311 Calculate the greatest common factor of 238 and 5432. 14 Calculate the highest common factor of 1574340 and 1140. 1140 What is the highest common divisor of 110 and 6736345? 55 Calculate the highest common divisor of 51 and 8853. 3 Calculate the greatest common factor of 413 and 22951. 59 Calculate the greatest common divisor of 324 and 10206. 162 Calculate the highest common factor of 684853 and 16263. 1807 What is the highest common factor of 2066395 and 58? 29 Calculate the highest common factor of 64674 and 54. 18 What is the greatest common factor of 190 and 169290? 190 What is the greatest common divisor of 514130 and 30? 10 Calculate the highest common factor of 138 and 2510358. 138 Calculate the highest common divisor of 504 and 553248. 72 Calculate the highest common factor of 479836 and 32. 4 Calculate the greatest common divisor of 31806 and 24552. 558 Calculate the highest common divisor of 10191 and 3792. 237 What is the greatest common divisor of 6 and 3742? 2 What is the highest common factor of 408 and 22272? 24 What is the greatest common factor of 816 and 6256? 272 Calculate the highest common factor of 14039 and 7645. 139 Calculate the greatest common divisor of 69 and 643747. 23 Calculate the highest common factor of 492 and 634188. 492 What is the greatest common factor of 14644 and 476? 28 What is the greatest common factor of 7256 and 584? 8 Calculate the highest common factor of 228971 and 802. 401 Calculate the highest common divisor of 262908 and 4796. 436 Calculate the greatest common factor of 41 and 64903. 41 What is the highest common factor of 327836 and 164? 164 Calculate the greatest common divisor of 28 and 271348. 28 Calculate the greatest common divisor of 904910 and 340. 170 What is the greatest common factor of 595 and 133? 7 Calculate the greatest common factor of 985 and 13199. 197 Calculate the highest common divisor of 1017204 and 348. 348 What is the highest common divisor of 5350 and 6950? 50 What is the greatest common divisor of 25524 and 60? 12 What is the highest common factor of 12 and 1403316? 12 Calculate the highest common factor of 17006 and 209. 11 What is the highest common factor of 1338100 and 100? 100 Calculate the greatest common factor of 7452 and 1332. 36 What is the highest common factor of 13189 and 654? 109 Calculate the highest common divisor of 18664 and 64. 8 Calculate the highest common divisor of 423 and 6903. 9 What is the greatest common divisor of 286 and 14729? 143 Calculate the greatest common divisor of 2291 and 4379. 29 What is the greatest common divisor of 174699 and 225? 9 What is the highest common divisor of 727070 and 10? 10 What is the greatest common divisor of 882 and 34
{ "pile_set_name": "DM Mathematics" }
1 in 2/13, -4, 3? 2/13 Which is the closest to 4? (a) -0.01 (b) 4/9 (c) 2 (d) 24 c What is the nearest to -3 in -0.5, 0.01, -8, -0.2? -0.5 What is the nearest to -3 in 0.058, -1/9, -4, 3? -4 Which is the closest to 0.2? (a) 4/3 (b) 2/19 (c) 3 b What is the nearest to -0.2 in 4, 5, 2/3, -0.09? -0.09 What is the closest to -8 in 4, 3, 2, 0.9? 0.9 What is the closest to -0.019 in 3, -0.3, 0.1? 0.1 Which is the closest to 2/7? (a) 2/9 (b) 1 (c) 191 a What is the closest to -2/9 in 36, -2, 0.3? 0.3 Which is the closest to -2? (a) 0.2 (b) -4 (c) -5/3 (d) -0.18 c What is the nearest to 0.1 in -14, 0.5, 1, -2? 0.5 Which is the nearest to 1/3? (a) -0.04 (b) 9/4 (c) 3 a What is the nearest to -1 in 3, -3, -14? -3 What is the closest to -0.7 in 1/13, -0.1, -4? -0.1 Which is the closest to 0.2? (a) 1 (b) 4 (c) 0 (d) 2/3 c Which is the nearest to 1? (a) 38 (b) 2 (c) -2/33 (d) 1 d Which is the nearest to 3/7? (a) 1/3 (b) 0.4 (c) 0 (d) -2 b Which is the nearest to 0.02? (a) 0.2 (b) 1/6 (c) -2/9 (d) 37.6 b What is the nearest to 6 in 0.5, 264, 2, 4/3? 2 What is the nearest to -0.1 in 0.4, 2, 14, -0.1? -0.1 What is the closest to 1 in -2, -1/4, 1, 11? 1 What is the closest to 0.1 in 0, 4, 11/8? 0 Which is the nearest to -0.2? (a) 11 (b) 2/9 (c) 0.13 c Which is the closest to -2/7? (a) 3 (b) -3/2 (c) 0 c Which is the closest to -27? (a) -0.04 (b) 1/6 (c) -4 c What is the closest to 0.1 in -3, 0, -8? 0 What is the closest to -2/13 in -0.5, -3, 5, 2/19? 2/19 Which is the closest to 3/8? (a) 3/10 (b) -0.7 (c) 3/4 a Which is the closest to 1? (a) 189 (b) 0.4 (c) 4 (d) -1/4 b Which is the closest to -28/9? (a) 3.4 (b) 1/7 (c) -4 c Which is the nearest to 31? (a) 3 (b) 1/4 (c) -3 a Which is the nearest to -1/4? (a) 0.5 (b) -0.5 (c) -9 (d) 4 b Which is the nearest to 1? (a) 17 (b) -1 (c) -11 b What is the closest to 38 in -1/6, 2, 1/6? 2 Which is the closest to -1/2? (a) 4 (b) -2/9 (c) 28 (d) -4 b Which is the closest to 164? (a) 2 (b) -1 (c) 1/4 a What is the nearest to 1/2 in 1/5, 1/7, -91? 1/5 What is the closest to -1 in 26/5, 3/4, 2/7? 2/7 What is the closest to -2/37 in -2/7, 0.4, 0, -1? 0 Which is the nearest to 11? (a) -5 (b) 5 (c) -1/4 (d) 4 b Which is the nearest to 22? (a) -1 (b) -0.04 (c) -2/7 b What is the nearest to 1/4 in -1/3, -1/2, 2/25, 0.4? 0.4 Which is the nearest to -0.2? (a) 0 (b) -2/9 (c) 1/5 b Which is the closest to 0.3? (a) 0.1 (b) -0.175 (c) -0.4 a What is the nearest to -2/11 in -0.2, 0.5, -0.078? -0.2 What is the nearest to -5 in -3/5, 2/15, 1, 0? -3/5 Which is the closest to -3? (a) -0.01 (b) -4 (c) -0.2 (d) -0.5 b Which is the closest to 0? (a) 2 (b) -0.18 (c) -6 b What is the closest to 1221 in 3, 5, 1, -0.1? 5 What is the nearest to 0.1 in 8, -2, -0.2, -0.3? -0.2 Which is the nearest to -1? (a) 2 (b) -0.2 (c) -28 (d) 0.06 b Which is the closest to 8? (a) 0.4 (b) -3/2 (c) 6 c What is the closest to 1 in -4/9, 6, 4? -4/9 Which is the nearest to 0.1? (a) -0.072 (b) -0.1 (c) 1/4 (d) 0 d Which is the closest to 10/9? (a) -2/3 (b) 1 (c) -15 b What is the nearest to 0.1 in -1, -4, -2/17? -2/17 Which is the closest to 2/7? (a) 53 (b) -2/19 (c) 3 b What is the nearest to 2/7 in 4, 0.4, -2/5, -2? 0.4 Which is the closest to 1? (a) -1/7 (b) 2/3 (c) -0.03 (d) 0.2 b Which is the nearest to 1? (a) -2 (b) 3 (c) -0.4 (d) -7 c What is the closest to -25/6 in 0, 1/8, -22? 0 What is the closest to -0.3 in 3, 0.4, -4, 0? 0 What is the closest to -3/5 in -2/11, 2, 0, -5? -2/11 Which is the nearest to -128/5? (a) -0.1 (b) -3 (c) 2 b What is the closest to 0 in -0.4, 196/15, 1/5, 0.3? 1/5 Which is the nearest to 51? (a) 2 (b) -9 (c) 5 (d) -0.2 c Which is the nearest to 0.1? (a) 2/3 (b) -44 (c) -4 (d) 0.2 d Which is the nearest to 2/7? (a) -1/7 (b) 1/2 (c) -6 (d) -0.9 b Which is the nearest to 2? (a) 4 (b) 2 (c) -2 b What is the closest to -0.1 in 21, -4, 3? 3 What is the closest to 585 in -1, -1/5, 4? 4 Which is the nearest to 0? (a) 0.52 (b) -1 (c) 0.4 (d) -0.5 c Which is the closest to 0.2? (a) 1/4 (b) -4 (c) 4 a What is the nearest to 7 in -4, -21, -2? -2 What is the closest to 2/5 in -0.06, -1/14, -1/6? -0.06 Which is the nearest to 2/3? (a) -1 (b) -106 (c) 1/4 (d) 0.5 d What is the nearest to 155/7 in -5, -1/7, 3/2? 3/2 Which is the nearest to 0.2? (a) -0.4 (b) -0.2 (c) 0.1 c What is the nearest to -0.1 in -0.02, -4, 28? -0.02 What is the nearest to -2/17 in 3, -4, 4? 3 Which is the closest to 2? (a) -0.2 (b) -2/13 (c) -1.1 (d) -1/4 b What is the nearest to 0 in 0, 6.7, -1/5, 0.4? 0 Which is the nearest to 0.1? (a) -5 (b) -1 (c) 2/3 (d) 34.5 c What is the nearest to -2/5 in 3.7, 1, -1/2? -1/2 What is the closest to -0.1 in 2/17, -7/10, 1? 2/17 What is the closest to -1 in -1, -2, -0.2, 1? -1 Which is the nearest to 0.06? (a) -12 (b) 1/3 (c) -2/7 (d) -0.2 d What is the nearest to 2/3 in -1/2, 4.8, 0? 0 What is the nearest to -1/3 in -1/2, 1, 0.02, 2? -1/2 Which is the closest to 1/3? (a) 0.17 (b) 5 (c) -3/7 a Which is the nearest to 5? (a) -2/13 (b) -2/9 (c) 1/8 (d) -1 c What is the nearest to 0.3 in 28, 0, -5? 0 What is the closest to -1 in 4, 0.64, 3/2? 0.64 Which is the nearest to 1? (a) -5 (b) -15 (c) 1 (d) -0.4 c What is the nearest to -1 in 5, 4/3, -3, -0.22? -0.22 Which is the closest to 0? (a) 0 (b) -0.9 (c) -3/5 (d) -0.3 a Which is the closest to 0? (a) -1/40 (b) 2/9 (c) 11 (d) 1 a Which is the closest to 0? (a) 6/7 (b) -3 (c) -4 (d) 1/9 d What is the closest to -12/103 in -0.1, -5, -1? -0.1 Which is the closest to -1? (a) -1/3 (b) 3 (c) 2.3 (d) -0.2 a What is the closest to -3/2 in 1, -2, -0.09, 51? -2 What is the nearest to -0.1 in -7, -0.2, 1, 0.6? -0.2 Which is the closest to -0.3? (a) 1 (b) 2 (c) -1 c Which is the nearest to -2/5? (a) -2/41 (b) -2/11 (c) 5 (d) 1/5 b Which is the nearest to -0.286? (a) -5 (b) 2 (c) -0.5 (d) 3/5 c What is the closest to 39 in 2/9, -1.3, -1/4? 2/9 What is the closest to 49 in 2/9, 1, 0.03? 1 What is the closest to 25 in -24, 0.4, 0.1? 0.4 What is the closest to 0 in 0.1, 31, -2/3? 0.1 What is the nearest to 0 in -109, -3, 0.4? 0.4 What is the nearest to -77 in 0.5, 2.9, -4, 1? -4 What is the closest to -1 in -8/3, -1.2, 2? -1.2 Which is the nearest to 0.1? (a) 3 (b) -1 (c) 1/4 (d) 2/7 c Which is the closest to 4? (a) -4 (b) -4/3 (c) -7/8 (d) 0.5 d What is the nearest to 1 in 0.1, 0.14, -0.5? 0.14 Which is the closest to 2/3? (a) 285 (b) 3/8 (c) 1 b What is the nearest to 0 in -2/9, -3, -2, -0.2? -0.2 What is the closest to 0.3 in 3/5, -2, -3, -2/7? 3/5 What is the closest to 12 in -2/7, 3, -4, -5? 3 Which is the closest to -0.2? (a) -5 (b) -1 (c) -3 (d) 2 b What is the closest to 1/5 in 1/36, 0, -4? 1/36 What is the closest to -0.3 in 0.2, -439, -0.03? -0.03 What is the nearest to -0.16 in 2, -0.04, 1/5? -0.04 What is the nearest to -1/6 in -0.5, -3/4, 5/6? -0.5 Which is the closest to 2/3? (a) -4 (b) 0.3 (c) 3/2 b What is the closest to -2/21 in 2, 2/11, -2/21? -2/21 Which is the nearest to -9/14? (a) -0.1 (b) 0.5 (c) 24 a What is the nearest to -0.1 in 0.1, -4/7, 47/10? 0.1 Which is the nearest to -0.06? (a) -57 (b) 0.3 (c) -3 (d) 0 d What is the closest to 0 in 4/9, -0.234, 2/9, -1/2? 2/9 Which is the closest to -0.1? (a) 0.7 (b) 2/11 (c) 12 b Which is the nearest to 2/9? (a) -3 (b) 2/3 (c) -5 b Which is the nearest to 1? (a) 0.3 (b) 31 (c) 2/5 c Which is the closest to 0.1? (a) -4 (b) -0.2 (c) 0.06 (d) 2 c What is the closest to 3 in -0.4, 2, 63? 2 Which is the closest to -2.3? (a) 2 (b) -5 (c) 0.8 (d) -1 d What is the nearest to -0.1 in 1, 6, -1/78, -0.5? -1/78 Which is the nearest to 77/3? (a) 3 (b) -1.1 (c) 0.4 (d) -0.1 a What is the closest to -10 in 0.1, -13, 3, 0? -13 What is the nearest to 0 in 1/4, 4, 0.03, -1? 0.03 Which is the closest to -1? (a) -0.3 (b) 0.4 (c) -4 (d) -333 a What is the closest to 2 in -2/9, 3, -0.4, -13? 3 Which is the nearest to -2? (a) -1 (b) 0.2 (c) -53 a What is the nearest to 1/2 in -2/5, -4/5, 0? 0 Which is the nearest to -0.1? (a) -3/8 (b) -0.5 (c) 3/4 (d) -6 a Which is the closest to 0.9? (a) -4 (b) 0.3 (c) -6 b W
{ "pile_set_name": "DM Mathematics" }
.14248 Multiply -2 and 0.81795. -1.6359 What is -1396 times -1.984? 2769.664 Work out 2151 * -2.3. -4947.3 What is the product of 179810 and 0.02? 3596.2 -6.18 * 2325 -14368.5 5 times -1.4276 -7.138 What is 29 times 1.075? 31.175 Work out -2 * 391317. -782634 187919 * 5 939595 Calculate 0.1*38990. 3899 -0.4*7.741 -3.0964 What is the product of -1 and -191567? 191567 What is 31.202 times -81? -2527.362 Product of 5.4 and -0.1878. -1.01412 What is 0.23341 times 0? 0 1.8 times -298154 -536677.2 Product of 21.051 and -0.3. -6.3153 -3777.3*0.057 -215.3061 What is -0.046052 times -2? 0.092104 What is the product of 4 and -46.224? -184.896 Work out -0.0314 * 4087. -128.3318 -0.1 times -0.283 0.0283 Work out -81.064 * 3. -243.192 0.876159 * 0.5 0.4380795 What is the product of -116.87 and -11? 1285.57 Product of -590 and -144. 84960 Product of 1690820 and 0.3. 507246 Calculate -2353656*0.5. -1176828 Calculate 0.439*108. 47.412 What is 922866 times -0.02? -18457.32 69.97*3.3 230.901 What is 1.43957 times 2? 2.87914 Product of -0.5 and 8867.6. -4433.8 40822.6 * 0.4 16329.04 Multiply -0.4 and 62351. -24940.4 Calculate -5*-22.6424. 113.212 Multiply 279 and -1544. -430776 Product of 14.071 and -21. -295.491 Product of 291 and -0.48. -139.68 Calculate -217926*0.1. -21792.6 Work out -6752 * -17. 114784 What is the product of 88 and 231.5? 20372 Multiply -2076 and 33. -68508 -41*-23.22 952.02 Work out 55050 * 5. 275250 -6421 times -205 1316305 Product of -370.436 and -0.3. 111.1308 -6817 * -0.007 47.719 Work out 0.91 * -0.642. -0.58422 Product of -0.3 and 719.82. -215.946 -1.08 times 342 -369.36 What is -2.3 times 1105? -2541.5 Multiply -29.2 and 2760.2. -80597.84 Calculate 2*1.12794. 2.25588 -1054 times -617 650318 33.053 * -3.7 -122.2961 Calculate -3918*71.4. -279745.2 Product of -324 and -0.017. 5.508 What is the product of -75.7 and 92? -6964.4 What is -4.9 times 18428? -90297.2 14.4*-131 -1886.4 What is the product of 22.8 and 10.7? 243.96 Multiply 0.38 and 1.5269. 0.580222 What is the product of 79 and 2825? 223175 Multiply -394730 and -0.1. 39473 0.20849 * -4 -0.83396 Product of -0.0301 and 0.531. -0.0159831 Multiply 30 and -3830. -114900 Product of -372 and -355. 132060 Product of 1167 and 0. 0 -18 * 19859 -357462 Multiply -9.68 and 1.3. -12.584 1 * -140.56 -140.56 Multiply -3105 and -1348. 4185540 Calculate 0.038*423. 16.074 73 * -3.44 -251.12 Work out 35.55 * 0.5. 17.775 Product of -4095 and -0.2. 819 Multiply 7994569 and -0.4. -3197827.6 Work out -33.6815 * 0.07. -2.357705 What is the product of 65.59 and -571? -37451.89 Work out -786956 * -0.07. 55086.92 0.05 times 6148 307.4 What is 6 times -0.5354? -3.2124 Work out 0.0863 * 1.727. 0.1490401 Work out 184 * 0.0525. 9.66 Product of -23 and -215.6. 4958.8 Multiply 649.1 and -0.146. -94.7686 What is -207 times 45? -9315 0 * -5770 0 Multiply 120 and 34.2. 4104 Multiply 0.3 and -10360. -3108 0.03 times 13852.3 415.569 -2 * 8432 -16864 Product of 3 and -502219. -1506657 1880*-6 -11280 Product of 49 and 0.938. 45.962 -146.7 times 54 -7921.8 What is 0.6 times -432511? -259506.6 Calculate 0.052141*-0.4. -0.0208564 0.1*-46946 -4694.6 Multiply -5 and 14.7672. -73.836 Product of -1216 and -88. 107008 Multiply 0.1 and -6320. -632 -0.1*-338197 33819.7 What is -4 times 2.8559? -11.4236 126*132 16632 What is 10 times 99995? 999950 Multiply -38631 and 11. -424941 -0.032 * -11.5 0.368 Product of 5516 and 0. 0 What is the product of -0.1322 and -9? 1.1898 13.74116 times -3 -41.22348 What is the product of -129809 and 7? -908663 What is 13119 times -415? -5444385 Multiply 5 and -339132. -1695660 What is -0.08 times 3862? -308.96 Work out 1 * 7085. 7085 -55 * -17.33 953.15 Calculate -65456*0.13. -8509.28 Calculate -10466*26. -272116 96*-20488 -1966848 What is 0.026671 times 0.5? 0.0133355 What is 1.17 times -1.434? -1.67778 -56*-27.2 1523.2 Product of 0.5 and 12826.73. 6413.365 Calculate -14*-816. 11424 911 * 2099 1912189 What is the product of -1976886 and 0.1? -197688.6 What is the product of -0.1947 and 2.13? -0.414711 Work out -3 * 52072.2. -156216.6 Product of 3 and 16.1606. 48.4818 Product of -28642 and 0.09. -2577.78 0.82 times -1779 -1458.78 Work out 3.570341 * 3. 10.711023 0.048 times 9.26 0.44448 Product of 1.02 and 0.2357. 0.240414 33513 * 10 335130 Product of -242.9 and 981. -238284.9 Product of 0.5772 and -0.08. -0.046176 What is 14 times -0.01151? -0.16114 What is the product of 537024 and -0.2? -107404.8 What is the product of -1 and 155712? -155712 What is -11.9891 times 0? 0 7533.39*0.1 753.339 -10206*58 -591948 What is the product of -4.9587 and 20? -99.174 -3.257039*-0.2 0.6514078 What is the product of 0.2 and 1.1277? 0.22554 What is -26.52 times -29? 769.08 65 times 0.0135 0.8775 Calculate -0.1*157775. -15777.5 What is the product of 24 and 2.329? 55.896 Multiply -20190 and -0.5. 10095 Product of 0.45 and -161.885. -72.84825 -127586 * -3 382758 What is the product of -0.5 and 4.634? -2.317 What is the product of 26006 and -0.3? -7801.8 What is -214252 times 0.05? -10712.6 What is the product of -0.513 and 40? -20.52 Product of -81903 and -1.1. 90093.3 Work out -220008 * -0.5. 110004 4.916 times -7 -34.412 What is the product of 1.978 and 2? 3.956 Work out 0.26 * -331185. -86108.1 Calculate -304*-2.729. 829.616 652.08*5 3260.4 -0.4 times -0.53146 0.212584 What is 2695332 times 0.1? 269533.2 What is -0.5 times -30749? 15374.5 115.3419 * -4 -461.3676 Calculate 1.914166*0. 0 7.9*208 1643.2 What is the product of 51 and 6228? 317628 394.988 * -0.1 -39.4988 -0.014 times -0.05288 0.00074032 -562*-76 42712 Product of -2867605 and -0.3. 860281.5 What is the product of 0.04 and -0.04881? -0.0019524 0.1*-725 -72.5 What is the product of -0.040452 and -0.05? 0.0020226 18301 times -0.5 -9150.5 Calculate 0.07804*-10. -0.7804 Calculate 0.055*-1169. -64.295 Multiply -0.508871 and -6. 3.053226 -10544 * 1.53 -16132.32 -30258.1 * 2 -60516.2 Calculate -0.1*-5.2133. 0.52133 111.78*-6 -670.68 Product of -31 and -0.223. 6.913 6 times 184.98 1109.88 Work out -130 * -53. 6890 What is the product of -0.09797 and -192? 18.81024 Multiply -62 and -66.052. 4095.224 5 times -107855 -539275 What is 0.5 times 0.0273? 0.01365 -54.6 times 294 -16052.4 -121.49 times 21 -2551.29 Multiply 0.389 and 13204. 5136.356 Multiply 9148 and -2.9. -26529.2 -6 * 245.81 -1474.86 Multiply -4.5 and -28.59. 128.655 What is -1258 times 0.2? -251.6 What is the product of 20 and -18171? -363420 What is the product of -5 and -1297? 6485 -111183 * 0.2 -22236.6 Work out 165541 * 5. 827705 1617 * 3.87 6257.79 Work out 32761 * -10. -327610 What is -4 times 1767.6? -7070.4 Work out 4.619 * 27. 124.713 17129 * 2.4 41109.6 Product of -2652 and 17. -45084 Calculate -101.5*0. 0 -0.2 times -26864 5372.8 What is -12121 times -254? 3078734 Product of 461 and 0.4. 184.4 What is 4 times -4.323? -17.292 -4*1913 -7652 0.27 times 0.035 0.00945 What is the product of 0.7 and -0.5285? -0.36995 What is -44252 times 4? -177008 What is -50458 times -0.2? 10091.6 Calculate -2650394*-0.1. 265039.4 Product of 2 and 474. 948 -19304 * -2.4 46329.6 8 * -0.2414 -1.9312 23692*0.023 544.916 Multiply 903 and 411. 371133 Product of 1.7 and 159.3. 270.81 Product of 0.05 and -1.0766. -0.05383 Product of 3162 and -1.1. -3478.2 -521*4.757 -2478.397 What is the product of -28 and 252.41? -7067.48 -5422561 times -0.1 542256.1 267196 times 1.2 320635.2 What is 37474 times 0.5? 18737 Product of -7.2197 and 1.1. -7.94167 397*-443.3 -175990.1 -633*0.579 -366.507 Work out 25461 * 0.04. 1018.44 Work out -8641 * -0.16. 1382.56 5 times 0.5535 2.7675 Multiply 0.5 and 60187. 30093.5 69 times -73 -5037 0.06 times 0.8814 0.052884 -4 times 32292 -129168 What is -1.24 times 1.61? -1.9964 6941 * 19 131879 0.3*-2.936 -0.8808 What is the product of 0.4 and 0.29951? 0.119804 Product of -0.04 and 0.02452. -0.0009808 Calculate 0.2132*52. 11.0864 Multiply 11 and 663. 7293 What is the product of -55 and -473? 26015 Product of 0.09 and -155999. -14039.91 Work out -8401 * 0.4. -3360.4 Work out 368010 * -5. -1840050 Calculate -9645*-148. 1427460 Product of 23.42 and -11.88. -278.2296 -0.09*0.11646 -0.0104814 12363.19*-3 -37089.57 What is 1 times -514296? -514296 What is the product of 0.3 and -0.0094133? -0.002
{ "pile_set_name": "DM Mathematics" }
- 8*x**3 - 13*x**2 + 3*x. Let i(k) = -5*k**4 + 7*k**3 + 12*k**2 - 2*k. Let p(t) = 2*g(t) + 3*i(t). Factor p(n). -5*n**2*(n - 2)*(n + 1) Let f(t) = -1 - t**2 + 0*t + 8*t - 4 + 0. Let l be f(7). Factor 0 + 1/3*r**l - 2/3*r. r*(r - 2)/3 Let s(q) = -q**3 + 17*q**2 - 16*q. Let f = 39 + -23. Let p be s(f). Factor 2/9*z + 0*z**2 + p - 2/9*z**3. -2*z*(z - 1)*(z + 1)/9 Let x(m) = -3*m**4 + 6*m**3 + 5*m**2 - 8*m - 16. Let s(t) = 12*t**4 - 24*t**3 - 21*t**2 + 33*t + 63. Let u(o) = -4*s(o) - 15*x(o). Factor u(r). -3*(r - 2)**2*(r + 1)**2 Suppose -z**2 - 8/7 - 1/7*z**3 - 2*z = 0. Calculate z. -4, -2, -1 Let l be 11 + -15 + 3/(9/16). What is q in 2*q + 2/3*q**2 + l = 0? -2, -1 Factor 2*x**2 - 9*x**2 + 4*x**2 - 2*x**2 + 10*x - 5*x**3. -5*x*(x - 1)*(x + 2) Let i(v) be the third derivative of -v**2 + 0*v**3 + 0*v**5 + 0*v + 1/112*v**8 + 0 + 1/8*v**4 - 1/20*v**6 + 0*v**7. Factor i(x). 3*x*(x - 1)**2*(x + 1)**2 Let d(a) = 3*a**3 + 12*a**2 + 12*a - 2. Let p(y) = 12*y**3 + 48*y**2 + 48*y - 9. Let i(k) = -9*d(k) + 2*p(k). Factor i(t). -3*t*(t + 2)**2 Suppose 14 = m - 0*m - 5*b, 8 = 3*m + 2*b. Let a(i) = -m*i**3 + 0*i + 0*i - 2*i**4. Let o(t) = -4*t**4 - 9*t**3. Let c(d) = -13*a(d) + 6*o(d). Factor c(g). 2*g**3*(g - 1) Suppose -9*r - 5*r - 2*r = 0. Let c(m) be the second derivative of m + r + 2/27*m**4 - 1/27*m**3 + 4/135*m**6 - 1/15*m**5 + 0*m**2 - 1/189*m**7. Factor c(y). -2*y*(y - 1)**4/9 Suppose 4*w - 12 - 13 = -5*g, 2*w = -3*g + 15. Let u(j) be the second derivative of 0 - 2*j - 1/9*j**3 + 1/30*j**g + 0*j**2 + 0*j**4. Solve u(d) = 0 for d. -1, 0, 1 Let l(h) = h**2 + h + 2. Let f be l(0). Find b such that -4*b**f + b**4 + b**3 + 4*b**2 = 0. -1, 0 Let 6*m + 5*m**2 - 12*m**2 + 3*m**2 + m**2 - 3 = 0. Calculate m. 1 Suppose -m - 4*m = -4*b + 14, -m - 10 = b. Let i(h) = h**2 + 5*h - 6. Let n be i(m). Find q such that -4/9 + n*q**2 - 2/9*q**3 + 2/3*q = 0. -2, 1 Let n = 151 - 146. Let s(g) be the second derivative of 1/2*g**3 - 3/20*g**n + 2*g + 0*g**4 + 0*g**2 + 0. Suppose s(l) = 0. Calculate l. -1, 0, 1 Let i(c) = -2*c**5 - 7*c**4 - 2*c**3 - 3. Let o(m) = -16 - 36*m**4 - 3*m**3 - 7*m**5 - 3*m**5 - 7*m**3. Let g(j) = -16*i(j) + 3*o(j). Factor g(a). 2*a**3*(a + 1)**2 Let l = 364 - 2544/7. Factor 6/7*a - l - 2/7*a**2. -2*(a - 2)*(a - 1)/7 Let o be 0 - 11/(-5) - 2. Let y(a) be the first derivative of 1 + o*a**2 - 1/10*a**4 + 0*a + 0*a**3. Factor y(n). -2*n*(n - 1)*(n + 1)/5 Factor 1/3*u**2 + 10*u + 75. (u + 15)**2/3 Factor -6*m**4 - m**4 + 18*m**5 - 2*m**2 - 2*m**4 + 3*m**4 - 10*m**3. 2*m**2*(m - 1)*(3*m + 1)**2 Suppose 2*p = -15 + 5. Let b be (2/(-18))/(p/30). Factor 0 + 2/3*v**2 - b*v. 2*v*(v - 1)/3 Let i be 2/3 - (-448)/(-1176). Factor -4/7 - i*j**2 + 6/7*j. -2*(j - 2)*(j - 1)/7 Let m(t) = -t + 6. Let d be m(0). Suppose -8*k**2 + 10*k + d*k**3 - 2*k**3 - 2*k**3 - 4 = 0. Calculate k. 1, 2 Let b(g) = g**2 + g - 1. Let a(c) = c**2 + 4*c - 6. Let l(t) = 1. Let u(f) = -a(f) - 3*l(f). Let d(r) = -2*b(r) - u(r). Factor d(z). -(z - 1)**2 Let k = 63 + -249/4. Suppose 0*j - j**4 + k*j**3 + 0 + 1/4*j**2 = 0. What is j? -1/4, 0, 1 Let v be ((480/126)/10)/((-2)/(-3)). Solve -v + 2/7*s**3 - 6/7*s**2 - 10/7*s + 2/7*s**4 = 0. -1, 2 Let s(h) be the third derivative of h**6/780 - h**5/390 - 3*h**2. Determine w, given that s(w) = 0. 0, 1 Suppose -9*c + 22 = -7*c. Suppose z - a - 9 = 0, 0 = z + 4*a + c. Let 2/3*k**3 + 0 - 8/9*k**2 - 8/9*k + 8/9*k**4 + 2/9*k**z = 0. Calculate k. -2, -1, 0, 1 Let p(y) be the first derivative of y**3/27 - 2*y**2/9 + 4*y/9 + 20. Factor p(v). (v - 2)**2/9 Let v(g) be the second derivative of -g**6/225 - g**5/15 - 5*g**4/18 + 25*g. What is n in v(n) = 0? -5, 0 Let w(a) be the third derivative of 0*a - 1/54*a**4 + 0 - 5*a**2 + 1/27*a**3 + 1/270*a**5. Factor w(l). 2*(l - 1)**2/9 Let g(y) be the second derivative of -y**7/133 + 11*y**6/285 + 3*y**5/190 - 13*y**4/38 + 40*y**3/57 - 12*y**2/19 - 10*y. Let g(c) = 0. Calculate c. -2, 2/3, 1, 3 Factor -3*w**2 - 2*w**3 + 3*w**5 + 3*w**5 + 4*w**3 - 10*w**4 + 5*w**2. 2*w**2*(w - 1)**2*(3*w + 1) Let o = -27 - -31. Let q(j) be the second derivative of 0 - 1/24*j**o + 0*j**2 + 2*j + 0*j**3. What is p in q(p) = 0? 0 Suppose -4*v + 2*x = -0*x - 24, 4*x = 5*v - 36. Find a, given that 9*a**v - a**3 - 6*a**2 - 5*a**3 - 4*a**5 + 7*a**2 = 0. 0, 1/4, 1 Suppose -5*s + 4*q - 2*q - 112 = 0, 39 = -2*s - 5*q. Let h(a) = a**2. Let k(t) = 12*t**2 - 3*t. Let d(g) = s*h(g) + 2*k(g). Factor d(l). 2*l*(l - 3) Let t be 2 - -2*(-2 + (-44)/(-32)). Factor t*w**2 - 1/4*w**4 - 1 + 1/2*w**3 - w. -(w - 2)**2*(w + 1)**2/4 Solve -13*f + 6*f**4 + 93*f + 50*f**2 + 70*f**3 + 2*f**4 - 32 + 124*f**2 = 0. -4, -1, 1/4 Let x(f) be the third derivative of 1/12*f**4 + 0*f - 1/15*f**5 + 1/60*f**6 - 3*f**2 + 0 + 0*f**3. Factor x(m). 2*m*(m - 1)**2 Let q = 32 - 158/5. Suppose -3*k + 4*n + 12 = 2*n, 5 = -5*k - 5*n. Find o, given that q*o**k + 2/5*o + 0 = 0. -1, 0 Let p = 23 + -20. Factor -4*d**p - 8*d**2 + 10*d**2 + 2*d**3 - 2*d**4 + 4*d - 2*d**3. -2*d*(d - 1)*(d + 1)*(d + 2) Let d(g) be the second derivative of -27*g**5/40 + 3*g**4/4 - g**3/4 + 11*g. Suppose d(w) = 0. Calculate w. 0, 1/3 Let -7*c - 17*c + 9*c + 5*c**2 = 0. What is c? 0, 3 Suppose 3*q + 3*u + 4 = 1, -2*q + 3*u = -18. Factor -5*a + 6*a**3 - a - q*a**5 + 3*a. -3*a*(a - 1)**2*(a + 1)**2 Let a be -5 + 6 - (6 - 7). Factor 1/2*s**3 - 1/4*s**a + 0*s - 1/4*s**4 + 0. -s**2*(s - 1)**2/4 Let d(a) be the third derivative of a**6/780 + a**5/130 + a**4/52 + a**3/39 + 7*a**2. Factor d(z). 2*(z + 1)**3/13 Let v = -1 + 16. Suppose 0*r + 5*r - v = 0. Factor -3*m**r - 4*m**2 - 6*m**3 + 3*m**3. -2*m**2*(3*m + 2) Let i = -167/15 - -59/5. Find c, given that -1/3*c**2 + i*c + 0 - 1/3*c**3 = 0. -2, 0, 1 Let f(l) = 15*l**3 + 37*l**2 + 8*l - 52. Let v(u) = -10*u**3 - 25*u**2 - 5*u + 35. Let w(a) = 5*f(a) + 8*v(a). Factor w(y). -5*(y - 1)*(y + 2)**2 Let c = -583/510 - -20/17. Let j(g) be the second derivative of -g - c*g**6 - 1/2*g**4 - 1/2*g**2 + 2/3*g**3 + 0 + 1/5*g**5. Factor j(f). -(f - 1)**4 Let d = 77/6 + -38/3. Let o(a) be the second derivative of -1/10*a**5 + 0*a**2 - 1/15*a**6 - 2*a + 0*a**3 + 1/21*a**7 + 0 + d*a**4. Factor o(g). 2*g**2*(g - 1)**2*(g + 1) Let k(c) be the first derivative of c**7/147 - c**6/35 + 3*c**5/70 - c**4/42 - 2*c + 2. Let h(v) be the first derivative of k(v). Solve h(q) = 0 for q. 0, 1 Let w(z) be the third derivative of 0*z + 1/20*z**5 + 1/112*z**8 + 0*z**3 + 3/40*z**6 + z**2 + 0*z**4 + 0 + 3/70*z**7. Factor w(o). 3*o**2*(o + 1)**3 Let c(i) = -3*i - 15. Let m be c(-6). What is g in 7*g**5 - 28*g**2 + 0*g**3 + 6*g**m + 4*g**4 - 2*g - 6*g + 19*g**4 = 0? -2, -2/7, 0, 1 Suppose -21 = -u - 6*u. Suppose u = -2*n + 11. Factor 1/4*s**3 + 0 + 0*s - 1/4*s**5 - 1/4*s**n + 1/4*s**2. -s**2*(s - 1)*(s + 1)**2/4 Determine w, given that 19*w**2 + 20 + 0*w - 27*w - 18 + 6*w = 0. 2/19, 1 Find p, given that -p**4 + p**4 - 5*p**5 + 10*p**2 - 15*p - 13 + 3 + 20*p**3 = 0. -1, 1, 2 Let x = 12 + -8. Let h(f) = f. Let k be h(3). Determine v, given that -k*v**3 - x*v**3 - 5*v**2 - 2*v + 4*v = 0. -1, 0, 2/7 Let p(t) = -t**2 + 4. Let f be p(0). Let i(h) be the second derivative of 0*h**3 + 1/105*h**6 + 1/42*h**f + 2*h + 0 + 1/35*h**5 + 0*h**2. Solve i(a) = 0. -1, 0 Factor -2*z**2 + 11*z**2 + 9*z + 6*z**2 - 6*z. 3*z*(5*z + 1) Let y(i) be the third derivative of -i**7/11340 + i**5/540 + i**4/12 - i**2. Let l(h) be the second derivative of y(h). Suppose l(s) = 0. What is s? -1, 1 Let k(t) be the third derivative of t**8/480 + t**7/105 + t**6/120 - t**5/30 + t**4/12 - t**2. Let z(n) be the second derivative of k(n). Factor z(c). 2*(c + 1)**2*(7*c - 2) Determine a so that 0*a + 0 - 2/3*a**2 = 0. 0 Factor 0 + 0*t**4 + 1/3*t + 1/3*t**5 + 0*t**2 - 2/3*t**3. t*(t - 1)**2*(t + 1)**2/3 Let m = -27 + 41. Let s be (20/(-70))/((-6)/m). Let 2/3*j**2 + s*j + 0 = 0. What is j? -1, 0 Let k be (-6)/(-15) + 27/(-5). Let j = 7 + k. Solve 0*o + 2/5*o**j + 0 - 2/5*o**3 = 0 for o. 0, 1 Suppose 9 = -2*c + 5*c. Let b(g) be the third derivative of 1/40*g**6 + 1/80*g**5 + 0 - 1/48*g**4 - g**2 + 1/120*g**7 + 0*g + 0*g**c. Factor b(h). h*(h + 1)**2*(7*h - 2)/4 Suppose 3*x + 4*o = 6*o - 4, -4*x + o = -3. Let p(c) be the third derivative of 0 + 0*c**4 - x*c**2 + 0*c - 1/60*c**6 + 1/30*c**5 + 0*c**3. Factor p(a). -2*a**2*(a - 1) Let k be (-26)/(-3
{ "pile_set_name": "DM Mathematics" }
+ 8*a**2 - 3*a**2)*(a + 2*a - 5*a). 15*a**5 Expand (7967 - 7967 - 128*b**3)*(-4*b + 2*b + 0*b). 256*b**4 Expand (2 - 2*n - 2 + n - 1 + 1 + (0*n - 2*n + 6*n)*(3 - 3 + 4))*(-1 - 2*n + 1). -30*n**2 Expand ((-y**4 - 5*y**2 + 5*y**2)*(-1 - 3 + 5) + 2*y**4 - y + y + (2*y**2 - 2 + 2)*(-3*y**2 + 5*y**2 - y**2))*(-18*y + 21*y - 76*y) + 4*y**5 - 3*y**5 + y**5. -217*y**5 Expand (-190*b + 190*b + 19*b**2)*(4*b**2 + b - 4*b**2 + b**2). 19*b**4 + 19*b**3 Expand a - 3*a + 3*a + 0*a + 2*a + 0*a - 4*a + a + 5*a + (5*a - 4*a - 3*a)*(3 + 0 - 4) + 0*a - a + 2*a - 3*a + 6*a - a + 3*a - a - 4*a - a - 48251 + 49042 - a. 6*a + 791 Expand -8317*j + 116*j**4 + 8317*j + 4*j**4 - 5*j**4 - j**4 + (2*j**2 + 2*j**3 - 2*j**2)*(j - 4*j + 2*j) - 2*j**2 + 2*j**2 - j**4 - 2*j**4 + 4*j**2 - 4*j**2. 109*j**4 Expand (-3 + 5 - 3)*(8*n + 1 + n - 14*n) + n + 0*n - 3*n. 3*n - 1 Expand (-1 - 1 + 3)*(2*g - 2*g - g + 3)*(135 + 141 - 208). -68*g + 204 Expand u**4 - 15*u**5 - u**4 + (0 + 1 - 3)*(-u**3 + u**3 + u**5) - 2*u**5 - 2*u**2 + 2*u**2 + (-2 - u**2 + 2)*(6*u**3 - 6*u**3 + 11*u**3). -30*u**5 Expand (-11*x - 42*x + x)*(-2 + 10 - 4)*(2 - x - 2). 208*x**2 Expand (-4*h + 4*h + 2*h)*(22 - 22 + h + (0 + 0 - h)*(10 - 4 + 2)). -14*h**2 Expand -3*h**4 - 64*h**4 + 125*h**4 + (-4 + 5 - 3)*(13*h**3 + 2*h - 3*h**4 - 13*h**3). 64*h**4 - 4*h Expand (-y + y + 2*y)*((0 + 3 - 1)*(2*y + y - 4*y) + 18*y - 50*y - 15*y). -98*y**2 Expand (-3 + 3 - 4)*(2*h - 5*h - 2*h)*(-163 - 7*h + 163). -140*h**2 Expand (-5 + 1 + 3)*(-s + s + 2*s)*(-312*s**4 - 226*s**4 + 283*s**4)*(-6 - 4 + 6). -2040*s**5 Expand 4*f + 3*f - 4*f + (1 + 0 - 3)*(3*f - f + 0*f) - 6 - 3*f + 6. -4*f Expand (r + r**2 - r)*(3 - r - 3) + 4*r**3 + 5*r**3 + 12*r**3 + (3*r - 4*r + 3*r)*(-r**2 - r**2 - r**2). 14*r**3 Expand (0*n + 0*n - 2*n)*(-3 - 3 + 5) + 2*n - n + n + 0 - 2*n + 0 + n - 2 + 2 - 72 - 11*n + 77 - 27*n. -35*n + 5 Expand (2*l**3 + 5*l**3 - 2*l**3)*(10 - 10 - 10*l**2) + (3*l**4 - l**4 + 0*l**4)*(-6*l - l + 4*l). -56*l**5 Expand (23 + 3*v + 6 - 22)*(-v**2 + 3*v**2 + 0*v**2). 6*v**3 + 14*v**2 Expand (2 + 0 + 1)*(4 - b - 4 + 2*b + b - 5*b + (0*b - 2*b + b)*(0 + 2 - 1))*(-2*b + 2*b - 3*b**4). 36*b**5 Expand (-2*y + 2*y**3 + 2*y)*(42*y - 104*y - 140*y). -404*y**4 Expand (-61 + 49 - 62 + (-1 + 2 + 0)*(5 - 1 - 3) - 4 + 2 + 1)*(v**3 + 0*v**3 - 2*v**3). 74*v**3 Expand (2879 - 51*b - 2879)*(2*b**2 - 1 + 1). -102*b**3 Expand ((-2 + 4 - 3)*(-8 - 1 + 3)*(3 + 1 - 2) + (5 + 0 - 4)*(4 - 2 + 0) + 1 - 34 + 101)*(2 - 2 + a**2). 82*a**2 Expand (3*r**3 - 3*r + 3*r)*(r + 2 - 2) + 4*r - 4*r - r**4 + (-3*r**4 + r**4 - 2*r**4)*(-4 + 3 + 3). -6*r**4 Expand (4*n - 5*n + 3*n)*(5 - 1 + 2) - n + 3*n - 4*n + (0 - 4 + 2)*(-2*n + 5*n - 2*n) + 2*n - 4*n + 0*n - 4*n + 15*n - 9*n + 57. 8*n + 57 Expand (0 + 1 + 0)*(-16*h - 50 + 50)*(3 + 0 - 1) + 2 - 2 + 2*h + (2 - 1 - 4)*(3*h - 4*h + 0*h) - h - h + 3*h - 3*h + 5*h + 0*h. -24*h Expand (-2*u + 7*u - 2*u - 3)*(50 - 21 - 24 - u). -3*u**2 + 18*u - 15 Expand (-1 + 6 - 4)*(13*w**5 + 32 - 32). 13*w**5 Expand (4 + 7 + 19)*((-1 - 3 + 2)*(0*n - 5*n + 2*n) + 3*n + 3*n - 7*n). 150*n Expand ((3 + 0 - 5)*(3*k + 2*k - 4*k) - 2*k - 1 + 1 - 4*k + 4*k + 9*k)*((k + k - k)*(3 + 1 - 2) + 4*k + 6*k - 4*k). 40*k**2 Expand (m - 2*m - m)*(-6 - 2 + 1) + 32 - 32 - 2*m. 12*m Expand ((-2 + 1 + 0)*(2*a + 6 - 6) + 8 - 1 + a + 0)*(0 - 2 + 3)*(-49 - a + 49). a**2 - 7*a Expand (2*m + 2*m + 5*m)*((4 - 1 - 2)*(-6 + 2 + 3) + 1 - 3 + 5) + 3 - 7 - 8 + m. 19*m - 12 Expand 0*d**4 - 2*d**4 + 4*d**4 + (-4*d**2 + 2*d**2 + d**2)*(-2*d**2 + 0 + 0) - d**4 + 3*d**4 - d**4 + 0 + 0 + 2*d**4 - 7*d**4 + 0*d**4 + 5*d**4 + 95*d**2. 5*d**4 + 95*d**2 Expand -6*m + 2*m + m - m + 5*m - 2*m + (m - 4*m + 5*m)*(19 + 20 - 11). 55*m Expand -5*o + 0*o + 4*o + 1 - 1 - o + (-4 + 1 + 4)*(3*o + o - 2*o) - 143*o + 203*o + 66*o. 126*o Expand (17 - 4 + 7 + (-3 + 3 + 3)*(5 - 3 - 1))*(-4*j - 1 + 1). -92*j Expand (5*m**4 - 4*m**4 + m**4)*(5 - 4 - 3)*(99 + 8 - 5). -408*m**4 Expand (3285*f**3 - 3285*f**3 + 59*f**4)*(-3*f + 3*f + 5*f + (-1 + 1 - 2*f)*(4 - 1 - 4)). 413*f**5 Expand (-2*c**2 + 4*c**2 + c**2)*(-18 + 2*c - 7 + 20). 6*c**3 - 15*c**2 Expand (-6*j - 15*j + 6*j)*(7*j - 4 + 4). -105*j**2 Expand (1059*a**2 + 5*a**3 + 20 - 1060*a**2 + 6)*(3 - 1 - 3). -5*a**3 + a**2 - 26 Expand (21 - 23 + 31)*(b - 2 + 2)*(-5*b - 2*b + 4*b). -87*b**2 Expand (277 - 330 + 183)*(-1 - 3 + 3)*(-q**2 - q**2 + 0*q**2). 260*q**2 Expand ((t - 1 + 1)*(-2*t**2 + 3*t**2 + 0*t**2) + 2*t**3 - 7*t**3 + 3*t**3)*(-15 + 15 + 7*t**2). -7*t**5 Expand (0*t + 0*t - 2*t**3)*(5*t**2 + 0*t**2 - 4*t**2) + 3*t**5 + t**5 - 3*t**5 - 9*t**3 + t - 26*t**5 + 9*t**3. -27*t**5 + t Expand (-2*a**5 + 3*a**5 - 3*a**5)*(0 + 0 + 1 - 4 + 2 + 0 + (3 + 1 - 2)*(0 - 3 + 1) + 10 + 13 - 7). -22*a**5 Expand (4 - 5 + 0)*(3 - 3 - 2*b**3) + 2 - b**3 - 2 + 0*b**3 + b**3 + b**3 - 2 + 16*b - 16*b + 4*b**3 + (104 - 18*b**2 - 104)*(-1 + 1 + 2*b). -29*b**3 - 2 Expand -h**5 + 0 + 0 + 3*h**5 - 16*h**5 + 7*h**5 + (-h + 4*h - 2*h)*(0*h**3 + 0*h**3 - h**4) - 7*h**3 + 7*h**3 + 5*h**5 - h**5 + 4*h**5 - 4*h**5. -4*h**5 Expand (-1 + 5 - 5)*(-5*v + 153*v**2 - 2*v**3 - 154*v**2 - 2*v**3). 4*v**3 + v**2 + 5*v Expand (-33 + 0*y - 2*y + 31)*(2 - y**2 + 3*y**2 - 16). -4*y**3 - 4*y**2 + 28*y + 28 Expand -17*b**5 - 7989*b**3 + 7989*b**3 + (-2*b - 2*b + 5*b)*(-2*b**4 - 2*b + 2*b). -19*b**5 Expand 18*f**5 - 3*f**5 - 3*f**5 + (0*f**2 + 4*f**2 - 2*f**2)*(0*f**2 - f**3 + 0*f**2) + (-7*f + 4*f + 4*f)*(f**3 + f**4 - f**3). 11*f**5 Expand (2*b + b + 7*b)*(9 + 2*b + 2 - 10). 20*b**2 + 10*b Expand (3 - 1 - 3)*(3*h**3 - 5*h**3 - 2*h**3)*(-2 - 5 + 8) + (0 + 2 - 5)*(3*h**3 + 3*h**3 - 4*h**3). -2*h**3 Expand (-47 + 47 + 16*k)*(8*k**2 - 13*k + 13*k). 128*k**3 Expand (0*d - 2*d + 5*d)*(0 - 2 + 3)*(3*d + 3 + 1 - 3) - d**2 + 0*d + 0*d + (-3*d**2 - 5*d + 5*d)*(0 + 1 - 6). 23*d**2 + 3*d Expand 7*w**3 + 3*w**3 + 2*w**3 + (1 - w - 1)*(-11*w**2 - 2*w + 2*w). 23*w**3 Expand (3*v - 2*v + v + (-2 - 1 + 5)*(-5*v + 5*v - 3*v) + 5*v - 5*v + 2*v)*(-1 + 2 - 3)*(1 + 27*v**2 - 27*v**2 - 2*v**3). -8*v**4 + 4*v Expand 20*s**4 - 10145*s**3 + 10145*s**3 + (0*s - s - s)*(5*s**2 + 2*s**3 - 5*s**2). 16*s**4 Expand 0*x**3 - x**3 + 5*x**3 + (-2*x**3 + 22*x**3 + x**3)*(-1 - 2 + 2) + (x**2 + 2*x**2 - x**2)*(4*x + x - 4*x). -15*x**3 Expand (-79 - 8 - 4)*(-6*m + 3*m + 4*m)*(1 - 2 + 2)*(0*m**2 + 4*m**2 - m**2). -273*m**3 Expand 47*h**4 - 47*h**4 + 713*h**5 - 326*h**5 + (-3*h**2 + 3*h**2 - 2*h**2)*(-2*h**3 + 2*h**2 - 2*h**2). 391*h**5 Expand (1 + 3 - 2)*(-3*o**3 + 0*o**3 + o**3)*(-o + 3*o - o)*(10 - 10 + 19*o). -76*o**5 Expand 2*a**3 - a**5 - 2*a**3 + (4*a**5 - a**5 - a**5)*(-2 + 0 + 0) - 20*a**5 + 2*a**5 - 15*a**5. -38*a**5 Expand (0*f**2 + f**2 - 7*f**2)*(67*f + 1428 - 1428). -402*f**3 Expand (i - 4 + 4)*(-4 + 0 + 3) + 6*i - 9 + 9 + (5 + 2 + 3)*(2*i - 1 + 1). 25*i Expand ((i - 1 + 1)*(-3 + 0 + 1) - 2*i - 3*i + 2*i + 0*i + 4*i - i - i + 4*i - i + (-4 + 0 + 2)*(0*i - 5*i + 3*i) + 2*i - i + 0*i)*(2*i - 2*i - 10*i**3). -50*i**4 Expand -2*j**4 + 2*j**4 - 3*j**4 + (-2*j**2 + 3*j**2 + 0*j**2)*(-2*j**2 + 24 - 24). -5*j**4 Expand -14*f - 5*f - 8*f + (2 - 1 - 2)*(4 + f - 4). -28*f Expand 1 + 5*w**2 - 2*w**2 - 2*w**2 + (-2*w + 3*w - 2 + 0)*(-29*w - 4*w + 0*w). -32*w**2 + 66*w + 1 Expand (-2*o**3 + 2*o**3 + 2*o**3)*(1462 + 981 - 856 + 574)*(2*o - 6*o + 2*o). -8644*o**4 Expand (195 - 92 + 170 + 62)*(-3*x + 2*x - 5*x). -2010*x Expand 8*d - 3*d - 2*d + 2*d**2 + (-8 + 8 + 4*d)*(-2*d - 32 + 32) - 2*d**2 + 2*d**2 - d**2. -7*d**2 + 3*d Expand (n - 3 + 0*n - 4*n)*(6 + 2*n**2 - 6). -6*n**3 - 6*n**2 Expand -85*f**3 - 28*f**3 - 67*f**3 - f**3 + 2*f**3 - 2*f**3 + (3*f - 3*f - f**3)*(-1 + 3 - 1) + 3*f**3 - 6*f**2 + 6*f**2. -179*f**3 Expand ((5*f - 5*f - 7*f)*(3 + 2 - 3) + 2*f + 0*f - 3*f)*(-3 + 2*f + 3)*(-1 + 2 - 4). 90*f**2 Expand ((-6 + 1 + 3)*(2 - 2*d - 2) - 3 + 3 + d - 1 + 1 - d)*(4*d**2 + 2*d**2 - 8*d**2 + 22*d). -8*d**3 + 88*d**2 Expand 0*d**5 + 0*d**5 - 2*d**5 + (-5*d**4 - d**4 + 5*d**4)*(-104 + 43*d + 104) + 3*d**3 - 3*d**3 - d**5 + (d**4 + 0*d**4 - 3*d**4)*(10 - 10 + 2*d). -50*d**5 Expand 0*r + 2*r + 0*r + (2 + 0 - 3)*(-2*r + 2 - 2) - 3*r + 3*r + r + r - 1 + 1 + 5*r - r + 0*r + 5*r - 3*r - r + 0*r - r + 2*r. 12*r Expand (1 + 6*i - 4*i + 2*i)*(-1 - 7 - 10). -72*i - 18 Expand -5*q**4 + 3*q**4 + 3*q**4 + (46*q**3 + 115 - 115)*(0*q + 2*q + 0*q).
{ "pile_set_name": "DM Mathematics" }
) Simplify (((v*v**(-25)*v**(-13/6)*v)**(-10/3))**(-18))**(-4/11) assuming v is positive. v**(6040/11) Simplify b*b**(6/11)*b*b**(1/48)*b*b*b*b*b**33*b/(b**(-32)*b)*b assuming b is positive. b**(38315/528) Simplify (c**(-5)/(c**1/c))/(c**(-6)/c*c*c**(-3/11))*(c*c/(c*c**(6/13))*c*c**(-11))**(-12/13) assuming c is positive. c**(18602/1859) Simplify ((w/(w/w**(3/7)))**(-21)*(w/(w*w**0))**13)**(2/9) assuming w is positive. w**(-2) Simplify (w*w*w*w**(1/3)/w)/(w**2*w)*w*w/((w/w**(-2/5))/w)*w**(-1/5)*w**0*w**6*w**(2/5)/(w/w**(-2/3)*w*w*w) assuming w is positive. w**(37/15) Simplify a**(-1)/(a/(a/((a/(a/a**9))/a)))*a**(1/4)/(a**(-5)/a*a*a)*((((a*a*a/a**(2/13)*a)/a)/a)**(-28))**(-1/11) assuming a is positive. a**(-29/572) Simplify (p*(p/p**(-8))/p)/p**(-5)*p**(-2)*p**(-3)*p*(((p**(-4)/p*p)/p)/p**(1/3))/(p**3*p**(-2/7)) assuming p is positive. p**(41/21) Simplify (x**(-2/15)/(x*x**(1/3)))**(-1/15)*(((x**(-1/4)/x)/x*x*x)**(2/111))**34 assuming x is positive. x**(-461/8325) Simplify (((r**(-4)*r*r**(2/13))**(1/4))**20)**(-2/37) assuming r is positive. r**(10/13) Simplify ((p/p**(-3/4)*(p/(p/(p**(2/11)/p)))/p*(p/(p*p/((p*(p**(2/5)/p*p)/p)/p)*p)*p)**(-2/53))**48)**(2/65) assuming p is positive. p**(-168/14575) Simplify (((h/(h*h**0/h)*h**(2/13))/(h/(h*h/(h*h*h**1*h)*h))**(1/7))**(-2/37))**(-28) assuming h is positive. h**(632/481) Simplify ((g*g**(-2))/g**(-2))/(g**(-2/11))**(-28)*(g/(g**(1/4)/g)*g)**39/(g**(1/3))**(11/6) assuming g is positive. g**(40609/396) Simplify (u*u*u*(u/((u/(u**(2/7)*u))/u))/u)/u**(2/5)*u*u*u*u**(-4/3)*u*u**(-3/5)/u*((u/u**(-5))/u**(-4))**(-2/97) assuming u is positive. u**(9668/2037) Simplify (r*r*r**9*r**14/r*r)**28*(r*(r/(r/r**(-1/2)))/r*r)/(r/(r**8*r))*r/(r/(r**(1/6)*r))*r**7*r assuming r is positive. r**(2153/3) Simplify ((w*w**(-12))**(-37)*(w**23/w)**(12/11))**(-14) assuming w is positive. w**(-6034) Simplify ((d/(d/d**12)*d**11)/(d**(1/2))**(13/2))**(-29) assuming d is positive. d**(-2291/4) Simplify (u**0/u)**(7/10)*u**(5/4)/(u/(u*(u/(u**(-4)*u))/u*u))*(u*u**(1/2)/u*u/u**(2/3))/(u*u/(u*u*u**(2/3))*u*u*u**(-3/4)/u) assuming u is positive. u**(29/5) Simplify (((((w/(w*w**(3/2)))/w)/(w/(w**(-1/9)/w*w)))/(w**1/w**(-2/5)))**(5/6))**50 assuming w is positive. w**(-11275/54) Simplify (r**(-2)/(r/(r**2*r*r)))**(-12/7)/((r*r*r**(-2/5))**(-4/7))**41 assuming r is positive. r**(1252/35) Simplify ((((u*u/(u*u**(2/35)*u)*u*u)/u*u)/u**(1/9))/(u*(u*u**8)/u*u**(3/4)))**(-16/5) assuming u is positive. u**(39908/1575) Simplify (((n/n**(2/5))/n*n)**11)**(2/67)*(n**(2/5))**39/(n*n**0*n)**(2/31) assuming n is positive. n**(162712/10385) Simplify (u**(3/5)/(u**(1/3)*u))**(-49)/((u**(-2/5))**18/(u**4*u*u/(u*u/u**5)*u)) assuming u is positive. u**(797/15) Simplify ((((d/d**(1/10)*d)/(d/d**(-2/39)))**19)**(1/5))**48 assuming d is positive. d**(50312/325) Simplify ((i/((i/(i/(i**(-3/14)*i))*i*i)/i))/i)**41*(i*i/((i/(i*(i/(i*i**(-26))*i)/i))/i))**(-48) assuming i is positive. i**(-20513/14) Simplify ((d**(1/5))**22/(d**(2/5))**(2/69))/(d**(-1/2)*d/(((d/(d**(-5/2)*d))/d*d)/d))**(13/2) assuming d is positive. d**(7513/690) Simplify ((j*j*j/(j*j**(-1)*j))**(-1/29)*((j/(j**2/j))/j*j)/(j**0*j))/(j**(-2/19)*j**(-7))**(-20) assuming j is positive. j**(-78889/551) Simplify (s/(s**(-4)*s)*s**3*s**(2/5)*s*s**(-2))/((s/s**(-2)*s**(-2/13))/((s**7/s)/(s*s*(s**(2/5)/s*s)/s*s))) assuming s is positive. s**(93/13) Simplify ((x*x/(x**(-10)/x))**(-6/17)/(x*(x*(x/(x**(-13)/x))/x)/x)**(26/5))**(-6/35) assuming x is positive. x**(8424/595) Simplify (f*f/(f/(f**12*f))*f*f*f*f**2/f*f)**(-43)*(((f*f**(1/6))/f*f)**(-9))**(1/25) assuming f is positive. f**(-40871/50) Simplify ((i*i**(2/7)*i*i)**34/(i*(i**(2/13)*i)/i*i)**(-26))**1 assuming i is positive. i**(1174/7) Simplify (k**(-1/5)*k**(4/9)/k*(k/((k/k**1)/k))**(3/5))/((k**(3/5)*k)/(k*k**(1/5)))**50 assuming k is positive. k**(-176/9) Simplify (l*l/(l**17*l)*l*(l/(l/(l/(l**(-6/7)/l))))/l*l*l/l**(2/7)*l/(l*l**(-2)))**(-25) assuming l is positive. l**(1650/7) Simplify o**(-1/9)*o*(o*o**(5/6)*o)/o*o*((o/(o*((o**1*o*o)/o*o)/o*o*o))/o)**43*(o**0)**(1/19)/((o/(o**(-3/4)*o))/o**0) assuming o is positive. o**(-7633/36) Simplify (((o*(o*o**(-2/11))/o)/(o/(((o**(-2/3)*o)/o)/o))*(o**(2/7))**25)**(-3/5))**(2/41) assuming o is positive. o**(-2446/15785) Simplify ((p**1)**(-27))**(-4/23)/((p**(-3)/p**(2/3))/(p/(p/(p**(-1)*p)))**(-3/11)) assuming p is positive. p**(577/69) Simplify (q/(q/q**(-2/19))*q)/((q*q**(-42)*q)/q*q)*q**(-16)/(q/(q/((q*q**31)/q*q))) assuming q is positive. q**(-135/19) Simplify ((((d*d**(2/15)*d)/(d/d**(4/3)))/(d**(-1/2))**2)**(-14))**(-7) assuming d is positive. d**(5096/15) Simplify (o**(-1/3))**33/(o**3/(o*o*o**(-8)))*((o*o**(-1/4))/o)**3/(o/o**(-1/2))**(-2/9) assuming o is positive. o**(-245/12) Simplify ((n**(-19)/n**17)/(((n*n**2*n)/n)/n)**(-16/9))**(-1/26) assuming n is positive. n**(146/117) Simplify (h/(h*h**(-10))*h**(-5/3)*h*h*h*h*(h**(2/17))**(-5))**27 assuming h is positive. h**(5391/17) Simplify ((b/(b*b/(b*b/b**(-3/4))*b)*b*b/(b/(b**(-3/2)*b)))/(b**(2/19)/(b**(-1/5)*b)))/((b**(-2/7))**10)**33 assuming b is positive. b**(255973/2660) Simplify (((m**(-6)/m*m)/m)**33/(m**(-11/2)/m**(-5)))**35 assuming m is positive. m**(-16135/2) Simplify (h**(1/4)*h*h*h**7*h*h**(1/6)*h**(-2))/(((h/((h**(-4)*h)/h))/h**(7/3))/((h/(h/(h/h**(-1/5)*h)))/h*h**(3/4))) assuming h is positive. h**(77/10) Simplify ((y**0)**(9/7)/(y/y**(-7)*y**6))/((y**(1/6)*y**(-1)*y)/(((y/(y**0/y))/y)/y**(-2/17))) assuming y is positive. y**(-1331/102) Simplify ((a**(4/9)*a**(-5))/(a**(-1/5)*((a**(1/3)*a)/a)/a*a))/((a/a**(-7/4))/a*a/a**(2/7))**(-2/9) assuming a is positive. a**(-2609/630) Simplify ((v**(-1))**(-7/2)*(v**(-1/2)*v)/v**(2/5))/((v/((v/(v*v/(v*v**(-1/7)*v*v)))/v))/(v*v**(2/5)*v)*(v**(-1)/v)**(-22)) assuming v is positive. v**(-267/7) Simplify (((((f*f**(-6/7))/f)**(-11))**23)**(-18))**8 assuming f is positive. f**(-218592/7) Simplify ((((b**10/b*b)/b*(b/b**22*b)/b)**(4/9))**2)**26 assuming b is positive. b**(-832/3) Simplify ((o**(-2/21)*o*o**(3/7))/(o*o/(o**(-1)/o))**24)/((o/(o*o/o**(-2/7)*o))/o*o*o**(-1)*o*o*o**(1/5)*o/(o/(o*o/(o**(-6)*o)))) assuming o is positive. o**(-10561/105) Simplify ((h**3/(h*h*h/((h*h**(2/19)*h)/h))*(h/(h**(1/5)/h))/(h/(h/(h*h**(-2)*h*h))))**47)**(-2/15) assuming h is positive. h**(-17014/1425) Simplify ((m*(m**(-2/3)*m)/m)/m)/m**2*(m/m**(-4))/m*((m*m/m**(4/5))/m)/m*((m/m**(-1))/(m**3*m))**(5/11) assuming m is positive. m**(-62/165) Simplify h**(2/11)*h*h**(-5)*((h*h**(1/3))/h)/(h/(h/(h*h**(1/3)/h)))*(h**(1/5)/h)**(-47)/((h*h**(-1/4))/h*h**(-5/6)) assuming h is positive. h**(23011/660) Simplify (u**(1/6)/(u**(-9/4)/u)*(u*((u**(-6/11)/u)/u)/u)**(-20))**2 assuming u is positive. u**(7171/66) Simplify (((t*t*t/((t/(t/(t/((t/(t/(t/(t*(t*t**(1/3)*t*t)/t)*t))*t)/t)*t)))/t)*t)**(1/3)*(t**(2/5))**10)**27)**(-15) assuming t is positive. t**(-1845) Simplify (((k**(-1/7)*(k*k**5/k)/k)**(-1/3))**(-19))**(-24) assuming k is positive. k**(-4104/7) Simplify (a*a*a/a**(-2)*a*a**1)/((a**0*a)/a**8)*(a**0)**(-25)/((a/a**(-2/13))/a**(2/15)) assuming a is positive. a**(2531/195) Simplify (d**(-4/7)/(d**(-4)/d))/(d**1/(d**(-6)*d*d))*(d**(-1/4))**(-28)*d*d**3*d**(1/11) assuming d is positive. d**(810/77) Simplify (((u/((u*u/u**(-3/7))/u*u))/u*u)/(u/(u**(-39/4)*u)))/(((u/(u*u/(u**(3/35)/u)*u))/u)/(u**20/u)) assuming u is positive. u**(1643/140) Simplify (x*x*x**2*x*x/(x*x/(x*x**(5/2)/x))*x*x*x*x*x*x**(-1/2)*x*x/x**1)/((x/(x/(x/(x/x**(1/5))))*x*x)**(1/5))**(-17) assuming x is positive. x**(487/25) Simplify ((z*z**(-23)*z)/z**(28/3)*z/z**12*z*z*z*z**(-1/50)*z*z)**(-3/2) assuming z is positive. z**(5453/100) Simplify ((h/(h/(h*h**(-2/25)*h)*h))/h**14)**(16/9)*h**(-2)/(h*h*h**9*h*h)*h**(-1/4)*h**6 assuming h is positive. h**(-9751/300) Simplify ((x**(-26))**(1/25)/((x*x**(-1/10)*x)/(x**(-8)*x)))**(-43) assuming x is positive. x**(21371/50) Simplify (((q/(q/(q**(-1/7)/q*q)))/(q*q**3*q))/(q**0*q**(-1/3)))/(q/(q**(-4)/q*q)*q*q**(1/9)*q)**(1/50) assuming q is positive. q**(-7799/1575) Simplify (v**5/v**(-2))/(v*v**(-4)*v/(v/((v/v**(-3/8))/v)))*(v**(-3)/v*v*v)/((v**(-2/3)/v)/v)*(v*v**(1/3)*v*v)/v*v**(-6)/v assuming v is positive. v**(45/8) Simplify (j/((j/j**(2/3))/j*j)*j**(-8))/(j*j/j**2*j**(-2))*(j*j**1/j)**(-47)*(j/((j**0/j)/j))*
{ "pile_set_name": "DM Mathematics" }
Solve j*o = 4*k, 2*o = -3*k + 6*o for k. 0 Let a = 8 + -4. Let g be ((-72)/(-60))/(3/(-20)). Let l be g*(-4)/(-8) + 4. Solve x - a = -l*b + b, -5*x - 15 = 2*b for b. -5 Let w be (-17)/(-6) - -4*20/(-96). Solve 0 = w*g + 3*u + 9, -3 + 2 = 2*g - 5*u for g. -3 Suppose -3*v + 138 = -3*m + 69, -2*v - 4*m + 94 = 0. Solve -2*g + 30*h = 32*h + 12, 5*h + v = -4*g for g. 1 Suppose 14*x - 243 = 11*x. Suppose -x + 501 = 4*s. Let k = -105 + s. Solve -2*p - 10 = k, 3*p + 1 = -n - 14 for n. 0 Suppose 4*p = -v + 7, v - 4*p = -0*p - 1. Solve -v*m = -f + 15, -4*m + m = -2*f + 18 for m. -4 Let c(u) = 7*u + 139. Let v be c(-19). Suppose v = 3*w + 3. Let f = -7 - -12. Solve 4*r - 2*k = 2 - 4, -3*k = -f*r - w for r. -2 Let h(f) = -f**3 + 10*f**2 - 9*f + 5. Let d be h(9). Solve -d*q = 0, 24 = 4*n - 2*q + 4 for n. 5 Suppose 0 = 3*p + 5*g + 11, 0 = 3*p - 6*g + 3*g - 21. Suppose 6 = 3*k - 4*w, p*w = -8*k + 3*k + 10. Solve k*a - 14 = 5*q, q + 4*a - a - 4 = 0 for q. -2 Suppose 51*q - 7 = 50*q - z, -3*z = q - 5. Solve 0 = 4*f + 2*g - 10 + q, 5*f = 3*g - 14 for f. -1 Let s(l) = l - 13. Let j be s(13). Suppose 0 = -5*y + 5, -2*x + y + j*y + 7 = 0. Solve -5*b - 16 = -z, 3*b = 6*b - 2*z + x for b. -4 Suppose 4272*z - 4281*z - 29 + 83 = 0. Solve 0 = 3*x - z, 3*x = -24*g + 22*g + 2 for g. -2 Let s be 5*(0 + (-28)/(-35)). Suppose 5*z + 68 = 3*m, s*m + 2*z - 82 = m. Solve -4*h + 3*g - 5 = -m, 5*h - g = 18 for h. 3 Let o = 47 + -40. Let m(y) = 3*y + 44. Suppose 19 = -6*u - 65. Let n be m(u). Solve 3*q - 22 = 5*c, n*q + 0 + o = -c for c. -5 Let w be (-1 - -131)*(-9)/(-18). Suppose -73*n + w*n = 0. Let t = 5 - 3. Solve -2*m - t = -4*j, n*j + 4*m + 4 = -5*j for j. 0 Let d be 3/((-42)/(-2468)) + 38/(-133). Let q = -176 + d. Suppose 3*g + 0*g - 9 = 0. Solve q = -g*r - 0*r + 5*p + 8, -4*r = -p - 5 for r. 1 Let d(a) = -a**3 + 2*a**2 + a - 3. Let b be d(-2). Suppose 6*y - b*y = -15. Suppose 2*g - y*g = 0. Solve 2*l + 4*x - 8 = g, -x = 3*l + x + 4 for l. -4 Suppose -5 + 33 = 4*j - 4*n, 4*j = -5*n + 19. Let r(t) = t**2 - 8*t + 22. Let m be r(j). Solve 5*u + 4*h = m, 5*u + h = 2 - 7 for u. -2 Let x = 31 - 25. Let y(b) = b**3 - 5*b**2 - 11*b + 9. Let c be y(7). Suppose -f + 4*i - 10 = f, c = 4*f + 2*i. Solve -4*h = -f*z - 15, x*z + 15 = z - 4*h for z. -3 Suppose 18*k = -2*k + 120. Suppose 2*g + g - k = i, -5*i = 5*g - 30. Solve -4*n - g*f + 11 = 0, -5*f + 0*f = -3*n - 28 for n. -1 Suppose 3*d - 31 = -4*i - 0, 0 = -4*d + i - 3. Suppose -4*b = -b - 9. Solve b*n = -z - 6, 5*z - n - d = 1 for z. 0 Suppose 6246 = 201*m + 5643. Solve 5*n - 14 + 37 = -i, 5*n = -m*i - 29 for i. -3 Suppose -10*o = -14*o + 424. Let j = o + -78. Suppose -j = -5*l - 3. Solve -3*q - 11 = k, -17 = -q - l*k - 2 for q. -5 Suppose 0 = 151*f - 133*f - 54. Let o = -34 - -39. Solve 2*g = f*q - o*q - 10, 5*g = -2*q - 13 for q. -4 Let d(b) = -b**2 + b - 5. Let h be d(6). Let a = 40 + h. Suppose -8 = a*k - 23. Solve -4*m + 2*w - w - 13 = 0, 5*m - k*w = -25 for m. -2 Suppose 1870 = -4*y - 4*f + 2*f, 2*y - 5*f + 905 = 0. Let d = 465 + y. Solve -2*t + 4*z = 2, -z = -3*t - d*z - 13 for t. -5 Suppose -4*m = -1360 + 1340. Solve -3*t + m*o + 2 = 0, t - 2*o + o = 0 for t. -1 Let s be 11 + -2 + (-21)/(252/48). Suppose s*c + 5*o - 8*o = 3, 2*o = -c + 11. Solve 17 = c*i + 4*h, 3*i - 1 = h + 6 for i. 3 Let o(v) = v**2 + 14*v + 6. Let l be o(-14). Suppose -l*r - 504 = -15*r. Let t = 65 - r. Solve 0*u - t = -4*d + u, 3 = -d + 2*u for d. 3 Suppose x + 207 = 225. Solve 5 = f, x*c - 2*f + 9 = 19*c for c. -1 Suppose q = -2*q. Suppose -2*n + 43 = -z, q*z + 4*z = -4*n + 116. Suppose 2*k + 2 = 3*y - n, -12 = 3*k. Solve l + 2*h + 0*h - y = 0, 2*l + h = -3 for l. -4 Suppose 0 = 5*s - 268 + 258. Let n = 28 - 30. Let l be (-45)/(-9)*(-1 - n). Solve 2*o = -x, -x = x + l*o - s for x. -4 Let b be (5/3)/(-6 - (-152)/24). Let a be 2 + -6 + 20/b*1. Solve a*o = -o - 4*r + 6, 4*o - 4*r - 4 = 0 for o. 2 Let p(b) = -640*b - 11520. Let w be p(-18). Solve -8*v = 2*x - 10*v + 12, -3*v + 18 = w for x. 0 Let f be -4*2/4 + 4 + 0. Let t(w) = -w**2 + 8*w - 11. Let y be t(5). Solve 3*o = 3 + 3, 3*v - f*o + y = 0 for v. 0 Suppose 0 = -8*l + 5*l + 15. Suppose 11*a + 4 = 37. Solve 10 = l*n - a*i, 5*n + 0*i = i + 20 for n. 5 Suppose -17*j + 355 = 31*j + 23*j. Solve 0 = -4*g + 3*y + 2*y, 0 = 3*g - j*y + 5 for g. 5 Let z(a) = -a**3 + a**2 - 2. Let b = -54 + 53. Let x be z(b). Solve 0 = -4*i - 3*p + 25, -i + 4*p - 6 - 2 = x for i. 4 Let z be 26/9 - (-27)/243. Solve -t = z*o - 0*o + 15, 3*o + 15 = -4*t for t. 0 Suppose 2*p = 5*p - 12. Suppose 4 = -u + p*u - 5*r, -2*u + 7 = r. Let j = -2063 + 2068. Solve 2*m + 8 = -u*z, 13 = -j*z + 2*m - 11 for z. -4 Suppose 0 = f - 161 + 166. Let n be 0 - -5 - 4/1. Let t be n + (5/1)/f. Solve t = -2*k + 8, 4*z + 5*k + 3 - 15 = 0 for z. -2 Suppose 28*s - 308 - 140 = 0. Suppose 4*b - 8 = -0*p + 2*p, -2*p + s = 2*b. Solve -2*d + 8 = -2*j, 0*d = -b*j - d - 16 for j. -4 Suppose 0 = -9*q - 17 + 62. Suppose 3*w - 5*z + 24 = 0, q + 7 = w + 5*z. Let x be 1/(-3)*(1 - -2) - w. Solve -5*t - 3*m - m = x, 3*t + 10 = 2*m for t. -2 Suppose -39*l = -44*l + 2*o + 19, -4*l + 2*o = -16. Solve l*k - 4*v = 9, 8 = 47*k - 43*k - 4*v for k. -1 Suppose 5*h + 0 - 35 = 0. Suppose 40*g + 9 = -10 + 99. Solve 2*y + h - g = f, -f + 7 = -4*y for y. -1 Let f be 2/14*-3 + (-2256)/(-658). Solve -5*d + f*d = -3*a - 7, -2*a + 12 = 2*d for a. 1 Let m be ((-5841)/(-27))/59 - (-10)/(-6). Solve p + m*n - 25 + 22 = 0, -2 = 2*n for p. 5 Suppose q - 5*s + 4 = -6*s, 5*s + 26 = q. Let d be -6 + q + (5 - -4). Solve 0 = 2*a - d*r - 10, 10 = -0*a + 2*a - 5*r for a. 5 Let q(m) = m**2 + 3*m + 6. Let a be q(-5). Let t(b) = -b**3 + 15*b**2 + 23*b - 102. Let j be t(a). Solve 5*x = -3*w + 29, -10 - j = -5*x for w. 3 Suppose 24*b - 3*u + 1 = 23*b, -15 = -5*b - 5*u. Suppose -i + 17 + 1 = -4*o, -3*i - o = -15. Solve -i*c + 3*c = -b*l - 14, 20 = 5*c for l. -1 Suppose -58 = -7*r + 131. Suppose 10*v - r - 73 = 0. Solve p = -5*q - 0*p - v, 5*p = -4*q - 8 for q. -2 Let a = -129934 - -129938. Suppose 2*o = 2 + 30. Solve 3*d + 3 = 3*k, -a*k - o = 4*d - 3*d for k. -3 Let m be (-4)/10 + 17/5. Let x be (-37)/(-2590)*170 + 4/7. Suppose 4*o = -3*p + 6, x*o + m = -5*p + 2. Solve -8 = -4*j + 2*f - 5*f, 0 = o*j - 4*f + 19 for j. -1 Let g = 18 + -26. Let w(q) = -q + 10. Let r be w(10). Let y be (g - r)/(-4)*1. Solve 6*n - y*s - 3 = 3*n, -5*n + 9 = -2*s for n. 3 Suppose 55 = 5*s + 5*o, 179*s = 174*s - 2*o + 37. Solve -g = 4*l + s, 3*l - 20 = 23*g - 19*g for g. -5 Suppose 0 = -193*m + 73*m + 7 + 593. Solve -10 - 20 = -5*a, -5*s = m*a - 10 for s. -4 Suppose h = 6*h - 290. Let u = -12 + h. Let a = -46 + u. Solve a - 12 = 5*d - i, 3*i = -2*d - 15 for d. -3 Let c = 37 - -4. Suppose -3*q - c = -5*f, 0 = 2*f + 2*q - 0*q - 10. Let v = -42 - -44. Solve -f = -i - 5*z, -v*i + 8*z = 4*z for i. 2 Suppose -10*m - 155 + 895 = 0. Suppose m = 2*a + 32. Solve s - 3*s - 3*c - a = 0, 5 = 5*s - 4*c for s. -3 Let d be (12964/(-8))/7 - 7/(-14). Let c = d - -239. Solve -4*k - 5 = -h, c*k = 5*h + 5*k - 25 for h. 5 Suppose -49*x - 160 = -65*x. Solve -2*s + x = 4*f, 3*s - 25 = -5*f - 2*s for f. 0 Let q be ((-60)/(-35))/((-10)/(-35)). Let j be 17/q + 14/84 - -1. Let m be (-3)/6*-1*0. Solve m = c - j*g - 23, -g - 10 = g for c. 3 Let v be 4/(-30) + 8/((-840)/2821). Let s be (1 - 2/5)/(v/(-90)). Solve -2*q - s - 12 = 4*f, -f - q = 2 for f. -5 Let p = -276 - -278. Suppose p = 3*k - 16. Solve -2*l = 2*a - k, -a - 10 - 12 = -4*l for l. 5 Let h be 37/((-3108)/(-48)) + (-34)/(-14). Suppose 0 = b - 5*y + 22, 5*b - 5*y + 7 = -3. Solve -b*j - 14 = -4*o - o, j = -h*o for j. -3 Suppose -27 - 28 = 11*w. Let s be (2/w)/((-30)/225). Solve 3*z + 2*a = -17, 3*a + s + 3 = 2*z for z. -3 Let b(w) = -w**3 - 30*w**2 + 31*w + 5. Suppose 0 = 3*s - 2*g + 143 - 40, -21 = s + 2*g. Let j be b(s). Solve 0 = -3*y + j*c + 8 + 2, -20 = -5*y + 5*c for y. 5 Suppose -21 = -4*c - 3*k, -5*c = 4*k - 16 - 11. Suppose -157*o + 112*o + 295*o - 500 = 0. Solve 5*q = o*u - 8, 3*q + 2*q + 7 = c*u for u. -1 Let t = 5721 - 5718. Solve 1 + 5 = 2*w, 5*p - w = -t for p. 0 Let y = 173 + -148. Let d be (1 - (-10)/(-12)) + y/(-150). Solve 4*g - c + 14 = d, 6*g - 4*c = 2*g - 20 for g. -3 Suppose 2*c = 2*q - 2, 40*c - 4*q = 42*c - 4. Solve -5*v + d = -22 - 0, 3*v - 2*d - 16 = c for v. 4 Suppose 103*w
{ "pile_set_name": "DM Mathematics" }
ppose -t = -5*p + 2*q, q - 630 = -5*p + 4*q. Calculate the remainder when p is divided by 31. 30 Let v(m) be the first derivative of m**4/4 + 7*m**3/3 + m**2/2 + 3*m + 2. Let a be v(-7). What is the remainder when 19 is divided by 2/a*-14*1? 5 Let x(v) = v**3 - 4*v**2 + 6*v - 8. Let g(m) = m**3 - 7*m**2 - 8*m + 10. Let c = -8 + 16. Calculate the remainder when x(4) is divided by g(c). 6 Suppose -2 = 2*h + s, -3*h + 5*s + 0 = -23. Let u = h + 7. Let c(q) = -q**2 - 8*q + 5. What is the remainder when u is divided by c(-8)? 3 Let m(c) = 12*c**2 - 2*c + 1. Suppose 5*h + 15 = -5*s, -s + 2*h + 10 = 1. Let p = -4683 + 4724. Calculate the remainder when p is divided by m(s). 8 Suppose 54 = 5*a + 14. Suppose -6*x = -a*x + 28. Calculate the remainder when 50 is divided by x. 8 What is the remainder when 86 is divided by 23/6*4*15/10? 17 Let r(n) = -89*n - 171. What is the remainder when 18 + 1 + 1*-1 is divided by r(-2)? 4 Let z be (-88)/9 - (-12)/(-54). Let i = 17 - z. Suppose -3*d = -24 - i. What is the remainder when 48 is divided by d? 14 Let z(u) = -u**3 + 10*u**2 + u + 15. What is the remainder when z(9) is divided by 25? 5 Let x = 1555 - 1519. Suppose 0 = -2*o - 2*o + 420. What is the remainder when o is divided by x? 33 Let v = -74 - -115. Let w = 57 - v. Calculate the remainder when 29 is divided by w. 13 Suppose -2*q = -101 + 19. What is the remainder when q is divided by (7 + 5/(-2))*(-28)/(-6)? 20 Suppose 0 = -5*p + 2*y + 375, -3*p - 57 = -y - 282. Calculate the remainder when p is divided by 13. 10 Suppose 234 = 2*s - 2*r, 17*r = 12*r - 20. What is the remainder when s is divided by 64? 49 Let j(k) = -k**3 + 5*k**2 + 3*k + 17. What is the remainder when j(5) is divided by 4/(-16) + 138/8? 15 Let b(r) = -10*r - 16. Let c be 282/(-4)*(-2 + 0). Suppose 5*q - q + c = 5*u, u - 9 = -4*q. Calculate the remainder when u is divided by b(-3). 11 Suppose -10*x + 300 - 90 = 0. What is the remainder when 136 is divided by x? 10 Let l(w) = 23*w**2 + 4. Let k be l(-2). Suppose 6*n = k + 798. Calculate the remainder when n is divided by 10. 9 Suppose 7*s = 8*s. Suppose 0 = -0*j + 2*j - i - 19, -3*i + 9 = s. Suppose 18 = 2*y + y. Calculate the remainder when j is divided by y. 5 Suppose 385 = 5*p + 2*p. Suppose 3*u = 45 + 15. Calculate the remainder when p is divided by u. 15 Suppose -2*z = -5*p + 53 + 5, -70 = -5*p + 5*z. Calculate the remainder when p is divided by 2. 0 Let c = 27 - 24. Suppose 3*t = -12, c*t - t - 132 = -5*i. What is the remainder when i is divided by 17? 11 Let k = -44 + 103. Calculate the remainder when k is divided by 27. 5 Let l be 424/6 + 8/6. Let y be (l/(-20) + 4)*10. Let d(k) = k**3 - 2*k**2 - 5*k. Calculate the remainder when 34 is divided by d(y). 10 Let o = 0 + 6. Calculate the remainder when (-13 - -26) + -27 - -28 is divided by o. 2 Suppose 2*m = w + 25, -5*m - w - 24 = -97. Let d = 48 + -30. Suppose d = 9*j - 225. What is the remainder when j is divided by m? 13 Let p = 41 + -14. Suppose 4*j = -3*n + 53, 3*j - 5*j - 2 = 0. What is the remainder when p is divided by n + -1 - (-40)/(-10)? 13 Suppose 0 = -2*l + 5*z + 54, -l + z = -3*z - 30. Calculate the remainder when l is divided by 13. 9 Suppose 0 = 4*j - 2 - 6, -5*y - 3*j = -2471. Calculate the remainder when y is divided by 33. 31 Suppose 0 + 12 = -6*o. What is the remainder when 63 is divided by -4*o/(16/44)? 19 Suppose -5*s + 45 = b, 3*b + 5*s = b + 80. Calculate the remainder when 68 is divided by b. 33 Let w = 233 + -214. Let x be ((-44)/(-5))/(4/50). Suppose p - x = -p. Calculate the remainder when p is divided by w. 17 Let a(m) = -m**3 - 21*m**2 + 20*m + 15. Suppose 2*h - 12 = 3*h + 2*f, 3*h = 4*f - 86. Calculate the remainder when a(h) is divided by 15. 14 Suppose 5*s - 273 = -4*y - 69, 2*y - 2*s - 120 = 0. Let i = 11 + -18. What is the remainder when y is divided by (-135)/i - (-4)/(-14)? 18 Let i = 86 - 55. Suppose 0 = 4*n - 56 - 184. Calculate the remainder when n is divided by i. 29 Suppose 9*o - 21*o = -48. What is the remainder when 193 is divided by o? 1 Suppose -197 = -3*m - j, -2*m - 12*j = -11*j - 132. What is the remainder when m is divided by 45? 20 Let b be (-1)/(-3)*3 + -1. Suppose -5*j + j + 116 = b. Suppose 8*r - 107 - 13 = 0. Calculate the remainder when j is divided by r. 14 Let u = -109 - -169. Let q(h) = 9*h + 7. Calculate the remainder when u is divided by q(1). 12 Let i = -78 - -111. What is the remainder when 656/22 + 6/i is divided by 8? 6 Let w(u) = -u**3 + 11*u**2 - 7*u - 14. Let x be w(10). Suppose 5*h + 5*z = 21 + 64, x = 3*h - 4*z. What is the remainder when 3/(h/8) + 21 is divided by 8? 7 Let c = -28 + 39. Let g(u) = 6*u - 26. Let z be g(c). Let l = 77 - z. What is the remainder when l is divided by 19? 18 Let h(c) = c**2 - 2*c - 3. Suppose 0*l + 3 = -l. Let s = l + 1. What is the remainder when h(s) is divided by 2? 1 Let l(x) = -19*x - 182. Suppose -5*k + 315 = -80. Calculate the remainder when k is divided by l(-11). 25 Let h(a) = -4*a**2 - 3*a + 3. Let v be h(1). What is the remainder when (-1)/((-3)/291)*(5 + v) is divided by 50? 47 Let q(h) = 4 - h + 0*h + 3 - 1. Let a be q(14). Let z(b) = -b + 11. Calculate the remainder when 35 is divided by z(a). 16 Suppose -24*o - 6 = -27*o. What is the remainder when 10 is divided by o? 0 Let u(m) = 11*m + 200. What is the remainder when 71 is divided by u(-18)? 1 Suppose 102 = -23*p + 26*p. What is the remainder when p is divided by 23? 11 Let h = 41 + -24. Let j = 295 - 288. Calculate the remainder when h is divided by j. 3 Let u = -1199 - -1205. Suppose -p + 3*p = 50. Let b = p + -15. What is the remainder when b is divided by u? 4 Suppose -1258 = -9*u + 4*x, u - 536 = -3*u - 4*x. What is the remainder when 1516 is divided by u? 136 What is the remainder when 108 is divided by -3 - (7 - (31 + 0))? 3 Let v be (-5 - -6) + (-1 - -2). Suppose 0 = -5*d + 3*b + 4, 5*d + 3*b - 2*b = 12. Suppose 0 = d*p + v*p - 108. What is the remainder when p is divided by 7? 6 Suppose 3*q = 4*v - 4, 4*v + 13 - 45 = -4*q. Suppose 131 = v*t - 5*b, -t + b - 10 + 43 = 0. Calculate the remainder when t is divided by 13. 8 Suppose -9 = -4*h - 1. Suppose -4*m + g + h*g = -30, -3*m + 3*g + 24 = 0. What is the remainder when m is divided by (-2)/4 + (-18)/(-4)? 2 Let r(d) = 32*d + 7. Let b be r(-2). Let j = 94 + b. Calculate the remainder when j is divided by -2*(-10 + -1 + 1). 17 Let z = 17 - -32. What is the remainder when z is divided by 15? 4 Suppose 0 = 4*n - 4*h - 12, 0*n + 4*h = -n + 8. Suppose -5*m - d + 743 = -2*d, 0 = 2*d - n. Calculate the remainder when m is divided by 38. 35 Suppose -2*g - 2*g + 348 = 3*z, -z - 174 = -2*g. Calculate the remainder when g is divided by 32. 23 Suppose 3*z - 48 - 27 = 0. Suppose -3*h + h + 2 = 0, -3*h = -3*t + 24. What is the remainder when z is divided by t? 7 Suppose 113*f = 68*f + 18045. Calculate the remainder when f is divided by 101. 98 Let f be (10/(-2) + -16)*(-60)/14. Let c = f + -66. What is the remainder when c is divided by 7? 3 Let w(m) be the first derivative of -m**4/2 - 5*m**3/3 - m**2/2 - 4*m - 15. Calculate the remainder when w(-4) is divided by 10. 8 Suppose -3*y - 21 = -5*v, -2*y - v = -4*v + 15. Let p be (-4)/3*y/8. What is the remainder when (-10)/15*(-81)/p is divided by 15? 12 Let q be ((-5 - -2) + 2)*1 - -4. Suppose t = -g + 4*g - 97, -q*t = 4*g - 112. Calculate the remainder when 91 is divided by g. 29 Suppose 4*q = x - 0*x - 20, 0 = -5*x - 4*q + 4. Suppose j - x + 0 = 0. Suppose -j*r + 69 + 7 = 0. What is the remainder when r is divided by 7? 5 Let v be ((-1)/(-2)*-4)/(-1). Let d(n) = v*n**3 + 11*n**2 - 5 + n**3 - 2*n**3 - 4*n. What is the remainder when d(-11) is divided by 10? 9 Suppose 412 = 9*x - 479. What is the remainder when 296 is divided by x? 98 Suppose 2*m + 1 = 3*h - 5, -m = -3. Suppose 0*c + h*c + 3*g - 23 = 0, 4*c - 2*g - 18 = 0. Calculate the remainder when 14 is divided by c. 4 Suppose 3*h + 0*h - 36 = 3*a, 0 = -4*h - 5*a + 66. Let t = 187 - 121. Let s = 121 - t. What is the remainder when s is divided by h? 13 Let a be 1/(-4)*-38*6. Suppose 4*r = r + a. Suppose -2*d + 220 = 2*d. Calculate the remainder when d is divided by r. 17 Let q(t) = -24*t**3 + t**2 + 5*t + 3. What is the remainder when 229 is divided by q(-1)? 22 Suppose
{ "pile_set_name": "DM Mathematics" }
. 2, 31, 53 List the prime factors of 22348. 2, 37, 151 List the prime factors of 8541. 3, 13, 73 What are the prime factors of 2773? 47, 59 What are the prime factors of 12810? 2, 3, 5, 7, 61 List the prime factors of 49321. 31, 37, 43 List the prime factors of 2816. 2, 11 What are the prime factors of 2171? 13, 167 What are the prime factors of 2513? 7, 359 What are the prime factors of 297? 3, 11 What are the prime factors of 3651? 3, 1217 List the prime factors of 117730. 2, 5, 61, 193 List the prime factors of 11852. 2, 2963 List the prime factors of 13704. 2, 3, 571 List the prime factors of 2258. 2, 1129 List the prime factors of 5622. 2, 3, 937 What are the prime factors of 1947? 3, 11, 59 What are the prime factors of 1250? 2, 5 What are the prime factors of 3327? 3, 1109 List the prime factors of 3324. 2, 3, 277 List the prime factors of 39764. 2, 9941 What are the prime factors of 295? 5, 59 What are the prime factors of 4486? 2, 2243 What are the prime factors of 46615? 5, 9323 List the prime factors of 23622. 2, 3, 31, 127 List the prime factors of 20382. 2, 3, 43, 79 List the prime factors of 2554. 2, 1277 What are the prime factors of 3840? 2, 3, 5 List the prime factors of 795. 3, 5, 53 What are the prime factors of 16855? 5, 3371 List the prime factors of 551. 19, 29 List the prime factors of 1299. 3, 433 What are the prime factors of 129? 3, 43 List the prime factors of 1008. 2, 3, 7 List the prime factors of 43884. 2, 3, 23, 53 List the prime factors of 837. 3, 31 List the prime factors of 17119. 17, 19, 53 List the prime factors of 134. 2, 67 What are the prime factors of 51979? 59, 881 What are the prime factors of 10308? 2, 3, 859 What are the prime factors of 465? 3, 5, 31 List the prime factors of 99189. 3, 103, 107 List the prime factors of 75218. 2, 11, 13, 263 What are the prime factors of 11742? 2, 3, 19, 103 What are the prime factors of 995? 5, 199 What are the prime factors of 409? 409 What are the prime factors of 326? 2, 163 List the prime factors of 22002. 2, 3, 19, 193 List the prime factors of 27130. 2, 5, 2713 What are the prime factors of 5934? 2, 3, 23, 43 What are the prime factors of 1573? 11, 13 List the prime factors of 935. 5, 11, 17 List the prime factors of 3941. 7, 563 List the prime factors of 12800. 2, 5 What are the prime factors of 175869? 3, 19541 What are the prime factors of 12726? 2, 3, 7, 101 What are the prime factors of 2044? 2, 7, 73 List the prime factors of 5459. 53, 103 List the prime factors of 3028. 2, 757 What are the prime factors of 787? 787 What are the prime factors of 1651? 13, 127 What are the prime factors of 176481? 3, 19609 What are the prime factors of 35605? 5, 7121 List the prime factors of 1272. 2, 3, 53 What are the prime factors of 501? 3, 167 What are the prime factors of 588? 2, 3, 7 List the prime factors of 168. 2, 3, 7 What are the prime factors of 20367? 3, 31, 73 What are the prime factors of 290? 2, 5, 29 What are the prime factors of 493? 17, 29 List the prime factors of 14858. 2, 17, 19, 23 What are the prime factors of 7663? 79, 97 List the prime factors of 400. 2, 5 What are the prime factors of 161077? 7, 23011 List the prime factors of 17952. 2, 3, 11, 17 What are the prime factors of 998? 2, 499 List the prime factors of 6068. 2, 37, 41 List the prime factors of 530. 2, 5, 53 What are the prime factors of 1064? 2, 7, 19 What are the prime factors of 43138? 2, 21569 List the prime factors of 29947. 29947 What are the prime factors of 77926? 2, 47, 829 What are the prime factors of 3832? 2, 479 List the prime factors of 2649. 3, 883 List the prime factors of 3135. 3, 5, 11, 19 List the prime factors of 3264. 2, 3, 17 What are the prime factors of 2822? 2, 17, 83 List the prime factors of 717. 3, 239 List the prime factors of 984. 2, 3, 41 What are the prime factors of 11096? 2, 19, 73 List the prime factors of 1480. 2, 5, 37 List the prime factors of 1687. 7, 241 List the prime factors of 13119. 3, 4373 List the prime factors of 853. 853 What are the prime factors of 590? 2, 5, 59 List the prime factors of 277. 277 What are the prime factors of 28711? 28711 What are the prime factors of 82248? 2, 3, 23, 149 What are the prime factors of 403? 13, 31 What are the prime factors of 64923? 3, 17, 19, 67 What are the prime factors of 644? 2, 7, 23 List the prime factors of 3061. 3061 What are the prime factors of 23814? 2, 3, 7 List the prime factors of 57969. 3, 19, 113 List the prime factors of 1192. 2, 149 List the prime factors of 97043. 53, 1831 What are the prime factors of 2212? 2, 7, 79 What are the prime factors of 227? 227 List the prime factors of 17324. 2, 61, 71 What are the prime factors of 21719? 37, 587 What are the prime factors of 41042? 2, 20521 List the prime factors of 692. 2, 173 List the prime factors of 52572. 2, 3, 13, 337 List the prime factors of 12634. 2, 6317 List the prime factors of 14679. 3, 7, 233 List the prime factors of 54416. 2, 19, 179 List the prime factors of 692. 2, 173 List the prime factors of 7070. 2, 5, 7, 101 What are the prime factors of 59920? 2, 5, 7, 107 What are the prime factors of 481? 13, 37 What are the prime factors of 4446? 2, 3, 13, 19 List the prime factors of 52032. 2, 3, 271 What are the prime factors of 26617? 43, 619 What are the prime factors of 11868? 2, 3, 23, 43 List the prime factors of 1242. 2, 3, 23 List the prime factors of 20329. 29, 701 List the prime factors of 113. 113 What are the prime factors of 431? 431 What are the prime factors of 1057? 7, 151 What are the prime factors of 1197? 3, 7, 19 What are the prime factors of 15565? 5, 11, 283 List the prime factors of 5307. 3, 29, 61 What are the prime factors of 2772? 2, 3, 7, 11 What are the prime factors of 359? 359 What are the prime factors of 17722? 2, 8861 List the prime factors of 1293. 3, 431 What are the prime factors of 3081? 3, 13, 79 List the prime factors of 2640. 2, 3, 5, 11 List the prime factors of 557. 557 List the prime factors of 11314. 2, 5657 List the prime factors of 86408. 2, 7, 1543 What are the prime factors of 42590? 2, 5, 4259 List the prime factors of 3144. 2, 3, 131 List the prime factors of 29026. 2, 23, 631 List the prime factors of 2794. 2, 11, 127 List the prime factors of 822. 2, 3, 137 What are the prime factors of 3089? 3089 List the prime factors of 6911. 6911 What are the prime factors of 11489? 11489 What are the prime factors of 3423? 3, 7, 163 List the prime factors of 5426. 2, 2713 What are the prime factors of 2975? 5, 7, 17 List the prime factors of 10115. 5, 7, 17 What are the prime factors of 4408? 2, 19, 29 What are the prime factors of 60203? 11, 13, 421 What are the prime factors of 31509? 3, 389 What are the prime factors of 1596? 2, 3, 7, 19 What are the prime factors of 114145? 5, 37, 617 What are the prime factors of 5157? 3, 191 What are the prime factors of 2815? 5, 563 List the prime factors of 1259. 1259 What are the prime factors of 38660? 2, 5, 1933 What are the prime factors of 18730? 2, 5, 1873 What are the prime factors of 1852? 2, 463 What are the prime factors of 3204? 2, 3, 89 List the prime factors of 131101. 131101 What are the prime factors of 1392? 2, 3, 29 List the prime factors of 1560. 2, 3, 5, 13 List the prime factors of 15428. 2, 7, 19, 29 List the prime factors of 586. 2, 293 List the prime factors of 9288. 2, 3, 43 List the prime factors of 2138. 2, 1069 What are the prime factors of 1177? 11, 107 List the prime factors of 7521. 3, 23, 109 List the prime factors of 1036. 2, 7, 37 List the prime factors of 2288. 2, 11, 13 What are the prime factors of 1485? 3, 5, 11 What are the prime factors of 2537? 43, 59 What are the prime factors of 1643? 31, 53 List the prime factors of 6322. 2, 29, 109 List the prime factors of 1331. 11 What are the prime factors of 20157? 3, 6719 List the prime factors of 846. 2, 3, 47 What are the prime factors of 1112? 2, 139 What are the prime factors of 13499? 13499 What are the prime factors of 64950? 2, 3, 5, 433 What are the prime factors of 17273? 23, 751 List the prime factors of 29. 29 List the prime factors of 375. 3, 5 List the prime factors of 472. 2, 59 What are the prime factors of 2114? 2, 7, 151 List the prime fact
{ "pile_set_name": "DM Mathematics" }
is 654 less than -3.3? -657.3 What is -0.01407 plus -0.1? -0.11407 787 + -4.3 782.7 Work out -1428 - -0.2. -1427.8 What is 0.1 take away 34269? -34268.9 Sum 576.96 and -0.5. 576.46 Work out -1.3973 - -5. 3.6027 What is -1 less than -748456? -748455 Subtract 0.2 from -1.629. -1.829 What is 108 take away 948? -840 Put together 58 and 491. 549 Calculate -10 - 1119. -1129 What is 36.9 minus 6? 30.9 What is -7.9402 less than -4? 3.9402 What is 84998 + 20? 85018 Calculate 0.5 - -0.2505. 0.7505 Total of -0.1 and 22.189. 22.089 What is 0.5 - 0.1703? 0.3297 What is the difference between -0.2 and 3420875? 3420875.2 Calculate -26 - -0.0784. -25.9216 23.3+-72.5 -49.2 Work out -494 - 2.383. -496.383 -2.033 + 0.0553 -1.9777 Work out -0.12 - -50.31. 50.19 What is -24 take away 2500? -2524 What is -11.142 minus -9? -2.142 0 - 548 -548 -5 - -94.6 89.6 Work out -0.6 + 563101. 563100.4 Work out -1 - 396. -397 Calculate -0.111 + 2.94. 2.829 What is -31.19 + -61? -92.19 -15137+41 -15096 Work out -0.6454 + -1.06. -1.7054 Add together 825 and 361. 1186 Work out -1.67 - 3.4. -5.07 Add together -64 and 8.1. -55.9 Add together 261985 and -0.5. 261984.5 Sum 0.285 and -0.14. 0.145 -3 + 2920 2917 Add together 3.74 and 224.5. 228.24 What is 5647.24 plus 1.6? 5648.84 52 + 0.225 52.225 Add -14 and -781. -795 Calculate 620 - -0.17864. 620.17864 7.75 + -3.3 4.45 Put together -0.08718 and -2. -2.08718 What is -1259.7 minus -0.07? -1259.63 What is 0.2 take away -1779745? 1779745.2 -1 + 3736.5 3735.5 Add together 129.2873 and 5. 134.2873 What is -3.37 + 40? 36.63 Put together 2 and 363. 365 Sum 41.9 and 0.07. 41.97 -937 - 1 -938 Work out 149 - 2688. -2539 Add 0.4 and -33306.9. -33306.5 What is -0.1364 - -0.19? 0.0536 What is -0.3 take away 230? -230.3 8.6 + 6029 6037.6 Calculate 6 + 357597. 357603 Subtract 0.2 from -187.33. -187.53 What is 63693.4 minus -0.1? 63693.5 3860 - -0.3 3860.3 What is -580.0905 take away 0.4? -580.4905 Add together 0.146 and 250. 250.146 3 - 1961 -1958 3.3 + -641089 -641085.7 What is -0.0446 minus 0.8? -0.8446 Subtract 76 from -5.2. -81.2 What is -1263.5 plus -2? -1265.5 What is -1290 plus -1.61? -1291.61 Add together -1.42 and -0.27. -1.69 What is 4539 take away 5? 4534 What is -1.8 - 106? -107.8 Add together -10617 and 0.1. -10616.9 What is 2 - -119029? 119031 Work out 12 + 34727. 34739 Work out 0.643 - 1.778. -1.135 What is the difference between -837 and -3? 834 4199971+-0.2 4199970.8 What is the difference between -0.1227 and 1.21? 1.3327 Work out -0.36 - 801. -801.36 Work out 20.4 - 90.4. -70 What is -7209 less than 0.011? 7209.011 Add 0.053 and -0.048188. 0.004812 What is -1479 minus -2? -1477 -0.3 + -5367 -5367.3 What is 0.376 plus -0.3? 0.076 Add together 0.3 and -0.0801. 0.2199 What is 0 + -361? -361 384717 + 0.5 384717.5 71.68 - 4.2 67.48 Calculate -982 + -28. -1010 Add together -624 and 16. -608 Calculate 16 - 2337. -2321 Work out -0.15 + 632. 631.85 Calculate 1.4043 + 0.5. 1.9043 What is the difference between -8.45 and -166.4? 157.95 What is 0.6 + 147312? 147312.6 What is 5 minus -0.1275? 5.1275 Work out 33394 - 0.5. 33393.5 Calculate -14217 + 9. -14208 Add 31.94 and 3.4. 35.34 Calculate 1 + 2.46. 3.46 What is 2625 less than 33.32? -2591.68 Add together -1.069 and 0.0651. -1.0039 686101+3 686104 What is -6.51 take away 51? -57.51 127+-272 -145 Total of 0.8 and 0.2. 1 Subtract -0.2 from -0.783839. -0.583839 What is the distance between 0.95 and -901? 901.95 What is -177 less than -78? 99 What is -7530923 minus -0.3? -7530922.7 Calculate -6.03 + -5. -11.03 Calculate -0.16 - -218. 217.84 Work out 0.1 + -6830.2. -6830.1 Work out -9440 - -0.095. -9439.905 -6 + 0.0298 -5.9702 Total of -89 and -853. -942 0.0329+0.17 0.2029 Total of 0.044 and 101. 101.044 8293 + 0.0286 8293.0286 483+4 487 What is 0.2 - 2.6? -2.4 7.749 - 0.06 7.689 -4 - -4327 4323 What is 0.0465 take away -0.223? 0.2695 -0.4+-610 -610.4 Subtract 5 from 171686. 171681 Calculate 0.014 - -1.6. 1.614 Put together -0.07 and 59713. 59712.93 Subtract 1.6 from -0.27483. -1.87483 Calculate 0.514 + -0.087. 0.427 Add together 16.441 and -0.26. 16.181 What is 10 minus 22? -12 Subtract -50382 from -2. 50380 Add together -6122.04 and 1. -6121.04 Calculate 0.027 + 2416. 2416.027 What is 20 minus 7? 13 -3 + -77487 -77490 What is 3.52 minus 197? -193.48 What is -2213902 minus 3? -2213905 -7 + -920.5 -927.5 Total of -19 and 0.98. -18.02 Subtract -30.35 from 2. 32.35 Sum 0.9072 and -50. -49.0928 What is 0.1 plus 95.18? 95.28 Work out 0.5 + 257. 257.5 What is -569 take away -4.1? -564.9 What is the distance between 0.1 and -2318? 2318.1 Sum -485 and -0.49. -485.49 What is -0.6 take away 1.68687? -2.28687 What is 0.51 - 17.69? -17.18 Work out 0.2 - -3.1789. 3.3789 What is -0.0433692 plus 0.2? 0.1566308 Work out 0.75941 + 5. 5.75941 Sum -0.578 and 9.35. 8.772 What is the difference between -0.3 and -1.128? 0.828 0.03731+-0.584 -0.54669 Add 0.2929 and 0.12. 0.4129 Calculate 1.9 - 64. -62.1 -2511 - -4.2 -2506.8 Work out 10 + -0.02. 9.98 What is -10010.8 plus -0.3? -10011.1 Work out -0.3 + -89129. -89129.3 What is -1068514 less than 0.1? 1068514.1 What is -653.3 take away -0.1? -653.2 What is -2 plus 3.476? 1.476 Work out 77 + 0.054. 77.054 What is -0.134 minus -4.26? 4.126 What is the distance between -90 and 13.5? 103.5 Calculate -138573.3 - -9. -138564.3 0.5 + 3951 3951.5 Total of 1877.61 and 8. 1885.61 What is the distance between 0.422 and 16.15? 15.728 What is the difference between 43 and -0.284? 43.284 Add -14883 and -118. -15001 Total of 374 and -0.0939. 373.9061 What is -4 + -87? -91 What is 12581 take away 0.5? 12580.5 55.33 - 0.5 54.83 Subtract -142 from -0.158. 141.842 What is -59 plus -7176? -7235 Work out -0.033729 - 4. -4.033729 -0.03+14 13.97 Work out 21 + 4709.7. 4730.7 Work out -0.8 + -0.23206. -1.03206 Calculate -14135 - -4. -14131 What is 26 minus -554? 580 Add 0.1 and -0.1080979. -0.0080979 0.27 + -0.43 -0.16 What is -1.3 - -0.93239? -0.36761 4+169.1 173.1 Subtract 78 from -1.1. -79.1 What is 38676 minus -1? 38677 Work out -0.07 - 6778. -6778.07 What is 775462 minus 5? 775457 1.927 - -0.3 2.227 Put together 657 and -3. 654 What is the difference between 4502 and 0.4? 4501.6 3.5 + 0.1 3.6 Subtract 35499 from 46.3. -35452.7 Calculate -1.3873 - 0.3. -1.6873 -11 - -369 358 Put together -793 and -670. -1463 Calculate 3.7568 + 5. 8.7568 2 + 7588 7590 Work out -0.03458 - 33.5. -33.53458 Add together -0.5 and 68938.2. 68937.7 Subtract 2.1471 from 0. -2.1471 Calculate 3326.9 - -0.1. 3327 Total of -619 and 841. 222 What is -3 - -38.4? 35.4 Calculate -5 - -14119. 14114 What is 0.7 plus -3.14393? -2.44393 What is the difference between 5 and -467351? 467356 -0.1+-103713 -103713.1 -46+421 375 4.97063 - 0.3 4.67063 -4132 - -0.66 -4131.34 Subtract 747 from 0.087. -746.913 What is -6440 take away 2? -6442 Calculate 6689 + 4. 6693 Calculate 14199 + -159. 14040 What is -8.6 less than 0.6? 9.2 Work out -107316 + 1.9. -107314.1 Sum -0.0101 and 1091. 1090.9899 Add together 3 and -758. -755 Calculate 7534 + -0.093. 7533.907 -2.85+0.4 -2.45 Work out -0.03 + 2494. 2493.97 What is 0.3 - 6556? -6555.7 0.128 + 0.5 0.628 -0.15626 - -0.338 0.18174 What is -0.048 take away 44? -44.048 What is -47 minus 18.1? -65.1 Work out 0.11 + -0.010734. 0.099266 256 - 51647 -51391 What is -216523 plus -0.1? -216523.1 Calculate -5 - -0.20347. -4.79653 Work out -0.2 - -915. 914.8 -4091.9 + -7 -4098.9 -2 - -0.52593 -1.47407 Sum -2819 and 2. -2817 What is -77416 take away 4? -77420 What is -0.05 + -1.13? -1.18 What is 2.95 + -12? -9.05 What is 5.6 take away -39? 44.6 What is 3.843 plus 0.07? 3.913 Add together 3737 and -0.037. 3736.963 What is 3.85 less than 503.9? 500.05 Work out 5 - 1621.19. -1616.19 Calculate -1.098 + -1312.7. -1313.798 Add -0.1 and -8099. -8099.1 Subtract -39.2 from -7.2. 32 23.87 - 27 -3.13 Add 94.6 and 1026. 1120.6 Put together 0.23 and -0.1056. 0.1244 Add together -4.72038 and 0. -4.72038 What is the distance between -937 and 38? 975 What is 19 + -0.011519? 18.988481 Total of 2 and -19559. -19557 What is 26 take away 4340? -4314 Add together 1.8 and -221. -219.2 What is the difference between -824 and 369? 1193 Subtract 108 from 0.066. -107.934 What is the distance between -82435 and 20? 82455 What is
{ "pile_set_name": "DM Mathematics" }
aces? -0.011602 What is -0.581693 rounded to two decimal places? -0.58 Round 0.00010649364 to 6 dps. 0.000106 Round -91101400 to the nearest 100000. -91100000 Round 2.0858564 to two decimal places. 2.09 Round -0.0003416138 to three decimal places. 0 What is 125550.2 rounded to the nearest one thousand? 126000 Round -0.00000511012 to 6 dps. -0.000005 Round 1667017 to the nearest one hundred thousand. 1700000 What is 0.0001695264 rounded to 7 decimal places? 0.0001695 Round -0.018294006 to 4 dps. -0.0183 Round -0.007809353 to five decimal places. -0.00781 What is -258.2977 rounded to the nearest ten? -260 What is 12.87745 rounded to two decimal places? 12.88 What is -1053.881 rounded to the nearest 100? -1100 Round 0.00002258745 to 7 decimal places. 0.0000226 Round -0.011584 to 4 dps. -0.0116 Round -1487.698 to the nearest one hundred. -1500 What is -0.27909 rounded to 0 decimal places? 0 What is -0.003384353 rounded to 3 decimal places? -0.003 Round 0.0857532 to 4 dps. 0.0858 What is 54.17324 rounded to the nearest ten? 50 Round 19165500 to the nearest one hundred thousand. 19200000 What is 233692 rounded to the nearest 1000? 234000 Round 0.000024320017 to 7 decimal places. 0.0000243 What is 0.001845321 rounded to 5 dps? 0.00185 Round 4820.05 to the nearest ten. 4820 Round 0.845848 to one dp. 0.8 Round 0.00555032 to 3 dps. 0.006 What is 0.0035005376 rounded to five decimal places? 0.0035 Round 475665.4 to the nearest ten thousand. 480000 Round -5318.06 to the nearest ten. -5320 What is 0.05056375 rounded to 3 dps? 0.051 Round 0.925165 to 2 decimal places. 0.93 Round 2510649 to the nearest 100000. 2500000 Round -0.403342 to 3 dps. -0.403 Round 0.777295 to 3 dps. 0.777 What is -0.0022225921 rounded to 3 dps? -0.002 Round 418663200 to the nearest 1000000. 419000000 What is -19516.669 rounded to the nearest one hundred? -19500 What is -0.0392445 rounded to 3 dps? -0.039 What is -1325343 rounded to the nearest one hundred thousand? -1300000 What is -68.9295 rounded to zero dps? -69 Round -35.72 to the nearest integer. -36 Round 224216000 to the nearest 1000000. 224000000 What is 247944000 rounded to the nearest 100000? 247900000 Round -0.013999975 to 6 dps. -0.014 Round -7931.65 to the nearest 1000. -8000 Round -59706710 to the nearest 100000. -59700000 Round -3.59414 to one decimal place. -3.6 Round -3714990 to the nearest 100000. -3700000 What is 0.05377662 rounded to 2 decimal places? 0.05 Round 1.4039823 to two decimal places. 1.4 What is 38.01671 rounded to the nearest integer? 38 Round 43.203772 to 0 dps. 43 What is -0.0066735 rounded to 0 dps? 0 What is -0.0807334 rounded to 4 dps? -0.0807 Round 2982.73 to the nearest 10. 2980 What is -0.1466177 rounded to two decimal places? -0.15 What is -1102.28 rounded to the nearest 1000? -1000 What is -0.00000336748 rounded to 6 decimal places? -0.000003 What is 0.05271138 rounded to four dps? 0.0527 Round -0.03453008 to 3 decimal places. -0.035 What is 102.03447 rounded to zero dps? 102 What is 0.0547207 rounded to four decimal places? 0.0547 Round 0.083233 to one dp. 0.1 What is 63.53741 rounded to the nearest ten? 60 What is -8.20246 rounded to one decimal place? -8.2 What is 0.00000438689 rounded to 7 dps? 0.0000044 What is -17706800 rounded to the nearest 1000000? -18000000 Round -11777.038 to the nearest 10000. -10000 What is 0.3276687 rounded to four decimal places? 0.3277 Round -5.715533 to three dps. -5.716 What is 3894908 rounded to the nearest one thousand? 3895000 What is -1267.09 rounded to the nearest 100? -1300 What is -0.011887647 rounded to 3 dps? -0.012 What is 534491 rounded to the nearest one thousand? 534000 What is 361996 rounded to the nearest one hundred thousand? 400000 What is -0.007561613 rounded to three dps? -0.008 Round 1489240 to the nearest 100000. 1500000 Round 25.578544 to 0 dps. 26 Round -0.000943476 to 4 decimal places. -0.0009 What is -10100.98 rounded to the nearest one thousand? -10000 Round 10892470 to the nearest 1000000. 11000000 Round 0.00002816222 to 6 dps. 0.000028 What is 1287.8071 rounded to zero decimal places? 1288 What is -0.0000220932 rounded to 6 dps? -0.000022 Round -0.00017964063 to 5 dps. -0.00018 Round 3798830 to the nearest 1000. 3799000 What is -6.15451 rounded to one dp? -6.2 Round -0.7463153 to 3 decimal places. -0.746 What is 60.28595 rounded to the nearest integer? 60 What is -1396043000 rounded to the nearest 1000000? -1396000000 What is 0.00518898 rounded to 5 decimal places? 0.00519 What is -0.14137112 rounded to two decimal places? -0.14 Round -2.508534 to three decimal places. -2.509 Round 164.086 to the nearest 1000. 0 Round 1126.61 to the nearest integer. 1127 What is 214647.2 rounded to the nearest 100? 214600 Round -2461.491 to the nearest 10. -2460 What is -0.101993 rounded to three decimal places? -0.102 Round 17105.19 to the nearest 100. 17100 Round -3772232 to the nearest 1000000. -4000000 What is -3718213 rounded to the nearest ten thousand? -3720000 What is -0.04267028 rounded to five dps? -0.04267 What is -0.000233323 rounded to five dps? -0.00023 Round -0.000105116 to 6 dps. -0.000105 What is -0.01871144 rounded to four dps? -0.0187 Round -515.5285 to the nearest ten. -520 Round -152.631 to the nearest one hundred. -200 What is 773838600 rounded to the nearest one hundred thousand? 773800000 What is 187.61 rounded to the nearest 10? 190 Round -0.0000012221743 to seven dps. -0.0000012 Round 0.000947025 to four decimal places. 0.0009 What is 0.0030119093 rounded to 6 dps? 0.003012 Round 0.00001477464 to seven decimal places. 0.0000148 What is -3.76612 rounded to 1 decimal place? -3.8 Round -25.717 to the nearest 10. -30 What is -0.000370546 rounded to six decimal places? -0.000371 What is 205657 rounded to the nearest one thousand? 206000 What is 2.6126 rounded to 1 decimal place? 2.6 What is -11640352 rounded to the nearest one million? -12000000 What is -70300000 rounded to the nearest 1000000? -70000000 What is -0.00707789 rounded to four dps? -0.0071 What is -3.452784 rounded to 1 decimal place? -3.5 Round -83160.13 to the nearest 100. -83200 Round -0.0006971712 to 4 dps. -0.0007 Round -1716.6 to the nearest 1000. -2000 Round -1.7078178 to 2 dps. -1.71 What is -0.0005708738 rounded to 5 dps? -0.00057 What is -0.000053008952 rounded to 5 dps? -0.00005 What is 8.29858 rounded to 1 dp? 8.3 Round -2.45001 to one dp. -2.5 What is 0.112828 rounded to 2 dps? 0.11 Round -0.00024772175 to 6 dps. -0.000248 What is 401340.4 rounded to the nearest 100? 401300 Round -232684 to the nearest 1000. -233000 What is 0.8811017 rounded to 3 decimal places? 0.881 What is -18.366104 rounded to the nearest integer? -18 Round -0.0006753486 to 4 dps. -0.0007 Round 2488.729 to the nearest 100. 2500 What is -349575000 rounded to the nearest one hundred thousand? -349600000 Round -547017.1 to the nearest 10000. -550000 Round -0.131545 to 2 dps. -0.13 Round -112.882 to the nearest ten. -110 What is 0.3409 rounded to three dps? 0.341 Round -80514.61 to the nearest ten. -80510 What is 1562067 rounded to the nearest 10000? 1560000 Round -54296.9 to the nearest ten thousand. -50000 What is -49.3472 rounded to the nearest ten? -50 What is 22.74374 rounded to one decimal place? 22.7 Round -0.35874228 to 4 dps. -0.3587 Round 906042000 to the nearest one million. 906000000 Round -0.0009687316 to 7 dps. -0.0009687 What is -181932.72 rounded to the nearest 1000? -182000 What is 512.2429 rounded to the nearest integer? 512 Round 0.0000101337 to 5 decimal places. 0.00001 What is 0.00010381 rounded to four decimal places? 0.0001 Round 0.000055274227 to 5 dps. 0.00006 What is 0.0000072507 rounded to 7 dps? 0.0000073 What is 12477.5 rounded to the nearest 10? 12480 Round -142196 to the nearest 100000. -100000 Round 0.016903 to 4 decimal places. 0.0169 Round -4899.44 to the nearest 100. -4900 Round -606896 to the nearest one thousand. -607000 What is -274209 rounded to the nearest one hundred thousand? -300000 What is 17600.872 rounded to the nearest 1000? 18000 What is -185860 rounded to the nearest one hundred thousand? -200000 Round -35890350 to the nearest ten thousand. -35890000 What is 927534 rounded to the nearest 10000? 930000 Round -0.515703 to 1 dp. -0.5
{ "pile_set_name": "DM Mathematics" }
500 How many years are there in 5.088403 centuries? 508.8403 What is 2.191776l in millilitres? 2191.776 How many weeks are there in 14652642.69us? 0.000024227253125 What is 11/2 of a gram in milligrams? 5500 Convert 222498.495ms to days. 0.0025752140625 How many seconds are there in 913357.3 hours? 3288086280 Convert 515.7622 nanograms to tonnes. 0.0000000000005157622 What is thirteen eighths of a litre in millilitres? 1625 How many kilograms are there in 6.895681 nanograms? 0.000000000006895681 How many litres are there in 729451.6ml? 729.4516 What is 425.1223cm in meters? 4.251223 What is 0.7952742t in grams? 795274.2 What is 10.794342 months in decades? 0.08995285 How many nanograms are there in 899.5823 tonnes? 899582300000000000 How many nanometers are there in 205142.3 centimeters? 2051423000000 How many nanoseconds are there in seven eighths of a microsecond? 875 How many months are there in 1/16 of a century? 75 Convert 0.203474 millilitres to litres. 0.000203474 What is ten sevenths of a week in minutes? 14400 What is seven eighths of a week in minutes? 8820 Convert 863.763 kilometers to nanometers. 863763000000000 What is 1073.3895 hours in days? 44.7245625 How many litres are there in 42.36482 millilitres? 0.04236482 Convert 6241.318 nanograms to grams. 0.000006241318 What is 13/4 of a kilogram in grams? 3250 Convert 122936.8 hours to minutes. 7376208 How many nanometers are there in 1/16 of a millimeter? 62500 What is thirteen quarters of a millimeter in micrometers? 3250 Convert 628.827 millimeters to nanometers. 628827000 How many millennia are there in 4772.72 years? 4.77272 How many kilograms are there in eighteen fifths of a tonne? 3600 How many nanograms are there in 0.7539094mg? 753909.4 What is eighteen fifths of a milligram in micrograms? 3600 What is 666493.8 centuries in millennia? 66649.38 How many millilitres are there in one twentieth of a litre? 50 Convert 1263.861 months to centuries. 1.0532175 What is five quarters of a litre in millilitres? 1250 What is twenty-six fifths of a gram in milligrams? 5200 How many seconds are there in 3/32 of a week? 56700 Convert 4.816768 millennia to decades. 481.6768 Convert 803.9272 kilograms to milligrams. 803927200 How many centimeters are there in 580.4834km? 58048340 How many grams are there in 0.110129ng? 0.000000000110129 How many nanometers are there in 1/5 of a micrometer? 200 How many months are there in 6/5 of a century? 1440 How many tonnes are there in 0.2587901 kilograms? 0.0002587901 How many milligrams are there in one tenth of a kilogram? 100000 Convert 472.2684ug to grams. 0.0004722684 How many millilitres are there in one quarter of a litre? 250 What is 77435.5 meters in micrometers? 77435500000 What is 13/4 of a kilogram in grams? 3250 How many micrograms are there in six fifths of a milligram? 1200 How many days are there in 389.81511 minutes? 0.2707049375 What is one tenth of a tonne in kilograms? 100 How many kilometers are there in 3.374024nm? 0.000000000003374024 Convert 463.5047 tonnes to grams. 463504700 How many months are there in sixty-two thirds of a decade? 2480 How many meters are there in twenty-one halves of a kilometer? 10500 What is 1585.189 kilometers in centimeters? 158518900 How many millilitres are there in 0.1874574 litres? 187.4574 What is 18/5 of a decade in months? 432 How many seconds are there in one tenth of a day? 8640 How many millilitres are there in three eighths of a litre? 375 How many decades are there in 19661.03 millennia? 1966103 How many meters are there in 57/5 of a kilometer? 11400 Convert 7.48554 millilitres to litres. 0.00748554 How many nanometers are there in 0.2669631 kilometers? 266963100000 What is fifteen quarters of a meter in millimeters? 3750 How many weeks are there in 232165.08 hours? 1381.935 How many months are there in 3/8 of a millennium? 4500 How many litres are there in 0.7312389 millilitres? 0.0007312389 Convert 19675.18 decades to millennia. 196.7518 What is 888315.4 nanograms in grams? 0.0008883154 Convert 8.77417 kilometers to nanometers. 8774170000000 What is 0.365672 minutes in nanoseconds? 21940320000 Convert 0.8954877 years to centuries. 0.008954877 How many litres are there in 94.24631ml? 0.09424631 How many months are there in 0.4838242 centuries? 580.58904 How many centimeters are there in 50.21911 meters? 5021.911 How many months are there in 5/8 of a century? 750 How many seconds are there in 529092.2ms? 529.0922 What is three tenths of a litre in millilitres? 300 What is 1/10 of a meter in millimeters? 100 How many millilitres are there in 25/4 of a litre? 6250 What is 1/10 of a microgram in nanograms? 100 What is 37/2 of a litre in millilitres? 18500 How many minutes are there in seventy-one fifths of a day? 20448 What is 14.92564 years in decades? 1.492564 How many millilitres are there in seven halves of a litre? 3500 What is 51/4 of a meter in millimeters? 12750 How many years are there in twenty-one fifths of a century? 420 What is 0.607675 micrograms in milligrams? 0.000607675 What is 71.64805 weeks in minutes? 722212.344 How many months are there in 25.17657 years? 302.11884 Convert 2.109642ml to litres. 0.002109642 How many months are there in 1/24 of a decade? 5 Convert 7853.929 litres to millilitres. 7853929 What is 53/5 of a microgram in nanograms? 10600 Convert 342346.5 days to nanoseconds. 29578737600000000000 What is seven quarters of a millennium in decades? 175 Convert 80.91325mg to grams. 0.08091325 Convert 56.4782 centuries to millennia. 5.64782 What is 226.8298 grams in tonnes? 0.0002268298 What is three eighths of a week in minutes? 3780 What is 3/25 of a microsecond in nanoseconds? 120 What is 29621.82 kilograms in nanograms? 29621820000000000 How many micrograms are there in thirty-four fifths of a milligram? 6800 How many nanoseconds are there in 919539.5s? 919539500000000 Convert 8752.296 centuries to years. 875229.6 Convert 74815.61 tonnes to milligrams. 74815610000000 What is twenty-six fifths of a milligram in micrograms? 5200 How many centimeters are there in one tenth of a kilometer? 10000 How many milligrams are there in 3/5 of a gram? 600 How many seconds are there in one sixth of a hour? 600 Convert 43.19505um to meters. 0.00004319505 What is 0.0344281 millilitres in litres? 0.0000344281 What is 576194.2t in nanograms? 576194200000000000000 What is six fifths of a litre in millilitres? 1200 How many millilitres are there in eleven tenths of a litre? 1100 How many meters are there in 71933.47cm? 719.3347 Convert 3.61078 decades to months. 433.2936 Convert 911711.1 nanometers to kilometers. 0.0000009117111 What is 975.6073ug in kilograms? 0.0000009756073 How many decades are there in 822.0392 centuries? 8220.392 How many micrometers are there in 921.8042 meters? 921804200 What is twenty-nine fifths of a hour in seconds? 20880 What is 9593.386l in millilitres? 9593386 How many decades are there in 394244.3 years? 39424.43 What is nineteen quarters of a meter in millimeters? 4750 What is 6/25 of a centimeter in micrometers? 2400 What is 370.2131 kilometers in millimeters? 370213100 How many meters are there in 1/5 of a kilometer? 200 How many nanograms are there in 5.983264ug? 5983.264 What is 77/2 of a century in months? 46200 Convert 85805.8 litres to millilitres. 85805800 How many milligrams are there in 12/25 of a gram? 480 What is 11/2 of a litre in millilitres? 5500 Convert 532.7922 tonnes to nanograms. 532792200000000000 What is 1/4 of a milligram in micrograms? 250 What is one sixteenth of a millisecond in nanoseconds? 62500 How many nanometers are there in 971172.9 millimeters? 971172900000 How many months are there in 13/5 of a decade? 312 What is 22.0343 hours in milliseconds? 79323480 How many micrometers are there in 9/10 of a centimeter? 9000 What is eighty ninths of a week in minutes? 89600 What is 9624.431mm in centimeters? 962.4431 What is 569046.3km in centimeters? 56904630000 Convert 338.554 litres to millilitres. 338554 What is one fifth of a litre in millilitres? 200 What is 1715.9064 months in decades? 14.29922 Convert 675.8125ml to litres. 0.6758125 What is 72/5 of a litre in millilitres? 14400 How many nanometers are there in 5/4 of a
{ "pile_set_name": "DM Mathematics" }
of -191/48510 and 185/90552. 1358280 Find the common denominator of -97/11398 and 49/139. 11398 What is the smallest common multiple of 11808 and 369? 11808 Calculate the common denominator of -79/274275 and 149/300. 1097100 Calculate the common denominator of 113/48 and -1/10166. 243984 Calculate the smallest common multiple of 2 and 50942. 50942 Calculate the smallest common multiple of 85158 and 6. 85158 Calculate the lowest common multiple of 33 and 47181. 518991 Calculate the common denominator of 16/33 and 145/146724. 1613964 Calculate the smallest common multiple of 84216 and 30. 421080 Calculate the lowest common multiple of 2175 and 25. 2175 Calculate the least common multiple of 35329 and 186739. 1307173 What is the smallest common multiple of 258 and 544? 70176 Calculate the smallest common multiple of 276 and 178. 24564 Calculate the least common multiple of 460 and 1173. 23460 What is the least common multiple of 743560 and 743560? 743560 Find the common denominator of -35/15276 and 37/61104. 61104 Find the common denominator of -21/40612 and -25/1704. 243672 Calculate the smallest common multiple of 20 and 714. 7140 Calculate the smallest common multiple of 900 and 102. 15300 Calculate the least common multiple of 7209 and 99. 79299 Calculate the common denominator of 67/47288 and 79/506. 520168 Find the common denominator of 31/9768 and 49/444. 9768 What is the lowest common multiple of 1160 and 109040? 109040 What is the least common multiple of 756 and 144? 3024 Find the common denominator of 37/110 and -37/31330. 344630 What is the least common multiple of 10060 and 84504? 422520 What is the lowest common multiple of 6336 and 132? 6336 Calculate the lowest common multiple of 6165 and 1440. 197280 What is the least common multiple of 549 and 99? 6039 Calculate the common denominator of 19/64 and 23/31960. 255680 What is the least common multiple of 630 and 602? 27090 What is the lowest common multiple of 81 and 5313? 143451 What is the lowest common multiple of 3364 and 190? 319580 What is the least common multiple of 3113 and 71882? 790702 Calculate the smallest common multiple of 3618 and 4020. 36180 Calculate the least common multiple of 1926 and 3. 1926 Calculate the lowest common multiple of 569200 and 50. 569200 Calculate the least common multiple of 200 and 1405. 56200 Calculate the least common multiple of 10 and 63945. 127890 What is the lowest common multiple of 2 and 5542952? 5542952 Calculate the smallest common multiple of 269870 and 55. 2968570 Calculate the common denominator of -29/198130 and -111/40. 792520 Find the common denominator of 3/27236 and 23/3714. 81708 What is the common denominator of 69/9212 and -61/3920? 184240 What is the least common multiple of 1050 and 22750? 68250 Calculate the smallest common multiple of 3393 and 13195. 118755 What is the lowest common multiple of 19712 and 168? 59136 Calculate the common denominator of -79/123564 and -111/1647520. 4942560 Find the common denominator of 23/8 and -85/13696. 13696 Calculate the least common multiple of 104673 and 15. 523365 What is the smallest common multiple of 16611 and 490? 166110 What is the least common multiple of 12760 and 928? 51040 Find the common denominator of 113/438 and 37/4380. 4380 Calculate the common denominator of -97/72472 and -39/11. 797192 What is the common denominator of -37/18425 and -23/2010? 110550 What is the common denominator of 187/30 and 33/23920? 71760 What is the smallest common multiple of 1775766 and 10? 8878830 Find the common denominator of -51/317 and -101/872384. 872384 What is the common denominator of -21/31405 and 18/31405? 31405 Calculate the least common multiple of 72 and 54162. 216648 What is the common denominator of 59/30 and 43/2072454? 10362270 Calculate the least common multiple of 2497032 and 17121. 32461416 What is the lowest common multiple of 24640 and 24640? 24640 What is the common denominator of -33/632 and 23/434? 137144 What is the smallest common multiple of 165 and 160245? 1762695 Calculate the common denominator of 87/476 and 59/5644. 39508 Calculate the least common multiple of 432540 and 540. 432540 What is the common denominator of -1/28 and -23/11444? 80108 Calculate the least common multiple of 180 and 14440. 129960 What is the least common multiple of 89964 and 2646? 89964 Calculate the common denominator of 83/372 and 103/106578. 213156 Calculate the smallest common multiple of 9984 and 32. 9984 Calculate the lowest common multiple of 224 and 4213. 943712 Find the common denominator of -13/24 and 71/711920. 2135760 Calculate the smallest common multiple of 291834 and 75. 7295850 What is the common denominator of 49/56064 and 11/59568? 953088 Calculate the smallest common multiple of 43220 and 140. 302540 Calculate the smallest common multiple of 2250 and 850. 38250 Find the common denominator of -37/68464 and 11/1556. 68464 Find the common denominator of 145/228 and -23/24876. 472644 What is the smallest common multiple of 13468 and 962? 13468 Calculate the least common multiple of 560 and 3440. 24080 Calculate the common denominator of -35/11 and -11/314. 3454 Calculate the least common multiple of 11123 and 9. 100107 Calculate the common denominator of -71/1200 and 61/428520. 4285200 Calculate the common denominator of -19/424337 and -25/4. 1697348 Calculate the common denominator of -3/229 and 14/13711. 3139819 What is the least common multiple of 24217 and 2989? 1186633 Calculate the lowest common multiple of 48 and 1476. 5904 What is the common denominator of -21/40090 and 53/2? 40090 Calculate the common denominator of -22/23275 and 65/3724. 93100 Find the common denominator of -121/6410 and 21/112816. 564080 Find the common denominator of 83/30 and 61/945. 1890 Calculate the common denominator of -17/150 and -67/1950. 1950 Calculate the common denominator of 17/910 and 83/8. 3640 What is the smallest common multiple of 43874 and 14? 307118 What is the lowest common multiple of 20 and 17920? 17920 Calculate the least common multiple of 7 and 1978627. 1978627 What is the least common multiple of 1625531 and 4169? 17880841 Calculate the smallest common multiple of 88416 and 8. 88416 What is the lowest common multiple of 225 and 65860? 2963700 What is the least common multiple of 1248 and 804? 83616 Calculate the smallest common multiple of 124971 and 68166. 749826 Calculate the least common multiple of 495 and 1067. 48015 What is the least common multiple of 14196 and 120666? 241332 Find the common denominator of 29/20400 and 59/24480. 122400 Calculate the smallest common multiple of 5208 and 238. 88536 Calculate the least common multiple of 951 and 15. 4755 What is the common denominator of 1/1716 and -46/3267? 169884 Calculate the smallest common multiple of 80426 and 402130. 402130 Calculate the least common multiple of 52012 and 130030. 260060 Calculate the common denominator of 167/65610 and 1/26. 852930 What is the common denominator of 67/96698 and -43/16? 773584 Calculate the lowest common multiple of 91 and 1079. 7553 Calculate the least common multiple of 56305 and 15. 168915 What is the least common multiple of 5391 and 22095? 13234905 Calculate the common denominator of 15/1504 and 53/5264. 10528 What is the lowest common multiple of 1245036 and 18044? 1245036 Find the common denominator of -1/1768 and 79/16796. 33592 Find the common denominator of 29/18 and -149/1521816. 4565448 Find the common denominator of 63/4 and -49/666. 1332 What is the least common multiple of 857582 and 85? 4287910 Calculate the smallest common multiple of 100 and 29. 2900 Find the common denominator of -143/133176 and 25/6696. 1198584 What is the lowest common multiple of 58 and 236? 6844 Calculate the common denominator of 74/105 and 11/12516. 62580 Calculate the common denominator of 105/572 and 7/83. 47476 What is the least common multiple of 892 and 938? 418348 What is the least common multiple of 982650 and 50? 982650 Calculate the least common multiple of 5792 and 14480. 28960 Calculate the smallest common multiple of 42408 and 54. 127224 What is the common denominator of 73/65666 and -1/5? 328330 Calculate the lowest common multiple of 5722 and 45776. 45776 Calculat
{ "pile_set_name": "DM Mathematics" }
6). 5 Let t(y) = -y**3 + 520*y**2 + 8459*y + 62706. Determine t(536). -6 Let j(r) = -543*r - 5422. What is j(-10)? 8 Let d(l) = -l**3 + 44*l**2 + 1544*l + 61. Give d(-23). -8 Let h(f) = f**2 - 69*f + 1047. Calculate h(64). 727 Let c(x) = x**3 - 87*x**2 - 655*x - 270. Give c(94). 12 Let g(h) = -3*h**3 - 439*h**2 - 584*h - 474. Give g(-145). 106 Let u(t) = -2845*t**2 - 7*t + 6. What is u(1)? -2846 Let v(b) = 11417*b + 3836092. Calculate v(-336). -20 Let m(c) = 16359*c + 163567. Give m(-10). -23 Let m(c) = 2536*c - 114104. Determine m(45). 16 Let s(p) = -111*p**2 + 2*p - 41. Give s(3). -1034 Let h(m) = 4*m**3 + 183*m**2 + 306*m - 285. Give h(-44). -197 Let i(n) = -8610*n + 223760. Give i(26). -100 Let r(o) = -58*o**2 - 390*o + 1156. Determine r(3). -536 Let u(n) = 256927*n - 1541550. Calculate u(6). 12 Let h(z) = 25210*z + 74438. Calculate h(-3). -1192 Let n(c) = -c**3 - 38*c**2 - c + 5456. Give n(-33). 44 Let t(z) = -z**2 - 41272*z + 206351. Calculate t(5). -34 Let v(c) = 860*c - 40443. Give v(47). -23 Let d(a) = -952*a**2 - 41885*a + 91. Give d(-44). -41 Let b(s) = s**3 + 366*s**2 - 1496*s - 5914. What is b(-370)? 6 Let x(r) = -r**2 + 27*r + 487. Give x(29). 429 Let f(i) = i**2 - 68*i - 1961. Determine f(83). -716 Let y(z) = -70*z**2 - 3004*z - 287. Determine y(-43). -545 Let j(q) = 112*q + 3610. What is j(-36)? -422 Let b(g) = -1901*g + 136656. What is b(71)? 1685 Let x(h) = -h**3 + 26*h**2 - 70*h - 1216. Give x(19). -19 Let r(q) = -q**3 + 61*q**2 + 7110*q + 1779. What is r(-59)? 9 Let o(d) = -d**3 + 20*d**2 - 6*d - 176. Calculate o(10). 764 Let b(p) = 4*p**2 - 582*p + 2939. What is b(141)? 401 Let d(v) = -v**2 - 124*v + 35152. Determine d(134). 580 Let h(x) = -2*x**3 + 36*x**2 - 123*x + 2128. Give h(18). -86 Let c(f) = 781*f + 66754. Calculate c(-86). -412 Let c(p) = -1895*p + 66276. Give c(35). -49 Let r(u) = -3*u**2 + 118*u - 15. What is r(0)? -15 Let z(s) = 58*s**2 - 11092*s + 2676. Determine z(191). 2 Let l(g) = g**3 + 124*g**2 - 14*g - 382. Determine l(-124). 1354 Let f(h) = 101*h**2 - 176*h + 71. Calculate f(1). -4 Let r(q) = 33*q**3 + 357*q**2 - 385*q - 3515. Give r(-11). -6 Let a(d) = -1072*d**2 + 10695*d - 36. What is a(10)? -286 Let c(g) = -6*g**2 - 429*g - 302. Give c(-74). -1412 Let i(j) = j**3 + 263*j**2 + 2835*j - 44419. What is i(-251)? 8 Let o(x) = -19932*x - 996617. Calculate o(-50). -17 Let s(g) = 274*g + 47250. Calculate s(-172). 122 Let c(w) = w**3 + 7*w**2 - 57*w - 348. Calculate c(-8). 44 Let c(a) = -a**3 + 13*a**2 - 141*a + 1697. Give c(13). -136 Let z(o) = -2*o**3 + 8*o**2 - 4993*o + 30072. Determine z(6). -30 Let n(t) = 1305*t - 19563. Calculate n(15). 12 Let a(r) = -r**3 + 265*r**2 - 2119*r + 16199. What is a(257)? 8 Let k(y) = 4*y**3 + 317*y**2 + 81*y + 259. What is k(-79)? 101 Let u(n) = -208*n - 1130. Determine u(-7). 326 Let q(k) = -679*k - 8497. Determine q(-12). -349 Let k(i) = -3*i**3 + 3575*i**2 + 28807*i + 90. Calculate k(-8). -30 Let m(n) = -n**2 + 121*n + 4045. Determine m(-27). 49 Let l(t) = 436063*t + 1744246. Calculate l(-4). -6 Let d(k) = k**3 - 61*k**2 + 790*k - 29. Determine d(41). -1259 Let o(h) = -h**3 - 27*h**2 + 4*h + 779. Calculate o(-25). -571 Let p(q) = q**3 + 22*q**2 - 26*q - 5. Calculate p(-21). 982 Let q(v) = 1888*v + 253095. What is q(-134)? 103 Let x(c) = c**3 - 665*c**2 + 52683*c + 18922. Give x(573). 13 Let m(o) = o**2 + 75*o + 1449. Determine m(-42). 63 Let n(o) = -2906*o**2 + 1083938*o + 37. Determine n(373). 37 Let f(u) = 3*u**2 - 1814*u + 18072. Determine f(10). 232 Let s(f) = 3*f**2 + 92*f - 279065. What is s(290)? -85 Let g(t) = -15*t**2 - 128*t - 1065. Give g(-8). -1001 Let p(w) = -w**3 + 40*w**2 + 820*w - 36. Calculate p(-15). 39 Let w(b) = 262*b**2 - 3739*b + 1007. Calculate w(14). 13 Let i(s) = -2015*s**2 + 32233*s + 108. Calculate i(16). -4 Let b(a) = 31*a**3 + 3*a**2 + 289*a + 1400. Determine b(-5). -3845 Let m(f) = -f**3 + 197*f**2 - 9359*f - 92. Determine m(80). -12 Let y(k) = -3*k**2 + 2403*k + 14441. Determine y(-6). -85 Let v(n) = -273895*n + 10134119. Give v(37). 4 Let d(r) = -r**3 - 68*r**2 - 291*r + 5028. Give d(-62). 6 Let o(u) = -339*u**2 - 3647*u - 1. Calculate o(-11). -903 Let k(z) = z**2 - 80817*z - 727395. Give k(-9). 39 Let t(i) = i**3 + 40*i**2 - 1082*i - 31704. Calculate t(-49). -295 Let f(l) = 3*l**3 - 88*l**2 - 16*l + 1365. What is f(29)? 60 Let y(g) = -4*g**2 + 109*g - 1182. Calculate y(11). -467 Let x(t) = 4465*t + 31676. Determine x(-7). 421 Let l(m) = -m**2 + 94*m + 1773. Give l(-35). -2742 Let v(s) = -s**2 - 943*s + 554. What is v(0)? 554 Let l(u) = -u**2 - 11327*u + 614607. What is l(54)? 33 Let y(c) = c**3 - 93*c**2 - 5199*c + 92037. Calculate y(128). 5 Let i(h) = 276*h**2 - 4635*h - 45. Calculate i(17). 924 Let d(n) = -18435*n + 1290445. What is d(70)? -5 Let a(r) = r**2 - 93*r + 2122. Calculate a(45). -38 Let g(i) = 2*i**2 - 61*i + 769. Give g(25). 494 Let g(m) = 696*m - 197564. What is g(284)? 100 Let q(v) = -v**3 - 215*v**2 + 12909*v - 7128. Determine q(-264). 0 Let f(g) = -221*g + 25353. Determine f(117). -504 Let k(i) = -5*i**2 + 256*i - 3348. What is k(16)? -532 Let i(a) = 1643*a - 9202. Determine i(6). 656 Let m(i) = i**2 + 61*i - 75954. What is m(-314)? 3488 Let z(x) = -x**3 + 98*x**2 - 839*x - 2866. Calculate z(88). 742 Let x(y) = y**3 + 123*y**2 - 84683*y - 9673. What is x(236)? 3 Let o(h) = -117*h**2 + 356*h + 1311. What is o(5)? 166 Let v(u) = u**3 - 76*u**2 + 425*u - 468. Determine v(70). -118 Let k(f) = f**2 - 12*f - 1022. Give k(-20). -382 Let m(n) = -41*n**2 - 978*n - 65. Give m(-24). -209 Let c(q) = 19*q**3 - q**2 - 3677*q - 3674. Calculate c(-1). -17 Let w(a) = -4*a**2 - 4023*a - 36247. Determine w(-9). -364 Let t(i) = 5*i**3 + 55*i**2 - 62*i - 94. Determine t(-12). -70 Let v(c) = -2*c**2 + c + 148241. What is v(-272)? 1 Let c(s) = 3*s**2 - 7181*s + 399754. What is c(57)? 184 Let h(f) = -3*f**3 - 185*f**2 - 2473*f - 157170. Determine h(-62). 0 Let r(a) = 4*a**3 + 187*a**2 - 676*a - 1230. Give r(-50). 70 Let s(p) = 3*p**2 - 112*p + 194. Determine s(35). -51 Let w(f) = 273*f - 16305. What is w(62)? 621 Let r(u) = -3*u**3 + 1197*u**2 + 1203*u - 1199. Calculate r(400). 1 Let o(p) = 14*p**2 - 20*p - 102. What is o(-4)? 202 Let s(t) = 2*t**3 + 153*t**2 - 2*t + 5730. What is s(-77)? -45 Let j(d) = -4383*d - 1617330. Give j(-369). -3 Let g(i) = -i**3 + 6*i**2 - 1081*i + 4330. Calculate g(4). 38 Let c(q) = 5388*q - 1039862. What is c(193)? 22 Let m(r) = -r**2 - 54*r + 579. What is m(-65)? -136 Let g(h) = 9*h**2 + 87*h + 249. What is g(-4)? 45 Let w(z) = -12*z - 1363. Calculate w(-23). -1087 Let p(y) = -y**3 - 5*y**2 + 123*y + 943. Give p(-15). 1348 Let c(a) = 44932*a + 629034. Calculate c(-14). -14 Let u(q) = -q**3 + 28*q**2 + 183*q + 2178. Determine u(35). 8 Let d(b) = -1659*b - 194443. What is d(-117)? -340 Let c(q) = -17*q**2 + 1111*q + 1572. What is c(67)? -304 Let g(s) = 3874*s + 81706. Calculate g(-21). 352 Let u(d) = -1323*d + 9189. Give u(7). -72 Let g(p) = 7654*p - 1614988. Give g(211). 6 Let u(y) = 277*y**2 - 2909*y - 2911. What is u(-1)? 275 Let d(r) = -2*r**2 + 221*r + 2045. Determine d(119). 22 Let p(x) = -17*x**2 - 4814*x + 8230. Calculate p(-285). -605 Let r(i) = 385*i - 6266. What is r(16)? -106 Let d(a) = -218*a + 2184. Calculate d(10). 4 Let w(z) = 258*z**2 + 1633*z - 1208. What is w(-7)? 3 Let o(q) = 580*q**2 + 56*q - 101. Calculate o(2). 2331 Let v(h) = -2*h**3 + 109*h**2 + 893*h - 51120. What is v(54)? 18 Let y(p) = 3*p**3 - 31*p**2 + 36*p - 159. Calculate y(4). -319 Let f(q) = 19714*q - 532255. What is f(27)? 23 Let g(a) = -a**3 - 6*a**2 - 446*a - 4826. Give g(-10). 34 Let k(c) = 26*c**3 - 571*c**2 - 52*c + 32. Calculate k(22). -628 Let d(x) = -28026*x - 168113. Give d(-6). 43 Let q(d) = 47*d**2 + 633*d + 44. Give q(-14). 394 Let m(h) = 5*h**3 + 20*h**2 + 220*h + 1400. What is m(-7)? -875 Let q(f) = 7*f**3 + 50*f**2 - 513*f - 3420. Determine q(-6). -54 Let v(a) = -a**3 + 8*a**2 - 52*a + 869. Calculate v(11). -66 Let h(d) = 65*d**2 - 3253*d + 190. What is h(50)? 40 Let j(p) = -158891*p - 17319116. Give j(-109). 3 Let b(d) = -14013*d + 630582. Give b(45). -3 Let p(g) = -g**3 + 35*g**2 + 1165*g - 12581. Determine p(9). 10 Let q(j) = 5*j**2 + 232283*j + 232281. Give q(-1). 3 Let s(b) = -7*b**3 + 114*b**2 + 136*b + 14
{ "pile_set_name": "DM Mathematics" }
3279? 3, 1093 List the prime factors of 1186. 2, 593 List the prime factors of 8589. 3, 7, 409 List the prime factors of 3574. 2, 1787 What are the prime factors of 4739? 7, 677 What are the prime factors of 17143? 7, 31, 79 What are the prime factors of 2361? 3, 787 What are the prime factors of 1180? 2, 5, 59 List the prime factors of 26476. 2, 6619 What are the prime factors of 2050? 2, 5, 41 What are the prime factors of 136773? 3, 7, 13, 167 List the prime factors of 60692. 2, 15173 List the prime factors of 7775. 5, 311 List the prime factors of 596. 2, 149 List the prime factors of 5268. 2, 3, 439 What are the prime factors of 956? 2, 239 List the prime factors of 43762. 2, 21881 What are the prime factors of 694? 2, 347 What are the prime factors of 111326? 2, 55663 List the prime factors of 807. 3, 269 What are the prime factors of 925? 5, 37 What are the prime factors of 1307? 1307 List the prime factors of 1505. 5, 7, 43 List the prime factors of 3121. 3121 What are the prime factors of 148619? 331, 449 List the prime factors of 3667. 19, 193 What are the prime factors of 74431? 7, 31 What are the prime factors of 1162? 2, 7, 83 List the prime factors of 1150. 2, 5, 23 What are the prime factors of 4461? 3, 1487 What are the prime factors of 61287? 3, 31, 659 What are the prime factors of 524? 2, 131 List the prime factors of 116580. 2, 3, 5, 29, 67 List the prime factors of 49586. 2, 24793 List the prime factors of 18919. 18919 What are the prime factors of 27178? 2, 107, 127 What are the prime factors of 80065? 5, 67, 239 What are the prime factors of 116633? 11, 23, 461 What are the prime factors of 12753? 3, 13, 109 List the prime factors of 1575. 3, 5, 7 List the prime factors of 294. 2, 3, 7 List the prime factors of 537. 3, 179 List the prime factors of 2725. 5, 109 List the prime factors of 916. 2, 229 What are the prime factors of 143618? 2, 71809 List the prime factors of 40751. 40751 List the prime factors of 1479. 3, 17, 29 What are the prime factors of 2166? 2, 3, 19 List the prime factors of 2709. 3, 7, 43 What are the prime factors of 11551? 11551 List the prime factors of 3786. 2, 3, 631 List the prime factors of 32. 2 List the prime factors of 22391. 22391 List the prime factors of 10876. 2, 2719 What are the prime factors of 49800? 2, 3, 5, 83 List the prime factors of 21164. 2, 11, 13, 37 What are the prime factors of 1410? 2, 3, 5, 47 List the prime factors of 254. 2, 127 What are the prime factors of 5866? 2, 7, 419 List the prime factors of 39631. 39631 List the prime factors of 930. 2, 3, 5, 31 List the prime factors of 910. 2, 5, 7, 13 What are the prime factors of 21029? 17, 1237 List the prime factors of 362. 2, 181 List the prime factors of 30221. 47, 643 What are the prime factors of 12964? 2, 7, 463 What are the prime factors of 4196? 2, 1049 List the prime factors of 44497. 44497 List the prime factors of 52. 2, 13 What are the prime factors of 110497? 47, 2351 What are the prime factors of 11985? 3, 5, 17, 47 What are the prime factors of 1902? 2, 3, 317 List the prime factors of 6445. 5, 1289 What are the prime factors of 908? 2, 227 What are the prime factors of 5202? 2, 3, 17 What are the prime factors of 12353? 11, 1123 List the prime factors of 1468. 2, 367 List the prime factors of 186. 2, 3, 31 List the prime factors of 223. 223 List the prime factors of 4495. 5, 29, 31 List the prime factors of 72816. 2, 3, 37, 41 What are the prime factors of 7311? 3, 2437 What are the prime factors of 7560? 2, 3, 5, 7 List the prime factors of 10919. 61, 179 What are the prime factors of 4417? 7, 631 List the prime factors of 4154. 2, 31, 67 List the prime factors of 908. 2, 227 List the prime factors of 119657. 119657 List the prime factors of 2418. 2, 3, 13, 31 What are the prime factors of 13372? 2, 3343 List the prime factors of 28306. 2, 14153 What are the prime factors of 1106? 2, 7, 79 What are the prime factors of 10066? 2, 7, 719 List the prime factors of 1499. 1499 List the prime factors of 916. 2, 229 What are the prime factors of 632? 2, 79 What are the prime factors of 7342? 2, 3671 List the prime factors of 7187. 7187 What are the prime factors of 905? 5, 181 What are the prime factors of 5687? 11, 47 What are the prime factors of 4549? 4549 List the prime factors of 843. 3, 281 List the prime factors of 2687. 2687 List the prime factors of 717. 3, 239 List the prime factors of 1935. 3, 5, 43 What are the prime factors of 3798? 2, 3, 211 What are the prime factors of 3133? 13, 241 What are the prime factors of 808? 2, 101 What are the prime factors of 17738? 2, 7, 181 What are the prime factors of 27681? 3, 9227 What are the prime factors of 93567? 3, 31189 What are the prime factors of 27692? 2, 7, 23, 43 List the prime factors of 5261. 5261 What are the prime factors of 75550? 2, 5, 1511 What are the prime factors of 20511? 3, 43, 53 What are the prime factors of 277? 277 List the prime factors of 95987. 95987 What are the prime factors of 769? 769 List the prime factors of 77251. 67, 1153 List the prime factors of 9455. 5, 31, 61 What are the prime factors of 9063? 3, 19, 53 List the prime factors of 131. 131 List the prime factors of 533. 13, 41 List the prime factors of 4094. 2, 23, 89 List the prime factors of 7472. 2, 467 List the prime factors of 347. 347 List the prime factors of 111327. 3, 43, 863 List the prime factors of 1604. 2, 401 List the prime factors of 1266. 2, 3, 211 List the prime factors of 83180. 2, 5, 4159 List the prime factors of 37922. 2, 67, 283 What are the prime factors of 2410? 2, 5, 241 What are the prime factors of 23975? 5, 7, 137 What are the prime factors of 814? 2, 11, 37 What are the prime factors of 580? 2, 5, 29 What are the prime factors of 2070? 2, 3, 5, 23 List the prime factors of 133887. 3, 13, 3433 List the prime factors of 4344. 2, 3, 181 What are the prime factors of 1409? 1409 List the prime factors of 8957. 13, 53 List the prime factors of 4787. 4787 List the prime factors of 1104. 2, 3, 23 List the prime factors of 6882. 2, 3, 31, 37 What are the prime factors of 2? 2 What are the prime factors of 341? 11, 31 What are the prime factors of 2265? 3, 5, 151 List the prime factors of 1908. 2, 3, 53 List the prime factors of 337. 337 What are the prime factors of 656? 2, 41 What are the prime factors of 34891? 23, 37, 41 What are the prime factors of 1924? 2, 13, 37 What are the prime factors of 5275? 5, 211 What are the prime factors of 58342? 2, 31, 941 List the prime factors of 54887. 7, 7841 What are the prime factors of 9441? 3, 1049 What are the prime factors of 3907? 3907 List the prime factors of 167. 167 What are the prime factors of 1178? 2, 19, 31 What are the prime factors of 7142? 2, 3571 List the prime factors of 69015. 3, 5, 43, 107 What are the prime factors of 67769? 13, 401 What are the prime factors of 105422? 2, 52711 List the prime factors of 23005. 5, 43, 107 What are the prime factors of 4578? 2, 3, 7, 109 What are the prime factors of 8821? 8821 What are the prime factors of 39612? 2, 3, 3301 What are the prime factors of 20719? 20719 What are the prime factors of 9034? 2, 4517 List the prime factors of 6084. 2, 3, 13 List the prime factors of 9920. 2, 5, 31 List the prime factors of 21891. 3, 7297 List the prime factors of 18635. 5, 3727 List the prime factors of 1252. 2, 313 List the prime factors of 1411. 17, 83 List the prime factors of 722. 2, 19 List the prime factors of 103579. 7, 14797 List the prime factors of 6637. 6637 What are the prime factors of 86707? 31, 2797 What are the prime factors of 1825? 5, 73 What are the prime factors of 2119? 13, 163 List the prime factors of 4166. 2, 2083 What are the prime factors of 7023? 3, 2341 List the prime factors of 50808. 2, 3, 29, 73 What are the prime factors of 23434? 2, 11717 What are the prime factors of 6404? 2, 1601 What are the prime factors of 745? 5, 149 List the prime factors of 54. 2, 3 What are the prime factors of 73608? 2, 3, 3067 What are the prime factors of 4491? 3, 499 What are the prime factors of 4350? 2, 3, 5, 29 List the prime factors of 2456. 2, 307 What are the prime factors of 1184? 2, 37 What are the prime factors of 160704? 2, 3, 31 List the
{ "pile_set_name": "DM Mathematics" }
v + 53 for v. -2 Suppose 10*k - 31 - 19 = 0. Let w be (6/k + 0)/((-3)/(-10)). Solve w*g = -g for g. 0 Suppose 0 = -4*n - 21 + 81. Suppose -14*h + 1 = -n*h. Let s be (-13)/65 - h/5. Solve s*f = -4*f + 16 for f. 4 Let u be ((12/4)/(-6))/(69/(-552)). Solve -u + 0 = -f for f. 4 Let d(s) = -2*s**3 - 2*s - 2. Let t be d(-1). Suppose 3*j - 10 = v, -j = -2*j + v. Suppose -4*y - 3*i - 15 = 0, -3*i = -j*i - 10. Solve y = k + 1 - t for k. 1 Suppose -4*w + 30 = -3*p, -p + 75 = -2*w + 87. Solve -18*l - w + 21 = 0 for l. 1 Let j(t) be the second derivative of -t**5/20 + t**4 - t**3/3 + 37*t**2/2 - 15*t. Let r be j(12). Solve -r = -5*w + 2 for w. 3 Suppose -17*y = -128 + 9. Solve -52 = 20*s - y*s for s. -4 Suppose 4*a = -16, 17*w - 18*w - 236 = -5*a. Let v = 258 + w. Solve m = v*m for m. 0 Let k be (-3 - (-58)/(-4))*(-4)/5. Let t be (6/k)/(26/182). Suppose 5*w - t*w = 0. Solve -2*b - 1 + 5 = w for b. 2 Let v(l) = -l. Let q be v(0). Let u(r) = 2*r**2 - 56*r - 57. Let d be u(-1). Solve q = -2*j + d - 5 for j. -2 Let o(d) = -d**3 + 3*d**2 + 2*d + 3. Let f be o(-3). Suppose -4*j - 47102 + 47086 = -2*g, -5*g - j + 29 = 0. Solve g*b + f - 33 = 0 for b. -3 Let q(p) = 10*p + 95. Let z(r) = r**2 - 9*r + 12. Let o be z(4). Let m be q(o). Solve -5*g + m = -0*g for g. 3 Let y(r) = -37*r + 845. Let i be y(21). Solve 2*s + 78 = i for s. -5 Let k(z) = -4*z**3 + 4*z**2 - z. Let c be k(-2). Let h = c - 50. Suppose 3*m - 6*m + 12 = h. Solve a = -m - 0 for a. -4 Let d(o) = 3*o**3 + 16*o**2 + 9*o + 114. Let r be d(-8). Let h be (28/10)/((-329)/r). Solve -h*q + 9 = 5 for q. 1 Let n(q) = 2*q**3 + 3*q**2 - 56*q - 16. Let u be n(5). Solve u*o - 94*o + 325 = 0 for o. 5 Let l(t) be the third derivative of -t**5/60 - 5*t**4/12 + 31*t**3/6 + 45*t**2. Let r be l(-13). Let w be 1*4/r*-6. Solve 0 = -4*j + 11 - w for j. 2 Let p(b) = b + 1. Let c = -6 + 10. Let u be p(c). Let v = -29584 - -29586. Solve 0 = v*g - g + u for g. -5 Let y be (225/18)/((-4)/(-8)). Let d be -4 + (-3 - -7) + 2. Suppose -3*q = d*g - 22, -g - 3*q + 9 = -2*q. Solve -g*w - y + 0 = 0 for w. -5 Let a = 12 + -14. Let q be (-768)/(-48)*(-1)/a. Solve 5*n = -28 + q for n. -4 Suppose -584*r = -899*r + 5670. Solve 15*x + 132 = -r*x for x. -4 Suppose -6*r + 2*c + 230 = -4*r, r = 3*c + 113. Let w = 121 - r. Solve -w*p + 24 = -1 for p. 5 Let l(h) = 12*h**2 + 6*h + 11. Let u be l(-6). Let w = 269 - u. Let a = w - -143. Solve 0 = j - a*j - 8 for j. -2 Let l = 10750 - 10524. Solve -l = -33*b - 457 for b. -7 Let a be -5 - 56/(7/(-1)). Let b(v) = 2*v**2 + 6*v. Let l be b(-7). Solve -41 = a*j - l for j. 5 Suppose -4*o + 4*z = -0*z, -5*z = -2*o - 12. Suppose 2*x = -2*s - 10, -4*x - 11 = -o*s - 47. Let c be 6/(-21)*s + 4/(-2). Solve c = -9*l + 12*l for l. 0 Let k = -4255 + 4261. Solve -10*y + k = -14 for y. 2 Suppose 0 = -7*c + 9*c - r + 319, 3*c - r = -479. Let t = c + 193. Solve 0 = 31*i - t*i + 8 for i. 4 Suppose 2*u + 1 = -5*c - 1, 0 = 3*u - 3*c + 3. Let v be 2*((-20)/8 - u). Let g be v/2 - (-275)/22. Solve 0 = 2*z - 3 + g for z. -4 Suppose 4*j = -16, 5*j + 9 + 51 = 2*q. Solve -9 = q*x + 51 for x. -3 Suppose -t + 0*x - 1 = -x, 3*t + 4*x = 32. Let k be (55/15 + -1)*18/t. Let p be (4 - k/(-6)) + (0 - -1). Solve 5*f - p = -27 for f. -4 Suppose 5*n - 46 + 166 = -5*q, 5*n - 4*q + 93 = 0. Let l be 44/66*n/(-2). Solve -8*o + l*o = -5 for o. 5 Suppose -8 = 2*t + 2*l, -5*t - l - 10 = 10. Let x be (-8)/t + -3 + 6 + -3. Solve 2*h - x = -4 for h. -1 Let r(t) = -t**2 + 21*t + 105. Let a be r(23). Solve 56*q - a*q - 9 = 0 for q. -3 Let s(h) = -9*h - 25. Let n be s(-7). Suppose 0 = -2*v + n - 16. Solve 4*t + 9 = -v for t. -5 Let x(p) = -21*p + 29. Let n be x(7). Let m = n - -131. Solve m*g + 40 = 5*g for g. -5 Let x be (-42)/112 - 1*(-1641)/24. Let k = x + -32. Solve -k = -10*n - 2*n for n. 3 Let p be ((-42)/8)/(207/(-552)). Suppose -p*n + 267 = 99. Solve -d - 3*d = -n for d. 3 Let m = 1552 - 1512. Solve -m = 19*q + 55 for q. -5 Suppose 0 = -i + 4*b + 23 + 22, -120 = -5*i - b. Solve -43*k - 104 - i = 0 for k. -3 Suppose 27*x = 8*x + 57. Let v be 3 + x + -14 + 12. Suppose -3*z = 2*z - 10, 5*q + 3*z = 16. Solve u - q*u + v = 0 for u. 4 Let q(p) = -13*p - 2691. Let g be q(-207). Solve -6*z + 148 - 100 = g for z. 8 Let d be 3/(-2)*(-16 + 31 - 45). Solve -138*b - d = -129*b for b. -5 Let y be (-4)/(-2) + (2 - -5 - 8). Let g = 20 - 66. Let z = g - -57. Solve -4*h - y = z for h. -3 Suppose -3*j = -5 - 4. Let v = 6 - j. Suppose 4*a + 2*n - 8 = 0, v*a + 2*a - 5*n = 10. Solve 0 = -b - a*b for b. 0 Let d(f) = -14*f**2 - 28*f + 3. Let y(w) = 5*w**2 + 9*w - 2. Let k(a) = -4*d(a) - 11*y(a). Let q be k(-13). Solve -4*m - 10 = -q for m. 0 Suppose -g + 3*q + 1 = 0, 2*q + 10 = -g + 26. Suppose 4*b - g = 2*p, -p + 3*b - 12 = -2. Solve -2*u + u = p for u. -5 Let g(f) = -2*f**3 - 5*f**2 - 5*f - 2. Let p be g(-2). Suppose 12 = p*i + 8. Suppose i - 13 = -2*x. Solve 0*o - 3*o = x for o. -2 Suppose 2*o + 4*y - 60 = 0, 0 = -3*o + 6*o - 3*y - 54. Solve o*s = 47*s - 75 for s. 3 Suppose -11*c - 54 = -21. Let h(z) = -z**3 - 4*z**2 - 4*z - 3. Let k be h(c). Solve k = -3*g - 1 + 7 for g. 2 Let r(m) = 33*m + 2. Let u be r(2). Suppose 23*f - 20*f = -2*l - 190, -80 = f + 4*l. Let h = u + f. Solve h*c - 20 = 4*c for c. 5 Let o(f) = -33*f + 552. Let l be o(10). Solve 233*m - l*m = 0 for m. 0 Suppose -52*k = 45*k - 1455. Solve -15 = -14*o - k for o. 0 Suppose -477*s + 485*s = 640. Solve 14*v + 2*v = s for v. 5 Suppose -740*z + 766*z = 1352. Solve -z = 16*a - 68*a for a. 1 Let s(f) be the third derivative of f**4/24 - f**3/2 + 34*f**2 - 1. Let r be -2 - (-3)/((-3)/(-7)). Let y be s(r). Solve 5*d - y = 23 for d. 5 Suppose 2*d - 11 = j - 3, 0 = 5*d + 2*j - 20. Suppose 3*r - 24 = -3*n, 2*r - 16 = -2*r + d*n. Let z be -3*4/r*40/(-16). Solve -z = -3*s + 7 for s. 4 Let w(c) = 7*c + 5*c + 12*c + 27 - 102 - 32. Let v be w(5). Solve -v*n + 11*n = -2 for n. 1 Suppose 7*z + 2976 = 15*z. Let q = -355 + z. Solve -3 = 7*v - q for v. 2 Let d = 20224 - 20193. Solve d*k = 106 - 323 for k. -7 Let r = -9 + 14. Suppose -18 = -r*u - 3. Suppose -3*s + 67 = 2*g, 5*s = 9*s - 2*g - 80. Solve u*m - s = -6 for m. 5 Let t be ((-5)/(-10))/(3/246). Let d(l) = t*l - 24*l - 16*l - 17. Let y be d(17). Solve y = -4*g + 4 - 0 for g. 1 Let b(r) = -r**3 + 15*r**2 + 17*r - 14. Let q be b(16). Let u be 32 + (8 - 43 - -17). Solve 0 = 4*c - q - u for c. 4 Let j be (-10)/((-12)/(456/95)). Let y(d) = 4*d**2 - 5*d + 4. Let n be y(3). Solve -j*p + n = 13 for p. 3 Suppose -4735 + 4351 = -16*f. Solve q = -11*q - f for q. -2 Let n(f) be the first derivative of 7*f**2/2 - 4*f - 15. Let t be n(1). Suppose -t*s + 4*b + 7 = -5, -4*s = -5*b - 15. Solve -2*h + 0 - 4 = s for h. -2 Let q be (-21)/14 - (19/(-2) + -3). Let o(f) = 3*f**2 - 35*f + 27. Let g be o(q). Solve -38 + 28 = g*y for y. -2 Let g(r) = -320*r - 5087. Let v be g(-16). Solve 55*y + v = -22 for y. -1 Suppose -33 = -4*d - j, -2*d - 3*d + 42 = 2*j. Suppose 0 = d*w - 12*w + 48. Solve -7*n = -4*n + w for n. -4 Suppose -3667 + 3235 = -4*s + 5*f, -2*f - 216 = -2*s. Solve 126*u - 153*u - s = 0 for u. -4 Let q be ((-20)/(-12))/((-2)/(-12)*90/36). Suppose -4*o = -4*z - 32 - 52, 0 = 5*o - 4*z - 100. Solve -4*b + q = -o for b. 5 Suppose -o - f = -331, 13*f - 999 = -3*o + 16*f. Solve 0 = -329*y + o*y - 12 for y. 4 Suppose -n - 15 - 19 = 0. Let u = 38 + n. Suppose 0*a + u*a = -a. Solve -g - 3*g - 20 = a for g. -5 Suppose -4*j - 4 = 0, -2*o - 3*j = o - 3. Suppose 351*w - 18 = 348*w. Solve 0 = -o*p + 5*p - w for p. 2 Let b = 1 + 9. Let a(n) = -4*n + 38. Let d be a(b). Let h be (-5 - d)/(3/(-2)). Solve 0 = 3*v + h - 14 for v. 4 Suppose 519*f + 20 = 523*f. Let z be (-4)/(-22) + f/(165/324). Solve 13*h = 11*h - z for h. -5 Let r = -4795 + 4798. Solve -r*c = -4*c for c. 0 Let z be -14*((-106)/(-1113))/(3/(-27)). Solve z*x = -52*x - 192 for x. -3 Suppose -7 - 1 = -26*g + 25*g. Solve -24 = -0*d - g*d for d. 3 Suppose -7 + 1 = -6*w. Let c be 18*5/2 - (w + -1). Suppose h = 5*h + 20, 0 = 2*q - 3*h - c. Solve 10*r + q = 5*r for r. -3 Let m = -33 + -188. Let k = m - -234. Solve -8*g - 15 = -k*g for g. 3 Let o(g) = 2*g + 28. Let q be o(-12). Let x be q*148/40 - 3/(-15). Suppose -12*t + 13*t = x. Solve -3*h - 2*h + t = 0 for h. 3 Let u be 209 + ((-2)/(-8))/(48/(-1344)). Solve 0 = -45*o - u - 113 for
{ "pile_set_name": "DM Mathematics" }
- 2. Solve -9 = 4*c - s for c. -2 Suppose 2*i = -0*i + 2. Let z be 0/i - (4 - 6). Solve z*g - 3*g = -3 for g. 3 Let t(p) = -p**3 + 4*p**2 + 3*p + 3. Let u be t(4). Let c(k) = -k - 4. Let f(a) = -1. Let y(m) = -c(m) + 2*f(m). Let v be y(0). Solve -v*x + u = x for x. 5 Suppose -3*l - 4*x - 18 = -6*l, -2*l + 5*x + 19 = 0. Solve 0*o = l*o + 4 for o. -2 Let u(y) = y**3 + 8*y**2 - 8*y + 2. Let f be u(-9). Let z be (4/5)/(f/(-35)). Solve -25 = z*i - 5 for i. -5 Let w be 33/4 - 2/8. Let m(l) = l**3 + l**2 - 3*l + 2. Let o be m(2). Let g be 10/o + (-2)/w. Solve -3*k = g + 5 for k. -2 Let z be 1*(33 + -2 + 4). Suppose -24*t - 45 = -33*t. Solve 10 = t*a + z for a. -5 Let q be (-10)/(-25) + (-2)/5. Solve q = -t + 4*t + 6 for t. -2 Let s = 12 - 9. Solve 0 = t - 0*t - s for t. 3 Suppose 0 = z + 6 - 8. Solve z*s = s + 4 for s. 4 Let z be ((-3)/(-9))/((-3)/(-45)). Let k(o) be the second derivative of -o**4/12 + o**3 - 5*o**2/2 - o. Let b be k(z). Solve -2 = -b*v + 2*v for v. -1 Let p be -4*1/(-2)*-2. Let a = p + 29. Solve -a + 5 = 4*t for t. -5 Let w = 35 - 30. Solve w*q - 7 = -32 for q. -5 Suppose -2 = 2*v - 16. Suppose q - 2 + v = 3*g, 2*q - 2 = 0. Solve g*x = 8 + 2 for x. 5 Let j(x) = 2*x**3 - 1. Let v be j(2). Suppose -l - v = -4*l. Solve l*s - 8 = 7 for s. 3 Let s = -10 + 15. Let t(k) = k**3 + 2*k**2 - k. Let u be t(1). Solve u*p = p - s for p. -5 Let z = 1 + 1. Suppose -2*h = z - 8. Solve -4*y + 7*y + h = 0 for y. -1 Suppose 0 = -6*c + 9*c - 54. Let q = c + -12. Solve 26 - q = -4*f for f. -5 Let l = -1 - 0. Let m = 1 + l. Solve m*f = 5*f + 25 for f. -5 Let z(h) = -3*h**3 + 2*h**2 - 7*h - 1. Let l(f) = -2*f**3 + 2*f**2 - 7*f - 2. Let n(x) = -4*l(x) + 3*z(x). Let b be n(-4). Solve -b = 2*w + w for w. -3 Suppose -q + 3 = -1. Let h be 15/q + (-6)/8. Solve h*c = -c + 16 for c. 4 Suppose -b + 3*c + 9 = 0, 0*c = -4*b + 2*c + 16. Suppose 5*k - b = 12. Solve 1 + k = 2*w for w. 2 Let y = 112 + -107. Solve -4*f + y = f for f. 1 Let y = -30 - -30. Solve 5*j - 2*j + 3 = y for j. -1 Let c(i) = -i**2 + 14*i + 3. Let a be c(14). Solve 2*h + 5 = a*h for h. 5 Let o(z) = z**2 + z + 3. Let m be o(-3). Solve m = -3*n - 3 for n. -4 Let f = 8 + -4. Let o = 0 + f. Solve i - o = -i for i. 2 Let m = -43 + 46. Solve -2*l + m*l = -3 for l. -3 Let u = 5 - 2. Suppose 0 = -6*y + 2*y - 3*q - 3, -5*q - 10 = 5*y. Suppose 19 = -y*o + 43. Solve o = -u*c + 23 for c. 5 Suppose 4*c = 4*s, -2*c - 5*s = -6*c - 2. Solve -c*y + 3*y + 2 = 0 for y. -2 Suppose 0 = 4*s - 3*s - 3. Suppose 0 = 2*q + q - s. Solve -z + q = -2 for z. 3 Let v = -73 + 84. Solve 0 = -3*b + 2 - v for b. -3 Let y(a) = -a**2 + 3. Let g be y(0). Suppose -g*i = -0*i. Solve i = -l + 3*l for l. 0 Let h(a) = -17*a**3 - 2*a**2 - a. Let f be h(-1). Suppose 0 = y + 3*y - f. Solve -y*l = -5*l for l. 0 Let z = 23 + 25. Suppose 0*s = -3*s + z. Solve 0 = -u + 5*u + s for u. -4 Suppose -s - 6 = -9. Solve 9 + 6 = s*y for y. 5 Let d = -99 - -101. Solve x + d = 3*x for x. 1 Let j = -1 + -6. Let o = -2 - j. Solve 3 - o = a for a. -2 Let k be 22*-2*(-2)/4. Suppose -3*i - i + 16 = 0. Suppose g - 13 = -3*z + 3*g, i*z = 5*g + k. Solve -w = z*w for w. 0 Let o = 25 + -21. Solve o*f - 2 = 10 for f. 3 Let b(z) = 23*z**2 - 2*z + 1. Let c be b(1). Let i = c - 20. Solve i = 2*n - 0*n for n. 1 Suppose 0 = 7*v - 4*v - 6. Solve 0 = -3*y - v + 17 for y. 5 Let x be 4*(2 - (-4 - -3)). Let i = x + -9. Solve -i*c = -6*c - 9 for c. -3 Let t = 3 + 1. Suppose -3*h + 5*z = -14 - 7, -5*h - 5*z = 5. Suppose 5*x + i = 20, -3*x - 4*i = -h*i - 12. Solve 0 = -x*j - 0 - t for j. -1 Let m be 0/(-2 - (-4)/4). Solve 4*y + m*y - 4 = 0 for y. 1 Let q = 0 + 1. Let b be 2/q + (-3 - -7). Solve 5*u + 1 - b = 0 for u. 1 Suppose -w - 2*w + 3 = j, -3*w = -2*j + 6. Solve -h = j*h + 20 for h. -5 Suppose -5*o = -d + 5*d + 10, -4*o - 8 = 2*d. Solve d*r = -r + 3 for r. 3 Suppose 0 = -m - m + 10. Let h = 39 - 63. Let i = h + 44. Solve -m*t + t = -i for t. 5 Suppose 40 = -0*r + 5*r. Suppose c = 3*c - r, 0 = -q + 2*c - 8. Solve q + 2 = -g for g. -2 Let y(r) = r - 6. Let o be y(6). Suppose 2*z + z - 6 = o. Solve h = -z + 6 for h. 4 Let k = 365 + -233. Suppose 5*z + 21 - 151 = 5*l, -4*z + k = -5*l. Let m = l - -65. Solve m = 5*s + 12 for s. 5 Let l be (2/(-12)*-2)/(26/156). Solve 1 = -l*q + 11 for q. 5 Suppose 14*o + 3*o - 85 = 0. Solve -2*j = 3*j + o for j. -1 Let g be 2 + 0 + 1 + 0. Solve -g*q = 2*q for q. 0 Let i(x) = 3*x - 35. Let g be i(14). Let a = -6 - -9. Solve -a = -2*r + g for r. 5 Let u be -27 - (-2)/4*2. Let t = 18 + u. Let j be 4/t - (-9)/2. Solve -3*f - j = -13 for f. 3 Let p be 0*(1/(-1))/1. Suppose -2 = -3*m + 4. Solve -2*a - m + 0 = p for a. -1 Let z(g) = 6*g - 10. Let r be z(2). Solve -r*s = -4*s for s. 0 Let s be 8/4 + -4 + 2. Solve s = -4*a - 0 - 8 for a. -2 Let o(h) = 15*h**2 - h. Let u be o(-1). Suppose 4*c = 16 + u. Solve 2*t - c = -0*t for t. 4 Suppose -4*j = -5*h + 12, 7 + 2 = 4*h - 3*j. Suppose h = 2*m - 5*v + 2*v + 8, -3*m + 4*v - 10 = 0. Solve -m*n + 5 = 1 for n. 2 Let a be (15/(-12))/(7/(-28)). Suppose -a = -z + 1. Suppose 6*q - 2*q = 12. Solve z = q*h - h for h. 3 Suppose x - 3*x + 4 = 0. Let b be (x + 9/(-12))*4. Solve b*p = p + 16 for p. 4 Suppose -12 = 5*w - 2, -2*n - 5*w = 0. Suppose n*r - 6 = 4. Solve -r*x - 20 = 3*x for x. -4 Let a(r) = -3*r - 6. Let y be a(-5). Let i = y - 5. Solve 2*t - i + 12 = 0 for t. -4 Let v(m) = m**3 - 2*m**2 - 6. Let t be v(3). Solve t*q + 12 = -q for q. -3 Let b be (-4)/(-18) - (-400)/144. Let z be b + (-2 - 1) + 3. Solve z*o = 7*o - 12 for o. 3 Let n(q) = -q + 15. Let v be n(11). Let f be -2 + 1 + 5 + -1. Solve -u + v*u = f for u. 1 Let s(n) = n + 3. Let r be s(-2). Let f(d) = r - 2 + 7 + d. Let l be f(-6). Solve -5*j + 15 = -l*j for j. 3 Let v(d) = -d**3 + 3*d**2 - 2*d. Let q = 3 - 1. Let p be v(q). Solve p = 2*o + 4 - 0 for o. -2 Suppose 13*l - 6*l - 28 = 0. Solve 4*i + 4 = -l for i. -2 Suppose 0 = -3*c + 4*c + 2*b - 29, -4*c + 116 = 4*b. Solve -4*t - 9 = -c for t. 5 Let q be -2 + 1 + 1 + 3. Suppose 4*r - 3*r = 2. Solve -v = q - r for v. -1 Let f(l) = l - 2. Let w be f(8). Suppose -n = 4*u + 3, w + 6 = -4*n. Solve -6 + u = 2*g for g. -3 Suppose 7*x = 3*x. Solve 5 = v - x*v for v. 5 Let d = -3 - -9. Suppose -3*o + d = -2*o. Solve o + 6 = -3*g for g. -4 Suppose 4*z = g + 102, -5*z + 3*g = 2*g - 127. Suppose x - z = -2*x - 2*j, 5*j = x + 20. Solve 8 = x*f - 7 for f. 3 Suppose 17*v - 8 = 13*v. Let i be (-2)/2 - (1 - 6). Suppose -i*z = z - 20. Solve -c + v = z for c. -2 Suppose -3*u + 6 - 33 = 0. Let l be 0 - u/3 - 3. Solve l*x = -5*x + 10 for x. 2 Suppose -5*s + 50 = -10. Solve 0 = g + 3*g - s for g. 3 Suppose 4*s - 5*x - 26 = 4, -4*x = -s + 13. Suppose -r + s - 3 = 0. Solve 0 = -l + r*l for l. 0 Let b(i) = -2*i - 8. Suppose 7 = -w + 1. Let l be b(w). Suppose 3*o = 6, 5*o - 12 = -l*g + 3*g. Solve g*n + 2*n = -12 for n. -3 Suppose 7*h - 60 = 3*h. Solve -5*f + 0*f - h = 0 for f. -3 Let n be 0/(-1 - (3 + -2)). Suppose 3*i - 2*i = n. Suppose m = -4*o + 4, -4*o + 2*m + 1 + 3 = i. Solve -2*b + 1 = -o for b. 1 Let b = -14 - -33. Suppose -c = 3*f - 21, -2*f + 30 = 3*c - b. Solve 3*g + c = -0 for g. -5 Suppose 4*a + 4*q - 2*q = -2, 0 = -a + q + 1. Let i be 0*-2*(-2)/8. Suppose 4*m + 3*k - 46 = k, 4*k + 28 = 4*m. Solve -2*u + a + m = i for u. 5 Suppose 3*u = -2*w - 10, -u - 4 = -4*w + 4. Let v be (0 - -1)*(6 - w). Solve 3*d - v = 4 for d. 3 Suppose -2*p + 25 = 3*p. Solve -3 = p*m + 2 for m. -1 Suppose 12 = -s + 2*b, 5*s + 3*b = 3 + 2. Let j(a) = -5*a - 5. Let o be j(s). Solve -o*f + 1 = -4 for f. 1 Suppose 2*o - 2 + 0 = 0. Solve -z + 2*z = o for z. 1 Let j be (-2)/(-1) - 0 - 8. Let a be (-25)/(-10)*j/(-5). Solve 0*d = a*d for d. 0 Let o(n) = n**2 - 4*n + 2. Let x be ((-4)/(-3))/(7/21). Let z be o(x). Solve 0*g = z*g + 10 for g. -5 Suppose 4*z - 31 = 13. Suppose 14 + 13 = 3*n + 4*m, z = 4*n - 3*m. Solve -n*u + 3 - 13 = 0 for u. -2 Suppose 4*f - f + 55 = 4*d, 2*d + 3*f = 23. Let x = d - 8. Suppose -2*u - 2*u - x*h + 6 = 0, 22 = 3*u - 5*h. Solve -l = -0*l + u for l. -4 Let z(d) = -d**3 + 11*d**2 - 17*d - 8. Let b be z(9). Solve -2*f - 9 = b for f. -5 Let m = 11 - 9. Suppose -3*f + m*h - h = -7, 2*f - 9 = 5*h. Solve -s = -2 - f for s. 4 Suppose 5*i + 40 = -3*p, -2*p - 29 + 3 = 3*i. Let w = -14 - p. Let x = w - -6. Solve d - 1 = x*d for d. -1
{ "pile_set_name": "DM Mathematics" }
t(3) Simplify (sqrt(272)*-2 + -4 - sqrt(272) - (1*(0 + sqrt(272)) + sqrt(272)))**2 - (((sqrt(272) + 1 + -3)**2 - sqrt(272)) + 3 + 4). 180*sqrt(17) + 6533 Simplify ((1*3*(-1 + sqrt(396) + -4 + sqrt(396) + 5)*-2)**2 + 1)*5 + 5. 285130 Simplify ((sqrt(114) + 4*sqrt(114)*3 + sqrt(114) - sqrt(114)*1*-5)/(((sqrt(66) + sqrt(66)*-2)*-3)/(sqrt(66)/(sqrt(12)/sqrt(2)))))**2. 6859/9 Simplify ((-1*sqrt(7623) + sqrt(7623) + sqrt(504)/(sqrt(8) + sqrt(40)/sqrt(5)))/(-1*(sqrt(1089) + 4*(sqrt(1089) - (1*sqrt(1089) + sqrt(1089))))))**2. 7/4356 Simplify ((((sqrt(504) - (sqrt(504)*2 + sqrt(504) - sqrt(504))) + sqrt(504))*1)/sqrt(12)*4)/((sqrt(8640)*-1 + sqrt(60))/((-1*sqrt(90))/sqrt(9))). 0 Simplify ((sqrt(308) - -3*(sqrt(308) + -2*sqrt(308) - sqrt(308)))/(-1*sqrt(343)))/(6*(sqrt(64) - -3*-1*sqrt(64))). -5*sqrt(11)/336 Simplify -1 + ((sqrt(441)/sqrt(7))/sqrt(3))/sqrt(7) - (sqrt(5184)/sqrt(12) + (-3*sqrt(108))**2). -973 - 11*sqrt(3) Simplify -2 + (1*sqrt(1152) + -2*sqrt(128))/((sqrt(352)/(sqrt(33)/sqrt(3)))/sqrt(8)) + 4. 2 + 4*sqrt(2) Simplify ((-1*(sqrt(84) + sqrt(84)*-1 + sqrt(84)) - (sqrt(84)*1 - sqrt(84))*-3)*6)/(-3*(2*sqrt(192)*3 - sqrt(192))). sqrt(7)/10 Simplify ((sqrt(96) + sqrt(96) + sqrt(96)*-1*-4)/(sqrt(12) - sqrt(36)/sqrt(48)))/((5*((sqrt(64) - -1*sqrt(64)) + sqrt(64)) + sqrt(64) + sqrt(64))*-4) + 4. -sqrt(2)/34 + 4 Simplify ((-1*sqrt(121)*-3*3)/(-4*((sqrt(88) + 5*sqrt(88))/sqrt(8) - sqrt(11))))**2. 891/400 Simplify -5 + ((sqrt(931) - ((-1*(sqrt(931) - (2 + sqrt(931))))**2 - sqrt(931))) + 4 + sqrt(931) + -2 - (4 + 1*sqrt(931) + (sqrt(931) + sqrt(931)*-2)*1)**2). -23 + 21*sqrt(19) Simplify ((sqrt(9) - sqrt(144)*-1)/(sqrt(363) + (sqrt(363) - (sqrt(363) - 3*sqrt(363)))) - (-5 + 2 + (sqrt(3) - sqrt(192)) + 3 + sqrt(3) + 1*sqrt(3)))**2. 151875/1936 Simplify ((sqrt(209) + sqrt(209) + -4*sqrt(209) + sqrt(209))*1)/(sqrt(22)/(sqrt(2) + sqrt(2) + sqrt(2)*-1)) + (2*(3 + sqrt(171) + -1 + sqrt(171))*-4)**2. 1535*sqrt(19) + 44032 Simplify (-5*(1*sqrt(114)*-4 + 6*(sqrt(114)*1 + sqrt(114))))/(3*sqrt(486)*1 + sqrt(486)*2*5). -40*sqrt(19)/117 Simplify -4 + -5 + (-5*(1*sqrt(153) + -5 + sqrt(153)) + -5 + sqrt(153) + sqrt(153)*2 + -5)**2 + 3. -630*sqrt(17) + 7716 Simplify (-5 + (sqrt(147) - (3 + sqrt(147)*2))*-2 + (sqrt(1728) - (3*-2*sqrt(1728) - sqrt(1728))) + sqrt(1728) + -1*(sqrt(1728) + 1))**2. 127308 Simplify (((-4*(3 + -1 + sqrt(272)) - -1*(sqrt(272) + 1 - sqrt(272))*-6) + 5)*3)**2*-6. -239382 - 15552*sqrt(17) Simplify -5 + (1 + (sqrt(66)*3*4)/(sqrt(72)/sqrt(3)) + 0)*5. 30*sqrt(11) Simplify (sqrt(2176)*1 + sqrt(2176) + sqrt(2176) + sqrt(544)*-5)/(((sqrt(8) - sqrt(8)*-2)*3)/(-3*(sqrt(64) - sqrt(4)))). -4*sqrt(17) Simplify -1*(5 + (sqrt(42)/sqrt(6))**2)*3 - (sqrt(112) + -4 + (-3*sqrt(63))/sqrt(9)). -32 - sqrt(7) Simplify (-5 + (-4*-2*(-4 + -1 + sqrt(1088)) - 5*5*(sqrt(1088) - 2*sqrt(1088))*-6))**2. 102240*sqrt(17) + 21940457 Simplify (sqrt(76)*4*-4 + sqrt(76) + 4*sqrt(76)*2)/(-4*(-2*sqrt(32))/sqrt(8)*-6). 7*sqrt(19)/48 Simplify 1 + 0 + (-5*(sqrt(833) + 0 + -3 - (-2 + sqrt(833) + sqrt(833)*-2)))**2. -700*sqrt(17) + 83326 Simplify 5*-4*((6*2*sqrt(245)*3)**2 - (-2 + (sqrt(245) + 1)**2)*5). -6326000 + 1400*sqrt(5) Simplify (-6*sqrt(60)/(sqrt(12) - sqrt(1200)*3))**2 - (-3 + sqrt(5) + (sqrt(5)*4)**2 - (sqrt(5) - 3*(sqrt(5) + -3)**2)). -99899/841 + 18*sqrt(5) Simplify (-5 + (4*((sqrt(243)*-1 - sqrt(243) - sqrt(243)) + -2 + sqrt(243) - ((sqrt(243) + 1 - sqrt(243)) + -4)) - (1 + -3*sqrt(243)*-2)*-6))**2. 2520*sqrt(3) + 190537 Simplify ((sqrt(96)*5)/(sqrt(2)*2*-1))/(2*-1*sqrt(256) + ((sqrt(256)*-2 - sqrt(256))*2 - sqrt(256))). 5*sqrt(3)/72 Simplify ((((sqrt(110) + (sqrt(110) - (sqrt(110) + -3*sqrt(110))) + sqrt(110) - sqrt(110)) + sqrt(110))/sqrt(11))/(sqrt(80) - sqrt(80)*-5) + -5)*-4. -5*sqrt(2)/6 + 20 Simplify ((3*5*sqrt(114)*-4)/(sqrt(36)/(sqrt(6) + (sqrt(864) - (sqrt(864) + (sqrt(864) - (sqrt(864) - (sqrt(864) - 2*sqrt(864))))) - sqrt(864)) + sqrt(6))))**2. 273600 Simplify (-4*(6*(-2*(sqrt(1792) + -2) + sqrt(1792) + -5*(0 + sqrt(1792)))*-1 + 2))**2. -405504*sqrt(7) + 37166656 Simplify -2*(((sqrt(363) - (sqrt(363) + 0 - sqrt(363))*1)*1)**2 - (-3 + ((sqrt(243) + sqrt(243)*4)*3 + sqrt(243) - sqrt(243) - sqrt(243)))). -732 + 252*sqrt(3) Simplify (((2*sqrt(56) - sqrt(56))*5)/(-1*sqrt(162)))/((-2*sqrt(432) - sqrt(432))/((sqrt(96)*-2)/sqrt(8))). -10*sqrt(7)/81 Simplify 6*((5 + (-3*(sqrt(1872) + -2) - sqrt(1872)) - ((sqrt(1872) + 0)*-4 + -4*-2*sqrt(1872)))**2 + -2). -12672*sqrt(13) + 719562 Simplify (1 + sqrt(320) + -4*(sqrt(320) - (sqrt(320) + -2 - sqrt(320))) - (sqrt(125) + 0 + sqrt(125) + -3 + -3 + -2*sqrt(125)))**2 + -1. 48*sqrt(5) + 2880 Simplify -4 + 3 + 1*sqrt(17)*1 + ((sqrt(187) - -2*sqrt(187))/sqrt(11) - sqrt(17)) + (2 + sqrt(17) + sqrt(17) + 4*(1 + sqrt(17)))*-3. -15*sqrt(17) - 19 Simplify -2*-1*sqrt(1053)*-2 - (2 + 0 + sqrt(117))*-4. -24*sqrt(13) + 8 Simplify (((-1*(sqrt(105) + sqrt(105)*-1))/(sqrt(3) + 2*sqrt(108)))/(sqrt(270)/sqrt(6) + (sqrt(5) - sqrt(15)/sqrt(3)*2)))**2. 0 Simplify ((sqrt(30) + (-4*sqrt(1920) - sqrt(1920)))/(sqrt(10) + (sqrt(10) - 6*sqrt(60)/sqrt(6))))**2 + (6*1*sqrt(192))**2 + sqrt(21)/((1*sqrt(49))/sqrt(7)). sqrt(3) + 115155/16 Simplify 1 + (1 + 4*sqrt(128))**2 + (-3 + sqrt(128) + 4)**2 + 3. 80*sqrt(2) + 2182 Simplify (2*sqrt(931))**2 + 2 + 1 + sqrt(931) + -2 + 5 - ((-3*sqrt(190)*2)/(sqrt(10) + (sqrt(90)/sqrt(3))/sqrt(3) + sqrt(10)))**2. 7*sqrt(19) + 3654 Simplify -2*(3*(sqrt(396)*-1 + sqrt(396) + sqrt(396) - sqrt(396))*-3)/(sqrt(9) + 3*(3*sqrt(9) - sqrt(9)) + 2*(sqrt(324) - sqrt(9))). 0 Simplify (sqrt(104) + (sqrt(104) + (sqrt(104) - (sqrt(104) + -1*sqrt(104))) + sqrt(104) - sqrt(104))*4 - sqrt(104))/sqrt(8)*-3 - 3*((-3 + sqrt(325))**2 + 1). -1005 + 66*sqrt(13) Simplify ((sqrt(70) - -1*sqrt(70))*3 + -4*sqrt(70)*2)/(((sqrt(640) - sqrt(640)*-1) + sqrt(640) + sqrt(640) + sqrt(640))*-2 - sqrt(640)). sqrt(7)/44 Simplify ((0 + ((sqrt(25)*2)/sqrt(5) - (1 + -1 + sqrt(5))) - (2 + (sqrt(500) - (sqrt(500) + 0)) + sqrt(500) - (-6*sqrt(500)*1 + sqrt(500)))) + 3)**2. -118*sqrt(5) + 17406 Simplify (3*(sqrt(204)*-2*-3 - ((sqrt(204) - 2*sqrt(204)*-6) + sqrt(204)))*2)/((-1*(sqrt(12) - 1*sqrt(12)) + (sqrt(72)*3)/sqrt(6) + sqrt(12))*2). -6*sqrt(17) Simplify 2*(4 + (3 + (sqrt(833)*2*5)**2 + sqrt(833) - (5*(sqrt(833) + -1*sqrt(833) + 3))**2)). 14*sqrt(17) + 166164 Simplify 5*((sqrt(40)/(sqrt(8)*-3))**2 + (-2 + sqrt(5) - sqrt(5)) + 4) - (-3 + -3*(sqrt(180) + -1)*1)**2. -14465/9 Simplify (2*((-1 + sqrt(1573) - sqrt(1573) - sqrt(1573) - (sqrt(13) - (sqrt(13) + 1*sqrt(52)))) + 2 + -6*2*(sqrt(13) - (-2*sqrt(13) + 3))))**2. -13320*sqrt(13) + 110776 Simplify ((sqrt(30) + -1*sqrt(90)/sqrt(3) - sqrt(210)/sqrt(63))*-1)/(3*(sqrt(10) - (sqrt(30)/sqrt(3)*-5 - sqrt(10)))*4). sqrt(3)/252 Simplify 2*1*(-5 + 1*((3*sqrt(266))/sqrt(7))/sqrt(2)). -10 + 6*sqrt(19) Simplify 3*(((-2 + sqrt(720)*2)**2 - (sqrt(720)*2 + 4 + sqrt(720))) + -6*(sqrt(720) + 1 + 0 + sqrt(720)) + -1). -828*sqrt(5) + 8619 Simplify -1 + (sqrt(77)*-2*-5 - ((sqrt(77) - 3*(sqrt(77) - -1*sqrt(77))) + sqrt(77)))/(-2*sqrt(88)/(sqrt(8) - (sqrt(72)/sqrt(9) - sqrt(8) - sqrt(8)))). -14*sqrt(7) - 1 Simplify (((sqrt(168)/sqrt(3))/sqrt(4))/(sqrt(162)/sqrt(9)) - (sqrt(1372)/sqrt(4) - (-3*sqrt(7) + 3)))**2. -58*sqrt(7) + 5968/9 Simplify ((2*(sqrt(18)/sqrt(6) - sqrt(3)) - (sqrt(192) + 2 - sqrt(192))) + (sqrt(84) + -1*sqrt(84))/sqrt(7) + -1)**2. 9 Simplify -4*(((-4*(1 + sqrt(11)))**2 + sqrt(121)/(sqrt(22)/sqrt(2)) - (sqrt(1375) + (sqrt(1375)*2 - sqrt(1375)))/sqrt(5)) + 5) + -5. -793 - 92*sqrt(11) Simplify ((sqrt(380)*-4)/sqrt(10) - sqrt(152)/sqrt(256))/(-2*sqrt(20)/(sqrt(810)*3 - sqrt(810))). 297*sqrt(19)/8 Simplify (-3 + sqrt(325) + 3 - -4*(1 + sqrt(325)))**2 + -6*-1*(sqrt(1053) + (sqrt(1053)*1 - sqrt(1053)))*6. 524*sqrt(13) + 8141 Simplify 1 + (sqrt(120)/(sqrt(4)*4) - sqrt(120)/sqrt(36))/(((sqrt(490) - (sqrt(490) - 1*(sqrt(490)*2 + sqrt(490))) - sqrt(490)) + sqrt(490))*2). -sqrt(3)/504 + 1 Simplify (3*sqrt(1280)*2)/(sqrt(196)*-3 - sqrt(256)*2) + 2. -48*sqrt(5)/37 + 2 Simplify (2 + -1*sqrt(567)*5 + (sqrt(2240)*3)/sqrt(5))**2. -84*sqrt(7) + 3091 Simplify (1*(sqrt(200) + sqrt(200) + 1) + (sqrt(50) - sqrt(50)*3 - (sqrt(20) - sqrt(500))/sqrt(10)))**2. 28*sqrt(2) + 393 Simplify (-5*(sqrt(204) - -2*sqrt(204)*2)/(sqrt(12) - sqrt(48)/sqrt(4
{ "pile_set_name": "DM Mathematics" }
/g)/g*g))*g)/g)/(g/g**(2/7)*g**(2/17)*g*g)*(g/((g*g/g**(-3/7))/g)*g**(10/3))**42 assuming g is positive. g**(124178/1071) Simplify (((g/g**(1/3)*g**(2/5)*g)/(g/(g**(2/3)/g*g)*g)**46)**(2/37))**42 assuming g is positive. g**(-24892/185) Simplify (d/((d/((d**7*d)/d)*d)/d)*d/(d/d**(-1/2)))**(-16)/((d**(2/3))**(-2/19)/(d**1)**(-34)) assuming d is positive. d**(-7862/57) Simplify ((q*q*(q/((q*q**(-2/3))/q))/q)/(q**5*q))**44*(q**(3/2)/(q*q*q**(-2/7)*q))/((q*q**(-1/4))/(q**(3/4)/q)) assuming q is positive. q**(-6253/42) Simplify (t**(-1/41)*t**48*t*(((t*t**(-43)*t)/t)/t)**(-45))**(-11) assuming t is positive. t**(-894773/41) Simplify (n*n**(-16)*n*n**6*(n**(11/5))**(-44))**(5/3) assuming n is positive. n**(-524/3) Simplify ((x*x**(1/3)*x)/x)**(-2/21)*((x*x/((x**(-1)*x)/x)*x)/x)**(-1/4)*((x**(-1/3)/x)/x**3)/(x**(-1/2))**(-21/4) assuming x is positive. x**(-3949/504) Simplify ((p/p**(-13)*p**(-13)/p*p*p**(1/3)/p**10)**(-29))**43 assuming p is positive. p**(32422/3) Simplify (p**(-3/4)*p*p)**28*(((p**(-2/127)*p)/p)/p)**(-12) assuming p is positive. p**(5993/127) Simplify (((f**(-2/17)*f*f*f/(f/f**(-5)))**17)**35)**(8/17) assuming f is positive. f**(-14840/17) Simplify (((b/b**(2/11)*b*b)/(b*b/b**(-2/15)))/(b**(5/6)*b**2/b))/((b*b**(2/3))**(-9/4))**(-45/7) assuming b is positive. b**(-116681/4620) Simplify (h**8*h*h*h*h**(-1)*h*h)**(-1/38)*(h/(h/(h*h*(h**2/h*h)/h)))/h**(2/13)*h/(h*h/(h/h**(1/8))*h)*h**(-3/7) assuming h is positive. h**(13511/13832) Simplify ((n*n**(-1/4)*n)**(-4/9))**(-3/4)*(n**(-1/5)*n)**(-10)*(n**(2/3)*n)**25 assuming n is positive. n**(137/4) Simplify ((g/g**1)**(-35/6))**(-4/39)*(((g*(g*g**(2/7))/g)/g)/g)**(-17)/(g*g*(g**0/g)/g)**45 assuming g is positive. g**(85/7) Simplify (((f*f**11)/f*(f/(f**(-1/3)*f))/f*f**(-1/3)/(f*f**10))**(4/25))**(-7) assuming f is positive. f**(28/25) Simplify ((j*j**4*j/(j/(j/(j**39/j))))**(-1/26))**(-37) assuming j is positive. j**(-592/13) Simplify ((t**(-7)/t*t**7)/((t**(-2/15)/t)/t*t*t/(t/t**(1/2)*t)))/(((t**(-2/19)/t)/t*t**(-3/2))/((t*t**(2/9)/t)/(t/(t*t**0)))) assuming t is positive. t**(3814/855) Simplify (f*f**(-5)*(f**(4/3)/f)/f)**47*(f**(-7/2)*f**(-2/9))/(f**(1/3)*f)**(-1/73) assuming f is positive. f**(-293071/1314) Simplify (i**(2/5)*i*i**(-3)*((i*i**(-5))/i)**(-2/5))**(-9) assuming i is positive. i**(-18/5) Simplify (((c*c*c*c*c*c**(-2)*c)**20*(c*c/(c/(c/c**(-1))*c*c))/c*c*c/(c/(c/(c/(c/c**(1/7))))*c))**43)**(-10/7) assuming c is positive. c**(-243380/49) Simplify (p**(5/6)/p*p**1)**(-33)/(p**(-2/9)/(p*p**2))**(-24/7) assuming p is positive. p**(-1619/42) Simplify (((i/(i/i**(1/3)))/i)**(-2))**(-27)*(i**(1/2)/i)**(-12)/((i*i**(2/5)/i)/(i*i**(1/4)/i*i)) assuming i is positive. i**(-583/20) Simplify ((j*j/(j/(j*(j**(-2)*j)/j))*j*j*j**(-6/7)*j*j)/(j/(j/(j/j**0)))**(-2/21))/((j*j**0/j)**(-3/29)*(j/(j*j/(j**(4/5)*j)*j))/j*j**2) assuming j is positive. j**(256/105) Simplify ((z/z**(-2/7))/((z**0*z)/z))/(z**1/(z**(-6)/z))*((z/(z/(z/((z/z**(1/6)*z)/z)))*z)/z**(3/7))/(z**1/z)**(-6/7) assuming z is positive. z**(-251/42) Simplify (f**(-1/2))**26*(f*f**0)**(5/6)*(((f*(f**(-3/7)*f)/f)/f*f)/(f**5*f))/(f**(2/3)/(f*f**(1/4)*f)) assuming f is positive. f**(-1345/84) Simplify (c**(-2/7)/c**(-5/6)*(c**(-1/5))**11)/(c**(2/9)*c/(c*c/(c*c**(2/5)/c)*c))**(-2/21) assuming c is positive. c**(-3371/1890) Simplify ((q**(4/7)/(q**(-3)/q))/((q*q*q*q**(-5/6))/(q**(5/6)/q)))/((q/q**1)**(-4/3)*(q/(q*q**(-1/9)))/q**1) assuming q is positive. q**(197/63) Simplify t**(-3)/(t*t**(1/4)*t)*(t**(1/9)*t)/t**(2/13)*(t*t/t**(2/7))**(-7)/(t*t**3*t*(t/(t/((t*t*t/(t*t**(-1)))/t))*t)/t) assuming t is positive. t**(-10901/468) Simplify y/y**(-8)*(y**(-1/2)*y)/y*(y**(2/7)/y)**(6/23)*((y*y**(-1/15))/(y/(y/((((y**11*y)/y)/y)/y))))**34 assuming y is positive. y**(-1284553/4830) Simplify y**(2/9)/(((y*y**3*y)/y)/y*y)*(y**(2/3))**18*((y*y*y**(2/3)/y)/(y/(y/(y**(-3/4)*y))))/((y/y**(-1)*y)/y)**(10/17) assuming y is positive. y**(5179/612) Simplify ((v**(-3)/v)/(v/v**(2/9)*v))/((v**(-7)/v)/((v**(-5)/v)/v*v))*v**(-3)/v**(-9)*(v/(v/(v/v**(-1/10))))/(v**0*v*v) assuming v is positive. v**(119/90) Simplify (((z**(-1/4))**(-20)*z**(-5/2)*(z*z/(z/z**(4/11)))/z)**(-3/17))**(-5/7) assuming z is positive. z**(135/374) Simplify ((t**1/(t*t**(-9)))/(((t*t**(-3/2)*t)/t)/(t/t**4)))**(-43) assuming t is positive. t**(-559/2) Simplify ((x*x/(x*x*(x**(-6)*x)/x))/(x*x**(3/7)))**(-50)*(x**0/x)**34*(x**1)**(-9) assuming x is positive. x**(-1901/7) Simplify (o**(-2)*o/o**12)**(-2/19)/((o**5*o)**(-18/13))**(1/57) assuming o is positive. o**(374/247) Simplify ((g/(g*g*g**17))**(-50)*g**(5/3)/(g/((g*g**(2/41))/g*g)))**(7/13) assuming g is positive. g**(776377/1599) Simplify ((x**(-1))**(-39)*(x*x/x**(4/7))/(x*x**(-2/23)))/((x**(-8)/x)/x**7*x**(-2/3)*x**(-2/23)) assuming x is positive. x**(27178/483) Simplify (v/v**2*v)/v**(1/5)*v**(-3)/v*v/(v*v**(-2/7))*v**7/(v*v**(-2))*((v*v**0*v)/v)/v**(-6) assuming v is positive. v**(388/35) Simplify (t/(t*(t*t/t**(-2))/t))**(13/7)/(t**(1/8)*t/t**(-1)*t)*((t**3)**(-7))**2 assuming t is positive. t**(-2839/56) Simplify (a**8)**(3/4)/((a/(a**(1/46)*a))/a*a)**(-21) assuming a is positive. a**(255/46) Simplify (((n*n**29)/((n*n*n*n**(-26)/n*n)/n))/(n**(-17))**(-16))**30 assuming n is positive. n**(-6540) Simplify (((h**0)**(1/25)/(((((h/h**(1/19))/h)/h)/h)/((h/(h/h**(-6)))/h)))**(-37))**(-14) assuming h is positive. h**(-48692/19) Simplify ((b**42*b*b)/b**7)/(b/((b**42/b)/b)*b*b/(b/(b*b/(b/(b/(b**25*b)*b))))) assuming b is positive. b**98 Simplify (c**(-29)/(c**(-1/43)*c))/(c**27*c/(c/(c/c**(-7)))) assuming c is positive. c**(-2794/43) Simplify ((o*o/(o/o**2))/((o**(-2/5)/o)/o))/(o/(o**(-1)/o)*o)**(-34)*((o*o**(-1))**(-18/11))**(-37) assuming o is positive. o**(707/5) Simplify ((j**(8/7)*j)/j**9)**(-27)*(j/j**(-6/17)*j*j**(-1/10))**(2/33) assuming j is positive. j**(3637961/19635) Simplify (c**(-2/7)/(c*c/(c*c**8)))**(-32)*(c**(1/4)*c**(-3/5))/(c*c/(c**(-2/5)*c)*c*c*(c/(c*(c**(-4)/c)/c*c))/c) assuming c is positive. c**(-6233/28) Simplify ((v**(-1/5))**(-3/8)*(v/((v/((v*v*v**(-10))/v))/v))**(-34))**(-26) assuming v is positive. v**(-141479/20) Simplify j/(j/(j/(j/(j/(j*j/(j**6*j))))))*j*j*j**(-4)*j*j*j*j*j**(-7)*j/(j**7*j*j*j)*j*(j**(-7)/(j**(-3/4)*j))/(j/j**(-2/9)*j)**33 assuming j is positive. j**(-1051/12) Simplify ((((u*u**(-1)*u)/(u*(u**(-3/4)*u)/u))/(((u*u/u**(-2))/u)/(u/(u**(-6)*u))))**(-22))**(-38) assuming u is positive. u**3135 Simplify (((g**(-1))**(-1/11)/(g**0)**(4/3))**5)**13 assuming g is positive. g**(65/11) Simplify ((s**(-1)*s**(1/2)/s*s)/(s/(s/((s**(-1/3)*s)/s)))**(31/5))/(s**(2/13)*s**6/s*(s*s/(s**(-2/7)*s)*s)**(-6/7)) assuming s is positive. s**(-31111/19110) Simplify ((z**(-1))**(-18)/((z*z**(-4)*z*z*z*z)/(z*z*z**(2/3)*z)))/((z**(-3/2)*(z**(1/3)/z*z)/z*z)/(z**(-4)/(z*z*z**7*z))) assuming z is positive. z**(47/6) Simplify (k**(1/6)*k*(k*k**(3/2)*k)/k)**49/((((k/k**(-1))/k)/k)**1*k**(-6)*k**0) assuming k is positive. k**(557/3) Simplify ((a**1)**(1/15)/(a**(-6)/(a*a*a/a**(3/4))))/((a**(-1))**(-22))**(-3/7) assuming a is positive. a**(7453/420) Simplify ((u**19/u**(-5/4))/((u*u**(-1/25)*u)/((u*u*u*u**(1/12))/u*u)))**(-5) assuming u is positive. u**(-1603/15) Simplify ((m**(-5)*m**(6/11))/(((m*m**(-3))/m)/m*m*m/(m/m**(-8/5))*m))**(-21) assuming m is positive. m**(987/55) Simplify (j**1*j**(-8/3)*j*j**(-1/4)*j*(j*j*j**(-1))/j)/(j/j**(-2/21)*j**(1/2))**(-15) assuming j is positive. j**(2017/84) Simplify ((((j/j**(-2/3))/j)**(-24)/(j**(-3)*j/(j*j**(-1/6))))**(-1/3))**(8/3) assuming j is positive. j**(316/27) Simplify ((x*x/(x/x**(-1/3))*x)**(-1/3)*x/(x/x**4*x)*x/x**(-3)*x)/((x*x**2*x)**2)**(10/3) assuming x is positive. x**(-173/9) Simplify (h*h**36*h*h)/((h/(h*h**(-7)))/h)*h**(-9)*h*h**(2/51) assuming h is positive. h**(1277/51) Simplify (l/((l/(l**(-46)/l))/l))/l*l**(-31)*l*l*(l*l*l*l**(2/31))/(l/((l**(2/9)/l)/l)) assuming l is positive. l**(-21124/279) Simplify ((o*o**4*(o/(o**2*o))/o)/(o**(2/11)*o**(-2/23)))/(o**4*(o/o**(-6)*o)/o*(o/o**(-5))/(o/o**(-6))) assuming o is positive. o**(-2048/253) Simplify ((g/g**5)**(-41)*(g**10*g)/(g**(-1/2)*g))**(-11/5) assuming g is positive. g**(-3839/10) Simplify ((u**(-7)*u)/u*((u/(u/(u*u**(-5)/u)))/u*u)/u*u)**(-27)*(u**1)**(-11)*(u*u*u**2/u*u)/(u**(-4)/u) assuming u is positive.
{ "pile_set_name": "DM Mathematics" }
60. Let k = w + -5. Does 10 divide k? True Let l = -1458 - -2109. Is l a multiple of 19? False Let a(o) = -o**2 - 8*o - 7. Suppose 4*f + 28 = -0*f. Let m be a(f). Does 4 divide (-2 - (m - 0))*-2? True Let p(r) = 2*r - 4. Let a be p(3). Let v = 6 - a. Suppose t + 0*b - b - 25 = 0, 0 = -3*t - v*b + 47. Is 21 a factor of t? True Let n be 90/(-4)*12/(-10). Suppose 0 = 4*t, -k + 0*k = -2*t - n. Is 9 a factor of k? True Let r(j) = j**3 - 37*j**2 - 51*j - 6. Is r(39) a multiple of 62? False Let m = 58 - 52. Let z be (-44)/(-10) + 6/(-15). Suppose m = 2*c, z*c = w - 2*w + 46. Is w a multiple of 17? True Suppose 0 = -m + 5*u - 2*u + 3661, 3*m - 10973 = -u. Is m a multiple of 26? False Let r = -58 - -51. Let g(a) be the second derivative of -5*a**3/2 + 7*a**2/2 - a. Is g(r) a multiple of 34? False Let i(j) = -j**3 - j**2 + 1. Let u be i(-3). Suppose 0 = 3*t - 4*o - u, 2*t + 4*o = -0*o + 6. Suppose t*q - 191 = 89. Is q a multiple of 15? False Suppose -4*m + 20 = -2*m. Suppose m*n - 273 = 67. Is n a multiple of 18? False Let z = -246 - -175. Let i = 186 + z. Does 12 divide i? False Suppose -5*t + 1040 + 2400 = 0. Suppose 123 = -5*b + t. Let d = b + -32. Is 19 a factor of d? False Is 6 a factor of -15*10/(-45)*6? False Let y(r) = -2 + 43*r - 10*r**3 - 2*r**2 - 88*r + 43*r. Let l = 1 - 3. Is 19 a factor of y(l)? False Suppose -241 + 1645 = 3*m. Let c be (m/(-30))/((-6)/40). Suppose -5*b + 76 = -c. Is 8 a factor of b? False Suppose t - 2*z - 20 = 0, -4*z = 4*t - 9*z - 74. Let d = t - 3. Suppose -p + 14 = -d. Is 6 a factor of p? False Suppose -232 = -4*s - 64. Is s/(-1 - -1 - (2 + -3)) a multiple of 6? True Let m(l) = 18*l**2 + 38*l - 1. Does 17 divide m(3)? False Suppose 2*g - 150 = -z + 361, -3*z = -3*g - 1515. Does 13 divide z? True Let q(h) = 13*h**2 + 26*h + 49. Is q(-8) a multiple of 21? False Let c = -3476 - -6084. Is 16 a factor of c? True Let h = -385 - -551. Does 16 divide h? False Let n(o) = 8*o + 75. Is n(12) a multiple of 19? True Is 36 a factor of (-69564)/(-310) - (-2)/(-5)? False Let t(c) be the first derivative of c**4/4 - 5*c**3/3 - 3*c**2 - 11*c + 21. Is t(7) a multiple of 20? False Let o be 3 + -1 + -2 + 12. Let l(h) = 0*h - 4*h - 5*h - 8 - 4*h + 14*h. Is l(o) even? True Suppose -43*r = 49*r - 148120. Is r a multiple of 46? True Suppose 4*n + 748 = 4*f, -5*f + 1542 - 607 = 2*n. Let i = f - 134. Is i a multiple of 3? False Suppose -2*b + 4 = -2. Suppose 2*s + b*s - 10 = 0. Suppose s*g + 0*g = 150. Is g a multiple of 25? True Let g(m) = 9*m**2 + 5*m - 2. Let z be g(3). Let l = -10 + z. Is 21 a factor of l? True Let h(g) = -g**3 - 7*g**2 - 9*g - 7. Suppose -6*b + 8*b - 20 = 0. Suppose 4*i + 12 = -3*x, -b = i - 2*x + 4. Does 9 divide h(i)? False Suppose s + 0*s - 40 = 0. Let a be 10/s + (-5)/4. Let w(g) = -16*g**3 - g**2. Does 15 divide w(a)? True Suppose -m = 5*v - 21, m - 16 = -5*v + 5*m. Let n be (3/12)/(1/v). Let z(i) = 16*i**2 - i. Is z(n) a multiple of 5? True Let v(i) = -7*i + 21. Let x(g) = -g**2 - 4*g + 6. Let q be x(2). Does 5 divide v(q)? False Let v = 42 - 36. Suppose -464 = -10*h + v*h. Does 22 divide h? False Let h(z) = 8*z - 1. Let r be h(-3). Suppose -q + 11 = -5*i - 7, 15 = 2*q - 3*i. Is 7 a factor of (q - r/15)*3? True Let t be -10 - -2 - -1 - -1. Let o be (-1)/(2/(-6)*24/(-32)). Is 27 a factor of 3/t - 326/o? True Let x = -18 + 5. Let h = x + 21. Let q(w) = w + 18. Does 7 divide q(h)? False Let q(j) = j**2 + 6*j + 32. Let y(k) = -6*k**2 - 29*k - 162. Let n(b) = -11*q(b) - 2*y(b). Does 19 divide n(18)? True Let m(i) = -i**2 + 9*i. Suppose 0 = -4*x + 8 + 16. Is 8 a factor of m(x)? False Let z(x) = 4*x**3 - x**2 + 11*x - 6. Let y(l) = 5*l**3 - 2*l**2 + 12*l - 6. Let q(p) = 5*y(p) - 6*z(p). Suppose -11 = 4*a - 35. Is 11 a factor of q(a)? False Suppose 7 = -3*y + 31. Is 7 a factor of y - (3/9 + 14/(-6))? False Suppose 0 = -g - 2, -12 = 3*h - 4*g - 86. Let q(v) = -h*v - 13 - v**3 - 8*v - 13*v**2 + 16*v. Is 6 a factor of q(-12)? False Suppose -95 = -2*c - 5*u, -2*c = -7*c - u + 272. Suppose 279 = 5*y - h, -y + 2*h + c = h. Does 14 divide y? True Let x = -11 - -56. Let p = x - -51. Is p a multiple of 24? True Let h(a) = 27*a - 6. Let f be h(4). Suppose 0 = 5*z - 2*o - 327, 4*z - 182 = -4*o + f. Is 16 a factor of z + -3*(-3 + 4)? True Suppose -2*v + 3 = -v, v = -5*g + 18. Let a(m) = -2*m - 3. Let b be a(-4). Suppose -p - g*o + b*o = -35, 16 = -4*o. Does 9 divide p? True Let m(f) = 93*f + 60. Does 5 divide m(5)? True Is 10 a factor of (2612/8 - 3/(-2)) + 2? True Suppose 0 = 10*x - 13*x + 1368. Suppose -r = 7*r - x. Is r a multiple of 8? False Suppose -3*o - 22 = 5*k, -4*k + 0*o - 4*o = 24. Let w be 128 + (-4 - k/1). Suppose w = 24*q - 21*q. Is q a multiple of 7? True Is (-30)/(-150) - 2658/(-10) a multiple of 19? True Let n be 2/(-8) - (-1875)/12. Suppose -6*q - n + 1074 = 0. Suppose l + q = 4*l. Is l a multiple of 10? False Suppose -7*g = -2 - 47. Let w = 82 - g. Is 25 a factor of w? True Let h(t) = t**2 + 2*t + 1. Suppose -y - 15 = -6*y. Let a be h(y). Suppose -2*z + z = -a. Is z a multiple of 9? False Let q(s) = -161*s**2 + 1. Let i be q(-1). Let o = -133 - i. Is o a multiple of 9? True Let d(v) = 6*v - 22. Let p be d(12). Let g = p - -18. Does 17 divide g? True Suppose 4*n = 2*n + 254. Let z = -50 + n. Does 18 divide z? False Suppose 0 = -2*g + t + 159, 18 + 7 = -5*t. Is g a multiple of 7? True Let u(v) = -15*v - 12. Let b(f) = -14*f - 11. Let o(n) = 4*b(n) - 3*u(n). Does 17 divide o(-5)? False Let p(b) = -2*b - 7. Let z be p(-5). Suppose 4 = -i, -i - 4 + 0 = z*u. Is (u + 28)/(0 + 2) a multiple of 6? False Suppose -2*p + 137 + 583 = -4*q, -5*p + 1848 = 2*q. Is 23 a factor of p? True Suppose -2*l + 10 = 4*b + 3*l, -2*b + 2*l + 14 = 0. Suppose 10*w = b*w + o + 192, -4*w - 3*o = -146. Does 19 divide w? True Let t = -1 - -1. Suppose -2*a - 1 + 7 = 0. Suppose -b - 3*b + 280 = 5*m, t = -m - a*b + 56. Is m a multiple of 12? False Let t = -1784 + 2545. Is t a multiple of 13? False Suppose 0 = -27*d + 5*d + 39468. Is d a multiple of 37? False Is (-434 - 1)*(12/9 - 2) a multiple of 17? False Suppose 0 = -12*t + 30*t - 35100. Is 24 a factor of t? False Let t(b) be the first derivative of -b**3/3 - 9*b**2/2 - 13*b - 11. Let n(h) be the first derivative of t(h). Does 21 divide n(-15)? True Does 21 divide 2/(-2)*(8 + -525)? False Let o = 4388 - 2952. Does 48 divide o? False Let s(m) = -1. Let t(p) = -3*p + 3. Let z(q) = -5*s(q) + t(q). Suppose -4*h + 2 = 46. Is z(h) a multiple of 16? False Suppose 7 = 4*n - 1. Suppose -7*x + 1053 = n*x. Is 39 a factor of x? True Let l be 1/(((-3)/(-3))/2). Suppose -l*a + 3*a = 5*t + 29, 2*t + 14 = a. Suppose 7*y = a*y + 108. Does 18 divide y? True Let l(t) = t**3 - 11*t**2 + 5*t - 23. Is l(11) a multiple of 2? True Suppose -4*x = -3*x - 7. Let p be (x/(-4))/(3/(-12)). Suppose 3*d = 5*r + p*d - 74, 25 = 2*r - 3*d. Is 5 a factor of r? False Let i(u) = u**2 + 10*u - 19. Let t be i(-17). Is (33/(-22))/((-2)/t) a multiple of 10? False Let r = -2405 + 4912. Does 23 divide r? True Let b(y) = -5*y**2 + 12*y - 10. Let i(c) = 4*c**2 - 11*c + 10. Let k(t) = 5*b(t) + 6*i(t). Let d be (1 - 3)*((-90)/(-12) + -5). Is 15 a factor of k(d)? True Suppose -5*i = -0*i - 25. Suppose i*n + 0*g + 3*g - 37 = 0, -25 = -n - 5*g. Suppose n*p - 3*p = 80. Is 11 a factor of p? False Let j = 14 - 3. Is 7 a factor of 4/5*(4 + j)? False Let c be 0/(2 + -3) - 5*-20. Let q = 166 - c. Is q a multiple of 22? True Let c(j) = -361*j - 742. Is 58 a factor of c(-8)? True Let b be 3/(-12) - 959/(-28). Suppose -19 + b = 3*z. Let t(a) = a**2 + 9*a + 6. Does 10 divide t(z)? False Suppose -5*l - 3*s + 4998 = 0, 0 = l - 2*s - 354 - 656. Is 30 a factor of l? False Let h = 1935 + -696. Does 7 divide h? True Let h(s) = s**2 + s - 3. Let p be h(0). Let v be (p - 1)/4 - -68. Let b = v + -7. Is b a multiple of 15? True Does 39 divide -1 + -2 + 1 + (-3250)/(-25)? False Let i be ((-25)/10)/(2/(-4)). Suppose 5*u - l = 680, 2*u = -2*u - i*l + 515. Is u a multiple of 36? False Suppose -i = 3*p - 1998, -6*i + 2*p = -7*i + 1995. Does 17 divide i? True Let u be (-4)/(-3) - 0 - 10/(-15). Suppose 6*w - u*w - 320 = 0. Does 16 divide w? True Let r(a) = a**3 - 9*a**2 - 6*a - 7. Let z be r(11). Let d = z - 97. Is d a multiple of 12? True Does 18 divide (0 + 7 + -2)*(451 +
{ "pile_set_name": "DM Mathematics" }
9/6594. 13188 Calculate the smallest common multiple of 32 and 3016. 12064 Find the common denominator of 21/20680 and -145/12408. 62040 Find the common denominator of 27/841 and -73/58. 1682 Find the common denominator of -53/880720 and 121/220180. 880720 What is the least common multiple of 230880 and 92352? 461760 Calculate the least common multiple of 35728 and 298816. 3286976 Find the common denominator of -53/20870 and -25/37566. 187830 What is the lowest common multiple of 748 and 2754? 60588 What is the smallest common multiple of 904 and 104638? 418552 Calculate the smallest common multiple of 20 and 268204. 1341020 What is the common denominator of 95/12 and 19/1258? 7548 Calculate the common denominator of 145/2016 and -181/150. 50400 Calculate the lowest common multiple of 3082 and 8978. 206494 Find the common denominator of 61/87 and 44/6819. 197751 Calculate the common denominator of -83/32526 and 41/2340. 325260 Find the common denominator of -113/250 and -61/1175. 11750 What is the common denominator of 29/520 and 17/64870? 259480 What is the lowest common multiple of 195 and 546? 2730 What is the lowest common multiple of 16 and 40494? 323952 What is the least common multiple of 12730 and 2345? 89110 Calculate the common denominator of 5/105424 and -87/95840. 1054240 What is the common denominator of -101/7210 and -209/519120? 519120 Find the common denominator of -139/132 and 125/48996. 538956 What is the lowest common multiple of 408 and 16541? 396984 What is the lowest common multiple of 22 and 5529514? 60824654 Calculate the least common multiple of 798 and 26334. 26334 What is the smallest common multiple of 816 and 384? 6528 Calculate the lowest common multiple of 1188 and 216. 2376 Calculate the smallest common multiple of 264 and 3828. 7656 Calculate the common denominator of 49/3 and 109/2846492. 8539476 What is the smallest common multiple of 12792 and 702? 115128 What is the lowest common multiple of 2593 and 40? 103720 What is the common denominator of 143/132252 and 25/12? 132252 Calculate the smallest common multiple of 740870 and 820. 1481740 Calculate the common denominator of -43/54 and 137/15996. 143964 What is the common denominator of 43/135 and -92/67005? 201015 Calculate the common denominator of 59/3423 and 31/70. 34230 What is the smallest common multiple of 234 and 37518? 112554 Calculate the common denominator of 79/144 and 131/288. 288 Calculate the lowest common multiple of 645 and 11. 7095 What is the least common multiple of 3516 and 3516? 3516 What is the common denominator of -76/705 and -37/1725? 81075 What is the common denominator of -5/123786 and 8/7? 866502 What is the common denominator of 53/2366 and 23/2704? 18928 What is the smallest common multiple of 5838 and 46704? 46704 What is the lowest common multiple of 11228 and 296? 830872 What is the smallest common multiple of 1 and 69913? 69913 What is the common denominator of 29/25360 and -19/12680? 25360 Calculate the least common multiple of 6 and 4995. 9990 What is the least common multiple of 2958 and 26622? 26622 What is the least common multiple of 38456 and 12? 115368 What is the lowest common multiple of 7638 and 1206? 22914 Find the common denominator of 143/588 and 101/3948. 27636 What is the common denominator of -53/1797 and -83/17970? 17970 Calculate the common denominator of 35/372 and 43/68835. 8535540 Find the common denominator of 4/28237 and 97/102. 169422 Calculate the lowest common multiple of 30924 and 11. 340164 Calculate the common denominator of 5/783 and -11/22272. 200448 What is the lowest common multiple of 294 and 15? 1470 Find the common denominator of 56/3055 and 17/41830. 543790 Calculate the least common multiple of 1361520 and 16740. 4084560 What is the least common multiple of 1200 and 3680? 55200 What is the common denominator of 19/6 and -55/183882? 183882 Calculate the lowest common multiple of 24 and 366252. 732504 What is the smallest common multiple of 1292 and 2? 1292 What is the common denominator of 92/1828725 and 151/60? 7314900 Calculate the least common multiple of 259652 and 1668. 778956 What is the lowest common multiple of 4 and 1177012? 1177012 Calculate the common denominator of -69/119119 and -59/2145. 1786785 What is the least common multiple of 7980 and 140? 7980 Calculate the least common multiple of 2759 and 126728. 11278792 Calculate the common denominator of 9/25616 and 11/2. 25616 What is the common denominator of -33/124304 and 49/914? 124304 Find the common denominator of -83/156 and 85/117754. 706524 What is the lowest common multiple of 1216 and 336? 25536 Calculate the lowest common multiple of 2133 and 123. 87453 What is the least common multiple of 1982 and 24? 23784 Find the common denominator of 149/1170 and 1/59220. 769860 What is the common denominator of 115/6 and -34/128499? 256998 What is the common denominator of 45/121972 and 19/10? 609860 Calculate the smallest common multiple of 1270 and 1296. 822960 What is the common denominator of -71/2332 and 22/1219? 53636 Calculate the common denominator of -45/25291 and -13/147. 531111 Find the common denominator of -77/1017 and -74/15255. 15255 What is the least common multiple of 23748 and 65307? 261228 Calculate the smallest common multiple of 75 and 59943. 1498575 What is the common denominator of 145/24 and -211/99960? 99960 What is the common denominator of -139/78 and 20/59967? 1559142 Find the common denominator of -8/67047 and 29/6. 134094 What is the smallest common multiple of 792306 and 220085? 3961530 Calculate the least common multiple of 49497 and 49497. 49497 Calculate the least common multiple of 1470 and 9590. 201390 Calculate the smallest common multiple of 738610 and 3170. 738610 Calculate the least common multiple of 224 and 1. 224 What is the least common multiple of 396 and 132? 396 Calculate the common denominator of -99/2 and 53/813388. 813388 Find the common denominator of -27/52325 and -32/3055. 2459275 What is the lowest common multiple of 11289 and 5325? 282225 What is the lowest common multiple of 33402 and 627? 367422 What is the least common multiple of 54 and 13678? 369306 Calculate the smallest common multiple of 21 and 420237. 2941659 Find the common denominator of -89/4892 and -97/7338. 14676 Calculate the common denominator of 43/11 and 37/10186. 10186 Calculate the common denominator of -32/75 and -139/32200. 96600 What is the common denominator of 99/24556 and 3/56? 49112 Calculate the common denominator of 79/68232 and -83/48. 136464 Calculate the lowest common multiple of 1950 and 1365. 13650 What is the common denominator of 49/553436 and 61/156? 1660308 What is the smallest common multiple of 34 and 2518? 42806 Calculate the least common multiple of 95210 and 20. 190420 Calculate the smallest common multiple of 201025 and 16555. 1407175 What is the common denominator of 13/47400 and 63/20? 47400 Calculate the common denominator of 1/8 and -67/1724146. 6896584 Calculate the smallest common multiple of 40 and 12136. 60680 What is the common denominator of 107/1224 and -47/56? 8568 Find the common denominator of -46/122543 and -25/14632. 980344 What is the least common multiple of 1212 and 3612? 364812 What is the common denominator of 131/25830 and -19/280? 103320 What is the smallest common multiple of 130803 and 267? 11641467 Calculate the lowest common multiple of 132 and 1914. 3828 Calculate the common denominator of 33/9104 and 83/22760. 45520 Find the common denominator of 111/44 and -17/5376. 59136 Calculate the lowest common multiple of 502180 and 40. 1004360 Calculate the least common multiple of 920 and 1725. 13800 What is the lowest common multiple of 215564 and 24? 1293384 Calculate the common denominator of -191/1578210 and -73/5091. 1578210 Calculate the smallest common multiple of 6 and 1414150. 4242450 Calculate the smallest common multiple of 15824 and 1564. 269008 What is the least common multiple of 220 and 5885? 23540 What is the smallest common multiple of 2249685 and 3? 2249685 What is the least common multiple of 366 and 24? 1464 What is the lowest common multiple of 65982 and 43988? 131964 Calculate the smallest common multiple of 58920 and 15. 58920 Wha
{ "pile_set_name": "DM Mathematics" }
hat -3*t**2/7 - 1293*t/7 - 10152/7 = 0. -423, -8 Let 195*r**4/2 - 531*r**3/2 - 8937*r**2/2 - 18225*r/2 - 2187 = 0. What is r? -3, -18/65, 9 Factor 2*x**2/3 - 19532*x - 117216. 2*(x - 29304)*(x + 6)/3 Let -3*h**2 + 189*h + 1704 = 0. What is h? -8, 71 Find r such that 2*r**3/25 - 4644*r**2/25 - 744*r - 18608/25 = 0. -2, 2326 Factor -3*q**3 - 186*q**2 - 1623*q - 3276. -3*(q + 3)*(q + 7)*(q + 52) Factor 158*f**2 + 1418*f - 36. 2*(f + 9)*(79*f - 2) Suppose 5*q**2/4 + 13*q/4 - 187 = 0. What is q? -68/5, 11 Determine j so that 5*j**4 + 1935*j**3 - 5930*j**2 - 31260*j - 23400 = 0. -390, -2, -1, 6 Solve 3*b**4/5 + 447*b**3/5 + 1314*b**2/5 - 12*b/5 - 1752/5 = 0 for b. -146, -2, 1 Suppose -t**4 - 327*t**3 + 30960*t**2 - 651200*t = 0. Calculate t. -407, 0, 40 Find o, given that o**5/3 - 5*o**4/3 - 358*o**3/3 - 352*o**2/3 = 0. -16, -1, 0, 22 Suppose 5*g**3 + 20*g**2 - 2820*g + 15120 = 0. What is g? -28, 6, 18 Suppose n**3/4 + 497*n**2/4 - 1518*n + 4581 = 0. What is n? -509, 6 Factor c**3/3 + 490*c**2/3 - 1973*c/3 + 494. (c - 3)*(c - 1)*(c + 494)/3 Let -m**4/2 + 3911*m**3/2 + 5870*m**2 + 3914*m = 0. Calculate m. -2, -1, 0, 3914 Factor 2*t**3/9 + 16*t**2/9 - 46*t/9 - 20/3. 2*(t - 3)*(t + 1)*(t + 10)/9 Find g such that 20*g**4/3 - 3128*g**3/3 + 4436*g**2 + 10376*g/3 - 6080/3 = 0. -1, 2/5, 5, 152 Solve x**3/2 + 4247*x**2/2 - 25545*x/2 - 114831/2 = 0 for x. -4253, -3, 9 Factor -100*d**3 + 279080*d**2 + 335004*d + 100512. -4*(d - 2792)*(5*d + 3)**2 Suppose 5*m**3 + 1725*m**2 + 13435*m - 15165 = 0. Calculate m. -337, -9, 1 Factor 2*w**2 - 998074*w + 1996140. 2*(w - 499035)*(w - 2) Solve f**5 + 109*f**4 - 944*f**3 - 276524*f**2 - 1091360*f - 1085888 = 0 for f. -76, -2, 47 Factor -4*t**5 - 353784*t**4 - 1061328*t**3 - 1061320*t**2 - 353772*t. -4*t*(t + 1)**3*(t + 88443) Find k such that 2662*k**4/13 - 87357402*k**3/13 - 47650020*k**2/13 - 8663672*k/13 - 525072/13 = 0. -2/11, 32817 Factor -4*t**2 - 49288*t. -4*t*(t + 12322) Find v, given that -21*v**3 - 528*v**2 - 2631*v - 3420 = 0. -19, -4, -15/7 Factor -2*w**4/21 + 1244*w**3 - 37905920*w**2/7 + 164852689300*w/21 + 165194077750/7. -2*(w - 4355)**3*(w + 3)/21 Solve -5*d**4 + 35*d**3 + 2555*d**2 - 7835*d + 5250 = 0. -21, 1, 2, 25 Factor -155226681*f**2/2 + 174426*f - 98. -(12459*f - 14)**2/2 Find z, given that 477*z**4/2 + 2478*z**3 + 4353*z**2 + 2226*z + 225/2 = 0. -25/3, -1, -3/53 Suppose -c**5 + 24404*c**4 - 198534664*c**3 + 538558126624*c**2 - 1074734813264*c - 4305290800832 = 0. What is c? -2, 4, 8134 Factor -i**3/7 + 431*i**2/7 - 5000*i/7 - 1676. -(i - 419)*(i - 14)*(i + 2)/7 Factor 5*v**2 + 2320*v + 54875. 5*(v + 25)*(v + 439) Factor 3*a**3 + 150*a**2 - 2847*a + 5070. 3*(a - 13)*(a - 2)*(a + 65) Factor -242*r**2/3 + 45260*r/3 - 374. -2*(r - 187)*(121*r - 3)/3 Factor 2*o**2/5 - 88108*o/5 + 970377458/5. 2*(o - 22027)**2/5 Find m such that 2*m**5/7 - 4*m**4 - 304*m**3/7 + 60*m**2/7 + 450*m = 0. -5, 0, 3, 21 Factor 2*g**3 + 38*g**2 - 44*g - 80. 2*(g - 2)*(g + 1)*(g + 20) Solve -3*o**3/8 - 10713*o**2 - 612183663*o/8 - 612012267/4 = 0. -14283, -2 Factor h**2/3 + 121*h/3 + 968. (h + 33)*(h + 88)/3 Suppose y**2 - 127*y + 250 = 0. What is y? 2, 125 Factor -2*z**3/17 - 9994*z**2/17 - 12490000*z/17 - 12480008/17. -2*(z + 1)*(z + 2498)**2/17 Find f, given that f**4/7 - 3263*f**3/7 + 9780*f**2/7 + 4*f/7 - 13040/7 = 0. -1, 2, 3260 Factor 5*q**3/2 + 695*q**2/2 + 25795*q/2 + 112225/2. 5*(q + 5)*(q + 67)**2/2 Factor 3*y**2 - 7278*y + 603720. 3*(y - 2340)*(y - 86) Solve 121*r**3/2 + 319*r**2/10 - 4*r/5 - 8/5 = 0 for r. -4/11, 1/5 Factor -5*v**3 + 950*v**2 + 4845*v + 5850. -5*(v - 195)*(v + 2)*(v + 3) Factor 2*h**3/3 - 8*h**2 - 136*h - 704/3. 2*(h - 22)*(h + 2)*(h + 8)/3 Factor -4*y**2/9 - 100*y + 21736/9. -4*(y - 22)*(y + 247)/9 Factor 2*p**3/3 + 296150*p**2 - 888452*p/3. 2*p*(p - 1)*(p + 444226)/3 Factor z**4/2 + 491*z**3/2 - 1747*z**2 - 1992*z. z*(z - 8)*(z + 1)*(z + 498)/2 Suppose 2*z**4/3 + 18*z**3 - 132*z**2 = 0. What is z? -33, 0, 6 Let 2*d**3/23 + 956*d**2/23 - 958*d/23 = 0. Calculate d. -479, 0, 1 Factor -3*x**3 + 120639*x**2 - 1212753705*x - 1212874347. -3*(x - 20107)**2*(x + 1) Solve -3*j**3 + 12*j**2 + 576*j = 0 for j. -12, 0, 16 Find m such that -m**3 - 676*m**2 + 9*m + 6084 = 0. -676, -3, 3 Find h such that -2*h**5/3 - 308*h**4 + 4684*h**3/3 + 2176*h**2 - 4682*h/3 - 1868 = 0. -467, -1, 1, 6 Solve -4*a**2 + 3036*a + 359008 = 0 for a. -104, 863 Suppose 10*m**2 - 2573325*m - 1286665 = 0. Calculate m. -1/2, 257333 Factor 5*n**2 - 36305*n - 145300. 5*(n - 7265)*(n + 4) Factor 4*h**2/3 + 5009776*h/3 + 1568615973136/3. 4*(h + 626222)**2/3 Determine f, given that -15*f**4 + 3624*f**3 - 238494*f**2 + 2323920*f - 1309275 = 0. 3/5, 11, 115 Let a**4/6 + 5*a**3 + 98*a**2/3 + 76*a + 176/3 = 0. Calculate a. -22, -4, -2 Determine s, given that -3*s**2 - 426*s + 24552 = 0. -186, 44 Factor 2*v**2/5 - 942302*v/5 - 942304/5. 2*(v - 471152)*(v + 1)/5 Factor -196*u**3 + 3342220*u**2 - 3819488*u + 1091264. -4*(u - 17051)*(7*u - 4)**2 Factor -b**2 - 18950*b - 89775625. -(b + 9475)**2 Find m such that 3*m**4 + 744237*m**3 - 3*m**2 - 744237*m = 0. -248079, -1, 0, 1 Factor -32*r**3/9 - 13360*r**2/9 - 1360450*r/9 + 7140250/9. -2*(r - 5)*(4*r + 845)**2/9 Factor 3*b**3 + 15762*b**2 + 31515*b + 15756. 3*(b + 1)**2*(b + 5252) Factor 5*v**2 + 10420*v - 20860. 5*(v - 2)*(v + 2086) Determine a so that -27*a**4 - 31401*a**3 - 31383*a**2 - 10459*a - 1162 = 0. -1162, -1/3 Factor 4*l**2 + 19632*l + 24088464. 4*(l + 2454)**2 Factor -2*y**3 + 4044*y**2 + 4050*y - 8092. -2*(y - 2023)*(y - 1)*(y + 2) Factor 4*a**4 - 596*a**3 + 2828*a**2 + 7460*a + 4032. 4*(a - 144)*(a - 7)*(a + 1)**2 Let -3*x**2 + 52128*x - 226444032 = 0. What is x? 8688 Determine o, given that -o**4/6 - 83*o**3/6 + 1105*o**2/6 - 3301*o/6 + 380 = 0. -95, 1, 3, 8 Solve -2*q**3/11 + 20874*q**2/11 - 54475920*q/11 + 54455048/11 = 0. 1, 5218 Let -o**5/2 - 1169*o**4/2 + 2345*o**3/2 + 3513*o**2/2 = 0. Calculate o. -1171, -1, 0, 3 Find c such that c**5 + 166*c**4 + 327*c**3 - 166*c**2 - 328*c = 0. -164, -2, -1, 0, 1 Suppose 9*t**5/5 - 12*t**4 + 9*t**3 + 54*t**2 - 264*t/5 = 0. What is t? -2, 0, 1, 11/3, 4 Factor 12*l**2 - 2103*l - 1584. 3*(l - 176)*(4*l + 3) Solve -2*g**2/5 + 95272*g/5 + 95274/5 = 0 for g. -1, 47637 Factor -3*x**3/4 + 609*x**2/4 + 3735*x/4 + 5643/4. -3*(x - 209)*(x + 3)**2/4 Determine p, given that -p**2 + 15101*p + 45312 = 0. -3, 15104 Solve -3*r**5 - 336*r**4 - 3438*r**3 + 382536*r**2 + 385641*r = 0. -69, -1, 0, 27 Factor 24642*j**3 + 957486*j**2 + 8803760*j - 9785888. 2*(j - 1)*(111*j + 2212)**2 Let -3*z**3 + 288*z**2 - 5505*z - 5796 = 0. Calculate z. -1, 28, 69 Factor -3*g**2/5 + 74082*g/5 - 457345227/5. -3*(g - 12347)**2/5 Find j, given that -2*j**3 + 1298*j**2 - 207318*j - 1069290 = 0. -5, 327 Suppose -4*j**3 - 1168*j**2 - 9148*j - 17040 = 0. What is j? -284, -5, -3 Suppose 2*m**5/5 - 176*m**4/15 + 104*m**3/3 + 4*m**2/3 - 526*m/15 + 52/5 = 0. What is m? -1, 1/3, 1, 3, 26 Find i, given that -5*i**2 - 958880*i - 45972542720 = 0. -95888 Let -28880*q**2 - 2280*q - 45 = 0. What is q? -3/76 Factor -r**2 + 460269*r - 460268. -(r - 460268)*(r - 1) Find r such that -2*r**4 + 49072*r**3 - 301105774*r**2 + 1203785240*r - 902728536 = 0. 1, 3, 12266 Factor -3*q**4 - 2226*q**3 - 399351*q**2 + 5035212*q - 15349932. -3*(q - 6)**2*(q + 377)**2 Factor -j**2/4 + 1111*j/2 - 2221/4. -(j - 2221)*(j - 1)/4 Factor -3*y**3/8 - 8535*y**2/8 + 8553*y - 17118. -3*(y - 4)**2*(y + 2853)/8 Determine c, given that c**5/2 - 1313*c**4/2 - 9*c**3/2 + 11813*c**2/2 + 2632*c - 7878 = 0. -2, 1, 3, 1313 Let b**5/6 + 553*b**4/3 - 3344*b**3/3 - 8896*b**2/3 = 0. What is b? -1112, -2, 0, 8 Factor w**3 + 318*w**2 + 33633*w + 1183316. (w + 101)**2*(w + 116) Find i such that 2*i**3/11 + 252*i**2/11 + 294*i - 30184 = 0. -77, 28 Factor x**2/2 + 152235*x + 23175495225/2. (x + 152235)**2/2 Suppose -5*b**5/2 + 775*b**4 + 8830*b**3 - 775*b**2 - 17655*b/2 = 0. What is b? -11, -1, 0, 1, 321 Suppose 3*y**2/8 - 195*y + 50025/2 = 0. Calculate y. 230, 290 Let -n**2/6 - 1490*n - 116051/6 = 0. What is n? -8927, -13 Factor -n**2 - 331*n - 23968. -(n + 107)*(n + 224) Factor 5*m**3 - 50*m**2 - 3685*m - 3630. 5*(m - 33)*(m + 1)*(m + 22) What is d in d**2/3 - 10203*d = 0? 0, 30609 Factor 2*y**2/13 - 45728*y/13 + 261381248/13. 2*(y - 1143
{ "pile_set_name": "DM Mathematics" }
/((-8)/60). Let s = 40 + -76. Let b be ((-1)/(-2))/((-2)/s). Solve 2*n - b = d*n for n. -3 Let n(s) = -s**3 - 42*s**2 - 40*s + 41. Let b be n(-41). Suppose -8 = -4*a - 4. Solve b = -4*r - 19 - a for r. -5 Suppose 0 = -8*n + 3*n + 50. Suppose 17 - 3 = 4*l - 3*z, -2*l = -3*z - n. Solve -l*q - 3*q = 0 for q. 0 Let q(h) = -h**2 + 8*h - 7. Let p be q(7). Suppose -26 = -2*r - 3*o - o, 3*r - o - 4 = p. Let w = 1 + 1. Solve -1 = -r*l + w*l for l. 1 Let s = 15 - 10. Let w = -2 + s. Let d(z) = 2*z - 3. Let n be d(w). Solve n*h = 5*h - 2 for h. 1 Let l(g) = g. Let x be l(5). Let f = x + 4. Solve f = 4*c - c for c. 3 Let j be 1 + 0 + 6/2. Suppose 0 = -p + 4, 0 = -j*l + p - 3*p + 4. Let n = 2 + l. Solve -h = n - 0 for h. -1 Let a be (2/3)/(4/24). Let m be (-9)/6 - (-26)/a. Suppose 2*x = -4*c - 0*c - 16, -m*x - 2*c = 0. Solve 0*s = x*s for s. 0 Suppose 2*a - 32 = 4*w + 6, 5*a = -3*w + 4. Let b = w + 7. Solve r - 2*r = b for r. 0 Let a = -9 - 5. Let z = a - -8. Let j be (-8)/z + 2/(-6). Solve j = b - 2*b for b. -1 Let m be 6/(-5)*15/(-9). Solve -m*l + 9 = l for l. 3 Suppose -4*x + 8 + 0 = 0. Let f(z) = -z**3 - 5*z**2 + 5*z - 2. Let u be f(-6). Suppose x*j - j = u. Solve -j*m - 3 = -m for m. -1 Let g(b) = b. Let p(y) = -4*y - 2. Let s = 9 + -6. Let h(u) = s*g(u) + p(u). Let r be h(-6). Solve -22 = r*t - 6 for t. -4 Let z = -50 + 53. Solve -z + 11 = -4*o for o. -2 Suppose 7 = 3*b - 8. Suppose -b*o + 2 = -3. Solve -1 = k + o for k. -2 Let j(q) = -q**2 - 6*q - 3. Let a be j(-4). Suppose 0 = 5*v - a. Let t = 11 + -7. Solve -t*m + 15 = -v for m. 4 Let w(d) = d**3 + 14*d**2 - d - 11. Let k be w(-14). Solve 3*x - 2*x = k for x. 3 Let h(o) = -o**2 - 26*o - 48. Let u be h(-2). Let a be 2*(-2)/(-4)*3. Solve u = a*q - 4*q + 2 for q. 2 Suppose -5*g - 4*v = -10*g + 116, -v = -3*g + 64. Suppose 0*k - 2*k = -40. Suppose 0 = 3*f + z - 3, -k = -4*f + 4*z - 0*z. Solve -g = -f*w - 3*w for w. 4 Let b = -117 - -121. Solve 0 - b = f for f. -4 Let n = -6 + 8. Suppose -x = n*x - 9. Solve -4*l + 3*l = -x for l. 3 Suppose -4*v = -22 - 2. Solve 4*y - v*y - 8 = 0 for y. -4 Suppose -2*y - 4*m = -18, -y - 5*m + 0*m = -21. Let l be (-2)/y*3/(-1). Solve 4*r - r = -l for r. -2 Let c(y) = -y**3 - y**2 - y - 1. Let l be c(-1). Suppose 3*t + 3 = -l, -3*h = -2*t - 20. Solve h = -0*s + 2*s for s. 3 Let t = -24 - -39. Solve -4*f - 3 + t = 0 for f. 3 Let u = -7 - -7. Let z = 3 - 4. Let b be u*z/1*-1. Solve 2*r - 3*r = b for r. 0 Suppose 3*l + 3 = 0, -s - 4*l + 5*l + 18 = 0. Let i = s + -12. Solve -i*d = 10 + 5 for d. -3 Suppose 0 = -h + 6*h - 30. Let m = h + -5. Solve -2*o + m = 7 for o. -3 Let b = 9 + -8. Let n be 25 + (1/b - 1). Solve 0 = 2*j + 3*j + n for j. -5 Suppose 5*k = 2*k + 12. Suppose -k*b + 21 = 5. Solve 19 = 3*n + b for n. 5 Suppose h - 3 = s, -5*h + 2*h = -3. Let p be 5/s*(-24)/20. Let k = p - -14. Solve 4*v + 5 = k for v. 3 Let n = 121 + -118. Solve -n = -2*t - t for t. 1 Suppose 5*h + 2*c = 6*c - 20, 20 = 3*h + 4*c. Suppose h = -5*f + 9 + 6. Solve -19 = -f*z - 7 for z. 4 Let w(k) = -k**3 - 11*k**2 - k - 15. Let d be w(-11). Let a = d + 7. Solve -z = a*z for z. 0 Let l be (-6)/10 + (-30)/(-50). Solve l = -4*k + k + 3 for k. 1 Let d(n) = 3*n + 42. Let l be d(-10). Solve -l = 2*s + s for s. -4 Suppose i = 2*f - 28, -5*f + 5*i - i = -73. Let u = 6 - f. Let n(b) = -b**3 - 6*b**2 + 8*b + 10. Let h be n(u). Solve h = c - 0 for c. 3 Let n(t) = -t**3 - 6*t**2 + 7*t + 6. Let m be n(-7). Let i = m + -6. Solve 3*h - 2*h - 1 = i for h. 1 Let p be ((-3)/4)/((-1)/(-4)). Let c be (p/1)/(-3) + -4. Let v = 12 + c. Solve -2*m - v = m for m. -3 Let j(u) = 5*u - 2. Let z be j(1). Suppose -2*r - g + 5 = 0, 5*r + 4*g - 14 = z*g. Solve -r*d - 3 = 3 for d. -2 Suppose 2*j - 4 = -2. Let w be 8/2*j/2. Solve w*t - 1 - 1 = 0 for t. 1 Suppose -19 = -5*g + 1. Suppose 6*j - 4*z = 2*j, 4 = g*z. Solve 2*o + j + 3 = 0 for o. -2 Suppose -18*n = -14*n - 60. Solve -2*f - n = 3*f for f. -3 Suppose 38 - 13 = 5*a. Solve -3*y + a*y = 0 for y. 0 Let q(f) = -f - 1. Let b be q(-1). Let o(i) = -i + 4. Let g be o(4). Suppose 5*m + 5*u - 25 = g, 0 = -u - 0*u + 1. Solve m*v - 9 - 7 = b for v. 4 Let o(x) be the first derivative of 0*x**2 - x**2 + 2 - 5*x - 4. Let h be o(-4). Solve s = h*s for s. 0 Let s = -47 - -49. Solve 0 = -3*p - s*p - 20 for p. -4 Suppose -5*b = -26 + 1, 5*t = -2*b - 1830. Let y be t/(-88) - (-2)/(-11). Solve 0*c = -4*c + y for c. 1 Let f = -33 + 35. Solve -f*k + 4 = -4 for k. 4 Let a be 9 - 4 - (1 + 1). Suppose -j + 4*h + 1 - 3 = 0, -60 = -4*j - h. Let o be j/a + 4/(-6). Solve -2 - 6 = -o*q for q. 2 Let w be 0 - 8*(0 + -1). Let a = w - 4. Suppose -2*r + 2 + a = 0. Solve -2*c = r*c for c. 0 Let v = 2 + -4. Let p = v + 2. Solve 0*d - 3*d - 9 = p for d. -3 Suppose 0 = -2*t + 4*x + 7 - 1, -2*t - x + 11 = 0. Solve -t*a + 2*a = 3 for a. -1 Let w be (-3 - -2)/((-1)/4). Let v = -2 + w. Solve 0 = 2*r + v*r - 16 for r. 4 Let c = 3 + -3. Solve -g + c*g = 3 for g. -3 Let x = 2 - 0. Suppose 8 = -k + 4*s, x*s + 0 + 2 = 2*k. Suppose -14 = -c - 4*c - 4*m, 5*c + 5*m = 10. Solve -2 = -k*y - c for y. -1 Suppose -x + 20 = -5*a, 5*x = 2*a + a + 34. Solve 12 = -x*d + 2 for d. -2 Let g(m) = m - 1. Let q be g(6). Let o be 8/(-16) - (-99)/6. Solve o - 1 = -q*b for b. -3 Suppose -w = 2*w - 6*w. Let s(l) = l**3 + 11*l**2 + 10*l + 2. Let m be s(-10). Solve -m*u + 3*u + 4 = w for u. -4 Let g = 1 + -1. Suppose 2*b - 5*r = 24, g*r = 3*b + r - 2. Suppose -5 = x - b*x. Solve -x + 14 = -3*w for w. -3 Suppose 5*l - 18 = 2*l. Solve -l*n + 2*n = -12 for n. 3 Suppose 0 = 3*f + 159 - 60. Let b be 6/f + 39/33. Solve i = -b - 2 for i. -3 Suppose -3*x = -5*x. Suppose 2 = -p + 2*p. Suppose -p*n = -0*n. Solve n = d - x*d for d. 0 Let z = 7 + 1. Solve 2*t - 4*t + z = 0 for t. 4 Let g be 1/((-3)/4 - -1). Solve 0*s = 4*s - g for s. 1 Suppose 3*z - 5*p = 40, 5*z = 4*p + 57 + 27. Let y be (-1*1 - 0)/(-1). Let n = 4 - y. Solve -l + z = n*l for l. 5 Let t(o) = -2*o**2 - 1. Let x be t(-2). Let j be 3/x - 2/(-6). Solve j = 5*u + 10 + 15 for u. -5 Let w = 28 - 24. Solve 2*t + 2*t + w = 0 for t. -1 Let o(r) = -37*r**3 - 1. Let u be o(-1). Let d = u - 25. Solve -4*z + d = 3 for z. 2 Let d(v) = 3*v - 3. Let y be -2*(-2 + 2/4). Suppose y*j = -0*j + 6. Let b be d(j). Solve x + 12 = -b*x for x. -3 Let n = 10 - 10. Suppose -w - 50 = -3*h - n*w, -4*w + 55 = 5*h. Solve 0 = r - 6*r - h for r. -3 Let q(w) = w**2 + 16*w - 31. Let r be q(-18). Solve -r*c - 4 = 6 for c. -2 Let a = -5 - -10. Solve -a + 2 = -3*i for i. 1 Suppose -2*o + 25 = -5. Let g = -11 + o. Solve -n = g*n for n. 0 Let m = -1 - -5. Let d(p) = -4*p + 3*p + p - 1 + p**2. Let w be d(1). Solve -m*t - 4 + 0 = w for t. -1 Let x = 2 - -15. Solve -x + 2 = 5*y for y. -3 Let h(v) = v + 6. Let q be h(-6). Let b be -5*(-1)/(1 - q). Let p(l) = 3*l**2 - 2*l - 2. Let o be p(-1). Solve -y = -o + b for y. -2 Let o be 132/22*(-2)/(-3). Solve o*x - 23 + 7 = 0 for x. 4 Let r(p) = -p**3 + 9*p**2 + 9*p + 13. Let x be r(10). Suppose -2*s - 5 = -x*s. Suppose -5*d = -0*g + g - 27, s*d = 5*g + 15. Solve 0 = g*i - 4*i - 8 for i. -4 Suppose k + k - 8 = 0. Solve -k*p + 2*p = -2 for p. 1 Let d(k) = k**2 - 7*k + 6. Let j = 16 - 9. Let a be d(j). Solve a*h - 5 = h for h. 1 Let n = 9 - 6. Solve -v - n = 2 for v. -5 Suppose 0 = -2*o - o + 24. Suppose -4 = 2*s - 18. Suppose s = 5*v - 3. Solve v*f = 4*f + o for f. -4 Let p be (-78)/(-13)*1/2. Suppose -2*u = p*u. Solve u*y - 2*y - 10 = 0 for y. -5 Suppose 2*c + 10 = -14. Let y be (-28)/c + 2/3. Suppose 0 = y*n - 8*n. Solve -3*b - b = n for b. 0 Suppose -4 + 19 = 5*b. Solve b*y + 0*y = 9 for y. 3 Let v = -42 + 48. Solve -8*g = -v*g + 4 for g. -2 Let y = 5 + 1. Let s be (0 - 5)*3/(-5). Let a(k) = k + 5. Let d be a(-5). Solve -3*f + s + y = d for f. 3 Let r = 0 - -5. Let u be 114/4 + 3/(-6). Let d be (63/u)/(6/16). Solve k = d*k - r for k. 1 Let d(j) = -j**2 - 13*j - 12. Let a be d(-11). Solve -a = 3*y - 1 for y. -3 Let a be (1/2)/(2/8). Let d be (7/(-2))/((-1)/a). Suppose -2*w - 3 = -19. Solve 3*l + d = -w for l. -5 Let u = -1 - 2. Let j = u - -7. Solve 0 = -l - j*l - 15 for l. -3 Let q be 1*(3 - (0 - 1)). Suppose y + y - t - 54 = 0, -3*t = 0. Solve -7 = -q*v - y for v. -5 Let k(p) = -3*p - 2. Suppose 0 = -3*s - 2*s - 140. Let y be (-8)/s + (-30)/7. Let t be k(y). Solve 0 = -5*v + t + 10 for v
{ "pile_set_name": "DM Mathematics" }
re between 7:25 PM and 7:20 AM? 715 How many minutes are there between 12:21 AM and 3:25 AM? 184 What is 223 minutes after 3:22 PM? 7:05 PM How many minutes are there between 4:02 PM and 1:35 AM? 573 What is 191 minutes after 12:24 PM? 3:35 PM What is 503 minutes before 3:01 PM? 6:38 AM What is 313 minutes after 2:17 AM? 7:30 AM What is 237 minutes before 3:45 AM? 11:48 PM What is 646 minutes before 1:47 AM? 3:01 PM What is 194 minutes before 3:10 AM? 11:56 PM How many minutes are there between 9:41 AM and 8:57 PM? 676 What is 443 minutes after 9:54 AM? 5:17 PM How many minutes are there between 10:57 PM and 1:43 AM? 166 What is 266 minutes after 1:41 AM? 6:07 AM How many minutes are there between 2:44 PM and 7:59 PM? 315 What is 76 minutes after 8:01 AM? 9:17 AM How many minutes are there between 5:23 AM and 11:22 AM? 359 How many minutes are there between 5:18 PM and 6:06 PM? 48 How many minutes are there between 3:05 PM and 11:18 PM? 493 How many minutes are there between 7:12 AM and 7:54 AM? 42 How many minutes are there between 4:22 AM and 2:08 PM? 586 How many minutes are there between 5:19 AM and 10:43 AM? 324 What is 324 minutes after 1:33 AM? 6:57 AM How many minutes are there between 10:18 AM and 6:18 PM? 480 What is 50 minutes before 8:08 PM? 7:18 PM How many minutes are there between 6:28 AM and 11:28 AM? 300 What is 303 minutes after 9:27 PM? 2:30 AM What is 420 minutes before 7:03 AM? 12:03 AM How many minutes are there between 7:02 PM and 4:48 AM? 586 What is 715 minutes after 11:52 PM? 11:47 AM How many minutes are there between 7:51 PM and 7:46 AM? 715 How many minutes are there between 7:59 AM and 8:18 AM? 19 How many minutes are there between 1:19 PM and 2:11 PM? 52 How many minutes are there between 3:06 PM and 7:31 PM? 265 How many minutes are there between 10:18 PM and 8:42 AM? 624 How many minutes are there between 12:30 AM and 3:17 AM? 167 How many minutes are there between 6:02 PM and 4:30 AM? 628 What is 599 minutes after 4:08 PM? 2:07 AM How many minutes are there between 9:02 AM and 3:52 PM? 410 How many minutes are there between 3:11 AM and 12:28 PM? 557 How many minutes are there between 8:10 PM and 9:51 PM? 101 How many minutes are there between 11:54 AM and 3:51 PM? 237 How many minutes are there between 6:08 AM and 2:21 PM? 493 How many minutes are there between 8:59 PM and 2:54 AM? 355 How many minutes are there between 6:31 AM and 11:54 AM? 323 How many minutes are there between 2:55 AM and 3:37 AM? 42 How many minutes are there between 1:14 AM and 12:24 PM? 670 What is 211 minutes before 11:24 AM? 7:53 AM How many minutes are there between 3:40 AM and 4:32 AM? 52 How many minutes are there between 2:48 AM and 5:27 AM? 159 How many minutes are there between 12:59 PM and 12:20 AM? 681 What is 503 minutes before 12:56 AM? 4:33 PM How many minutes are there between 2:36 AM and 4:53 AM? 137 How many minutes are there between 7:30 PM and 6:46 AM? 676 How many minutes are there between 7:44 PM and 9:22 PM? 98 How many minutes are there between 4:22 PM and 1:29 AM? 547 What is 69 minutes after 1:55 PM? 3:04 PM How many minutes are there between 8:52 AM and 7:31 PM? 639 What is 204 minutes after 11:26 AM? 2:50 PM What is 292 minutes after 3:58 PM? 8:50 PM How many minutes are there between 7:28 PM and 9:25 PM? 117 What is 480 minutes before 3:45 AM? 7:45 PM How many minutes are there between 10:55 PM and 12:36 AM? 101 What is 170 minutes after 2:51 PM? 5:41 PM How many minutes are there between 5:40 PM and 5:08 AM? 688 How many minutes are there between 2:17 AM and 9:40 AM? 443 What is 690 minutes before 7:37 AM? 8:07 PM How many minutes are there between 8:31 AM and 5:08 PM? 517 How many minutes are there between 6:11 PM and 9:01 PM? 170 How many minutes are there between 5:51 PM and 2:01 AM? 490 What is 238 minutes after 1:55 PM? 5:53 PM What is 501 minutes after 4:53 PM? 1:14 AM What is 559 minutes after 3:58 PM? 1:17 AM How many minutes are there between 9:55 AM and 5:32 PM? 457 How many minutes are there between 2:52 AM and 6:23 AM? 211 How many minutes are there between 11:43 AM and 10:03 PM? 620 How many minutes are there between 7:23 AM and 3:05 PM? 462 How many minutes are there between 11:02 PM and 6:48 AM? 466 What is 97 minutes before 2:34 AM? 12:57 AM What is 410 minutes before 2:56 AM? 8:06 PM How many minutes are there between 5:09 PM and 1:59 AM? 530 How many minutes are there between 2:10 PM and 6:56 PM? 286 How many minutes are there between 7:37 AM and 12:26 PM? 289 What is 508 minutes after 10:50 AM? 7:18 PM How many minutes are there between 3:20 AM and 3:40 AM? 20 How many minutes are there between 4:32 PM and 6:44 PM? 132 How many minutes are there between 3:07 AM and 2:10 PM? 663 How many minutes are there between 6:26 PM and 7:28 PM? 62 How many minutes are there between 5:27 AM and 7:22 AM? 115 How many minutes are there between 4:13 AM and 1:57 PM? 584 How many minutes are there between 9:06 AM and 3:47 PM? 401 How many minutes are there between 9:37 PM and 4:08 AM? 391 How many minutes are there between 7:45 PM and 3:11 AM? 446 What is 570 minutes before 10:55 AM? 1:25 AM What is 191 minutes before 5:43 PM? 2:32 PM What is 331 minutes before 7:54 PM? 2:23 PM How many minutes are there between 3:37 PM and 4:25 PM? 48 How many minutes are there between 5:46 PM and 1:19 AM? 453 What is 703 minutes before 5:43 PM? 6:00 AM What is 421 minutes before 8:28 PM? 1:27 PM How many minutes are there between 3:52 AM and 6:31 AM? 159 How many minutes are there between 4:15 PM and 8:54 PM? 279 How many minutes are there between 8:10 AM and 6:44 PM? 634 What is 19 minutes before 7:49 AM? 7:30 AM How many minutes are there between 4:14 PM and 1:21 AM? 547 How many minutes are there between 2:32 AM and 4:47 AM? 135 What is 237 minutes after 4:17 AM? 8:14 AM What is 387 minutes before 9:02 AM? 2:35 AM What is 625 minutes after 5:46 AM? 4:11 PM What is 681 minutes after 12:00 PM? 11:21 PM How many minutes are there between 3:59 AM and 3:11 PM? 672 What is 611 minutes after 6:24 PM? 4:35 AM What is 115 minutes before 3:17 AM? 1:22 AM How many minutes are there between 2:23 AM and 7:15 AM? 292 How many minutes are there between 7:28 PM and 3:01 AM? 453 How many minutes are there between 11:12 PM and 2:07 AM? 175 How many minutes are there between 4:50 PM and 3:59 AM? 669 How many minutes are there between 9:45 PM and 1:07 AM? 202 How many minutes are there between 5:25 AM and 8:11 AM? 166 What is 20 minutes before 4:26 AM? 4:06 AM How many minutes are there between 3:18 AM and 12:16 PM? 538 How many minutes are there between 3:28 PM and 6:33 PM? 185 What is 172 minutes after 8:50 PM? 11:42 PM How many minutes are there between 4:50 AM and 10:45 AM? 355 How many minutes are there between 5:26 PM and 5:35 PM? 9 How many minutes are there between 3:11 AM and 1:06 PM? 595 How many minutes are there between 8:59 AM and 1:51 PM? 292 What is 251 minutes after 6:20 PM? 10:31 PM What is 596 minutes after 8:35 AM? 6:31 PM How many minutes are there between 10:30 AM and 5:54 PM? 444 How many minutes are there between 10:35 PM and 12:56 AM? 141 What is 155 minutes before 5:47 PM? 3:12 PM What is 661 minutes before 10:27 AM? 11:26 PM What is 318 minutes after 9:52 PM? 3:10 AM What is 318 minutes after 3:34 PM? 8:52 PM How many minutes are there between 10:55 AM and 8:23 PM? 568 What is 331 minutes before 10:36 AM? 5:05 AM How many minutes are there between 11:04 AM and 3:59 PM? 295 What is 331 minutes before 7:43 AM? 2:12 AM What is 616 minutes before 10:33 AM? 12:17 AM What is 517 minutes after 7:01 AM? 3:38 PM What is 697 minutes after 2:30 AM? 2:07 PM How many minutes are there between 6:10 AM and 7:10 AM? 60 What is 568 minutes after 6:42 PM? 4:10 AM What is 480 minutes after 3:30 AM? 11:30 AM What is 159 minutes after 9:04 AM? 11:43 AM How many minutes are there between 5:28 AM and 6:56 AM? 88 How many minutes are there between 3:14 PM and 1:26 AM? 612 How many minutes are there between 4:15 PM and 12:25 AM? 490 What is 453 minutes after 4:45 PM? 12:18 AM How many minutes are there between 10:30 AM and 12:36 PM? 126 What is 337 minutes before 8:14 AM? 2:37 AM How many minutes are there between 7:38 PM and 9:00 PM?
{ "pile_set_name": "DM Mathematics" }
. 4, 2, t Suppose -8 = -5*h + 2. Let k(c) = -c**3 - 24*c**2 - 22*c + 19. Let p be k(-23). Sort p, 3, h. p, h, 3 Let l(k) = k - 3. Let q be l(6). Let w(y) = y**2 + 8*y - 3. Let s be w(-9). Let c be ((-32)/12)/(s/9). Sort -5, q, c in decreasing order. q, c, -5 Suppose 186 - 135 = 51*n. Put -3, n, 7 in increasing order. -3, n, 7 Let p be (1 + 5 + -3)*(-15)/15. Sort -5, p, -36 in decreasing order. p, -5, -36 Let i(x) = -x**2 + x + 22. Let z be i(5). Let f(y) = -y**2 - 13*y + 6. Let a be f(-13). Sort a, -3, z in ascending order. -3, z, a Suppose -10*x + 19*x - 9 = 0. Sort 13, 5, x, 3. x, 3, 5, 13 Let m(r) = -73*r + 75. Let n be m(1). Put n, -1, -43 in ascending order. -43, -1, n Let z(p) = p + 2. Let l be z(-7). Let b = -20 - -38. Let h = 14 - b. Put -1/5, l, h in descending order. -1/5, h, l Suppose 4*i = -3*y - 5, 9*i = 3*y + 14*i + 7. Sort 4, 8, y in ascending order. y, 4, 8 Let b = -33 + 36. Suppose 0 = 4*a, -4*l - 5*a + b*a - 12 = 0. Let s = -2 + 1. Put l, 5, s in decreasing order. 5, s, l Suppose 4 + 6 = t - 5*r, 0 = -4*t - 4*r - 32. Sort 1/2, t, 1.8, 3/8 in ascending order. t, 3/8, 1/2, 1.8 Let a = -7 - -8. Let p = a - 1.4. Suppose s + 4 = -1, 22 = 3*t - 2*s. Put p, t, 0.3 in ascending order. p, 0.3, t Let j = 1.16 - 2.16. Let g = 0.27 - -0.03. Sort -2, j, g, 0.1 in decreasing order. g, 0.1, j, -2 Let s = 0 + 5. Suppose -5 = -5*p, -p = 3*y + 3 - 19. Suppose -18 = -4*d + y*x, 0*x = 2*d + 2*x. Put s, -6, d in descending order. s, d, -6 Suppose -2*h - 3*c = -12, 3*h - 25 = 2*c - 3*c. Put h, 2, 5, 0 in decreasing order. h, 5, 2, 0 Let x(j) = -j**3 - 4*j**2 - 6*j - 4. Let d be x(-2). Put -24, d, 1 in increasing order. -24, d, 1 Suppose -u = 2*i - 2, 4*u + 2*i = i - 6. Suppose 2*f - 10 = 4*f. Let x = 1 + f. Sort u, x, 3 in descending order. 3, u, x Let z = 1245 + -1250. Put -19, -3, z, 3 in descending order. 3, -3, z, -19 Let o(a) = 12*a + 80. Let q(y) = 8*y + 53. Let p(x) = 5*o(x) - 8*q(x). Let z be p(-5). Put -2, z, -9, 0 in decreasing order. 0, -2, z, -9 Let b be 2/((-12)/254) - (-224)/168. Put b, 9, 1 in decreasing order. 9, 1, b Let l = -3 + -2. Suppose -10*q + 295 - 105 = 0. Sort 1, l, q in descending order. q, 1, l Let g = 0.841 + -1.841. Let v = 0.05 + -0.07. Sort v, -0.1, g, -2 in ascending order. -2, g, -0.1, v Suppose -49*t = -53*t - 696. Sort 3, -3, t. t, -3, 3 Suppose 4*b + 4*u = -20, -2*b + 2*u = b + 5. Let l(p) = -2*p + 2. Let t be l(0). Put b, t, 1 in increasing order. b, 1, t Let r = -31.5 - -32. Let s = 1.5 + r. Put -12/7, s, 4 in ascending order. -12/7, s, 4 Let f be (-3)/(-6) + (-9)/(-2). Suppose -f*z - 13 = -53. Sort z, -5, 2 in descending order. z, 2, -5 Let k be (3 - -3)/(6/9). Sort k, 3, -4, 2. -4, 2, 3, k Let l(m) = -m**3 + 7*m**2 + 19*m - 95. Let q be l(8). Sort q, 7, 1, 2 in ascending order. q, 1, 2, 7 Suppose 4 = 3*b - 5*b. Let d be (b/(-1))/(-2 - -8). Let a = 1361/5 - 272. Put -3/2, a, d in descending order. d, a, -3/2 Let x = -1 + 1. Suppose -4*q - 2*h + 7 = q, 2*q + 3*h + 6 = x. Suppose -257*w + 1177 + 1514 = 42*w. Sort -3, q, w in ascending order. -3, q, w Let t(m) = m**3 - m**2 + m - 21. Let g be t(0). Let q = g + 21. Let r(b) = -2*b**2 - 3*b - 2. Let s be r(-2). Sort s, 3, q in ascending order. s, q, 3 Let j = 559 - 556. Sort -5, j, 0 in increasing order. -5, 0, j Let u = 0.5 + 3.5. Let d(r) = r**3 + 18*r**2 - r - 4. Let q be d(-18). Let c(b) = -b**3 + 15*b**2 - 13*b - 9. Let x be c(q). Put x, u, 2/3 in ascending order. 2/3, u, x Let d(w) = -w**2 + 8*w - 17. Let n be d(5). Sort 5, n, 2, 17 in descending order. 17, 5, 2, n Let m = -1.24 + 4.52. Let d = 6.72 - 7. Let y = d + m. Put y, 2/69, -2/3 in ascending order. -2/3, 2/69, y Suppose -70 + 48 = -11*p. Put 5, p, 9 in descending order. 9, 5, p Let n = 20.2 + -19.9. Let v be (0 - -1) + -12 + 10. Sort -5, v, -0.6, n in decreasing order. n, -0.6, v, -5 Let n = 6.647 - 0.047. Let g = n + -8.6. Let m = 0.02 + -0.22. Sort g, 5, m in decreasing order. 5, m, g Let f = 38 + -52. Sort -5, f, -3. f, -5, -3 Suppose 2*a = 8*s - 3*s + 9, 4*a = -2*s - 18. Suppose f + 6 = -460*m + 461*m, f - 14 = -m. Put -4, a, m in decreasing order. m, a, -4 Let m be (-188)/36 + (3 - 100/36). Sort 4, m, 3, 7 in ascending order. m, 3, 4, 7 Suppose -1 = -19*g + 56. Put -1, g, 37 in ascending order. -1, g, 37 Suppose 4*z - 21 = 5*d, -2*z + d + 7 = 2*d. Sort -4, 7, z, 12 in decreasing order. 12, 7, z, -4 Let w = 53 - 79. Let q = w - -43. Let u = q + -16.7. Put 3, u, 2/9 in decreasing order. 3, u, 2/9 Suppose -73*y + 2*b = -68*y + 30, -7*y + 2*b = 38. Let l be ((-6)/(-5))/(3/10). Sort l, y, 5. y, l, 5 Let k be (-55)/330 - 1/(-132)*-263. Let l = 9/4 + k. Sort 0.7, 0.3, l. l, 0.3, 0.7 Let v be (7 - (2 + 0))/(-1). Let k be 4/6 + 0 - 104/117. Sort v, 3, k in descending order. 3, k, v Let v = 51 - 41. Let m = v - 15. Put 2/5, -0.5, m in ascending order. m, -0.5, 2/5 Suppose 0*d - 3*d = -27. Let g = -6 + d. Let h be (-2)/10 + 21/105 - -5. Sort g, -3, h in ascending order. -3, g, h Let f = 0.465 + -14.465. Sort f, -5, 0.5 in decreasing order. 0.5, -5, f Let p = -110.02 - -123.466. Let y = 0.054 + p. Let w = 14 - y. Put w, 1/3, 0 in descending order. w, 1/3, 0 Suppose 2*a = -s + 3*a + 5, -4*s + 20 = 5*a. Suppose -6*x - 8 = -5*x + 3*m, 2*m = -4. Let k be (x - -2) + 6 + -4. Sort 9, k, s in increasing order. k, s, 9 Suppose 0 = -5*a + 5*k + 85, -2*a + 3*k + 18 = -13. Let b = 43 + -82. Let f = b - -35. Sort a, f, 0 in ascending order. f, 0, a Let l be (-1 - 3) + (-2)/8*-12. Put 0.2, -0.5, 2, l in increasing order. l, -0.5, 0.2, 2 Let r = 498 - 500. Put r, -85, 0, -4 in decreasing order. 0, r, -4, -85 Suppose -b = 4*y + 101, -19 = y + 6*b - 7*b. Put y, 1/5, 2/3 in descending order. 2/3, 1/5, y Suppose 5*f + 1 = -4*b - 7, -5*b - 4*f = 1. Let g(k) = k - 7. Let l be g(b). Let h be (-5)/(240/(-56)) + (-1)/6. Sort -1, l, h in increasing order. l, -1, h Let v be (1 - (-9 + 9 + -4)) + -4. Put 7, 28, v, 3 in decreasing order. 28, 7, 3, v Let z = -79/255 + 3/17. Put z, 37, -5, -0.2 in ascending order. -5, -0.2, z, 37 Let o be ((-1)/4 + -1)*-4. Suppose -4*g + w + 4*w - 9 = 0, o*g + 3*w + 2 = 0. Suppose -253 - 251 = -84*t. Sort g, 1, t. g, 1, t Let g(m) = m**3 - m**2 + m + 2. Let t be g(0). Let s be -3 + 30 + (-8 - 7). Sort t, s, 4 in increasing order. t, 4, s Let m = -138/13 + 1557/143. Sort m, 0.004, 0.1 in decreasing order. m, 0.1, 0.004 Suppose 8*v - 12 = 12*v. Sort -23, v, 5 in ascending order. -23, v, 5 Suppose -4*i - p = 57, -34*p = -3*i - 37*p - 45. Put 26, -2, i in decreasing order. 26, -2, i Suppose -2*r + 4*r = 56. Let b = -30 + r. Sort 3/8, 2, b in descending order. 2, 3/8, b Let p = -0.5 - 3.7. Let g = p + 3.9. Put 3, g, 0.4 in increasing order. g, 0.4, 3 Let l = -255 - -250. Sort 3, -0.5, l, -4. l, -4, -0.5, 3 Let l(a) = a**3 - 6*a**2 - 5*a - 14. Let d be l(7). Let n = -15 - d. Put -4, -3, n in decreasing order. -3, -4, n Let v = 16059/11 + -1461. Let q = -24.2 + 27. Let u = 3 - q. Sort u, v, -2/13. v, -2/13, u Let a = -287 + 290. Put a, -4, 7 in descending order. 7, a, -4 Let b(h) = -h**3 + 3*h**2 + 20*h - 11. Let j be b(6). Sort 3, j, 1/14 in descending order. 3, j, 1/14 Let k(y) = -y**3 - 38*y**2 + 40*y + 40. Let g be k(-39). Sort -4/45, g, 2/9. -4/45, 2/9, g Suppose 16*g - 12*g + 12 = h, 2*h - 5*g = 36. Sort -2, 0, h, 4. -2, 0, 4, h Let g = 0.5 - 1.5. Let z = g + -1. Let x = -1.6 + 0.6. Sort x, z, -2/13 in descending order. -2/13, x, z Let t = -348 - -1045/3. Let y be ((-9)/6)/((-15)/6). Sort y, t, -2 in ascending order. -2, t, y Suppose 3*j + 3 = 3*k, 3*k + 6*j - 2*j + 4 = 0. Suppose 4*m + 5*l - 4 = k, -5*m - 7 - 25 = -3*l. Let p be m/4 + (-2)/1. Put p, 4, -5 in descending order. 4, p, -5 Let t(s) be the second derivative of -11*s**3/6 - 7*s**2/2 - 16*s. Let c be t(-1). Sort c, -3, -4, -2 in descending order. c, -2, -3, -4 Let d = -3.1 + 3.03. Let k = d + 3.07. Sort k, 2, -2/7 in decreasing order. k, 2, -2/7 Suppose s - 20 = -2*p - s, -4*p + 15 = -s. Suppose 13 + 7 = -p*x. Put -10, 5, -3, x in descending order. 5, -3, x, -10 Let g be 2/(-7) - 192/(-84). Let a(j) = -j**2 + j + 3. Let k be a(3). Sort 4, g, 8, k. k, g, 4, 8 Let t = 0.25 - 0.3. Let b = t + -0.05. Let v be (3 - (6 + -3))/4. Sort v, -2, b. -2, b, v Let h be (-1 - (-18)/12)/((-1)/(-4)). Put -74, -2, h, -1 in ascending order. -74, -2, -1, h S
{ "pile_set_name": "DM Mathematics" }
xt in 2624, 21030, 71044, 168488, 329184? 568954 What is the next term in 87767978, 87767983, 87768002, 87768041, 87768106, 87768203, 87768338? 87768517 What comes next: -6297, -25239, -56825, -101055, -157929, -227447? -309609 What comes next: -100041121, -200082241, -300123361, -400164481, -500205601? -600246721 What is the next term in 1006, 7029, 22426, 51583, 98886, 168721, 265474? 393531 What comes next: 654, 5512, 18762, 44604, 87238, 150864? 239682 What is next in -697682, -697683, -697684, -697685, -697686, -697687? -697688 What comes next: -21841386, -21841384, -21841382, -21841380, -21841378, -21841376? -21841374 What is the next term in -15610, -62602, -140980, -250744, -391894? -564430 What is the next term in -5080, -3871, -2662? -1453 What is next in -1391, -1125, -827, -497, -135? 259 What is the next term in -2845, -2855, -2875, -2911, -2969, -3055, -3175, -3335? -3541 What is the next term in -935, -1774, -2505, -3134, -3667, -4110, -4469, -4750? -4959 What is next in -57844, -231387, -520624, -925555, -1446180, -2082499? -2834512 What is the next term in -83128502, -83128500, -83128498, -83128496, -83128494, -83128492? -83128490 What is next in 29707, 29717, 29727, 29737, 29747? 29757 What is next in -17065, -136928, -462753, -1097674, -2144825? -3707340 What is the next term in 1185, 10157, 34457, 81753, 159713, 276005? 438297 What comes next: -21547004, -86188024, -193923056, -344752100, -538675156? -775692224 What is the next term in -463256, -926414, -1389598, -1852820, -2316092, -2779426? -3242834 What is the next term in 8458, 14330, 24114, 37810? 55418 What is next in -641, -2471, -7733, -18143, -35417, -61271, -97421, -145583? -207473 What comes next: 13272890, 26545786, 39818682, 53091578, 66364474? 79637370 What is next in 859055, 1718121, 2577197, 3436283, 4295379, 5154485, 6013601? 6872727 What is the next term in -213069, -213069, -213071, -213075, -213081, -213089? -213099 What comes next: 27711592, 55423188, 83134784, 110846380, 138557976, 166269572? 193981168 What comes next: -1246115, -4984472, -11215073, -19937918, -31153007? -44860340 What is the next term in -212503, -212811, -213143, -213511, -213927, -214403, -214951, -215583? -216311 What is the next term in -356024327, -356024326, -356024325, -356024324, -356024323, -356024322? -356024321 What is the next term in -164397, -326990, -489583? -652176 What is next in -11942, -23938, -36014, -48170, -60406, -72722, -85118? -97594 What is the next term in -13758, -13331, -12880, -12399, -11882, -11323? -10716 What is the next term in -4464063, -35712495, -120529671, -285699963, -558007743, -964237383, -1531173255, -2285599731? -3254301183 What is the next term in 918, 7152, 17542, 32088, 50790, 73648, 100662? 131832 What is next in 964001, 963986, 963933, 963818, 963617, 963306, 962861? 962258 What is the next term in -5654, -22664, -51016, -90710, -141746? -204124 What is the next term in 3443, 6950, 10507, 14114, 17771? 21478 What comes next: -323, -2416, -7919, -18482, -35755? -61388 What is the next term in 14715630, 29431246, 44146862, 58862478, 73578094? 88293710 What comes next: 60646, 122273, 183900? 245527 What is the next term in 8710, 17684, 26656, 35632, 44618? 53620 What comes next: -336494, -336518, -336542, -336566, -336590, -336614? -336638 What is the next term in 174, 1201, 3936, 9237, 17962? 30969 What is the next term in 17238, 17099, 16862, 16527, 16094, 15563, 14934? 14207 What is the next term in 623, 1874, 3603, 5810, 8495, 11658? 15299 What is the next term in 268704, 268718, 268732, 268746, 268760? 268774 What is next in -122441, -122346, -122191, -121970, -121677, -121306, -120851, -120306? -119665 What is next in -6444543, -6444520, -6444497? -6444474 What comes next: -39002878, -39002877, -39002876? -39002875 What is next in -241665, -483783, -725901, -968019? -1210137 What comes next: -448492839, -896985675, -1345478511? -1793971347 What comes next: 190269, 380510, 570719, 760890, 951017, 1141094, 1331115, 1521074? 1710965 What comes next: -167, -88, 57, 268? 545 What is next in 91298, 91240, 91180, 91124, 91078, 91048? 91040 What comes next: -16112, -16029, -15838, -15497, -14964, -14197, -13154? -11793 What is the next term in -184099, -184297, -184495? -184693 What is next in -32675062, -32675065, -32675068, -32675071, -32675074, -32675077? -32675080 What is the next term in 3076, -753, -7136, -16073? -27564 What is next in 2075, 7842, 17445, 30884, 48159, 69270? 94217 What is the next term in 344, 2653, 4962, 7271, 9580, 11889? 14198 What comes next: 1272, 761, -646, -3399, -7948? -14743 What comes next: 1248985, 1248832, 1248659, 1248454, 1248205? 1247900 What comes next: -1498, -7962, -25408, -59296, -115086, -198238, -314212, -468468? -666466 What is next in 2801, 5251, 7673, 10067, 12433? 14771 What comes next: 9323526, 9323524, 9323520, 9323514, 9323506, 9323496? 9323484 What is the next term in -221, -3609, -12807, -30725, -60273, -104361? -165899 What is next in 1810, 2151, 2706, 3475, 4458? 5655 What comes next: 47186, 47397, 47610, 47825, 48042? 48261 What is the next term in -623217, -1246448, -1869693, -2492952, -3116225, -3739512? -4362813 What is the next term in 4521, 19056, 43279, 77190, 120789, 174076? 237051 What comes next: 11569, 41996, 92711, 163714, 255005? 366584 What is next in 175852, 351607, 527362? 703117 What comes next: 12765274, 25530544, 38295814, 51061084? 63826354 What is next in 696, 1290, 1720, 1986, 2088? 2026 What is next in -5260, -5118, -4850, -4450, -3912, -3230? -2398 What is the next term in -1700973, -1700872, -1700767, -1700658? -1700545 What comes next: 374872, 1499516, 3373922, 5998090? 9372020 What is next in -3090109, -6180192, -9270275, -12360358, -15450441, -18540524? -21630607 What is the next term in -2406, -4997, -7652, -10389, -13226, -16181, -19272, -22517? -25934 What is next in -278801, -1115141, -2509069, -4460609, -6969785? -10036621 What is next in -597, -1113, -1673, -2277? -2925 What is the next term in -2593, -9375, -20547, -36109, -56061, -80403, -109135? -142257 What is next in -2574, -1670, 750, 5430, 13114? 24546 What is next in 25584, 51103, 76610, 102105, 127588, 153059, 178518? 203965 What is the next term in -4714027, -9428060, -14142097, -18856138, -23570183? -28284232 What comes next: -7265, -14729, -22193, -29657, -37121? -44585 What comes next: -7524, -30389, -68316, -121155, -188756? -270969 What comes next: -3962320, -7924652, -11886984, -15849316, -19811648? -23773980 What is the next term in 9552, 9337, 9122, 8907, 8692? 8477 What comes next: -14486, -28654, -42820, -56984? -71146 What comes next: 221404, 442757, 664046, 885271, 1106432, 1327529, 1548562? 1769531 What is next in -215485, -215423, -215361, -215299, -215237, -215175? -215113 What is next in 271, 1240, 2177, 3082, 3955, 4796? 5605 What is next in 1066, 4137, 12486, 28753, 55578, 95601, 151462? 225801 What comes next: 51441, 51619, 52087, 52989, 54469? 56671 What is next in -1554, -12925, -43916, -104331, -203974, -352649, -560160? -836311 What is the next term in 2341455, 9365780, 21072975, 37463034, 58535951, 84291720, 114730335? 149851790 What is next in -59, 1324, 5037, 12244, 24109, 41796, 66469? 99292 What comes next: -10651, -42603, -95855, -170413, -266283? -383471 What is next in -1739, 19627, 77619, 190549, 376729? 654471 What is the next term in -16091, -14752, -13411, -12068, -10723, -9376? -8027 What is the next term in 66389, 265521, 597407, 1062047, 1659441, 2389589, 3252491? 4248147 What is the next term in 898330, 3593270, 8084818, 14372974, 22457738? 32339110 What comes next: -7115, -44633, -107155, -194675, -307187? -444685 What is the next term in 90842, 363346, 817512, 1453340, 2270830? 3269982 What comes next: -2802323, -11209233, -25220749, -44836871? -70057599 What is the next term in 643185, 1286378, 1929571, 2572764, 3215957? 3859150 What comes next: 124096, 124143, 124218, 124321, 124452, 124611? 124798 What comes next: 1745, 3406, 5155, 6998, 8941? 10990 What comes next: 56773586, 56773594, 56773602, 56773610, 56773618, 56773626? 56773634 What is the next term in 1406, 1426, 1448, 1472, 1498, 1526, 1556? 1588 What comes next: 22, 617, 1688, 3295, 5498,
{ "pile_set_name": "DM Mathematics" }
29). 34 Let q(x) = -31*x - 213. What is q(-2)? -151 Let s(u) = u**3 + 3*u**2 - 407*u - 2372. What is s(-6)? -38 Let g(l) = 270*l - 2684. Give g(10). 16 Let l(m) = 15*m - 776. What is l(67)? 229 Let c(n) = -n**2 + 29*n - 93. Calculate c(17). 111 Let z(u) = -10*u**3 + 80*u**2 - 75*u + 25. Calculate z(7). -10 Let j(m) = -10*m + 97. What is j(-13)? 227 Let b(s) = -68*s - 4965. Determine b(-73). -1 Let t(r) = -19*r**2 - 235*r - 54. Give t(-12). 30 Let d(t) = 60*t + 373. Determine d(-6). 13 Let c(u) = -u - 18. Calculate c(-34). 16 Let b(n) = -44*n + 2660. Give b(55). 240 Let f(t) = -2*t + 8. Calculate f(-17). 42 Let t(s) = 8*s**3 - 24*s**2 - 5*s - 14. Determine t(5). 361 Let d(x) = -x**3 - 196*x**2 + 16639*x - 253. Give d(-260). 7 Let i(m) = -m**3 - 5*m**2 + 17*m + 13. Determine i(-7). -8 Let k(b) = -2*b**2 - 467*b + 2640. Determine k(-239). 11 Let m(u) = -131*u**2 - 916*u + 1. What is m(-7)? -6 Let g(v) = 10*v - 154. Give g(25). 96 Let w(s) = -351*s - 2103. Calculate w(-6). 3 Let t(i) = i**3 + 16*i**2 + 46*i + 246. Calculate t(-14). -6 Let p(f) = 11*f + 402. What is p(-51)? -159 Let v(t) = -19*t + 55. What is v(16)? -249 Let n(q) = -q**2 + 419*q - 5284. Give n(13). -6 Let g(h) = -58*h - 3339. What is g(-60)? 141 Let v(z) = -16120*z - 257920. Give v(-16). 0 Let y(g) = 19*g + 401. Determine y(-20). 21 Let u(z) = -z**2 + 2*z + 87. Determine u(11). -12 Let y(v) = -v**2 + 454*v - 7270. What is y(16)? -262 Let x(c) = -4*c**3 + 3*c**2 - 4*c - 2. Calculate x(2). -30 Let j(a) = -2*a**3 - 48*a - 103. Give j(-2). 9 Let l(m) = -10*m**3 + 10*m**2 - 21*m + 22. Calculate l(1). 1 Let h(x) = -73*x - 3030. Calculate h(-43). 109 Let f(x) = 108*x - 129. Give f(1). -21 Let p(r) = -r**2 + 38*r + 799. Calculate p(53). 4 Let a(i) = -44*i - 122. Determine a(0). -122 Let k(s) = -s**3 + 61*s**2 + 251*s - 15296. Determine k(61). 15 Let w(o) = -19*o - 1085. Calculate w(-26). -591 Let c(r) = -r**3 + 21*r**2 + 24*r - 103. What is c(22)? -59 Let l(b) = b**3 + 4*b**2 + 17*b + 10. Determine l(-6). -164 Let g(p) = 22*p - 1186. Determine g(49). -108 Let t(g) = g**2 + 57*g + 1. What is t(0)? 1 Let f(a) = 7*a**3 - 14*a**2 + 18*a - 2. Give f(4). 294 Let b(y) = 2*y**3 - 63*y**2 - 37*y + 192. Determine b(32). 32 Let g(c) = c**3 + 37*c**2 + 46*c + 363. Calculate g(-36). 3 Let m(t) = 877*t + 5297. What is m(-6)? 35 Let w(u) = -3*u**2 - 23*u - 70. Calculate w(-12). -226 Let f(c) = -c**3 + 46*c**2 - 131*c + 94. Give f(43). 8 Let a(d) = -1995*d - 21927. Determine a(-11). 18 Let d(v) = v**2 - 10*v - 316. What is d(25)? 59 Let k(o) = -o**3 - 27*o**2 - 16*o + 255. What is k(-26)? -5 Let o(f) = 6*f**2 - 43*f + 30. Give o(7). 23 Let t(b) = -10*b**2 - 80*b + 518. Give t(-12). 38 Let q(d) = d**2 - 30*d - 100. What is q(31)? -69 Let r(y) = -2*y**2 - 242*y + 3313. Give r(-133). 121 Let p(r) = -16*r + 73. What is p(11)? -103 Let l(q) = 2*q**2 - 1804*q + 8988. Determine l(5). 18 Let c(j) = -j**3 + 5*j**2 + j + 29. Calculate c(6). -1 Let z(x) = x**2 - 144*x + 4928. Give z(88). 0 Let n(r) = -r**3 - 23*r**2 - 80*r - 44. What is n(-19)? 32 Let w(f) = -75*f - 526. Give w(-7). -1 Let w(t) = t**2 + 564*t - 8683. What is w(15)? 2 Let b(z) = -z**3 - 5*z**2 + 12*z + 39. Give b(-6). 3 Let a(k) = 7*k + 227. Determine a(-16). 115 Let i(m) = m**3 + 23*m**2 + 172*m + 3961. Determine i(-23). 5 Let o(i) = -573*i - 4019. Calculate o(-7). -8 Let t(k) = 6*k + 231. Calculate t(0). 231 Let l(p) = -3*p**2 - 65*p + 133. Determine l(2). -9 Let i(c) = -c**2 - 56*c - 411. Calculate i(-52). -203 Let k(z) = 2*z**2 + 20*z + 77. What is k(-9)? 59 Let v(s) = 8*s**3 + 59*s**2 - 40*s - 19. Determine v(1). 8 Let u(w) = w**2 + 824*w - 2472. Give u(3). 9 Let t(h) = -h**3 - 30*h + 10. Give t(5). -265 Let h(w) = -87*w**2 + 291*w - 291. Give h(1). -87 Let z(y) = 10*y**2 + 160*y - 157. Determine z(-17). 13 Let u(h) = -h**2 + 137*h + 2449. Calculate u(153). 1 Let j(v) = 563*v + 1126. Calculate j(-2). 0 Let o(y) = 3*y**2 - y + 2. Determine o(2). 12 Let s(c) = -c**3 - 8*c**2 + 9*c - 15. Determine s(-7). -127 Let h(y) = -385*y + 4665. Determine h(12). 45 Let h(b) = -9*b**2 + 43*b - 1. Give h(4). 27 Let y(s) = -316*s + 4068. Calculate y(13). -40 Let o(l) = 4*l**3 + l**2 + 6*l + 6. Give o(-1). -3 Let c(g) = -85*g + 516. Calculate c(6). 6 Let q(p) = 19*p + 152. Give q(-4). 76 Let s(m) = m**2 + 48*m + 36. Determine s(-49). 85 Let j(l) = 250*l + 3509. Determine j(-14). 9 Let f(r) = -r**2 + 26*r + 6444. What is f(-68)? 52 Let w(m) = -1589*m + 90581. What is w(57)? 8 Let o(l) = -l**2 + 17*l + 425. What is o(-14)? -9 Let t(h) = 5*h**2 + 2*h - 14. What is t(5)? 121 Let t(f) = -113*f**3 + 2*f**2 - 37*f - 37. Calculate t(-1). 115 Let z(s) = -2*s**2 + 31*s - 56. What is z(2)? -2 Let t(n) = -n**2 - 8*n + 305. What is t(13)? 32 Let c(f) = -f**3 - 10*f**2 - 59*f - 277. Give c(-7). -11 Let s(v) = -v**2 + 15*v + 9. Determine s(14). 23 Let w(t) = 21*t**2 + 15*t + 27. Determine w(-2). 81 Let r(b) = 64*b - 312. What is r(6)? 72 Let p(u) = 111*u + 7441. What is p(-67)? 4 Let v(a) = 2*a**3 + 184*a**2 + 15*a + 1362. Give v(-92). -18 Let o(z) = -5035*z - 130913. Calculate o(-26). -3 Let p(f) = 2*f**3 - 6*f**2 + 17*f - 20. Calculate p(5). 165 Let x(t) = 2*t**2 - 13*t - 22. Give x(7). -15 Let l(b) = 6*b**2 - 187*b + 994. Determine l(7). -21 Let o(m) = 2*m**3 + 13*m**2 - 55*m + 29. Determine o(3). 35 Let s(q) = -q**2 + 41*q + 74. Calculate s(52). -498 Let r(a) = a**3 - 28*a**2 + 74*a + 40. Calculate r(25). 15 Let b(w) = w**3 - 50*w**2 + 61*w - 58. What is b(49)? 530 Let w(v) = -2*v**3 + 64*v**2 - 224*v. Give w(28). 0 Let r(i) = 39*i - 566. Give r(14). -20 Let j(b) = -438*b + 2801. Give j(6). 173 Let y(z) = z**3 - 88*z**2 - 112*z + 2046. What is y(89)? -1 Let z(w) = -w**3 + 84*w**2 + 3003*w + 156. Give z(-27). -6 Let b(i) = -i**2 + 17*i - 68. Determine b(3). -26 Let b(d) = -6*d**2 - 116*d + 94. Calculate b(-20). 14 Let v(w) = w**3 + 2*w**2 - 3*w + 33. Calculate v(-6). -93 Let o(m) = 3*m**2 - 143*m + 1133. Give o(10). 3 Let n(z) = 3*z**3 + 7*z**2 - 19*z - 14. Give n(-5). -119 Let i(w) = -w**3 + 45*w**2 + 256*w - 299. What is i(50)? 1 Let x(r) = 3*r + 45. Determine x(8). 69 Let j(y) = 238*y + 5177. Calculate j(-21). 179 Let t(h) = 54*h + 686. Calculate t(-10). 146 Let u(w) = w**3 - 33*w**2 + 175*w - 345. What is u(27)? 6 Let l(x) = 261*x - 1539. What is l(6)? 27 Let z(x) = 8*x - 121. Determine z(31). 127 Let b(i) = i**2 + 6769*i + 7. Calculate b(0). 7 Let v(x) = -206*x**2 - 5*x - 6. What is v(-1)? -207 Let c(i) = i**3 - 9*i**2 + 50*i + 8. What is c(4)? 128 Let j(l) = l**3 + 113*l**2 + 134*l + 2441. Give j(-112). -23 Let f(t) = t**2 + t - 9. Determine f(9). 81 Let a(g) = 3*g**2 - 25*g - 126. Give a(12). 6 Let v(a) = -92*a + 384. Give v(4). 16 Let j(u) = 28*u - 404. Calculate j(13). -40 Let c(j) = 28*j + 437. Calculate c(-15). 17 Let i(t) = t**3 + 21*t**2 + 81*t - 52. Determine i(-16). -68 Let r(d) = d**3 - d**2 - 7*d + 42. What is r(0)? 42 Let r(j) = -2*j**3 - 196*j**2 + 29*j + 2833. Give r(-98). -9 Let o(d) = -221*d + 1318. Give o(6). -8 Let h(j) = -14*j**2 - 113*j + 298. What is h(2)? 16 Let k(f) = f**2 + 224*f + 10779. Determine k(-70). -1 Let j(o) = -32*o - 35. What is j(-4)? 93 Let r(o) = -o**3 - 4*o**2 - 131*o - 264. Determine r(-2). -10 Let r(a) = -2*a**3 - 71*a**2 + 121*a + 347. Calculate r(-37). -23 Let x(d) = -715*d - 716. What is x(-1)? -1 Let a(i) = 2*i**2 + 102*i - 1389. Determine a(13). 275 Let k(o) = -o**3 - 7*o**2 - 21*o - 75. What is k(-5)? -20 Let m(z) = z**2 + z - 130. Determine m(0). -130 Let n(v) = 445*v - 15131. Give n(34). -1 Let o(x) = -82*x - 173. Give o(3). -419 Let r(v) = v**2 - 56*v - 8. Calculate r(0). -8 Let x(a) = -a**3 - 30*a**2 + 5*a + 118. Determine x(-30). -32 Let z(p) = 49*p - 272. Determine z(9). 169 Let x(n) = -48*n**2 - 6*n + 6. What is x(1)? -48 Let g(p) = 33*p**2 - 527*p - 26. Calculate g(16). -10 Let c(u) = -u**3 - 32*u**2 + u + 75. Determine c(-32). 43 Let b(u) = -56*u - 1838. Calculate b(-33). 10 Let m(r) = -64*r - 5574. Give m(-87). -6 Let p(l) = 155*l**2 + l + 2. Calculate p(1). 158 Let f(u) = 17*u**2 - 174*u + 21. Calculate f(10). -19 Let w(v) = 122*v + 2035. Determine w(-17). -39 Let g(x) = -13*x**2 - 12*x + 142. Give g(-8). -594 Let q(m) = -m**3 - 17*m**2 - 55*m + 5. Give q(-13). 44 Let h(r) = -r**3 + 10*r**2 + 28*r - 339. Wh
{ "pile_set_name": "DM Mathematics" }
. f**(-7566/5) Simplify (g**(-2/13)*g*g)/g**(-4)*g**(-8/9)*g/g**3*g assuming g is positive. g**(463/117) Simplify (x**(2/11)/x**(-35))**(-41) assuming x is positive. x**(-15867/11) Simplify ((p**(2/49)*p*p/(p*p**(-23)))**(-10))**(-29) assuming p is positive. p**(341620/49) Simplify (s**12/s*s**(2/81)*s)/(s*s**(-1/12))**(-9) assuming s is positive. s**(6569/324) Simplify (k*k/k**(-1/17)*k**2)/((k*(k/k**(-1))/k*k*k)/(k/k**10)) assuming k is positive. k**(-152/17) Simplify u**(-3/4)*u*u/(u*u*u**2)*(u**4/u)**24 assuming u is positive. u**(277/4) Simplify y**5/y**5*y*y/y**19*y**0 assuming y is positive. y**(-17) Simplify ((u**8*u*u/(u*u/(u**0*u)))**(1/61))**(-17) assuming u is positive. u**(-153/61) Simplify (a**(-1)*a**(1/10))/(a**13/a**(-1/4)) assuming a is positive. a**(-283/20) Simplify (v*v**8)/v**(-2/17)*(v*v*(v*v**(-1/7))/v)**(-1/14) assuming v is positive. v**(14969/1666) Simplify g/(g/g**(-8))*g**7*(g*g/(g**(2/3)*g))**(-23) assuming g is positive. g**(-26/3) Simplify (((b**3*b)**(-45/7))**(-1/25))**(16/7) assuming b is positive. b**(576/245) Simplify ((y/y**(1/6))/y)/y**(-17/4)*y**23/((y/y**(-2/67)*y)/y) assuming y is positive. y**(20947/804) Simplify (k/k**24)/k**(-10)*k**(-1/2)*k/(k/(k*k**(-8/5))*k)*k assuming k is positive. k**(-141/10) Simplify m**(-6/17)*m*m/(m**(-8)/m)*(m**(-5/2)*m)/(m/(m*m**1*m)) assuming m is positive. m**(379/34) Simplify (w**5*w**12)/(w*w/(w/(w/((w**(1/13)/w*w)/w)))*w*w**12) assuming w is positive. w**(14/13) Simplify (l**(-2/21)/l*((l/l**(-26))/l)/l)**16 assuming l is positive. l**(8032/21) Simplify (k/(k**(2/7)*k)*k/(k/((k/((k**(14/5)/k*k*k)/k*k)*k)/k)))/((k/k**(-17))/k**(-1/11)) assuming k is positive. k**(-8153/385) Simplify (((u**(-4)*u*u)/(u**5/u))/(u*u/((u**(3/10)/u)/u)*u**(1/16)))**(-3/2) assuming u is positive. u**(2343/160) Simplify ((b/b**(-2/13))/b)/b**(-10)*(b/((b*(b*(b*b**(-11/4)/b)/b)/b)/b*b)*b)/(b**4*b) assuming b is positive. b**(515/52) Simplify (f/(f*f/f**(-3)))**(-1/12)/(f/((f/f**(7/6))/f)*f**(-2/23)) assuming f is positive. f**(-241/138) Simplify (((s*s**(2/9)*s)/(s*s/(s/s**(-1))))/(s**5/s*s*s*s*s*s/(s/((s**(2/25)/s)/s)*s)*s))**(-11/8) assuming s is positive. s**(2387/450) Simplify c**(3/7)*c*c**(1/11)*(c**(1/6))**(-8/5) assuming c is positive. c**(1447/1155) Simplify ((s**(-30))**(-2/97))**(-50) assuming s is positive. s**(-3000/97) Simplify (y*y/((y**(-6/5)*y)/y)*y**(-5/4))/(y/y**(-1/7))**(-30/7) assuming y is positive. y**(6711/980) Simplify (b/(b*(b/b**(-2/15))/b*b))/(b**(-5/4)/b*b)*b*b**(2/9)*(b**(-2/17)*b)/b assuming b is positive. b**(3737/3060) Simplify j**(-1)/(j**(2/17)/j)*(j*j*j*j**(-18)*j)/(j**(-1/18)*j) assuming j is positive. j**(-4609/306) Simplify ((c**(-12/11)/c)/(c*c**(-4/25)))**(-4/11) assuming c is positive. c**(3224/3025) Simplify h**9/(h**(-17)*h)*(h**(-6))**(-13) assuming h is positive. h**103 Simplify (((k/k**15)/((k**(-2/45)/k)/k))**(-38))**(-3/2) assuming k is positive. k**(-10222/15) Simplify y**(-7)/y**14*((y/y**(-2/5))/y)/(y*(y/(y*y**(-1/3)))/y) assuming y is positive. y**(-314/15) Simplify (t**2)**30*(t/t**11*t)**(-1) assuming t is positive. t**69 Simplify x**2/(x/(x**(-3)*x))*x/(x*x**(-1)*x*x)*(x**(2/3)*x)/x assuming x is positive. x**(-4/3) Simplify (((i/(i/((i**(-11)*i)/i)))/(i**(-9)/i))**13)**(23/2) assuming i is positive. i**(-299/2) Simplify t*t*(t*t*t**(2/27))/t*t*t*(t*t*(t/(t/t**(-4/5)))/t)/t*(t*t**(1/7)*t)/t**(-8/7) assuming t is positive. t**(7144/945) Simplify ((j**0)**(-16/5)*(j**(1/3))**(-24))**(-36) assuming j is positive. j**288 Simplify (j/(j/j**(-2/7))*j)**26/((j**(-7/3)/j)/(j/(j*(j/j**13)/j))) assuming j is positive. j**(733/21) Simplify ((y/(y*(y**11/y*y)/y))/(y*y**(11/5)))/(y*y**(-1/7)*(y/((y*y**14)/y))/y) assuming y is positive. y**(-2/35) Simplify ((x**(-1/22)*x)/x*x**(-1/5))/(x**(-4))**(6/5) assuming x is positive. x**(501/110) Simplify ((a*a/(a/(a**(-8)*a))*a/a**(-5))**(1/45))**(-29) assuming a is positive. 1 Simplify (d*d**(-33)*d/((d/(d*d**(-13))*d*d)/d))/(d**(-24)*d)**(-7) assuming d is positive. d**(-206) Simplify ((u*u**4/u*u**(-2/9)/u)/(u*u*u**2/u*u*u**1))**(-30) assuming u is positive. u**(200/3) Simplify p**(-1)*(p**(3/7)*p*p)/p*p*(p**(-4/7)/p)**(-18) assuming p is positive. p**(208/7) Simplify ((p**(2/5))**(2/17)*p/(p/(((p/((p*p**(3/10))/p))/p)/p))*p**1)**44 assuming p is positive. p**(-946/85) Simplify ((r*r*r**(2/17))/r)/(r/(r/(r*r*r**(3/10))))*r/(r**(-2)/r)*r*r**(1/17) assuming r is positive. r**(659/170) Simplify (n**12*n**(-2/3))/((((n**(-38)*n)/n)/n)/(n*n**34*n)) assuming n is positive. n**(259/3) Simplify (y**(3/14)*y/y**22)/(((y/(y/(y**(6/11)*y)))/y)/(y/((y/(y/(y**(-11/3)/y)))/y))) assuming y is positive. y**(-6775/462) Simplify (q**4/(q/(q/q**1))*q*q**(-2/3)/q*q**7)**(-19) assuming q is positive. q**(-532/3) Simplify (y*(y*y**(1/39)*y)/y*y)**(-33)*(y*y**(3/16))/(y/(y**(-15/2)*y)) assuming y is positive. y**(-22081/208) Simplify (i**(-15)*i**(-16))/((i/((i/i**(2/3))/i)*i)/(i*i*i**(2/69)*i)) assuming i is positive. i**(-2114/69) Simplify (((v**8/v)/v*v**6*v)/(v*v**4*v)**(-26/3))**(-3/4) assuming v is positive. v**(-195/4) Simplify ((h/h**(2/3))/(h**(-1/4)/h*h*h))/(h**(-1/13)/(h*h**(-6/7)*h)) assuming h is positive. h**(877/1092) Simplify ((s**(2/29)/s)/((s*(((s*s**(-1/6))/s)/s)/s)/s))/(((s**(2/67)/s*s)/s)/s**(-18)) assuming s is positive. s**(-184129/11658) Simplify d/(d/d**10*d)*d*d/(d*(d/(d/(((d*d**(10/9))/d)/d)))/d)*(d*d/(d/(d**(-3/4)*d)))/d*d**(-16) assuming d is positive. d**(-175/36) Simplify ((a/(((a*a/((a**15*a*a)/a*a))/a)/a)*a)/(a/(a/a**(-1/6))*a))**(1/12) assuming a is positive. a**(109/72) Simplify (q*q**(21/2)/q)**(1/42)*q**(-1/4)/(q*q**(-12)) assuming q is positive. q**11 Simplify (b**(2/11))**(-3/41)*(b/(b*b/(b/(b*b/b**2)*b))*b*b)**(-8/5) assuming b is positive. b**(-10854/2255) Simplify (f*f**2/f)**0*f**11*f/f**11 assuming f is positive. f Simplify ((y**(-4)/y)/(y**17*y*y*y))/(y*y*y*(y/(y**(2/21)*y))/y*y*y*(y*y*y**(3/2)*y)/y) assuming y is positive. y**(-1361/42) Simplify (n*n*n*n**(-2/19)/n)**(-37)/((n/n**(8/11))/((n/n**(4/13))/n)) assuming n is positive. n**(-192053/2717) Simplify ((u**1)**(10/11)*u**2/u*u**6/u)**50 assuming u is positive. u**(3800/11) Simplify (((h/((((h**(-1/22)/h)/h)/h)/h))/h)/h**(-1/15))/((h**(-29)/h*h)/(h*(h/h**(-15/8))/h)) assuming h is positive. h**(47503/1320) Simplify (t*t**15*t)/t**(-1)*(t/t**6)**23 assuming t is positive. t**(-97) Simplify (f**(-1/4)*f)/f**(-1)*f**(-3)*f*f/((f*f**(3/14))/f)*f*f assuming f is positive. f**(71/28) Simplify (j*j**(-11))/j**7*(j/(j*j**1*j))**(2/49) assuming j is positive. j**(-837/49) Simplify l/(l**(3/2)/l*l)*((l*l**(-1/14))/l)/l*l*l/l**7*l**(10/3) assuming l is positive. l**(-68/21) Simplify ((p**5/(p*p**(-11)*p))**33)**25 assuming p is positive. p**11550 Simplify (d**(-1/2)/d*d/(d**(2/11)/d)*(d**2/d)**(-9/8))**(-1/10) assuming d is positive. d**(71/880) Simplify (a**(7/3)*((a*a**(-2/53)/a)/a)/a)/(a*(a/(a*a**(-12)))/a*a*a*a**(-10/9)) assuming a is positive. a**(-6007/477) Simplify (f**20/((f**(13/3)*f)/f))/((f/f**(12/11)*f)/(f/(f/((f**(-4/17)*f*f)/f)))) assuming f is positive. f**(8708/561) Simplify v**(2/41)*v**13*v*v*v**(-13)*v*v*v**(10/11)*v assuming v is positive. v**(2687/451) Simplify (d/(d*d**2))/(d**(-14)*d)*(d**(-4)/d)**(-37) assuming d is positive. d**196 Simplify ((s**14*s)/(s/(s/(s*s**27*s))))/(s**(-2/23)/s)**(-20/7) assuming s is positive. s**(-2754/161) Simplify (s**(6/5)/s**(-2/5))/((s*s/s**15)/s**(-14)) assuming s is positive. s**(3/5) Simplify ((((m*m*m*m**0*m)/m*m)/(m/m**(-1/4)))/(m*m**7*m**(-6/5)))**24 assuming m is positive. m**(-486/5) Simplify ((k**1*k)/k*k*k**(-2/95))**(-2/21) assuming k is positive. k**(-376/1995) Simplify ((w/w**(-3/11))/w*w**8)/(w**(-9)*w*(w*w*w*w/(((w/(w*w**(-12))*w*w*w)/w)/w))/w) assuming w is positive. w**(289/11) Simplify b/(b*(b*b**(-17))/b)*b*b**(1/19)*(b**(-15)*b)/b**(2/9) assuming b is positive. b**(655/171) Simplify (o**23*o**(-3))/(o**(-10)/(o*((o*o**(-8/9)*o)/o)/o*o*o)) assuming o is positive. o**(289/9) Simplify ((n*n*(n*n/n**(5/4))/n)/(n*n**(-31)*n*n))**(-32/9) assuming n is positive. n**(-952/9) Simplify (v**(-1))**(-2/63)*((v*v**(-1/4)*v)/v)**(-9/5) assuming v is positive. v**(-1661/1260) Simplify (b**(2/45)/b*b)**(-3/14)/(b**(2/15))**(-1/2) assuming b is positive. b**(2/35) Simplify ((
{ "pile_set_name": "DM Mathematics" }
8)) + (-3 - 1)? -2/37 (-30)/66*(5/3 - 76/114) -5/11 What is the value of (78/5187)/((-5)/(32 - -3))? -2/19 (-684)/7182 + 155/2730 -1/26 Evaluate 10/((-22)/(-71 - -5)). 30 Calculate (4675/(-17))/25 - 9. -20 Calculate 1*(1956/(-276) + 7). -2/23 (-3)/((-60)/(-8) - 15) 2/5 ((-1)/(-5))/(-2 + (-111)/(-55)) 11 What is (272/(-204))/(3 + (-579)/189)? 21 Evaluate -4 + 3 - (-9)/(7425/795). -2/55 What is the value of 91/(-21) - -6 - ((-10)/(-12) + 1)? -1/6 What is the value of 648/234*(-7)/28*-26? 18 What is 4/54 + 12060/1215? 10 What is 568*(-21)/546 - -22? 2/13 5934/(-344) - (-9)/(-12) -18 What is the value of (-3 - (-73)/25)/(7 - 1491/210)? 4/5 (-56)/(11760/18)*60/(-3) 12/7 Calculate (-9)/(-21) - (-14)/147*615/(-90). -2/9 Evaluate 24/(-13) + 422/(-2743) + -13. -15 What is the value of 567/(-117)*26/(-6)? 21 Evaluate 8/36*9/(-6). -1/3 -3*(28/(-35) + (-4 - 668/(-60))) -19 What is ((-10)/9)/((-1672)/(-99) + -17)? 10 What is the value of (-680)/(-50) - (-2 + 16)? -2/5 Calculate ((-25)/90)/(460/(-414)). 1/4 What is the value of 22/(-33)*(-2964)/(-760)? -13/5 Calculate (3 + 448/(-70))/((51/(-30))/17). 34 Evaluate (-79 + 65 + (-248)/(-14))*-7. -26 Calculate 1 - 1 - (49/7)/7. -1 What is 39*(-37)/(41847/(-58))? 2 Evaluate (126/135)/((-105)/(-30)). 4/15 (-150)/150 + 4*2 7 Calculate (-20)/24 + 658/84. 7 What is the value of 8 + 1484/(-132) + 175/75? -10/11 What is the value of (2 - 1)*(1 - (5 - 4))/(-3)? 0 Calculate (0 - 16) + 83440/5364. -4/9 What is (795/(-2915))/(6/4)? -2/11 What is the value of (21 - 25/25) + -15? 5 (2/(-20) + (-3550)/(-500))*(-18 - -15) -21 Calculate (-12)/(-114) - (0 - 2460/95). 26 What is the value of ((-74)/185)/(1 - (-63)/(-15))? 1/8 What is the value of 140476/(-4152) - ((-21)/(-18) + 0)? -35 Calculate ((-5883)/(-212))/(-37) - 194/8. -25 What is the value of (-2 - 3)*(-17)/(-85)? -1 What is ((-11)/(2200/(-180)))/((-1)/(-10))? 9 Calculate (-890)/30 - 280/84. -33 What is the value of (-540)/(-24) + (232/16 - 9)? 28 Calculate (-35 - -34)*(63/15 - 4). -1/5 What is the value of 1218/(-1421) + (-1052)/(-1260)? -1/45 What is the value of ((-9)/12)/((378/(-16))/7)? 2/9 What is the value of 7/(-2)*(-51)/(1836/(-72))? -7 (988/324 + -3)*5/(-60)*-18 2/27 What is ((-9)/6)/((-18)/240*2)? 10 Calculate (9/4)/((-60)/(-20)) - 125/(-20). 7 Evaluate ((-1)/(-4))/(9/63*-7). -1/4 Evaluate ((-2815)/(-2252))/((-5)/(-88)). 22 What is the value of 6 + 83/(-5) + (44/(-10))/11? -11 What is -5 + 6 + 9 - (-24)/(8/(-2))? 4 ((7 + -3)*10/42)/(20/(-30)) -10/7 What is the value of (-642)/6634 - (-1618)/62? 26 (1575/396*-1 - -4)*24 6/11 Evaluate (-12)/(-8)*(-128)/48. -4 19 + 16 + (11 - 43) 3 Calculate 4042/21432 + 2/(-24). 2/19 (-153)/(-36) + 6 + (-4 - (-135)/36) 10 (333/(-999))/((-2)/(-12)) -2 What is the value of ((-7)/2)/(3/6) - (-1219)/159? 2/3 What is 4950/(-528) + 9/24? -9 Calculate (-39 + 40)*(-4)/236*2. -2/59 What is (42/8)/(7*162/(-3024))? -14 Evaluate 8/132 - (-24 + 23)*(-62)/(-66). 1 What is the value of (-6 + 7)/((-3)/(-3))*(3 + -8)? -5 (-3 + -1 + (-5 - -7))/(110/132) -12/5 What is the value of 8/12*(1 + -51 - 1)*-1? 34 Calculate (2/(-7))/((-160)/(-140)). -1/4 4*(-21)/28 + 0 -3 What is 7 - (55/(-5) + 10)? 8 What is the value of 23/((-897)/91)*54/(-105)? 6/5 Calculate 1/3 + 13*(-1)/156. 1/4 What is the value of 2*(-1)/16 + 16456/1088? 15 Calculate 16/20*(3625/(-58))/25. -2 (858/(-44) - -19)*-38 19 Calculate 1 - ((-16)/(-14))/1*7. -7 192/(-104) - (-36)/(-234) -2 Calculate (-128)/1792*14/(-8). 1/8 Evaluate (-6)/(132/(-48) + (1 + 6 - 11)). 8/9 Calculate (-4 + 7)/(6/2*(-19)/285). -15 What is the value of (36/21)/((-114)/(-1596))? 24 What is ((-2)/(-10)*-1)/(488/(-40) + 10)? 1/11 What is the value of (2/5 - (-26)/10)*8/24? 1 Evaluate ((-24064)/(-832) - 29)/((-2)/(-16)). -8/13 Calculate 10 - (6 - (-8 + 2)). -2 Evaluate (48/2200)/(18/66). 2/25 Evaluate -485 + 486 - (0 + (-10)/(-6)). -2/3 What is (-52)/(-136) + ((-520)/(-16))/(-65)? -2/17 Evaluate 40/(-16)*((-8)/(-20) + 70/(-125)). 2/5 What is the value of 109/(-30) + 406/3045? -7/2 What is 690/(-60) + (-9)/(-6)? -10 Evaluate (-4)/6*(-18)/102 + (-206)/17. -12 What is (-4)/40 - (-3)/(720/84)? 1/4 Calculate (6/(-4))/(26 - (-5535)/(-216)). -4 Evaluate (4/102*-1)/((-25)/(23 + 127)). 4/17 What is the value of (83/(-249))/((-2)/(-156))? -26 What is the value of 10/(-4)*(-832)/80? 26 What is (-6270)/(-285) + 153/(-3)? -29 ((-3)/(-2))/((-15)/50) -5 4 + 1 - (55 + -21 + -7) -22 Calculate 12*(-285)/(-1800)*10. 19 What is (-31)/(-40) + (-36)/90 - (-1675)/(-200)? -8 What is ((-1)/4)/1 - (-3239)/1580? 9/5 -17 - 7940/(-360) - 5*1 1/18 ((16/(-192))/(6/12))/(23/6) -1/23 Evaluate (885/45 - 21)/(-6). 2/9 (-1802)/1360*6 - 2*-4 1/20 9/54*(3 + -5) -1/3 Calculate (-8 - -4) + ((-110)/(-150))/(1/5). -1/3 What is 6*(2/8 + 55/(-60))? -4 What is the value of -4 - ((-4)/10 + 341/(-110))? -1/2 What is the value of (-21)/560*(45/10 + -2)*-4? 3/8 What is the value of 91/(-168)*3*(-2)/39? 1/12 What is (1/((-1)/(-2)))/(-27 + 4202/154)? 7 (100/25)/((-576)/(-312)) 13/6 45/(-40)*12/9*8/42 -2/7 What is the value of (-132)/(-55)*55/(-121)? -12/11 What is 45 + (12/10)/(669/(-8920))? 29 What is (11*(-90)/(-55))/(-10)? -9/5 1/((-5)/6)*(-2)/(4/10) 6 (-16)/(-5)*(-1740)/696 -8 What is (-11 - -1) + (-45)/10*(-4)/6? -7 What is the value of 26/65*(-47 - (-4 - -2))? -18 What is 15 + 5*835/(-275)? -2/11 Calculate (-50)/(1000/1190)*2/(-7). 17 What is (375/1000)/(6/(-44))? -11/4 Calculate 2 + 1*(-10 - (-8 + 3)). -3 Evaluate 1341 + -1361 + 274/14. -3/7 Evaluate (21413/57)/49 - 7. 2/3 What is (5/(-4) + 1)*(3 + (-65)/35)? -2/7 What is the value of 1 + 9/(-5) + (-14)/(770/671)? -13 1 + 11/(-21) + 0 - 618/(-6489) 4/7 What is (-6*-3*(-4)/(-168))/(8 + -9)? -3/7 What is 32*15/1920 + (-110)/(-8)? 14 What is (1726/14671 - (-412)/(-34))/(1 - -1)? -6 31/(-2) - 3*(-15)/18 -13 What is the value of (8 - (-11 + 9))*((-2)/(-8) + 0)? 5/2 Evaluate ((0 - -2)*-15*15/1950)/1. -3/13 What is (-5 - 1) + (-1)/((38/8)/(-19))? -2 12 - (-220)/(-28 - -6) 2 Evaluate (-8)/(8/(-9)) + -8. 1 Calculate 11 + 1872/(-169) + -2 + (-265)/(-65). 2 What is 14*(20 + -17 - 4)? -14 What is the value of -1 + 1 - (-92)/(-161)*-14? 8 What is (12/20)/((-110)/(-3300))? 18 (3 - (-14)/(-5))*-1*(-2 + -1) 3/5 What is the value of (((-11)/616)/(40/(-420)))/(-3)? -1/16 What is -3*(-2 + 15/6) + (-12)/(-16)? -3/4 (-76)/627*-11 - (-2 - (-23)/(-3)) 11 What is the value of 160/(-48)*84/(-35)? 8 Calculate 146/1387*(-38)/4. -1 Evaluate ((70/(-4))/7)/(((-399)/(-38))/21). -5 What is the value of (8 - (-11 + 10)) + -14? -5 Calculate ((-10215)/2270)/(201/(-6) - -2). 1/7 Evaluate 15057/8604*(-2)/7. -1/2 What is the value of 25 + (-13 - 239)/6? -17 What is (4/(-6) + 2)*(-810)/540? -2 What is (1592/6368)/((-1)/80)? -20 441/504*4/21 1/6 What is (-20)/(-20) + 4 + (-8 - -12)? 9 Calculate (432/(-84))/((-14)/(-49)). -18 What is the value of 173/(-19) + (-6 - (-580)/95)? -9 What is (-684)/780 - ((-16)/(-208))/(0 + -1)? -4/5 Calculate (-6)/11 - (-7888)/8976. 1/3 Evaluate 2/(6 + (35/(-5) - (-2)/4)). -4 Evaluate 1863/(-92) - (1 + 0) - (-57)/(-76). -22 Calculate (267/890)/((-9)/24). -4/5 Calculate ((-410)/46 - 0) + -4 + 360/92. -9 What is (-13 + (-2828)/(-105) - 14) + 2/(-15)? -1/5 What is (110/(-33))/(-5)*(-54)/90? -2/5 Evaluate 1*(13 - (19 + -15)). 9 What is the value of (9 + 0)*((-6)/9 + 2/2)? 3 Calculate ((-81)/(-459))/((6/(-4))/(-1)). 2/17 Calculate (-2 - -1*23/(-5)) + (-28)/70. -7 What is the value of ((-9)/2)/(1309/34 - 39)? 9 Calculate 30*3104/6720 + -1*13. 6/7 What is the value of (15/(-10) - (-232)/24) + 3/9? 17/2 (-676)/(-2366) - (-1 + (-8)/(-14)) 5/7 What is (12 + 299/(-26))/1 + 27/(-6)? -4 (-14 + 11)*((-8)/(-10))/(324/360) -8/3 What is ((-2)/(-2)*-2 + 12 + -14)/(-4)? 1 Evaluate (-14 + -2)/2 + -3. -11 (3*(-6)/27)/(238/204) -4/7 Evaluate ((-625)/875)/((-2)/6 - 20/(-42)). -5 Evaluate (2/1)/(335/(-7) + 25 - -23). 14 4/(-34) + 12221/1717 7 What is the value of (4/24)/(328/96)? 2/41 Calculate ((-52)/8 + 8)/(-5 + (-219)/(-42)). 7 What is (-234)/(-252) + 39/(-91)? 1/2 (-2772)/98*1 + 28 -2/7 What is 14 + (-4)/((-24)/(-66))? 3 What is ((-18)/(-24))/(((-2370)/(-1440))/79)? 36 What is the value of (-2 - (-12)/5) + 12 + 10582/(-880)? 3/8 What is the value of 10/30*10*((-408)/80)/(-17)? 1 (-6)/10*180/324 -1/3 What is the value of -3*(-2828)/(-10
{ "pile_set_name": "DM Mathematics" }
-28*g**5 Expand (-u**2 - u**2 + 0*u**2)*(-6*u**2 + u**2 + 4*u**2) + (-6*u + 4*u**3 + 6*u)*(-4*u + 2*u + u) - 2*u**4 + 2 - 2 + (2*u**3 + 0*u**3 - u**3)*(0*u + 5*u + 0*u). u**4 Expand 4*p**4 - 5*p**4 + 3*p**4 + (-3*p - p + p)*(-3*p**3 + 0*p**3 + 0*p**3) - 11*p + 11*p + 7*p**4. 18*p**4 Expand (3*s + 7*s**4 - 3*s - s**4 + 2*s**4 + 0*s**4 + (-5*s**2 + 5*s**2 - s**3)*(3 - 3 - 2*s))*(-18*s + 13*s + 21*s). 160*s**5 Expand (3*q**2 + q + q**2 - 6*q**2)*(32*q + 965 - 965 + (-2*q - 1 + 1)*(2 + 4 - 4) + 2*q + 3*q - 7*q - 3*q + q + 4*q + (1 - 1 + q)*(0 + 1 + 0)). -58*q**3 + 29*q**2 Expand -2*c**2 - 1 + 1 + (-3 + 4 + 0)*(0*c**2 - c**2 + 2*c**2) + (37098 + 75*c**2 - 37098)*(0 - 1 + 2). 74*c**2 Expand (2*u**2 - 2*u**2 - 2*u**2)*(-2*u - 2 + 2)*(-37 - 18 - 13). -272*u**3 Expand (-d**2 + 40 + d - 43 + d)*(-6 - 9 - 2). 17*d**2 - 34*d + 51 Expand ((-4*o + 0*o + 2*o)*(o - 2*o - o) + 2*o**2 - 3*o**2 + 3*o**2)*(0 - 5 - 2). -42*o**2 Expand (3 - 2*g - 3)*(216 + 3 + 121)*(-3 + 5 + 2). -2720*g Expand ((0*b - 2*b**2 + 0*b)*(0 - 3 + 2) + (-2 - 7 + 0)*(5 - 5 - 4*b)*(-20 + 4*b + 20) + (-3*b + b + 3*b)*(b + 0*b - 3*b))*(5 - 1 - 2). 288*b**2 Expand (n**2 + 3*n**2 - 5*n**2)*(6*n**2 + 4*n**3 - 8*n**3 - 7*n**2) - 4*n**5 + 7*n**5 - 2*n**5. 5*n**5 + n**4 Expand ((-2*z - 5*z + 5*z)*(2 + 3 - 6) - 6 - 5*z + 6)*(-2*z - z + 4 + 0*z). 9*z**2 - 12*z Expand -4223*t + 4223*t - 63*t**4 + (-2*t**2 - 2*t**2 + 3*t**2)*(t**2 + 0*t**2 - 2*t**2). -62*t**4 Expand (1 + 2 + 2 + (-1 - 1 + 3)*(2 + 3 - 3))*(-27*g**2 - 2*g**2 + 7*g**2). -154*g**2 Expand (-4*r + 4*r + 4*r**2)*(26*r - 296 + 296)*(-3 + 1 + 1). -104*r**3 Expand -3*c**5 + 0*c**5 + 2*c**5 + 0 - 2*c**5 + 0 + (4*c**2 - 24*c**4 - 4*c**2)*(0*c - 3*c + 2*c). 21*c**5 Expand (-52 - 23*m**2 + 52)*(-5 + 4 - 1) + (1 + m - 1)*(3*m + 3*m - 4*m). 48*m**2 Expand (21 + 4 + 6)*(2*x**3 + 0*x**3 - 7*x**3). -155*x**3 Expand (-2*f**2 + 2*f**2 + 7*f**2)*(-8 - 4 + 3)*(2 - 1 + 2). -189*f**2 Expand (-2*q - 8*q + 8*q)*(2 + 2*q - 2). -4*q**2 Expand (0*x**2 - 3*x**2 + 0*x**2 + (-x - 2*x + x)*(-2 + x + 2) + x**2 - x**2 + x**2 - 5*x**2 - 2*x + 2*x)*(x**3 - 10*x**3 - 36*x**3). 405*x**5 Expand 18*g**5 - 32*g**3 + 32*g**3 + (-3*g**2 + 5*g**2 - g**2)*(2*g**3 + g**2 - g**2) - 5*g**5 - g**5 + 3*g**5. 17*g**5 Expand (208 + 423 - 115 + 1040)*(l - 2*l + 0*l). -1556*l Expand (-3 + 3 + 1)*(96*w - 303*w - 256*w - w**3 - 64*w). -w**3 - 527*w Expand (51*c**3 - 26*c**3 + 1 - 1)*(c + 4*c - 2*c). 75*c**4 Expand -2*k**5 + 1 - 1 + (-4*k**2 + 4*k**2 - 3*k**2)*(-k + k - 2*k**3) + k**5 + k**5 - 4*k**5 + (6*k**4 - 5*k + 5*k)*(2*k - 2*k - 4*k). -22*k**5 Expand (-2*n + 0 + 0)*(-270*n**2 + 84*n**2 + 132*n**2) - n**3 + 4*n**3 - 2*n**3. 109*n**3 Expand (-4*i**3 - 2*i**3 + 4*i**3 + (-2*i**3 + 1 - 1)*(1 - 2 + 2))*(-15*i - 35 + 35)*(-1 + 1 - 2*i). -120*i**5 Expand (328 + 415 + 76)*(d - 2 + 2). 819*d Expand (-4*c + 4*c - 2*c)*(5*c**4 - 8*c**4 - 14*c**3 + 9*c**3 - 2*c**2). 6*c**5 + 10*c**4 + 4*c**3 Expand (3*j**3 - 2*j**3 + 0*j**3)*(0*j**2 + 6*j**2 - 4*j**2) + 9*j**5 + 20*j**5 - 44*j**5 + 3*j**4 + 2*j**5 - 3*j**4. -11*j**5 Expand (-2 + 0 - 1)*(4*z - 4*z - 2*z**2)*(-10*z**2 - 7*z**2 + 21*z**2) + 4*z**4 - 3*z**4 - 3*z**4. 22*z**4 Expand (20*a + 0*a + 10*a)*(-1 - 1 + 3)*(-5 + 4 - 2). -90*a Expand (-g + 1 - 1)*(-118*g**4 + 481*g - 481*g). 118*g**5 Expand (-9 + 9 - 18*c**2)*(c - 3*c + 0*c) + 26 + c**3 + 18 - 43 - 34*c. 37*c**3 - 34*c + 1 Expand 4 - 4 - 4*x**5 + (-255*x**3 + 147*x**4 + 255*x**3)*(-x + 0*x + 2*x). 143*x**5 Expand (3*j**2 - 4*j**2 + 2*j**2)*(4*j + 11948*j**2 - 4*j - 11897*j**2). 51*j**4 Expand -2*g**2 - g**2 + g**2 + (2*g - 2*g - g)*(-g + 3*g + 0*g) + 0*g**2 + 3*g**2 - 4*g**2 + 3*g**2 - 5*g**2 + 0*g**2 - 7410*g**2 + 9*g + 7437*g**2 + 2*g. 20*g**2 + 11*g Expand (31 - 1 + 33)*(-1 - 1 + 237*h + h**3 - 236*h). 63*h**3 + 63*h - 126 Expand 2*d**4 + d**3 - d**3 + 1 + 2*d**4 - 1 + (2*d + d + 3*d)*(-2*d**3 - 2 + 2) + d**4 + 0*d + 0*d + 3*d**4 - 3*d**4 - d**4. -8*d**4 Expand -806*s**3 - 28*s**5 + 811*s**3 + 6*s**5 - 2*s**5 + 0*s**5 + 5*s**5 + (-2*s + 0*s + 4*s)*(-s**4 + 0 + 0). -21*s**5 + 5*s**3 Expand -2*i**5 - i**5 + i**5 - 2*i**5 + 4*i**5 + 4*i**5 + (i - i + 2*i**2)*(-52*i**3 + 16*i**3 - 18*i**3). -104*i**5 Expand (t + 2*t + 0*t)*(2 - 2 - 1 + (3 - 3 + 2)*(-5 + 1 + 3) + 2 - 4 - 5) - 2*t + 0 + 0. -32*t Expand (-2 - 2 + 0)*(-57*w**2 + 170375 - 170375). 228*w**2 Expand (-4*g + 6*g + 5*g)*(-5 - 9 + 7). -49*g Expand 271*k - 862*k + 249*k + (-2*k + 3*k + k)*(4 + 1 - 3). -338*k Expand (3 + 4*o**2 - 3 + (7*o + 2*o - o)*(-3*o - 3 + 3))*(0 - 1 + 0). 20*o**2 Expand 3*d - 246*d**2 - d + 227*d**2 + (-1 + d + 1)*(-d + d - 2*d). -21*d**2 + 2*d Expand (t - 7*t - t)*(1 - 6 + 3)*(4*t + 0*t + 6*t)*(-3 + 3 - 7*t). -980*t**3 Expand 0*g**2 + 5*g**2 - 2*g**2 + (-2 + 2 - g)*(-1 - 11 - 9)*(-1 + 1 - 2*g). -39*g**2 Expand (9*u**2 + 2*u**4 - 9*u**2)*(6 + 2 - 4)*(-3 + 2 + 2 + (-2 + 0 - 1)*(6 - 2 - 2)). -40*u**4 Expand (6*c + 2*c + 9*c)*(1 + 2 - 6)*(1 + 2 + 1). -204*c Expand (3 + 4 - 5)*(-3 + 3 + 4)*(0 + 0 - 2*g)*(0*g + g + 4*g). -80*g**2 Expand (-2*h + 5*h - 2*h)*(294 + 43 + 378 + 387 + 296). 1398*h Expand -8*d**4 - 61*d**2 + 61*d**2 + (-2*d**3 - 2*d**3 + 3*d**3)*(0*d + 2*d - d). -9*d**4 Expand (-3 + 2*j + 3*j - 3*j)*(441*j**3 + 4*j**2 - 2*j**2 - 448*j**3)*(-3*j + 3*j - j). 14*j**5 - 25*j**4 + 6*j**3 Expand (8*g**2 + 10*g**2 + g**2)*(-2*g**2 + 0*g**2 + 4*g**2) + 12*g**4 + g**2 - 9*g**4 + 8*g**4. 49*g**4 + g**2 Expand (-1 + 1 + y**3)*(4*y**2 + 0*y**2 - 3*y**2) + 2*y**5 - y**5 + y**5 + 506 + 0*y**5 - 578 + 2*y**5. 5*y**5 - 72 Expand (1 + 0 - 6)*(111*i - 64*i - 67*i). 100*i Expand (4 + 7*a**2 - 4)*(27*a + 27 - 27). 189*a**3 Expand f**3 + 2*f - 2*f + 1 + (-f + f - f)*(-7*f**2 + 8*f**2 + 9*f**2). -9*f**3 + 1 Expand 8*r**4 + 100*r**2 - 9*r**4 - 253*r**2 + (0*r + 0*r - 2*r**2)*(2*r**2 + 3*r**2 - 3*r**2). -5*r**4 - 153*r**2 Expand (r**2 - 12 + 12)*(-2*r**2 + 0*r**2 - 3*r**2) + 2 + 2 - r**4 - 3. -6*r**4 + 1 Expand (26*s - 5*s**3 - 26*s)*((-16 + 5 - 8)*(1 + 1 - 4) + 2 + 0 - 6). -170*s**3 Expand (-64 + 64 - 7*r**2)*(3*r + 3*r - 3*r)*(r**2 - 2*r**2 - r**2). 42*r**5 Expand (3 - 5 + 3)*(99339 - 138*f - 99339). -138*f Expand (0 + 2 - 1)*(-2*s + 6*s - 2*s) + 36 - 35 - 64*s + 123*s. 61*s + 1 Expand -3*x**5 + x**5 + x**5 + (-3 + 3 - 2*x**4)*(0*x - 4*x + 3*x) - 3*x + 2*x**5 + 3*x + 730 - 360 - 2*x**5 - 370 - 138*x. x**5 - 138*x Expand (l**2 - 35 - 14 + 27)*(l + 2*l - l)*(9*l - 2*l + 0*l). 14*l**4 - 308*l**2 Expand ((-4 + 5 + 0)*(-4 + 7 - 2) + 15 - 32 - 25)*(o**4 + 0*o**4 + 2*o**4). -123*o**4 Expand (t**3 - 4*t**3 - t**3)*(4*t - 5*t + 3 + 9). 4*t**4 - 48*t**3 Expand (-1 - 1 + 3)*(17*u**2 - 85*u**2 + u - 3*u). -68*u**2 - 2*u Expand -21*s + 69*s**4 + 21*s + (-s**2 - 2*s**3 + s**2)*(0 + 0 - s). 71*s**4 Expand ((-2 - 3 + 3)*(-1 + 4 - 1) - 3 + 2 - 2 - 1 - 1 + 1)*((-4 + 5 - 3)*(5*c + c**3 - 5*c) - c**2 - c**3 + c**2). 24*c**3 Expand (-44*y - 235 + 235)*(5 + 0 + 3). -352*y Expand ((4 - 12 - 12)*(1 + 0 + 1) + (2 - 3 + 0)*(0 - 3 + 1) - 1 - 2 + 1)*(h - 2*h + 2*h). -40*h Expand 5*b**5 - 14*b**5 + 47*b**5 + (0 + 1 - 2)*(1 - 1 - 3*b**5). 41*b**5 Expand -x**2 - x**2 + x**2 + (-47 + 16 - 129)*(3*x + x**2 - 3*x). -161*x**2 Expand 17*m**3 - 13*m**3 + 6*m - 2*m**3 + 1 - 1 - m**3 + (-m**2 + 2*m - 2*m)*(-m - 3*m + 2*m) - 3*m**3 - m**3 + 2*m**3 + 4*m**3 - 4*m**3 - 2*m**3. -m**3 + 6*m Expand (2 - 1 - 4)*(-3*u + 0 - 3 + 2)*(-4 - 4 + 7). -9*u - 3 Expand (-6*k + 6*k + 3*k**2)*(-2*k**2 + 4*k**2 + 4*k**2)*(-2*k + 6*k - 8*k). -72*k**5 Expand (-11*b + 23*b + 5 - 10*b)*(-3 + 0 - 2). -10*b - 25 Expand 9*u**4 - 20*u**3 + 20*u**3 + (u + 3*u - 2*u)*(u**3 + 8*u**3 + 4*u**3). 35*u**4 Expand -2*k - 1 + 2*k - k**2 + (-10 + 10 + 12*k)*(0*k - k + 3*k). 23*k**2 - 1 Expand ((-3*s - 2*s + 2*s)*(0 + s + 0) - 3*s + 12 - 61*s**2 + 4*s + 62*s**2)*(-4 + 6 + 1). -6*s**2 + 3*s + 36 Expand (-3 + 9 + 7)*(2*i - i + 0*i + (3 - 5 + 1)*(0 - i + 0)). 26*i Expand (-10*m**3 + m**3 + 0*m**3)*(-m + 0*m + 2*m) - m**4 - m + m + (m**3 - 3*m**3 - m**3)*(-m - 1 + 1) + 2*m**4 - 4*m**4 + 3*m**4. -6*m**4 Expand (y**2 - y**3 - y**2)*(12 - 12 - 30*y**2 + 2*y**2 + 2*y - 2*y + (3*y - 4*y + 2*y)*(y + 2 - 2)). 27*y**5 Expand (0*z - z + 3*z)*(3*z**2 - 2*z**2 + 2*z**2 + 0*z**2 - 2*z**2 + 0*z**2 + (-5*z + z - 2*z)*(4*z - z - z)). -22*z**3 Expand (-55 - 9 + 8)*(3*x**2 - 3*x**2 + 3*x**4) + (-x - x + 4*x)*(4*x**3 + 0*x**3 - 2*
{ "pile_set_name": "DM Mathematics" }
hich is greater: 729767 or 729710? 729767 Is 9606 equal to 1135? False Which is greater: 2397178248 or 2397178247? 2397178248 Which is greater: -1399258/101 or -13854? -13854 Is 4020099 at least as big as -2? True Is -1915311 not equal to -1915330? True Is 148 greater than -0.62? True Which is bigger: -1 or -79/4901460? -79/4901460 Is -2174486 >= -2174534? True Which is smaller: -13646 or -2578964/189? -13646 Which is smaller: -5/109271682 or 0? -5/109271682 Is -702771 <= -703392? False Which is smaller: 5261958 or 20? 20 Is 80812/5 less than -0.04? False Is 0.3 less than or equal to -83.12046? False Which is smaller: 968740 or 968804? 968740 Which is greater: 4662566 or 4662549? 4662566 Is 545707220 greater than or equal to 545707218? True Is -586590 < 3? True Which is smaller: -43873451 or -43873454? -43873454 Is -303542/177 less than or equal to -1714? True Is -3935285 less than -3935089? True Which is smaller: -283/30 or 1288? -283/30 Is 1/171234251 > 1? False Is 80908471 at most 404542362/5? True Which is smaller: -1233101 or -1233072? -1233101 Which is smaller: 242897 or 242953? 242897 Is 4183 less than 6668? True Which is bigger: -13467571 or -13467567? -13467567 Which is smaller: 45 or 130057/2915? 130057/2915 Are 6606 and 151948/23 non-equal? True Are 40377 and 1251711/31 equal? False Which is smaller: -5993 or -14732? -14732 Do -14943369 and -14943373 have the same value? False Is 485595012 less than 485595014? True Which is bigger: 3272753 or 3272752? 3272753 Which is smaller: 56071 or 55941? 55941 Are -5234145 and -0.25 non-equal? True Is -62566934 bigger than -62566946? True Are 30.2751 and -1351 equal? False Is -6805386.5 at least as big as 0.1? False Is 70028 >= 70980? False Which is smaller: -0.015 or -33831? -33831 Which is smaller: -775 or -3/679000? -775 Is 567977 at most as big as 568958? True Is 5942 less than or equal to -8.1609? False Which is greater: -36332892 or -36332893? -36332892 Which is smaller: 677873 or 38638744/57? 38638744/57 Do -11514108 and -11514108 have different values? False Which is smaller: -1751014 or -1751061? -1751061 Which is smaller: 13485 or 13598? 13485 Is 2169.5 less than 2/62925? False Which is bigger: -19711 or -20430? -19711 Which is smaller: -23194 or -23199? -23199 Which is greater: 965503 or 693? 965503 Is 14446/253 equal to 57? False Do 4881 and 10826 have the same value? False Are 6754504 and 6754502 unequal? True Is 0 greater than or equal to -20242/19927? True Which is smaller: -339392 or -339395? -339395 Is 24/11 at least 173/1014? True Which is smaller: -557120 or -557061? -557120 Is -94175042 < -94175042? False Which is bigger: -3/147011 or 2/137? 2/137 Which is greater: 0 or 4042/17227? 4042/17227 Is -7806270 > -7806272? True Is -1673/38275 bigger than 0? False Which is smaller: 3972814 or 3972536? 3972536 Are -8246698 and -8246699 equal? False Is -22127/2091 less than -11? False Which is greater: -367680 or -367520? -367520 Which is greater: 1 or -2480/42451? 1 Which is greater: -38119848/43 or -886507? -886507 Are -199366/19359 and -9 nonequal? True Which is smaller: 401/110237 or 1? 401/110237 Which is bigger: -42175 or -42335? -42175 Which is bigger: 270077495 or 270077494? 270077495 Is -574180 < 466? True Is 6896/3039 at least as big as 2? True Is -40567275 < -40567277? False Is -207 less than or equal to -29315? False Is 172/9619737 at least as big as 0? True Is 79870/11827 less than 7? True Is 3/38 greater than or equal to 65751/2? False Is -340193865 greater than or equal to -340193865? True Is 40/11777543 bigger than 1? False Is -17/5 equal to -249297? False Which is smaller: 48037750 or 48037751? 48037750 Which is greater: 0 or 1/2078702? 1/2078702 Which is smaller: 91819 or 91884? 91819 Which is greater: -5960668 or 1/26? 1/26 Is 1 at least -4/11659699? True Are 1/3 and 1291.3261 non-equal? True Which is smaller: 0 or 1/55762400? 0 Which is smaller: 26765352 or 26765350? 26765350 Which is smaller: -5548825 or -16646476/3? -16646476/3 Which is bigger: -93433405 or -93433404? -93433404 Which is bigger: -2525 or 216623? 216623 Which is bigger: 1 or 690/2231519? 1 Do 1132403 and 1132261 have different values? True Are 510943651 and 510943651 equal? True Which is greater: 23195 or 389? 23195 Which is bigger: -16090939 or -16090932? -16090932 Is 9778 < 27539? True Which is greater: 0 or 61/1248577? 61/1248577 Which is greater: 44 or 49975/1154? 44 Which is smaller: 2/3 or -36.818746? -36.818746 Is 5212820 at least 5212820? True Which is smaller: 6325045 or 6325053? 6325045 Is 597320 less than 18516910/31? False Which is smaller: -14.33669 or 0? -14.33669 Which is greater: 0.22702 or 3/487? 0.22702 Which is greater: -252397 or -252608? -252397 Is 23763701/5 != 4752739? True Is -343555 at least -7558211/22? True Which is smaller: -150130/17393 or -10? -10 Is -1085 at least as big as -5770? True Is -125585 != -125977? True Which is greater: 87 or -51457? 87 Which is bigger: 1566659/6 or 261111? 261111 Which is smaller: 1 or -2/112926833? -2/112926833 Which is smaller: 3.8587 or 147? 3.8587 Which is bigger: 511978219 or 511978220? 511978220 Which is smaller: 2431340/3189 or 761? 761 Which is greater: 2 or 16841/5047? 16841/5047 Which is smaller: 922/2068373 or 0? 0 Which is bigger: 2/100983891 or -1? 2/100983891 Which is smaller: -712 or -3.026? -712 Is -67 smaller than -21077/314? False Which is bigger: -5/329932124 or -1? -5/329932124 Which is smaller: 237355174 or 237355169? 237355169 Which is greater: -9819831 or -9819830? -9819830 Do -17/382 and 1547 have the same value? False Is 13448016/13 at most as big as 1034462? False Is 848775 < 848765? False Which is bigger: -9793.43901 or -1? -1 Is 2026280/561 != 3611? True Is -1587214 > -0.23? False Which is greater: 0 or 4/121723135? 4/121723135 Is 52473 <= 1/338? False Are 0 and 84/14419079 unequal? True Is 5205 greater than 66274? False Is 0.051 > 26.954? False Is -14075 at least -0.16? False Which is greater: -85691098 or -85691091? -85691091 Is 0.07 at least as big as -5862198? True Which is smaller: -74787 or -74734? -74787 Is 28545 greater than -3.3? True Which is smaller: 14169530/23 or 616066? 616066 Is -2769 bigger than -254805/92? True Are 1 and -636/16837 nonequal? True Is -687364 less than -687346? True Is 1 != -6/6226303? True Which is smaller: -2240362/63 or -35561? -2240362/63 Which is bigger: 0.1 or -1476362/239? 0.1 Which is greater: 1 or 871/4876? 1 Which is greater: -1/15529676 or 0? 0 Is -197372252 less than or equal to -197372252? True Which is bigger: -1 or -2/82849275? -2/82849275 Which is smaller: 25149 or 125746/5? 25149 Is -543/1358582 equal to 1? False Which is smaller: -418085/81 or -5162? -5162 Which is smaller: 0 or 7231672? 0 Which is bigger: 1/531731016 or -1? 1/531731016 Which is smaller: 1369870 or 1369809? 1369809 Do 1.26 and -464451 have the same value? False Is 6055 at most 1317? False Are 1/744 and 26.1 nonequal? True Is 714917999 greater than 714917998? True Is -36622235 at least -36622235? True Which is smaller: -31216393/5 or -6243280? -6243280 Are 1349101 and 1349096 equal? False Which is smaller: -1775 or -5.8103? -1775 Is -1 smaller than -228211734? False Which is smaller: 1 or 1/12664844? 1/12664844 Is 10408/4085 at least as big as 3? False Which is smaller: -17550186 or -2? -17550186 Is 8169783 not equal to -89? True Is 6140214 < 6140219? True Which is smaller: -45608 or -36243? -45608 Is 1 <= -2/3941435? False Which is smaller: 1 or 3573/17435? 3573/17435 Which is greater: -293915000 or -293914999? -293914999 Is 5795 at most 1589? False Which is bigger: 0.1 or -477041300? 0.1 Is -11907 smaller than 23381? True Which is greater: -0.3 or 2548658? 2548658 Is -247037/607 at most -406? True Which is smaller: 15/94 or 2.38172? 15/94 Is -144358 less than -143676? True Which is smaller: 329545/1034 or 318? 318 Which is smaller: -178888 or -178878? -178888 Which is smaller: -1582258/23 or 8? -1582258/23 Which is greater: 708203 or 708236? 708236 Is 97106 equal to -0.013? False Which is smaller: -34401 or 0.0083? -34401 Do -4/8916187 and 2/5 have the same value? False Are -117180402 and -117180400 unequal? True Do 3921414 and 3921415 have different values? True Is -0.292 >= -4839? True Is
{ "pile_set_name": "DM Mathematics" }
i) = 0 + i - i**2 + 3 + 0 - 3*i. Calculate d*o(b) + 3*p(b). b**2 + 2*b Let j(m) = -6*m - 1. Let z(y) = -17*y - 1 + 2 - 4. Calculate -11*j(v) + 4*z(v). -2*v - 1 Let m(x) = -x. Let s(b) = -b + 2843*b**2 - 2841*b**2 - 3 + 2. Suppose -12 = 2*d - 5*d. Suppose 5*c - d*c = -1. Give c*s(h) + 3*m(h). -2*h**2 - 2*h + 1 Let d(s) = -11*s**2 + 6. Let n(c) be the first derivative of -2*c**3/3 + c + 42. Calculate 6*d(r) - 34*n(r). 2*r**2 + 2 Let c(d) = -d**3 + 6*d**2 + 115*d - 4. Let o(n) = -n**3 + 3*n**2 - n - 2. Determine -c(h) + 2*o(h). -h**3 - 117*h Let y(b) = 47*b**3 + 6*b**2 - 6*b + 6. Let w(u) = 1599*u**3 + 205*u**2 - 205*u + 205. What is -6*w(g) + 205*y(g)? 41*g**3 Let j(f) = -3327*f - 10. Let i(d) = -4991*d - 14. Determine -5*i(x) + 7*j(x). 1666*x Let w(p) = -p**3 + p**2 + 1. Let g be 22/8 + (-1)/(-4). Suppose -g*y + 24 = 4*q - 2, 0 = 3*q - y - 13. Let d(b) = 7*b**3 - 8*b**2 - 3. Determine q*w(s) + d(s). 2*s**3 - 3*s**2 + 2 Suppose 4*v - 10 - 2 = 0. Let y(d) = -32 + 45*d**2 - 66*d**2 + 34*d**2 + 31*d**2. Let x(n) = 4*n**2 - 3. Give v*y(r) - 32*x(r). 4*r**2 Let d(l) = 51*l**2 - 5*l + 5. Let g(u) = -101*u**2 + 11*u - 11. What is 13*d(k) + 6*g(k)? 57*k**2 + k - 1 Let u(d) = d - d + d + 0. Let v(q) = -4*q. Let n = 1199 + -1198. Calculate n*u(y) + v(y). -3*y Let l(d) = -6*d**3 - 8*d**2 - 3*d + 6. Let h(q) = 7*q**3 + 8*q**2 + 2*q - 5. Let b(u) = -3*h(u) - 2*l(u). Let a(s) = 5*s**3 + 4*s**2 - 2. Give -7*a(f) - 4*b(f). f**3 + 4*f**2 + 2 Let a(b) = -b - 4. Let u(q) = 3*q + 101. Give -6*a(t) - u(t). 3*t - 77 Let b(h) = 15*h + 25. Let a(f) = 4*f + 8. Let y(q) = -10*a(q) + 3*b(q). Let x(t) = 1. Calculate 3*x(m) + y(m). 5*m - 2 Let h(w) = -22*w**3 - 16*w + 26. Let j = -742 + 747. Let b(a) = -7*a**3 - 5*a + 9. Give j*h(u) - 16*b(u). 2*u**3 - 14 Let v(l) = -55*l**2 + 2. Let i(j) = 2584*j**2 - 95. Calculate -6*i(z) - 285*v(z). 171*z**2 Let s be 23 + (-8)/(-3)*21/28. Suppose -4*y - s = -5. Let t(u) = 5*u**3 + 5*u**2 - 5*u - 5. Let m(j) = 3*j**3 + 2*j**2 - 2*j - 2. Calculate y*m(c) + 2*t(c). -5*c**3 Let f(l) = 6*l + 13. Let d(s) = -24*s - 59. Determine 2*d(u) + 9*f(u). 6*u - 1 Let f(q) = 5*q + 2. Suppose 18*r - 17 = 20*r + 5*y, -2*r + 33 = -5*y. Let j(m) = -6*m - 3. What is r*f(t) + 3*j(t)? 2*t - 1 Let y(j) = 8*j + 2. Let d(v) = -4*v - 1. Let a be 58/(-58) - -1*(-8)/(-2). Calculate a*y(s) + 5*d(s). 4*s + 1 Let o(b) = -19*b**2 + 9*b + 6. Let j(s) = -13*s**2 + 6*s + 4. Determine 7*j(u) - 5*o(u). 4*u**2 - 3*u - 2 Let u(x) = 20 - 13 + 7*x + 7*x**2 - 14 - 8*x**3. Let l(a) = 3*a**3 - 2*a**2 - 2*a + 2. Determine -7*l(z) - 2*u(z). -5*z**3 Let f(g) = 7*g**3 - 4*g - 4. Let t(j) = 29*j + 23*j + 15*j + 1 - 66*j. Calculate f(h) + 4*t(h). 7*h**3 Let r(u) = -6*u + 14 + 2*u + 2*u. Suppose -4*t + 40 = 3*j, -2*t - 43 = 4*j - 83. Let l(p) = -p + 9. What is j*l(c) - 5*r(c)? 2*c + 2 Let c(w) = 4*w + 5. Let n(j) = 3 + 253*j - 256*j - 4 - 3. Calculate 5*c(a) + 6*n(a). 2*a + 1 Let c(g) = g**2 + g. Let l(a) = -12*a**2 - 15*a. Suppose 3*d + 108 = -3*q + 6*q, 5*d = 4*q - 184. Let o = 41 + d. What is o*l(s) + 15*c(s)? 3*s**2 Let p(l) = -l**3 + 4*l**2 - 6*l + 7. Let r be p(2). Let n(f) = 7*f + 2. Let o(w) = 7*w + 2. Give r*o(i) - 4*n(i). -7*i - 2 Let p(j) = -3*j. Let r(i) be the second derivative of -i**5/60 - 4*i**3/3 - 23*i. Let c(m) be the second derivative of r(m). Give 10*c(u) - 6*p(u). -2*u Let i(p) = -377*p**3 + 6*p - 12. Let y(a) = 376*a**3 - 7*a + 14. Give 7*i(f) + 6*y(f). -383*f**3 Let j(f) = 6*f**2 - f - 4. Let d(q) be the third derivative of -3*q**5/10 + q**4/12 + 11*q**3/6 - 105*q**2. Give 3*d(s) + 8*j(s). -6*s**2 - 2*s + 1 Let o(r) = -35*r**3 + 4*r**2 - 17*r - 4. Let h(u) = 36*u**3 - 5*u**2 + 20*u + 5. Give 4*h(x) + 5*o(x). -31*x**3 - 5*x Let x(j) = -j - 1. Let t(u) = u**3 - 28*u**2 + 48*u + 98. Let i be t(26). Let n(l) = l. Determine i*n(m) - 3*x(m). -3*m + 3 Let t(s) = -10*s**3 - 712*s**2 + 6*s + 6. Let v(w) = -2*w**3 - 2*w**2 + w + 1. What is -t(d) + 6*v(d)? -2*d**3 + 700*d**2 Let z(t) = 15*t + 18. Let m be z(-3). Let f = 35 + -13. Let x = m + f. Let h(i) = 9*i - 1. Let c(r) = -8*r + 1. Calculate x*h(w) - 6*c(w). 3*w - 1 Let t(v) = -v**2 - 18*v - 29. Let n be t(-16). Let r(a) = 6*a - n*a + a. Let o(q) = 21*q. What is -2*o(k) + 11*r(k)? 2*k Let k(w) = -2145*w**3 - 221*w**2 - 221*w - 221. Let g(q) = 58*q**3 + 6*q**2 + 6*q + 6. Determine -221*g(o) - 6*k(o). 52*o**3 Let t(b) = -b + 2. Let p(s) = s**2 + 2*s. Let x(m) = -p(m) - 2*t(m). Let q be (1/3)/(4/(-48)). Let c(k) = k**2 + 5. What is q*c(a) - 5*x(a)? a**2 Let q(u) = 19*u**2 - 5. Let s(y) = -3*y - 5. Let t(a) = 3*a**2 - 5*a - 9. Let o(n) = -5*s(n) + 3*t(n). Calculate -5*o(v) + 2*q(v). -7*v**2 Let v(n) = -n**3 + 199*n**2 + 3*n - 6. Let r(z) = -2*z**3 + 399*z**2 + 5*z - 10. Give -3*r(x) + 5*v(x). x**3 - 202*x**2 Let r(p) = -221*p**3 + 5*p**2 - 8*p - 11. Let m(j) = -73*j**3 + 2*j**2 - 3*j - 4. Give 11*m(x) - 4*r(x). 81*x**3 + 2*x**2 - x Let b(i) = -i**2 + 6*i + 2. Let u(d) = -d**2 + 5*d + 3. Calculate 3*b(m) - 4*u(m). m**2 - 2*m - 6 Let q(j) = -34*j + 21. Let r(g) = -6*g + 1. Calculate q(d) - 4*r(d). -10*d + 17 Let q(l) be the first derivative of l**2 - 30*l + 46. Let i be q(12). Let r(b) = b**2. Let a(n) = 2*n**2. What is i*r(t) + 5*a(t)? 4*t**2 Let m be 1/(((-12)/10)/(-6)). Let a(v) = 9*v - 4*v + 0*v**2 + 5 + 7*v**2. Let c(x) = -4*x**2 - 3*x - 3. Determine m*c(b) + 3*a(b). b**2 Let k(s) = -279*s + 18. Let b(y) = -140*y + 10. What is 9*b(p) - 5*k(p)? 135*p Let x = -33 + 29. Let d(s) = -5*s + 2. Let f(k) = 5*k - 3. Let j(w) = -3*d(w) - 2*f(w). Let h(m) = -6*m. Give x*h(l) - 5*j(l). -l Let p(g) be the second derivative of -5*g**4/6 - 5*g**3/6 - 5*g**2/2 - 30*g + 4. Let j(y) = 5*y**2 + 2*y + 2. Calculate -5*j(m) - 2*p(m). -5*m**2 Let t(i) = -i - 14. Let u(z) = -6*z - 46. Determine 20*t(j) - 4*u(j). 4*j - 96 Let g(n) = n - 5. Let c(a) = -3. Let f be 12/9 - ((-66)/(-9) - 1). Give f*c(o) + 2*g(o). 2*o + 5 Let u(n) = -1 + 1 - 5*n + 7*n**2. Let s = 22 - 20. Suppose 0*r - 2*i = -s*r - 4, 0 = -4*i - 4. Let c(b) = -4*b**2 + 3*b. Calculate r*u(k) - 5*c(k). -k**2 Suppose -3*j = -v - 7, -j = 4*v + 4*j - 23. Let l(y) = -y + 3. Suppose 54 + 240 = -42*d. Let p(a) = a**2 - 3*a + 10. What is d*l(b) + v*p(b)? 2*b**2 + b - 1 Let v(f) = 2*f + 15. Let j(n) = -14*n - 10. Suppose d + 0 = 2*w - 2, 0 = -3*w + 9. Let b(o) = 5*o + 3. Let x(y) = d*j(y) + 11*b(y). What is 3*v(l) + 7*x(l)? -l - 4 Let h(d) = 66*d - 9. Let x(k) = -65*k + 7. Determine 4*h(z) + 5*x(z). -61*z - 1 Let b(m) = -7*m - 1. Let h(c) = 6*c + 46. Let z(i) = -9. Let l(o) = h(o) + 5*z(o). Determine -4*b(y) - 5*l(y). -2*y - 1 Let m(y) = -9*y + 5. Let w be (5/(-3))/(3/9). Let z(j) = -3*j + 4. Let p(q) = -4*q + 6. Let i(s) = 5*p(s) - 8*z(s). Calculate w*i(v) - 2*m(v). -2*v Let n(z) be the second derivative of 3*z**4/2 - 5*z**3/2 - 6*z. Let g(j) = j**2 - j. Determine 45*g(v) - 3*n(v). -9*v**2 Let h(b) = 2*b**2 - 1. Let f(x) be the second derivative of -12*x + 5/6*x**4 + 0 + 1/6*x**3 - 3*x**2. Calculate -2*f(s) + 11*h(s). 2*s**2 - 2*s + 1 Let v(n) be the second derivative of 3*n**3/2 + 3*n**2 - 2*n. Let u(s) = -s - 1. Suppose -5*i = -8*i + 18. What is i*u(k) + v(k)? 3*k Let d(u) = 9*u + 36. Let v be (11/(-22))/((-2)/(-144)). Let p(g) = 1. Calculate v*p(m) + d(m). 9*m Let r(z) = 13*z**2 + 4*z + 6. Let l(f) = -37*f**2 - 11*f - 18. Calculate -4*l(t) - 11*r(t). 5*t**2 + 6 Let l(i) = -14*i - 482. Let n(k) = -4*k - 160. Calculate 3*l(a) - 10*n(a). -2*a + 154 Let g(a) = -5*a**2 - 7*a - 16. Let i(z) = 2*z**2 + 3. Calculate g(o) + 5*i(o). 5*o**2 - 7*o - 1 Suppose 6*a - a = 5. Let o = 3 - a. Let i(q) = -4*q**2 + 7*q - 7. Let v(f) = f + f - 2 - 3*f**2 + 2*f**2. What is o*i(c) - 7*v(c)? -c**2 Let l(q) = -q**2 + 8*q + 1. Let s(n) = -3*n**2 + 23*n + 3. Suppose 25 = 2*r + f - 8, -3*r = -f - 52. What is r*l(a) - 6*s(a)? a**2 - 2*a - 1 Let k(h) = 56*h + 42. Let i(n) = 3*n + 32. Let x be i(-11). Let p(w) = w + 1. Determine x*k(f) + 42*p(f). -14*f Let q(g) = 5*g**3 - 3*g**2 - 4*g - 4. Let n = 19 - 29. Let r(j) = 2*j + 13. Let a be r(n). Let k(d) = 9*d**3 - 5*d**2 - 7*d - 7. Calculate a*q(u) + 4*k(u). u**3 + u**2 Let r(o) = o**3 - 9*o**2 - 9*o - 7. Suppose -92*s + 83*s - 81 = 0. Let i(l) = l**3 - 4*l**2 - 4*l - 3. Determine s*i(f) + 4*r(f). -5*f**3 - 1 Let h(q) = q**2 - 1. Let a(u) = 11638 + 4*u**2 - 12*u**2 - 1163
{ "pile_set_name": "DM Mathematics" }
3*o(d) + 4*y(d). -2*d**3 - 11*d**2 - 3*d Let h(j) be the second derivative of 7*j**3/6 - 5*j**2/2 + 492*j + 1. Suppose -4*l = -l + 12. Let o(d) = 6*d - 4. Calculate l*o(w) + 3*h(w). -3*w + 1 Let t(z) = -2044*z + 4. Let g(a) = 3063*a - 7. Give -5*g(q) - 8*t(q). 1037*q + 3 Let n(o) = 1355*o + 353. Let a(u) = 1356*u + 441. What is -4*a(z) + 5*n(z)? 1351*z + 1 Let j(m) = m**3 - m + 1. Let b(q) = 2*q**2 + 11*q - 20. Let h = 10 + -32. Let a = 15 + h. Let l be b(a). Let c(w) = w**2 + w + 1. Give l*c(s) + j(s). s**3 + s**2 + 2 Let h(v) = 28305*v + 111. Let x(d) = -1287*d - 5. What is -5*h(c) - 111*x(c)? 1332*c Let f(d) = -3*d**2 - 7*d + 3. Let v(k) be the third derivative of -k**5/12 - 13*k**4/24 + k**3 - 5*k**2 - 5. Calculate 7*f(c) - 4*v(c). -c**2 + 3*c - 3 Let h(o) = 66*o + 1453. Let q be h(-22). Let g(b) = -b. Let d = -8 + 10. Let r(s) = -d*s + 5*s - 2*s. What is q*g(i) - 4*r(i)? -5*i Suppose 593*h = 578*h - 40 - 50. Let g(f) = -7*f**2 - f - 7. Let y(s) = 6*s**2 + 6. Give h*y(q) - 5*g(q). -q**2 + 5*q - 1 Let y(z) = -1164*z - 824. Let p(b) = -51*b - 36. Calculate 136*p(n) - 6*y(n). 48*n + 48 Let r(c) = -27*c**3 + 5*c**2 - 5. Let q(s) = 54*s**3 - 9*s**2 + 9. Suppose -u - 4*f - 209 + 214 = 0, 33 = 4*u + 3*f. Calculate u*r(k) + 5*q(k). 27*k**3 Let b be ((-72)/(-15))/4*(-7 - -2). Let p(q) = 19*q**2 + 6*q - 2. Let m(s) = -39*s**2 - 11*s + 4. Calculate b*m(c) - 11*p(c). 25*c**2 - 2 Suppose 0 = 7*g - 18 - 2 - 8. Let j(n) = -5. Let b(w) = 9. Let a(z) = -6*b(z) - 11*j(z). Let l(f) = -7*f - 4. Give g*a(v) + l(v). -7*v Let h = -7070 + 7064. Let a(q) = 3*q**2 + 16*q + 6. Let i(s) = -2*s**2 - 15*s - 5. What is h*i(g) - 5*a(g)? -3*g**2 + 10*g Let o(g) = 8*g - 2. Let y(l) = 103*l - 6. What is -4*o(h) + y(h)? 71*h + 2 Let o(j) = -17*j - 11. Let r(s) = 95*s + 57. Let h(y) = 11*o(y) + 2*r(y). Let u(x) = 6*x - 14. Give 7*h(p) - 3*u(p). 3*p - 7 Suppose -129 - 83 = -53*c. Let p(x) = -3*x**2 - 3. Let v(l) = -l**2 + 1. What is c*p(t) + 12*v(t)? -24*t**2 Let m(v) = v**2 + 22*v - 1. Let p be m(0). Suppose 5*u = 3*b + b + 31, -3*b = 4*u. Let s(q) = 9*q + 0 + 1 - 13*q + u*q. Let t(z) = 2*z - 1. Give p*s(r) + t(r). 3*r - 2 Let y(p) = -6*p**2 + 4*p - 4. Let t(b) = b**2 - b + 1. Let c(h) = 13*h**2 + 79*h + 11. Let l be c(-6). What is l*t(v) + y(v)? -v**2 - v + 1 Let q(r) = 44*r + 41. Let z(m) = 86*m + 84. What is -13*q(u) + 6*z(u)? -56*u - 29 Let s(v) = -2*v**2 - 2*v - 1. Let m(r) = -7*r**2 + 6*r + 10. Let l(g) = 5*g**2 - 4*g - 7. Let n(h) = -3*l(h) - 2*m(h). Calculate -n(z) + s(z). -z**2 - 2*z - 2 Let s(o) be the third derivative of 7*o**5/12 + o**4/12 + o**3/3 - 8*o**2 - 153*o. Let m(j) = -420*j**2 - 25*j - 25. Calculate -2*m(z) - 25*s(z). -35*z**2 Let q(u) = 5*u**3 + 6*u**2 + 8*u - 22. Let p(z) = 0 + 22 + 42041*z - 5*z**2 - 5*z**3 + z**3 - 42048*z. Determine -6*p(j) - 5*q(j). -j**3 + 2*j - 22 Let t(m) = -2*m - 376*m**3 - 2102 + 372*m**3 + 2104. Let g(s) = -s**3 - s. Calculate -2*g(d) + t(d). -2*d**3 + 2 Suppose 0 = -47*c + 32*c + 240. Let p(o) = -3*o. Let h(w) = 10*w. Give c*p(i) + 5*h(i). 2*i Let o = 18974 + -18982. Let r(h) be the second derivative of -2*h**2 - 1/3*h**3 + 0 + h. Let v(x) = 6*x + 11. What is o*r(b) - 3*v(b)? -2*b - 1 Let u = -12835 + 12830. Let w(d) = 26*d + 10. Let o(s) = -17*s - 7. Calculate u*w(v) - 7*o(v). -11*v - 1 Let u(b) = 3. Let h(v) = 6*v + 10*v - 6 - 7*v - 5*v. Let p(j) = -5*j + 6. Let n(l) = -6*h(l) - 5*p(l). Give -2*n(c) + 5*u(c). -2*c + 3 Let y(j) = -43*j**3 - 28*j**2 + 5*j - 22. Let z(o) = -26*o**3 - 13*o**2 + 3*o - 10. Determine -3*y(p) + 5*z(p). -p**3 + 19*p**2 + 16 Let i be 4/(-6) - 8/6. Let p(w) = -9*w. Let y(z) = -222*z - 55870. Let d(f) = 37*f + 9060. Let s(r) = -37*d(r) - 6*y(r). Give i*s(m) + 9*p(m). -7*m Suppose 3*j + 422 = 407. Let a(w) = w**2 + 3*w - 3. Let x(k) = k - 2. What is j*x(g) + 3*a(g)? 3*g**2 + 4*g + 1 Let b(c) be the first derivative of c**2 + 4*c**2 - c**2 - 3 + 1 + 6*c. Let f(y) = y + 1. Let d(a) = -5*a**2 - 7*a + 132. Let p be d(-6). Give p*f(n) + b(n). 2*n Let m(n) = -244*n**3 - 4734*n**2 - 92. Let y(b) = 66*b**3 + 1291*b**2 + 25. Calculate 10*m(a) + 37*y(a). 2*a**3 + 427*a**2 + 5 Let b(x) = x**3 + 7*x**2 + 6*x - 9. Let j(a) be the second derivative of -a**5/20 - a**4/3 - a**3/2 + 5*a**2/2 + a + 3688. Calculate 3*b(l) + 5*j(l). -2*l**3 + l**2 + 3*l - 2 Let n(s) = -s + 9. Let d(q) = q - 5. Let c be (-15)/(15/(-5))*480/25. Suppose -86*v + c*v - 50 = 0. Suppose 7 = 4*h - 5. Calculate h*n(l) + v*d(l). 2*l + 2 Suppose 43*i = 2*q + 40*i - 14, 2*i + 12 = 2*q. Let p(t) = -t**2. Let u(z) = 2*z**2 - 13. Calculate q*p(v) + u(v). -2*v**2 - 13 Let u(i) = 129*i**2 + 8*i + 14. Let b(k) = -129*k**2 - 11*k - 18. Determine -3*b(y) - 4*u(y). -129*y**2 + y - 2 Let b(g) = -27*g + 1536. Let y(z) = -23*z + 1. Calculate -b(l) + y(l). 4*l - 1535 Let j(z) = 55*z**2 + 9*z + 9. Let w(v) = v**2 + 7*v + 2. Let r(o) = -j(o) + 2*w(o). Let p(t) = -609*t**2 + 58*t - 58. What is -5*p(x) + 58*r(x)? -29*x**2 Let n(o) = -o**2 + o - 1. Let p(s) = -7*s**3 - 21*s**2 - 8*s - 1. Let q(d) = 11*d**3 + 31*d**2 + 13*d + 1. Let w(r) = 14*p(r) + 9*q(r). Give -5*n(m) + w(m). m**3 - 10*m**2 Let n(i) = -5*i**2 - 2*i - 2. Let o(p) = -526*p**2 - 12*p - 8. Calculate 4*n(t) - o(t). 506*t**2 + 4*t Suppose -4*u = -r - 16, 88*u + 5*r + 17 = 87*u. Let w(m) = m**2 + m + 1. Let o(z) = 2 + 3*z + 0 - 2*z + z. Determine u*w(b) - o(b). 3*b**2 + b + 1 Let x(r) = 6 - 12 + 3*r - 2 + 18. Let h be 2*-2 + 28 + -30. Let u(d) = -5*d - 19. Calculate h*u(g) - 11*x(g). -3*g + 4 Suppose 2*a + 3*a = 30. Let z(m) = m - 3. Let w(s) be the first derivative of 1/2*s**2 - 101 - 3*s. What is a*w(o) - 5*z(o)? o - 3 Let m(q) = 2*q**3 - 4. Let r(c) = 36*c**3 + 21. What is -5*m(o) - r(o)? -46*o**3 - 1 Let d(l) = -14*l - 4843. Let i(f) = -4*f - 1616. Determine -3*d(p) + 10*i(p). 2*p - 1631 Let g(b) be the first derivative of b - 4660. Let t(r) = r + 1. What is 18*g(a) + 2*t(a)? 2*a + 20 Let n(w) = 86*w**3 - 85*w**2 - 5*w - 83. Let g(m) = 43*m**3 - 34*m**2 - 2*m - 41. What is -5*g(c) + 2*n(c)? -43*c**3 + 39 Let o be (9 + -10)*(-4)/(-4). Let c(l) = -2*l - 2*l**3 + 23*l**2 - 4 + 3*l**3 + 12*l - 3*l**3 - 13*l**2. Let f(p) = -p**2 - p + 1. Calculate o*c(m) - 10*f(m). 2*m**3 - 6 Let k(c) = -c**2 - c + 1. Suppose 245 = 3*d - 5*n, 5*n - 86 - 349 = -5*d. Let r be 85/d*(1 + 0). Let m(f) = -f**2 - 6*f + 7. Give r*m(h) - 6*k(h). 5*h**2 + 1 Let l(t) = -6*t**2 - 4. Suppose 57 = -1124*q + 1181*q. Let o(y) = -y**2 + 1. Calculate q*l(w) - 5*o(w). -w**2 - 9 Let k = -513 - -430. Let s = 79 + k. Let t(i) = 5*i**2 - 10*i. Let u(a) = 4*a**2 - 9*a. Determine s*u(z) + 3*t(z). -z**2 + 6*z Let f(q) = -23*q - 8. Let d(a) = 11*a + 4. Let w(z) = -9*d(z) - 4*f(z). Let r(s) = 15*s + 9. Let y = -654 + 660. What is y*r(h) + 13*w(h)? -h + 2 Suppose -6*y + 5*y - 12 = 2*o, -o = -5*y - 5. Let z(k) = k**2 + k + 1. Let j(f) = -3*f**2 - 2*f - 7. What is y*z(a) - j(a)? a**2 + 5 Let l(t) = 91*t**2 + 7*t - 3. Let r(i) = 363*i**2 + 32*i - 11. Determine 9*l(y) - 2*r(y). 93*y**2 - y - 5 Let z(t) = 2*t - 2. Let q be 13*(-100)/325*3/(-4). Let y(p) = -2*p. Let w(o) = -o + 1. Let f(r) = 3*w(r) - y(r). Determine q*z(s) + 2*f(s). 4*s Let o(m) = -1378*m + 4. Let h(a) = 230136*a - 669. What is -4*h(r) - 669*o(r)? 1338*r Let b(p) = -66*p**2 + 18*p - 18. Let u(d) = -19*d**2 + 5*d - 5. Let h be 24*(-21)/(-140)*-5. Suppose 0 = 734*x - 727*x - 35. What is h*u(s) + x*b(s)? 12*s**2 Let d(q) = -3*q**2 + 57*q + 3. Let o(x) = 11*x - x**2 - 7*x + 3*x + 12*x + 16 - 15. Give -4*d(k) + 11*o(k). k**2 - 19*k - 1 Suppose -604*o + 246 = -598*o. Let t(q) = -177 + 180 + 41*q - o*q + 3*q**2. Let d(g) = 4*g**2 + 3. What is -5*d(m) + 6*t(m)? -2*m**2 + 3 Let k(y) = -7*y**2 - 2*y - 1. Let w(v) = 29*v**2 + 10*v + 456. Give 4*k(o) + w(o). o**2 + 2*o + 452 Let n(x) be the third derivative of 5*x**4/6 - 2*x**3 - 2697*x**2. Let l(v) = v - 1. Calculate -24*l(a) + 2*n(a). 16*a Let u(n) = -n. Let f = 214 + -203. Let b(z) = -2998 + f*z + z**2 + 2998. What is -6*b(j) - 66*u(j)? -6*j**2 Let s(i) = 572*i**3 + 14*i**2 - 43*i - 8. Let f(h) = -572*h**3 - 12*h**2 + 40*h + 7. Determine 8*f(w) + 7*s(w). -572*w**3 + 2*w**2 + 19*w Let c(z) = z**3 + 4*z**2 + 6. Let u(a) be the first derivative of 188 - 1/2*a**4 + 0*a**2 - 7*a - 5/3*a**3. Determine -5*c(i) - 4*u(i). 3*i**3 - 2 Let x(l) = -l**2 + 95
{ "pile_set_name": "DM Mathematics" }
ose 0 = 2*b + b + a - 19, -4*b + n = 5*a. What is the nearest to 2/5 in b, 0.2, 4? 0.2 Let j = 0.39 - 0.09. Let t = j - 0.15. Let d = -0.15 + t. What is the closest to -1/2 in -2/9, 4/5, d? -2/9 Let w = -15435 - -15437. Let z = -1 + 1.5. Suppose 6*u - 3*u = 4*i - 11, 2*u = 3*i - 7. Which is the nearest to i? (a) z (b) -0.4 (c) w b Let k = 3 + -2.5. Let o = 2.1 - -0.9. Let f = 0.0392 + -0.0392. Which is the nearest to o? (a) k (b) f (c) -4 a Let h = -0.3 + 0.4. Let c = -4.847 - 0.153. What is the nearest to h in c, 5, -4? -4 Let q(d) = d**3 - 10*d**2 + 8*d + 9. Let h be q(9). What is the nearest to 1 in 0.4, h, -3/4? 0.4 Let r = -0.2 + -0.2. Let g = -4.4 - -3.9. Which is the nearest to 1? (a) g (b) r (c) -2/23 c Let l = -81/4 + 41/2. Which is the closest to 0.1? (a) -2/9 (b) l (c) 1/3 b Let u = -10.9 + 11. Let a = 21/8 + -71/24. What is the nearest to 0.3 in u, a, 5? u Let l = -0.0247 - -3.1247. Which is the nearest to l? (a) -4 (b) 3 (c) 0.3 b Suppose 4*o = -3*r + 7*r - 36, o + 53 = 5*r. Let n = -15 + r. Let j = -83/3 + 27. Which is the closest to 1? (a) j (b) n (c) -6 a Let s be 2/(-7) - (-68)/(-56). Suppose -5*b = -4*z - 18 + 4, -2*b - z + 3 = 0. What is the closest to b in -1, s, -1/4? -1/4 Let s = -0.2 - -0.2. Let d = 25.1 - 25. Let n = d - s. What is the nearest to -0.3 in -3/4, n, 0.2? n Let a = 0 + -0.2. Let d = -31/110 - 7/22. Let y = 0.05 + -4.05. What is the closest to a in y, d, 2? d Suppose -k - 2*k = 9. Let r be (1/3)/(3/54). Let l = r - 56/9. What is the nearest to 2/3 in l, k, -0.1? -0.1 Let c = -43 - -31. Let n = c + 9. What is the nearest to 1 in n, -5, 0? 0 Suppose 5*h + 37 = -2*k, -h - k = -2 + 10. Let s(l) = 4*l + 29. Let u be s(h). What is the closest to 0 in -1/3, -1/2, u? -1/3 Suppose 3*c = 7*c + 5*m + 7, 0 = 4*c + m + 11. Let r be c/(-4) + 1/(-4). Let g = -128/333 + 6/37. What is the closest to r in -5, 5, g? g Let s be 0 + 0*((-6)/(-6) + 0). Which is the nearest to 0.1? (a) 2/33 (b) -0.5 (c) s a Let p = -97 - 16. Let t = 115 + p. Let l = 1 + -0.9. Which is the nearest to l? (a) t (b) -0.5 (c) 4 b Suppose -t + 9 - 8 = 0. Let y be t*2/(-2)*(-12)/42. Which is the nearest to y? (a) 0.1 (b) -0.2 (c) -2/13 a Let j = 140 - 138.78. Let u = 1.12 - j. What is the closest to 1/6 in -0.7, 4, u? u Let r = 106.6 - 64.3. Let x = -42 + r. Which is the closest to 3/8? (a) 0.2 (b) x (c) -0.4 b Let z = -812 + 808. What is the closest to -2 in z, 0.04, -5, -1/3? -1/3 Let i be (-9 - (-5 + -4))*(-2 + 1). Which is the nearest to i? (a) -16 (b) -7 (c) -4/7 c Let k be 6/4*(-4)/(-2). What is the closest to -2/7 in k, -4, 82? k Let j = 0.682 - -0.318. Which is the closest to j? (a) -0.3 (b) 5 (c) 4 a Let f = 2.4 - 0.4. Suppose -5*u + 6*u = 1. What is the closest to u in f, 3, -4? f Let s(n) = 5*n**2 + 20*n + 2. Let o be s(-4). Let t = 0.9 - 4.9. Which is the closest to t? (a) o (b) -5 (c) 4 b Let q be (-16)/12 + 2/(-12). Let j = -723 - -723.03. Which is the closest to -2? (a) j (b) q (c) -0.1 b Let a = -0.3 + 0. Let b = -15015 - -15015.1. What is the nearest to a in b, 0.2, -3? b Let d = 0 + 9. Let h = -9.1 + d. Let n = h + 1. What is the closest to 1 in -0.1, -3/7, n? n Let s = 9/4 + -11/4. Let z = 79/21 - 24/7. Let u be 3/(-14)*4/3. What is the nearest to s in -5, z, u? u Let m(y) = -6*y**2 - 50*y - 11. Let w be m(-8). Which is the closest to 1/3? (a) 0.5 (b) 1.3 (c) w (d) -0.3 a Let f = -12754/3 - -4250. Let k = -2 + 3. Which is the closest to -1? (a) f (b) 0.3 (c) k a Let y = -1193/4804 + -2/1201. Which is the closest to 0.1? (a) 5 (b) 0.2 (c) y (d) 19 b Let i(v) = -v**3 - 31*v**2 - 59*v - 26. Let f be i(-29). Let t = -5 + 3. Which is the closest to 2? (a) f (b) t (c) -1 a Let d = -1.128 - -0.128. What is the nearest to d in -0.4, 4, -10? -0.4 Let o = 7 + -14. Let q = -4 - o. Let s = 163/21 + -52/7. Which is the closest to s? (a) -2/9 (b) 1/7 (c) q b Let z be (16/10 - 0) + -1. Let q be 2/(-3) - (-41)/6. Let a = -17/3 + q. What is the nearest to -0.1 in a, -1/3, z? -1/3 Let q = -1739 + 1732. Which is the closest to q? (a) 0.3 (b) -0.3 (c) -1 c Let w = -0.29 - 0.01. Suppose 0 = 3*n - 27 + 192. Let t = -53 - n. What is the closest to 1 in -0.2, w, t? t Let k = -32/3 + 21/2. Suppose -3*t - 10*t = 2*t + 60. What is the closest to 1/9 in k, -2, t? k Let h = 28912 + -28772.21. Let g = 135 - h. Let w = 0.21 - g. What is the closest to -0.1 in w, 4, -2/5? -2/5 Suppose 2 = -2*x + 3*x. Which is the closest to 1/3? (a) -2/7 (b) 0.1 (c) x b Suppose 5*p + 260 = -5*i, p + 184 = -3*p + 2*i. Let w be 0/2 - (p/52)/(-6). Let l = 2 - 2.5. Which is the nearest to 1/2? (a) l (b) -4 (c) w c Let j = 20 - 20. Suppose -5*q - q - 48 = j. Let z be ((-1)/q)/(3/(-9)). Which is the closest to 1? (a) 3/2 (b) 0 (c) z a Let b = -355 + 391. What is the nearest to 1/2 in b, -2, 4? -2 Let i = 0 + 0.3. Suppose -k = -2*k + 2. Let f = 7.679 + -2.679. What is the closest to -1 in f, i, k? i Let v = -0.31546 - -0.41546. Let z be (1/6)/(4/(-102)). Which is the closest to v? (a) -3 (b) -0.3 (c) z b Let g(v) = 31*v + 59. Let r be g(-2). Let q = 5.1 - 0.1. What is the closest to 1/4 in 0, q, r? 0 Let k = -522.14 - -522. What is the nearest to 1 in 1/8, k, 1/2? 1/2 Let g = 2.8 - 3.9. Let w = g + 1.3. Let d be 4 - (-9)/((-9)/2). What is the closest to d in 0, w, -3/7? w Let h = 59.8 - 32.8. Which is the nearest to -1? (a) -1 (b) 2/15 (c) h a Let q = -329.6 + 365. Let n = 35 - q. Which is the nearest to -2/3? (a) -0.3 (b) -2 (c) n c Let q = 0.0323 + 0.1677. Let m be ((-3)/2 + 0)*-2. What is the closest to q in -0.1, 5, m? -0.1 Let c = 8 + -4. Let n = 0.09 + -2.04. Let z = n + -0.05. What is the nearest to 2/3 in -1, z, c? -1 Let s = 9.1 - 8. Let g = 4.2 + -3. Let h = g - s. What is the closest to h in 2, -2, -1? -1 Let i = -7/50 + 113/450. Which is the nearest to -8? (a) i (b) -4 (c) 1 b Let x(y) = y + 15. Let u be x(-11). Suppose -4*d = 4*f + u, -f = -d - 2 - 1. Let o = -22.1 - -22. Which is the closest to 0.1? (a) d (b) 5 (c) o c Let s = 14.9 + -15. Let d = -10.2 - -10. Let r = -0.6 - d. What is the nearest to s in 4, 0, r? 0 Let o be (21 + -9)/((-140)/58). Let y = o + 27/5. What is the closest to 1/2 in y, -18, -5? y Let s = 0.912 + -0.612. Let l = 2 - 1.6. Let g = l + -0.8. Which is the nearest to -3? (a) -3/2 (b) s (c) g a Let v = -2/215 + -203/1290. Let d = 26391 + -26391. What is the closest to 1 in v, 2/3, d? 2/3 Let g be (-12)/10*170/(-68). Which is the nearest to -0.1? (a) 3/8 (b) 2/51 (c) g (d) -0.4 b Suppose 3*z - 9 = -d - 0*d, -15 = 5*d - 5*z. Let x = 34 - 30. What is the closest to d in x, -3/7, 0? 0 Suppose -3*o + 84 = 3*q, -4*q + 62 = -2*q - o. Let f be ((-5)/(q/(-9)))/(5 + -8). Let l = 4 - 3. What is the nearest to f in 0.2, l, -0.3? -0.3 Let r = -22.05 - -22.1. What is the nearest to 1 in 3/4, -4, r? 3/4 Let i = 7820713/696680 - 12/17417. Let b = 58/5 - i. Let n = 4 + -7. What is the closest to -0.1 in b, n, 0.2? 0.2 Let k = -1133 - -1137. Which is the closest to -0.1? (a) -3/5 (b) k (c) -23 a Suppose -22 = -5*w - 7. Let l be 35/(-7) + 1 + 1. Let m be (l/1)/(1 - -7). Which is the closest to 2? (a) w (b) m (c) 0.1 a Let z = -13.89 - -13.49. Which is the nearest to -0.1? (a) 2/21 (b) z (c) 0.1 (d) 0.3 a Let t = 0.69 + 33.31. Let s = t - 21. Let o = s + -12.7. Which is the closest to -0.1? (a) -3 (b) o (c) -7 b Let u = 0 - 0.3. Let g(s) = -s**2 - 25*s - 112. Let n be g(-6). Let t = -0.3 + -0.7. What is the nearest to t in 1/5, n, u? u Let v be 4/(19 + -3) + 0/(-6). What is the closest to 4/5 in v, 0.5, -0.1? 0.5 Let o be -1*1 - 68/(-136). Which is the nearest to o? (a) 0.06 (b) 0.3 (c) 2 a Let j = 864/2155 + -2/2155. What is the closest to 1 in -2/15, -1/8, 5/4, j? 5/4 Let o be 1 - (-2 - 0)/1. Let x(j) = -j**2 - 4*j + 6. Let n be x(-5). Let m be (4/(-108)*-3)/(4/(-12)). Which is the nearest to n? (a) m (b) 0.5 (c) o b Let l = 132.298 + -0.298. Let w = 135 - l. Which is the nearest to -1? (a) w (b) -0.11 (c) 0.2 b Let w = -205.2 - -205. Which is the nearest to w? (a) 2 (b) 0 (c) -3/4 b Suppose 10 + 20 = 15*l. What is the nearest to 2 in -0.6, 0.2, l, -3? l Let n = -144 + 140. Which is the closest to -4? (a) -1/6 (b) n (c) 1 (d) -6 b Let q(a) = -a + 4.
{ "pile_set_name": "DM Mathematics" }
the biggest value in -1/5, o, -4? o Let t = 425.6 - 425.4. Let v = -0.02 - -0.12. What is the biggest value in t, 3/5, -2/17, v? 3/5 Let h = -360.94 + 321.84. Which is the third smallest value? (a) h (b) -2/13 (c) -0.5 (d) 0 b Let v = 34.3 + -40. Let x = v + 1.7. Which is the second biggest value? (a) 7/3 (b) -3 (c) 2 (d) x c Let k = 1986 + -5956/3. What is the biggest value in 0.87, k, -0.02? 0.87 Let q = -241.8 - -236.5. Which is the biggest value? (a) 1 (b) q (c) -5 a Let j be 36/(-15)*585/(-26). Let u be j/405*5/(-8). What is the second smallest value in u, -5, 200? u Let u = -6752 + 6807. What is the smallest value in 3, u, 12? 3 Suppose -3*v + 96 = -2*b - 43, -4*b = v - 23. Let m = v - 31. Suppose -13*z - m = -17*z. What is the third smallest value in 2, z, -2? z Let y = -1130 - -1079. What is the third smallest value in 5, y, 0.2? 5 Let g = -3 + -1. Let i = 237.3 - 227. Let o = i - 10.8. What is the second biggest value in o, g, 1/14? o Suppose 2*d - 4*m + 5*m = 555683, -277840 = -d + m. Let w = -3058405/11 + d. Let j = 196 + w. Which is the second biggest value? (a) -3/5 (b) j (c) 3 b Let l = -2515 - -3092.5. Let i = l - 577. Which is the third biggest value? (a) -4 (b) i (c) 12/7 a Let c be (-1580)/237*9/(-5). Let l be 40/c + 1*4/(-12). What is the third biggest value in -0.1, l, -6, 6? -0.1 Let t = 0.21 + -0.01. Let x be (25 + -23)*(-2)/(-8). Which is the biggest value? (a) t (b) 0 (c) x c Let g = 2.0018 - 2.0018. Let x(t) = 35*t**2 + t. Let n be x(-1). Which is the second smallest value? (a) g (b) n (c) 1 (d) -4 a Let k = -2006 - -2006.3. Which is the smallest value? (a) -3/16 (b) k (c) 1/3 a Let z = 9.19 - 0.19. Let t = -449 + 440. Let u = t - z. Which is the third biggest value? (a) u (b) -4 (c) 1/12 a Let n = -39 + 42. Let l be -3 + 2 - (-13 - -8). What is the fourth biggest value in -4, 0.3, n, l? -4 Let z = -5271 - -5274. Let c = 117 + -815/7. What is the second smallest value in c, z, 0.1? c Let o(b) = 2*b - 4. Let x be o(3). Let k = -313 + 312.7. Let a be ((14/8)/7)/((-14)/(-24)). What is the third biggest value in x, a, k, 0.03? 0.03 Let r be 108/45*30/4. Suppose 0 = -r*z + 7*z - 22. Which is the second smallest value? (a) -0.8 (b) z (c) -5 b Let x = -14.01 + 14. Let g = 528.49 - 528. Let o = g - x. Which is the third smallest value? (a) o (b) 7 (c) 0 (d) -3 a Let u be (-3)/(-277)*18/(-27). Let y = u + -544/1385. Let p = 25 + -17. Which is the third smallest value? (a) -5 (b) y (c) p (d) 4 d Let u = 3.593 - -30.407. What is the third smallest value in -0.04, -0.18, u? u Let p be 9 - (-1*(7 - 18))/(-1). Suppose 4*s = -4*r - 8, 0*r = r + 5*s + 2. Which is the second smallest value? (a) r (b) 5 (c) p b Let v = -1 + -2. Let w = v + 6. Suppose 15*o - 32*o - 34 = 0. Which is the second smallest value? (a) w (b) o (c) 5 a Let r = 3 - 3.2. Let g = 10672.9 - 10672.4. What is the fourth smallest value in -5, r, g, 0? g Let d = -742 + 749.18. Let o = 6.28 - d. What is the third smallest value in o, -1/13, 1/3? 1/3 Let g be (38/1 + 4 + -3)/(76/(-152)). What is the second smallest value in 1/3, 0.12, g? 0.12 Let a = 529 + -533. What is the second biggest value in a, -1906, -2? a Let s = 8788 + -6248269/711. What is the third biggest value in s, -4, 2, 3? s Let y = 10170.5 + -10170. What is the second smallest value in y, -2/5, -0.3, 257, -1/2? -2/5 Let r = -0.2192 + -0.2808. What is the biggest value in -3, r, 7/3? 7/3 Let o = 14/135 + 8/27. Let l = 18194 - 164767/9. Let i = l + 113. Which is the smallest value? (a) o (b) i (c) 4 (d) -2 d Let n = 1630.1 - 1630.09. What is the biggest value in n, 4, 1/7, 2/7? 4 Let f = -249 - -251. What is the biggest value in f, 1, 2/9, -0.099? f Let o = 18660 - 18661. Let a = -0.2 + 0.2. What is the second smallest value in o, 1/2, a, 1/5? a Suppose 72 + 101 + 142 = 315*d. Which is the smallest value? (a) -3.98 (b) d (c) -0.4 a Let u = -15368 - -15365. Which is the biggest value? (a) 1 (b) -89/6 (c) 2/11 (d) u (e) 1/3 a Let o = 33870 + -33867. Let g = -4.2 + 4. Which is the biggest value? (a) -2 (b) g (c) o (d) -9/8 c Let q = 3.3 + -3. Let b = 0.01178 + 0.10822. What is the second biggest value in b, q, -15? b Let y(s) = 6*s**2 + 2*s**2 + s**3 - 26*s - 44 + 2*s**2 - s**2. Let m be y(-11). Which is the biggest value? (a) 2 (b) m (c) -2/13 (d) -4 a Suppose -145*f + 899 = 25*f - 373 - 428. Let d = -194 - -967/5. What is the second biggest value in d, 0, f? 0 Let x = 0.120627 - -1.879373. Let q be (-1)/(-2)*(0 - 1). Let s = -0.14 + 0.06. Which is the biggest value? (a) s (b) x (c) q b Let p = 4860 + -4856. Which is the second smallest value? (a) p (b) -389 (c) -3/5 c Let k = -413.79 - -414.3. What is the biggest value in k, -24, -1/2? k Let g = 0.4604 + 0.1396. Which is the second biggest value? (a) -1/6 (b) -6 (c) 2/13 (d) g c Let q = -839.8 - -918. Let b = q - 78. What is the biggest value in b, -1, -5, 3? 3 Let f = -18 - -12.7. Let l = 9.3 + f. What is the third biggest value in 3/2, 31, l? 3/2 Let m = 413 + -424. Let i = 581/11 - 53. Let z = 2 + -1.5. What is the biggest value in m, z, i? z Suppose 1673*r = -229*r + 7608. Let y = 2 + 0. Let a = y - 4. What is the biggest value in r, a, 1? r Let y = 5956 + -5872. Which is the biggest value? (a) -0.1 (b) y (c) 4 b Let t = 778.3 - 776.3. What is the biggest value in 2/11, 0, -1/3, t, -2? t Let r = 27311 - 109239/4. Which is the third smallest value? (a) -1/7 (b) -0.066 (c) 1 (d) r (e) -2/13 b Let g = 1.054 - -1.946. Let f = 350 + -348. What is the second biggest value in 0.18, f, g? f Let o be ((-30)/405)/((-3)/(-9)). Let a = 16 - -30. What is the third smallest value in -0.3, 1/6, a, o? 1/6 Let w = 0.6 - 0.9. Let g = w - 0.2. Let x be ((3 - 12)/(-3))/(1 + 0). Which is the third smallest value? (a) x (b) g (c) 3/2 a Let w be (-2146)/630 - (40/18 - 2). Let m = w + 24/7. Let j be 3/5 - ((-14)/10 + 1). Which is the third biggest value? (a) -3 (b) -2/7 (c) j (d) m b Let x = -0.00503 - -0.00503. What is the third biggest value in -6/11, -3.1, x, -2? -2 Let x = 4 - 7. Let u = -0.0333 - -25.1333. Let q = u - 25.2. Which is the second smallest value? (a) q (b) -2/9 (c) 0.12 (d) x b Suppose 733*x - 735*x - y - 11 = 0, 0 = x + 2*y + 7. Which is the fourth biggest value? (a) x (b) -3 (c) 55 (d) 2/9 (e) 2/11 b Let j = 7 + -20. Let l = 885 + -870. Let z = l + j. What is the fourth biggest value in -1, 1/8, z, -10? -10 Suppose -3*s + 5*t = -25, -t - 3*t = -5*s + 20. Let y = -116246 - -464983/4. Let j = -7 - -5. What is the third biggest value in y, -4, j, s? j Let x = 2.0314 - 3.0314. Let u = -2/43 + 186/301. Which is the fourth biggest value? (a) x (b) 0 (c) u (d) -4/5 a Let f = -114 - -567/5. Suppose 0 = -11*c + 4116 - 4149. What is the biggest value in f, c, 7? 7 Suppose 2*j = 4*m - 29 + 11, 4*j + 2*m + 16 = 0. Which is the third biggest value? (a) j (b) -672 (c) -4 b Let z be (2/(-8))/(-1) + -2 + (-113)/(-60). What is the fourth biggest value in 3, 4/5, z, 2/7? z Let h = -4043 - -4048. Which is the second smallest value? (a) 28 (b) -5 (c) 3 (d) h c Let r = 0.1 - -0.9. Let p be ((-36)/(-8) - 3)*(-16)/(-6). Let z = 40.2 + -39. Which is the fourth biggest value? (a) p (b) -4/5 (c) z (d) r b Let r = 1/965 + -968/2895. Which is the second smallest value? (a) 49 (b) -5 (c) r c Let z = 1712/7 - 245. Let i be -12*(-9)/(135/(-170)). Let o be (i/(-30) - 4)*2/8. What is the biggest value in z, 17, 0.2, o? 17 Let d = 177.92 - 173. Let f = -1.92 + d. What is the biggest value in f, 4, -0.1? 4 Let g = 2081 + -2080.7. Which is the fourth smallest value? (a) -1/10 (b) -4 (c) -3 (d) g (e) 33 d Suppose -3*c + 19 = -q, 2 = 5*c - 4*q - 39. Suppose 3*y + 2 + 52 = 0. Let t be (-1 - 3/(-2)) + y/12. What is the second biggest value in 2, c, t? 2 Let h be 1080/1575 - (9/(-3) - 51/(-15)). Which is the second biggest value? (a) -5 (b) 25/6 (c) h (d) 3 d Let t(o) = -118*o - 2834. Let d be t(-24). What is the third biggest value in 4/2283, d, -5? -5 Let w = 4778.6 + -4778.7. What is the fifth smallest value in 2/5, w, 3, 1, 2/21? 3 Let t = -153223/4 + 38306. Which is the fourth biggest value? (a) t (b) -74 (c) 4/3 (d) -0.3 (e) 2/3 d Let k = -113/1394 + -3/82
{ "pile_set_name": "DM Mathematics" }
7 What is the value of (-149124)/(-4658) - (-28)/(-1918)? 32 What is the value of 249*32/(-96) + (-364)/(-13)? -55 -21 + (47874/1890 - 14/315) 30/7 Evaluate (7 + 152/168 - ((-72)/189)/4) + 23. 31 37 + -3 - 50 - (-3 - -19) -32 25/20*(-33 + (-33285)/(-1020) - (-6)/51) -5/16 Calculate 273854/4030 - (-147 + 215). -3/65 Evaluate 63807/(-810) - (-24)/(-80) - (-44)/594. -79 What is the value of (72/10)/9 - (-3 + 7395/2025)? 4/27 What is (-5 - 4)/(-63)*63*18/4212? 1/26 What is the value of ((-1)/(-6) - 4185/186) + (-7)/63*6? -23 What is the value of (954/(-24))/((6789/(-124))/(-73))? -53 Calculate ((-9)/(-52))/((-158737)/2353 + 67). -3/8 What is the value of (-968184)/(-8976) - (-42)/63*(-27)/(-132)? 108 4/(-3 + -37)*10/15 -1/15 62 + 1085069/(-17490) + 3*(-12)/(-135) 5/22 What is the value of ((-352)/(-220))/(78/(-15))? -4/13 (-12)/(5*(-18)/(-60)) - (71 + -26 + -11) -42 Evaluate (150/136 + 1722/(-4879))/((-34)/24). -9/17 What is the value of ((-44)/(-30))/(-53 + (-9432)/(-180))? -22/9 What is 6*75/(-35)*(-6440)/1380? 60 6/((-54)/657) + 25 + -21 -69 Evaluate 28/(-3)*(7 - (-6097)/(-910)). -14/5 Calculate -6 + 744/126 + (2/5)/(1197/102030). 34 (47 - (-14301)/(-441))/(3/14) 68 Calculate (-621)/2484*1*(7 - -365). -93 Calculate (29 + (-6 - 11) + 243/(-15))/(3/(-60)). 84 What is the value of -1 - 18/(-22) - ((-24236)/(-4158) - (-6748 + 6754))? -2/189 Evaluate (18/(-24))/(137/(-6576)). 36 What is (661596/2210 - 301) + 8/34? -7/5 What is the value of (-11*90/(-4752)*8)/((-70)/28)? -2/3 What is the value of (54/(-8)*8/(-12))/((-16)/384*20)? -27/5 What is (-15)/((-13200)/(-9130))*-8? 83 Calculate (-4 + 108/30)*-60*85/32640. 1/16 Calculate 39740/(-129155) - 2618/26. -101 Calculate (-3 + -1 + 16)/(372/217 + (-2997)/1638). -104 Evaluate (2/24 - 87/(-116))*(462/35 - 8). 13/3 What is the value of (-38592)/320 + ((-515)/(-309))/(50/(-12))? -121 0/18*(-4)/(-16) 0 (9/(243/522))/(68/34) 29/3 What is the value of (-24*8/336)/((-198)/(-42) - 5)? 2 9*(-116)/((-2784)/(-56)) -21 Evaluate (-19 - (-42 + 18))/(4/((-1104)/30)). -46 Evaluate (-312)/84*(-168)/48 + -9 + -58. -54 (-77)/((511/876)/(2/(-12))) + 0 22 What is the value of ((6/(-4))/(-1))/(47/1316*-7*14)? -3/7 Calculate ((-24)/(-7)*1)/(39/2 - 2345570/120876). 36 ((-15)/9)/((-4950)/12285 + 3/7) -65 What is the value of 76/32 - (-1267988)/(-11488)? -108 Evaluate (-10)/(-175) - (-4146)/9520 - 100/850. 3/8 What is (-29 - (-12 - 0)) + (-12 + 9 - -112)? 92 What is the value of 1752/(-73) + (-3513)/(-57) - 37? 12/19 Evaluate 1330/(-31 + 101)*-3. -57 What is 165/(-25 - -10) + 165/20? -11/4 -21 - (-1830)/90 - (788/(-18) - 4/(-36)) 43 Calculate (5977/172 + -35)*100. -25 Calculate (-264)/(-64)*((-26660)/(-93))/43. 55/2 What is 42/(-36) - 5850/(-5940)? -2/11 (-750)/(-22) - (60298/803 + -74) 33 Calculate (-22148)/3842 + (-24)/102. -6 Calculate (3 - 2)*(-439 + 44)*(2 - 11/5). 79 What is -22*(51 + 8610/(-180) - 8/3)? -11 Evaluate (39/(-182) + 117*(-8)/336)*49/(-3). 49 Evaluate ((-30)/(-25))/((-6555)/(-575)). 2/19 Evaluate (0 - -8)/(-5 - 6097/(-273)). 6/13 Evaluate 770/495*8/(-12)*9/2*6. -28 What is 84*3816/(-296352)*-49? 53 Evaluate (5075/225 - 22)/(40/528). 22/3 What is 2/71 + 584472/10082? 58 What is the value of -21 + (-6)/27 + 7200/324? 1 What is ((-1997)/5991)/(4/(-10) + -4 + (-33229)/(-7560))? 72 What is 1607834/76600 - -21*(-2)/(4 - 2)? -1/100 What is 48/630 - (-60)/(-400)*5*8/45? -2/35 Evaluate 450/15 + -50 + (-1480)/(-37). 20 (21*41/(-574))/((-498)/8 - 0) 2/83 Evaluate ((-3)/1)/(8/(3136/(-42))). 28 Evaluate 82*((-94)/(-60) + ((-4368)/(-1170))/(-56)). 123 What is the value of (-3)/(-36)*464/(-3132)*-12? 4/27 (-1240)/(-465)*(1090/(-360) - -3) -2/27 What is the value of 87 - (-48 + (-74269)/(-551))? 4/19 Evaluate (-5 + 7)*3 + 1 + 1*(-6 + 54). 55 Evaluate -2 - -275*(-13)/(-1573). 3/11 What is the value of 77/(-8)*32/(-112) - 94432/(-4992)? 65/3 Evaluate (-215)/(-86)*65*(-14)/(-350). 13/2 What is the value of 749/(-84) - (-5)/(30/9)*6? 1/12 Evaluate -76 + (-62218)/(-819) - (-2014)/(-63). -32 What is (-4)/(-14)*(-171 + 143 + 29)? 2/7 What is the value of (-52)/(-16) + (-66516)/20240? -2/55 What is the value of 152/(-114)*((-5292)/(-1176))/((-1)/(41/(-3)))? -82 Calculate (-228)/(-2) - (824 - 806). 96 Calculate (-54)/(-126)*((-3)/8)/((-5)/((-4830)/9)). -69/4 54/(-171) - (-68322)/3363 20 Evaluate -17*(4 + -13 + 906/102). 2 What is the value of (122/8 + -170 + 160)/(133/456)? 18 Evaluate (52 - 82) + 11 + (-3*8 - 1). -44 2520/4860*(3 - 9) -28/9 What is 562/1300 - (-30108)/(-125450)? 5/26 What is the value of (16/(-14))/(3506/(-184065))? 60 What is the value of -7 + (-43 - (-35 + 13))? -28 What is (69 - 55178/799)/(1/2)? -2/17 Evaluate (7/(-14))/(((-7)/14)/(2 + 7)). 9 205*(1 - (-70)/(-450)*5)*(-81)/45 -82 What is 9/(1584/656) - 123/(-451)? 4 What is the value of (-2)/(-94 - (-113456)/1204)? -43/5 Calculate (286*(-214)/18832)/(((-1)/10)/(1 + 1)). 65 What is the value of (3 - 0/(-1)) + 41595/(-11092)? -3/4 (6 - (78 + -44))*2/8 -7 What is (81/((-27702)/(-380)))/(15/9)? 2/3 Evaluate ((-20)/(-9))/(30/945) + -23. 47 What is -53 + (-17790)/(-330) - 193/(-66)? 23/6 Calculate 741/(-104) - ((-24)/(-28))/((-4)/28). -9/8 What is 84 + 226954/(-2552) + 1/(22/4)? -19/4 Evaluate (-171 + -14 - -95) + 106. 16 Calculate 10 + 19 - (7960/160 - 32). 45/4 (((-12495)/(-56))/(-51) + (-11 + 5)*-1)*2 13/4 Calculate ((-52)/(-78))/((-3915)/5670 - (-2)/(-14)). -4/5 Calculate 6/(-22) + (-2440884)/(-209110). 57/5 Evaluate 544/(-26) - (-247 + 226). 1/13 Evaluate 15/(-468)*143472/36600 - ((-9)/(-10) - 1). -1/39 What is the value of -4 - -134*8/672 - (-20)/8? 2/21 Evaluate 160/(-3) + (1353 - 1308). -25/3 What is ((-550)/66)/(25/90) + 12? -18 (1*(-564)/(-32))/((-1017)/5424) -94 Calculate (-526)/(-104) - (-39)/((-468)/60). 3/52 What is (-225 - -323)*30/28? 105 Calculate 329/(-8) - ((-1812)/(-96) - 17). -43 What is the value of 29070/(-765)*(29/14 - 6*(-5)/70)? -95 What is the value of 19 - (-2)/4*838*90/(-2070)? 18/23 What is the value of 11/(55/(-10)) + 2*99/(-18)? -13 What is the value of (217/(-62) - -3)/(8/(-192))? 12 ((-7)/3080*16 - (-309)/935)*-2 -10/17 What is the value of (-1)/((-234)/((-78)/2) + 164/(-28))? -7 What is the value of (-96 - (-250)/(-225)*-45)*(2 - 0)/2? -46 (-208)/16*18/1287 -2/11 55 - (5472300/1170)/85 -1/39 What is the value of 4002/(-322)*(-6 - 88/(-24))? 29 Evaluate (((-6)/12 + 30/(-32))*-12)/((-18)/(-48)). 46 Calculate (504/66)/(6036/(-44264)). -56 Evaluate 2232/1710 - 124/1178. 6/5 -9 + (3 - 8 - (14 - 0 - (-448)/(-18))) -28/9 Calculate (135/(-105))/(-39 + 26280/672). -12 What is (-16 - -43) + -20 + (-12 - -3)? -2 What is -4*(8/34)/((-299)/(-20332))? -64 Calculate 237*(-8)/(-24) - (48 + (-1 - 33)). 65 What is the value of (-18)/4 - 161595/(-36450)? -1/15 What is the value of (-15)/(-9)*((-462621)/9635 + 48)? -1/41 What is the value of ((-693)/(-264))/(2/21 - (-605)/924)? 7/2 Evaluate (-138)/14*(-48)/324*(-8127)/(-258). 46 Evaluate (-3*2/(-4))/(1458/(-20088)*-2201). 2/213 What is the value of (-84)/48 - (-37635)/772? 47 What is 26/(-24)*(-32)/208 + 76/120? 4/5 What is -19 + 8/(16376/38847)? -2/89 Calculate 2212/(-31600)*(68/(-28) + -1). 6/25 What is (5 - (-1788)/(-360))/(310/(-30225))? -13/4 What is the value of (-4446)/182 + 19 + (28/(-21))/((-4)/36)? 46/7 What is (-10)/(3638/(-68) - -6)? 4/19 ((130/39)/10)/(-23 + 2033/114) -2/31 Evaluate (-8558)/(-2334) - (-1632)/(-18). -87 Calculate ((-154)/88)/(1960/52640). -47 What is (7 - (5 - 3)) + 36*135/(-980)? 2/49 Evaluate (-6 - (44 + -48)) + (-3 - 186/(-34) - 0). 8/17 What is the value of -312 + 279 + 3 + 110 + 2? 82 Calculate 282/(-3525)*20*(-10)/(-2776). -2/347 -5 + 4/(-6)*702/(-52) 4 Calculate 2405/(-39)*(-2025)/(-1125). -111 (4518/(-15060))/((-59)/10) 3/59 What is (566 - (-342166)/(-604))*(-4 - 0)*1? 2 Evaluate 20/210 + 250/10*12/2142. 4/17 Evaluate (869/33)/(-79)*-102. 34 Calculate (1833/(-621) - (-3352)/19274) + 3. 2/9 Calculate 35739/(-7623) - (-65)/(-143). -36/7 Calculate -50*(-24)/288*(-18)/(-10)*-2. -15 What is the value of 1925/(-945)*-9 - 20? -5/3 Evaluate 156*(-8)/(-96) - (98 - (1 - 9)). -93 ((-114)/8*(1 + 3))/(7 + -7 + -3) 19 What is ((-18)/(-15) - -2)*(230/2392)/(12/48)? 16/13 Calculate ((-39)/11)/((-15530)/34166). 39/5 ((-7)/42*4)/(((-1127)/(-546))/23) -52/7 Evaluate ((-3)/(-12))/(-1
{ "pile_set_name": "DM Mathematics" }
ors of i? 19 Let i = 31 + -6. Suppose i + 29 = 3*d. List the prime factors of d. 2, 3 Let c be 2 - 0/((-1)/(-1)). Let w(j) = j**2 - j + 5. Let x be w(0). Suppose x - c = v. List the prime factors of v. 3 Let u be 8/12*6/4. Let v = u - -3. Let c = v - -4. What are the prime factors of c? 2 Let f(o) = -2*o + 9. Let i be f(-7). Let a = i - 14. List the prime factors of a. 3 Suppose -y + 20 = -3*y. Let k = 28 + y. What are the prime factors of k? 2, 3 Let h(a) be the third derivative of -a**4/24 + 4*a**3/3 - a**2. Let b be h(9). List the prime factors of 4*b*10/(-4). 2, 5 Suppose -3*y - 96 = -7*y. Suppose -2*z + 10 = 2*k - y, -k + 2*z + 17 = 0. What are the prime factors of k? 17 Let t = 19 + 6. Suppose 0 = -2*v - 5*c + 13, 5*v + c + 4 = t. What are the prime factors of v? 2 Let y(o) = -o**3 + 6*o**2 + 8*o - 1. Let d(g) = 3*g - 2. Suppose 2*q - 3*p = 2*p + 6, -q + 3 = -5*p. Let k be d(q). What are the prime factors of y(k)? 2, 3 Suppose 0 = -4*a + 6*a - 62. What are the prime factors of a? 31 Let p = 55 + 78. List the prime factors of p. 7, 19 Let o = -25 + 35. Suppose 4*c + 25 = -c, -k + o = 2*c. List the prime factors of k. 2, 5 Let y(b) = -b**2 + 7*b + 11. List the prime factors of y(6). 17 Suppose 36 = 5*d - 69. Let y(w) = 2*w**2 - w - 2. Let v be y(3). Let c = d - v. List the prime factors of c. 2 Let w(l) = 9*l + 7. Let x be w(3). Suppose 0 = 5*k - 66 - x. What are the prime factors of k? 2, 5 Suppose 0 = -8*n - 893 + 3309. What are the prime factors of n? 2, 151 Suppose 10*b - 84 = 7*b. List the prime factors of b. 2, 7 Let k(a) = 2*a**2 - 5*a - 2. List the prime factors of k(7). 61 List the prime factors of (-61 + -1)/(7/(35/(-10))). 31 Suppose -4*f = 3*l - 382, 2*f - 69 - 115 = 2*l. What are the prime factors of f? 2, 47 Suppose -2 = 4*b + c + 3, 3*b = 3*c. Let g = b - -29. List the prime factors of g. 2, 7 Suppose -2*d + d - 12 = 0. Let t = 2 - d. Suppose 5*n + 2*c - 43 = 0, c + 3 = 3*n - t. List the prime factors of n. 7 Let v(a) = 3*a + 22. List the prime factors of v(8). 2, 23 Suppose 15*f - 651 = 879. List the prime factors of f. 2, 3, 17 Let c(h) = 5*h + 22. List the prime factors of c(8). 2, 31 Let j(v) = 5*v + 2. Let r = 20 - 17. List the prime factors of j(r). 17 Suppose 4*x - 153 = 243. List the prime factors of x. 3, 11 Suppose -9*x = -631 - 620. List the prime factors of x. 139 Let o = 123 + -70. What are the prime factors of o? 53 Let f = 66 - -25. What are the prime factors of f? 7, 13 Let w be (2 - 3)/(1/(-2)). Suppose -2*n - w*n = 0. What are the prime factors of n + -1 - -3 - -1? 3 What are the prime factors of (-1684)/(-7) - 20/35? 2, 3, 5 Let k be 1 + -4 + 2 + -1. Let g = 3 - k. Suppose 5*u - 10 = 5*p - 0, -4*u = -g*p - 3. List the prime factors of u. 7 Let x be -40*(-2 + 14/5). Let m = 45 + x. What are the prime factors of m? 13 Let c(k) = -k - 2. Let y be c(-6). Let i be y + 1*(-3)/(-3). Suppose 0 = i*v - 4 - 46. List the prime factors of v. 2, 5 Let l = -10 - -14. Let t be (-42)/l*(2 - 4). Let v = 32 - t. List the prime factors of v. 11 Let c(i) = -i**2 + 14*i + 6. Let n = 27 - 16. List the prime factors of c(n). 3, 13 Suppose 5*l + 5 = -4*o, -2*l - 5*o + 0*o = -15. Let m = l - -14. What are the prime factors of m? 3 Suppose -v + 59 + 55 = -3*i, 4*v = 5*i + 463. What are the prime factors of v? 3, 13 Let l(g) = -g**3 + 13*g**2 - 16*g + 9. List the prime factors of l(11). 3, 5 Let c be 2*2/(-16)*-8. Suppose c*z - 44 = -0*z. List the prime factors of z. 2, 11 Let u = 9 - 23. Let g be 4/14 + (-206)/u. Suppose 0 = -5*j + 5*f + 15, 2*f - f = 3*j - g. What are the prime factors of j? 2, 3 Let r = -434 - -607. What are the prime factors of r? 173 Let d be ((-16)/(-2))/((-4)/(-2)). Let m(l) = l**3 - 2*l**2 + 3. What are the prime factors of m(d)? 5, 7 Suppose -3*x + 2*h - 8 + 116 = 0, 2*h + 74 = 2*x. List the prime factors of x. 2, 17 Let r(x) = x**2 - 6*x + 5. Let l be r(4). Let a be (-3)/l*2 - -2. Suppose -a*z - 32 = -j - 3*j, 2*j + 4*z + 2 = 0. List the prime factors of j. 5 Let m = 10 - 4. Let t(n) = n + 6. What are the prime factors of t(m)? 2, 3 Let w(q) be the third derivative of q**6/120 + q**5/60 - q**4/12 + q**3/3 - 2*q**2. Let c be w(2). Suppose c = -5*f + 25. What are the prime factors of f? 3 Let d = -1 - -4. Suppose -d*s = -0*s - 18. List the prime factors of s. 2, 3 Suppose 2*o = -5*a + 1 + 73, -5*a + 60 = -5*o. What are the prime factors of a? 2, 7 Let f be (-1 - -5)*(10 - 0). Let u = -26 + f. Suppose -4 + u = 2*z. What are the prime factors of z? 5 Suppose 4*l + 2*r - 457 = 5*r, 3*l - 5*r - 329 = 0. What are the prime factors of l? 2, 59 List the prime factors of (-3 - 15/(-6))*-100. 2, 5 Suppose -3 = -2*n + 1. Let l(b) = -b**2 + 3*b - 2. Let c be l(n). Let y(o) = -o + 13. List the prime factors of y(c). 13 Suppose -24 = 5*m + x, 0 = 4*m - 5*x + 3*x + 8. List the prime factors of (-61)/(-2) + 2/m. 2, 3, 5 List the prime factors of 4/14 - (-124)/7. 2, 3 Suppose 5*l - 6*l + 78 = 0. Let j be l/24 + (-2)/8. Let s(k) = -k**3 + 6*k**2 - 5*k + 2. What are the prime factors of s(j)? 2, 7 Let u = 12 + 0. List the prime factors of u. 2, 3 Suppose -3*s - 168 = 15. Let k = 93 + s. What are the prime factors of k? 2 Suppose -8*k + 5*k = -585. What are the prime factors of k? 3, 5, 13 Let d(v) be the first derivative of -v**4/4 - 8*v**3/3 + 7*v**2/2 - 6*v - 2. List the prime factors of d(-9). 2, 3 Suppose -p - 2*s + 0*s = -145, p + s - 143 = 0. What are the prime factors of p? 3, 47 What are the prime factors of -3*(-14)/12*2? 7 Suppose -2*a + y - 23 + 79 = 0, 3*y - 92 = -4*a. List the prime factors of a. 2, 13 Let i(b) be the first derivative of -9*b**2/2 - 9. Suppose -3*o + 0 - 6 = 0. List the prime factors of i(o). 2, 3 Suppose -5*r + 28 = 2*v, -3*v - 8 = -7*r + 2*r. What are the prime factors of v? 2 Suppose 0 = -0*j + 5*j + 4*v - 76, -3*v - 67 = -4*j. List the prime factors of j. 2 Suppose 3*g + a - 329 = -1, -4*g = -3*a - 433. List the prime factors of g. 109 Suppose 4*v - 53 - 11 = 0. List the prime factors of v. 2 List the prime factors of 6/(-4)*(-40)/15. 2 Let t(p) be the second derivative of -1/2*p**3 - p + 0 + 1/12*p**4 - 3/2*p**2. What are the prime factors of t(5)? 7 Let n = -18 + 13. Let x be 22/5 - (-2)/n. Suppose 3*w + 16 = -w, x*w = f - 21. List the prime factors of f. 5 Let s = 30 + -58. Let b = 53 - 93. Let v = s - b. What are the prime factors of v? 2, 3 List the prime factors of (92/(-4))/(4/(-8)). 2, 23 Let l(w) = -w**3 - 11*w**2 - 8*w - 6. Suppose q + 7 = -3. Let m be l(q). Let p = m + 36. List the prime factors of p. 2, 5 Let v(c) = -c**3 + 9*c**2 - 6*c - 11. List the prime factors of v(8). 5 Let r = -4 - -9. Suppose -50 = r*x - 10*x. List the prime factors of x. 2, 5 Suppose -c - v - 47 = 0, 10 = -2*v - 0*v. List the prime factors of 2/7 + (-786)/c. 19 Suppose 198 = -16*t + 17*t. What are the prime factors of t? 2, 3, 11 Suppose -2 - 3 = -h. What are the prime factors of h? 5 Let k(g) be the first derivative of -3*g**2/2 + 3*g + 3. List the prime factors of k(-3). 2, 3 Suppose 0 = -4*s + s - 3, -x + 2*s = -2. List the prime factors of (-2)/(-2)*12 - x. 2, 3 Let y(o) = 8*o**2 + 10*o - 18. What are the prime factors of y(2)? 2, 17 Suppose -z + 5 - 13 = 0. Let d(j) = -4 - 3 - 3*j + j + 3. What are the prime factors of d(z)? 2, 3 Let p = -66 - -190. List the prime factors of p. 2, 31 Suppose 0*s + 3*s - 3 = 0. Let a be (-2)/((4/(-74))/s). Suppose 5*v - 12 - 23 = -5*u, v - 5*u - a = 0. List the prime factors of v. 2, 3 Suppose -6 = 2*z, 4*n - 156 = -3*z + 143. List the prime factors of n. 7, 11 Suppose 0 = -2*z - 2*t + 118, -180 = -5*z + 5*t + 105. Suppose 3*p = -0*k - k + 32, 4*k - z = -5*p. What are the prime factors of p? 2, 5 Let n(l) = l**2 + 13*l + 8. Let y(b) = 3*b**2 + 40*b + 24. Let z(u) = -7*n(u) + 2*y(u). What are the prime factors of z(-6)? 2, 11 Suppose -4*p + 8 = -2*p. Suppose 4*c - 4*q + 104 = -24, p*c = 5*q - 132. What are the prime factors of 10/25 - c/5? 2, 3 Let t = 12 - 17. Let w = 7 + t. Suppose 0 = -7*o + w*o + 35. List the prime factors of o. 7 Suppose -5*j - 3*l - 60 = 0, 2*l + 4 = -j + 3*l. Let s = j - -18. What are the prime factors of s? 3 Suppose 3*f - 6*f = -18. List the prime factors of f. 2, 3 Suppose 0 = 4*x - 17 - 79. Suppose 5*o - x = o. What are the prime factor
{ "pile_set_name": "DM Mathematics" }
o the nearest integer? 53 What is 1850 to the power of 1/4, to the nearest integer? 7 What is the square root of 57143 to the nearest integer? 239 What is 1409 to the power of 1/3, to the nearest integer? 11 What is 8524 to the power of 1/3, to the nearest integer? 20 What is the cube root of 19498 to the nearest integer? 27 What is 13338 to the power of 1/3, to the nearest integer? 24 What is the cube root of 55934 to the nearest integer? 38 What is 2956 to the power of 1/3, to the nearest integer? 14 What is 1729 to the power of 1/10, to the nearest integer? 2 What is the cube root of 8584 to the nearest integer? 20 What is the cube root of 64481 to the nearest integer? 40 What is the square root of 6656 to the nearest integer? 82 What is 6954 to the power of 1/3, to the nearest integer? 19 What is the fifth root of 432 to the nearest integer? 3 What is 3756 to the power of 1/2, to the nearest integer? 61 What is the tenth root of 7089 to the nearest integer? 2 What is 42420 to the power of 1/4, to the nearest integer? 14 What is the third root of 26533 to the nearest integer? 30 What is the sixth root of 67231 to the nearest integer? 6 What is the fourth root of 173005 to the nearest integer? 20 What is 3882 to the power of 1/2, to the nearest integer? 62 What is the fifth root of 32237 to the nearest integer? 8 What is the eighth root of 37580 to the nearest integer? 4 What is 39595 to the power of 1/4, to the nearest integer? 14 What is 657 to the power of 1/6, to the nearest integer? 3 What is the third root of 20631 to the nearest integer? 27 What is the cube root of 14808 to the nearest integer? 25 What is the cube root of 135270 to the nearest integer? 51 What is the fifth root of 92702 to the nearest integer? 10 What is the cube root of 1284 to the nearest integer? 11 What is the square root of 306 to the nearest integer? 17 What is 9934 to the power of 1/4, to the nearest integer? 10 What is the cube root of 1242 to the nearest integer? 11 What is the cube root of 16020 to the nearest integer? 25 What is the third root of 1389 to the nearest integer? 11 What is 11711 to the power of 1/3, to the nearest integer? 23 What is the cube root of 29508 to the nearest integer? 31 What is the square root of 12332 to the nearest integer? 111 What is the third root of 18823 to the nearest integer? 27 What is 715 to the power of 1/2, to the nearest integer? 27 What is the sixth root of 10361 to the nearest integer? 5 What is the seventh root of 39120 to the nearest integer? 5 What is the seventh root of 981 to the nearest integer? 3 What is 3068 to the power of 1/8, to the nearest integer? 3 What is the third root of 7869 to the nearest integer? 20 What is 151753 to the power of 1/3, to the nearest integer? 53 What is the third root of 4341 to the nearest integer? 16 What is the square root of 40678 to the nearest integer? 202 What is 4235 to the power of 1/2, to the nearest integer? 65 What is the third root of 224 to the nearest integer? 6 What is 36613 to the power of 1/2, to the nearest integer? 191 What is 496 to the power of 1/2, to the nearest integer? 22 What is 115 to the power of 1/7, to the nearest integer? 2 What is the cube root of 13974 to the nearest integer? 24 What is 67481 to the power of 1/3, to the nearest integer? 41 What is 2977 to the power of 1/2, to the nearest integer? 55 What is the square root of 707 to the nearest integer? 27 What is the seventh root of 1486 to the nearest integer? 3 What is the square root of 134153 to the nearest integer? 366 What is the third root of 3764 to the nearest integer? 16 What is 2845 to the power of 1/6, to the nearest integer? 4 What is the square root of 18 to the nearest integer? 4 What is the sixth root of 29582 to the nearest integer? 6 What is the square root of 307 to the nearest integer? 18 What is 37373 to the power of 1/6, to the nearest integer? 6 What is the third root of 20167 to the nearest integer? 27 What is 1164 to the power of 1/2, to the nearest integer? 34 What is the cube root of 2026 to the nearest integer? 13 What is the third root of 174971 to the nearest integer? 56 What is the cube root of 5729 to the nearest integer? 18 What is the ninth root of 10038 to the nearest integer? 3 What is the fourth root of 5711 to the nearest integer? 9 What is the fifth root of 11248 to the nearest integer? 6 What is the third root of 17225 to the nearest integer? 26 What is the eighth root of 4336 to the nearest integer? 3 What is the third root of 8542 to the nearest integer? 20 What is 1137 to the power of 1/3, to the nearest integer? 10 What is 5924 to the power of 1/3, to the nearest integer? 18 What is the third root of 9270 to the nearest integer? 21 What is the square root of 17430 to the nearest integer? 132 What is 20458 to the power of 1/10, to the nearest integer? 3 What is 5592 to the power of 1/2, to the nearest integer? 75 What is 24163 to the power of 1/3, to the nearest integer? 29 What is the sixth root of 6310 to the nearest integer? 4 What is the square root of 30606 to the nearest integer? 175 What is the third root of 790 to the nearest integer? 9 What is the third root of 814 to the nearest integer? 9 What is the third root of 1660 to the nearest integer? 12 What is the square root of 84221 to the nearest integer? 290 What is 46756 to the power of 1/2, to the nearest integer? 216 What is 208 to the power of 1/6, to the nearest integer? 2 What is the cube root of 33880 to the nearest integer? 32 What is 17084 to the power of 1/7, to the nearest integer? 4 What is the square root of 87 to the nearest integer? 9 What is 51445 to the power of 1/6, to the nearest integer? 6 What is the third root of 6167 to the nearest integer? 18 What is 19510 to the power of 1/5, to the nearest integer? 7 What is the cube root of 6624 to the nearest integer? 19 What is the square root of 63330 to the nearest integer? 252 What is the ninth root of 2466 to the nearest integer? 2 What is the cube root of 8621 to the nearest integer? 21 What is the cube root of 81350 to the nearest integer? 43 What is the square root of 39559 to the nearest integer? 199 What is the sixth root of 4167 to the nearest integer? 4 What is the ninth root of 1082 to the nearest integer? 2 What is the fifth root of 4532 to the nearest integer? 5 What is the cube root of 1022 to the nearest integer? 10 What is the cube root of 23261 to the nearest integer? 29 What is 1047 to the power of 1/5, to the nearest integer? 4 What is the sixth root of 14484 to the nearest integer? 5 What is 61662 to the power of 1/4, to the nearest integer? 16 What is the seventh root of 1553 to the nearest integer? 3 What is 9575 to the power of 1/10, to the nearest integer? 3 What is 61362 to the power of 1/5, to the nearest integer? 9 What is 57680 to the power of 1/3, to the nearest integer? 39 What is 42997 to the power of 1/3, to the nearest integer? 35 What is 9491 to the power of 1/2, to the nearest integer? 97 What is the fourth root of 84288 to the nearest integer? 17 What is the square root of 23133 to the nearest integer? 152 What is the third root of 1492 to the nearest integer? 11 What is the third root of 5267 to the nearest integer? 17 What is the sixth root of 48608 to the nearest integer? 6 What is the seventh root of 18502 to the nearest integer? 4 What is the third root of 2216 to the nearest integer? 13 What is the eighth root of 1209 to the nearest integer? 2 What is the sixth root of 7203 to the nearest integer? 4 What is 201448 to the power of 1/5, to the nearest integer? 12 What is 6573 to the power of 1/2, to the nearest integer? 81 What is the square root of 60493 to the nearest integer? 246 What is the tenth root of 257 to the nearest integer? 2 What is the square root of 6758 to the nearest integer? 82 What is 180992 to the power of 1/3, to the nearest integer? 57 What is 2578 to the power of 1/2, to the nearest integer? 51 What is the third root of 2923 to the nearest integer? 14 What is the square root of 3847 to the nearest integer? 62 What is 11239 to the power of 1/10, to the nearest integer? 3 What is the third root of 5067 to the nearest integer? 17 What is the square root of 26450 to the
{ "pile_set_name": "DM Mathematics" }
est value in -2, 2/9, -0.1, 5? 2/9 What is the biggest value in 17, 2, 3/4? 17 What is the third smallest value in 1.4, 1/49, 0.1? 1.4 What is the fourth smallest value in 0.08, 2/7, 2, -5? 2 Which is the smallest value? (a) 13 (b) -289 (c) 2/17 b What is the third smallest value in 1/2, 4, -5? 4 Which is the third smallest value? (a) 1/4 (b) -2/3 (c) 367 c What is the biggest value in -0.4, -1/11, -0.03? -0.03 What is the second biggest value in -0.03, 40, -0.1? -0.03 What is the third biggest value in -1/2, -9/2, -36? -36 Which is the third biggest value? (a) -0.5 (b) 166 (c) 3 (d) 2/7 d Which is the smallest value? (a) -5 (b) 0.2 (c) -0.029 a Which is the third smallest value? (a) 3 (b) 4 (c) -33 (d) -3/5 (e) -1 d Which is the second smallest value? (a) 2/15 (b) 0 (c) 5 (d) -11/96 (e) 0.1 b Which is the third biggest value? (a) 1/4 (b) 5 (c) -4/3 (d) 0 d Which is the second smallest value? (a) -1 (b) 5 (c) 216 (d) -0.1 (e) -2 a Which is the fourth biggest value? (a) -6/35 (b) -9 (c) -11 (d) -0.4 c What is the smallest value in 2/7, 1/4, -1? -1 What is the third biggest value in -0.4, -3/11, -0.5, 2/9? -0.4 Which is the second biggest value? (a) 2 (b) 0.3 (c) -0.2 (d) -3/4 b Which is the fourth biggest value? (a) -3 (b) 0.05 (c) 1/14 (d) -1/4 a What is the fourth smallest value in -1/2, -75, 1/3, -130? 1/3 What is the second smallest value in -3, 25, 0.06, 0.05? 0.05 Which is the third smallest value? (a) 21 (b) -0.1 (c) -0.5 (d) -1/4 (e) 0 b What is the second smallest value in 25/9, -15, -0.2? -0.2 What is the second smallest value in -3/5, -3, -4, -14, -12/5? -4 What is the biggest value in 3/26, 0.4, 0.5? 0.5 Which is the third smallest value? (a) 15 (b) 0 (c) -2 (d) 2 (e) -1 b What is the second biggest value in 1/10, 1, -1, 7? 1 What is the third smallest value in -3.7, -10, -0.5? -0.5 What is the third smallest value in -4, -0.4, 8, -5? -0.4 What is the fourth biggest value in -3, -0.9, -2/23, -2? -3 What is the biggest value in 2, -38/9, -0.5? 2 Which is the second smallest value? (a) -9 (b) 0.3 (c) -5 (d) -0.03 c What is the fourth biggest value in 0, 2, -0.2, 167? -0.2 What is the second biggest value in 2/3, 3/7, -1, -26? 3/7 What is the smallest value in 1/9, 10, -49? -49 Which is the third smallest value? (a) 0.4 (b) -2/75 (c) 2 c Which is the second biggest value? (a) 0.4 (b) -2/9 (c) -2 (d) -20 b Which is the second biggest value? (a) -2/11 (b) -2/13 (c) -5 a Which is the third smallest value? (a) 0 (b) -5 (c) -2 a Which is the second biggest value? (a) -4 (b) -7 (c) 0 (d) 0.1 c Which is the third smallest value? (a) 8 (b) -3.8 (c) -4 a Which is the third biggest value? (a) -55 (b) 1/2 (c) -34 (d) 5 c Which is the third biggest value? (a) -5 (b) -9 (c) -1/5 (d) 1 a What is the fourth biggest value in 1, -2/3, 1/3, -35? -35 What is the fourth smallest value in -0.2, -9, 3, 60? 60 What is the biggest value in 4, 0.4, 3/2, 28, -24? 28 What is the third biggest value in -1, -2/19, -5? -5 What is the smallest value in 16, 0, -3? -3 Which is the third biggest value? (a) -1/2 (b) -3/11 (c) -0.3 a What is the third biggest value in 0, -0.2, -3, 1, -0.1? -0.1 Which is the fourth smallest value? (a) -3/2 (b) 13/2 (c) -3 (d) -1 b Which is the smallest value? (a) 2/11 (b) -24.27 (c) -3 (d) 4 b Which is the biggest value? (a) -2 (b) -44 (c) -22 a What is the second smallest value in 2, -2, -0.8, 4? -0.8 Which is the second smallest value? (a) -5/4 (b) -0.2 (c) -18 (d) 5 a Which is the fourth biggest value? (a) -5 (b) 5 (c) -10 (d) -2/13 c What is the fourth smallest value in 5, 1/7, 6, 2, 0? 5 Which is the fourth smallest value? (a) -2/19 (b) 3 (c) 7 (d) -35 c Which is the third biggest value? (a) 16/3 (b) -0.2 (c) -2/15 b Which is the second smallest value? (a) -1/7 (b) 2 (c) -17 a What is the smallest value in 2/7, -4, 4, 2/9, -12? -12 What is the second biggest value in 5, 2/17, -877, -3, -1/11? 2/17 Which is the fourth biggest value? (a) 0.7 (b) 0.2 (c) 0 (d) -0.4 (e) -7 d What is the third smallest value in -5/2, -0.3, 6, -4? -0.3 What is the third smallest value in -4, -0.2, 1/3, 2641? 1/3 Which is the smallest value? (a) 0.4 (b) -1/4 (c) 0.1289 b What is the second biggest value in -0.0187, -1/2, -0.4? -0.4 Which is the third biggest value? (a) 0.2 (b) -4/7 (c) 1 (d) 0.3 a What is the second biggest value in 2, -146, -0.5? -0.5 Which is the biggest value? (a) 1 (b) 3/4 (c) 1/55 a What is the biggest value in 2/41, -405, 3, -2/5? 3 Which is the third smallest value? (a) 2 (b) 0.4 (c) -1 (d) -88 (e) -0.2 e Which is the fourth smallest value? (a) 2/289 (b) -0.4 (c) 1/5 (d) -8 c What is the biggest value in -0.032, -11, 1, 5? 5 What is the fourth smallest value in -3, 4, -0.3, 2/3, -61? 2/3 Which is the second biggest value? (a) -3/8 (b) 4 (c) -6 a Which is the smallest value? (a) 3 (b) 5 (c) -2 (d) -1/7 (e) -11.54 e Which is the second biggest value? (a) 0.2 (b) -0.83 (c) 5 a What is the fourth biggest value in -3, -0.4, 0.79, 3? -3 Which is the smallest value? (a) -63 (b) 0.3 (c) 4 a Which is the second biggest value? (a) 1 (b) -2/7 (c) -1 (d) 8 a Which is the smallest value? (a) -1 (b) -2 (c) 4/3 (d) -4 d Which is the fourth smallest value? (a) 5 (b) 0.01 (c) -1/2 (d) 3/64 a What is the second biggest value in -2/3, -7, -30, 2/9, 3? 2/9 Which is the fifth smallest value? (a) 11 (b) -0.07 (c) -0.1 (d) 2/19 (e) -9 a What is the biggest value in 1, -1/2, 2/15, 0.4, -0.031? 1 Which is the second smallest value? (a) 0.2 (b) 3 (c) 0.07 (d) 0.1 (e) 0.3 d Which is the biggest value? (a) 11/3 (b) -82/9 (c) -1/2 a Which is the third biggest value? (a) 0.2 (b) -1 (c) 5 (d) 0.7 a What is the smallest value in 0.4, 0.5, -0.185, 5? -0.185 Which is the biggest value? (a) -4 (b) 0.1 (c) 0 (d) 0.4 (e) 3/10 d What is the smallest value in -0.3, 5, -1, 1/21, -4? -4 What is the biggest value in 4, -1/3, 1.81? 4 Which is the third smallest value? (a) -26 (b) 0.2 (c) -1/7 (d) 1 b What is the third smallest value in 2, 0.4, 1, 109? 2 Which is the biggest value? (a) -2 (b) 0.5 (c) -3 (d) 1/6 (e) 3/4 e What is the biggest value in 1, 4, 2/13, 2? 4 Which is the second biggest value? (a) 2 (b) -0.05 (c) 6 (d) 1 (e) -5 a What is the third biggest value in 1.6, 2/17, 0.5, -2? 2/17 Which is the second biggest value? (a) -0.1 (b) 17 (c) -4/9 a Which is the fifth smallest value? (a) -2/7 (b) 2/9 (c) 0.4 (d) 0 (e) 7 e What is the fifth smallest value in -20, 2, -2, 0, -3/5? 2 Which is the biggest value? (a) 2/3 (b) -7 (c) -45/7 (d) 2 (e) -0.5 d Which is the fourth smallest value? (a) -3.5 (b) -0.5 (c) -7 (d) 1 (e) -2 b What is the smallest value in 1, 14/9, 1/8? 1/8 Which is the biggest value? (a) 0 (b) -8 (c) -0.026 a What is the fourth biggest value in -1/9, -0.5, -7, -5? -7 What is the third biggest value in -3, -77, 0? -77 What is the second smallest value in 0.04, 0.02, 0.1? 0.04 What is the fourth biggest value in -4, 38, 0, -7? -7 What is the biggest value in 3, -0.04, 1/3, 1/5? 3 What is the third biggest value in -0.5, 302, -0.01? -0.5 Which is the fifth smallest value? (a) 0.8 (b) -13 (c) -3 (d) 0 (e) -0.5 a Which is the second biggest value? (a) -0.04 (b) 4 (c) -5 (d) -2/11 (e) -8 a What is the smallest value in 5, 8.1, -4? -4 What is the third biggest value in 1/11, 1/10, -2/17, 5? 1/11 Which is the second smallest value? (a) 4 (b) -3 (c) -2 (d) -303 b Which is the second smallest value? (a) -6 (b) -13 (c) 3/2 (d) 1/5 (e) 3 a What is the second biggest value in 0, -0.01, 31? 0 Which is the second biggest value? (a) 0.221 (b) 3 (c) -5 (d) -3 a What is the third biggest value in 0.07, 9, -1, 0.3? 0.07 What is the smallest value in -4/3, -1/5, -1.3, 2/13, 5? -4/3 What is the second biggest value in 0.3, -0.5, -2, -2008? -0.5 Which is the third biggest value? (a) 1/3 (b) -113 (c) -3 b What is the second smallest value in -5, 0.1, -289? -5 Which is the smallest value? (a) 4/7 (b) -1 (c) 5 (d) 19 (e) 0.5 b Which is the third biggest value? (a) 16 (b) -0.9 (c) -4 c Which is the third biggest value? (a
{ "pile_set_name": "DM Mathematics" }
smallest value? (a) l (b) 3/11 (c) m c Let c = 31700 - 31658. What is the biggest value in c, 26.4, 5? c Let i be 0/(-1) + 2*5. Suppose 0 = -i*m + 13*m. Let u be 2*(m - (-3)/36). Which is the third smallest value? (a) 1/10 (b) 0 (c) u c Let k = -2095 - -2075. Which is the second biggest value? (a) 3/2 (b) k (c) -0.5 (d) 2/7 d Let z = -0.213 - 24.787. Let j = z - -21. What is the fourth biggest value in 1, 0.2, 30, j? j Suppose -7*z + 51 = -33. Let m be (-4)/z + (-110)/(-150). Which is the fourth smallest value? (a) 2 (b) -3 (c) m (d) -31/4 a Let k = 166 - 342. Let w = k - -179. Which is the second biggest value? (a) -2/9 (b) -7 (c) w a Let a = 1333 - 1335. What is the third smallest value in -0.077, -8, a? -0.077 Let d be 0 + 1119/(-1128) + 1. Let w = 97/376 - d. Which is the smallest value? (a) -6 (b) w (c) -1.3 a Let r be 345/(-90)*1 + 4. Which is the smallest value? (a) -4 (b) r (c) 981 a Let n = 0.53 - -0.07. Let v = n - 0.4. Let f = 314/3745 + 108/535. Which is the second biggest value? (a) f (b) 2 (c) v a Let i = -2517 - -2514. What is the third smallest value in i, 3/4, 2/11, -1? 2/11 Suppose 4*q - 9*q = -460. Suppose -4*l + q = -6*l. Which is the biggest value? (a) -4 (b) 0.4 (c) l b Let a = -68.6 - -74.5. Let t = a - -9.1. What is the third smallest value in t, 2/7, 4? t Let r = 18498.4 + -18498. Which is the fifth biggest value? (a) r (b) -2 (c) -2/9 (d) 0.3 (e) -1/19 b Let z = 1.1 + -5.1. Let m = -2513/1670 + 4/835. Which is the third smallest value? (a) m (b) -0.1 (c) z (d) 1/3 b Suppose 1331*l + 58 = 1302*l. Which is the third biggest value? (a) -40 (b) l (c) -8 (d) -3 (e) -0.4 d Let q = 0.1 - 9.1. Let u be 1/(21/133) - 6. Which is the third smallest value? (a) 0.3 (b) u (c) q b Let g = -89 + -21. Let p be (9/11 - 1) + (-295)/g. Let h = -0.184 + -1.816. What is the fourth smallest value in -2/7, 0, p, h? p Let z = 2/109 - 113/218. Let i = 3.1955 - 0.1955. What is the fourth smallest value in z, 0, -7.9, i? i Let j = -2.46 + -62.54. Let t = 54 + j. Let z be 2/6 - 3/27. What is the third biggest value in z, t, 1/5? t Let n = 138 - 134. Let v = 3 - 2.6. What is the third biggest value in -1/5, -3, v, n? -1/5 Let r = 0.1993 - 0.5993. What is the fourth smallest value in r, -0.06, -0.3, -45/2, 3? -0.06 Let x = -3931 - -4086. What is the biggest value in -0.07, x, -0.3? x Let m = -11.4 + 16. Let i = -4.61 + m. Let c = -0.09 + i. What is the second biggest value in -1/7, 3/4, c? c Let q = -37/690 + -1/30. Let i = -0.6239 + 0.68. Let s = i - 4.0561. What is the smallest value in s, 3/4, q? s Let y = 4517/1806 + -1/903. What is the third smallest value in 7, 3/4, y, 25? 7 Let l = -78 - -83. Let o = 2 - 0. Let w = 52/3 - 53/3. What is the second smallest value in 0.1, w, o, l? 0.1 Let d = 6196/19 + -326. Suppose 52*o - 11*o - 17*o = -48. What is the third smallest value in -1, o, d, 0.2? d Let y = 22.122 + -20.122. Which is the third smallest value? (a) 2/9 (b) -5 (c) -3/7 (d) y a Let y = 1.8 - 3.8. Let f = -266 + 230.1. Let x = f + 35.8. What is the smallest value in x, y, -4, 4? -4 Let n = -14 - -13.78. Let z = n + -0.08. Let g be (-6)/(-15) + 0*1/3. Which is the second biggest value? (a) z (b) 33 (c) g c Let o = 0.1 - 0.6. Let m be (-6 - 6) + 4 + 0. Let n be 3/m + 88/64. Which is the second smallest value? (a) n (b) o (c) -0.4 c Let t = 8.9 + -119.9. Let p = -110.76 - t. Which is the second smallest value? (a) p (b) -1 (c) -0.5 c Let o = 35948/7 - 5135. Which is the second smallest value? (a) 2/59 (b) 0.3 (c) o (d) -1 (e) -0.22 e Let g = -379/8 - -399/8. What is the third biggest value in g, 3, 1/4, 6, -0.05? g Let y = 4.1 - 161.1. Let l = -142 - y. Which is the smallest value? (a) l (b) 2/3 (c) -5 c Let s = -3.98 + 163.98. Let w = -159.973 + s. Which is the second biggest value? (a) -2/7 (b) 2 (c) w c Let i = 0.1 - 0.3. Let d = 6225 + -56023/9. Which is the smallest value? (a) d (b) i (c) -3/38 b Suppose 440 = -6*j - 14*j. Let u(l) = l + 23. Let s be u(j). Which is the third smallest value? (a) 4 (b) s (c) -2 (d) -1 b Let j = 17.7 + -17.8. Let w be (16/(-10))/(3 - (-42)/(-15)). Let u be (-1 + (-6)/w)/2. Which is the smallest value? (a) j (b) 2 (c) -5 (d) u c Let p = -63 - -87. Let m = 29 - p. What is the fourth smallest value in 0.4, -0.5, m, -0.3? m Let i = 540.4 + -540. Let f = 0.5 - 5.3. Let u = 5 + f. What is the smallest value in -2, i, 0, u? -2 Let h = -6310 + 6305. What is the fifth biggest value in 0.5, 4/7, -0.1, h, 3/2? h Let d(t) = -3*t**2 - 6*t + 139. Let m be d(6). What is the fourth smallest value in -0.4, 1/10, m, 5/6, 0? 1/10 Let k(g) = 27*g**2 - 149*g + 71. Let b be k(5). What is the second smallest value in 0, b, 5, -3.52? 0 Let w = 1.2768 + 2.7232. Which is the fourth smallest value? (a) -0.3 (b) -1/323 (c) w (d) 0.1 c Let h = -15.7 - -16.7. Let a = -26.97 - -27. Let j(q) = -q**2 + 5*q - 2. Let v be j(5). What is the smallest value in h, a, v? v Let m = -2.284 - -1.9. Let z = 0.184 + m. What is the third biggest value in z, 0.2, 3? z Let w be -18 - -17 - (0 + 310/(-224)). Let q = -3/16 - w. Let i = 0.04 + -0.01. What is the smallest value in i, q, -4? -4 Let k = 148655 + -1048045/7. Let f = 1064 + k. Which is the biggest value? (a) -3 (b) 2/9 (c) f (d) 0.5 d Let s be ((-8)/6)/(-2) - 1 - 4090/(-1227). Which is the biggest value? (a) s (b) -2.1 (c) -2 (d) -1/3 (e) 2/73 a Let k = -6.06535 - -0.06535. Which is the third biggest value? (a) -4 (b) -11 (c) k (d) -0.5 c Let x be 2/(-29) + (-12 - 12047/(-1015)). Which is the fourth biggest value? (a) 1 (b) 0.3 (c) x (d) 2 c Let i = -24048 + 23771. What is the fifth biggest value in 1/4, 0.3, i, 0.4, 1? i Let h = 5747/5148 + -3/572. Which is the third biggest value? (a) -35 (b) 0.3 (c) h a Let y = -5.4 - -6.4. Let f = y - 1.4. What is the fourth smallest value in -2, f, -0.3, 4? 4 Let y = -267.9 + 279. Let h = y + 4.9. Which is the third biggest value? (a) 0.01 (b) h (c) -2 (d) -1 d Let v(f) = 131*f - 11. Let n be v(1). Let q be n/297 - (-10)/(-55). Let w = -0.02 + 0. What is the third smallest value in 3, q, w? 3 Let o = -692 + 694. Suppose 0 = o*l - 8. Which is the third smallest value? (a) l (b) 1 (c) 89 c Let b = 58 + -32. Let x = b - -27. What is the smallest value in 2/5, 0.1, 1/9, x? 0.1 Let t = 2.609 + -3.009. Which is the second smallest value? (a) 2496 (b) 4 (c) t b Let x be (-33)/231*(-35)/(-10). What is the biggest value in -2.6, -5, 5, x, 0? 5 Let v be (-3)/(-6) - 1 - 1. Let i be (-93)/156 - (-93)/124. Which is the smallest value? (a) 2 (b) v (c) -2/11 (d) i b Let y = 4.97696 + 0.02304. What is the fifth smallest value in -5, -2/41, y, -0.1, 3? y Let q = 5.75 - 5.9. Let d = 1.85 - q. Let t = -3.1 - -3.7. Which is the biggest value? (a) -2 (b) d (c) t b Suppose 2*p - 3*f = 15, p - 2*p - 3*f - 6 = 0. Let q(b) = 368 - 368 - p*b. Let v be q(1). What is the smallest value in -0.5, -0.1, v, 4? v Let x = 371 - 413. Which is the smallest value? (a) 12 (b) x (c) -0.5 b Let r = 97.39 + -97.39. What is the third smallest value in -2/11, r, 2/5, 0.2, 12? 0.2 Let x be (-13)/5 - 6/15. Let w be (-3 - ((-14)/119 + 53/17)) + 1. Which is the biggest value? (a) x (b) -2/7 (c) 0 (d) w c Let o(d) = -3*d**2 + 2*d - 2. Let z be o(4). Let u be ((-3)/z*-1)/(-1). What is the biggest value in 0.4, u, -0.1? 0.4 Suppose -3*d - 8 = -4*i, -i + 4*i - 1 = d. Let h be 51/(-51) - -1*(-24)/(-18). What is the biggest value in d, h, -2/11, -24? h Let k be 0*(-1)/3*1. Let u be ((-34)/20 + 2)/3. Let t = 293 - 295. What is the smallest value in u, -3, t, k? -3 Let p(k) = k**3 - 26*k**2 + 2*k - 49. Let v be p(26). Suppose z = -o + 130, 391 = -0*o + v*o + 4*z. What is the biggest value in o, 0.4, -5/6? o Let l = 46.77 + -45.77. What is the second smallest value in -3/11, 66, l? l Let c be 298/(-14) - (154 - 175). Let k = 59 - 92. What is the second smallest value in -6/11, k, c? -6/11 Let w = -0.11285 - -3.11285. What is the second smallest value in -93, -0.05, w? -0.05 Let k be 1/419*(35 + (-61 - -29)). What is the biggest value in -1, k, 1? 1 Let n = 8.86 - -0.14. Let i = 3368 + -3368.2. Which is the second smallest value? (a) 1/5 (b) i (c) n a Suppose -6*s - 35 = -34 -
{ "pile_set_name": "DM Mathematics" }
common divisor of 986 and 1036518? 58 What is the greatest common factor of 32 and 24336? 16 What is the highest common divisor of 244 and 977708? 244 What is the highest common factor of 1314373 and 5679? 631 Calculate the highest common factor of 1215 and 207045. 45 Calculate the greatest common factor of 3090645 and 45. 45 Calculate the greatest common divisor of 358 and 4475. 179 Calculate the greatest common divisor of 375 and 2730. 15 What is the highest common factor of 372 and 57102? 186 What is the highest common divisor of 21801 and 2613? 39 What is the highest common divisor of 31784 and 1392? 232 Calculate the greatest common divisor of 4023 and 54. 27 What is the highest common factor of 40 and 5068? 4 Calculate the greatest common factor of 166 and 7141154. 166 Calculate the highest common divisor of 480 and 35460. 60 What is the highest common factor of 23200 and 96? 32 What is the highest common factor of 126965 and 1005? 335 Calculate the highest common factor of 580 and 9740. 20 Calculate the highest common divisor of 143 and 59642. 11 Calculate the highest common divisor of 1840 and 1741100. 460 Calculate the highest common factor of 10829 and 728. 91 What is the greatest common divisor of 1776 and 9232? 16 What is the highest common factor of 5342371 and 529? 529 What is the highest common factor of 1006 and 231883? 503 Calculate the highest common factor of 10 and 130420. 10 What is the greatest common divisor of 17880 and 82680? 120 Calculate the greatest common factor of 915 and 156099. 183 What is the greatest common divisor of 280 and 1885450? 70 What is the highest common factor of 140901 and 13467? 201 Calculate the greatest common divisor of 32 and 661. 1 What is the highest common factor of 2440612 and 2649? 883 What is the greatest common divisor of 150 and 30575? 25 What is the highest common factor of 2991 and 219? 3 What is the highest common factor of 4612 and 1268? 4 What is the highest common factor of 709634 and 398? 398 Calculate the highest common divisor of 415 and 28180. 5 What is the greatest common divisor of 1403 and 7165121? 1403 Calculate the highest common factor of 12330 and 5440. 10 What is the highest common factor of 163 and 550288? 163 What is the greatest common factor of 5845 and 1610? 35 What is the greatest common factor of 51 and 2535? 3 Calculate the greatest common divisor of 382 and 701161. 191 Calculate the greatest common divisor of 370064 and 606. 202 Calculate the greatest common factor of 259 and 20017. 37 What is the greatest common divisor of 1292 and 19456? 76 What is the highest common factor of 6972 and 112? 28 Calculate the highest common factor of 20695 and 120. 5 What is the greatest common factor of 247416 and 11661? 507 What is the greatest common divisor of 1264011 and 483? 483 Calculate the greatest common factor of 10945 and 110. 55 What is the greatest common divisor of 21460 and 5772? 148 Calculate the highest common divisor of 67894 and 127608. 818 Calculate the greatest common factor of 5057446 and 719. 719 Calculate the highest common divisor of 128723 and 518. 259 What is the greatest common divisor of 10033 and 1501? 79 Calculate the greatest common divisor of 2796 and 84. 12 Calculate the greatest common factor of 805 and 34155. 115 Calculate the highest common divisor of 47200 and 8. 8 What is the greatest common divisor of 25358 and 1860? 62 What is the greatest common factor of 150 and 95250? 150 Calculate the greatest common divisor of 148 and 473415. 37 Calculate the highest common divisor of 12351 and 345. 69 What is the highest common divisor of 1600 and 34900? 100 What is the greatest common factor of 225 and 1918350? 225 Calculate the highest common divisor of 7518 and 56. 14 Calculate the greatest common factor of 237 and 18407. 79 Calculate the highest common divisor of 22743 and 26733. 399 Calculate the greatest common factor of 1360 and 13940. 340 Calculate the greatest common divisor of 528 and 10944. 48 Calculate the greatest common factor of 46 and 6428638. 46 Calculate the highest common factor of 200301 and 3357. 1119 What is the highest common divisor of 10969 and 56? 7 What is the greatest common divisor of 2090900 and 1827? 203 What is the highest common divisor of 69357 and 10612? 379 What is the greatest common factor of 61346 and 703? 37 Calculate the greatest common divisor of 18602 and 101132. 262 Calculate the highest common factor of 116259 and 7317. 813 What is the greatest common divisor of 8322 and 570? 114 What is the highest common divisor of 3005 and 114791? 601 What is the greatest common factor of 14 and 899738? 14 Calculate the greatest common divisor of 17 and 7463. 17 What is the highest common factor of 6 and 1966? 2 Calculate the highest common divisor of 150 and 118725. 75 What is the highest common factor of 1593 and 183708? 27 Calculate the greatest common factor of 369474 and 399. 399 What is the highest common divisor of 801181 and 41? 41 What is the highest common factor of 1388864 and 64? 64 What is the greatest common divisor of 2688 and 35672? 56 What is the greatest common divisor of 4100 and 40000? 100 Calculate the highest common factor of 1786589 and 361. 361 What is the greatest common factor of 11656 and 32524? 188 Calculate the highest common factor of 36 and 22296. 12 What is the highest common factor of 333291 and 8319? 177 Calculate the highest common divisor of 14981 and 639. 71 What is the greatest common factor of 5004 and 444939? 417 Calculate the greatest common factor of 72 and 478692. 36 What is the greatest common factor of 283 and 2253529? 283 Calculate the highest common factor of 2636 and 585851. 659 What is the highest common divisor of 11 and 62887? 11 What is the highest common factor of 146530 and 10? 10 What is the highest common divisor of 352 and 2272? 32 Calculate the greatest common factor of 137916 and 216. 108 What is the highest common divisor of 389650 and 350? 50 Calculate the greatest common divisor of 114933 and 546. 273 What is the greatest common factor of 5926294 and 22? 22 Calculate the greatest common factor of 33561 and 44. 11 Calculate the highest common divisor of 21 and 3360. 21 What is the greatest common divisor of 13624117 and 13? 13 Calculate the highest common divisor of 14060 and 570. 190 Calculate the greatest common divisor of 2180 and 540. 20 Calculate the highest common divisor of 18 and 460602. 18 What is the greatest common divisor of 6222 and 5490? 366 Calculate the highest common divisor of 204 and 88140. 12 Calculate the greatest common divisor of 63174 and 138. 6 What is the greatest common factor of 174 and 73266? 6 What is the highest common factor of 8294 and 58630? 286 Calculate the greatest common factor of 2640285 and 1035. 1035 Calculate the highest common factor of 196896 and 112. 112 Calculate the highest common divisor of 15 and 176825. 5 What is the highest common factor of 917 and 9? 1 What is the highest common divisor of 438753 and 21? 21 What is the highest common factor of 151311 and 186? 93 Calculate the greatest common divisor of 610 and 79544. 122 What is the greatest common divisor of 18 and 12645? 9 What is the greatest common divisor of 30841 and 16? 1 Calculate the highest common factor of 2464 and 2541. 77 Calculate the greatest common divisor of 9331 and 86. 43 What is the greatest common divisor of 11488 and 3968? 32 What is the greatest common divisor of 2750 and 3377? 11 Calculate the greatest common divisor of 195 and 6305. 65 What is the greatest common divisor of 312 and 14547? 39 What is the greatest common factor of 256 and 1098624? 128 What is the highest common factor of 768426 and 623? 89 Calculate the greatest common factor of 840 and 59080. 280 What is the highest common divisor of 755 and 95? 5 What is the greatest common factor of 6670 and 390? 10 Calculate the highest common factor of 198 and 249436. 22 What is the greatest common divisor of 247 and 2413? 19 Calculate the highest common divisor of 301 and 25277. 7 Calculate the highest common divisor of 980 and 1610875. 245 Calculate the greatest common factor of 93870 and 70. 70 Calculate the greatest common divisor of 13 and 1181453. 13 What is the hig
{ "pile_set_name": "DM Mathematics" }
+ a**2 to f + j*a**4 + b*a + w*a**2 + g*a**3 and give w. 1 Rearrange -4*y + 2*y + 0*y + (-1 + 2 + 0)*(-y - 2*y + 2*y) - 9*y + y + 0*y to the form v + c*y and give c. -11 Rearrange 17 + 3*o + 5*o**3 + 20 - 36 to the form z*o**2 + p*o + j + t*o**3 and give t. 5 Rearrange -5*f**4 + f + 2*f**4 - 6*f**4 + 5*f**4 + f**2 to z*f + j*f**4 + v*f**3 + n + k*f**2 and give v. 0 Rearrange (-2 + 0 + 0 - 5 + 2 + 5 + (2 + 3 - 4)*(3 + 0 + 0))*(2*u**2 - u**2 + 0*u**2)*(u + 4*u + 0*u) to l + w*u**2 + c*u**3 + p*u and give l. 0 Express (1 - 1 + 2)*(-4*o - 3*o**2 + 4*o) + (0 - 5 + 3)*(3*o**2 - 6*o + 6*o)*(0 + 8 + 3) in the form n + r*o**2 + v*o and give r. -72 Rearrange 30*c - 14*c + 0*c**2 - 3*c**2 to the form r*c + m*c**2 + y and give r. 16 Express -28*k**3 + 13*k**3 + 13*k**3 + k - 3*k**4 + k**2 in the form v + m*k**2 + w*k**4 + o*k**3 + a*k and give o. -2 Rearrange (3*t**2 - t - 2*t + t)*(3*t - t - 5*t) to a*t**3 + h*t**2 + q + y*t and give h. 6 Express -2*f + 3*f - f - 5*f in the form i + y*f and give i. 0 Express 3*y**4 + y**3 - 4*y**3 + 5*y**4 - 4*y**4 + y as z + q*y**3 + b*y**4 + c*y + j*y**2 and give q. -3 Express -2*w**3 + 3*w**3 + 0*w**3 - 4*w + w**3 + 4*w + (-2*w**2 - w**2 + 4*w**2)*(0 + w + 0) in the form q*w**3 + p*w + d + o*w**2 and give q. 3 Express -19*s - 4*s**2 - 23*s + 35*s in the form g*s**2 + p*s + i and give g. -4 Express 2*l - 38*l - 31*l as d*l + c and give d. -67 Rearrange 4 + 2*r - 4 + 2*r**3 + r**4 - 5*r**2 - 3*r**4 to i*r**2 + o*r + c*r**4 + d*r**3 + k and give i. -5 Express (0*v + 2*v - v)*(-7*v + 0*v - 13*v)*(1 - 5 + 1) as i*v**2 + x*v + z and give i. 60 Express 4 + 2*t**2 + 5 + 9 as y + a*t + c*t**2 and give y. 18 Express d**2 + 4*d - 4*d in the form r*d + a + s*d**2 and give a. 0 Rearrange 10*v**3 + 4*v - 2 - 3*v - v to c*v**2 + r*v**3 + h*v + d and give r. 10 Express 2*m**2 + 5*m + 0 + m**2 + 0 as a*m + q*m**2 + o and give q. 3 Express (-6*h + 4*h**3 - 2*h**3 - 2*h**2 + 8*h)*(h + 2 - 11*h + 25*h) in the form c*h + j*h**2 + q*h**3 + z + k*h**4 and give j. 26 Express (f - 2*f - 4 + 7)*(-2 + 2*f + 2) in the form g*f + u*f**2 + x and give u. -2 Rearrange 47 + 2*j + 47 - 88 to q*j + o and give q. 2 Express 9*m**3 - m**3 + 5*m**3 + 5*m**3 + 1 as q*m**2 + l*m**3 + w + h*m and give q. 0 Express -64*q**2 + 17*q**2 - 47*q**2 + 17*q**2 in the form w*q + r + u*q**2 and give u. -77 Rearrange 21*t**4 + t + 1 + 1 - 25*t**4 - 4 to p*t**3 + b*t**2 + o*t + c + a*t**4 and give a. -4 Express 4 - 4 - 13*g + 33*g as t*g + l and give t. 20 Express -345*v**2 + 10*v - v**4 + 1 + 171*v**2 + 172*v**2 + 1 in the form w*v**4 + i*v**3 + c*v**2 + h + b*v and give h. 2 Express -50*q - 52*q - 21*q in the form x + z*q and give z. -123 Rearrange -g + 1076 + 2*g**4 - 1076 + 2*g**3 + 2*g**2 to o + i*g**2 + k*g + q*g**3 + n*g**4 and give n. 2 Rearrange -257 + 18*i + 257 to y + j*i and give j. 18 Express -1 - 2*h + 1 + (-4 - 3 + 6)*(3*h - 2*h - 2*h) + 4*h - 4*h + h + (-3 + 2*h + 3)*(-1 + 5 - 2) in the form c + s*h and give s. 4 Express 14*h + 17*h - 8*h in the form d*h + u and give d. 23 Express (4 + 2 - 4)*(n**3 + 2*n**4 - n**3) - 5*n**4 + 2*n**4 + n**4 - n + n**2 + 4*n + n - n**4 as z*n + o*n**4 + q*n**3 + l*n**2 + m and give o. 1 Rearrange (2 + 2 - 5)*(-29*i**3 - 85 + 85) to j*i**3 + f*i + n + b*i**2 and give j. 29 Express c**3 + c + 0*c - c**2 - 4*c - 2 + 3*c**4 as z + v*c**4 + s*c**2 + i*c**3 + a*c and give v. 3 Express (-4*l**2 - 2*l**2 + 5*l**2)*(16 - 38 + 24 - 61*l) as r*l + z + s*l**2 + c*l**3 and give c. 61 Rearrange -20*g**4 - 2*g + 31*g**4 + 32*g**3 - 13*g**4 to the form f*g**3 + k*g**2 + m*g + a + b*g**4 and give m. -2 Express 0*h**4 + 2 - 4 - 5*h - 2*h**4 in the form p + x*h + q*h**4 + s*h**2 + d*h**3 and give p. -2 Rearrange (-7 + 7 + 2*n**2)*(-2*n + 1 - 1) - 3*n**2 + 3*n**2 - n**3 to the form w*n**2 + p*n + t + o*n**3 and give p. 0 Rearrange 117*m**3 - 2*m + 1 - 120*m**3 + m**2 - 3*m**2 + 10*m**4 to the form s*m**4 + n*m + h*m**3 + a + y*m**2 and give n. -2 Express -10 + k + 10 + (0 + 42 - 2)*(4*k - 3*k - 3*k) as b*k + g and give b. -79 Rearrange k**2 - k**3 - 40*k - 10*k**3 + 40*k to the form n + g*k + a*k**3 + v*k**2 and give a. -11 Rearrange (-1 + 1 - k)*(-5*k**3 + k**3 + 3*k**3) + k**2 + k**2 + 11*k**4 - k**4 to o*k**2 + m + n*k**3 + r*k + d*k**4 and give o. 2 Express (4 + 4 - 6)*(22 - 4 + 28)*(0*z - z - z) as h*z + r and give h. -184 Rearrange (-8 + 8 + 6*t + (4*t - 2*t - t)*(0 - 1 + 4))*(2 - 1 + 1) to b + x*t and give x. 18 Express -3*q**3 - q**3 - 3 - 4*q - 6*q**2 + 2*q - 2*q**4 + 7*q**3 as t*q**2 + u*q**3 + i + k*q + n*q**4 and give n. -2 Express (0*s**2 - 12*s + 14*s + 2*s**2)*(-2 + 2 + 5*s**2) in the form u*s**2 + q*s**4 + v + y*s + j*s**3 and give q. 10 Rearrange 2*r + 1 + 4*r**3 + 1106*r**2 - 1106*r**2 to s + d*r**2 + z*r + t*r**3 and give t. 4 Express (0*j + j + j)*(-4 + 4 + j**2) - 13*j - 12*j**3 + 13*j + 42*j**3 - 26*j**3 - 20*j**3 - 2*j**2 as v*j + i + o*j**3 + l*j**2 and give o. -14 Rearrange -2 + 27*h**2 + 25*h**2 + 10*h - 46*h**2 to the form w*h + k*h**2 + b and give k. 6 Rearrange -v + 7*v**2 + 8*v**2 - 2*v**4 + 4*v - 6*v**2 - 1 to p*v**4 + w*v + d*v**2 + b + h*v**3 and give b. -1 Express -743*r + 740*r - 4 + 2 in the form x*r + z and give x. -3 Express -12*s**3 + 7*s**2 - s**2 + 2*s - 6*s**2 in the form y + w*s**3 + a*s**2 + i*s and give w. -12 Express (-4*x - x - 2 + x)*(2 - 1 - 2) as r + w*x and give r. 2 Express (0 - 1 - 1)*(-3*m + 0*m + m) + 0 + 0 - m - 55*m - 13 - 11 + 26 in the form j + l*m and give j. 2 Express (20*y - 59 + 59)*(-3 + 0 + 0 + 2*y**2) in the form d*y**2 + s + b*y + a*y**3 and give d. 0 Rearrange 2 - 2*m**3 - 2*m**2 + 3 + 8 - 16 - 2*m**4 to k*m + q + h*m**2 + l*m**4 + a*m**3 and give q. -3 Rearrange -2 + l - 3*l + 2 to c + g*l and give g. -2 Express ((3 - 5 + 0)*(-5*q + q + 3*q) - 2*q + 7*q - 3*q)*(-16 - 5 + 1) in the form g*q + h and give g. -80 Rearrange 113*x - 689 + 689 to f + j*x and give j. 113 Rearrange -129 + 29*r + 129 + 97*r to o*r + j and give o. 126 Express (2*v - 2*v + 2*v)*(6 - 3 + 3) as n*v + i and give n. 12 Express ((k**2 - 2*k**2 + 2*k**2)*(1 - 1 + 2*k) - k**3 + 3*k**2 - 3*k**2 - 3*k**3 + 0*k**3 + k**3)*(8 - 15 - 12) as y*k + q + l*k**3 + w*k**2 and give l. 19 Rearrange 3*g**3 - 6*g**3 + 2*g**3 + (2*g**2 - 3*g**2 + 0*g**2)*(-5*g + 6*g - 4*g) + 5*g**3 + 6*g**3 - 10*g**3 to h + s*g**3 + a*g**2 + f*g and give s. 3 Rearrange (6*x - 2*x + x)*(-2 - 1 + 0)*(-x + 4*x - 6*x) to p*x**2 + g + m*x and give p. 45 Express 3*x**4 - 2*x**4 + 2*x**4 + (11*x - 6*x + 10*x)*(-x**2 + x**2 - 2*x**3) in the form w + y*x**3 + a*x**2 + u*x**4 + k*x and give u. -27 Express -12 - 21*u**3 + 20*u**3 + 2*u - 1 as x + a*u**3 + g*u**2 + v*u and give a. -1 Rearrange (-3 + 3 - 2*u)*(-2*u**2 + 2 - 2) - 3*u**3 + 14*u**3 - 4*u**3 - u**3 + 4*u**3 - 2*u**3 to the form g + s*u**3 + d*u + m*u**2 and give s. 12 Rearrange -v - v + v + (-3 + 1 + 4)*(v + 1 - 1) - v + 2*v + 0*v + (6 - 5 - 3)*(0 - 2*v + 0) + 0 - 3*v + 0 to the form j*v + n and give j. 3 Express -13 - 13 - 4*w**2 + 10 + 2*w**2 in the form j + v*w**2 + i*w and give v. -2 Express 7*s + 0*s + 7*s as d*s + l and give d. 14 Rearrange 0 - 19*b - 3 + 5 + 7*b to z + k*b and give z. 2 Rearrange 2 - 2*y**4 - 7 + 6 - y to the form g*y**2 + s + l*y + c*y**4 + f*y**3 and give l. -1 Express 0*a**4 - 8*a**4 + 3*a + 5*a**4 - 2*a**2 + 4*a**4 - 10*a**3 as q*a**4 + v*a + b*a**2 + d + w*a**3 and give b. -2 Rearrange (-130 + 130 - 48*o**2)*(2 - 4 + 4) to the form x*o + b + p*o**2 and give p. -96 Express (2 + 0 + 0)*(84 - 2*y - 3*y**2 - 90 - 5*y**2) as m*y + z*y**2 + a and give a. -12 Express a**2 + 2*a - 2*a + (-8 + 8 + 3*a)*(-2 - a + 2) - 2*a - 2*a**2 + 2*a in the form b + z*a**2 + j*a and give z. -4 Express 66*a + 34 - 34 as w + t*a and give t. 66 Rearrange -9*u + 6*u + 8*u to o*u + f and give o. 5 Express (-2*w + 11*w**2 + 2*w)*(-2 + 1 + 0)*(-3*w**2 - 3*w**2 + 5*w**2) as y*w**2 + p*w**3 + t*w + g*w**4 + s and give t. 0 Rearrange (1 - 2 + 2)*(22*m + 21 - 22*m + m**2) to the form o*m**2 + d*m + r and give o. 1 Express (-2*y + 2*y + y**2)*(y - 1 + 1) + (y**2 + 4*y**2 - 4*y**2)*(1 + 1 - 4)*(17*y - 634 + 634) as u*y**3 + d + w*y + m*y**2 and give m. 0 Rearrange -g**4 + g - g + (-3*g**3 + 5*g**3 - 13*g**3)*(0*g + 3*g - g) to the form k*g**4 + h*g**2 + i + o*g + d*g**3 and give k. -23 Rearrange
{ "pile_set_name": "DM Mathematics" }
xt: 416723, 833413, 1250103? 1666793 What is the next term in -1312, -5554, -12722, -22816? -35836 What is next in -94, -1060, -3874, -9520, -18982, -33244, -53290? -80104 What is the next term in -370, -415, -206, 257, 974? 1945 What is the next term in -36481, -36557, -36685, -36865, -37097? -37381 What is next in 7071, 13814, 20579, 27378, 34223, 41126? 48099 What is the next term in 185704, 742798, 1671286, 2971168, 4642444? 6685114 What comes next: 161, -204, -1089, -2494, -4419? -6864 What comes next: -462, -2270, -6780, -15342, -29306, -50022? -78840 What comes next: 2855, 4861, 6895, 8963, 11071, 13225, 15431, 17695? 20023 What is next in 325509932, 325509931, 325509930, 325509929, 325509928, 325509927? 325509926 What is next in -9522862, -9522864, -9522866, -9522868, -9522870? -9522872 What comes next: 31648, 62963, 93942, 124585, 154892, 184863, 214498? 243797 What is next in -195252, -193073, -190894, -188715, -186536? -184357 What comes next: -2893, -11686, -26393, -47056, -73717? -106418 What comes next: 219879, 439656, 659433, 879210, 1098987? 1318764 What comes next: 21418714, 42837434, 64256154, 85674874, 107093594? 128512314 What comes next: 4419, 18775, 43077, 77325, 121519, 175659, 239745? 313777 What is the next term in -86479, -86644, -86809? -86974 What is the next term in -1996, -1996, -1970, -1906, -1792, -1616, -1366? -1030 What is the next term in 80630, 79861, 79092? 78323 What comes next: 2692, 22272, 75416, 178906, 349524? 604052 What is next in -135762330, -271524664, -407287008, -543049368, -678811750, -814574160, -950336604, -1086099088? -1221861618 What is next in -1097, -3898, -8565, -15098? -23497 What comes next: -75029270, -150058543, -225087816? -300117089 What comes next: -462673, -1850682, -4164037, -7402744, -11566809? -16656238 What is the next term in -1812, -6833, -15124, -26685, -41516, -59617? -80988 What is the next term in 24150, 22762, 20450, 17214, 13054, 7970, 1962? -4970 What is next in 4354583, 4354621, 4354685, 4354775, 4354891, 4355033? 4355201 What is next in 18478, 37102, 55726, 74350, 92974, 111598? 130222 What comes next: 9052, 17767, 26122, 34117? 41752 What comes next: -36594, -36741, -36980, -37311, -37734? -38249 What is next in -898, -1625, -2096, -2167, -1694, -533, 1460? 4429 What is next in -26599, -27142, -28049, -29320? -30955 What comes next: -16935, -68509, -154463, -274797, -429511, -618605? -842079 What comes next: 15147, 15200, 15285, 15396, 15527, 15672? 15825 What comes next: 582, -7295, -15172, -23049, -30926, -38803? -46680 What is the next term in 1136142, 2272275, 3408408, 4544541, 5680674? 6816807 What comes next: 12538, 18953, 25368, 31783? 38198 What is next in -370917, -371448, -371979? -372510 What is next in -2078, -4212, -6320, -8348, -10242? -11948 What is the next term in 515, 47, -673, -1771, -3373, -5605, -8593, -12463? -17341 What is the next term in 114945, 229108, 343267, 457422? 571573 What comes next: -5429, -10053, -13871, -16883? -19089 What is the next term in -281316, -2250574, -7595710, -18004662, -35165368, -60765766, -96493794? -144037390 What is the next term in 1398, 191, -1820, -4635, -8254, -12677, -17904? -23935 What is next in 9211431, 9211426, 9211417, 9211404, 9211387, 9211366, 9211341? 9211312 What is next in -13463803, -13463798, -13463793? -13463788 What comes next: 22456, 45247, 68358, 91783, 115516? 139551 What is the next term in -2889, -11733, -26493, -47169, -73761, -106269? -144693 What comes next: 8689, 13949, 19199, 24433, 29645, 34829? 39979 What comes next: 8755, 17532, 26315, 35104, 43899, 52700, 61507? 70320 What is the next term in -33311764, -66623504, -99935244, -133246984, -166558724? -199870464 What is next in 14188, 14270, 14342, 14404? 14456 What comes next: -53906, -216357, -487110, -866165, -1353522, -1949181? -2653142 What comes next: 25933, 26189, 26651, 27319? 28193 What is next in 1023, 893, 635, 213, -409, -1267, -2397, -3835? -5617 What is next in -8888, -14795, -20702, -26609, -32516? -38423 What is the next term in -950027, -3800086, -8550175, -15200288, -23750419, -34200562, -46550711? -60800860 What comes next: -70687, -70625, -70559, -70489, -70415, -70337? -70255 What comes next: -539, -3627, -11467, -26261, -50211? -85519 What is next in -6768, -6114, -5532, -5022, -4584? -4218 What is the next term in 607, 1876, 3789, 6346, 9547, 13392, 17881? 23014 What is the next term in -48127913, -48127914, -48127917, -48127922? -48127929 What is next in -25279, -25542, -25805? -26068 What is next in 150, -445, -1776, -3843, -6646? -10185 What comes next: 332348, 665218, 998088, 1330958, 1663828? 1996698 What is next in 623305, 2493252, 5609829, 9973036, 15582873? 22439340 What is the next term in 620767, 620762, 620743, 620704, 620639? 620542 What is the next term in 65563, 261325, 587581, 1044319, 1631527, 2349193? 3197305 What is the next term in 1619, 3152, 4531, 5678, 6515, 6964, 6947, 6386? 5203 What is the next term in -18347, -36896, -55445, -73994? -92543 What is next in 2307, 4599, 6891, 9183, 11475? 13767 What comes next: -3381618, -3381587, -3381556? -3381525 What comes next: 1561, 1617, 1713, 1849? 2025 What is next in 218938, 875730, 1970376, 3502876, 5473230, 7881438, 10727500? 14011416 What is the next term in -531795, -531804, -531817, -531834? -531855 What is next in 1775773, 3551501, 5327229, 7102957? 8878685 What comes next: -121800, -122240, -122680? -123120 What comes next: -1111087, -1111084, -1111081, -1111078, -1111075, -1111072? -1111069 What comes next: 236198, 473856, 711514? 949172 What is next in 9904, 21924, 41944, 69958, 105960, 149944, 201904, 261834? 329728 What is the next term in -150, -552, -1334, -2604, -4470, -7040, -10422? -14724 What comes next: -86407, -172826, -259241, -345652? -432059 What comes next: 279666, 279284, 278648, 277758, 276614? 275216 What comes next: -20587, -82228, -184931, -328702, -513547? -739472 What is the next term in -47757, -95624, -143491, -191358, -239225, -287092? -334959 What comes next: -12898, -103387, -348918, -827011, -1615186? -2790963 What is next in 6237, 16617, 31183, 49935, 72873, 99997? 131307 What is next in 857631, 857629, 857629, 857631? 857635 What is the next term in 1813788, 7255150, 16324084, 29020590? 45344668 What is next in 209, 3025, 10965, 26591, 52465, 91149? 145205 What comes next: -26317, -26847, -27391, -27949? -28521 What is next in -9017, -36051, -81089, -144125, -225153, -324167? -441161 What comes next: -1025856, -1025837, -1025804, -1025757, -1025696, -1025621? -1025532 What comes next: 12114, 48527, 109212, 194169, 303398, 436899, 594672? 776717 What is next in 394044, 394008, 393972? 393936 What comes next: 2683, 1839, 435, -1523, -4029, -7077? -10661 What is the next term in 32764415, 32764413, 32764411, 32764409? 32764407 What is the next term in -1753, -6955, -15615, -27733, -43309, -62343? -84835 What comes next: 26297, 214156, 724061, 1717034, 3354097? 5796272 What is next in -7319, -14158, -20997, -27836, -34675, -41514? -48353 What is the next term in -10808, -8010, -5212? -2414 What is the next term in 42604, 48249, 53894? 59539 What is next in 4891247, 19565067, 44021435, 78260351? 122281815 What is next in -2823, -21537, -71901, -169605, -330339? -569793 What is next in 55095, 220445, 496125, 882213, 1378787, 1985925? 2703705 What is the next term in 119, -579, -2871, -7549, -15405, -27231, -43819? -65961 What is the next term in -16334, -16335, -16416, -16643, -17082, -17799, -18860, -20331? -22278 What comes next: 736077, 736044, 736011, 735978, 735945, 735912? 735879 What is next in -500018, -2000071, -4500162, -8000291? -12500458 What is next in -819377, -819376, -819375? -819374 What is next in -31949, -255651, -862817, -2045171, -3994437, -6902339, -10960601, -16360947? -23295101 What comes next: -65670, -525067, -1771854, -4199727, -8202382? -14173515 What comes next: 281891900, 563783801, 845675702? 1127567603 What is next in 3063, 6103, 9187, 12309, 15463, 18643, 21843? 25057 What is the next term in 863, 828, 777, 704, 603? 468 What comes next: 1525, 6830, 15745, 28264, 44381? 64090 What is the next term in 1906945, 1906943, 1906941? 1906939 What comes next: -159728, -158678, -15762
{ "pile_set_name": "DM Mathematics" }
te p(16). 47 Let x(p) = p**3 + 14*p**2 + 6*p - 6. What is x(-14)? -90 Let x(u) = u**3 - 3*u**2 - 45*u + 41. Calculate x(8). 1 Let s(n) = -189*n - 2648. What is s(-14)? -2 Let y(r) = 10*r**2 + 1264*r - 787. Determine y(-127). -25 Let b(l) = 64*l - 2725. What is b(43)? 27 Let b(v) = -524*v**2 + 4*v - 8. Calculate b(1). -528 Let h(x) = x**2 + 189*x + 980. Determine h(-5). 60 Let a(p) = p**3 + 2*p**2 - 187*p - 81. Calculate a(13). 23 Let j(u) = 34*u**2 + 39*u + 1. Give j(-2). 59 Let l(n) = -731*n - 15329. Give l(-21). 22 Let b(o) = -4*o**3 + 177*o**2 - 50*o + 280. Calculate b(44). 16 Let n(k) = -5892*k - 5921. Give n(-1). -29 Let r(a) = -43*a - 227. Calculate r(-6). 31 Let v(q) = 12*q**2 + 73*q - 364. What is v(5)? 301 Let k(r) = -r**3 + 74*r**2 - 279*r - 70. Give k(70). 0 Let y(v) = -33*v**2 + 318*v + 48. What is y(10)? -72 Let w(c) = -3*c**2 + 4*c + 4. What is w(9)? -203 Let v(g) = -1727*g - 12088. Calculate v(-7). 1 Let d(x) = -482*x**2 - 5301*x + 22. Give d(-11). 11 Let p(r) = 24*r - 1002. Calculate p(40). -42 Let b(s) = s**3 + 25*s**2 - 56*s + 57. What is b(-27)? 111 Let f(n) = 5*n**2 + 42*n + 3. What is f(-10)? 83 Let g(k) = -2*k**2 - 1502*k + 7523. What is g(5)? -37 Let o(v) = v**2 - 14*v - 919. Calculate o(-24). -7 Let l(n) = 4573*n + 27424. Calculate l(-6). -14 Let s(r) = 7*r - 35. Give s(6). 7 Let f(r) = r**3 + 26*r**2 - 19*r + 223. Calculate f(-27). 7 Let n(l) = -35*l**2 - 243*l + 18. Determine n(-7). 4 Let z(c) = 8*c**2 - 152*c - 579. Determine z(-4). 157 Let j(p) = p**3 + 12*p**2 - 9*p - 297. What is j(-10)? -7 Let m(b) = -290*b - 51028. Give m(-176). 12 Let t(f) = -2*f**3 - 10*f**2 - 77*f - 197. Calculate t(-3). -2 Let v(t) = 43*t - 475. What is v(12)? 41 Let b(m) = -3*m**3 + 27*m**2 - 3*m + 60. What is b(9)? 33 Let d(q) = 66*q**2 + 594*q - 4. Determine d(-9). -4 Let b(p) = -4*p**3 - 315*p**2 - 239*p - 393. Give b(-78). -3 Let j(i) = 2*i**2 - 142*i + 36. Determine j(71). 36 Let s(h) = -84*h - 7. Calculate s(2). -175 Let t(l) = -12*l + 93. Determine t(8). -3 Let t(n) = -5316*n - 489065. Calculate t(-92). 7 Let m(s) = -77*s + 6246. What is m(81)? 9 Let s(h) = -18*h**2 - 20*h + 15. Determine s(5). -535 Let w(v) = v**3 + 27*v**2 + 10*v - 261. Calculate w(-26). 155 Let w(t) = -2*t**2 - 35*t + 1508. Give w(20). 8 Let s(u) = -197*u - 910. What is s(-4)? -122 Let q(s) = -s**3 + 31*s**2 - 226*s + 259. Determine q(21). -77 Let m(w) = w**3 + 7*w**2 - 64*w - 109. Calculate m(6). -25 Let z(m) = 156*m**2 - 44*m - 44. Calculate z(-1). 156 Let s(i) = -3*i**3 - 11*i**2 + 132*i - 23. Calculate s(7). -667 Let v(w) = -2*w**3 + 42*w**2 + 19*w + 258. What is v(22)? -292 Let m(h) = -h**3 + 51*h + 7. Give m(-7). -7 Let r(g) = g**2 - 21*g - 227. What is r(32)? 125 Let l(i) = -357*i + 2719. Calculate l(8). -137 Let g(j) = -164*j + 3512. Give g(22). -96 Let m(l) = 2*l**3 + 26*l**2 + 6*l + 31. Calculate m(-13). -47 Let r(v) = -13*v + 19. Determine r(14). -163 Let t(h) = 139*h - 3791. Calculate t(27). -38 Let f(t) = 43*t + 660. Give f(-14). 58 Let p(r) = -55*r + 1207. Determine p(20). 107 Let l(m) = m**3 + 2*m**2 - 14*m - 11. Give l(4). 29 Let w(t) = -5*t**2 + 8*t + 51. Determine w(-10). -529 Let c(o) = o**3 - 20*o**2 + 47*o - 70. Determine c(18). 128 Let p(x) = x**2 + 9. Calculate p(6). 45 Let c(u) = 37*u - 2403. Determine c(63). -72 Let t(n) = 3*n**2 - 225*n - 238. Determine t(76). -10 Let s(j) = -36*j - 878. Give s(-24). -14 Let j(k) = 19*k - 125. Determine j(-6). -239 Let m(n) = -39*n**2 + 551*n - 55. Give m(14). 15 Let g(f) = 12*f**2 + 235*f + 1142. Calculate g(-11). 9 Let v(y) = -y**2 - 70*y + 292. Determine v(-70). 292 Let q(u) = 160*u + 4805. Determine q(-30). 5 Let j(m) = -144*m + 1441. Determine j(10). 1 Let w(o) = 63*o + 91. What is w(-9)? -476 Let n(x) = 8*x**2 + 23*x - 1. Determine n(-1). -16 Let z(p) = 17835*p - 338871. Determine z(19). -6 Let h(b) = -580*b - 12175. Calculate h(-21). 5 Let r(b) = -b**3 + b**2 - 43*b - 17. Give r(0). -17 Let y(d) = -257*d + 24152. Calculate y(94). -6 Let r(j) = 2*j**2 + 17*j - 795. What is r(19)? 250 Let z(c) = -69*c - 2140. What is z(-30)? -70 Let c(m) = -97*m**2 + 474*m + 55. What is c(5)? 0 Let v(d) = -d**2 - 173*d - 6531. Give v(-117). 21 Let b(s) = -s**3 - 6*s**2 + 13*s + 20. Calculate b(-6). -58 Let i(w) = w**2 - 2*w + 47. What is i(9)? 110 Let a(v) = 7*v - 685. Calculate a(22). -531 Let f(o) = 457*o - 2288. Give f(5). -3 Let c(a) = 7*a - 179. What is c(22)? -25 Let q(u) = u**3 + 6*u**2 + 19*u + 109. Determine q(-7). -73 Let u(b) = 2*b**2 - 59*b + 175. Calculate u(33). 406 Let c(n) = -n**2 - 63*n + 225. Determine c(-66). 27 Let g(b) = -b**2 - 8*b + 1613. Give g(-46). -135 Let z(v) = v**3 + 116*v**2 - 979*v + 1556. What is z(-124)? -56 Let j(r) = r**3 + 49*r**2 + 175*r - 217. What is j(-45)? 8 Let g(h) = -h**3 - 18*h**2 + 110*h + 10. Give g(-23). 125 Let a(u) = -u**3 - 11*u**2 - u - 98. Give a(-10). -188 Let y(s) = -s**3 - 28*s**2 + 8*s + 63. Calculate y(-28). -161 Let d(a) = -a**3 - 64*a**2 + 128*a - 255. Calculate d(-66). 9 Let x(k) = k**3 + 4*k**2 - 28*k + 317. Determine x(0). 317 Let z(o) = 12*o. What is z(7)? 84 Let f(p) = 4*p**2 + 214*p + 128. Give f(-53). 22 Let c(y) = 3*y**2 + 37*y + 32. Calculate c(-11). -12 Let j(m) = -2*m**3 - 121*m**2 - 64*m - 257. What is j(-60)? -17 Let d(q) = -q**3 + 18*q**2 - 59*q - 160. What is d(8)? 8 Let l(c) = c**3 + 6*c**2 + 10*c + 12. What is l(-2)? 8 Let b(n) = -n**3 - 48*n**2 - 139*n + 97. What is b(-45)? 277 Let q(y) = 5187*y - 15570. Determine q(3). -9 Let v(m) = -17*m**2 + 40*m - 14. Calculate v(2). -2 Let u(h) = -2*h**2 + 4*h + 34. What is u(5)? 4 Let l(x) = 151*x + 139. Determine l(-3). -314 Let q(r) = -3*r**2 + 10*r - 16. What is q(3)? -13 Let s(x) = -25*x + 214. Determine s(26). -436 Let a(m) = 116*m + 1504. Give a(-13). -4 Let x(u) = -93*u**2 - 17*u - 15. Give x(-1). -91 Let p(r) = -r**3 - 51*r**2 - 106*r - 570. Determine p(-49). -178 Let g(u) = 25*u**2 - 10*u + 4. Give g(0). 4 Let a(n) = 3*n**2 + 1985*n - 20140. Determine a(10). 10 Let y(m) = 2005*m - 1992. Calculate y(1). 13 Let j(h) = -h**3 + 40*h**2 + 85*h - 1694. Give j(41). 110 Let i(t) = 3*t**2 + 181*t - 490. What is i(-63)? 14 Let i(g) = g**2 - 66*g - 383. Determine i(-5). -28 Let t(f) = f**3 + 3*f**2 + 82*f + 248. What is t(-3)? 2 Let h(l) = 2*l**3 - 3*l**2 - 2*l - 66. Determine h(5). 99 Let o(t) = 26*t**3 + 341*t**2 + 38*t - 9. Calculate o(-13). 4 Let s(z) = -204*z + 1333. What is s(7)? -95 Let h(m) = -144*m - 32692. What is h(-227)? -4 Let d(c) = 12*c**2 - 197*c + 1135. Calculate d(6). 385 Let i(k) = -27*k**2 + 33*k - 15. Give i(4). -315 Let p(i) = -2*i**2 + 20*i - 169. Determine p(7). -127 Let k(f) = 3033*f**2 - 6074*f + 7. Give k(2). -9 Let a(t) = -123*t**2 - 856*t + 11. What is a(-7)? -24 Let d(u) = u**2 + 3*u + 2. Determine d(23). 600 Let o(g) = -37*g - 687. Give o(-17). -58 Let x(j) = -5*j - 7. What is x(2)? -17 Let x(z) = -116*z + 10596. Calculate x(91). 40 Let a(y) = -y**3 - 16*y**2 + 2339*y + 117. What is a(-57)? 3 Let q(x) = x**2 + 41*x - 14. Determine q(-8). -278 Let v(u) = -u**3 - 12*u**2 + 105*u + 1184. Determine v(-9). -4 Let a(z) = z**3 - 27*z**2 - 132*z + 257. Determine a(31). 9 Let k(d) = -d**3 + 7*d**2 + 153*d - 1094. What is k(8)? 66 Let w(a) = 545*a + 10903. Determine w(-20). 3 Let g(j) = -j**3 - 21*j**2 + 28*j - 2. Give g(-22). -134 Let g(s) = -s**3 + 35*s**2 - 148*s + 686. Give g(31). -58 Let o(k) = -5*k**3 + 149*k**2 + 8*k + 650. Determine o(30). -10 Let g(d) = -137*d**3 - 3*d**2 + 2*d. Give g(1). -138 Let i(a) = 10*a - 2. Determine i(-10). -102 Let y(s) = -s**2 + 229*s - 1997. What is y(9)? -17 Let a(p) = p**3 - 27*p**2 + 164*p - 8. Give a(9). 10 Let t(f) = -f**3 + 33*f**2 - 12*f + 321. Calculate t(33). -75 Let h(q) = q**3 + 66*q**2 - 1314*q + 22. Give h(16). -10 Let q(n) = -2*n**3 - 16*n**2 - 26*n - 232. Give q(-8). -24 Let t(h) = 30*h + 935. Calculate t(-31). 5 Let y(k) = -2*k**2 + 28*k - 18. Calculate y(12). 30 Let c(w) = -56*w + 903. Determine c(16). 7 Let h(f) = -91*f - 34. Calculate h(-3). 239 Let f(y) = -259*y + 1018. What is f(4)? -18 Let h(c) = 214*c - 32920. Calculate h(154). 36 Let f(k) = k**3 - 11*k**2 - 21*k + 67. Calculate f(12). -41 Let x(i) = 24*i - 215. Determine x(11). 49 Let c(l) = 3558*l - 28470. Determine c(8). -6 Let c(z) = 38*z + 1558. Give c(-41). 0 L
{ "pile_set_name": "DM Mathematics" }
and give t. -3 Express -6*u**2 + 8*u**2 - 28*u**2 - 4*u**2 in the form b + d*u + v*u**2 and give v. -30 Express -2*t**2 - 1 - 3*t + 4*t + 5*t in the form a*t + q*t**2 + k and give a. 6 Rearrange 52*o**2 - 29 + 58 - 29 to the form h*o + l*o**2 + s and give l. 52 Rearrange (5 - 3 - 3)*(5*t - 4*t - 3*t)*(0 + 1 - 5)*(4*t - 4*t - 5*t) to p*t + g + z*t**2 and give z. 40 Rearrange (-2*h + 2*h - 2*h)*(-133 + 66 - 153) to w + j*h and give w. 0 Express -6*f**2 + 27 - 11*f + 12*f - 2*f - 23 in the form q + l*f**2 + k*f and give l. -6 Rearrange -2*g + 3*g**2 - 7*g - 2 - 2*g**4 + 0*g**4 - 2*g**2 to w*g + o*g**3 + f + n*g**4 + a*g**2 and give n. -2 Express (-1 + 0 + 0)*(-1 - 2 - 1)*(3*f + 6*f - 4*f) as z + o*f and give o. 20 Rearrange -48*c**2 + c**2 + 32*c**2 - 31*c**2 to the form x*c**2 + i*c + j and give x. -46 Express (-4 - 5 + 3)*(0*r**2 + 2*r + 19 - 18 + 2*r**2) in the form c + m*r + j*r**2 and give c. -6 Rearrange -x**2 + 1 - 1 + (-3*x**2 + 3*x**2 - 2*x**2)*(-3 + 4 - 3) + x**2 - 2*x**2 - x**2 to the form k*x + j*x**2 + r and give j. 1 Express 2*i**3 + 9*i**2 + 7*i**2 + 0*i**2 as k*i**3 + t*i**2 + j + v*i and give t. 16 Express -20*q + 40*q + 45*q in the form b*q + u and give b. 65 Rearrange (3*k - k - 4*k)*(-2 + 0 - 2) to the form o + a*k and give a. 8 Rearrange (-3*l**2 - 1 + 1)*(3*l - 4 + 4) - 5*l**3 + 2*l**3 + 0*l**3 to u*l**3 + n*l + m + c*l**2 and give u. -12 Rearrange (8*z**2 + 5 - 8 + 1)*(-2 + 2*z - 1 - 1) to the form p*z + t*z**2 + g*z**3 + j and give g. 16 Express 0*h**3 + h**3 + 0*h**3 - 9 + (0*h**2 - h**2 + 3*h**2)*(-h + 3*h + 0*h) as u*h**3 + b*h**2 + o + d*h and give b. 0 Express 5*v - 2*v - 8 + 8 + 2*v**3 as p*v**3 + c*v**2 + f*v + l and give f. 3 Express -3*t - 6*t - t**2 + 8*t in the form c*t**2 + r + b*t and give c. -1 Rearrange 5*h**3 + 12*h**2 + 0*h**3 + 28*h**2 - 3*h**3 to z*h**3 + u*h**2 + j + s*h and give z. 2 Rearrange (5*u + 0*u - 3*u)*(-55*u + 5510 - 5510) to the form s + a*u**2 + n*u and give a. -110 Express -2*t**2 + 17*t**4 + 5*t**2 - 1 - 13*t**4 as x + b*t + p*t**4 + c*t**2 + g*t**3 and give p. 4 Rearrange 0*q - 3*q**2 - 9*q - q**3 + 7*q + 5*q**2 + 2*q**4 - 3 to p*q**2 + j*q**4 + y*q**3 + z + c*q and give z. -3 Rearrange -3*b + 3*b - 2*b - 4*b + 3*b + 0*b - 3*b + 3*b - b + (-3 + 1 + 3)*(-1 - 2*b + 1) - 4*b + b + 2*b + 2 - 13 - 2*b + 3*b to z + x*b and give x. -6 Express (0*z**3 + z**3 - 3*z**3)*((-3 + 3 + z)*(-2 + 0 - 1) - 3*z + 2 - 2) in the form n*z**3 + u*z**2 + d*z + f + y*z**4 and give y. 12 Express 10*o**3 + 5 - 5*o**3 - 8 in the form i*o**3 + n*o + j + s*o**2 and give i. 5 Rearrange w**4 + 32*w**3 - 1 + 5 - 31*w**3 - 3 - 2*w to s*w + t*w**4 + z*w**2 + c*w**3 + a and give c. 1 Express 4*c**2 - 1 - 2*c**2 + 3*c**2 - 10*c**2 as y*c + k*c**2 + f and give k. -5 Rearrange -5*m**2 + 4*m**2 + 3 - 4*m**3 + 11 + 2*m**2 to the form v*m**2 + j*m + k + f*m**3 and give f. -4 Rearrange -3 + j**2 - 2*j + 3 + (-2*j + 0 + 0)*(j - 2 + 2) + 39*j - 30*j**2 - 39*j to the form t + k*j**2 + o*j and give o. -2 Rearrange 78*h**3 - 3 + h**2 + 4 + 1 - 80*h**3 - h to the form f + q*h + p*h**2 + b*h**3 and give f. 2 Rearrange 0*n**2 + n**3 + 0*n**2 + 3 - 50*n + 51*n to the form u*n**3 + t*n + x + h*n**2 and give u. 1 Rearrange -52 + 7*m + 52 to w + b*m and give b. 7 Express -19*p**2 - 8 + 13*p**2 + 4*p**2 in the form w*p + g + s*p**2 and give g. -8 Rearrange -a**3 - 4*a**2 - 8*a + 174 + a**2 - 172 to l*a**3 + b*a**2 + v + f*a and give f. -8 Express ((0 - 2 + 4)*(3 + 3 - 7) - 1 + 2 + 5)*(a - 3*a + 0*a) in the form w + k*a and give k. -8 Rearrange z**2 - z**2 - 2*z**4 + (2 + 1 - 1)*(-2*z**4 - z + z) + 0*z**4 + 0*z**4 + 3*z**4 to c*z**4 + b*z**2 + d*z**3 + i*z + r and give c. -3 Rearrange 1 - 2*z**4 + 31*z**3 + 2 - 33*z**3 - 10*z + z**4 to the form g*z**2 + l*z**4 + n*z + f + o*z**3 and give l. -1 Express -156 + 156 - 22*c**2 in the form d*c**2 + n*c + o and give d. -22 Rearrange (0*q + 2*q - q)*(-2*q - 3*q + 6*q + (-2 + 4 - 1)*(2*q + q - q)) - 35*q**2 + 17*q**2 + 14*q**2 to the form m*q + i + p*q**2 and give p. -1 Express (0 - 3 + 1)*(-2 + 1 - 1)*((2 - 3 - 1)*(-4*v + 3*v + 2*v) - v - 3*v + v - 1 + 6*v - 3*v - v) in the form b*v + u and give b. -12 Express (-2*s**4 + 0*s**3 + 0*s**3)*(1 + 1 + 0) + (-3*s**3 + 0*s**3 + 6*s**3)*(0*s + 0*s - s) in the form z + l*s + m*s**3 + i*s**2 + c*s**4 and give c. -7 Rearrange -4*s - 15*s - 8*s to u*s + o and give u. -27 Rearrange 0*z**2 + z**2 + 2*z**2 + (2 - 1 - 4)*(3*z**2 - 4*z**2 + 0*z**2) to the form m*z**2 + x*z + l and give m. 6 Rearrange -q**4 - 2*q**4 - 504*q**2 - 3 + q + 0 + 503*q**2 to n*q**2 + s*q**4 + b + w*q**3 + d*q and give w. 0 Express 5*m**4 - 3*m**4 - 25*m**2 - 11*m**2 - m**4 + m**3 as n*m**3 + y*m**2 + b*m**4 + w + l*m and give b. 1 Rearrange 3*s**3 - 29*s**4 + 2 + 2 + 31*s**4 to the form q*s + g*s**4 + w*s**3 + h*s**2 + m and give g. 2 Rearrange (2*m**3 + m**2 - m**2)*(2 + 3 - 3) - m**3 + 3 - 3 + 0 - m**3 + 0 + (0*m - m - 4*m)*(-5*m**2 + m**2 - 7*m**2) to h*m**2 + b*m + w*m**3 + l and give w. 57 Rearrange -6*a - 4*a + 8*a + 4*a + 67 to the form y*a + o and give y. 2 Express -55*i + 26*i + 44*i in the form y*i + x and give y. 15 Express -y**3 - 325*y**4 + y**2 + y**2 + 323*y**4 + 4*y as m*y + j*y**3 + r*y**4 + i + n*y**2 and give j. -1 Express -138 - 17*w + 138 + 2*w as i*w + o and give i. -15 Rearrange -113 + 113 + 3*l**4 - l**2 - l**2 + 3*l**3 to k*l**4 + a + q*l**2 + b*l + r*l**3 and give r. 3 Express -10*r**2 + 16*r**2 + 0*r**2 in the form a*r**2 + b*r + w and give a. 6 Express -3 + 3 - 2*j**3 + (-3*j - j + 2*j)*(2*j**2 - 2*j**2 + 2*j**2) + 8*j**2 - 5*j**3 - 8*j**2 as b + f*j + q*j**3 + a*j**2 and give q. -11 Rearrange 24*x - 25*x + 22*x + 16*x to the form k*x + y and give k. 37 Express -120*u + 120*u - 68*u**2 in the form a + r*u**2 + h*u and give r. -68 Express (2 + 4 + 5)*(3*i**2 - 2*i**2 + 0*i**2) in the form g*i + s*i**2 + d and give s. 11 Rearrange (-23*m**3 - 18*m**3 - 5*m**3)*(-1 + 4 - 4 - 3 + 3 - 2 + 0 - 5 + 3 + (-4 + 3 - 1)*(-1 + 2 + 0) - 1 - 1 + 1) to b*m**2 + t*m**3 + u + d*m and give t. 368 Rearrange 8 + 7*g**2 - 6 - 40*g**2 to the form i*g + m + p*g**2 and give p. -33 Express -47*c**2 - 80*c**3 - 71*c**3 + 149*c**3 - c**4 in the form i + k*c + j*c**3 + n*c**2 + u*c**4 and give j. -2 Rearrange (x - x + 2*x)*(-381 - 139*x**3 + 381) to v*x**3 + c*x**2 + l + a*x**4 + p*x and give l. 0 Rearrange -48*h**4 + 46*h**4 + h - 2*h**2 + h to k*h**4 + l*h + r*h**2 + q + y*h**3 and give l. 2 Rearrange 1 - 4 - v - 2 - 2*v**3 to the form t + a*v**3 + g*v**2 + y*v and give a. -2 Rearrange -50*v - 8101 + 8101 to the form b + t*v and give b. 0 Rearrange -13*z**3 + 0*z**3 + 17*z**3 - 3 + 4 to q*z + y + p*z**2 + j*z**3 and give j. 4 Express -15*r**3 + 0 + 2*r**2 - 3*r**2 + 2 + 2*r**2 as k + z*r + y*r**3 + o*r**2 and give o. 1 Express 4784*i**2 - 2*i + 22 - 4784*i**2 - 2*i**3 in the form y*i**3 + r*i**2 + v + g*i and give r. 0 Express 23*f**2 + 2*f**2 + f**2 + (0*f - 2*f + 0*f)*(-4*f + 3*f + 0*f) in the form v + i*f + g*f**2 and give g. 28 Rearrange (-3 + 3 + 4)*(0*k**4 - 3*k**4 - 7*k**4) - k**3 + k**3 - 2*k**4 to d*k**3 + x + q*k + r*k**4 + n*k**2 and give r. -42 Express -31*w**3 - 10*w + 10*w - 5*w**3 + 2*w**3 + 4*w**3 + (0*w**3 - 3*w**3 + 5*w**3)*(-5 + 2 + 1) - w + w + 2*w**3 as z*w + b*w**2 + m + k*w**3 and give k. -32 Express 5*d**2 + 1 + 0 - 17*d**2 as s*d + u*d**2 + b and give u. -12 Express (-4*r**2 + 6*r**2 - r**2)*(5*r - r - 3*r) + 4*r**3 - 5*r**3 + 3*r**3 + 4*r**3 - 132*r + 16*r**3 + 133*r as x*r**3 + p*r**2 + j + l*r and give x. 23 Express 17*o**2 - 27*o + 17*o**2 + o**4 + 2 - 34*o**2 in the form g*o**4 + c*o**3 + i*o + s*o**2 + b and give g. 1 Express -4*t**3 + t**3 + 29*t**2 + t**3 + 49*t**2 as j*t + z*t**2 + g + d*t**3 and give z. 78 Rearrange (3*c + 5*c - 4*c)*(4*c + c - 4*c) - 5*c + 5*c - 5*c**2 to the form d*c**2 + z + y*c and give d. -1 Express 16*w**2 - w**2 + 6*w**2 in the form k + i*w**2 + c*w and give i. 21 Rearrange -15*t + 4*t + 0*t**4 + 2*t**3 + 4*t - t**4 to the form d*t**4 + z*t**3 + q + m*t + p*t**2 and give d. -1 Rearrange (-k**3 + 3 - 3)*(-16*k - 12*k + 9*k) to y*k + h + b*k**2 + w*k**4 + f*k**3 and give b. 0 Express 9*n - 17*n - 7*n as u + v*n and give v. -15 Express -3*f**2 + 3*f**2 - 2*f**2 - 5 + 0 as u + z*f**2 + j*f and give u. -5 Rearrange (-10 - 2 + 32)*(-
{ "pile_set_name": "DM Mathematics" }
icked without replacement from {c: 7, d: 2}. 7/36 Four letters picked without replacement from {n: 2, l: 12, o: 5}. What is prob of sequence lnll? 55/1938 Two letters picked without replacement from zrzrzzzzrzzzrrrzzrz. What is prob of sequence rz? 14/57 Three letters picked without replacement from uyasm. What is prob of sequence usa? 1/60 Three letters picked without replacement from {q: 10, d: 2}. What is prob of sequence dqd? 1/66 Two letters picked without replacement from gqggqg. What is prob of sequence gq? 4/15 Calculate prob of sequence mmn when three letters picked without replacement from {b: 4, m: 8, n: 2}. 2/39 What is prob of sequence nfmo when four letters picked without replacement from mfnmmmomnmmnoo? 3/1144 What is prob of sequence zm when two letters picked without replacement from jjjmjjwmjjjjzjj? 1/105 Calculate prob of sequence glr when three letters picked without replacement from {g: 1, r: 1, m: 5, e: 1, l: 3}. 1/330 Four letters picked without replacement from {v: 7}. Give prob of sequence vvvv. 1 Two letters picked without replacement from pgpgpegpgddapa. Give prob of sequence ed. 1/91 Calculate prob of sequence zqs when three letters picked without replacement from {o: 1, s: 1, z: 1, q: 1, n: 3}. 1/210 Three letters picked without replacement from {m: 2, h: 3, l: 5, i: 2}. Give prob of sequence iih. 1/220 Two letters picked without replacement from {r: 4, f: 2, p: 2}. What is prob of sequence pf? 1/14 Three letters picked without replacement from yhycv. Give prob of sequence yvh. 1/30 What is prob of sequence ee when two letters picked without replacement from hee? 1/3 Calculate prob of sequence ypx when three letters picked without replacement from ppypypxpppppppy. 11/910 Calculate prob of sequence qa when two letters picked without replacement from {w: 1, y: 7, e: 2, q: 5, n: 2, a: 3}. 3/76 Calculate prob of sequence io when two letters picked without replacement from iioooiiiiiiiiiki. 3/20 Three letters picked without replacement from rrr. Give prob of sequence rrr. 1 What is prob of sequence aad when three letters picked without replacement from {l: 2, d: 4, a: 3, w: 1}? 1/30 Calculate prob of sequence jyc when three letters picked without replacement from yyyjcccchcchyc. 1/78 Four letters picked without replacement from {w: 1, o: 2, n: 4}. What is prob of sequence nowo? 1/105 Four letters picked without replacement from qvlllnvlvvvvvlvvv. What is prob of sequence vlnq? 5/5712 Calculate prob of sequence mcc when three letters picked without replacement from {c: 3, q: 3, m: 2}. 1/28 Four letters picked without replacement from {f: 7, j: 7, d: 5}. Give prob of sequence djjj. 175/15504 Four letters picked without replacement from {k: 4, y: 1, c: 3}. Give prob of sequence kycc. 1/70 Calculate prob of sequence gsyh when four letters picked without replacement from hsjeygy. 1/420 Two letters picked without replacement from gbbgbggggggggigggggi. Give prob of sequence gi. 3/38 Four letters picked without replacement from cyyyyccyyyyyyyycyyy. Give prob of sequence cycy. 35/1292 Three letters picked without replacement from {v: 5, u: 4, w: 1, l: 3}. What is prob of sequence vlw? 5/572 Three letters picked without replacement from ucuuuuuu. What is prob of sequence cuu? 1/8 What is prob of sequence mb when two letters picked without replacement from iubbuiiuayaaym? 1/91 Two letters picked without replacement from sooocuoxoosxrrx. Give prob of sequence us. 1/105 What is prob of sequence mm when two letters picked without replacement from {m: 6, p: 4, g: 1, u: 1, o: 1}? 5/26 Three letters picked without replacement from {e: 4, g: 1, c: 1, z: 2, p: 2, k: 2}. Give prob of sequence zzc. 1/660 Four letters picked without replacement from mooowyyyoymyoymwmmy. What is prob of sequence wmoy? 175/46512 What is prob of sequence gd when two letters picked without replacement from dggggsgsgdggdggsggg? 13/114 Calculate prob of sequence uuvv when four letters picked without replacement from {u: 7, v: 3, s: 3}. 21/1430 What is prob of sequence mpmm when four letters picked without replacement from {m: 3, p: 5}? 1/56 Two letters picked without replacement from {a: 13, f: 3}. Give prob of sequence af. 13/80 Two letters picked without replacement from {r: 10, y: 9}. What is prob of sequence rr? 5/19 Two letters picked without replacement from qhwqwurwwqwwnqu. Give prob of sequence uh. 1/105 Four letters picked without replacement from lwlljywbbbjllljjyqb. What is prob of sequence jqwb? 1/2907 Two letters picked without replacement from xdbmvdmxbvdd. What is prob of sequence dv? 2/33 What is prob of sequence qqll when four letters picked without replacement from qlql? 1/6 What is prob of sequence ste when three letters picked without replacement from ttiatiiteitititiiset? 2/855 Two letters picked without replacement from pzpyzzpzzpppyzppy. What is prob of sequence pp? 7/34 Two letters picked without replacement from smmlisiizsssyzlmsi. What is prob of sequence sm? 1/17 What is prob of sequence qgqg when four letters picked without replacement from ggggggqqggqgggqggg? 91/3060 Three letters picked without replacement from buubbbbbbubbbbbb. Give prob of sequence bub. 39/280 Three letters picked without replacement from tksjyrys. What is prob of sequence ysj? 1/84 What is prob of sequence bnn when three letters picked without replacement from nbbn? 1/6 Calculate prob of sequence voj when three letters picked without replacement from cvcvjojicccjjvc. 2/455 What is prob of sequence gxig when four letters picked without replacement from {g: 2, i: 8, x: 4}? 8/3003 Calculate prob of sequence pp when two letters picked without replacement from pddpddddlpdpl. 1/13 What is prob of sequence px when two letters picked without replacement from {p: 13, x: 6}? 13/57 Calculate prob of sequence hhww when four letters picked without replacement from {w: 5, h: 5}. 5/63 Two letters picked without replacement from {o: 3, g: 4, r: 5}. What is prob of sequence rr? 5/33 Three letters picked without replacement from xyjyxfl. Give prob of sequence ljx. 1/105 Calculate prob of sequence fff when three letters picked without replacement from ffffff. 1 What is prob of sequence axx when three letters picked without replacement from {x: 5, t: 1, m: 2, h: 3, a: 1}? 1/66 What is prob of sequence tmw when three letters picked without replacement from ymmwwwtmttwpwwmy? 3/140 Four letters picked without replacement from ffttfovfssitfs. What is prob of sequence osvf? 5/8008 Two letters picked without replacement from aajcwawacwq. Give prob of sequence ja. 2/55 Two letters picked without replacement from {s: 2, u: 6, o: 1, j: 2, l: 1}. What is prob of sequence lo? 1/132 Calculate prob of sequence qq when two letters picked without replacement from qquuuuuqqlq. 2/11 What is prob of sequence oog when three letters picked without replacement from ggoggggooggggg? 11/364 What is prob of sequence oini when four letters picked without replacement from {j: 1, o: 4, i: 3, n: 5}? 1/143 Calculate prob of sequence ubu when three letters picked without replacement from {b: 4, u: 6, z: 2}. 1/11 Three letters picked without replacement from {n: 7, d: 2, f: 4}. Give prob of sequence nnd. 7/143 Two letters picked without replacement from {s: 2, i: 2, k: 1, v: 1}. What is prob of sequence sv? 1/15 Calculate prob of sequence qbb when three letters picked without replacement from mbbgigiiimiagqbqbqiq. 2/285 Calculate prob of sequence jne when three letters picked without replacement from {j: 1, e: 13, n: 1, k: 2}. 13/4080 What is prob of sequence aj when two letters picked without replacement from {a: 1, j: 1, x: 2, e: 5, y: 3}? 1/132 Two letters picked without replacement from {z: 2, r: 2, a: 10, i: 1, u: 2, j: 1}. What is prob of sequence zj? 1/153 What is prob of sequence uu when two letters picked without replacement from uukgukgug? 1/6 Four letters picked without replacement from ynynyynnnnn. What is prob of sequence ynyn? 7/110 Calculate prob of sequence aiaa when four letters picked without replacement from {i: 2, a: 8}. 2/15 What is prob of sequence iiyw when four letters picked without replacement from dddwyayyuwiyiyw? 1/1092 Four letters picked without replacement from {z: 6, r: 2, u: 3,
{ "pile_set_name": "DM Mathematics" }
ower of 1/3, to the nearest integer? 73 What is the sixth root of 889421 to the nearest integer? 10 What is the seventh root of 12105800 to the nearest integer? 10 What is 317544 to the power of 1/2, to the nearest integer? 564 What is the cube root of 3653819 to the nearest integer? 154 What is the cube root of 11000943 to the nearest integer? 222 What is the cube root of 11474124 to the nearest integer? 226 What is 279799 to the power of 1/2, to the nearest integer? 529 What is 912034 to the power of 1/10, to the nearest integer? 4 What is the square root of 10511829 to the nearest integer? 3242 What is the cube root of 16421230 to the nearest integer? 254 What is 1756498 to the power of 1/3, to the nearest integer? 121 What is 234172 to the power of 1/2, to the nearest integer? 484 What is 1111772 to the power of 1/7, to the nearest integer? 7 What is 170474 to the power of 1/6, to the nearest integer? 7 What is 3160604 to the power of 1/10, to the nearest integer? 4 What is the square root of 83574 to the nearest integer? 289 What is 434734 to the power of 1/7, to the nearest integer? 6 What is 3020226 to the power of 1/3, to the nearest integer? 145 What is the eighth root of 54442 to the nearest integer? 4 What is the third root of 1048863 to the nearest integer? 102 What is the third root of 15351398 to the nearest integer? 249 What is the fifth root of 132946 to the nearest integer? 11 What is the square root of 1889538 to the nearest integer? 1375 What is the square root of 231389 to the nearest integer? 481 What is the square root of 4921320 to the nearest integer? 2218 What is the sixth root of 20543412 to the nearest integer? 17 What is 214198 to the power of 1/2, to the nearest integer? 463 What is 7055992 to the power of 1/3, to the nearest integer? 192 What is 9905896 to the power of 1/5, to the nearest integer? 25 What is the third root of 114289 to the nearest integer? 49 What is the sixth root of 325142 to the nearest integer? 8 What is 4246654 to the power of 1/6, to the nearest integer? 13 What is 13276774 to the power of 1/3, to the nearest integer? 237 What is 332317 to the power of 1/2, to the nearest integer? 576 What is the cube root of 641630 to the nearest integer? 86 What is the third root of 7286669 to the nearest integer? 194 What is 2693280 to the power of 1/4, to the nearest integer? 41 What is the cube root of 36992346 to the nearest integer? 333 What is the third root of 16212688 to the nearest integer? 253 What is 285147 to the power of 1/3, to the nearest integer? 66 What is 160912 to the power of 1/9, to the nearest integer? 4 What is the fourth root of 8465019 to the nearest integer? 54 What is the cube root of 18108155 to the nearest integer? 263 What is 336214 to the power of 1/6, to the nearest integer? 8 What is the third root of 773771 to the nearest integer? 92 What is the square root of 1235891 to the nearest integer? 1112 What is 196814 to the power of 1/2, to the nearest integer? 444 What is 1233654 to the power of 1/2, to the nearest integer? 1111 What is 4006078 to the power of 1/2, to the nearest integer? 2002 What is 284640 to the power of 1/10, to the nearest integer? 4 What is 3111567 to the power of 1/2, to the nearest integer? 1764 What is 662285 to the power of 1/3, to the nearest integer? 87 What is the third root of 148771 to the nearest integer? 53 What is the square root of 2135809 to the nearest integer? 1461 What is 1237300 to the power of 1/2, to the nearest integer? 1112 What is 2743904 to the power of 1/7, to the nearest integer? 8 What is 3406105 to the power of 1/8, to the nearest integer? 7 What is the fourth root of 803620 to the nearest integer? 30 What is 812814 to the power of 1/2, to the nearest integer? 902 What is 2977146 to the power of 1/7, to the nearest integer? 8 What is 2158780 to the power of 1/5, to the nearest integer? 18 What is 5537862 to the power of 1/6, to the nearest integer? 13 What is 549413 to the power of 1/6, to the nearest integer? 9 What is the sixth root of 14235510 to the nearest integer? 16 What is the third root of 167366 to the nearest integer? 55 What is 742848 to the power of 1/2, to the nearest integer? 862 What is the sixth root of 20067588 to the nearest integer? 16 What is the third root of 1337937 to the nearest integer? 110 What is 4251716 to the power of 1/6, to the nearest integer? 13 What is the square root of 12596685 to the nearest integer? 3549 What is 205434 to the power of 1/7, to the nearest integer? 6 What is 74207 to the power of 1/2, to the nearest integer? 272 What is 1391357 to the power of 1/4, to the nearest integer? 34 What is the third root of 226370 to the nearest integer? 61 What is 5678 to the power of 1/4, to the nearest integer? 9 What is 290732 to the power of 1/3, to the nearest integer? 66 What is 4028989 to the power of 1/3, to the nearest integer? 159 What is the seventh root of 376569 to the nearest integer? 6 What is the fifth root of 15459168 to the nearest integer? 27 What is 23305933 to the power of 1/9, to the nearest integer? 7 What is 3988996 to the power of 1/2, to the nearest integer? 1997 What is 23321 to the power of 1/5, to the nearest integer? 7 What is the third root of 1291931 to the nearest integer? 109 What is the third root of 95012 to the nearest integer? 46 What is 90659 to the power of 1/7, to the nearest integer? 5 What is the third root of 295024 to the nearest integer? 67 What is 708880 to the power of 1/3, to the nearest integer? 89 What is 20129456 to the power of 1/9, to the nearest integer? 6 What is the third root of 7331840 to the nearest integer? 194 What is the tenth root of 5366916 to the nearest integer? 5 What is 956273 to the power of 1/3, to the nearest integer? 99 What is the fifth root of 1748443 to the nearest integer? 18 What is the third root of 2254337 to the nearest integer? 131 What is 1602923 to the power of 1/8, to the nearest integer? 6 What is 173826 to the power of 1/2, to the nearest integer? 417 What is the square root of 1352142 to the nearest integer? 1163 What is the square root of 1366781 to the nearest integer? 1169 What is 5427192 to the power of 1/7, to the nearest integer? 9 What is the fifth root of 8283711 to the nearest integer? 24 What is the tenth root of 8111 to the nearest integer? 2 What is the tenth root of 2718872 to the nearest integer? 4 What is the cube root of 8638302 to the nearest integer? 205 What is 7303054 to the power of 1/3, to the nearest integer? 194 What is 1843850 to the power of 1/6, to the nearest integer? 11 What is 216192 to the power of 1/8, to the nearest integer? 5 What is the third root of 5671605 to the nearest integer? 178 What is the tenth root of 263983 to the nearest integer? 3 What is the cube root of 206073 to the nearest integer? 59 What is 214718 to the power of 1/3, to the nearest integer? 60 What is the sixth root of 99921 to the nearest integer? 7 What is 6982032 to the power of 1/3, to the nearest integer? 191 What is the square root of 641510 to the nearest integer? 801 What is the third root of 172856 to the nearest integer? 56 What is 8003111 to the power of 1/8, to the nearest integer? 7 What is 25085 to the power of 1/2, to the nearest integer? 158 What is 6637867 to the power of 1/3, to the nearest integer? 188 What is 1340224 to the power of 1/2, to the nearest integer? 1158 What is the square root of 5636894 to the nearest integer? 2374 What is the third root of 1082077 to the nearest integer? 103 What is 9325892 to the power of 1/3, to the nearest integer? 210 What is 35420 to the power of 1/2, to the nearest integer? 188 What is 267313 to the power of 1/2, to the nearest integer? 517 What is the square root of 3991769 to the nearest integer? 1998 What is the seventh root of 82841 to the nearest integer? 5 What is 260496 to the power of 1/2, to the nearest integer? 510 What is 2096026 to the power of 1/6, to the nearest integer? 11 What is the cube root of 212088 to the nearest integer? 60 What is 4049931 to the power of 1/2, to the nearest integer? 2012 What is the square root of 17368 to the nearest integer? 132 What is the square root of 25449819 to the nearest integer? 5045 What is the
{ "pile_set_name": "DM Mathematics" }
s? 1750 How many centuries are there in 1/10 of a millennium? 1 What is 2452512.9 months in millennia? 204.376075 What is nineteen quarters of a milligram in micrograms? 4750 Convert 3.956322l to millilitres. 3956.322 How many micrograms are there in 6015.941t? 6015941000000000 How many litres are there in 89.40057ml? 0.08940057 How many milliseconds are there in 0.8428786 minutes? 50572.716 What is 3/8 of a kilometer in meters? 375 Convert 90.5267 weeks to days. 633.6869 How many millennia are there in 682.4663 years? 0.6824663 Convert 0.4853443 milligrams to micrograms. 485.3443 How many milliseconds are there in five quarters of a minute? 75000 Convert 89824.4l to millilitres. 89824400 What is 0.6668173 decades in years? 6.668173 Convert 66.24763nm to kilometers. 0.00000000006624763 Convert 1229640.3 months to years. 102470.025 Convert 0.311829 micrometers to kilometers. 0.000000000311829 What is 1/16 of a day in seconds? 5400 Convert 298010.7 litres to millilitres. 298010700 What is 5/8 of a millisecond in microseconds? 625 What is 21/8 of a century in months? 3150 How many grams are there in one quarter of a kilogram? 250 What is 890.9646ms in microseconds? 890964.6 What is 4.810718 seconds in milliseconds? 4810.718 What is 33108.8g in kilograms? 33.1088 How many millilitres are there in 99.42858l? 99428.58 Convert 6.72796 tonnes to kilograms. 6727.96 What is 1/5 of a millennium in years? 200 How many centuries are there in 333.2896 millennia? 3332.896 Convert 0.4931494 centuries to millennia. 0.04931494 How many milligrams are there in eleven tenths of a gram? 1100 What is 1/5 of a millennium in decades? 20 What is one fifth of a milligram in micrograms? 200 What is 2/125 of a millennium in months? 192 How many micrometers are there in 78845.05 nanometers? 78.84505 Convert 0.5107039 nanometers to centimeters. 0.00000005107039 How many millilitres are there in six fifths of a litre? 1200 Convert 31.99368 grams to tonnes. 0.00003199368 How many centimeters are there in 680785.6km? 68078560000 Convert 57347.5ns to microseconds. 57.3475 How many years are there in fourty-two fifths of a decade? 84 How many litres are there in 0.2801449ml? 0.0002801449 How many centimeters are there in 80.30923m? 8030.923 What is 48/5 of a millennium in decades? 960 What is 11/4 of a centimeter in micrometers? 27500 What is 0.1346296 kilograms in tonnes? 0.0001346296 How many millilitres are there in 8/25 of a litre? 320 What is 1.014077 decades in months? 121.68924 How many hours are there in 595.29582ns? 0.00000000016535995 How many millimeters are there in twenty-one halves of a meter? 10500 How many kilograms are there in three eighths of a tonne? 375 Convert 11.1275 years to millennia. 0.0111275 How many kilometers are there in 45331.21 millimeters? 0.04533121 How many nanometers are there in eighteen fifths of a micrometer? 3600 How many kilometers are there in 3398.095cm? 0.03398095 Convert 141.8701 milliseconds to microseconds. 141870.1 How many seconds are there in seven sixths of a hour? 4200 What is 6/5 of a gram in milligrams? 1200 What is 17/2 of a year in months? 102 How many millilitres are there in 13/5 of a litre? 2600 Convert 48.7895um to millimeters. 0.0487895 What is one tenth of a kilometer in centimeters? 10000 How many millimeters are there in 1/20 of a kilometer? 50000 How many litres are there in 82.46105 millilitres? 0.08246105 What is 7646.682 decades in years? 76466.82 How many millilitres are there in 45475.38l? 45475380 How many milligrams are there in seventeen tenths of a gram? 1700 What is 6416.724 centuries in decades? 64167.24 How many milliseconds are there in 8.342145ns? 0.000008342145 What is 84.49854 years in months? 1013.98248 Convert 649.0402 years to centuries. 6.490402 What is ten thirds of a decade in months? 400 Convert 586.6194 centuries to months. 703943.28 How many centimeters are there in 19/4 of a meter? 475 How many milligrams are there in 9/25 of a gram? 360 Convert 0.3068456l to millilitres. 306.8456 Convert 15.67939 litres to millilitres. 15679.39 What is twenty-one quarters of a litre in millilitres? 5250 What is 7/8 of a litre in millilitres? 875 Convert 2279049.6 minutes to hours. 37984.16 How many grams are there in twenty-one quarters of a kilogram? 5250 What is 7/4 of a litre in millilitres? 1750 How many kilograms are there in 0.443295g? 0.000443295 Convert 43462.57t to micrograms. 43462570000000000 Convert 94.71522 litres to millilitres. 94715.22 How many millilitres are there in twenty-one fifths of a litre? 4200 What is 0.804171g in nanograms? 804171000 How many nanograms are there in 7/4 of a microgram? 1750 How many months are there in 988.2641 years? 11859.1692 How many grams are there in 52.3436 micrograms? 0.0000523436 How many millilitres are there in 38639.6l? 38639600 What is 41520.16ug in milligrams? 41.52016 How many years are there in 26/5 of a century? 520 How many minutes are there in 21.44436 seconds? 0.357406 How many tonnes are there in 9.753256 grams? 0.000009753256 What is 419222.8 centimeters in nanometers? 4192228000000 How many milligrams are there in 741.3635ng? 0.0007413635 How many decades are there in 2.959683 months? 0.024664025 What is fourty-five quarters of a century in years? 1125 Convert 37058.7 litres to millilitres. 37058700 What is 3/8 of a gram in milligrams? 375 Convert 29410.19 kilometers to nanometers. 29410190000000000 How many centuries are there in 47.0078 years? 0.470078 How many minutes are there in 4507.188 days? 6490350.72 How many millimeters are there in 31/2 of a meter? 15500 How many minutes are there in 78.7845 weeks? 794147.76 What is 95.23671ml in litres? 0.09523671 What is 84364.71 centuries in decades? 843647.1 What is 543.992 tonnes in kilograms? 543992 What is fourty-nine quarters of a kilometer in meters? 12250 Convert 58.22757ml to litres. 0.05822757 How many nanograms are there in 627567.2 milligrams? 627567200000 What is eleven halves of a litre in millilitres? 5500 What is 6/25 of a litre in millilitres? 240 How many micrograms are there in 259044.4 milligrams? 259044400 What is 9444.966 weeks in days? 66114.762 How many millilitres are there in 0.2869057 litres? 286.9057 What is 53/4 of a litre in millilitres? 13250 What is 127500.6 decades in months? 15300072 What is 9.781987um in centimeters? 0.0009781987 Convert 0.2507577ml to litres. 0.0002507577 How many millilitres are there in 6922.302 litres? 6922302 Convert 61433.09ug to grams. 0.06143309 What is 50.81708ns in seconds? 0.00000005081708 Convert 855.2278 litres to millilitres. 855227.8 How many millimeters are there in 1/10 of a meter? 100 What is seven halves of a litre in millilitres? 3500 How many years are there in fourty-four fifths of a millennium? 8800 How many hours are there in seventeen sixths of a week? 476 How many minutes are there in 5/4 of a hour? 75 How many decades are there in twenty-nine fifths of a millennium? 580 What is 1/30 of a minute in milliseconds? 2000 How many microseconds are there in 3/8 of a millisecond? 375 What is fifty-nine thirds of a hour in minutes? 1180 How many nanograms are there in 1/10 of a microgram? 100 Convert 50228.45 centuries to years. 5022845 How many seconds are there in 9752.364 days? 842604249.6 What is twenty-one quarters of a kilogram in grams? 5250 What is 70419.92kg in tonnes? 70.41992 Convert 8.745799 millilitres to litres. 0.008745799 What is 15/4 of a microgram in nanograms? 3750 How many months are there in 1627.03 years? 19524.36 What is 3/8 of a microgram in nanograms? 375 What is 52744.1mm in centimeters? 5274.41 Convert 732070.7t to nanograms. 732070700000000000000 How many centuries are there in thirteen fifths of a millennium? 26 How many grams are there in 5/8 of a kilogram? 625 What is 80.78236 hours in seconds? 290816.496 What is 604.3784 days in microseconds? 52218293760000 What is 18/5 of a millisecond in microseconds? 3600 How many millilitres are there in thirty-four fifths of a litre? 6800 What is 11/8 of a decade in months? 165 What is 57.5166 days in microseconds? 4969434240000 What is 662.408kg in milligrams? 662408000 How many meters are there in 55042.61mm? 55.04261 How many nanometers are there
{ "pile_set_name": "DM Mathematics" }
the m'th term of 6214568, 12429126, 18643684, 24858242, 31072800? 6214558*m + 10 What is the t'th term of -193886529, -387773056, -581659583, -775546110, -969432637? -193886527*t - 2 What is the r'th term of -291985, -1167961, -2627935, -4671919, -7299925, -10511965, -14308051, -18688195? -2*r**3 - 291987*r**2 - r + 5 What is the d'th term of -130553438, -130553434, -130553430, -130553426, -130553422, -130553418? 4*d - 130553442 What is the r'th term of 762, 1800, 2846, 3900, 4962? 4*r**2 + 1026*r - 268 What is the l'th term of 1118, 4897, 11206, 20045, 31414, 45313, 61742? 1265*l**2 - 16*l - 131 What is the p'th term of 67922, 68022, 68120, 68216, 68310, 68402, 68492? -p**2 + 103*p + 67820 What is the k'th term of -12372, -49169, -110484, -196317, -306668, -441537, -600924? -12259*k**2 - 20*k - 93 What is the v'th term of 48206, 48329, 48532, 48815, 49178, 49621, 50144? 40*v**2 + 3*v + 48163 What is the q'th term of 5307, 22006, 50105, 89604, 140503, 202802? 5700*q**2 - 401*q + 8 What is the a'th term of -356553, -713078, -1069613, -1426164, -1782737, -2139338? -a**3 + a**2 - 356521*a - 32 What is the t'th term of -692444, -1384948, -2077468, -2770010, -3462580, -4155184, -4847828? -t**3 - 2*t**2 - 692491*t + 50 What is the k'th term of -24452, -25082, -25712, -26342, -26972, -27602? -630*k - 23822 What is the r'th term of 250320, 249962, 249604, 249246? -358*r + 250678 What is the f'th term of -444575, -1778275, -4001109, -7113077, -11114179? -444567*f**2 + f - 9 What is the l'th term of 419555, 419590, 419639, 419702, 419779, 419870, 419975? 7*l**2 + 14*l + 419534 What is the u'th term of -4256, -17863, -40824, -73139? -4677*u**2 + 424*u - 3 What is the q'th term of -215, -1723, -5847, -13907, -27223? -220*q**3 + 12*q**2 - 4*q - 3 What is the v'th term of 428, 809, 1118, 1313, 1352, 1193, 794, 113? -7*v**3 + 6*v**2 + 412*v + 17 What is the o'th term of -2952, -2710, -2306, -1740, -1012, -122? 81*o**2 - o - 3032 What is the r'th term of 1044898, 1045334, 1046058, 1047070? 144*r**2 + 4*r + 1044750 What is the q'th term of -2112, -6885, -19880, -45207, -86976? -685*q**3 - q**2 + 25*q - 1451 What is the d'th term of -2723865, -5447726, -8171583, -10895436, -13619285, -16343130, -19066971? 2*d**2 - 2723867*d What is the i'th term of -23823567, -47647132, -71470697, -95294262? -23823565*i - 2 What is the u'th term of 386351, 386355, 386365, 386381? 3*u**2 - 5*u + 386353 What is the y'th term of -1325375, -2650743, -3976111? -1325368*y - 7 What is the s'th term of -6051857, -12103711, -18155565, -24207419? -6051854*s - 3 What is the s'th term of 7111851, 14223715, 21335589, 28447473, 35559367, 42671271? 5*s**2 + 7111849*s - 3 What is the c'th term of -573683, -1147464, -1721245, -2295026, -2868807, -3442588? -573781*c + 98 What is the x'th term of -14144248, -56576982, -127298206, -226307920, -353606124, -509192818? -14144245*x**2 + x - 4 What is the l'th term of 33284, 66499, 99646, 132731, 165760, 198739? l**3 - 40*l**2 + 33328*l - 5 What is the i'th term of 712, 449, -26, -713? -106*i**2 + 55*i + 763 What is the t'th term of 9413, 9409, 9403, 9401, 9409, 9433, 9479, 9553? t**3 - 7*t**2 + 10*t + 9409 What is the h'th term of 5226288, 20905159, 47036612, 83620647? 5226291*h**2 - 2*h - 1 What is the n'th term of 10313030, 10313012, 10312984, 10312940, 10312874, 10312780, 10312652, 10312484? -n**3 + n**2 - 14*n + 10313044 What is the s'th term of -574, -1188, -1772, -2320, -2826, -3284, -3688? s**3 + 9*s**2 - 648*s + 64 What is the q'th term of 972, 1916, 2812, 3660? -24*q**2 + 1016*q - 20 What is the z'th term of -1462400, -1462825, -1463250, -1463675, -1464100, -1464525? -425*z - 1461975 What is the p'th term of 10526409, 10526366, 10526323, 10526280, 10526237? -43*p + 10526452 What is the q'th term of 11723, 22382, 33039, 43694? -q**2 + 10662*q + 1062 What is the n'th term of -35173673, -70347343, -105521013, -140694683? -35173670*n - 3 What is the y'th term of 48843, 95256, 141669? 46413*y + 2430 What is the n'th term of -17291147, -17291150, -17291141, -17291114, -17291063, -17290982, -17290865, -17290706? n**3 - 10*n - 17291138 What is the z'th term of -16826774, -16826773, -16826772? z - 16826775 What is the s'th term of 45411318, 45411331, 45411352, 45411381, 45411418, 45411463? 4*s**2 + s + 45411313 What is the k'th term of 370, 1412, 3372, 6448, 10838? 33*k**3 + 261*k**2 + 28*k + 48 What is the m'th term of -1974783, -3949297, -5923811, -7898325? -1974514*m - 269 What is the y'th term of 334, 2210, 7240, 17002, 33074, 57034, 90460, 134930? 263*y**3 - y**2 + 38*y + 34 What is the g'th term of 328, -7351, -23032, -46715? -4001*g**2 + 4324*g + 5 What is the x'th term of -397, -591, -761, -889, -957? 3*x**3 - 6*x**2 - 197*x - 197 What is the l'th term of -355909, -711884, -1067859, -1423834, -1779809, -2135784? -355975*l + 66 What is the t'th term of 106227300, 212454600, 318681900, 424909200? 106227300*t What is the q'th term of 509, 980, 1367, 1628, 1721, 1604, 1235? -7*q**3 + 520*q - 4 What is the i'th term of 14579, 29010, 43439, 57866, 72291? -i**2 + 14434*i + 146 What is the l'th term of 9331, 9374, 9453, 9568, 9719, 9906? 18*l**2 - 11*l + 9324 What is the m'th term of 11729985, 11730009, 11730033? 24*m + 11729961 What is the i'th term of 48527, 98111, 147683, 197237, 246767, 296267, 345731, 395153? -i**3 + 49591*i - 1063 What is the r'th term of 1027627, 1027477, 1027331, 1027189? 2*r**2 - 156*r + 1027781 What is the z'th term of -3090641, -6181216, -9271791, -12362366, -15452941? -3090575*z - 66 What is the y'th term of -1144210, -2287048, -3429886, -4572724, -5715562? -1142838*y - 1372 What is the w'th term of -1858130, -1858133, -1858136? -3*w - 1858127 What is the o'th term of 4231, 16715, 37515, 66625, 104039, 149751, 203755? -o**3 + 4164*o**2 - o + 69 What is the t'th term of 596929, 594940, 592965, 591010, 589081, 587184, 585325? t**3 + t**2 - 1999*t + 598926 What is the u'th term of -248, 4420, 14020, 28558, 48040, 72472, 101860, 136210? u**3 + 2460*u**2 - 2719*u + 10 What is the q'th term of 4456722, 8913451, 13370180? 4456729*q - 7 What is the v'th term of -775704214, -775704215, -775704216, -775704217, -775704218, -775704219? -v - 775704213 What is the c'th term of 170462, 340914, 511366, 681818, 852270? 170452*c + 10 What is the l'th term of -76433, -76520, -76597, -76658, -76697, -76708? l**3 - l**2 - 91*l - 76342 What is the x'th term of 32132680, 32132674, 32132666, 32132656, 32132644, 32132630? -x**2 - 3*x + 32132684 What is the v'th term of -1953, -15408, -51883, -122892, -239949, -414568, -658263, -982548? -1919*v**3 + 4*v**2 - 34*v - 4 What is the f'th term of -1151674, -1151669, -1151664, -1151659, -1151654, -1151649? 5*f - 1151679 What is the s'th term of 615, 2278, 3941, 5604, 7267? 1663*s - 1048 What is the r'th term of 163136, 652616, 1468424, 2610566, 4079048, 5873876? r**3 + 163158*r**2 - r - 22 What is the c'th term of -1050, -2200, -3488, -4914, -6478, -8180, -10020? -69*c**2 - 943*c - 38 What is the o'th term of -430558, -430576, -430606, -430648, -430702? -6*o**2 - 430552 What is the w'th term of -1336342, -2672698, -4009054? -1336356*w + 14 What is the v'th term of -2182830, -2182833, -2182836, -2182839, -2182842, -2182845? -3*v - 2182827 What is the j'th term of 131260, 262543, 393826? 131283*j - 23 What is the y'th term of -52744, -52994, -53244, -53494, -53744? -250*y - 52494 What is the r'th term of -8853, -14604, -20363, -26136, -31929, -37748? -r**3 + 2*r**2 - 5750*r - 3104 What is the p'th term of -145, 21, 81, -19, -333, -915, -1819? -9*p**3 + p**2 + 226*p - 363 What is the m'th term of -8446, -16417, -23912, -30925, -37450, -43481? m**3 + 232*m**2 - 8674*m - 5 What is the m'th term of -1382024, -1382006, -1381980, -1381946, -1381904? 4*m**2 + 6*m - 1382034 What is the y'th term of 51258, 51228, 51182, 51120? -8*y**2 - 6*y + 51272 What is the s'th term of -1325, -1297, -1179, -917, -457? 9*s**3 - 9*s**2 - 8*s - 1317 What is the z'th term of 32278, 32206, 32130, 32050, 31966? -2*z**2 - 66*z + 32346 What is the z'th term of 263957, 1055861, 2375711, 4223507, 6599249, 9502937? 263973*z**2 - 15*z - 1 What is the s'th term of 12198, 50092, 113248, 201666? 12631*s**2 + s - 434 What is the x'th ter
{ "pile_set_name": "DM Mathematics" }
derivative of 121526971*d**2 + d + 34582804 wrt d? 243053942 What is the second derivative of -23355*h**3*v**2 - 284*h**2*v**3 - 756877*h - 25*v**3 - 3*v**2 wrt h? -140130*h*v**2 - 568*v**3 Find the first derivative of -44*m**2*n**4 + 22*m**2 - m - 13168*n**4 + 15848 wrt n. -176*m**2*n**3 - 52672*n**3 What is the derivative of -282884*d**3*j - 9150836*d**3 - 3*d**2*j - 2 wrt j? -282884*d**3 - 3*d**2 What is the third derivative of -i**3*s - 877522*i**3 + i**2*s + 182143*s wrt i? -6*s - 5265132 What is the third derivative of 1254188*b**3*l + 5*b**3*t**2 + 2*b**2*l*t**2 - 15*b**2 - 1043*b*l*t - 16 wrt b? 7525128*l + 30*t**2 Differentiate 11891812*s**4 - 5*s - 76634561 with respect to s. 47567248*s**3 - 5 Differentiate 279363034*u*y - 280952953*y wrt u. 279363034*y What is the first derivative of -102*i*k - 1214*i + 15063589*k wrt i? -102*k - 1214 Find the third derivative of -676*v**4 + 4958*v**3 + 4314*v**2 + 124 wrt v. -16224*v + 29748 Differentiate -10*k*l + 128428720*k - 5694164*l wrt l. -10*k - 5694164 What is the first derivative of -50840077*v + 44726015? -50840077 Find the first derivative of 3924*o**2 - 923*o + 734476387. 7848*o - 923 Find the third derivative of -172*x**5 - 2604*x**4 - 36*x**2 - 1526*x - 6. -10320*x**2 - 62496*x What is the third derivative of 51818*o**4 + 443*o**3 + 297*o**2 + 76326 wrt o? 1243632*o + 2658 Find the first derivative of -896875061*w**3 + 850373316. -2690625183*w**2 What is the derivative of 187*t**3 - 3975*t**2 - t - 12700280? 561*t**2 - 7950*t - 1 What is the second derivative of 222661247*s**2 - 4488332*s - 7? 445322494 What is the second derivative of 84030*d**2*m**3 - d**2 - 303*d*m**3 + 94947224*m wrt m? 504180*d**2*m - 1818*d*m What is the third derivative of -2*q**5 - 707310*q**4 + 3*q**3 + 24*q**2 + 10403*q - 3? -120*q**2 - 16975440*q + 18 What is the second derivative of 5977139*j**2 - 2*j + 4972350 wrt j? 11954278 Find the second derivative of -10957*a**4*m + 334*a**4 - 3*a*m - 3*a - 9839*m wrt a. -131484*a**2*m + 4008*a**2 Find the second derivative of 518648447*f**5 + 201187150*f wrt f. 10372968940*f**3 What is the derivative of 470866*a**2*b - 449*a**2 + 87*a*b**4 - 54*a + 12 wrt b? 470866*a**2 + 348*a*b**3 What is the derivative of 7*z**2 + 6375282*z + 76710064 wrt z? 14*z + 6375282 What is the second derivative of -8263065*n**2 + 185*n + 10398? -16526130 What is the third derivative of 201695166*w**3 + 40*w**2 - 130*w - 2360? 1210170996 Find the second derivative of 706*j**2*m**2*y + 12*j**2*y - 749*j**2 - 7*j*m**2*y + 3*j*m*y + 2*j*m + 10*m**2*y + 9*y wrt m. 1412*j**2*y - 14*j*y + 20*y Find the second derivative of -b**5 + 291*b**3 + 1492*b**2 + 524458*b - 4 wrt b. -20*b**3 + 1746*b + 2984 What is the first derivative of y**4 + 6322705*y**2 - 2363519? 4*y**3 + 12645410*y What is the third derivative of 662031*h**6 + 4*h**3 - 611*h**2 + 920 wrt h? 79443720*h**3 + 24 Find the second derivative of 2*b**4 - 13332451*b**3 + 57407114*b. 24*b**2 - 79994706*b Differentiate -169808913*j*n**3 - 2*j*n - 249461*n**3 - 2*n**2 - 33*n - 1 with respect to j. -169808913*n**3 - 2*n Find the first derivative of -171818638*s*x**3 - 7*x**3 - 2*x**2 - 135024*x wrt s. -171818638*x**3 What is the first derivative of -644792320*z - 58840589? -644792320 What is the first derivative of 1488850*g**4 - g**2 - 3648064? 5955400*g**3 - 2*g What is the first derivative of -392230*a**2 - 346*a + 540328114? -784460*a - 346 Find the second derivative of -10*l*z**2 - 326*l*z - 2*l - 351641*z**4 - 1053*z wrt z. -20*l - 4219692*z**2 What is the third derivative of -404917229*t**4 + 414674075*t**2 wrt t? -9718013496*t Find the first derivative of 4*f**3*l**2 + 700504*f**3*l + 6062850*f**3 wrt l. 8*f**3*l + 700504*f**3 What is the derivative of 740827789*s - 248514156? 740827789 What is the second derivative of 179295447*v**4 + 7327492*v + 35? 2151545364*v**2 Find the second derivative of 118153*d**2*f**2 - 9*d**2*f + d**2*i + 3*d*f**2*i - 4*d*i + 133*f**2 + 7*f*i - 10*f - i + 2 wrt d. 236306*f**2 - 18*f + 2*i Find the first derivative of 591747987*d**4 - 161740200 wrt d. 2366991948*d**3 What is the third derivative of 55*p**4*w - 11*p**4 - 2162*p**3*w + 2803*p**2*w + 3*p**2 + 55*w + 1 wrt p? 1320*p*w - 264*p - 12972*w What is the third derivative of -100*b**3*y**3 - 15442*b**3*y**2 - 49*b**2*y**3 + b**2*y**2 + 52*b**2 + 2*b*y + y**3 - 1180 wrt b? -600*y**3 - 92652*y**2 Find the third derivative of -105268795*l**4 - 3*l**2 - 27*l - 125690. -2526451080*l Find the third derivative of -4179409*n**5 - 2158106*n**2 wrt n. -250764540*n**2 What is the third derivative of 6*l**6 + 351*l**5 - 54*l**3 - 4*l**2 + 158*l + 517? 720*l**3 + 21060*l**2 - 324 Find the third derivative of 538943*x**5 + 26*x**4 - x**3 + 2*x**2 - 5889912. 32336580*x**2 + 624*x - 6 What is the third derivative of -2*k**4*x - 993279*k**4 + 2*k**3*x + 3*k**2*x + 2*k**2 - 9*x + 24067 wrt k? -48*k*x - 23838696*k + 12*x What is the third derivative of 209*i**2*k**3 + 8839*i**2*k**2 + 90*i**2*k + 8*i**2 - 2609*i*k**3 + 196*k**3 - 3 wrt k? 1254*i**2 - 15654*i + 1176 What is the third derivative of -m**6 - 161128590*m**4 + 559913459*m**2 wrt m? -120*m**3 - 3867086160*m What is the second derivative of -14211*f**2*k**2 + 7226*f**2*k - 39*f**2 + 5*f*k**2 + 9*f*k + 3*f - 13*k**2 wrt k? -28422*f**2 + 10*f - 26 Find the first derivative of a*d**2 - 32*a*d - 4*a - d**2 + 3690*d - 134354 wrt d. 2*a*d - 32*a - 2*d + 3690 Differentiate 13233247*m*p**3*r - 12*p**3 + 317024*r with respect to m. 13233247*p**3*r What is the first derivative of -323564523*a - 254875631? -323564523 Find the third derivative of -2*v**5 + 5908856*v**3 + v**2 + 470250*v + 3. -120*v**2 + 35453136 Find the third derivative of -419461*p**5 + 33*p**3 - 71834345*p**2. -25167660*p**2 + 198 Find the third derivative of -9673995*w**3 - 2*w**2 - 740*w - 4292. -58043970 What is the first derivative of 31067*h**3*k + h**3*o*y + 22*h**3*o + 2*h**3*y + 2*h**2*k - 354*h**2*o + h*k*o*y + 2*h*o - y wrt k? 31067*h**3 + 2*h**2 + h*o*y Differentiate 60*a**3*l**2 + 92*a**3 + 167259*a**2*l**3 - 2*a**2 + 615*a + 2 with respect to l. 120*a**3*l + 501777*a**2*l**2 What is the third derivative of 3*k**6*x - 727682*k**4*x**3 - 145225*k**2*x**3 - 2*k**2 wrt k? 360*k**3*x - 17464368*k*x**3 Find the first derivative of -68071862*a - 89455725. -68071862 Find the third derivative of 365937*v**6 - 12*v**3 - 180*v**2 - 428. 43912440*v**3 - 72 Differentiate -147868274*j**3 - 70176018 with respect to j. -443604822*j**2 What is the third derivative of 207636*f**5*k - f**3 + 46*f**2 - 910*k wrt f? 12458160*f**2*k - 6 What is the second derivative of -4620032*i*r**2 - 1102*i + r**4 + 3030*r wrt r? -9240064*i + 12*r**2 What is the second derivative of -1364360*r**2 - 293*r + 897 wrt r? -2728720 Find the first derivative of 2*a**3*c - a**3 - a**2*c + 216*a**2 + 283*a*c - 928*a + 25514*c + 12 wrt c. 2*a**3 - a**2 + 283*a + 25514 Differentiate -7160292*b - 34125005 with respect to b. -7160292 Find the first derivative of 57716202*a*u**3 + 1135*u**3 - 783*u wrt a. 57716202*u**3 What is the first derivative of 175762736*q*x + 64078947*x wrt q? 175762736*x Find the third derivative of 19*o**3*x**2 + 106*o**3*x - 8182*o**3 - 7*o**2*x**2 - o**2 - 28927*o*x + 23*x**2 + 2*x wrt o. 114*x**2 + 636*x - 49092 Differentiate -2*c**2*s - 343*c**2*x + 125*c**2 - 2*c*s*x + c*x - 465322*s*x - 12*x with respect to s. -2*c**2 - 2*c*x - 465322*x What is the second derivative of 2164*w**5 + 4*w**4 + 196*w**2 - 376824241*w? 43280*w**3 + 48*w**2 + 392 What is the derivative of -899908*b**2 + 3*b - 33126204? -1799816*b + 3 Find the third derivative of 113023*w**5 - 2*w**4 - 3*w**3 - 379*w**2 - 1343*w - 2. 6781380*w**2 - 48*w - 18 What is the second derivative of 54859853*x**4 + 6071*x + 7232 wrt x? 658318236*x**2 What is the second derivative of 56333007*h**5 + 244134853*h? 1126660140*h**3 Find the second derivative of -46924120*s**2 - 7*s + 1599656. -93848240 Find the second derivative of -13850109*v**2 - 5*v - 410002. -27700218 What is the first derivative of 2*k*o*r + 284*k*o - 47*k + 65*o*r**2 + 42364*o*r + o wrt r? 2*k*o + 130*o*r + 42364*o What is the derivative of 188463599*i**4 - i - 112034831? 753854396*i**3 - 1 Find the second derivative of -44185080*f**3
{ "pile_set_name": "DM Mathematics" }
? 14462 In base 6, what is 115 - 5? 110 In base 6, what is -201 + -15? -220 In base 4, what is -3 + 21121? 21112 In base 15, what is -200 - 2? -202 In base 13, what is -3 - 300? -303 In base 9, what is -2 + 0? -2 In base 4, what is 3002232 + -1? 3002231 In base 12, what is 206a - 3? 2067 In base 5, what is 2 - 342? -340 In base 4, what is -10 + -1020? -1030 In base 15, what is 3 - -31? 34 In base 10, what is -13 - 4? -17 In base 11, what is -16 + 13? -3 In base 15, what is 11a - -18? 133 In base 7, what is -4531 + 2? -4526 In base 5, what is 22 - 1? 21 In base 15, what is -546 + -1? -547 In base 9, what is -3 - -1740? 1736 In base 13, what is -3 - -2255? 2252 In base 7, what is 5 + 4356? 4364 In base 10, what is -28 - -31? 3 In base 2, what is -11 + -11010110? -11011001 In base 14, what is 7 + -54? -4b In base 5, what is -4023 - 121? -4144 In base 9, what is 548 + 5? 554 In base 4, what is 201 - 12312? -12111 In base 12, what is -1 + -167? -168 In base 11, what is 73 + -7? 67 In base 13, what is -3 - -34? 31 In base 10, what is -114 - -7? -107 In base 4, what is -3 + -11211? -11220 In base 15, what is -b + a? -1 In base 7, what is -424 - 155? -612 In base 13, what is 1 - ab? -aa In base 15, what is 1 - 629? -628 In base 7, what is -2 - 553? -555 In base 13, what is -1 + -20? -21 In base 13, what is -c13 + 0? -c13 In base 11, what is -35 - 0? -35 In base 8, what is -5334 + -11? -5345 In base 10, what is 464 - -4? 468 In base 3, what is -2 + -111012? -111021 In base 13, what is -2 + 6b? 69 In base 6, what is -1043 - 1? -1044 In base 2, what is -101111001 + 1011? -101101110 In base 9, what is 234 - 1? 233 In base 10, what is 162 + 5? 167 In base 9, what is -30 + 23? -6 In base 11, what is -3 + 11a? 117 In base 12, what is 6a + 9b? 149 In base 10, what is -49 - -3? -46 In base 2, what is -1010101001101000 - 10? -1010101001101010 In base 2, what is 11 - 101011101? -101011010 In base 15, what is -3 - 6? -9 In base 2, what is -100001010000 - 1? -100001010001 In base 4, what is 3 + 310103? 310112 In base 12, what is 330 + 5? 335 In base 7, what is -3 - 6545? -6551 In base 3, what is 1210 - -2? 1212 In base 3, what is 12002 - 1101? 10201 In base 6, what is 32 + 13? 45 In base 13, what is 663 + -2? 661 In base 5, what is 3 - -13012? 13020 In base 2, what is -11101110 + 10? -11101100 In base 13, what is 4c - -14? 63 In base 2, what is 1011 - -100? 1111 In base 10, what is -5 - 852? -857 In base 8, what is -3 + 12711? 12706 In base 10, what is -424 - 11? -435 In base 16, what is 2a - 2? 28 In base 11, what is -3953 + 4? -394a In base 9, what is -1200 - -3? -1186 In base 2, what is -1 - -1111100000? 1111011111 In base 9, what is -20 + 4? -15 In base 16, what is -2 + 14c? 14a In base 4, what is -10 + -322? -332 In base 2, what is 101 - -110000? 110101 In base 5, what is 2 + 342? 344 In base 15, what is 2 + 33? 35 In base 10, what is 11 - -56? 67 In base 2, what is 10010 - 0? 10010 In base 10, what is -2 + -8? -10 In base 15, what is -5c + 0? -5c In base 12, what is -13 - 1? -14 In base 6, what is -3 - 12204? -12211 In base 9, what is -28576 + 5? -28571 In base 16, what is 67 + 0? 67 In base 10, what is 10 + -783? -773 In base 9, what is 1 + -247? -246 In base 15, what is 1b + 8a? a6 In base 10, what is 0 + -1431? -1431 In base 2, what is 101110010000 - -10? 101110010010 In base 6, what is 300 + -14? 242 In base 10, what is -1100 - -15? -1085 In base 11, what is -511 + -5? -516 In base 5, what is -43 - 103? -201 In base 3, what is -11 - 1011001? -1011012 In base 10, what is 84 + 122? 206 In base 3, what is 22011 - 11? 22000 In base 11, what is -529 + -4? -532 In base 12, what is 273 - 15? 25a In base 15, what is -2 - -c1? be In base 12, what is 4 - 2a? -26 In base 2, what is 10001011 - 1110? 1111101 In base 10, what is -18 + 1? -17 In base 10, what is 119 - -7? 126 In base 12, what is b2 + 2? b4 In base 3, what is -2 + 101221? 101212 In base 8, what is -115 + -4? -121 In base 5, what is -1 + 121? 120 In base 11, what is 417 - 3? 414 In base 10, what is 7 - 4? 3 In base 16, what is -2553 - -3? -2550 In base 4, what is -10030010 - -1? -10030003 In base 16, what is -a5 - d? -b2 In base 14, what is 5 - 5b? -56 In base 9, what is -157 + 2? -155 In base 14, what is -29 - -4? -25 In base 15, what is 6b - -7? 73 In base 7, what is -1003 - -35? -635 In base 2, what is 100111010010 + -1? 100111010001 In base 6, what is 10123 - 1? 10122 In base 13, what is 3 + 109? 10c In base 8, what is 52 + -3? 47 In base 2, what is 1 - -101000? 101001 In base 15, what is -3c + 5? -37 In base 16, what is ccf + -2? ccd In base 7, what is 2634 - -2? 2636 In base 8, what is 3164 + -3? 3161 In base 7, what is -2 - -3550? 3545 In base 7, what is -403 - -14? -356 In base 6, what is -3 + -230? -233 In base 14, what is -3 + -2? -5 In base 6, what is -10 - -243? 233 In base 10, what is -4 + 1503? 1499 In base 10, what is 352 - -4? 356 In base 12, what is -38 + -4? -40 In base 15, what is 2 - 1497? -1495 In base 9, what is 70 - 8? 61 In base 13, what is -5 - 1477? -147c In base 16, what is -6 - 44e? -454 In base 15, what is -105a + 5? -1055 In base 8, what is -724 - 3? -727 In base 3, what is 1 - 102210? -102202 In base 3, what is -12220 + 12? -12201 In base 5, what is -142 - 4? -201 In base 12, what is 13 - 53b? -528 In base 11, what is -1 + -27? -28 In base 6, what is 0 - 131? -131 In base 14, what is 2 - -31b1? 31b3 In base 3, what is -21 - 221? -1012 In base 15, what is 8c + 2? 8e In base 12, what is -1829 - -2? -1827 In base 5, what is -44244 - -4? -44240 In base 2, what is -1001000 + -100? -1001100 In base 14, what is aa - 6? a4 In base 5, what is -10414 + -4? -10423 In base 12, what is -7 + -40b? -416 In base 16, what is -2991 + -1? -2992 In base 9, what is 7513 - 0? 7513 In base 4, what is -1 + -1120012? -1120013 In base 14, what is 1 + -c? -b In base 9, what is -12 - -327? 315 In base 10, what is -3 + 41? 38 In base 2, what is -101001100 - -10? -101001010 In base 16, what is 7 - 9? -2 In base 7, what is -25016 - -3? -25013 In base 12, what is -4 - -1470? 1468 In base 16, what is 3 - -23? 26 In base 11, what is 2586 + 5? 2590 In base 9, what is 71 - -4? 75 In base 13, what is 170 + 13? 183 In base 15, what is 10 - -a? 1a In base 16, what is 1c85 + 2? 1c87 In base 11, what is -643 - 3? -646 In base 16, what is 2 - 14? -12 In base 14, what is -5d + 8? -55 In base 9, what is -8 - -2341? 2332 In base 11, what is -92 + 57? -36 In base 3, what is 100021 + 101? 100122 In base 9, what is -213 - -1? -212 In base 7, what is 3 + -5? -2 In base 7, what is 0 + -1003? -1003 In base 2, what is -10011 - -1001? -1010 In base 7, what is 3 + -23? -20 In base 11, what is 3 - -11a? 122 In base 11, what is -12 - 394? -3a6 In base 3, what is 0 - 1102? -1102 In base 13, what is 6 + -b0? -a7 In base 12, what is 15a - -5? 163 In base 3, what is 2100 - -12? 2112 In base 8, what is -1 + -3005? -3006 In base 16, what is 690 + -2? 68e In base 7, what is -205 - 1? -206 In base 5, what is -2 - 3? -10 In base 5, what is 21 + 2213? 2234 In base 11, what is 0 + -2aa? -2aa In base 8, what is 2765 + -12? 2753 In base 2, what is 11011001101 - -101? 11011010010 In base 9, what is 0 - 366? -366 In base 12, what is 56b + -1? 56a In base 8, what is 3 + -226? -223 In base 6, what is -50 + -24? -114 In base 13, what is -4 - -1230? 1229 In base 12, what is 8 + 13? 1b In base 4, what is -2023 - 3? -2032 In base 9, what is -416 - 56? -473 In base 15, what is -16 + -7? -1d In base 5, what is -4 - 43341? -43400 In base 11, what is -1 - 80? -81 In base 12, what is -1 + 17b5? 17b4 In base 4, what is -33 - 232? -331 In base 3, what is 101 - 111? -10 In base 15, what is de9 + -4? de5 In base 6, what is -3 + 1133? 1130 In base 16, what is -28 - 2? -2a In base 5, what is 43 - -30? 123 In base 12, what is 29 - 4? 25 In base 6, what is 14 + 22? 40 In base 6, what is -310 - -4? -302 In base 14, what is 33 - 38? -5 In base 2, what is 100 + -1010011110? -1010011010 In base 9, what is -438 - 62? -511 In base 16, what is -1fc - -1? -1fb In base 14, what is 2 - 38? -36 In base 9, what is 76 + 7? 84 In base 11, what is 11419 + 4? 11422 In base 9, what is 18 - 24? -5 In base 12, what is -5 - -7? 2 In base 11, what is -1 - -157? 156 In base 4, w
{ "pile_set_name": "DM Mathematics" }
reatest common divisor of 3 and z. 3 Let x be ((-7)/(-77) + 123/(-22))*-2. Suppose -3*j + 74 = -58. Calculate the greatest common factor of j and x. 11 Suppose 5*k = -3*b + 5*b - 381, -3*b = -5*k - 569. Suppose -b - 252 = -5*g. What is the greatest common divisor of g and 8? 8 Let u(n) = n + 8. Let d be u(-4). Suppose -4*w - 4*q = -0*w - 12, 5*q + 30 = 4*w. Let r be 9/15 + 97/w. Calculate the highest common factor of d and r. 4 Let a(f) = 2*f**2 + 8*f + 9. Let c be a(9). Suppose -t = 2*t - c. Calculate the greatest common divisor of 54 and t. 27 Let y be 4/14 + 60/(-504)*-174. Calculate the greatest common divisor of 189 and y. 21 Let k(p) = 99*p + 2. Let w be k(2). Let i(o) = o**2 + 15*o + 16. Let c be i(-17). Suppose 15*l - 17*l = -c. Calculate the highest common factor of w and l. 25 Let d be 64/(-2 + 3) + -1. Let f = 134 + 3. Suppose 73 + f = 5*j. What is the highest common factor of j and d? 21 Let a(k) = -2*k**2 + 20*k - 5. Let s = 35 + -26. Let j be a(s). Calculate the greatest common divisor of j and 13. 13 Suppose 0 = 3*c - 2*n - 87, 0*n - n = 3*c - 78. Let z = -11 + c. Calculate the greatest common divisor of z and 8. 8 Let a be (-2)/(-9) - 43/(-9). Let n(h) = 148*h + 2. Let x be n(a). Let b be 2/9 - x/(-63). Calculate the greatest common factor of 24 and b. 12 Suppose -3*o + 5*j - 53 = -5*o, 3*o = j + 105. What is the highest common divisor of 1 and o? 1 Let t(l) = 2*l**3 - 5*l**2 - 2*l + 2. Let y be t(3). Let q = 1 - 3. Let o = q + 27. What is the greatest common factor of o and y? 5 Suppose -10*b + 7*b = -1197. Calculate the highest common factor of 21 and b. 21 Let u be ((-42)/(-4))/(12/16). Let k = 176 - u. Let f = 261 - k. What is the highest common divisor of f and 11? 11 Suppose 2*l + t - 40 = 4*t, 0 = 4*t. Suppose 4*v + 0*u - 4*u - 1136 = 0, -4*u = l. Suppose -5*y + v = -666. Calculate the highest common factor of 21 and y. 21 Let x = -28 + -52. Let q = -79 - x. Calculate the greatest common divisor of 2 and q. 1 Let r be (-1701)/(-18)*(-6)/(-9). What is the highest common divisor of r and 6? 3 Suppose -3*t - 28 = -v, -t + 122 = 3*v + 8. Calculate the greatest common factor of v and 1073. 37 Suppose -35*v - 167 = -38*v - 5*k, 161 = 3*v - k. Calculate the greatest common divisor of v and 36. 18 Let f(z) = -15*z + 2. Let o be f(4). Let p = o + 19. Let w be 40/30*p/(-2). Calculate the greatest common factor of w and 26. 26 Suppose 0 = 5*p - 5002 + 377. Calculate the highest common factor of p and 37. 37 Let w(v) = 4*v + 52. Let g(r) = 4*r + 54. Let o(n) = 4*g(n) - 3*w(n). Let f be o(-10). What is the greatest common factor of f and 40? 20 Suppose 12*m - 2247 = -567. Suppose 8*p = p + m. Calculate the highest common divisor of p and 30. 10 Suppose -5*c - 4*r + 3892 = 0, 4*c - 2*r = 4577 - 1453. What is the highest common factor of c and 40? 20 Let y = -79 - -93. Suppose -1944 = -4*k - y*k. What is the greatest common divisor of 27 and k? 27 Let b = 14 + 0. Suppose 3*j - 5*s = 49, 4*s - 15 + 88 = 5*j. Let m = j - 11. What is the highest common factor of m and b? 2 Let n = -75 - -150. What is the highest common divisor of n and 100? 25 Let c(n) = 67*n - 91. Let k be c(12). What is the greatest common factor of 23 and k? 23 Suppose -2*p + 5*p + 270 = 3*g, -2*g - 5*p + 208 = 0. Calculate the greatest common factor of 141 and g. 47 Suppose 3*z + 5 = 29. Let j be (20/(-15))/((-4)/6). Suppose 0 = j*c - 19 - 157. Calculate the highest common divisor of z and c. 8 Suppose 4 = a + 5*c, -5*a - 4*c + 12 = -8. Suppose 0 = -5*s + 3*q, 0 = 3*s - a*s - 3*q. Let x be 2 + 0/3 - s. What is the greatest common divisor of x and 16? 2 Suppose 7*r = 2*g + 2*r - 30, 0 = 3*g + 3*r - 3. Suppose g*b + 86 = 356. Calculate the greatest common divisor of 81 and b. 27 Suppose -7*j + 129 = 3*v - 10*j, -v + 28 = -4*j. Let m be (-60)/(-2)*(-2)/(-5). Calculate the highest common factor of v and m. 12 Let m(s) be the first derivative of -11 + 1/3*s**3 + 11*s + 3/2*s**2. Let g be m(0). What is the highest common divisor of g and 55? 11 Let t = 39 - 42. Let q = 128 - 62. Let u be (q/(-9))/(2/t). Calculate the greatest common factor of 66 and u. 11 Let m be -39*((-55)/363 - 4/22). Calculate the highest common factor of m and 13. 13 Suppose f - 62 = -0*f + 5*h, 5*f = 2*h + 425. Let j = -37 + f. Suppose 6*y - 87 = -27. Calculate the highest common factor of j and y. 10 Let w = 0 - 0. Suppose -26 = -2*c - w*c. Suppose 0 = 10*z - 106 - 24. Calculate the highest common divisor of z and c. 13 Let o be (2 - (-195)/(-9))*-15. Let f be (-2)/3 - o/(-15). Let t = -37 - -132. Calculate the highest common divisor of t and f. 19 Let t be 4 + (25 - (4 + 0)) - -3. What is the greatest common divisor of t and 868? 28 Let f = -336 - -580. What is the greatest common divisor of 427 and f? 61 Suppose 0 = -4*p - 11 + 55. Let r = p - 3. What is the greatest common divisor of r and 16? 8 Let j = 35 + 4. Suppose j = 5*b - 11. Suppose 0 = p - 5*n - 40, -5*p + 293 = -n + 93. What is the highest common divisor of b and p? 10 Suppose 2102*z = 2091*z + 440. Calculate the greatest common divisor of 190 and z. 10 Suppose 3*p - 36 = -2*a, 5*p + 2*a - 14 - 46 = 0. Let w be 712/60 + (-10)/(-75). What is the greatest common divisor of p and w? 12 Let v = -867 + 2778. Calculate the highest common factor of 39 and v. 39 Let b be (-2)/6 - 13/(-3). Let c be 1972/20 - b/(-10). Let s = 115 + -106. What is the greatest common divisor of c and s? 9 Let c(a) = -a**2 - 11*a - 20. Let h be c(-6). Let u = 15 - 5. Calculate the greatest common factor of h and u. 10 Let p = 12547 + -12371. Let g(x) = x**3 - 5*x**2 + 6*x - 6. Let z be g(4). Let v be z/(-7) - (-228)/14. Calculate the highest common factor of p and v. 16 Let s be -2 + (-24)/(-10) - (-2151)/(-15). Let v = s + 203. Suppose -4*i + 2*p = -104, i - 39 = 2*p - 7. Calculate the highest common factor of i and v. 12 Let v = -12 + 17. Suppose -5*a + 43 = v*b - 22, -4*a = -3*b - 24. Suppose 4*c - 6 = -q + 2*q, 4*c - 3*q = 10. What is the highest common divisor of c and a? 1 Let z = -107 - -57. Let m = -16 - z. Calculate the greatest common divisor of m and 85. 17 Let p be -7 + 1196*(-11)/(-44). What is the highest common factor of 16 and p? 4 Let y(w) = 47*w + 5. Let b be y(1). Calculate the greatest common factor of 52 and b. 52 Let j be 6*-1*(-5)/10. Suppose -3*h = -3*s + 162, -5*s + j*h + 270 = -h. What is the highest common divisor of 6 and s? 6 Suppose -5*c = -4*y + 473, -2*y = 3*c - c - 232. Calculate the greatest common divisor of y and 6. 3 Let t = -55 + 59. Suppose 5*h - 27 = -3*d, 4*h + t*d - 20 - 8 = 0. Calculate the greatest common factor of h and 24. 3 Let i(o) = -o**2 - 11*o + 4. Let t be i(-6). Let p be 34/(-9*5/(-225)). Calculate the highest common factor of t and p. 34 Let o be 2/(-4) - 21/(-2). Let b be 13*((-28)/35)/((-1)/5). Suppose -9*z - b = -22*z. Calculate the greatest common divisor of z and o. 2 Suppose -5*x + 10 = -h, 4*h + 2 = 2*x - x. Suppose 3*u - 33 = -h*u. Calculate the greatest common divisor of u and 121. 11 Let p(w) = -6 + 4 + 2 + 14*w. Let b be p(-1). Let r = b + 32. What is the greatest common factor of 6 and r? 6 Suppose d = -2*d + 6. Let q be (-62)/(-6) - d/6. Suppose 6*i = q*i - 60. What is the greatest common factor of i and 135? 15 Let i(r) = 37*r**2 + 16*r + 7. Let z be i(4). Calculate the highest common factor of z and 51. 51 Let l = -4147 - -4158. Let r = -6 + 10. Suppose k = r*k - 3. What is the greatest common factor of k and l? 1 Suppose -11*y + 1159 + 106 = 0. Calculate the highest common factor of 23 and y. 23 Let y = 12 - 8. Suppose 4*b = 3*l + 798 - 239, -l + 555 = y*b. Let t = b - -4. What is the greatest common factor of t and 13? 13 Suppose -10*d - d + 4367 = 0. Suppose d = 8*s + 61. Calculate the greatest common divisor of 63 and s. 21 Let t = 110 - 39. What is the greatest common factor of t and 284? 71 Let a be ((-3)/(-6))/(1/(-34)). Let v = a + 19. Suppose 28 = 2*h + 4*r, 3*r = -v*r. Calculate the highest common divisor of 126 and h. 14 Let s be (-11)/(22/(-8)) + 22. What is the greatest common factor of 416 and s? 26 Let n(g) = -3*g**2 - 63*g + 16. Let c be n(-21). What is the highest common divisor of c and 368? 16 Let n be 1179/6*4/6. Let s = n - 81. Suppose 49 + s = 3*d. Calculate the greatest c
{ "pile_set_name": "DM Mathematics" }
9618, 22878, 44754, 77400? 359*b**3 - 23*b - 6 What is the o'th term of -136, -541, -1636, -3763, -7264? -57*o**3 - 3*o**2 + 3*o - 79 What is the a'th term of 781, 1626, 2471? 845*a - 64 What is the d'th term of -246838, -493654, -740472, -987292, -1234114, -1480938, -1727764? -d**2 - 246813*d - 24 What is the w'th term of 60471, 121002, 181533, 242064? 60531*w - 60 What is the l'th term of 176, -49, -286, -541, -820, -1129, -1474, -1861? -l**3 - 218*l + 395 What is the k'th term of 291826, 583657, 875488, 1167319? 291831*k - 5 What is the k'th term of -284, -685, -1118, -1589, -2104, -2669, -3290? -k**3 - 10*k**2 - 364*k + 91 What is the r'th term of 102831, 102880, 102941, 103020, 103123, 103256, 103425, 103636? r**3 + 42*r + 102788 What is the h'th term of 10191, 20380, 30569, 40758, 50947? 10189*h + 2 What is the v'th term of 14248, 28497, 42746, 56995? 14249*v - 1 What is the f'th term of 378, 2083, 6706, 15705, 30538, 52663? 243*f**3 + f**2 + f + 133 What is the i'th term of -8, 414, 1118, 2104, 3372, 4922? 141*i**2 - i - 148 What is the r'th term of -618641, -2474573, -5567793, -9898301, -15466097? -618644*r**2 + 3 What is the l'th term of -16, -92, -296, -688, -1328, -2276, -3592, -5336? -10*l**3 - 4*l**2 + 6*l - 8 What is the l'th term of -1040, -1070, -1148, -1298, -1544? -4*l**3 - 2*l - 1034 What is the r'th term of 988277, 988278, 988279, 988280? r + 988276 What is the l'th term of -117361, -234726, -352091, -469456, -586821? -117365*l + 4 What is the s'th term of -302005, -302010, -302013, -302014, -302013? s**2 - 8*s - 301998 What is the f'th term of 107, 249, 453, 719, 1047, 1437, 1889? 31*f**2 + 49*f + 27 What is the p'th term of 546056, 1092114, 1638172? 546058*p - 2 What is the k'th term of 5048, 40389, 136310, 323099, 631044? 5048*k**3 + 2*k**2 - k - 1 What is the f'th term of 33, 85, 147, 225, 325, 453? f**3 - f**2 + 48*f - 15 What is the g'th term of -678, -675, -662, -633, -582? g**3 - g**2 - g - 677 What is the g'th term of -1063, -2162, -3261, -4360, -5459? -1099*g + 36 What is the i'th term of -235, -296, -347, -394, -443, -500, -571, -662? -i**3 + 11*i**2 - 87*i - 158 What is the b'th term of 216281, 216357, 216431, 216503, 216573, 216641, 216707? -b**2 + 79*b + 216203 What is the v'th term of -1572, -1838, -2288, -2928, -3764, -4802, -6048, -7508? -v**3 - 86*v**2 - v - 1484 What is the t'th term of -1072, -4301, -9678, -17203, -26876, -38697, -52666? -1074*t**2 - 7*t + 9 What is the x'th term of 89, 333, 717, 1223, 1833? -3*x**3 + 88*x**2 + x + 3 What is the v'th term of -15379, -15365, -15349, -15331, -15311? v**2 + 11*v - 15391 What is the q'th term of 2298779, 4597559, 6896339, 9195119? 2298780*q - 1 What is the w'th term of 5350, 6504, 7658? 1154*w + 4196 What is the g'th term of -533, -1006, -1479, -1952, -2425, -2898? -473*g - 60 What is the g'th term of 149, 306, 571, 950, 1449, 2074? g**3 + 48*g**2 + 6*g + 94 What is the b'th term of 56, 430, 1440, 3398, 6616, 11406? 52*b**3 + 6*b**2 - 8*b + 6 What is the u'th term of -212393, -212391, -212389, -212387? 2*u - 212395 What is the l'th term of 14085, 28171, 42257, 56343? 14086*l - 1 What is the x'th term of -542, -999, -1752, -2801, -4146, -5787? -148*x**2 - 13*x - 381 What is the r'th term of -40257, -40259, -40259, -40257, -40253? r**2 - 5*r - 40253 What is the n'th term of -85086, -85087, -85090, -85095, -85102? -n**2 + 2*n - 85087 What is the x'th term of -15236, -15061, -14886? 175*x - 15411 What is the q'th term of 144938, 144931, 144910, 144869, 144802? -q**3 - q**2 + 3*q + 144937 What is the h'th term of -18293, -18287, -18281, -18275? 6*h - 18299 What is the u'th term of 69392, 138807, 208224, 277643, 347064? u**2 + 69412*u - 21 What is the v'th term of -126, -305, -586, -969, -1454, -2041, -2730? -51*v**2 - 26*v - 49 What is the f'th term of 513, 1146, 1799, 2484, 3213, 3998, 4851, 5784? 2*f**3 - 2*f**2 + 625*f - 112 What is the a'th term of -12598, -50429, -113480, -201751? -12610*a**2 - a + 13 What is the g'th term of 905, 856, 773, 656? -17*g**2 + 2*g + 920 What is the d'th term of 1586, 3157, 4720, 6275, 7822? -4*d**2 + 1583*d + 7 What is the g'th term of 119, 547, 1297, 2381, 3811, 5599? 2*g**3 + 149*g**2 - 33*g + 1 What is the u'th term of 90767, 90780, 90793, 90806, 90819? 13*u + 90754 What is the t'th term of -2602, -5382, -8162, -10942, -13722? -2780*t + 178 What is the s'th term of -4804, -9597, -14378, -19153, -23928, -28709, -33502? -s**3 + 12*s**2 - 4822*s + 7 What is the t'th term of -925, -2107, -3817, -6319, -9877? -44*t**3 - 874*t - 7 What is the f'th term of 74, 157, 276, 425, 598? -f**3 + 24*f**2 + 18*f + 33 What is the u'th term of 36123, 36115, 36107, 36099, 36091? -8*u + 36131 What is the z'th term of 101, 229, 389, 593, 853, 1181, 1589, 2089? 2*z**3 + 4*z**2 + 102*z - 7 What is the h'th term of 34, 115, 244, 421, 646, 919? 24*h**2 + 9*h + 1 What is the f'th term of -86, -280, -716, -1484, -2674, -4376? -15*f**3 - 31*f**2 + 4*f - 44 What is the k'th term of -484, -763, -1038, -1309? 2*k**2 - 285*k - 201 What is the c'th term of -444, -1996, -4654, -8418? -553*c**2 + 107*c + 2 What is the m'th term of 11, 1, -43, -139, -305, -559? -3*m**3 + m**2 + 8*m + 5 What is the n'th term of -31169, -62324, -93479, -124634, -155789, -186944? -31155*n - 14 What is the x'th term of -398, -474, -596, -764? -23*x**2 - 7*x - 368 What is the j'th term of -289, -2283, -7687, -18205, -35541, -61399? -284*j**3 - j**2 - 3*j - 1 What is the r'th term of 5305, 5216, 5127? -89*r + 5394 What is the n'th term of 1536, 5948, 13300, 23592, 36824, 52996, 72108? 1470*n**2 + 2*n + 64 What is the c'th term of -27552, -27539, -27526, -27519, -27524, -27547, -27594, -27671? -c**3 + 6*c**2 + 2*c - 27559 What is the q'th term of -25695, -25770, -25845, -25920? -75*q - 25620 What is the f'th term of 84666, 338622, 761890, 1354476, 2116386, 3047626, 4148202? f**3 + 84650*f**2 - f + 16 What is the h'th term of -119200, -119197, -119194, -119191? 3*h - 119203 What is the k'th term of 9079, 9091, 9107, 9127, 9151, 9179, 9211? 2*k**2 + 6*k + 9071 What is the k'th term of 142, 556, 1244, 2206? 137*k**2 + 3*k + 2 What is the o'th term of -53, -1816, -6997, -17306, -34453, -60148, -96101, -144022? -285*o**3 + o**2 + 229*o + 2 What is the q'th term of -605, -890, -1177, -1466, -1757, -2050, -2345? -q**2 - 282*q - 322 What is the v'th term of -7152, -7147, -7142? 5*v - 7157 What is the n'th term of 4100, 16409, 36928, 65657, 102596, 147745? 4105*n**2 - 6*n + 1 What is the n'th term of -17, -376, -973, -1808, -2881? -119*n**2 - 2*n + 104 What is the s'th term of 4181, 4150, 4125, 4106? 3*s**2 - 40*s + 4218 What is the k'th term of -74, -257, -542, -917, -1370, -1889, -2462, -3077? 2*k**3 - 63*k**2 - 8*k - 5 What is the u'th term of -1126, -973, -712, -343, 134, 719? 54*u**2 - 9*u - 1171 What is the n'th term of -7450, -7449, -7446, -7441, -7434, -7425, -7414? n**2 - 2*n - 7449 What is the y'th term of 206, 262, 346, 470, 646? 2*y**3 + 2*y**2 + 36*y + 166 What is the p'th term of -281, -572, -1065, -1766, -2681, -3816? -p**3 - 95*p**2 + p - 186 What is the w'th term of -8777, -9112, -9445, -9776? w**2 - 338*w - 8440 What is the r'th term of -3794, -7597, -11400, -15203? -3803*r + 9 What is the g'th term of -20980, -20981, -20982, -20983? -g - 20979 What is the t'th term of -1685, -1683, -1681, -1679? 2*t - 1687 What is the i'th term of 720, 2777, 6206, 11007, 17180, 24725? 686*i**2 - i + 35 What is the o'th term of -3452, -6903, -10354, -13805? -3451*o - 1 What is the k'th term of -11640, -46589, -104838, -186387, -291236, -419385? -11650*k**2 + k + 9 What is the j'th term of 101, 547, 1719, 3977, 7681, 13191, 20867? 60*j**3 + 3*j**2 + 17*j + 21 What is the x'th term of 24373, 24374, 24375, 24376, 24377? x + 24372 What is the d'th term of 2425840, 2425841, 2425842, 2425843, 2425844, 2425845? d + 2425839 What is the c'th term of -134305, -134307, -134309, -134311, -134313? -2*c - 134303 What is the f'th term of -9785, -19576, -29369, -39164? -f**2 - 9788*f + 4 What is the r'th term of 4520, 4550, 4600, 4670, 4760? 10*r**2 + 4510 What is the h'th term of -239918, -239917, -239916, -239915, -239914? h - 239919 What is the m'th term of 1202, 4364, 9634, 17012, 26498, 38092? 1054
{ "pile_set_name": "DM Mathematics" }
120*h**2 What is the first derivative of -289*n + 575*n - 180*n + 794 wrt n? 106 Let l be 1/(3 - 8/3). Find the first derivative of -8 + 3*c**l - 116*c**2 + 116*c**2 wrt c. 9*c**2 Find the third derivative of -23*t**3 + 6*t + 23*t**3 + 239*t**6 - 14*t**2 - 801*t**6 wrt t. -67440*t**3 Let b(s) be the first derivative of s**4/2 + s**3/6 - 11*s**2 - 16*s - 52. Let o(n) be the first derivative of b(n). What is the first derivative of o(k) wrt k? 12*k + 1 Suppose -5*f - r = 41, 0 = -5*f + 3*r + r - 36. Let i be -5*2/f*4. Find the second derivative of c - 3*c + 2*c + i*c**4 - 5*c wrt c. 60*c**2 Let p(d) be the third derivative of 89*d**6/40 + d**5/20 - d**4/12 + 30*d**2 - 1. What is the third derivative of p(g) wrt g? 1602 Let r be -2 + ((-84)/(-7) - 7). Let b(v) be the first derivative of r - 3*v + 1/2*v**2. What is the first derivative of b(o) wrt o? 1 Let p(l) = -86*l + 81. Suppose 5*b - 4*x - 15 = 0, -4*b = -0*x + x - 12. Let d(y) = 43*y - 41. Let t(c) = b*p(c) + 5*d(c). Differentiate t(r) wrt r. -43 Let b be 4 - 1/2*4. Suppose -15 = 125*u - 130*u. Find the third derivative of x**u - 63*x**b + 66*x**2 + x**3 wrt x. 12 Let i(b) = 2*b**2 - b. Let u(a) = -470*a**2 + 6*a + 125. Let c(t) = 6*i(t) + u(t). What is the derivative of c(j) wrt j? -916*j Suppose 34*c = 22*c. Let q(h) be the third derivative of 1/6*h**5 - 12*h**2 + c + 0*h + 0*h**3 + 7/120*h**6 + 0*h**4. Find the third derivative of q(s) wrt s. 42 Suppose -19*x = 57 - 152. Let u(m) be the second derivative of 0 + 0*m**2 + 1/6*m**3 - 6*m + 0*m**4 + 3/20*m**x. What is the second derivative of u(z) wrt z? 18*z What is the second derivative of -554*b**2 + 31*b + 211 - 210 - 3*b + 6*b wrt b? -1108 Find the second derivative of -4547*d + 4336*d - 29*d**3 - 13*d**3 wrt d. -252*d Suppose -5*o = 0, 3*x = -3*o - 2*o - 48. Let d be 6 + x/4*1. What is the third derivative of 6*k**d + 8*k**4 + 10*k**4 - 24*k**4 + 7*k**4 wrt k? 24*k Suppose -3*o - c = -319, 3*o - 4*c + 99 = 4*o. What is the second derivative of -107 + 27*l**2 + o + 8*l wrt l? 54 Find the third derivative of 462*m - m**3 - 184*m**2 - 462*m - 5*m**3 - 5*m**4 wrt m. -120*m - 36 Differentiate 35*l**4 + 41 + 42*l**4 - 13*l**4 - 12*l**4 wrt l. 208*l**3 Let z(c) be the first derivative of -15*c**5 - 69*c**2/2 + 96. Find the second derivative of z(n) wrt n. -900*n**2 Let c(x) = 6*x**2 + 14*x + 119. Let u(f) = -6*f**2 - 13*f - 121. Let r(y) = 5*c(y) + 6*u(y). What is the first derivative of r(o) wrt o? -12*o - 8 Let h = 23 + -6. Find the third derivative of 5*n**6 - 8*n**6 - 16*n**6 + 12 - h*n**6 - n**2 wrt n. -4320*n**3 Let i = 92 - 87. What is the third derivative of -9*f**i - f**2 + 5*f**5 + 33*f**5 wrt f? 1740*f**2 Let d(v) = -v + 4. Let o be d(4). What is the third derivative of -6*j**4 + j**4 + o*j**2 - 3*j**4 + 3*j**2 wrt j? -192*j Let a(p) = 128*p**4 + p**3 - 10*p - 234. Let v(u) = 129*u**4 + u**3 - 8*u - 234. Let m(c) = -4*a(c) + 5*v(c). Differentiate m(s) with respect to s. 532*s**3 + 3*s**2 Let c(t) be the first derivative of -3*t**7/7 + 3*t**6 - 17*t**3/3 + t - 33. What is the third derivative of c(r) wrt r? -360*r**3 + 1080*r**2 Let u(n) = n**3 + 6*n**2 + n + 8. Let m be u(-6). Find the second derivative of 28*s - 12*s - 3*s**m - 17*s**2 wrt s. -40 Let p(z) be the first derivative of 19*z**5/5 + 4*z**3/3 + 317*z + 110. What is the derivative of p(s) wrt s? 76*s**3 + 8*s Let r(u) be the second derivative of 5*u**8/8 + 2*u**6/15 - 67*u**4/12 + u**3/6 + 43*u - 1. Find the third derivative of r(q) wrt q. 4200*q**3 + 96*q Let d(z) be the third derivative of 37*z**8/112 + 11*z**5/60 - 3*z**2 - 19. What is the third derivative of d(h) wrt h? 6660*h**2 Let o(l) be the third derivative of -107*l**8/336 - 3*l**5/20 + 5*l**4/24 - 27*l**2 + 3. What is the third derivative of o(q) wrt q? -6420*q**2 Find the third derivative of 18*l**5 + 4257*l**6 + 0*l**5 + 12*l**2 - 4258*l**6 + 6*l**5 wrt l. -120*l**3 + 1440*l**2 Let z(p) = -5*p**3 - 26*p**2 + 77*p - 3. Let h(x) = 11*x**3 + 53*x**2 - 153*x + 7. Let r(j) = 3*h(j) + 7*z(j). What is the second derivative of r(k) wrt k? -12*k - 46 Let b(g) be the second derivative of 0 + 13/6*g**3 - 10*g + 4*g**2. Differentiate b(z) with respect to z. 13 Let h(y) be the third derivative of -74*y**7/105 - 157*y**3/6 - 176*y**2. Find the first derivative of h(a) wrt a. -592*a**3 Let i(u) = -u**3 - 18*u**2 - 17*u + 8. Let z be i(-17). What is the first derivative of 13*r**2 + 32*r**2 + 20 + z + r**3 + r**3 wrt r? 6*r**2 + 90*r Let g(w) be the second derivative of 29*w**6/15 - w**5/10 - 31*w**2/2 + 114*w. Find the first derivative of g(n) wrt n. 232*n**3 - 6*n**2 Let s(v) = -v**3 - 3*v**2 + 10*v + 3. Let y be s(-5). What is the second derivative of 7*z + y*z**2 - 15*z**2 + 35*z**2 wrt z? 46 Let z be -2*((-5)/10 - 3). What is the second derivative of z*p**3 + p**3 - 3*p - 40*p**2 + 40*p**2 wrt p? 48*p Let l = -36 - -51. What is the first derivative of -3*c**2 + 12*c**2 - l + 0*c**2 + c**2 wrt c? 20*c Let q(m) be the first derivative of -47*m**7/7 + 2*m**3/3 + 32*m + 66. Find the third derivative of q(f) wrt f. -5640*f**3 Find the second derivative of -66*p**5 - 6 - 83*p + 7 - 42*p + 1 wrt p. -1320*p**3 Let b(s) be the first derivative of 3*s**5/5 - 2*s**3/3 + 51*s**2/2 - 327. Find the third derivative of b(u) wrt u. 72*u Let t be (-5 + -1)*17/34. Let l(p) = 6*p + 45 - 22 - 19*p**2 - p. Let u(h) = 10*h**2 - 3*h - 12. Let s(x) = t*l(x) - 5*u(x). Differentiate s(z) wrt z. 14*z What is the third derivative of c + 23*c - 24*c + 266*c**2 + 185*c**6 wrt c? 22200*c**3 Let x(t) be the first derivative of -5*t**7/7 + 14*t**3/3 - t - 16. What is the third derivative of x(q) wrt q? -600*q**3 What is the second derivative of a**2 + 298*a**3 - 313*a**3 + 92*a + 2*a**2 wrt a? -90*a + 6 Let s(w) be the first derivative of 0*w + 2/3*w**3 - 12 - 1/2*w**2. What is the second derivative of s(i) wrt i? 4 Suppose -6*t + 462 = -0*t. Let s(i) = 8*i**3 - 44*i. Let j(y) = 209*y**3 - 1144*y. Let g(h) = t*s(h) - 3*j(h). Find the second derivative of g(b) wrt b. -66*b Let m(o) = -o**3 - 33*o**2 + 6*o + 203. Let d be m(-33). Let v(g) be the first derivative of 11 - d*g + 1/2*g**2. What is the derivative of v(a) wrt a? 1 Let r(k) = 21 + 3*k - 19 - 2*k. Let i be r(0). Find the third derivative of -3*l**2 + l**6 - 3*l**i - 4*l**6 wrt l. -360*l**3 Let o(w) be the third derivative of -27*w**7/70 - w**6/30 - 13*w**5/60 + 7*w**3/6 - w**2 - 16. Find the third derivative of o(l) wrt l. -1944*l - 24 Let c(s) = 129*s**3 - 9*s**2 + 9*s - 114. Let g(o) = o**2 - o - 2. Let j(f) = -c(f) - 9*g(f). Find the first derivative of j(y) wrt y. -387*y**2 Let x(b) be the third derivative of b**5/30 - 3*b**4/4 - 7*b**3/3 - b**2. Let o(y) be the first derivative of x(y). Differentiate o(w) wrt w. 4 Let p(f) be the first derivative of 0*f + 0*f**2 + 8*f**3 - 3/5*f**5 + 0*f**4 - 10. Find the third derivative of p(i) wrt i. -72*i Let c(p) be the first derivative of 636*p**7/7 + 2*p**3/3 + 93*p**2 - 5. Find the third derivative of c(h) wrt h. 76320*h**3 Suppose -4*s + 3*c + 12 = c, 2*s - 6 = 2*c. Let o(r) be the first derivative of 0 + 5*r**3 - 5 - 3*r**s - 4*r. Find the first derivative of o(h) wrt h. 12*h Let d(p) be the second derivative of 61*p**3/6 + 24*p**2 - 23*p - 1. What is the first derivative of d(c) wrt c? 61 What is the first derivative of 90*b - 266 + 314*b + 68*b + 3*b - 118 wrt b? 475 Let x(j) be the first derivative of j**7/30 - j**4/4 - 9*j**2/2 + 20. Let q(f) be the second derivative of x(f). What is the second derivative of q(k) wrt k? 84*k**2 Suppose -3*f - 5 = -y, 4*y = 2*f + f + 11. Differentiate -3 + 14 - 6*i**2 - 5*i**y with respect to i. -22*i Let q(n) be the second derivative of -23/6*n**3 + 7/10*n**5 + 15*n + 0*n**2 + 0 + 0*n**4. What is the second derivative of q(l) wrt l? 84*l Let w(h) = -2. Let o(l) = -80*l**2 + 86*l + 8. Let k(c) = o(c) + 4*w(c). Find the second derivative of k(p) wrt p. -160 Let p be -2 - (2 - 1 - 35). What is the first derivative of -5 - 7 + p*r**3 + 1 wrt r? 96*r**2 Let s(c) be the second derivative of c**5/20 - c**4/12 + 2*c**2 + 6*c. Let z be s(0). What is the second derivative of 3*m + 3*m**z + 2*m - 2*m wrt m? 36*m**2 Let l be 15 - 12 - (1 + 0). Find the third derivative of 3*d**3 + 12*d**2 + d**l - d**2 wrt d. 18 Let
{ "pile_set_name": "DM Mathematics" }
4597584 + u - 34597584. Determine -2*n(y) + r(y). -6*y**2 + 6 Let t(u) = -u**2 - 1. Suppose -125 = -14*s - 139. Let x(d) = d. What is s*t(k) + 6*x(k)? k**2 + 6*k + 1 Let w(d) = 29*d**3 + 425*d - 5. Let q(h) = -101*h**3 - 1488*h + 17. Give -5*q(g) - 17*w(g). 12*g**3 + 215*g Let u(x) = 2*x**2 - 7*x + 1. Let v(s) = 9*s**2 - 35*s + 4. Let n(l) = 20*u(l) - 4*v(l). Let q(p) = 5*p**2 + 3. Give 3*n(c) - 4*q(c). -8*c**2 Let b(h) = -9*h**3 + 88*h**2 - 39*h - 7. Let d(f) = 14*f**3 - 131*f**2 + 59*f + 11. Determine -8*b(g) - 5*d(g). 2*g**3 - 49*g**2 + 17*g + 1 Let h(y) = 108*y - 13 - 54*y - 61*y. Let v be h(-6). Suppose 0 = -3*a + v - 20. Let s(i) = 5*i + 4. Let o(k) = 6*k + 5. Calculate a*s(j) - 2*o(j). 3*j + 2 Let n = 273945 + -273929. Let s(a) = -22*a - 22. Let b(u) = -7*u - 8 + 0*u + 1. Give n*b(w) - 5*s(w). -2*w - 2 Let f(z) = 2*z + 2. Let d(n) = 1694 - 847 - 2*n - 849. Calculate 6*d(w) + 5*f(w). -2*w - 2 Let w(m) = 5*m + 8*m + 8*m - 19*m - 3*m**3 + 2. Suppose -64 = -10*c - 22*c. Let x(o) = 6*o**3 - 5*o - 5. Determine c*x(a) + 5*w(a). -3*a**3 Let o(k) = 9*k**2 - 7*k + 7. Let z(x) = -6*x**2 + 5*x - 5. Suppose b - 3*b + 83 = 5*w, 0 = -w + 2*b + 7. Let f be 15*(((-35)/w)/7)/(-1). Give f*o(v) + 7*z(v). 3*v**2 Let q(d) = -d**2 + d - 1. Suppose 0 = -30*x + 92*x + 62. Let b(r) = -12*r**2 - r + 1. Calculate x*q(z) - b(z). 13*z**2 Let w(m) = -39*m - 3. Let y(j) = 45*j. Calculate 7*w(h) + 6*y(h). -3*h - 21 Let b(i) = 9*i**2 - 5*i - 4. Suppose 4*u = -3*y - 19, -5*u + 1764*y - 1769*y - 10 = 0. Let z(r) = 11*r + 6*r**2 - 25*r**2 + 4 + 5. Calculate u*b(c) - 6*z(c). -3*c**2 - c - 2 Let v be -3 + (6 - 0) + -2 + 2. Suppose 5*l = -3*b + 2 - v, 4*l - 14 = 5*b. Let f(k) = 6*k**3 + 4*k + 5. Let m(a) = -a**3 - 1. Determine l*f(y) + 5*m(y). y**3 + 4*y Let h = -20 + 14. Let y(v) = 9*v + 4. Let o(t) = 20*t + 8*t + 26*t - 3 - 62*t. Give h*o(f) - 5*y(f). 3*f - 2 Let r(a) = 10*a**2 + a + 1. Let d be 50/925 - 175/(-185). Let y(g) = g**2 + 1. Determine d*r(v) - y(v). 9*v**2 + v Let a(l) = -39*l + 13. Let i(x) = 10*x - 3. Suppose -129*t + 136*t - 182 = 0. Determine t*i(q) + 6*a(q). 26*q Let o(v) = -23*v. Let f(b) = -12*b. Let l be (5/(-3))/((-370)/(-666)). What is l*o(d) + 5*f(d)? 9*d Let o(w) = -59*w + 3. Let u(y) be the first derivative of y - 2387. Calculate o(z) - 4*u(z). -59*z - 1 Suppose 12 = -m + 2*t, -298*t = 4*m - 300*t + 18. Let o(g) = -9*g - 1. Let i(k) = -5*k. What is m*o(p) + 5*i(p)? -7*p + 2 Let h(n) = n. Let t(q) = q + 13. Let c(d) = -10*d + 11. Let v be c(1). Determine v*t(m) - 2*h(m). -m + 13 Let l(o) be the second derivative of o**3/6 + o**2/2 + o. Let d = 277 + -265. Let u(m) = 3 + 4*m - 1 + d - 10. What is 9*l(h) - 2*u(h)? h + 1 Let w(b) = -165*b**2 + 48. Let d(c) = 2*c**2 - 4. Calculate -15*d(x) - w(x). 135*x**2 + 12 Let c(r) = 4*r**3 + 4*r**2 - 3*r - 76. Let f(g) = -g**3 + 2*g**2 + g + 2. Calculate -c(m) - 3*f(m). -m**3 - 10*m**2 + 70 Let g(o) = -2369*o**3 - 10*o**2 + 15. Let k(p) = -1184*p**3 - 4*p**2 + 6. Calculate 4*g(s) - 10*k(s). 2364*s**3 Let t(y) = 11*y**2 - 2*y - 8. Let a(b) = -13*b**2 + 4*b + 8. Determine -3*a(l) - 4*t(l). -5*l**2 - 4*l + 8 Let k(t) = -85*t + 985. Let s(g) = 71*g - 987. Calculate -5*k(d) - 6*s(d). -d + 997 Let w(q) = -q**3 + 2*q**2 + 6*q + 8. Let i be 0 + 6 - 732/(-6). Let g = 129 - i. Let m(y) = -y - 1. What is g*w(t) + 6*m(t)? -t**3 + 2*t**2 + 2 Let f(n) = -3*n**2 + 2*n - 7. Suppose -21*y = -9*y + 348. Let i = 32 + y. Let j(u) = 6*u**2 - 5*u + 15. Determine i*j(a) + 7*f(a). -3*a**2 - a - 4 Suppose -43*m - 19 = -105. Let g(w) = -1. Let h(z) = 17*z - 187. Determine m*h(r) - 374*g(r). 34*r Let i(n) = 14*n**2 - 89*n - 24. Let h(t) = -19*t**2 + 118*t + 33. What is -8*h(x) - 11*i(x)? -2*x**2 + 35*x Let r(c) = 8*c**2 + 3*c - 23. Let d(s) = -s**2 - s - 3. Let h(f) = 6*d(f) - r(f). Let a(g) = 14*g**2 + 8*g - 4. Give 7*a(v) + 6*h(v). 14*v**2 + 2*v + 2 Let t(g) = -10*g - 5. Let z(d) be the first derivative of -21*d**2/2 - 11*d + 2730. Give 5*t(y) - 2*z(y). -8*y - 3 Let f(k) = 723*k - 3. Let d(w) = 2910*w - 12. Determine -2*d(j) + 9*f(j). 687*j - 3 Suppose -6 = -2*c - 0*c + y - 10, 0 = -2*y. Let v(z) = -3*z**2 + 3*z + 2. Let m(f) = -4*f**2 + 4*f + 3. Calculate c*m(u) + 3*v(u). -u**2 + u Let m(q) = -3492*q - 7. Let n(x) = -5243*x - 11. Determine -8*m(f) + 5*n(f). 1721*f + 1 Suppose -2*t = 5*r + 32, -t + 44 = -53*r + 48*r. Let x(v) = -v**2 + 5*v - 8. Let w(c) = c**2 - 4*c + 7. Let z be (1/3)/(1/15). Determine t*x(h) + z*w(h). h**2 + 3 Let t be -4 + (1 - 0) - 2. Let z(w) = -27419*w**2 + 4*w - 27*w**3 + 3 + 27419*w**2 + 33*w**3. Let k(h) = 11*h**3 + 7*h + 5. Give t*z(n) + 3*k(n). 3*n**3 + n Let m(d) = 8*d + 3. Let r(i) be the second derivative of -i**6/80 - i**5/30 - 28*i**4/3 - 81*i. Let l(h) be the third derivative of r(h). Give 3*l(p) + 4*m(p). 5*p Let t(u) = -591*u**3 - 14*u**2 + 7*u - 7. Let g(k) = -49348*k**3 - 1168*k**2 + 584*k - 584. Calculate 7*g(f) - 584*t(f). -292*f**3 Let t(s) = -s + 12. Let m(h) = 5*h - 49. Let k be (17253/5112)/((-3)/(-8)). Determine k*t(g) + 2*m(g). g + 10 Let s(k) = -21*k**2 - 5*k + 5. Suppose -2*m + 279 = 273, 4*r = -3*m + 29. Let x(d) = 63*d**2 + 14*d - 14. What is r*x(l) + 14*s(l)? 21*l**2 Let a(r) = 10*r - 555. Let d(i) = 4*i - 186. Give 3*a(g) - 8*d(g). -2*g - 177 Let s(d) = -44*d**2 + 178*d - 2. Let j(t) = 52*t**2 - 175*t + 2. Determine 5*j(f) + 6*s(f). -4*f**2 + 193*f - 2 Let p(h) be the third derivative of -h**4/4 - h**3/2 + 2*h**2 + 111. Let k(z) = -3*z - 2. Give 9*k(l) - 4*p(l). -3*l - 6 Let r(x) = -362*x**3 + 7*x**2. Let g(h) = 726*h**3 - 12*h**2. Calculate 4*g(a) + 7*r(a). 370*a**3 + a**2 Let g(t) = -2*t**3 + 8*t**2 + 8*t - 11. Let r = -3336 - -3331. Let a(j) = j**3 - 5*j**2 - 5*j + 7. Calculate r*g(n) - 8*a(n). 2*n**3 - 1 Let s(l) = -2*l**3 + 2*l**3 - l**3. Let i = -23016 - -23020. Let x(r) = -2*r + 0*r + 3*r - 5*r**3. Give i*s(y) - x(y). y**3 - y Let a(q) = 2103*q**3 - q**2 - 18*q. Let t(g) = 2104*g**3 - g**2 - 16*g. Give 8*a(f) - 9*t(f). -2112*f**3 + f**2 Let c(f) = -3*f**3 + 9*f**2 - 3*f + 524. Let k(d) = 4*d**3 - 15*d**2 + 5*d - 1048. Determine -5*c(h) - 3*k(h). 3*h**3 + 524 Let w(f) = f**3 + 7*f**2 + 25*f + 76. Let d be w(-5). Let b(n) = n. Let o(j) = 5*j - 2. Calculate d*o(m) + b(m). 6*m - 2 Let j(b) = -107*b**3 + b**2 + 175*b - 14. Let k(l) = 106*l**3 - l**2 - 150*l + 15. What is -6*j(w) - 7*k(w)? -100*w**3 + w**2 - 21 Let g(j) = -j - 1. Let p(x) = -6*x - 1. Let f(n) = -16*n + n**3 - 8*n - 7*n**2 + 8*n - 7*n**2 + 18. Let c be f(15). Determine c*g(t) - p(t). 3*t - 2 Let t(b) = 32*b - 89. Let u(f) = -106*f + 268. Calculate -13*t(m) - 4*u(m). 8*m + 85 Let d(x) = 2*x**3 + 23*x**2 + 2*x. Let s(t) = t**3 + 23*t**2 + t. Let l be 1080/162 + (-42)/9. What is l*d(i) - 3*s(i)? i**3 - 23*i**2 + i Let s(z) = -551 + 8*z - 14*z**2 + 543 - 8*z. Let p(t) = -t**2 - 1. Suppose -w = -4*w - 3. Give w*s(u) + 8*p(u). 6*u**2 Let y(t) = 1129*t**3 + 11*t - 225. Let p(o) = 225*o**3 + 2*o - 45. Give -11*p(a) + 2*y(a). -217*a**3 + 45 Let v(q) = 62 - 59 - 11*q**2 + 4*q**2. Let j(d) = 3*d**2 - 1. Let z(h) = 5*j(h) + 2*v(h). Let u(c) be the first derivative of c**3/3 - 2. Give 2*u(f) - 3*z(f). -f**2 - 3 Let n(k) = -1. Let h(u) = -u - 1. Let q(m) = -2*m - 856 + m + 856. Let j(a) = h(a) - 2*q(a). Give 2*j(b) - 5*n(b). 2*b + 3 Let f(r) be the third derivative of -r**5/60 + r**4/24 + r**3/6 - 1842*r**2. Let x(l) = 7*l**2 - l - 7. What is -6*f(n) - x(n)? -n**2 - 5*n + 1 Let s(l) = 16752*l**2 + 14*l + 20. Let m(h) = -3355*h**2 - 3*h - 4. Determine -14*m(d) - 3*s(d). -3286*d**2 - 4 Let m(n) = 16*n**2 - 328*n + 2. Let r(j) = -7*j**2 + 163*j - 1. Calculate -2*m(o) - 5*r(o). 3*o**2 - 159*o + 1 Let f = 33 - 31. Suppose f*w = 2*m + 18, 4*m - 2*m + 26 = 4*w. Let d(y) = w*y + y - 5*y + 16 - 20*y**2. Let q(g) = -4*g**2 + 3. Calculate 3*d(r) - 16*q(r). 4*r**2 Let z(d) = 14*d**2 + 136*d - 41. Let x be z(-10). Let b be -1 - 2*(-15)/6. Let j(n) = 1. Let q(p) = -3*p + 2. Determine b*j(i) + x*q(i). 3*i + 2 Let o(g) = 104*g + 12. Let m(q) = -170*q - 36. Calculate 3*m(u) + 8*o(u). 322*u - 12 Let u(d) = 2054*d**2 - 3*d - 2058*d**2 - 670 - 2*d**3 + 3*d + 668. Let i be 6 - ((-3 - -1) + 0). Let h(y) = -y**3 - y**2 - 1. What is i*h(m) - 3*u(m)? -2*m**3 + 4*m**2 - 2 Let u(r) = -2217*r**3 - 5*r**2 + 5*r - 5. Let k(j) = 19*j**3 + j**2 - j + 1. Determin
{ "pile_set_name": "DM Mathematics" }
re the prime factors of 122 - -2 - (2 + q)? 2, 61 What are the prime factors of ((-736)/(-56))/(2/7)? 2, 23 Let r be 10/6*78/65. Suppose 5*z - 373 = v + r*v, 4*v + 292 = 4*z. What are the prime factors of z? 7, 11 Suppose -5*i - 3*p = -1052, -3*i + 194 = 2*p - 438. Suppose -10*j = -6*j + 4*m - 832, -j + 5*m = -i. What are the prime factors of j? 2, 13 Suppose -9*x - 9 = 27. List the prime factors of 1 + (-148)/x - -4. 2, 3, 7 Let c(y) = -4*y**3 - 2*y**2 + 2. Suppose -1 = -g + 3. Suppose 3*q - q + g = 0. List the prime factors of c(q). 2, 13 Let h(z) = -z**3 - 31*z**2 + 36*z + 104. List the prime factors of h(-33). 2, 547 Suppose 2*y + 150 = 2*l, -2*y + 5 - 85 = -l. Let h = 99 - l. What are the prime factors of h? 29 Let i(r) = 35*r**2 + 5. Let k be i(3). Suppose -c + k = 3*c. What are the prime factors of c? 2, 5 Suppose 5*h - 2582 = 1558. What are the prime factors of h? 2, 3, 23 Suppose -36 = -4*q - 4*j - 8, 0 = 2*q + 5*j - 26. Suppose -q*i = 3 + 3, 3*y = -4*i - 140. Let w = 69 + y. List the prime factors of w. 5 Let k = 193 + -125. Suppose i + 74 = 3*u + 5*i, -3*u - i + k = 0. Suppose -u = -m - m. List the prime factors of m. 11 Suppose -2*t + 1681 = -5*d, -t + 2*d + 811 = -30. List the prime factors of t. 3, 281 Suppose -2*f + 3342 = -2*y, -3*f + 2*y + 724 = -4286. What are the prime factors of f? 2, 3, 139 Let s = -308 - -305. Let x = 102 - 158. What are the prime factors of (s/(-7))/((-8)/x)? 3 Let u(q) = 8*q + 39. Let z be u(-4). Suppose -3*w - 499 = -z*w - 3*f, -2*w + 250 = 2*f. List the prime factors of w. 2, 31 Let c(d) = -5*d + 1 + 5*d - 6 + 6*d. Let k(x) = -x**2 - x + 10. Let h be k(-3). What are the prime factors of c(h)? 19 Let x(q) = 15*q**2 + 5*q - 15. Let a be x(5). Suppose 33*m - a = 28*m. What are the prime factors of m? 7, 11 Let u(c) be the second derivative of 7*c**3/6 - 5*c**2 + 5*c. Let k(j) = -j + 15. Let a be k(11). What are the prime factors of u(a)? 2, 3 Let g be (0 - -2) + (-8 - 9). What are the prime factors of 5/g + 232/3? 7, 11 Let t = 30 - -188. List the prime factors of t. 2, 109 Let a(x) = 28*x + 72. List the prime factors of a(34). 2 Let h(n) = n**2 + n + 2. Let o be (-3 - -1)/(-6)*-3. What are the prime factors of h(o)? 2 Let o(b) = -b**3 + 16*b**2 + 9*b - 43. List the prime factors of o(14). 5, 19 Let o(a) = -54*a - 65. List the prime factors of o(-9). 421 Let n(d) = -d**3 - 2*d**2 - 2. Let v be n(-4). Suppose 4*o - 3*z - 48 = 0, -18 = -o + 2*z - 1. Let j = v - o. List the prime factors of j. 3, 7 Let k(m) be the third derivative of m**4/3 - 23*m**3/6 - 8*m**2. List the prime factors of k(9). 7 Let a = -304 - -426. Let p = a - 57. What are the prime factors of p? 5, 13 Let r(u) = u + 4. Let s be r(-4). Let j = 94 - 72. Let g = j - s. List the prime factors of g. 2, 11 Suppose 0*h = z - h + 9, 2*h + 14 = -2*z. List the prime factors of (-2)/(5/(2020/z)). 101 Suppose -28 = -5*o + 47. Let s be o/(-10) - 10/4. What are the prime factors of (1 - s)/(4 + -3)? 5 Suppose -p - 4 = 4. Let z(w) = 2*w**2 + 10*w - 1. What are the prime factors of z(p)? 47 Let a(d) = -9*d + 20. Let h(j) = 27*j - 60. Let l = -23 + 16. Let q(o) = l*a(o) - 2*h(o). List the prime factors of q(9). 61 Let y(k) = 469*k + 68. List the prime factors of y(3). 5, 59 Suppose -a - 885 = -3078. What are the prime factors of a? 3, 17, 43 Let s(a) = 11*a + 8. Let z be s(-1). What are the prime factors of (-397)/z + (-5 - -2)/9? 2, 3, 11 Let p(i) = -15*i - 6 - 3 - 14. Let d(n) = -7*n - 11. Let b(g) = -9*d(g) + 4*p(g). What are the prime factors of b(4)? 19 Let n(d) = -d**3 - 17*d**2 - 7*d - 61. What are the prime factors of n(-19)? 2, 397 Let a be 675/25*1/3. Let s = 16 - a. What are the prime factors of s? 7 Suppose -8*g - 10 = -10*g. Suppose -c + g = -0*c. Suppose -4*j + 15 = s - c, 2*j - 80 = -3*s. What are the prime factors of s? 2, 7 Let g = 60 - 52. List the prime factors of 2/g + 1574/8. 197 Suppose -2*g + 0*g - 4*n = 10, 0 = 3*g - 4*n + 5. Let c(d) = -4*d**3 - 3. What are the prime factors of c(g)? 3, 5, 7 Let m = 542 - 459. List the prime factors of m. 83 Let a(k) = -k**2 + k + 3. Let c be a(0). Suppose -2*t - 41 = -5*g + c, -3*g = -2*t - 28. Suppose g = s - 0*s. List the prime factors of s. 2 Let f = 1301 - -350. List the prime factors of f. 13, 127 Let i = 23 + -19. Let k be 73*4/16*4. Suppose -5*z = 4*x - k - 14, -i*x + z = -93. What are the prime factors of x? 23 Let h be ((-24)/14)/((-5)/((-140)/(-8))). Suppose 5*i - n = 13, 5*n = -3*i + n + 17. Suppose -9 - h = -i*l. What are the prime factors of l? 5 Suppose -m + 0*m - 3952 = -3*i, 0 = -2*i - 3*m + 2620. What are the prime factors of i? 2, 7, 47 Let b be (1790/(-56) + 8/(-28))*-28. Let w = -627 + b. What are the prime factors of w? 2, 3, 23 Let i = 1214 - 797. List the prime factors of i. 3, 139 Let m be (-1)/((-3)/(17 - 2)). Suppose 3*b - 7 = m. Suppose -2*p + 12 = w, -w + b*p + 18 = -24. List the prime factors of w. 2, 11 Let t = -14 + 19. Let d(l) = -t*l + 3*l + 3 - l + 0*l**2 + 4*l**2. What are the prime factors of d(3)? 2, 3, 5 Suppose 5*f + 4*w = 792, -f + 2*w = -68 - 96. What are the prime factors of f? 2, 5 Let o(p) = -4*p + 10. Let d be o(6). Let f = -10 - d. Suppose 2*z - 3*s - f = 0, 0 = s + 3*s - 16. What are the prime factors of z? 2 Suppose -4*j + 553 + 167 = 0. Let w = -109 + j. List the prime factors of w. 71 Let s be ((-77826)/(-27))/7 - 2/(-9). Let y = s + -236. List the prime factors of y. 2, 11 Suppose -6*a + x = -2*a - 12, -4*a - 3*x + 12 = 0. Suppose 4*o = 5*s + 143, o = 4*s - a*s + 37. Let q = o + -13. List the prime factors of q. 29 Let m be (35/2)/(-1)*(-24)/14. Let c = 111 - m. List the prime factors of c. 3 Suppose 3*o + 9 = -21. Let v = o + 14. Suppose -3*h - h + 176 = 2*p, -v*h - 3*p = -176. List the prime factors of h. 2, 11 Suppose 0 = -19*b + 11*b + 16. Let r(v) = 17*v**2 + 7*v - 5. What are the prime factors of r(b)? 7, 11 Let b be 15/(3 + 0)*-321. List the prime factors of -4 - b/(-30)*-2*1. 103 Let f be 7/(-9) + 1 + 5994/(-729). Let d = -7 + -5. Let z = f - d. List the prime factors of z. 2 Let z(h) = 145*h - 25. What are the prime factors of z(5)? 2, 5, 7 Let o(t) = t**2 + 9 + 8*t - 1 + 4. Let s be o(-5). Let u(i) = 3*i**2 - i + 1. List the prime factors of u(s). 31 Let p(s) = -18*s + 22. Suppose -k = 31 - 26. List the prime factors of p(k). 2, 7 Let r be -2*(-5)/10*537. Suppose -4*n + 7*n - r = 0. What are the prime factors of n? 179 Let y(f) = 2*f**2 - 13*f + 17. List the prime factors of y(9). 2, 31 Suppose 1152 = -0*w + 6*w. Suppose -2*f + w = 3*n - 0*n, 0 = -2*n + 5*f + 128. What are the prime factors of n? 2 Let w(c) = -c + 9. Let y be w(5). Let v(z) = 2*z + 1. Let i be v(1). Let u = y + i. What are the prime factors of u? 7 Suppose 0 = -15*m + 8388 + 2817. What are the prime factors of m? 3, 83 Suppose 5044 = 3*k - 7*l, 5*k - l - 7266 = 1194. List the prime factors of k. 1693 Let d(r) = -r - 11. Let n be d(-14). What are the prime factors of (2 + (-230)/(-15))*n? 2, 13 What are the prime factors of (130/6)/((-20)/(-120))? 2, 5, 13 Let m be (-2)/6 - (-6)/18. Suppose -r + 2*a - 1 + 5 = m, -2*r + 1 = 3*a. List the prime factors of (r + -4)*(-5 - 0). 2, 5 Let t = 975 - 689. Suppose 5*a - 369 = t. What are the prime factors of a? 131 Let c(v) = 61*v - 16. Let a be c(4). Suppose 0 = 2*y - 5*y + a. What are the prime factors of y? 2, 19 Suppose 6435 = 8*j - 5709. What are the prime factors of j? 2, 3, 11, 23 Let t = -10 + 6. Let f be t + 2 + 0 - 4. What are the prime factors of (2 - (-3 - f)) + 16? 3, 5 Let s be 2 + 0 + 0 + 2. What are the prime factors of -5 - ((-20)/s + -11)? 11 Let m(y) = -y**2 + 33*y - 70. List the prime factors of m(24). 2, 73 Let a(l) = 6*l**2 + 19*l + 8. Let j be a(-4). Let u(x) = -3*x**2 + 1. Let h be u(1). List the prime factors of (h + 12)/(7/j). 2, 5 Let h = 6 + -8. Let n = h + 49. What are the prime factors of n? 47 Suppose 4*b - 94 = 5*u - 2*u, 5*b + 146 = -4*u. Let g = u - -160. List the prime factors of g. 2, 3, 7 Let y(b) = 5*b + 187. List the prime factors of y(-16). 107 Let t = -58 + 89. Suppose 0 = 3*s + t - 202. List the prime factors of s. 3, 19 Suppose -36*p = -30*p - 24. Suppose -821 = -4*m - b - p*b, -5*m + 2*b = -1051. List the prime factors of m. 11, 19 Let q(p) = 8*p**3 + 9*p - 4. What are the prime fact
{ "pile_set_name": "DM Mathematics" }
1 What is the a'th term of 8840, 35343, 79510, 141347, 220860, 318055? a**3 + 8826*a**2 + 18*a - 5 What is the g'th term of 1458265, 5833066, 13124395, 23332252? 1458264*g**2 + 9*g - 8 What is the p'th term of 13643, 13835, 14027, 14219, 14411, 14603? 192*p + 13451 What is the m'th term of -769, -3282, -7503, -13432, -21069, -30414? -854*m**2 + 49*m + 36 What is the t'th term of -45426232, -45426231, -45426230, -45426229, -45426228, -45426227? t - 45426233 What is the m'th term of 5679286, 11358567, 17037848, 22717129, 28396410? 5679281*m + 5 What is the i'th term of 25, 94, 161, 184, 121, -70? -7*i**3 + 41*i**2 - 5*i - 4 What is the d'th term of -238308, -477617, -716928, -956241, -1195556, -1434873? -d**2 - 239306*d + 999 What is the i'th term of 319, 118, -241, -776, -1505, -2446, -3617, -5036? -3*i**3 - 61*i**2 + 3*i + 380 What is the p'th term of -211, -148, -45, 122, 377, 744, 1247, 1910? 4*p**3 - 4*p**2 + 47*p - 258 What is the i'th term of -26683, -23229, -19775, -16321, -12867, -9413? 3454*i - 30137 What is the n'th term of -3430508, -6860919, -10291330, -13721741, -17152152, -20582563? -3430411*n - 97 What is the n'th term of 36696, 43524, 50354, 57186, 64020? n**2 + 6825*n + 29870 What is the a'th term of -4635154, -4635173, -4635192, -4635211, -4635230, -4635249? -19*a - 4635135 What is the s'th term of 7001, 27806, 62435, 110888? 6912*s**2 + 69*s + 20 What is the y'th term of 2522, 2602, 2832, 3290, 4054, 5202, 6812, 8962? 13*y**3 - 3*y**2 - 2*y + 2514 What is the o'th term of -3045, -6098, -9191, -12330, -15521, -18770, -22083? -o**3 - 14*o**2 - 3004*o - 26 What is the h'th term of 100, 629, 2010, 4657, 8984, 15405? 69*h**3 + 12*h**2 + 10*h + 9 What is the s'th term of 398238, 796472, 1194682, 1592856, 1990982, 2389048, 2787042? -2*s**3 + 398248*s - 8 What is the a'th term of -607511, -607211, -606911, -606611? 300*a - 607811 What is the m'th term of 881412, 3525631, 7932660, 14102499, 22035148? 881405*m**2 + 4*m + 3 What is the k'th term of -1310, -827, -308, 247, 838, 1465? 18*k**2 + 429*k - 1757 What is the v'th term of -378247, -378209, -378169, -378127? v**2 + 35*v - 378283 What is the h'th term of -11330027, -22660053, -33990079, -45320105, -56650131? -11330026*h - 1 What is the v'th term of -2458, -9273, -20630, -36529, -56970, -81953, -111478? -2271*v**2 - 2*v - 185 What is the k'th term of 415, 329, -213, -1211, -2665, -4575? -228*k**2 + 598*k + 45 What is the s'th term of -18985, -77428, -174833, -311200, -486529, -700820, -954073? -19481*s**2 + 496 What is the q'th term of 10792, 43144, 97068, 172564, 269632? 10786*q**2 - 6*q + 12 What is the k'th term of 305724065, 611448129, 917172193? 305724064*k + 1 What is the h'th term of -26486, -53116, -79886, -106790, -133822, -160976, -188246? h**3 - 76*h**2 - 26409*h - 2 What is the d'th term of 5595035, 11190113, 16785177, 22380221, 27975239? -d**3 - d**2 + 5595088*d - 51 What is the q'th term of -5109, -24799, -59065, -107907? -7288*q**2 + 2174*q + 5 What is the g'th term of 26970768, 26970769, 26970770, 26970771, 26970772? g + 26970767 What is the i'th term of 36787, 73350, 109717, 145888, 181863, 217642, 253225? -98*i**2 + 36857*i + 28 What is the q'th term of -12111, -24230, -36387, -48600, -60887, -73266, -85755, -98372? -3*q**3 - q**2 - 12095*q - 12 What is the n'th term of -944, -3584, -7938, -13982, -21692, -31044, -42014? 4*n**3 - 881*n**2 - 25*n - 42 What is the c'th term of -1294948, -2590234, -3885520, -5180806? -1295286*c + 338 What is the g'th term of -313155, -626307, -939459, -1252611, -1565763, -1878915? -313152*g - 3 What is the x'th term of -71023413, -142046829, -213070245, -284093661, -355117077, -426140493? -71023416*x + 3 What is the z'th term of 14744, 59638, 134464, 239222, 373912, 538534, 733088? 14966*z**2 - 4*z - 218 What is the n'th term of -70, 700, 2194, 4412, 7354? 362*n**2 - 316*n - 116 What is the k'th term of -1169655, -2339478, -3509301, -4679124? -1169823*k + 168 What is the u'th term of -6159, -24343, -54643, -97053, -151567, -218179? u**3 - 6064*u**2 + u - 97 What is the l'th term of -2137221, -4274442, -6411661, -8548878, -10686093, -12823306, -14960517? l**2 - 2137224*l + 2 What is the x'th term of 1939515, 1939692, 1939869, 1940046, 1940223? 177*x + 1939338 What is the f'th term of 6322, 12726, 19194, 25726, 32322? 32*f**2 + 6308*f - 18 What is the s'th term of 633, 2526, 5653, 9996, 15537, 22258, 30141, 39168? -3*s**3 + 635*s**2 + 9*s - 8 What is the b'th term of -65981, -134863, -203745, -272627? -68882*b + 2901 What is the c'th term of 23734108, 47468218, 71202328? 23734110*c - 2 What is the c'th term of -752181, -1504382, -2256593, -3008814? -5*c**2 - 752186*c + 10 What is the s'th term of -4705571, -4705696, -4705821, -4705946? -125*s - 4705446 What is the x'th term of 32392, 32497, 32602, 32707, 32812, 32917? 105*x + 32287 What is the i'th term of 13888, 16608, 19328, 22048? 2720*i + 11168 What is the n'th term of -25249, -50376, -75503, -100630? -25127*n - 122 What is the r'th term of 5773, 25770, 59095, 105748, 165729, 239038, 325675? 6664*r**2 + 5*r - 896 What is the x'th term of -465436, -930542, -1395648, -1860754? -465106*x - 330 What is the v'th term of -118650317, -237300636, -355950955? -118650319*v + 2 What is the z'th term of 201360, 201499, 201638, 201777, 201916, 202055? 139*z + 201221 What is the j'th term of 16713, 66872, 150475, 267522, 418013? 16722*j**2 - 7*j - 2 What is the r'th term of 7334, 7675, 7956, 8177, 8338, 8439? -30*r**2 + 431*r + 6933 What is the k'th term of 1625733, 3251571, 4877409, 6503247, 8129085, 9754923? 1625838*k - 105 What is the p'th term of 792, 2859, 4914, 6957, 8988, 11007? -6*p**2 + 2085*p - 1287 What is the r'th term of 27075144, 108300586, 243676322, 433202352, 676878676, 974705294, 1326682206? 27075147*r**2 + r - 4 What is the v'th term of 24592, 25501, 27016, 29137? 303*v**2 + 24289 What is the y'th term of -64139, -258444, -582281, -1035644, -1618527, -2330924, -3172829? y**3 - 64772*y**2 + 4*y + 628 What is the x'th term of -288507, -288832, -289157, -289482, -289807, -290132? -325*x - 288182 What is the n'th term of -3181, -5288, -11029, -22222, -40685? -303*n**3 + n**2 + 11*n - 2890 What is the b'th term of -5669, -5485, -5305, -5129, -4957? -2*b**2 + 190*b - 5857 What is the k'th term of -14278, -14412, -14518, -14590, -14622, -14608, -14542? k**3 + 8*k**2 - 165*k - 14122 What is the x'th term of 25777, 25749, 25711, 25669, 25629, 25597, 25579, 25581? x**3 - 11*x**2 - 2*x + 25789 What is the v'th term of -23, 714, 2707, 6580, 12957, 22462, 35719, 53352? 104*v**3 + 4*v**2 - 3*v - 128 What is the u'th term of -133, -304, -555, -940, -1513, -2328? -9*u**3 + 14*u**2 - 150*u + 12 What is the b'th term of 809748, 809650, 809534, 809406, 809272, 809138, 809010? b**3 - 15*b**2 - 60*b + 809822 What is the h'th term of -19392, -19970, -20548, -21126, -21704, -22282? -578*h - 18814 What is the c'th term of 62078, 62085, 62092, 62099, 62106, 62113? 7*c + 62071 What is the v'th term of -6372159, -6372138, -6372117, -6372096? 21*v - 6372180 What is the u'th term of -2606, -2393, -2196, -2021, -1874, -1761, -1688? -u**3 - 2*u**2 + 226*u - 2829 What is the f'th term of -150133, -150285, -150533, -150877? -48*f**2 - 8*f - 150077 What is the d'th term of 11736, 11634, 11534, 11436, 11340, 11246, 11154? d**2 - 105*d + 11840 What is the n'th term of -164420542, -328841083, -493261624, -657682165, -822102706, -986523247? -164420541*n - 1 What is the a'th term of 51443, 205802, 463069, 823244, 1286327, 1852318? 51454*a**2 - 3*a - 8 What is the k'th term of -48045, -96155, -144333, -192579, -240893, -289275, -337725? -34*k**2 - 48008*k - 3 What is the n'th term of -162248, -324501, -486738, -648959? 8*n**2 - 162277*n + 21 What is the n'th term of 1603, 4243, 6885, 9529? n**2 + 2637*n - 1035 What is the w'th term of 924164, 3696306, 8316542, 14784872, 23101296, 33265814, 45278426? 924047*w**2 + w + 116 What is the l'th term of -19245, -38930, -58613, -78294? l**2 - 19688*l + 442 What is the g'th term of -256761, -257399, -258037, -258675, -259313? -638*g - 256123 What is the t'th term of 8083, 14162, 20243, 26326, 32411? t**2 + 6076*t + 2006 What is the f'th term of -7212094, -7212087, -72120
{ "pile_set_name": "DM Mathematics" }
rxrf? 7/1980 Three letters picked without replacement from {m: 2, y: 2}. What is prob of sequence ymy? 1/6 Three letters picked without replacement from {j: 3, a: 3}. What is prob of sequence aaj? 3/20 Calculate prob of sequence fa when two letters picked without replacement from {a: 1, i: 3, f: 1, u: 1, x: 6}. 1/132 What is prob of sequence vqvh when four letters picked without replacement from vhvkzvvvvvhaqvvhh? 3/595 Two letters picked without replacement from {m: 1, i: 4, l: 8}. Give prob of sequence ml. 2/39 Three letters picked without replacement from zzozilzolzzozzzzil. What is prob of sequence zlo? 5/272 Two letters picked without replacement from iwiwiwiiwi. What is prob of sequence iw? 4/15 Calculate prob of sequence wwu when three letters picked without replacement from {w: 2, u: 5}. 1/21 Two letters picked without replacement from cst. What is prob of sequence cs? 1/6 Calculate prob of sequence ufff when four letters picked without replacement from {f: 3, u: 5}. 1/56 Three letters picked without replacement from tqttvtjqttjtt. What is prob of sequence jjq? 1/429 Calculate prob of sequence xh when two letters picked without replacement from {h: 6, k: 9, x: 1, i: 1}. 3/136 Four letters picked without replacement from {q: 7, s: 3, x: 4}. Give prob of sequence ssqs. 1/572 Calculate prob of sequence uoop when four letters picked without replacement from {x: 1, u: 1, o: 5, p: 5}. 5/594 Four letters picked without replacement from {h: 1, u: 3, f: 6, g: 2, v: 5}. Give prob of sequence uhvf. 3/1904 What is prob of sequence dde when three letters picked without replacement from {y: 2, n: 3, e: 6, d: 2}? 1/143 Calculate prob of sequence yc when two letters picked without replacement from ycfcfycf. 3/28 Calculate prob of sequence sq when two letters picked without replacement from {s: 2, q: 5, i: 4}. 1/11 What is prob of sequence dddb when four letters picked without replacement from {b: 2, r: 5, d: 10, f: 3}? 4/323 What is prob of sequence hbb when three letters picked without replacement from {b: 11, h: 2}? 5/39 Calculate prob of sequence vt when two letters picked without replacement from {o: 1, r: 1, v: 1, t: 1, m: 1}. 1/20 Three letters picked without replacement from kxxkxxx. Give prob of sequence kkx. 1/21 Calculate prob of sequence zmm when three letters picked without replacement from {z: 3, m: 7}. 7/40 What is prob of sequence zz when two letters picked without replacement from {z: 4, f: 2}? 2/5 What is prob of sequence vvvr when four letters picked without replacement from {r: 5, v: 7, u: 1}? 35/572 Calculate prob of sequence qzqz when four letters picked without replacement from qzzzqzqzzz. 1/20 What is prob of sequence ml when two letters picked without replacement from mjxjmjxlmjzxjm? 2/91 Four letters picked without replacement from {q: 2, h: 3, r: 4, c: 1, o: 1}. What is prob of sequence qhor? 1/330 What is prob of sequence ntt when three letters picked without replacement from ttnntt? 1/5 What is prob of sequence khkn when four letters picked without replacement from {k: 4, e: 7, q: 1, n: 1, v: 5, h: 2}? 1/4845 Calculate prob of sequence ohh when three letters picked without replacement from hahhhahhhhhhohoho. 33/340 Two letters picked without replacement from {a: 7, t: 1, g: 7, w: 2}. Give prob of sequence tg. 7/272 Calculate prob of sequence qa when two letters picked without replacement from vpzqzza. 1/42 Two letters picked without replacement from {w: 1, l: 1, q: 1, a: 2, t: 1, g: 1}. What is prob of sequence tt? 0 Calculate prob of sequence rhlr when four letters picked without replacement from hllrrrlllhrl. 2/165 Two letters picked without replacement from {j: 8, x: 1, h: 5, n: 2, k: 1}. What is prob of sequence kx? 1/272 Two letters picked without replacement from afaowwtgfffota. What is prob of sequence wf? 4/91 Three letters picked without replacement from xss. What is prob of sequence xss? 1/3 Two letters picked without replacement from {b: 3, l: 2}. What is prob of sequence bl? 3/10 What is prob of sequence yys when three letters picked without replacement from {s: 6, y: 4, g: 9}? 4/323 Two letters picked without replacement from uqsqqusquqsqvqgggg. What is prob of sequence gq? 14/153 Calculate prob of sequence nyny when four letters picked without replacement from nynnnnnnyny. 7/165 What is prob of sequence fw when two letters picked without replacement from {w: 3, f: 6, m: 1, l: 1, t: 2, n: 2}? 3/35 What is prob of sequence gggg when four letters picked without replacement from ggkgkkkkkgkkkgkkkgk? 5/1292 Four letters picked without replacement from tecccgctctttcoccg. What is prob of sequence tocg? 1/714 What is prob of sequence ngj when three letters picked without replacement from {g: 2, k: 1, v: 3, j: 1, n: 5, a: 1}? 5/858 Calculate prob of sequence ypdg when four letters picked without replacement from yygpdggdqg. 1/315 Calculate prob of sequence fmm when three letters picked without replacement from {m: 4, f: 9, j: 4}. 9/340 Two letters picked without replacement from hhsssssdssssssshs. Give prob of sequence ds. 13/272 Calculate prob of sequence msm when three letters picked without replacement from ssssmssssssssssssms. 1/171 What is prob of sequence lmi when three letters picked without replacement from {b: 1, p: 2, i: 2, m: 2, l: 1}? 1/84 Calculate prob of sequence dln when three letters picked without replacement from {d: 1, l: 4, f: 1, n: 2, h: 2, p: 7}. 1/510 What is prob of sequence ivhl when four letters picked without replacement from {l: 5, v: 4, m: 2, i: 2, h: 4}? 1/357 Calculate prob of sequence bey when three letters picked without replacement from {s: 14, b: 1, y: 2, e: 2}. 2/2907 Two letters picked without replacement from twttitggt. What is prob of sequence gi? 1/36 What is prob of sequence ez when two letters picked without replacement from {e: 2, r: 5, z: 3}? 1/15 Two letters picked without replacement from sssssssssfshs. What is prob of sequence fh? 1/156 Two letters picked without replacement from {e: 2, z: 2, r: 1, u: 6, i: 3}. What is prob of sequence zi? 3/91 Calculate prob of sequence qk when two letters picked without replacement from qkkkkkqkkkqkkqkqkk. 65/306 Two letters picked without replacement from tqiwkqwr. What is prob of sequence qr? 1/28 Four letters picked without replacement from tdeeceduecedm. What is prob of sequence ddmd? 1/2860 Two letters picked without replacement from vrbrl. Give prob of sequence rr. 1/10 Four letters picked without replacement from zuuzzuz. Give prob of sequence zuuu. 1/35 What is prob of sequence pppp when four letters picked without replacement from phpppphhphhpp? 14/143 What is prob of sequence ip when two letters picked without replacement from ejejfiiiiupjieipje? 2/51 Four letters picked without replacement from hhhhvhvhhhhvhh. Give prob of sequence hhvh. 45/364 Calculate prob of sequence xxxx when four letters picked without replacement from {x: 5, o: 13}. 1/612 Two letters picked without replacement from {z: 3, b: 2}. Give prob of sequence bb. 1/10 What is prob of sequence zlp when three letters picked without replacement from zvlnp? 1/60 Four letters picked without replacement from gglcgggagcll. What is prob of sequence gllg? 1/66 Four letters picked without replacement from nnnnncncnnnc. Give prob of sequence ncnc. 2/55 Two letters picked without replacement from xppykzpxpxxyydy. Give prob of sequence yz. 2/105 Four letters picked without replacement from yddddyydyd. Give prob of sequence yyyd. 1/35 Calculate prob of sequence gxgy when four letters picked without replacement from yggxxxxy. 1/105 Two letters picked without replacement from {k: 6, f: 2, e: 9, i: 1, s: 1}. Give prob of sequence kk. 5/57 What is prob of sequence yy when two letters picked without replacement from {y: 7}? 1 Calculate prob of sequence rnrr when four letters picked without replacement from rnnnrrn. 1/35 What is prob of sequence csyy when four letters picked without replacement from ocysoooyobyoybco? 1/1820 Four letters picked without replacement from {d: 1, q: 4, e: 10, r: 5}. What is prob of sequence redq? 5/2907 What is prob of sequence es when two letters picked without replacement from {e: 1, x: 2, g: 7, s: 2}? 1/66 Three letters picked without replacem
{ "pile_set_name": "DM Mathematics" }
base 8, what is -507 - 5327133? -5327642 In base 11, what is 507a4 + -7184? 44620 In base 8, what is -2602 + 131573? 126771 In base 13, what is -23 - 15b46cb? -15b4721 In base 9, what is -1 - 2145311? -2145312 In base 3, what is 111 + 1120022202212? 1120022210100 In base 3, what is 120220111110 + -1212? 120220102121 In base 6, what is -543302 - 1053? -544355 In base 2, what is 111001101010001110 - 11011? 111001101001110011 In base 4, what is -22220331 - -30020? -22130311 In base 13, what is 143cc + -1bb? 14211 In base 4, what is 23302323032 + -2? 23302323030 In base 15, what is 4ba - 21195? -20bca In base 15, what is -58900 - -68? -58887 In base 13, what is 12ca007a + -5? 12ca0075 In base 10, what is -179 + 923945? 923766 In base 11, what is -4 - 929059? -929062 In base 8, what is 157003 - 2514? 154267 In base 7, what is 106501461 + -22? 106501436 In base 8, what is -1742 - -174167? 172225 In base 2, what is -10 + -11111101000001000000101010? -11111101000001000000101100 In base 15, what is 4 - -5c592? 5c596 In base 12, what is 890 - -22? 8b2 In base 4, what is -330111232132 + 11? -330111232121 In base 8, what is -315773 - -476? -315275 In base 5, what is -20041 - 3322? -23413 In base 13, what is 17b693 - 174? 17b51c In base 11, what is 2a14439 - 20? 2a14419 In base 9, what is -613377 + -500? -613877 In base 3, what is 2 - 10212011201101? -10212011201022 In base 6, what is -21254205 + 123? -21254042 In base 8, what is 26000 + -325? 25453 In base 15, what is 18b59b8 - 0? 18b59b8 In base 5, what is -200132 - -103111? -42021 In base 13, what is 118 - -39663? 3977b In base 8, what is -2756 - -65021? 62043 In base 10, what is 1565898 - 5? 1565893 In base 15, what is -55 + 76695a? 766905 In base 5, what is 42 + -201300102? -201300010 In base 8, what is 350 + 7612002? 7612352 In base 10, what is 435 + -47162? -46727 In base 4, what is -1231 + -100132030222? -100132032113 In base 16, what is -18c8ee + 7? -18c8e7 In base 8, what is -14500 - -2302? -12176 In base 7, what is -4004343452 - 2? -4004343454 In base 14, what is -206a2578 + -4? -206a257c In base 5, what is 4230242 + 24? 4230321 In base 7, what is -52364605 + 116? -52364456 In base 12, what is 65 + -54b7ba? -54b755 In base 8, what is 51 - -371543? 371614 In base 2, what is 11101110 + -11001100110011101? -11001100010101111 In base 16, what is -134 - 17027? -1715b In base 7, what is 14640 - -3542? 21512 In base 16, what is -1 - 5024864? -5024865 In base 6, what is -43543310 + -52? -43543402 In base 16, what is -4f7 + -1fdce? -202c5 In base 13, what is -36c09c + -2b? -36c0ca In base 16, what is 4 - f1b2b? -f1b27 In base 16, what is -10e52e83 + -5? -10e52e88 In base 3, what is -101201120101101002 + 2? -101201120101101000 In base 5, what is -1031 - 2013121? -2014202 In base 8, what is -4004 + -14165? -20171 In base 9, what is 10 - -3156165? 3156175 In base 9, what is -5 + -3788431? -3788436 In base 3, what is 12021 + -1200211120020? -1200211100222 In base 3, what is -1200220201112 + -2? -1200220201121 In base 5, what is 143 + -2030412? -2030214 In base 15, what is -1e - -95e8d9? 95e8ba In base 8, what is -6077672 - 3? -6077675 In base 16, what is -7b308 + 3d? -7b2cb In base 8, what is 140424200 - -27? 140424227 In base 10, what is -69 + -114148? -114217 In base 16, what is -5c8 + dc36? d66e In base 8, what is -15 + -136023005? -136023022 In base 15, what is c55 - -16b4? 2419 In base 9, what is -487 + -5247? -5745 In base 16, what is -30c7 + -87? -314e In base 13, what is -1316b - b3? -13251 In base 15, what is -1 + -16207d09? -16207d0a In base 5, what is -4044 - -2301? -1243 In base 13, what is 4239 + -56c? 399a In base 2, what is -11 - -1111010101101001101101101010? 1111010101101001101101100111 In base 6, what is -2111134 - -4020? -2103114 In base 9, what is 2064 + -64127? -62053 In base 2, what is 10111111010001 + 1011101110? 11001010111111 In base 5, what is 212022214421 + 3? 212022214424 In base 4, what is -2031 - -1012222002? 1012213311 In base 16, what is 6e24385 - 2? 6e24383 In base 16, what is -57f1a41 + -3? -57f1a44 In base 7, what is 65 + 13426? 13524 In base 6, what is -5 + -255100100? -255100105 In base 7, what is 3 + 261200030? 261200033 In base 12, what is b + 11010? 1101b In base 10, what is -14783 + 12744? -2039 In base 9, what is -2758000 + -5? -2758005 In base 16, what is 251e2d + -5? 251e28 In base 9, what is 1 - -75810? 75811 In base 16, what is -2cfa01 - -4? -2cf9fd In base 16, what is -6 + c20aae? c20aa8 In base 2, what is 1010010100001 - -10110110? 1010101010111 In base 8, what is -1 + 37414221? 37414220 In base 5, what is 1214 + 14030? 20244 In base 15, what is 2ad00 - 4bd? 2a832 In base 14, what is -37b80 + -b9? -37c59 In base 12, what is -353a567 + -3? -353a56a In base 13, what is b507 + -2403? 9104 In base 8, what is -7724134 - 4? -7724140 In base 10, what is 18685 + -14410? 4275 In base 6, what is 2515504 + 10501? 2530405 In base 7, what is 2250 - 534015? -531435 In base 2, what is -101010110110 - -10101001010101100? 10100011111110110 In base 2, what is -1100000100011 - -100101011111? -111011000100 In base 9, what is 4052 + -55848? -51786 In base 7, what is -4 - 14043221? -14043225 In base 3, what is 11011 + 12202011100101? 12202011111112 In base 5, what is 140 + 421124114? 421124304 In base 11, what is -4339946 - 5? -4339950 In base 13, what is 9903233 + -1? 9903232 In base 7, what is -6001331 + 25? -6001303 In base 13, what is 1 - -1a0a618? 1a0a619 In base 5, what is -110 - -10142004? 10141344 In base 9, what is -4360 - -8877? 4517 In base 14, what is -caa39 - -10? -caa29 In base 6, what is -1300 - 54425434? -54431134 In base 7, what is -611014 + -223? -611240 In base 10, what is -27713 - 9132? -36845 In base 10, what is 817795 - 98? 817697 In base 5, what is -131143414 - -30? -131143334 In base 12, what is 2 - 14689986? -14689984 In base 13, what is 13873b42 + -4? 13873b3b In base 12, what is 744b81 + -328? 744855 In base 8, what is 462626 + -44? 462562 In base 13, what is -401a200 - 0? -401a200 In base 4, what is 21212213312001 - -11? 21212213312012 In base 15, what is -a8a904 + -3c? -a8a941 In base 8, what is 407 + 647750? 650357 In base 4, what is 11 - -30021033020022? 30021033020033 In base 13, what is -8b40b3c8 + 0? -8b40b3c8 In base 11, what is 1 + 5a67927a? 5a679280 In base 11, what is -170 - 67793? -67953 In base 15, what is 812886 - 9? 81287c In base 4, what is -30 + -300230222112? -300230222202 In base 7, what is -4452346 + -3020? -4455366 In base 8, what is 1154111066 + -1? 1154111065 In base 15, what is 943025 - 13? 943012 In base 2, what is 111100000 + -111110101100? -110111001100 In base 13, what is -105 - -304b2? 303aa In base 15, what is -7ca8 + 11a? -7b8d In base 14, what is 1 - 1281856a? -12818569 In base 14, what is -2cbc331 + -5? -2cbc336 In base 2, what is -100 - -11111001000010110001100111? 11111001000010110001100011 In base 7, what is 315165 - -2666? 321164 In base 4, what is 3000331 - -11133020? 20200011 In base 8, what is 11167 + -53246? -42057 In base 14, what is 42576 - -294? 4282a In base 2, what is -10100 + -1010101110101001100010? -1010101110101001110110 In base 5, what is 1 - -342310424121? 342310424122 In base 6, what is 5554 + -31113? -21115 In base 11, what is 270101 - 29? 270083 In base 5, what is 113202010200 + 4? 113202010204 In base 10, what is 717 - 34081? -33364 In base 16, what is 146599 - -115? 1466ae In base 12, what is 1040b4 + -174? 103b40 In base 15, what is 1d96 + -9795? -78ee In base 4, what is 2022103003 + 1010? 2022110013 In base 16, what is 2aa410 - -17a? 2aa58a In base 16, what is b385ea - -6? b385f0 In base 12, what is -a829 - a30? -b659 In base 12, what is 2223a414 - -2? 2223a416 In base 8, what is 1746166 + 24? 1746212 In base 11, what is -18153 + -7a1? -18944 In base 8, what is 67 - -1154631? 1154720 In base 11, what is 5592042 - -11? 5592053 In base 12, what is 634 - 164b90? -164558 In base 11, what is -40 - 151356? -151396 In base 10, what is 3703 + 2957? 6660 In base 11, what is -2689606 - 0? -2689606 In base 2, what is 111110011111 + 10111001100? 1010101101011 In base 11, what is -63 + 297? 234 In base 3, what is 220102112222 + -2121? 220102110101 In base 13, what is 32 + -2161cb9? -2161c87 In base 10, wh
{ "pile_set_name": "DM Mathematics" }
690 * -1.5283. -1054.527 0.5*-21295359 -10647679.5 132*414.7 54740.4 What is the product of -2 and -11407.74? 22815.48 -155771 * -0.0171 2663.6841 Work out 12.62 * 4631. 58443.22 -0.3*-67454.1 20236.23 Product of -45 and 1.53597. -69.11865 0.2477912 times -5 -1.238956 -7.4 * -0.047634 0.3524916 Calculate 0.255496*49. 12.519304 638157 * -0.072 -45947.304 Work out 98616 * 33. 3254328 What is -634799 times 50? -31739950 Calculate 59034118*3. 177102354 Calculate 6019.6*-2.1012. -12648.38352 Product of -73781684 and 1.3. -95916189.2 0.02484097*-0.3 -0.007452291 -50811484 times -1.2 60973780.8 What is -95859353 times -4? 383437412 Work out -2123351 * 0.168. -356722.968 What is the product of 6207 and 9585? 59494095 Product of -37874532 and 0.11. -4166198.52 0.019367957 times -0.1 -0.0019367957 -94550 times -0.1589 15023.995 Multiply -0.8 and 2202.947. -1762.3576 Multiply -0.3 and -72108.14. 21632.442 52535 * -6107 -320831245 Product of -122904719 and 0.2. -24580943.8 -302 * 200756 -60628312 What is 297277 times 0.046? 13674.742 What is -84955997 times -0.2? 16991199.4 1365251 times 1.03 1406208.53 What is 80 times 45861? 3668880 Calculate -13719.86*-30. 411595.8 Product of -56 and 538513. -30156728 Work out 3609 * -0.0612. -220.8708 Multiply 12479403 and 0.03. 374382.09 0.9 * 1036038 932434.2 Multiply 8 and 508452.2. 4067617.6 Calculate 0.066226*42. 2.781492 Work out 0.02 * 50547.6. 1010.952 What is the product of -82 and 33.1599? -2719.1118 What is the product of 0.1850692 and -0.2? -0.03701384 Product of -17.413 and -2.72. 47.36336 Multiply -20 and 27187891. -543757820 Multiply 1254797.31 and -2. -2509594.62 Work out 0.03696 * 1.81. 0.0668976 Calculate 0.1103*212702. 23461.0306 0.5892 times -0.032 -0.0188544 Product of -312935 and -0.013. 4068.155 Calculate 0.06*934502. 56070.12 Multiply 28503 and -3.94. -112301.82 Calculate -23*37388.3. -859930.9 Calculate -700823*156. -109328388 What is 26108447 times 0.3? 7832534.1 Product of 0.831974415 and -0.4. -0.332789766 Work out -40304.757 * -4. 161219.028 Multiply 325411.508 and -0.3. -97623.4524 Work out 383 * -81516.1. -31220666.3 1153017 * -1 -1153017 Work out 25 * 31199712. 779992800 Work out -1374 * -0.58543. 804.38082 45.317 times 1.216 55.105472 Multiply 0.58 and -1.1961292. -0.693754936 Product of -0.4 and -16038757. 6415502.8 Product of 23203 and 7243. 168059329 What is the product of -904826 and 19? -17191694 What is the product of -4.861 and 27.0147? -131.3184567 0.0943381 * -8 -0.7547048 What is the product of -0.25 and -3.49132? 0.87283 Calculate 0*-43494816. 0 Calculate 278.67827*-0.5. -139.339135 Work out -2135148 * -0.072. 153730.656 Multiply -0.12 and 3.0634012. -0.367608144 -0.2*10231226 -2046245.2 What is the product of 0.03399 and -2336? -79.40064 Work out 44062970 * -2. -88125940 What is the product of 4 and -7384.5553? -29538.2212 Calculate -116.168515*-1. 116.168515 Product of -1.6 and 172380. -275808 Product of -0.79725134 and -0.3. 0.239175402 Multiply -406.3 and -485. 197055.5 -13 times -812550 10563150 Work out 161.89 * 42.32. 6851.1848 0.4 * -67745.5 -27098.2 What is the product of -3880194 and -0.1? 388019.4 Work out -0.44 * 2397.35. -1054.834 356008.2 * 23 8188188.6 What is -0.3 times 3362404? -1008721.2 Multiply -19233066 and -0.5. 9616533 Work out 24.05848 * 52. 1251.04096 -48000.51 * 0 0 What is 8090.6 times -26? -210355.6 1848694.5*-2 -3697389 What is 335.478657 times -1? -335.478657 What is the product of 22710479.1 and -1? -22710479.1 72398.5*260 18823610 What is the product of -1198 and 33824? -40521152 What is 119 times -456.55? -54329.45 Work out -862612 * 195. -168209340 Product of 5 and -66648663. -333243315 Calculate 1.5*157572. 236358 Work out 1031308 * 8.4. 8662987.2 30909*2.12 65527.08 67733 times -716 -48496828 -9463 times -4244 40160972 -320428307 * 1 -320428307 124 times -6834.96 -847535.04 Calculate 1.7*-956.8. -1626.56 What is the product of -23 and -32581.1? 749365.3 What is the product of 223853.16 and 2? 447706.32 0.5*307207344 153603672 -4596.9 * 85 -390736.5 Calculate 744315360*-4. -2977261440 5*1009.08768 5045.4384 Work out 4870912 * 0.1. 487091.2 Calculate 0.01*-4122080. -41220.8 Multiply 6550 and -7.28. -47684 What is -1021197 times -72? 73526184 What is the product of 0.4 and 5351685? 2140674 0.15*-1517640 -227646 Multiply 55.85 and -0.022846. -1.2759491 5.405 times -50.117 -270.882385 Product of 37 and -13801.9. -510670.3 -1824.7348*1 -1824.7348 What is 0.08 times 11264327? 901146.16 -23*139421 -3206683 Calculate -0.22*-111.4493. 24.518846 Work out -5.35 * -93.2. 498.62 -176.61878*-0.3 52.985634 What is 42640 times 0.27? 11512.8 Work out -0.0753599 * 1.1. -0.08289589 What is the product of -3321777 and -1? 3321777 Work out 4845 * -60.674. -293965.53 2 times -24597785 -49195570 Calculate 107161*-1.591. -170493.151 Multiply -24385 and -18420. 449171700 -638000*-11 7018000 Calculate 22703131*5. 113515655 Multiply -0.1911 and -0.4889. 0.09342879 -68 times -352385 23962180 -152805 times -4.56 696790.8 Product of -197229 and -2517. 496425393 Multiply -3 and 41563.849. -124691.547 What is -535 times -468173? 250472555 Multiply 0.172 and -41429. -7125.788 Multiply -0.05240772 and -0.3. 0.015722316 Calculate -5171*3221. -16655791 Calculate 133*-10623. -1412859 Multiply 710278 and 0.2. 142055.6 What is -412441 times 143? -58979063 Multiply 40.07 and 143113. 5734537.91 Calculate 4892*-34369. -168133148 Product of -0.01 and -454608. 4546.08 -3*-614.1711 1842.5133 -0.063*-951715 59958.045 Multiply -289284 and 33. -9546372 Multiply 58.358342 and -0.2. -11.6716684 33942478 times 5 169712390 Work out 4876 * -1063. -5183188 What is the product of -76399 and 874? -66772726 121*3734 451814 What is -99 times 1.33573? -132.23727 Product of -465.204 and 3.809. -1771.962036 Multiply -76625039 and -0.1. 7662503.9 Calculate 5450027*-0.2. -1090005.4 Product of 6246 and -22.79. -142346.34 Work out -0.4419 * 61103. -27001.4157 1.6*20018903 32030244.8 Multiply -0.11 and 9460.11. -1040.6121 -1534.5 * 1156 -1773882 What is the product of -0.1 and -60.84799? 6.084799 Multiply -6657 and -18. 119826 Calculate 15487.41*8. 123899.28 Multiply 0.70757 and -81. -57.31317 2.29*-0.12304 -0.2817616 Work out -0.3 * 1911122.1. -573336.63 Product of -9580 and 0.01549. -148.3942 What is the product of 566 and -7280? -4120480 -67*-1738186 116458462 What is the product of -0.04 and 88897356? -3555894.24 0.234 times 83868.7 19625.2758 25958.97 times -0.1 -2595.897 61 * 199.31 12157.91 3962 * 0.094097 372.812314 Multiply 0.2 and -301.904471. -60.3808942 Multiply -0.1309 and 382.6. -50.08234 0.154321 * 0.063 0.009722223 -727058*0.101 -73432.858 Work out 2897 * 6772. 19618484 -0.1*632155 -63215.5 Calculate -2523*-6905.85. 17423459.55 What is -197515 times -17.09? 3375531.35 What is the product of 9435675.9 and -0.1? -943567.59 What is the product of -614 and -0.052348? 32.141672 -449 * -3.407 1529.743 What is the product of 0.54108571 and 0.4? 0.216434284 Multiply 25.177 and 3.163. 79.634851 Calculate -0.5*2030.817. -1015.4085 Calculate -0.1242*32547. -4042.3374 What is the product of -624312.638 and -0.4? 249725.0552 -36050264 * 0.1 -3605026.4 Work out 304906.777 * 0.2. 60981.3554 Work out 0.938729 * 7. 6.571103 56701 * 6191 351035891 What is 70904.4 times 0.093? 6594.1092 Calculate -72*-1586477. 114226344 0.5 * 3675588 1837794 Multiply -0.44032123 and -0.3. 0.132096369 Calculate 4182*-1.2. -5018.4 What is the product of -6019332 and 0? 0 -104005956 times 2 -208011912 Calculate -0.15*-29.67004. 4.450506 What is the product of -2185.8104 and 14? -30601.3456 1.2387044 * -1 -1.2387044 -9776815*-0.01 97768.15 3.22 * -2599.24 -8369.5528 292666*-1424 -416756384 Multiply 1.2 and -103.432. -124.1184 Work out 0.2 * -96661.407. -19332.2814 Calculate 18140839*4. 72563356 Product of -14 and -1100053. 15400742 What is 1937.578 times -20? -38751.56 What is the product of 0.3 and -1.069868? -0.3209604 What is -167257.378 times 3? -501772.134 Multiply 9848 and -6649. -65479352 Work out 3234.803 * -0.1. -323.4803 Product of 13 and 1511644.5. 19651378.5 What is the product of -41.17 and -0.23539? 9.6910063 Product of 130008 and 476. 61883808 What is 152 times 3.637052? 552.831904 17057*-0.073 -1245.161 Wha
{ "pile_set_name": "DM Mathematics" }
((t/(t*t**(-20)))/(t**(1/16)*t))/(t**18*t*t**(-3/11)) assuming t is positive. t**(37/176) Simplify (((g/g**4)/g)/g**5*(g**1*g)**(-19))**(3/38) assuming g is positive. g**(-141/38) Simplify (m**(2/39)*m*m)/m**16*m**(-5)*m**(-16) assuming m is positive. m**(-1363/39) Simplify ((r/(r/r**(-5)))/(r*r*(r/r**(1/2))/r*r*r)*(r*r*r/r**(-2))**(-3/11))**(7/5) assuming r is positive. r**(-1519/110) Simplify ((w**(-20)/w*w*w)/((w**15/w)/w))/((w/(w/w**(-1/5)*w)*w)/w**(3/7)) assuming w is positive. w**(-1098/35) Simplify (d**(1/3))**(12/7)/(d**(-4))**(-2/123) assuming d is positive. d**(436/861) Simplify ((n/n**2)/n**(-8)*(n**(-2))**(-19))**(-6) assuming n is positive. n**(-270) Simplify n**22*n**(-16)*n*(n*n/(n/n**(5/11)))/(n*n**13) assuming n is positive. n**(-61/11) Simplify (b/(b**(-7)/b))**(-1/50)/(b**18/(((b*b**(2/33)*b)/b*b)/b*b)) assuming b is positive. b**(-26597/1650) Simplify ((z/z**11)/(z**(-1)*z))/(z**5/z)**(-48) assuming z is positive. z**182 Simplify ((a**0)**15/(a*a**(-1/4)*a*a)**(2/155))**(24/7) assuming a is positive. a**(-132/1085) Simplify (p**8/(p/p**(-3))*(p*(p/(p*p/((p**(1/4)/p)/p)*p)*p*p)/p)/((p**(-2/3)*p*p)/p))**(4/7) assuming p is positive. p**(23/21) Simplify (c**(-4/15))**32*c/c**7*c*c**(-2/3) assuming c is positive. c**(-71/5) Simplify (((y*y**(2/7))/y)**47*(y**0)**46)**49 assuming y is positive. y**658 Simplify ((q*q**2)**(-1/20)/(q/q**(2/5))**(-2/17))**12 assuming q is positive. q**(-81/85) Simplify (r/(r*r/r**5*r))**(-32)/(r/r**(-17))**(-9) assuming r is positive. r**66 Simplify t*t**(-1/19)*t**28*t*t**(-26)/(t/(t**(-2/9)/t)*t*t) assuming t is positive. t**(-47/171) Simplify (u/(u**(-13)/u*u))**(1/13)/((u/(u/u**13))/((u*u**(2/5)*u)/u)) assuming u is positive. u**(-684/65) Simplify ((v**(-2))**34/((v*v/(v/(v**0*v)))/v**6))**12 assuming v is positive. v**(-768) Simplify (c/(((((c**(-16)*c*c)/c)/c)/c*c)/c))/(c/c**14)*(c**(4/9))**(-1/7) assuming c is positive. c**(1949/63) Simplify (y**14*y**(-5))/((y*y*y/y**30*y)/(y/y**(-9))) assuming y is positive. y**45 Simplify m/(m**(1/10)*m*m)*m/m**13*((m*m/(m**(-4)/m))/m*m)**(-11) assuming m is positive. m**(-901/10) Simplify j**(-6/7)*j*j/(j*j**1/j)*j**10/(j**(-1/2)*j) assuming j is positive. j**(135/14) Simplify ((t*t**(-3)/t)**(-11/6)*t*t**(-2)*t**(2/3)/t)**49 assuming t is positive. t**(1225/6) Simplify j**16/j*j*j*j*j**(-28)*j**(-2/79)*j**(-4/9) assuming j is positive. j**(-7444/711) Simplify (n**16*n)/n**(-3/4)*n**13/n*n/(n/(n*n**(2/9))*n*n) assuming n is positive. n**(1043/36) Simplify (((a*a*a**(-8)/a)/a)**22)**(-27) assuming a is positive. a**4752 Simplify (f*f/(f*(f**(1/9)/f)/f*f*f)*f*f*f/f**(2/25))/(f**(-2/45)*f*(f**(2/13)/f)/f) assuming f is positive. f**(4582/975) Simplify ((f*f/(f/(f**(-5)*f)))/((f*f/f**(-4))/f))/((f/(f*f/(f/f**(4/9))*f))/(f/(f/(f**(-1/8)*f)))) assuming f is positive. f**(-409/72) Simplify (((m/m**(-1)*m)**(-10))**2)**(-1/31) assuming m is positive. m**(60/31) Simplify ((q/q**(-2))/q)**47*q**(1/42)/(q**(1/6)*q*q) assuming q is positive. q**(643/7) Simplify (c**2*c**6*c)/(c**(-23)*c/(c**(-3/11)/c)) assuming c is positive. c**(327/11) Simplify (w*w*w/(w*w**(-15)*w)*w*(w*((w/(w/w**(11/5)))/w)/w)/w*w)/((w*w**(-9/4)/w)/w*w**(-2/41)) assuming w is positive. w**(17629/820) Simplify n**3/n**21*n**18/((n*(n/(n**(1/19)*n))/n)/n*n) assuming n is positive. n**(1/19) Simplify ((o*o/o**(-12)*o)/(o*o/(o**(1/13)*o)))/((o**(1/5)*o)/(o**18*o)) assuming o is positive. o**(2072/65) Simplify x**(-20)*x**7*x**15/x**(-1/11) assuming x is positive. x**(23/11) Simplify (w*w*w*w**(-2))**(1/6)/((w/(w**(-10)/w)*w)/(w*w/((w/((w**(-16)/w)/w*w))/w))) assuming w is positive. w**(-167/6) Simplify (b*b/((b*b**(11/2)*b)/b))**20/((b*b**(-6/13)*b*b*b)/(b/(b*(b**26/b)/b))) assuming b is positive. b**(-1528/13) Simplify ((q/q**9)**40)**(-2/33) assuming q is positive. q**(640/33) Simplify x**5*x*x/(x/x**(1/13))*(x**(11/3)/x)/x**(-12) assuming x is positive. x**(809/39) Simplify ((v/v**(-8))/(v**(-5)*v))**(-18) assuming v is positive. v**(-234) Simplify (((n**(1/12)/n*n)/n)/n**(2/7))/(n**(2/15)*n)**(3/20) assuming n is positive. n**(-1441/1050) Simplify (r**20*r*r**(1/5))/((r**(1/3)/r)/r*r/(r/(r**14/r*r)*r)) assuming r is positive. r**(148/15) Simplify b**(4/7)/(b/(b/(b/(b*(b*(b*b**0/b)/b*b)/b*b)*b)))*b**(-9)/b**(1/17) assuming b is positive. b**(-1010/119) Simplify ((s/s**(-5))/s*s)/(s**(2/15)*s)*(s*s**(-4/5))/s**(2/25) assuming s is positive. s**(374/75) Simplify ((b*((b**(1/11)*b)/b)/b*b)/b**5*(b**(-1))**(-1))**33 assuming b is positive. b**(-96) Simplify (a*a**(2/5)*a)/((a/a**(1/11))/a)*a**6*a**(-2/3) assuming a is positive. a**(1291/165) Simplify (p/(p*p*p**(-7/3)))**(10/3)*(p/(p*p/(p/((p/((p*p**(-13/3)*p)/p))/p))))/p**10 assuming p is positive. p**(-80/9) Simplify ((f/(f**9*f))/f)**(2/15)*(f/f**(2/15))**(9/5) assuming f is positive. f**(17/75) Simplify g**(-3)/(g**(2/19)/g)*((g/(g*g**(3/5)*g))/g)**(-1/30) assuming g is positive. g**(-5753/2850) Simplify w**(-1)*w/w**(1/6)*(w/(w*w**(-2/43)))/(w**(-2/5)/w) assuming w is positive. w**(1651/1290) Simplify (o*o**(-3/5)*o*o**5/o)/((o**(-4)/o)/(o/(o**(-5)*o*o))) assuming o is positive. o**(72/5) Simplify ((t**(-2/7)/(t**(3/8)/t))/(t**(-1))**41)**(7/5) assuming t is positive. t**(463/8) Simplify w**(-13)*w**22*w*w**(2/49)*w*w*w/(w/(((w*w**(-21)/w)/w)/w)) assuming w is positive. w**(-537/49) Simplify ((k/(k/(k**(-21)*k)))/k*k*k**(1/4))**(-2/5) assuming k is positive. k**(79/10) Simplify (q*q**(-19)*q*q**(5/11))**22 assuming q is positive. q**(-364) Simplify (h**1)**(24/11)/((h/h**(4/7))/(h/(h/(h/(h*h*h**(-1/4)))))) assuming h is positive. h**(309/308) Simplify ((l**(4/5)*(l**23*l)/l)**(2/3))**10 assuming l is positive. l**(476/3) Simplify ((((a*a**(1/5))/a*a*a)/a)**5*(a**(-2/3)/a)**(-43))**(2/39) assuming a is positive. a**(466/117) Simplify (t*t/(t/(t/t**(-1)*t)))/t**22*t*t*t**18*t**(-1)*t*t assuming t is positive. t**3 Simplify (z**12)**(-30)/((z/z**(3/7))/(z*z/(z**(1/8)*z))) assuming z is positive. z**(-20143/56) Simplify (n**(-2/3)/n)/(n/(n*n*n**(-1/3)*n)*n)*(n**(-1/8))**(-7/4) assuming n is positive. n**(-25/32) Simplify h/(h*h/((h/(h/(h**6*h)))/h)*h)*h/h**(-2/7)*h*(h**21*h)/h*h*h/(h/((h/(h/((h/(h/h**21))/h)))/h*h))*h assuming h is positive. h**(345/7) Simplify ((b*b/(b*b**(-8))*b)/(b/(b*b*b**6)))**(4/5) assuming b is positive. b**(68/5) Simplify l**(-3/4)/l*l**27*l*(l**(-2/7)*l*l)/(l/((l**(-19)*l)/l)) assuming l is positive. l**(223/28) Simplify ((a*a*a*a**1*a*a)/(a/a**(-2)))/((a**(-4/7)/a)/a*a**(11/5)) assuming a is positive. a**(118/35) Simplify (d/(d/d**(-1/2))*d)**50*(d/(d/(d/((d*d*d/((((d/(d/d**4))/d)/d)/d)*d*d*d)/d))))**(-22/5) assuming d is positive. d**(191/5) Simplify ((w*w/(w*w/w**(1/9))*w*w*w**(2/13))/(w**2*(w*w/w**(-1/7)*w*w*w)/w))**(1/17) assuming w is positive. w**(-3176/13923) Simplify ((p*p*p**(1/19))/p**(-1/6))/((p*p**22)/((p**(-2/45)*p)/p)) assuming p is positive. p**(-35611/1710) Simplify a*a**(-2/31)*a**26*(a**29)**(-1/5) assuming a is positive. a**(3276/155) Simplify ((f*f**(-16)/f*f/((f**22*f)/f)*f)**(-1/26))**(2/109) assuming f is positive. f**(36/1417) Simplify (x/x**(1/20))/((x**(-7)*x)/x)*x**15/((x/(x/x**21))/x) assuming x is positive. x**(59/20) Simplify a/(a/((a*a**(-8/5))/a))*a*a/a**(2/9)*a**(2/17)*(a*a**(-24))/a assuming a is positive. a**(-18134/765) Simplify ((q**1/q)/q*q)**(-2/11)*q**(-2/3)/q**7 assuming q is positive. q**(-23/3) Simplify t*t*t**(6/13)/t*t*t**(2/53)*t**19*t**(-2/7) assuming t is positive. t**(102313/4823) Simplify (x**(6/11)*x/(x**(-7)/x))/((x**(-14)/x*x)/x**12) assuming x is positive. x**(391/11) Simplify ((w**(-1/16))**(-2/15))**(-39) assuming w is positive. w**(-13/40) Simplify ((c**(-1)/c)**(2/119)/((c/c**(-5))/((c*c*c**10)/c)))**(-2/11) assuming c is positive. c**(-1182/1309) Simplify (((d/(d/d**(2/11)))/(d*d*d**5*d*d*d*d))/(d/d**10*d/d**(-1/10)))**(12/13) assuming d is positive. d**(-1926/715) Simplify (((j*j**(-4))/(j**(-4)*j))/((j/(j/((j/j**(-2/9))/j))*j)/(j/(j**(-3)/j)*j)))**(-5/6) assuming j is positive. j**(-215/54) Simplify (((g*g**(-2/5))/((g/(g**7/g)*g)/g))/(g**(-7)/((g*g/g**(-1/8))/g)))**46 assuming g is positive. g**(12627/20) Simplify ((g**0*g)/(g*g*(g/(g/g**(7/5)*g))/g*g*g))**(14/5) assuming g is positive. g**(-168/25) Simplify i**(-2/11)/i**(-1/21)*i**5/(i*i*i**(3/19)) assum
{ "pile_set_name": "DM Mathematics" }
j)/j*j*j**(-3/5)*j)**(-1/23)*(j/(j/j**(-2)*j)*j/(j/(j*j/((j*(j**(2/37)/j*j)/j)/j)*j)*j))**(2/17) assuming j is positive. j**(-1718/72335) Simplify ((t/t**0)**(-2/161)*t**(2/5)*t**(-5))/(t**(-4/7)/(t*t/(t*t*t/t**(-2/11)))*(t*t/t**(-1))**(-34)) assuming t is positive. t**(856962/8855) Simplify ((y/y**(-2/15))/((y*y**(-6)*y)/y))**(-9/11)/((y*y**(-3/2)*y*y)/(y**(-8)/y))**2 assuming y is positive. y**(-1431/55) Simplify ((o*o**(-2/3))**39*o**(-1/5)*o/o**(-2/7))/((o**(-2/3))**(-7/11)/(o*(o*o/(o*o**7/o))/o*o*o*o**2*o)) assuming o is positive. o**(15779/1155) Simplify ((z**(-2)*z*z**(2/11)*z*z*(z/((z/z**(-1/4))/z))**20)**(6/25))**(2/9) assuming z is positive. z**(712/825) Simplify (y/y**(-7)*y**21*(y**(2/9))**(17/2))**(-31) assuming y is positive. y**(-8618/9) Simplify (u/u**(-3/5)*u*(u/(u*u**(2/9)))/u)/(u**(-2/13)*u*u/u**(1/4))*u/((u**(6/5)/u)/u)*u**(-9)*(u/(u/(u/u**(-1))))**(-19) assuming u is positive. u**(-106279/2340) Simplify (((s/((((s*s**(-3))/s)/s)/s))/s)/s**(-1/8))**(-5/2)*(s**(-6)/s**(-4))/(s**1)**(6/11) assuming s is positive. s**(-2703/176) Simplify ((q**(-25)*q**(-16)/q*q)/(q**27)**(3/4))**(2/79) assuming q is positive. q**(-245/158) Simplify ((u**2)**47*u**(1/12)/u*u**(1/10))/(((u/u**2)/(u/u**0*u))/(u**(-5/6)*u**(-4/7))) assuming u is positive. u**(13269/140) Simplify ((l**0)**(1/29))**(-9/4)*(l**(4/5)*l**(-2/7)/l)/(l**(-2/15)*l*l*l**(2/3)*l) assuming l is positive. l**(-422/105) Simplify d**(-2)*d*d/(d/(d**(-38)*d))*d*((d/d**(26/7))/d)/d*d*d*d*d**18/d assuming d is positive. d**(-152/7) Simplify ((a**(-1/27)/((a**(-4/21)*a)/a))/(a**(2/9)*a*a/(a/(a/a**(1/9)))))**35 assuming a is positive. a**(-1850/27) Simplify (h**(3/4)/(h*((h/h**4*h*h)/h)/h)*(h**(-2/7))**(4/5))/(h**(-8)/(h*h**4))**(-2/103) assuming h is positive. h**(32719/14420) Simplify (((i**14/(i*i/i**(-3/4)))/((i/(i**11/i))/i**(2/7)))**(-46))**39 assuming i is positive. i**(-515775/14) Simplify (w**0/(w/(w*w**7))*(w/((w**(-2)/w)/w*w))/w*w**(-4))/(((w*w/(w*w**(-1))*w)/w*w)**(-6)/(w**(-1/8)*w/(w*w/(w/w**0)*w))) assuming w is positive. w**(183/8) Simplify ((i**1/i*i*i)**(-32/7))**(-41)/((((i/(i/(i*i**1))*i)/i)/(i/((i**(-5/6)/i)/i)))/(i/(i*((((i**(-2/5)*i)/i)/i)/i)/i))**(9/7)) assuming i is positive. i**(80023/210) Simplify ((p*p**(-1)*p**(-4)/p*p)/(p/(p**(-2/5)*p))**(1/3))/((p**0)**(-5/9)*(p**0*p)**(-12)) assuming p is positive. p**(118/15) Simplify ((p/(p/p**(-10/11)*p))**(-17)*p**(3/11)/((p/p**(-3/5))/p))**(-9/2) assuming p is positive. p**(-15903/110) Simplify ((x**5*x**(-1/2))/(((x/x**(-1/5))/x)/x*x*x*x/x**16))**(-2/41) assuming x is positive. x**(-183/205) Simplify q**(-3/2)*q/(q/((q**0/q)/q))*(q*q*q**(2/3))/q**5*q**(3/5)/(q*q**4)*q**2*q**(-1/4)/q assuming q is positive. q**(-569/60) Simplify ((f/(f**(-6)*f))/(f**8/f*f))/(f**2)**(-2/21)*(f*f**(4/9)*f*f**(3/7))**1 assuming f is positive. f**(67/63) Simplify ((d**0)**(-2/187)*d**(-2/21)*d/d**(-2/23))/(((d*d**(1/4))/d)**(2/3)/(d**(2/5)*d**(-1/11))) assuming d is positive. d**(60257/53130) Simplify w*w*w**(-2/23)*w**(-6/11)*(w/w**(-2/7))**(3/37)*(w/(w**(-13)*w)*w*w/w**(-1/12))**(-35) assuming w is positive. w**(-413956205/786324) Simplify (x**(-4)*x**7*x)/(x/x**(-4/5)*x*x**(-3/8))*(((x*x**(3/7)*x*x)/x*x)**0)**(-5) assuming x is positive. x**(63/40) Simplify (((i/i**(-2))/i)**(1/2)/((i/((i**6/i*i)/i*i*i*i*i))/i**(-18)))**18 assuming i is positive. i**(-162) Simplify ((c**(-1/4))**(2/49))**(-35/3)*(c*c**(-1/4))**(-3/2)/(c**(-8/5)*c/(c*c**(5/6))) assuming c is positive. c**(1199/840) Simplify ((j**0/j*j/j**(-3))/(j**0*j)**30)/((j**6/(j**(-3/7)/j))/(j**(-2)*j*j*j**(-5))) assuming j is positive. j**(-276/7) Simplify (s**(-2/5)/s*s**7*s*s**(-7/2)/(s*s**(-5)))**(3/10) assuming s is positive. s**(213/100) Simplify l*l*l**(-2)*l*l*(((l*l**(-1)/l*l)/l*l)/l)/l*(l**(-1)*l)**(-4)*(l**5/l*l/((l/l**0)/l))**(1/14) assuming l is positive. l**(5/14) Simplify (o/(o/(o*o**(-1/9)))*o/(((o/((o/o**(2/7))/o))/o)/o))**(3/32)*o**(-3/5)/(((o*o**(-3)*o*o)/o*o*o)/o*o)*o**(-1/4)/o*o/(o**1*o) assuming o is positive. o**(-3029/840) Simplify ((((m*m/(m**(4/5)*m))/m*m)/m)**(-27))**3*(m**(-2))**(-2/11)/(m**(-3/8)*m**6) assuming m is positive. m**(26197/440) Simplify ((i*i**(-2/7))**45*(i/i**1)**(3/20))/(i*i*i/(i/i**(-2/23))*i*i*i*i**(-1/4))**(9/14) assuming i is positive. i**(37539/1288) Simplify (f/(f*f**(5/3)*f))/f**(1/4)*(f/f**(-2/5))**19*(f/f**(-5))/f*f*f**(4/7)*f**(1/4)*f/(f*f**(2/5))*f assuming f is positive. f**(3266/105) Simplify (x/(x**1*x*x))**(-6/19)/(x**(2/7))**22*((x*x**(-6)/x)/x*x**(-2))/(x**3*x*x*x**(2/7)/x) assuming x is positive. x**(-2519/133) Simplify (o**6/(o**(-3/5)/o))**25*(o**(-2/7)*o/(o/(o**7*o))*o)**(-14/5) assuming o is positive. o**(828/5) Simplify ((i**(-2/37)*i)/(((i**(2/19)*i)/i)/i*i))**(8/9)*((i/i**(1/16))/i**(-3))**(3/5) assuming i is positive. i**(524681/168720) Simplify (s/s**2*s/(((s**(-1/4)/s)/s*s)/s)*s)**29/((((s/s**(-3/7)*s)/s)/s*s*s/s**(-2))/(s**(-2)*s*s**(-2/9)*s)) assuming s is positive. s**(22579/252) Simplify (((y/y**(-1/4)*y/((y/(y/(y**(1/16)/y)*y))/y*y)*y)/((y**11*y)/((y**0*y)/y)))**44)**6 assuming y is positive. y**(-3597/2) Simplify (((y*(y/(y**(-30)*y))/y)/y**34)/(y/(y**18/y*y)*y/y**(1/9)))**(2/7) assuming y is positive. y**(218/63) Simplify ((k**(-49)*k**26)**(4/11))**48 assuming k is positive. k**(-4416/11) Simplify (x**(-6/5)*x**(-1/2)/x)**(1/4)*x**(2/15)*x**(-7)*(x/x**0)/x*x*(x*x/(x*x*(x/(x/x**(4/7)))/x))/x*x assuming x is positive. x**(-1027/168) Simplify ((((j**(-5))**(-4/25))**(8/5))**(-38))**(-30) assuming j is positive. j**(7296/5) Simplify ((s/(s/(s/(s*s*(s/(s**(-2)*s*s))/s)))*s)**36*(s**(-2/7)*s)/(s*s**(-6)))/((s/(s**(1/4)*s))**(-32)/((s*s**(-1))/s)**(-14)) assuming s is positive. s**(82/7) Simplify (((c*c/(c**1/c))**(1/14)/(c*c*c*c**3*c*c*c)**(-1/2))**(3/25))**34 assuming c is positive. c**(663/35) Simplify ((l**(3/5)*l*l**2*(l/l**(4/5))/(l/(l/(l**8/l))))**19)**44 assuming l is positive. l**(-13376/5) Simplify (((j*j**(-6/19)/j*j)/j**(3/4))/(j*j**(6/11)*j*j*j*j/(j/(j/j**(-34))*j)))**16 assuming j is positive. j**(-129116/209) Simplify ((((m*m**(-1))**(-21))**(-1/70))**(-38))**9 assuming m is positive. 1 Simplify (d*d**(-2/5))**(-7)*d**(-1)/(d/((d*d*d/d**(-1/2))/d*d)*d)*(((d*d**(2/9))/d)/(d**(4/9)/d))/((d**4*d)/d**(-4/7)) assuming d is positive. d**(-5351/630) Simplify ((x**17/x)/(x/x**(1/10)))/(x*x**(-1/10))**(-37) assuming x is positive. x**(242/5) Simplify ((w**0)**(-11))**(-7)*(w*w*w*(w**0/w*w)/w*w)**42*((w*((w*w**(2/3))/w)/w*w)/w)**(-1/39) assuming w is positive. w**(14740/117) Simplify b/b**(-2)*b**(-1/8)/b*b**(1/12)/b**(-8)*(((b*b/(b*b**(-1/4)))/b)/b)**(2/19)*b**(-2/3)*b*b/((b*b**(6/5))/b*b) assuming b is positive. b**(20549/2280) Simplify (((x*x**0*x)**(-24))**42)**(-10/13) assuming x is positive. x**(20160/13) Simplify (s**(-2/45)*s**(-5)*s**2/(s*s**10))**(3/16) assuming s is positive. s**(-79/30) Simplify ((b**0*b)/b*(b/((b/(b*b**2))/b)*b)/b)**(2/31)*((b**(-3)/b)/b**(-1/5))/(b**(2/9)/b*b*b*b**(-1/7)/b) assuming b is positive. b**(-35362/9765) Simplify ((x**(1/7)*x*x*x**(5/4)*x*(x/((x**(3/5)*x)/x))/(x/x**(-6)))**(4/15))**(-18) assuming x is positive. x**(1854/175) Simplify ((h**(-1/16))**(5/9)*(h**(2/33)*h)**27)**(-49) assuming h is positive. h**(-2219945/1584) Simplify ((p**(1/2)*p)**5/(((p**(-2/5)/p)/p)/p**(-1/7)))/(((p/p**(-1))/p)**(12/5)/((p/(p*p**6*p*p)*p)/((p/(p/p**(-7))*p*p)/p))) assuming p is positive. p**(89/14) Simplify ((c/(c**(2/3)*c))/c)**29*c**6*c**(-6)*((c**(-2))**(-48))**(1/8) assuming c is positive. c**(-109/3) Simplify ((b*b*b/b**(1/4)*b*b)/(b/(b*b/(b*b/b**(2/5))))*b**6/((b*b**(1/2)/b)/b))/(b**(-2/3)*b/(b**5/b))**(-10/11) assuming b is positive. b**(439/60) Simplify ((o*o/(o*o**25)*o*o/(o*o/o**18))/(o**(-11/6)*o**(7/3)/o))**42 assuming o is positive. o**(-231) Simplify ((q/(q/(q*q**(4/11)))*q**(-1/18))/(((q**8/q)/q)/q**(20/3)))**(4/21) assuming q is positive. q**(782/2079) Simplify (((z*z/(z/(z/(z/((z/z**(3/4))/z))))*z)**(-2/19)/(z**(3/2)*z*z**(-6)))**(-19))**(-36/11) assuming z is positive. z**(2304/11) Simplify (n**3*((n/(n/(n*n**(-2/17)*n))*n)/n)/n)**41*(n**(-6/11)/n*n**6)/(((n/(n*n**(1/2)))/n)/(n**(-1/8)*n)) assuming n is positive. n**(248345/1496) Simplify ((v*v/v**(3/7))/(v/(v*v**(6/11)))*(v*v**(2/13)*v)**(-1/3))**(-3/4) assuming v is positive. v**(-4201/4004) Simplify (
{ "pile_set_name": "DM Mathematics" }
17. Is p prime? False Let i(k) = 15*k**2 - 17*k + 2. Suppose -19*z + 17*z - 10 = 0. Let v(s) = 22*s**2 - 26*s + 3. Let x(d) = z*v(d) + 8*i(d). Is x(-6) a composite number? False Suppose 0 = -11*k + 7*k + 54148. Is k prime? True Let f(z) = 29*z**2 + 23*z - 31. Is f(-13) a composite number? True Let i be (5 - -7)*(-2)/(-6). Suppose v + 15 = 6*v. Suppose -2*b = -f + 157, -v*f = i*b - 381 - 110. Is f composite? True Let a(i) = -4*i + 30. Let d be a(7). Suppose -p = 5*m - 735, p = -d*p + 3*m + 2241. Is p a prime number? False Let t be (-1008)/2 + 1/1. Let k = 1206 - t. Is k a prime number? True Let g = -8403 + 21694. Is g a composite number? False Is 19554 + (-10 - (-18)/2) a prime number? True Let m(h) = -h**2 - 13*h + 2. Let r be m(-13). Let q(l) = -l - 2*l + 0*l**2 + 4 - 2*l**r + 5*l + l**3. Is q(5) prime? True Let v(a) = 6*a**2 - 28*a + 23. Is v(13) composite? False Suppose -2*n - 4 = 4. Is 2/((-2)/977)*4/n composite? False Suppose 22 = 4*d - 3*s + s, -s = -1. Suppose -3*f + 2*q = -d, 2*f - 4*q - 4 = -0. Suppose -n + 569 = 4*b, 695 = 5*b - 4*n + f*n. Is b a prime number? False Let a(y) = 3*y**3 + 10*y**2 - 3*y + 45. Is a(7) a prime number? True Let q = 8 + -9. Let c be ((-2)/q + -2)*1. Suppose -g + 0*g + 3*z + 394 = c, -1501 = -4*g - 3*z. Is g prime? True Let n(d) = 6*d - 45. Let g be n(8). Suppose 0*x - 5*x = 20, 5*x = 2*y - 114. Suppose g*h - y = 10. Is h a prime number? True Let b be 2/(-2) + 6/2. Suppose 0*p - b*p = -4*w - 970, 5*p - 2500 = -5*w. Let n = p + -48. Is n composite? True Suppose c + c = 4. Let t = c + 3. Suppose -p + 11 = -5*v - 7, t*p = v + 162. Is p composite? True Suppose 0 = -2*h - 3*h + 4*q + 52119, 4*h - 41712 = -q. Is h a prime number? True Let a(l) = -6*l**3 - 7*l**2 + 11. Is a(-6) a composite number? True Suppose 117994 = 22*z - 2368. Is z a prime number? True Let o(w) = -481*w**3 - w**2 - 7*w - 5. Is o(-1) a prime number? False Let b = -4060 + 6999. Is b a prime number? True Let c(a) be the second derivative of 19*a**3/6 + 33*a**2/2 + 10*a. Is c(14) a prime number? False Let l(s) = 1286*s - 723. Is l(4) composite? False Suppose -85524 + 24772 = -16*s. Is s a composite number? False Let y = 187 + -185. Let r(t) = -t**2 + 3*t + 4. Let f be r(3). Is (f - y)*1468/8 a composite number? False Let d(z) be the second derivative of 3*z**4/4 - 5*z**3/6 + 13*z**2/2 + 25*z. Is d(7) a prime number? True Let t(n) = n**3 - 3*n**2 - 3*n - 3. Let b be t(-3). Let q = 33 + b. Is 2 + (-5)/(q/1233) a composite number? True Let m = 10536 - 4433. Is m a prime number? False Let i(d) = 180*d**3 - d**2 + 1. Let c be i(2). Suppose -v + 4*v + c = 0. Let t = v + 870. Is t prime? False Let z(j) = j**3 - j**2 + 3. Let u be z(-2). Let n be 9 + u + 1 + 229. Suppose -3*s = -5*y - 684, 4*y - n = -s + 15. Is s a composite number? False Suppose 5*z - 16007 = -3*o, -25571 = -4*o - 4*z - 4215. Let p = -2985 + o. Is p a prime number? False Let s = -14366 - -41543. Is s prime? False Suppose -o + 13 = 2*q, 0 = -q - 7*o + 2*o + 20. Suppose -1032 = -q*m + 23. Is (m/2)/((-7)/(-14)) a composite number? False Let g(p) = -1809*p**3 + p**2 - 5*p - 3. Is g(-2) composite? True Suppose -163*k + 172*k - 126639 = 0. Is k composite? False Suppose 7*l + 8296 = 5*l. Is ((-3)/9 - l/6)/1 prime? True Suppose 9*i = 5*i - 4*f + 17484, -4383 = -i + 5*f. Is i prime? True Let w(f) = -f**2 + 14*f - 2. Let v be w(14). Let u be (-1)/v + (-5635)/(-10). Suppose -3*l - u = -7*l. Is l composite? True Let w be (-24)/(-18)*((-15)/(-2))/5. Suppose b - 320 = -3*r, -w*b = 2*b + r - 1258. Is b composite? True Let u be 1/(-3) - ((-8)/6 - 3). Suppose 0*b + 1228 = u*b + 3*z, 2*z = 3*b - 921. Is b a composite number? False Let f = 541 - 305. Let w = 246 + f. Let u = 227 + w. Is u composite? False Let h be (-4 + 2246)*(-4)/(-8). Let o = -602 + h. Is o a composite number? True Suppose -1544 = -3*l - l. Suppose -3*z + 633 = -2*t - l, -t - 477 = 5*z. Let p = t - -891. Is p composite? False Let b(z) = z**2 - 9*z + 15. Let k be b(6). Suppose -w + 0*o = 3*o - 1, -4*w = 5*o + 3. Is (k/w)/((-27)/(-4194)) a composite number? False Let d = 104 + 24. Suppose 6*j - j = -z + 126, -5*j + d = 3*z. Suppose 0 = -3*k + j + 8. Is k prime? True Let y(q) = -q**3 + 3*q**2 + 7*q - 1. Let u = 18 - 15. Let h be y(u). Let s = -5 + h. Is s composite? True Is (-5 - (-272)/56) + (-337696)/(-14) prime? True Let s = -25 + -52. Let k = s + 407. Suppose 5*v = 3*f + 793, 2*v - k = -f - f. Is v a composite number? True Suppose 3*a + 0*v = 2*v - 1, 0 = 5*a - 3*v. Suppose 2988 = -a*b + 10038. Let f = b + -1471. Is f prime? False Is 16/(-72) - (7 - (-1286474)/(-63)) prime? False Suppose 6651 = 2*n + h, -3*h - 6655 = -2*n - 0*n. Let o = -2067 + n. Is o a prime number? True Let o be (11 - 12)/((-1)/3). Suppose o*z + 11 = -13. Is 226*(-1)/(z/4) prime? True Suppose -4*y + 7841 = -4*i + 7*i, 0 = 5*i + 2*y - 13059. Is i a prime number? False Is (((-1)/(-1))/(-1))/((-31)/42191) a composite number? False Let c be ((-10)/20)/(2/(-32)). Let l(j) = j**2 - 4*j - 10. Is l(c) composite? True Suppose 6*x + 5 = 7*x. Suppose -82 = -t + x*u, -2*t + 4*u + 55 + 127 = 0. Is t a composite number? False Let a = 109142 - 76731. Is a composite? False Let d = -12 - -29. Let n = 28 - d. Is n prime? True Let j(t) = -9*t**3 - 7*t**2 + 5*t - 2. Let n(b) = 14*b**3 + 10*b**2 - 7*b + 3. Let c = -20 - -27. Let p(a) = c*j(a) + 5*n(a). Is p(3) prime? True Let c = -26 - -24. Is (-1)/2 - 111/c a composite number? True Suppose 28*k - 27*k = 3*f - 2108, -f + 691 = 2*k. Is f a prime number? True Let i(j) = -36*j + 2. Let h be i(1). Let t = h + 33. Is 2 + -4 + 236 + t a composite number? False Let k = -1362 - -2513. Is k a prime number? True Suppose -18*b - 143 = -19*b. Is b composite? True Let d(q) = -q - 5. Let u be d(-7). Let g(x) be the second derivative of 31*x**3/3 - 3*x**2/2 + 4*x. Is g(u) composite? True Let w = -84415 - -127002. Is w a composite number? True Let m(q) = q**3 + q**2 - q + 52. Let g be m(0). Let z = 987 + g. Is z a composite number? False Let g(y) be the first derivative of -y**4/12 - 13*y**3/6 - 11*y**2/2 - 6*y + 5. Let j(m) be the first derivative of g(m). Is j(-9) a composite number? True Let j be (-16726)/(-18) - (-2 + 140/63). Is 0 - j/(-9) - (-156)/(-702) a composite number? False Suppose j - 944 = -j. Let f = 1103 - j. Is f prime? True Let b be (3*1)/((-14)/(-84)). Let n be (3 + 2)*b/15. Suppose -r + 31 = q - n*q, q = -r + 31. Is r a composite number? False Let w be (-2)/10 - (-4)/20. Suppose -5*u + 1840 = -w*u. Let f = u - 105. Is f a prime number? True Suppose 5*v - 7314 = -v. Suppose 3*b = b + 3*x + v, 4*b + 2*x - 2462 = 0. Is b a composite number? True Let z be (2/3)/(1/51). Suppose 2*g + 366 - z = -4*t, -2*t + 2 = 0. Let c = 23 - g. Is c a composite number? False Is ((-7166)/16 - (-39)/104)*-2 a prime number? False Suppose 5*v - 57398 = -6*v. Is v a composite number? True Let w(h) = -h**3 + 9*h**2 - 7*h - 10. Let x be w(8). Is -2 - (-2803)/2 - x/(-4) prime? True Let v(k) be the first derivative of k**4/4 - 4*k**3/3 - k**2/2 - 2*k - 1. Let m be v(4). Is (m - -9)*(-7)/(-3) a prime number? True Let m = -119 + 203. Is (m/(-27)*-3)/(4/6) prime? False Let f(k) = -1044*k - 5. Is f(-34) prime? True Suppose g = -5*g + 52818. Is g a prime number? True Let c = -22881 + 44978. Is c composite? True Let x(h) = -29 - 47*h - 8*h - 75*h. Is x(-4) prime? True Suppose 5*q - 4*i - 26255 = 0, 3*i = -23*q + 22*q + 5251. Is q composite? True Let p(x) = 40*x + 16. Let i(z) = 8*z + 3. Suppose 0 = 4*m - 4*o, -4*m + 3*o = -0*o - 2. Let y(s) = m*p(s) - 11*i(s). Is y(-12) a prime number? False Suppose y + 3*v - 9974 = 0, -54*y - 49882 = -59*y - 3*v. Is y prime? False Let g be (1/(-2))/((-1)/8). Suppose -2*x = -g*p - 0*p + 2810, 4*p + x - 2813 = 0. Is p a composite number? True Suppose 12*r - 20*r = -664. Is r/3*(15 - 6) + 4 prime? False Let i = -1338 + 3047. Is i composite? False Suppose 14 = r - 4*g - 249, 5*r - 1345 = 5*g. Let i be (-13)/(-3) - 0 - (-36)/(-27). Suppose 2*l - 3*a - 200 = 0, -i*l = -a - r - 43. Is l composite? True Let f(m) = -63*m**2 + 4*m - 5. Let a(s) = -188*s**2 + 12*s - 15. Let v(w) = 2*a(w) - 7*f(w). Is v(2) a composite number? False Let b(r) = 35*r + 4. Let v(p) = 38*p + 5. Let a(g) = g. Let m(n) = -2*a(n) + v(n). Let t(u) = -6*b(u) + 5*m(u).
{ "pile_set_name": "DM Mathematics" }
2*n**3/3 + n**2. Suppose 30*x + 844 = 26*x. Let h = x - -207. Determine p(h). -8 Let h be (-249)/830 + 38/120. Let u(n) be the third derivative of -h*n**5 + 1/6*n**3 + 1/24*n**6 + 0 + 0*n**4 - 7*n**2 + 0*n. Give u(-1). -5 Suppose -4*u = -3*a - 0*u + 19, 0 = 2*a - 4*u - 14. Let f(i) be the first derivative of 2*i**2 + i + 1. Give f(a). 21 Let z(y) = y - 1. Let i(v) = 1. Let m(s) = -2*i(s) - z(s). Suppose -34 = -3*r - 22. Suppose 3*q + f + 14 = 34, q + 2 = r*f. Determine m(q). -7 Let t(k) = -5*k**2 - 4*k - 3. Let j(w) = -35*w - 37. Let c be j(-1). Determine t(c). -15 Let k(r) = 15*r**2 + 9*r + 11. Let n(p) = -8*p**2 - 5*p - 6. Let w(j) = 6*k(j) + 11*n(j). Calculate w(-3). 21 Let w(i) = 4*i**2 + 3*i - 1. Let k(o) = 21*o**2 + 16*o - 5. Let q(m) = 2*k(m) - 11*w(m). Suppose -9*y + 2*y + 98 = 0. Suppose -14*z - y = -21*z. Give q(z). -9 Let b = 41 + -38. Let w(u) = -4*u**3 + 5*u**2 - 7*u + 3. Let r(x) = -5*x**3 + 5*x**2 - 8*x + 4. Let v(k) = b*r(k) - 4*w(k). Give v(4). 0 Suppose -1 = 5*o + 89. Let z = o - -23. Let h(v) = v - 1. Let g(a) = 5*a - 2. Let r(w) = g(w) - 6*h(w). Give r(z). -1 Let n(j) = 5*j + 8. Let r(h) = 4*h + 7. Let k(a) = -2*n(a) + 3*r(a). Let x(y) = y. Let g(f) = k(f) - x(f). What is g(0)? 5 Suppose 5*z + 21 = g - 12, -2*z + 132 = 4*g. Suppose -7*w - 9 - g = 0. Let o(q) = q**3 + 6*q**2 + 4*q + 8. Give o(w). -16 Let d = 4 - 1. Suppose -d*l = -l + 16. Let g(b) = -4*b**3 + 14*b**2 + 2*b - 13. Let a(r) = r**3 - r**2 + r + 1. Let n(u) = -5*a(u) - g(u). Calculate n(l). 0 Let k be (-2)/4 + -44*6/(-48). Let y(c) = 1 + 3*c + 8 + 0 + c**2 + k*c. Give y(-7). 2 Suppose -16*c + 90 = 10. Let o(g) = -2*g + 3 + 2*g + 2*g. Calculate o(c). 13 Let r be ((-2)/(-4))/((-9)/108). Let t(s) = -s**3 - 5*s**2 - 5*s - 3. Let b(a) = -a**3 - 5*a**2 - 5*a - 3. Let y(z) = r*b(z) + 5*t(z). Determine y(-3). 6 Let z(l) = -5 - 3*l + 2*l + 3*l. Suppose -2*u - 3*u - 4 = -3*f, -u - 2 = -f. Let h be -3 - (4 + f + -5). What is z(h)? -15 Let o = -6 - -8. Suppose -w = -4*q + 11, 4*w - o*q + 0 - 12 = 0. Let c(v) be the second derivative of -v**3/6 + 2*v**2 - 2*v + 8. Determine c(w). -1 Let t(r) = 2*r**3 - r**3 - 12*r**2 - 189*r + 200*r + 2. Give t(11). 2 Let y be -6 + 9 + 3/1. Let h(s) = y*s**2 - 7*s + 2 + s - 7*s**2 + 0. Give h(-6). 2 Let c(p) be the third derivative of -5*p**4/24 + p**3/2 + 16*p**2 + 2. Determine c(2). -7 Let g(j) be the second derivative of 7*j**6/720 + j**4 + 14*j. Let a(r) be the third derivative of g(r). Calculate a(2). 14 Let p(u) = -5*u**2 + 13*u - 3. Let o(j) = 6*j**2 - 14*j + 4. Let v(n) = -6*o(n) - 7*p(n). Suppose 15*w + 124 = 34. Calculate v(w). 3 Let u(o) = -o**2 + 7*o - 1. Let k(r) = r**2 + 10*r + 15. Let h be k(-9). Suppose 0 = -3*s + 4*s - h. Give u(s). 5 Let i(z) be the third derivative of -z**5/60 + 5*z**4/24 - 7*z**3/6 - 4*z**2. Determine i(3). -1 Let i(f) be the third derivative of -1/60*f**5 - 1/8*f**4 + 0 + 0*f - 19*f**2 + 1/3*f**3. Calculate i(-6). -16 Let p(g) = -8*g - 68. Let n be p(-10). Let t(c) = -c**3 + 11*c**2 + 11*c + 6. Give t(n). -6 Let p be (-5 - (-10 - -8)) + 12/3. Let b(q) = q + 4. Determine b(p). 5 Let x(z) be the second derivative of 4*z**3/3 - z**2/2 - 157*z. What is x(5)? 39 Let z = -17 + 5. Let i = -8 - z. Let n(d) = -3*d + 7*d - i - 3*d. What is n(0)? -4 Suppose -19 = -5*f - 4. Suppose -h = -f*h + 4. Suppose h*x = 7*x. Let j(d) = -d**3 - d**2 + d + 1. Give j(x). 1 Suppose 0 = -o + 5*o + 64. Let k be (0 - -5)*(17 + o). Suppose 0 = 4*z - 12, k*z - 4*z = 2*m - 1. Let f(s) = 8*s - 2. Calculate f(m). 14 Let d(o) = -o**2 - 4*o - 2. Suppose -3*q - 2 - 1 = 0. Let g(r) = -1. Let f(i) = q*d(i) + 5*g(i). Calculate f(-5). 2 Let c(r) = -4*r**2 + 7*r**2 - 10*r**2 + 3*r + 3*r**2 + 3*r**2 - 1. What is c(2)? 1 Let d(w) = -w - 1. Let y be (8 - (-78)/(-9)) + (-16)/3. What is d(y)? 5 Let y(s) = s - 49. Let j be y(47). Let q(d) = d**3 + d**2 - 2*d. What is q(j)? 0 Let s(l) = 4*l**3 + 8*l**2 + l - 8. Let h(i) = 3*i - 35. Let o be h(12). Let y(n) = -n**3 - n**2 + 1. Let p(a) = o*s(a) + 3*y(a). Give p(-5). -10 Let y(t) = t**3 - 4*t**2 - 2*t - 2. Let c(u) = 9*u**2 + 5*u. Let j be c(-1). Give y(j). -10 Suppose -4*j = 7*j + 22. Let t be 16/6 + 2/(-3). Let h(a) = -1 + 1 - 3*a**2 - 2*a**3 + 2*a**t. Determine h(j). 12 Let p(d) = -2*d - 1. Suppose -2 = 2*b - 4. Suppose -b = 2*w - s, 2*w - s = 4*w + 3. Determine p(w). 1 Let j be -6 + (-17)/(17/(-6)). Let b(h) = h**3 + h - 5. Calculate b(j). -5 Let u = -57 + 75. Let m be (4/u - 0) + (-1040)/(-180). Let o(x) = -3*x + 2. Calculate o(m). -16 Let l(p) = -6*p**2 + 3*p + 25. Let m(o) = o**2 - o - 5. Let u(x) = 2*l(x) + 11*m(x). Determine u(-4). -1 Let h(k) = -2 - k + 4 + 0*k. Let o be -39 + 1 + 1 + -8 + 11. Let l = -36 - o. Give h(l). 4 Let t(m) be the first derivative of -m**3/3 - 3*m**2 + 11. Calculate t(-5). 5 Let m(l) = 3*l**2 - 8*l. Suppose 0 = 2*j - 0*j - 24. Let u(a) = -j*a + 2*a**2 - 6*a**2 + 21*a + 1. Let p(o) = 5*m(o) + 4*u(o). Calculate p(-5). -1 Let j = 39 + -48. Let l be (4 - (0 - j)) + 2. Let w(b) = b**3 + 2*b**2 - 3*b - 1. Determine w(l). -1 Let y(q) = q + 11. Suppose -9*n + 14*n - 7 = 3*v, -n + 14 = -2*v. What is y(v)? 2 Let j(u) = -u**2 + 14*u - 10. Let m(b) = b**2 + 34*b + 158. Let v be m(-29). Determine j(v). 3 Let l(z) = -z - 2. Let r(x) = -6*x - 41. Let f be r(-27). Let c be 1/2 + f/(-22) + -2. Determine l(c). 5 Let m be (-12)/(-9) - (2912/(-24))/(-13). Let g(r) be the first derivative of -3*r**2/2 - 10*r + 1. Give g(m). 14 Let s(g) = 3*g - 4. Let v be 2/(-6) + 9/((-54)/(-32)). Suppose 12 = v*i + 4*y, -2*i = -3*i - 3*y - 2. Give s(i). 8 Let c be 51/7 - (-24)/(-84). Let v(r) = r - c*r**3 + 0*r**2 + r**2 + 4*r**3 - 3*r**2. Calculate v(1). -4 Let q = 5 + -3. Let f(d) = d**q - 2 + 1 + 2*d + 4*d. Let x = -74 + 68. Calculate f(x). -1 Let t(h) = -h + 6. Let f(k) = -2*k + 10. Let b(d) = 3*f(d) - 5*t(d). Give b(-10). 10 Let t(y) = 31*y**3 - 4*y**2 + 3. Suppose 84*z - 91*z = 28. Let v(d) = -d**2 + 1. Let l(s) = z*v(s) + t(s). What is l(-1)? -32 Suppose 2 - 8 = -2*t. Suppose 6 - 9 = -q. Let u(v) = -3*v**2 - 1 + v**q - 2*v**2 + v + 0 + 2*v. Determine u(t). -10 Suppose 8*r + 8 = -4*n + 4*r, 2*n - 3*r = -14. Let m(b) = b - 3. What is m(n)? -7 Suppose 3*m - 35 = -29. Let y(d) = -d**2 + 2*d - 5. Let p(z) = 3*z**2 - 6*z + 14. Let h(k) = -3*p(k) - 8*y(k). Calculate h(m). -2 Let p(w) = 13*w. Let u(c) = 18*c - 1. Let h(i) = 5*p(i) - 4*u(i). What is h(-2)? 18 Let d(x) = -10*x + 4. Let v(h) = h. Let b(s) = d(s) + 3*v(s). Let u(m) = -48 + 3*m - 43 + 89. Let y(t) = 2*b(t) + 5*u(t). Give y(-3). -5 Let u = -35 - -39. Let i = -10 + 13. Suppose 0 = i*c - u*n + 2*n + 21, -n + 3 = 0. Let b(g) = 2*g - 4. What is b(c)? -14 Let p be (288/(-360))/(0 + (-2)/(-10)). Let g(a) = a**2 + 4*a + 5. Determine g(p). 5 Let m be (-1)/3 - (-98)/42. Let o(k) = -3 - 182*k**m + 181*k**2 + 2. Let i be (-6)/(-4)*(-2)/(-3). What is o(i)? -2 Let h(o) = 11*o**2 + 12*o + 2. Let g(i) = 28*i**2 + 23*i + 3. Let j(y) = 2*g(y) - 5*h(y). Determine j(11). -37 Let m(l) be the second derivative of l**4/24 + l**3/2 + 35*l**2/2 - 27*l. Let v(b) be the first derivative of m(b). What is v(5)? 8 Let t(v) = -v**3 + 2. Let f(b) = -b**2 - 9*b - 11. Let l = -14 - -9. Let r be f(l). Suppose 5*p = z - 15, -p + r = -5*z - 4*p. Calculate t(z). 2 Let g(a) = -2 - 5*a - a**2 + 6 - 2*a. Suppose -18 = -4*h + u - 2*u, -4*u = 2*h - 2. Let m = -1 - h. Give g(m). 10 Let s(n) = -n**2 - 17*n + 6 + 12*n + 2. Let q be -3 - (-1 + 8/4 + 1). Let l(w) = w**3 + 3*w**2 - 9*w - 1. Let a be l(q). Calculate s(a). 2 Let r(h) = -h**3 - 4*h**2 + 4*h - 3. Let j be r(-5). Let z(p) = -4*p - 6 - 11*p**j + 0*p - p**3 + 18*p**2. Determine z(6). 6 Let i(y) = y**3 + 9*y**2 + 20*y + 14. Let m be i(-6). Let u(q) be the first derivative of -4/3*q**3 + 1/4*q**4 + q**m + q - 2. What is u(3)? -2 Let f(l) be the second derivative of -l**6/120 - l**5/60 - l**4/24 + l**3/6 + 9*l**2/2 + 7*l. Let t(g) be the first derivative of f(g). Determine t(-2). 7 Let h(j) be the first derivative of j**4/4 + 4*j**3/3 + 3*j**2 + 9*j - 620. Give h(-4). -15 Let k(d) be the first derivative of d**5/20 - d**3/6 + 33*d**2/2 + 19. Let h(w) be the second derivative of k(w). Calculate h(1). 2 Let z(h) = -h**2 + 12*h - 12. Let o(u) = -6*u**2 + 24*u - 16. Let v be o(2). What is z(v)? 20 Let s(w) = w**3 + 3*w**2 - 5*w + 5. Sup
{ "pile_set_name": "DM Mathematics" }
alse Let f = 7.18535 + -0.18535. Is f less than or equal to -22/123? False Let s = -1.9786 - 318.0214. Which is smaller: 1 or s? s Suppose 0 = 33*y - 1175 - 1498. Suppose -13*d - 29 = -y. Is d greater than 40? False Let q = 10 - 1. Suppose -q = -3*y - 12. Let j be -2 - (y - (0 - -2)). Is 1/53 at most j? True Let l = -8 + 11. Let t = -4 + l. Let p be (12/(-5))/3 - 26/((-650)/(-155)). Which is smaller: p or t? p Let x = -1407/16 + 88. Let l be 2*(4 + -6) + 5. Let b be (2 + -1 - 1)*(2 - l). Which is smaller: x or b? b Let b = 44039 + -44039.27. Is 8/111 at least as big as b? True Let t = 0.778 + 0.292. Let c = t + -0.07. Is -1/95 less than c? True Suppose 0 = -4*z - 3*u + 9, 15 = z - 2*u + 7*u. Let o be (-66)/(-6) - (1 - z). Let a be o/66 + 1/(-3). Which is greater: a or -3? a Let a be ((-2)/(-2))/(12/(-168)). Let g(k) = -3*k + 47. Suppose z - 2*l = 30, 4*z - 3*z - 25 = l. Let o be g(z). Which is bigger: o or a? o Let v = -21876.4 - -21876. Which is smaller: v or 3688/7? v Let d = -33.39 + 6.29. Let b = -27 - d. Suppose -3*c = n - 64, -3*n + 104 = 3*c - 58. Is b at least n? False Suppose 0 = 9*a + 11425 + 4235. Let v be a/72*((-16)/650)/2. Let j = 3/13 - v. Which is bigger: j or 0? 0 Suppose -16*r = -50*r + 102. Suppose -7*j = -3*i - r*j, 3*j = 5*i. Is 2/519 at most as big as i? False Let m be -50 + (39/(-37) - -10*11/2035). Let o be 1 + 0 + 2 + 1. Which is smaller: o or m? m Let c be 1 + -2 + 0 - -5. Let g be (-6)/(((-8)/(-5))/c). Suppose 3*z - 75 = 4*t, t + 2*z = 32 - 37. Is t >= g? True Let y(z) = -219*z + 1969. Let w be y(9). Let d = -10 + 17. Do d and w have the same value? False Let w = 30 - 25. Suppose w*d + 2*g + 7 + 33 = 0, -3*g + 24 = -3*d. Let k = -9 - d. Which is greater: 2/113 or k? 2/113 Let w = -28.14 - -27.14. Which is greater: 605 or w? 605 Let w be -446 + (112/(-40))/(-7). Is -445 at most as big as w? False Let o(l) = 15*l**2 + 6*l + 6. Let m be o(-5). Let u = -90742 - -90742. Which is smaller: u or m? u Let l(j) = -5*j**3 + 70*j**2 + j - 12. Let c be l(14). Suppose 0*k + c*k + 1 = a, 2*k + 2*a = 2. Is k >= -2/907? True Let n = 197 - 451. Let y = n + 254. Is 1/347 at least as big as y? True Let h(c) = -c**3 - 46*c**2 + 145*c - 113. Let l be h(-49). Which is smaller: 3.9 or l? l Let n = 21 + -16. Suppose 5*y - 118 = -4*h, 5*h = n + 5. Suppose -3*p + 7 = y. Is p > -5? False Let s(l) = l**2 + 2*l - 83. Let t be s(-10). Let d be (756/(-154))/(t/3). Are d and 6 nonequal? True Let x be 2275/(-175) + 164/(-2) + -3. Let k = -217 - -118. Which is smaller: x or k? k Let p = -2/409 - -469/12270. Let x be 3*8/12*4. Suppose -5*i + 4*v + 8 = 2*v, 0 = 3*i + 2*v + x. Is i greater than or equal to p? False Let n = 24/1997 + -39709/479280. Is n greater than or equal to 1? False Let a(y) = -4*y - 66. Let d be a(-24). Let i = d + -34. Is i greater than -0.6? False Let d = 930 - 930. Is -1313/4 less than d? True Let k = 34523.2 + -34523.5. Let g = 0.29 - 13.29. Let m = 7 + g. Which is smaller: m or k? m Let n = 992 + -681. Suppose -207 = 8*a - n. Suppose c + 3*r = -2*r + 4, 4*c = -3*r + 50. Which is greater: a or c? c Let w be (-31)/(-8)*562 - (-4)/16. Let t be ((-6)/(-8) + -1)*72/w. Suppose 0*j - 2 = 2*j. Which is smaller: t or j? j Let r(c) = -63*c - 438. Let p be r(-7). Which is smaller: -275 or p? -275 Let g = -10 - -9.9. Let l = 7319 + -7315.039. Let m = l + 0.039. Is g at least m? False Let n be 1*2 + (-622)/308. Let m(f) = -2*f**2 + 296*f + 599. Let x be m(-2). Is x at least as big as n? False Let l be (-246)/(-21) - (-2)/7. Let x be (8/(-32) + 4)/((-34)/(-108)). Let y = x + -7/17. Which is smaller: l or y? y Suppose 2*m = 4*o + 11674, -4*o - 5823 = 69*m - 70*m. Is m less than or equal to 5850? False Let z = -49495/13 + 3810. Let g be (66/(-24))/(-11) - (-30)/8. Is z bigger than g? False Let p be (-142 + 123)*(-2 + 3). Which is smaller: -788/45 or p? p Let n = -503670 + 503748. Suppose 0 = 2*c + u - 149, -2*u + 222 = -2*c + 5*c. Which is smaller: n or c? c Suppose 0 = 5*l - 3*n - 25, 12*n + 27 = l + 7*n. Suppose -l*v - 67 = -3*v - 2*c, 39 = v - 5*c. Is 59 at least v? True Let f(s) = 17*s + 35. Let u be f(-1). Suppose 11*t + u = 2*t. Which is bigger: -13/24 or t? -13/24 Suppose 0 = f + 2, 4*t - 12 = 3*f + 6. Suppose -t*k = -k - 7*k. Which is smaller: k or -2/23? -2/23 Let j(d) = -2*d**3 + 20*d**2 - 20*d - 87. Let u be j(16). Is -3478 greater than or equal to u? True Let d = 0.6978 + -137.6978. Which is greater: 0.27 or d? 0.27 Suppose -z + 4*q - 503 = 0, 1509 = -3*z + 6*q - 7*q. Are z and -498 nonequal? True Suppose 0 = -2*y + 3*y - 3, z - 24 = -5*y. Let c be (6/z)/(((-920)/36)/5). Which is smaller: c or 1? c Let z = 0.05169 - -1718.94831. Which is smaller: z or -0.1? -0.1 Let r be 684/10 - -3*(-4)/(-4). Let j = 71 - r. Let u = -3 - -3.17. Which is smaller: u or j? j Let f be (-4 - -964)/2 + -5. Let x = 476 - f. Which is smaller: -2/1005 or x? -2/1005 Suppose -172 = -7*k + 50*k. Let s = -11 + 25. Let c be ((-9)/(63/k))/(4/s). Which is greater: c or -5? c Let c be 4*(5 + 17/((-2856)/828)). Are 8.93 and c equal? False Let q(k) = -k**2 + 31*k - 186. Let r be q(35). Let x = r - -325. Is x greater than -1/232? False Let u = 90 + -88. Suppose 0 = 2*j - v - 91, 4*j + u*v = -82 + 252. Which is smaller: 45 or j? j Let t = 8647 - 7692. Is t smaller than -2? False Suppose k + 6*f + 213 = 2*f, 5*f = -5*k - 1080. Let o = 5 - 221. Which is greater: k or o? o Let t = -77833033/1241 + 62718. Which is greater: -1 or t? t Let m = 118914 - 118914.1. Let z be 84/15 + -1 - 2. Let j = z - 49/15. Which is greater: j or m? m Let i = 101.36 + -103.01. Is i != -3/16? True Let p be -4 - (-1 - 1036905/(-327)). Let z = 3174 + p. Is z at least -1? True Let n be (0*2/(-6))/(-2). Suppose -40*u - 383 - 2297 = n. Is u at most as big as -64? True Suppose -42*n + 40*n = -10. Suppose 14*o - 9*o = -n. Which is greater: o or -4/25? -4/25 Let i(b) = b**3 + 35*b**2 - b - 33. Let p be i(-35). Let m(x) = 8*x**2 + 2*x - 3. Let f be m(p). Which is greater: 39 or f? 39 Let y = -23 - -32. Let k be (0 - 228/8)*(-6)/y. Suppose 2*j - 9 = 4*h - 21, 0 = h + 5*j + k. Is -2/219 at most as big as h? True Let j = 13990 + -13988.863. Is 1 smaller than j? True Let j be ((-16)/13)/((-48)/(-24)). Suppose -7*y + 6*y - 1 = 0. Which is smaller: y or j? y Suppose 5*n = 10*x - 120, 5*x - 43 = 3*n + 29. Let y(m) = -62*m**2 - m. Let k be y(-1). Let s = k + 38. Do n and s have different values? True Let p = 680 - 716. Suppose 0 = -2*b - v - 75, -2*b + 6*v = 9*v + 81. Is p greater than or equal to b? True Let o = 4622759/149 + -31025. Which is greater: 0 or o? o Let g(r) = 4*r + 25. Let u be g(-6). Let i be 3/u*(-832)/48. Let y be i/(-6) + 2/1. Is 11 greater than or equal to y? True Suppose 36*d - 15254 = 65*d. Do -528 and d have the same value? False Let j = -8154 + 11736. Is j less than 3583? True Suppose 2 = -5*u - 63. Let j = u - 3. Let c be 16/5 + -3 - j/(-5). Which is smaller: -11/7 or c? c Suppose -52*s + 1459 - 55 = 0. Let w(n) = -n**2 - 9*n + 7. Let m be w(-7). Is m less than or equal to s? True Let x be 0 + 12/10 + 118286/(-90880). Let o = x + -5515/1152. Which is smaller: 0.4 or o? o Let i = -1 - -6. Suppose 4*v - 5 = 2*v - 3*y, 26 = i*v + 3*y. Let d be (-82)/v - 8/28. Is -12 >= d? True Suppose -8*o - 43 = 5*w - 7*o, 1 = w + 5*o. Let j be 0 - 6/(-36)*w. Which is greater: 3/5 or j? 3/5 Suppose 40 = 10*u - 10. Let q be (2/(-4))/(u/(-80)) + 5. Is 14 > q? True Let m = 81.6 + -0.6. Let w = 44.83 + 1.17. Let g = w - m. Is g <= 1? True Let g be (-69)/(-299) - 6354/(-13). Is g at least as big as 491? False Let i be ((8/3)/4)/((-26)/39). Is -7/15 not equal to i? True Let w be (51/34)/((-3)/2) + -22. Let t be (-13)/(-5) - (w/(-5) - 5). Which is smaller: 2 or t? 2 Let d = -58 + 71. Suppose -2*i - 5 = -3*u, -5*u + 4 + d = i. Is i at least -56? True Let w = -125.9 + 114. Let q = -11 - w. Let s be (3/9)/((-15)/(-9) - 0) - 0. Is q smaller than s? False Suppose -3*o = -2*k - 13, -1 + 18 = 4*o - 3*k. Suppose -o*g + 48 = 7*g. Suppose 4*y - 58 = -3*x, g*x - 3*x - y = 10. Which is greater: 6 or x? x Suppose 345 + 336 = 21*z + 30. Which is smaller: z or 334/11? 334/11 Let n = 1277672 + -11510372/9. Let j = -1252 - n. Is 6 equal to j? False Let n(u) = u**2 + 5*u - 1421. Let k be n(-40). Suppose w = -2*l + 5*w + 6, -5
{ "pile_set_name": "DM Mathematics" }
g: 1, a: 2}. What is prob of picking 1 y and 1 l? 16/153 Three letters picked without replacement from uuqeuuquvyuuuuueyuuq. What is prob of picking 2 u and 1 q? 33/190 Three letters picked without replacement from {b: 2, a: 1, l: 1, g: 2}. What is prob of picking 1 b and 2 g? 1/10 Three letters picked without replacement from {i: 4, s: 1, e: 4, g: 2}. Give prob of picking 1 s and 2 g. 1/165 What is prob of picking 1 n and 3 c when four letters picked without replacement from {r: 1, c: 4, n: 2, s: 3, e: 4}? 8/1001 Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {u: 1, v: 7, e: 3, b: 1, l: 1}. 7/26 Three letters picked without replacement from ooyebeeuoye. Give prob of picking 1 y, 1 e, and 1 b. 8/165 Two letters picked without replacement from qllbqllnlnbln. What is prob of picking 2 l? 5/26 Calculate prob of picking 1 i, 1 f, and 2 u when four letters picked without replacement from {f: 2, u: 5, i: 8}. 32/273 What is prob of picking 1 r and 2 e when three letters picked without replacement from {r: 1, q: 8, g: 1, y: 2, j: 1, e: 2}? 1/455 What is prob of picking 2 c when two letters picked without replacement from {c: 2, g: 4}? 1/15 What is prob of picking 1 p and 2 o when three letters picked without replacement from {u: 1, o: 3, n: 2, c: 1, p: 3, a: 1}? 3/55 What is prob of picking 1 c, 1 u, and 1 k when three letters picked without replacement from ujcuukujcuvjcj? 15/364 Two letters picked without replacement from cjppcpppcpcjp. What is prob of picking 2 p? 7/26 What is prob of picking 1 m and 2 d when three letters picked without replacement from {d: 6, m: 1, r: 4}? 1/11 What is prob of picking 2 e when two letters picked without replacement from eedryyjjiyid? 1/66 Calculate prob of picking 1 z and 3 k when four letters picked without replacement from essmkmskkszz. 2/495 Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jjjjjjxxjjxjjjjj. 13/40 Two letters picked without replacement from azzarabrbbrraraarbz. Give prob of picking 1 z and 1 a. 2/19 What is prob of picking 3 u when three letters picked without replacement from zzzzzzzzuzuzuz? 1/364 Three letters picked without replacement from xxvvvvvxvxvvvvxmvvm. Give prob of picking 3 v. 220/969 Calculate prob of picking 2 f and 1 w when three letters picked without replacement from {v: 4, y: 2, w: 1, f: 2, k: 1, n: 5}. 1/455 Two letters picked without replacement from {a: 2, u: 1, p: 4, f: 4, i: 4, c: 4}. What is prob of picking 2 p? 2/57 What is prob of picking 2 k and 1 n when three letters picked without replacement from {k: 5, n: 5, c: 7, d: 1}? 25/408 Calculate prob of picking 4 l when four letters picked without replacement from llllololol. 1/6 Three letters picked without replacement from raaaraaaaa. Give prob of picking 3 a. 7/15 What is prob of picking 3 q when three letters picked without replacement from {q: 7}? 1 Three letters picked without replacement from {m: 1, x: 12}. Give prob of picking 3 m. 0 Four letters picked without replacement from ioololoododooooooqoo. Give prob of picking 1 q, 2 o, and 1 l. 182/4845 Three letters picked without replacement from rmmomrrrmorr. Give prob of picking 3 r. 1/11 Calculate prob of picking 2 n when two letters picked without replacement from {k: 4, o: 2, n: 5, c: 2}. 5/39 Three letters picked without replacement from {s: 8, j: 4, h: 8}. What is prob of picking 3 h? 14/285 What is prob of picking 1 q, 1 x, and 2 m when four letters picked without replacement from xxmxqmmxmmx? 5/33 What is prob of picking 3 b when three letters picked without replacement from {b: 7, a: 3}? 7/24 Three letters picked without replacement from sajvivf. Give prob of picking 1 j, 1 i, and 1 a. 1/35 Three letters picked without replacement from meem. What is prob of picking 2 m and 1 e? 1/2 What is prob of picking 1 g and 2 r when three letters picked without replacement from {v: 3, r: 2, g: 4}? 1/21 Calculate prob of picking 3 m when three letters picked without replacement from omomoomomoimomimomm. 28/323 Two letters picked without replacement from jjbjjjbjzjybjjby. What is prob of picking 2 y? 1/120 What is prob of picking 1 r, 1 u, 1 o, and 1 c when four letters picked without replacement from rczou? 1/5 Calculate prob of picking 1 n and 2 f when three letters picked without replacement from otntjjnfnfnoonnynj. 7/816 What is prob of picking 1 a, 2 k, and 1 r when four letters picked without replacement from rrkkkkaar? 2/7 What is prob of picking 2 l and 1 o when three letters picked without replacement from yzklwkklylozkw? 3/364 Two letters picked without replacement from bvbvvjvb. What is prob of picking 2 v? 3/14 Four letters picked without replacement from {z: 3, p: 1, b: 1}. What is prob of picking 1 p and 3 z? 1/5 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from nkwnkwkxxkkkwkkkkakk. 3/95 What is prob of picking 2 s and 1 f when three letters picked without replacement from {s: 3, f: 2}? 3/5 What is prob of picking 1 e, 1 y, 1 b, and 1 u when four letters picked without replacement from oyoboeuebyobbbbyboe? 21/1292 What is prob of picking 3 a when three letters picked without replacement from {a: 5, j: 2, b: 2}? 5/42 Two letters picked without replacement from hhrfbefrhrr. What is prob of picking 1 b and 1 e? 1/55 Two letters picked without replacement from {y: 1, u: 1, d: 7, r: 9}. What is prob of picking 1 d and 1 u? 7/153 What is prob of picking 2 k when two letters picked without replacement from kskv? 1/6 Two letters picked without replacement from wwqgwqw. What is prob of picking 2 q? 1/21 Two letters picked without replacement from {x: 9, k: 7}. Give prob of picking 2 x. 3/10 What is prob of picking 3 a when three letters picked without replacement from {a: 5, g: 9}? 5/182 Calculate prob of picking 2 q and 1 b when three letters picked without replacement from qblxbzxqquqb. 9/110 Two letters picked without replacement from jxpjjpxjdjpxpdj. What is prob of picking 2 x? 1/35 Four letters picked without replacement from fvnvvxnhvvvffh. Give prob of picking 2 h and 2 f. 3/1001 Three letters picked without replacement from {d: 1, y: 1, v: 1, b: 1, j: 9, x: 2}. What is prob of picking 1 y and 2 j? 36/455 What is prob of picking 2 v and 1 s when three letters picked without replacement from bsvvls? 1/10 Two letters picked without replacement from fwfowooowwwweewoofwo. What is prob of picking 1 o and 1 f? 21/190 Two letters picked without replacement from reuuqqquei. Give prob of picking 1 u and 1 r. 1/15 Three letters picked without replacement from {y: 3, m: 6, c: 6}. What is prob of picking 3 y? 1/455 What is prob of picking 1 t, 1 m, and 1 k when three letters picked without replacement from {k: 5, m: 1, c: 1, t: 2}? 5/42 Calculate prob of picking 1 p and 1 c when two letters picked without replacement from hhhhycschcphpphshhpc. 8/95 What is prob of picking 2 d when two letters picked without replacement from {a: 1, s: 7, x: 3, g: 1, d: 4, l: 2}? 2/51 Calculate prob of picking 1 i and 2 e when three letters picked without replacement from izisiiefe. 1/21 Three letters picked without replacement from ycyccccccy. Give prob of picking 3 c. 7/24 Calculate prob of picking 2 q and 2 m when four letters picked without replacement from {m: 6, g: 11, q: 2}. 5/1292 Calculate prob of picking 1 o, 1 c, and 1 b when three letters picked without replacement from cbbococco. 2/7 Two letters picked without replacement from {d: 6, o: 13}. Give prob of picking 2 o. 26/57 Calculate prob of picking 1 a and 1 l when two letters picked without replacement from {a: 2, l: 4, b: 3, k: 1}. 8/45 Three letters picked without replacement from {o: 2, v: 1, i: 1, t: 3}. What is prob of picking 1 i, 1 v, and 1 t? 3/35 Three letters picked without replacement from eaaaaeaeaaeaaeeaaa. Give prob of picking 2 a and 1 e. 33/68 Calculate prob of picking 3 l and 1 q when four letters picked without replacement from {f: 2, q: 1, r: 1, l: 3}. 1/35 Three letters picked without replacement from ktsscckksskkttsskt. Give prob of picking 1 k and 2 c. 1/136 Four letters picked without replacement from yxxyxhaxxxxxxx. Give prob of picking 2 y and 2 x. 45/1001 Three letters picked wit
{ "pile_set_name": "DM Mathematics" }
67700 a multiple of 348? False Does 21 divide 33327? True Does 95 divide 502398? False Does 5 divide 9133? False Is 923765 a multiple of 524? False Does 28 divide 415604? True Is 9 a factor of 8969? False Does 113 divide 1802518? False Does 208 divide 502387? False Is 1358 a factor of 3942274? True Is 15653 a multiple of 19? False Does 4 divide 118600? True Is 746 a factor of 70870? True Does 257 divide 23780? False Does 36 divide 26024083? False Is 50 a factor of 193850? True Does 290 divide 4635360? True Is 572390 a multiple of 170? True Is 2149513 a multiple of 809? True Is 24 a factor of 3237312? True Is 136 a factor of 15025008? True Does 79 divide 9717? True Does 316 divide 962523? False Is 55 a factor of 429251? False Is 7355200 a multiple of 4? True Is 35 a factor of 2830894? False Does 14 divide 155722? True Is 74 a factor of 1277090? False Is 133959 a multiple of 17? False Is 161 a factor of 2707537? True Is 72285 a multiple of 27? False Does 10 divide 34638? False Is 554 a factor of 2025424? True Does 13 divide 286422? False Is 18 a factor of 96260? False Is 650 a factor of 959822? False Is 765496 a multiple of 824? True Is 463079 a multiple of 276? False Is 15479128 a multiple of 37? False Does 12 divide 303571? False Is 71 a factor of 4771697? True Is 30 a factor of 256110? True Does 42 divide 1719102? True Is 12 a factor of 14182? False Is 21 a factor of 11923868? False Does 118 divide 4206394? False Does 351 divide 6019858? False Is 468181 a multiple of 118? False Does 14 divide 15160? False Is 213434 a multiple of 108? False Is 256658 a multiple of 25? False Is 313276 a multiple of 17? True Is 47 a factor of 924446? False Does 2 divide 388193? False Is 8898833 a multiple of 253? False Is 91 a factor of 1042? False Does 208 divide 8498256? True Is 106 a factor of 44723? False Is 24795 a multiple of 95? True Is 137 a factor of 118136? False Is 23 a factor of 912893? True Is 17 a factor of 373083? False Does 8 divide 154868? False Is 15 a factor of 1001616? False Does 1962 divide 4428957? False Does 29 divide 139432? True Does 4 divide 1017188? True Does 126 divide 595482? False Is 868065 a multiple of 33? True Is 2050736 a multiple of 16? True Is 37 a factor of 108669? True Does 309 divide 107841? True Is 19299714 a multiple of 966? True Is 15080 a multiple of 580? True Is 950592 a multiple of 178? False Is 75776 a multiple of 35? False Is 442797 a multiple of 103? True Is 531067 a multiple of 2? False Does 76 divide 132763? False Is 186 a factor of 12246449? False Is 236 a factor of 5723746? False Is 31 a factor of 2279577? False Is 18446092 a multiple of 161? True Is 40 a factor of 588520? True Does 1220 divide 17470341? False Is 13381558 a multiple of 28? False Does 111 divide 50840? False Is 4688565 a multiple of 21? True Does 156 divide 65520? True Is 307642 a multiple of 797? True Is 6488136 a multiple of 36? True Is 6976452 a multiple of 187? False Does 4 divide 52972? True Does 54 divide 782514? True Is 43095 a multiple of 17? True Is 311 a factor of 380543? False Is 19 a factor of 51167? True Is 597567 a multiple of 107? False Does 278 divide 7428209? False Does 10 divide 225760? True Does 278 divide 164576? True Is 105586 a multiple of 2? True Does 24 divide 116448? True Is 541822 a multiple of 160? False Is 601 a factor of 1486751? False Is 112 a factor of 3875806? False Is 190 a factor of 690608? False Is 104301 a multiple of 622? False Is 482581 a multiple of 39? False Is 88049 a multiple of 279? False Is 4672746 a multiple of 30? False Is 79837 a multiple of 132? False Is 33 a factor of 1807072? False Does 183 divide 1768542? False Is 13424 a multiple of 16? True Is 22 a factor of 216942? True Is 119 a factor of 3123631? True Is 112428 a multiple of 108? True Does 21 divide 293517? True Is 2089 a factor of 11522650? False Is 391509 a multiple of 13? False Is 15 a factor of 21767? False Is 1237084 a multiple of 4? True Does 271 divide 108942? True Is 6944597 a multiple of 168? False Does 20 divide 559924? False Is 3816369 a multiple of 27? True Does 21 divide 980196? True Is 565248 a multiple of 736? True Is 1324 a factor of 598326? False Is 933 a factor of 4763224? False Is 453786 a multiple of 18? False Is 631877 a multiple of 13? False Does 36 divide 461989? False Is 186064 a multiple of 213? False Does 9 divide 175198? False Does 6 divide 7932? True Is 19 a factor of 4014171? False Is 3635058 a multiple of 7? True Does 55 divide 11330? True Is 58 a factor of 299338? True Does 19 divide 8569175? False Is 77 a factor of 921211? False Is 465752 a multiple of 17? False Does 88 divide 562890? False Does 352 divide 234080? True Does 3 divide 332265? True Is 275 a factor of 86423? False Is 1044420 a multiple of 103? True Is 4249745 a multiple of 85? True Is 3 a factor of 360574? False Does 638 divide 209902? True Does 36 divide 828090? False Is 26 a factor of 179192? True Does 123 divide 6708134? False Does 20 divide 635311? False Does 11 divide 760628? True Is 57519 a multiple of 127? False Does 71 divide 6020516? True Does 2 divide 232232? True Is 48 a factor of 98207? False Is 1183220 a multiple of 268? True Does 20 divide 59040? True Is 46881 a multiple of 7? False Does 42 divide 341112? False Is 36120 a multiple of 22? False Does 6 divide 221454? True Is 10 a factor of 292521? False Is 565525 a multiple of 721? False Is 961462 a multiple of 102? False Does 12 divide 90276? True Does 22 divide 149622? True Is 414 a factor of 1007676? True Is 11589046 a multiple of 262? True Is 1276020 a multiple of 60? True Is 623 a factor of 342027? True Does 22 divide 58684? False Is 15595531 a multiple of 44? False Does 16 divide 75984? True Does 90 divide 91560? False Does 24 divide 15552? True Is 401 a factor of 226565? True Is 484629 a multiple of 3? True Is 1752692 a multiple of 58? False Is 248136 a multiple of 14? True Is 157503 a multiple of 28? False Does 100 divide 4265200? True Is 2 a factor of 2039623? False Does 60 divide 120511? False Is 36 a factor of 88632? True Is 587 a factor of 63396? True Is 536475 a multiple of 933? True Is 104520 a multiple of 268? True Is 64 a factor of 478464? True Is 823640 a multiple of 8? True Does 79 divide 87757? False Is 1067130 a multiple of 10? True Is 19 a factor of 138619? False Is 14 a factor of 329459? False Is 8 a factor of 8190? False Is 1033349 a multiple of 45? False Does 36 divide 95724? True Is 1328 a factor of 9061726? False Is 869 a factor of 10776173? False Is 969650 a multiple of 11? True Does 40 divide 7663720? True Is 39 a factor of 623532? True Is 166110 a multiple of 5? True Is 56 a factor of 212912? True Is 287912 a multiple of 235? False Is 659 a factor of 1416191? True Does 339 divide 1212264? True Is 14362048 a multiple of 643? True Is 146 a factor of 258712? True Is 160331 a multiple of 12? False Does 5 divide 180760? True Does 24 divide 705884? False Is 2 a factor of 186731? False Does 6 divide 2480448? True Does 42 divide 534282? True Is 397312 a multiple of 16? True Is 64 a factor of 7424722? False Does 541 divide 171080? False Does 5 divide 2025852? False Is 20 a factor of 3134244? False Is 1551 a factor of 5834862? True Does 21 divide 1214605? False Is 13 a factor of 19770586? False Is 9774 a multiple of 9? True Is 260655 a multiple of 160? False Is 6 a factor of 483072? True Is 265140 a multiple of 36? True Is 125054 a multiple of 31? True Is 33 a factor of 21912? True Does 86 divide 112309? False Does 8 divide 2092360? True Does 513 divide 272880? False Is 118478 a multiple of 4? False Does 3 divide 23740? False Is 56 a factor of 1128900? False Is 1215891 a multiple of 524? False Is 382826 a multiple of 53? False Is 252760 a multiple of 284? True Is 13941980 a multiple of 26? True Does 117 divide 150579? True Does 7 divide 265283? False Does 256 divide 221440? True Is 26560 a multiple of 40? True Is 17534095 a multiple of 413? False Is 330 a factor of 2933263? False Is 34 a factor of 210273? False Is 588 a factor of 3897852? True Is 38 a factor of 582748? False Is 221 a factor of 301391? False Is 16 a factor of 717861? False Is 20477580 a multiple of 384? False Does 262 divide 1377334? True Is 77 a factor of 623128? False Does 14 divide 14876? Fals
{ "pile_set_name": "DM Mathematics" }
21 Solve -40*p = -70*p + 37*p + 28 for p. -4 Solve 99*l - 199*l - 108*l + 624 = 0 for l. 3 Solve 201*i + 391*i = 7104 for i. 12 Solve -115 + 16 = 9*v for v. -11 Solve -242*x + 511*x = -76*x - 5520 for x. -16 Solve 4*p + 42 = 9*p + 16*p for p. 2 Solve 123*j + 128 = -1717 for j. -15 Solve -427 = 56*y + 234 - 157 for y. -9 Solve 7*c + 2929 = 2964 for c. 5 Solve 101*s + 75 = 378 for s. 3 Solve 0 = -1657*t - 1710 - 38058 for t. -24 Solve -191*m + 784 = -93*m for m. 8 Solve -460*p = -1785 + 18805 for p. -37 Solve 1438*h + 1269 = 1579*h for h. 9 Solve 19*g + 136 + 10 + 82 = 0 for g. -12 Solve 439 + 186 + 185 = -162*h for h. -5 Solve 0 = 532*o - 9665 - 5231 for o. 28 Solve 0 = 54*r + 3168 - 2142 for r. -19 Solve -94*c - 3072 = 199*c + 91*c for c. -8 Solve 90 + 2 = -8*r - 15*r for r. -4 Solve -42*q - 37 = 40 - 35 for q. -1 Solve 0 = 345*o + 26*o + 1484 for o. -4 Solve 127*n = 372*n - 1960 for n. 8 Solve -40 - 80 = -50*m + 280 for m. 8 Solve -6*k = -41 + 29 for k. 2 Solve 5*h + 7*h = 97*h for h. 0 Solve 102*n - 228*n + 351 = -99*n for n. 13 Solve 41*g + 8*g - 750 = -26*g for g. 10 Solve 458*b = 130 + 8114 for b. 18 Solve -76*t = 58*t + 73*t - 24*t for t. 0 Solve -120 - 67 = 407*u - 424*u for u. 11 Solve 13 = 13*d - 29*d + 77 for d. 4 Solve -23*g - 2305 = -2650 for g. 15 Solve 85*d - 96 = 15 + 144 for d. 3 Solve 10 + 17 = 791*t - 764*t for t. 1 Solve 5*n + 26*n = 62 for n. 2 Solve 131 = -6*j + 54 + 35 for j. -7 Solve -213 + 429 = 18*g for g. 12 Solve 1692*y + 1803 + 8349 = 0 for y. -6 Solve -1576*h - 96 = -1564*h for h. -8 Solve 743*z - 727 = 132*z + 5383 for z. 10 Solve 0 = 61*c - 86*c - 325 for c. -13 Solve 18*k - 59 + 155 + 66 = 0 for k. -9 Solve 0 = 81*f - 47 + 371 for f. -4 Solve 16*d + 23 + 55 = -178 for d. -16 Solve 0 = -24*g + 1503 - 2986 + 1699 for g. 9 Solve 0 = -36*d + 2342 - 2054 for d. 8 Solve 85*a + 126 = 99*a for a. 9 Solve 158 + 49 = -22*n - 13 for n. -10 Solve -59*x - 154 = 15*x + 1178 for x. -18 Solve 22 + 35 + 15 = 18*r for r. 4 Solve 261 = -77*o - 215 - 217 for o. -9 Solve 239*d = 2239 - 1719 + 4499 for d. 21 Solve 0 = -25*d + 169 + 181 for d. 14 Solve -66*i - 25623 = -25755 for i. 2 Solve 24*d - 29 - 91 = 48 for d. 7 Solve 0 = -6*z - 24*z - 24*z + 594 for z. 11 Solve 29*b = 80*b - 97 - 56 for b. 3 Solve 242*h + 825 + 3773 = 0 for h. -19 Solve -304 = -467*f + 98*f + 434 for f. 2 Solve 194 - 1004 = -135*c for c. 6 Solve v - v - 77 = -7*v for v. 11 Solve 105*m - 32*m + 52*m + 250 = 0 for m. -2 Solve 0 = 270*r - 881*r - 12844 - 598 for r. -22 Solve 15*l + 14*l - 315 = 4 for l. 11 Solve 8*k - 10 - 12 + 6 = 0 for k. 2 Solve 0 = 12*c + 9*c + 199 + 53 for c. -12 Solve 24*n - 168 = 67*n - 22*n for n. -8 Solve 0 = -16*m - 2187 + 876 + 943 for m. -23 Solve -56*j - 18068 = -17900 for j. -3 Solve 5*f - 967 = 1034 - 2041 for f. -8 Solve -50 - 112 = -13*p - 14*p for p. 6 Solve -1566 = 5*g + 10*g - 1431 for g. -9 Solve -137*z + 888 = 11*z for z. 6 Solve 99*f - 108*f - 315*f + 10692 = 0 for f. 33 Solve -12*y = -17*y + 18*y - 91 for y. 7 Solve -258*f = -634 + 2552 + 404 for f. -9 Solve -41*y + 503 - 221 = -333 for y. 15 Solve 121*y - 3985 = -1323 for y. 22 Solve 10*m = -23*m + 495 for m. 15 Solve -4*c - 15059 = -15159 for c. 25 Solve -14*d - 40 = 162 + 36 for d. -17 Solve 0 = 24*g - 111*g - 348 for g. -4 Solve 3*d + 15*d + 6*d = 24 for d. 1 Solve 162 = -5*k + 23*k + 9*k for k. 6 Solve -60*x - 25*x = 935 for x. -11 Solve -49*f + 2272 + 542 = -250*f for f. -14 Solve 108*x = 1234 - 269 + 763 for x. 16 Solve 13*z + 44*z = 11*z for z. 0 Solve 0 = 119*n + 13 + 582 for n. -5 Solve 0 = 58*u + 42*u + 8*u for u. 0 Solve -30 = k - 18 for k. -12 Solve -7*p - 4131 = -3998 for p. -19 Solve 40*h + 332 = -427 + 559 for h. -5 Solve 75*i - 513 + 2538 = 0 for i. -27 Solve 37*f + 131 = -111 + 57 for f. -5 Solve -281*p + 190 + 2541 = -1484 for p. 15 Solve 998 = 29*x + 128 for x. 30 Solve -15*d = 39*d - 39*d + 165 for d. -11 Solve -602 + 622 = -2*h - 3*h for h. -4 Solve 1691 - 14169 = 734*z for z. -17 Solve 0 = -1730*y + 1739*y + 189 for y. -21 Solve -79*p - 190 - 119 = 402 for p. -9 Solve -19*r + 315 + 55 = 18*r for r. 10 Solve -175 = -13*t + 25*t - 31 for t. -12 Solve 183*q = 369*q - 183*q + 36 for q. -12 Solve 362*d + 2700 = 62*d for d. -9 Solve -36*r + 1964 = 10*r + 584 for r. 30 Solve -692*v = 53*v + 9066 + 1364 for v. -14 Solve -25*w - 1229 = -1754 for w. 21 Solve 1652*g - 11310 = 15122 for g. 16 Solve -2093 = 82*x - 1191 for x. -11 Solve -740*g = -711*g for g. 0 Solve 18*q - 508 = 145*q for q. -4 Solve 16*y = -9*y - 5*y - 120 for y. -4 Solve 1692*i + 24 = 1694*i for i. 12 Solve -329*p = 285*p + 19648 for p. -32 Solve 0 = -26*p - 5169 + 5403 for p. 9 Solve 0 = -24*b + 150 - 236 + 830 for b. 31 Solve 0 = 116*u + 13*u - 1631 - 304 for u. 15 Solve -65*g + 30 + 230 = 0 for g. 4 Solve -26*m + 76 = -184 for m. 10 Solve 291*q + 300 = 141*q for q. -2 Solve 260*c - 231*c = 493 for c. 17 Solve 721*z - 360*z - 369*z = -40 for z. 5 Solve -6*o + 324 = 75*o for o. 4 Solve 84*z - 53*z - 36 = 40*z for z. -4 Solve -13*k - 21*k - 263 - 111 = 0 for k. -11 Solve -366*h - 168*h - 11748 = 0 for h. -22 Solve 4695 = -49*d + 4107 for d. -12 Solve 6957 - 7497 = 30*m for m. -18 Solve 1646*d - 1633*d - 97 = 124 for d. 17 Solve -65*r - 164*r - 157 = 988 for r. -5 Solve -14*z + 140 = 238 + 266 for z. -26 Solve -638 = -343*b - 7155 for b. -19 Solve -64*a + 75 = -129*a - 10*a for a. -1 Solve 0 = 38*f - 224*f + 2418 for f. 13 Solve 0 = 1132*u - 852*u - 4200 for u. 15 Solve -42 - 291 = -108*n - 2169 for n. -17 Solve -12064*m = -12043*m - 189 for m. 9 Solve 975 = 167*j - 278*j - 24 for j. -9 Solve 125*o - 288*o + 144*o = -38 for o. 2 Solve 7*o + 36*o + 249 + 525 = 0 for o. -18 Solve -141 + 648 = -39*q for q. -13 Solve -165 - 438 + 39 = -94*p for p. 6 Solve 8*q + 120*q + 640 = 0 for q. -5 Solve -256*p + 172*p - 252 = 0 for p. -3 Solve -6*m + 2*m = 32*m + 360 for m. -10 Solve -1044 = 37*z - 38*z + 117*z for z. -9 Solve -31193 = -6*u - 31289 for u. -16 Solve -2756 - 134 - 50 = 210*q for q. -14 Solve 48*c - 18*c - 271 = 239 for c. 17 Solve -258820 = -38*t - 258554 for t. 7 Solve -121*k - 31*k + 1431 = 7*k for k. 9 Solve 16*t + 64 + 114 = -46 for t. -14 Solve -389*z + 5440 = 357*z + 28566 for z. -31 Solve 53*n - 583 = -7*n + 7*n for n. 11 Solve -292*l - 773*l = 24495 for l. -23 Solve 89*o + 123*o = -627*o - 15102 for o. -18 Solve 32*l + 682 = 1098 for l. 13 Solve 67*c - 164494 = -164561 for c. -1 Solve 24 = -5*w + 70 + 39 for w. 17 Solve -9*w - 2429 + 2422 = -2*w for w. -1 Solve 1352 = -116*y + 2164 for y. 7 Solve -25 + 24 = 5*r - 81 for r. 16 Solve -152136*i + 180 = -152145*i for i. -20 Solve -17767 = -60*r - 15967 for r. 30 Solve -90*q - 283 - 199 = 418 for q. -10 Solve -349*m - 653 + 3055 = -1088 for m. 10 Solve -70*i + 8 = -6*i + 8 for i. 0 Solve -1013*j = -959*j + 1566 for j. -29 Solve -6025*z = -6266*z - 4338 for z. -18 Solve 727 = -8*j + 783 for j. 7 Solve 370 = 65*h + 92 - 112 for h. 6 Solve -711*g + 40090 = -955*g - 811*g for g. -38 Solve -39*q + 1664 = 72*q + 97*q for q. 8 Solve 1687*w - 72 = 1693*w for w. -12 Solve 0 = -26*z - 729 + 651 for z. -3 Solve -10*q - 4915 + 4755 = 0 for q. -16 Solve 7*z - 763 = -3*z - 663 for z. 10 Solve -320 - 1179 - 1515 = 137*w for w. -22 Solve 471 - 571 = -25*v for v. 4 Solve -225 = -12*j - 450 + 345 for j. 10 Solve 21395*r - 21373*r + 550 = 0 for r. -25 Solve -146*t + 354 - 93 + 177 = 0 for t. 3 Solve 30*l + 63 = 393 for l. 11 Solve 7*q - 22*q = -1012 + 787 for q. 15 Solve -4227*s + 4186*s + 246 = 0 for s. 6 Solve -86*i - 775 = -3441 for i. 31 Solve -87514 = 1679*z - 32107 for z. -33 Solve 0 = -103*s + 48*s + 282 + 818 for s. 20 Solve -286*y + 10800 = -510*y - 451*y for y. -16 Solve 19*k - 33*k + 52*k = -47*k for k. 0 Solve -17*s + 21 + 30 = -34 for s. 5 Solve -49 = 14*u - 21 for u. -2 Solve 0 = 4*u - 17 + 2 - 1 for u. 4 Solve 17*l + 38 - 111 = -56 for l. 1 Solve 283 - 60 = 214*m - 205 for m. 2 Solve -222*y = 5*y - 94*y + 2261 for y. -17 Solve -70*t - 3392 = -2482 for t. -13 Solve -162*l + 694 = 208 for l. 3 Solve 0 = 3183*b - 3173*b + 90 for b. -9 Solve 743 - 79 = 94*w - 1686 for w. 25 Solve 2220 = -11*w + 2242 for w. 2 Solve 63*c + 237 = -214 - 116 for c. -9 Solve -254*u + 36594 = 1022*u + 757*u for u. 18 Solve 3*v + 2352 = 64*v + 37*v for v. 24 Solve -154*
{ "pile_set_name": "DM Mathematics" }
. Let u = -1915 - -350444/183. Is y <= u? False Let n be (12114509/(-55))/(804/(-25)) + 2. Let j = n - 6851. Is j greater than 0? False Let y(j) = -j**2 - 6*j + 44. Let d be y(-10). Suppose d*g = -20, -3*g - 53 = 4*r + 6. Which is smaller: -12 or r? -12 Let a = 306 - 307. Which is smaller: -5/872 or a? a Let a = 18 - 16. Suppose -3*f = 2*f + 4*q - 14, -a = -f - q. Suppose 0 = f*s - 10*s. Which is greater: -6/13 or s? s Let f(x) = x**3 - 6*x**2. Let w be f(6). Let u be 0 + 6/(-183) + w. Let y = 18321 + -18322. Are u and y equal? False Let b be 3 - (7 + -16 + 123). Let l be 3/(-12) + (-3)/((-684)/b). Let g(a) = a**2 + 3*a - 4. Let t be g(-4). Do l and t have different values? True Suppose 37*g - 11*g - 19*g - 27244 = 0. Which is bigger: g or 3890? g Suppose 3*g = 2*g - 2*b + 46, 3*g = 5*b + 171. Suppose 5*l + 158 = -5*q + 558, 0 = -5*l - 4*q + 403. Let y = l - g. Which is smaller: 30 or y? 30 Let d(q) = q**3 + 19*q**2 + 16*q + 312. Let o be d(-19). Which is bigger: o or 418/63? o Let g = 25 - -55. Let n = -2.2764 + 0.2764. Which is smaller: g or n? n Let p = 7377 - 7055. Which is smaller: 2 or p? 2 Let u = 22/1907 - -213386/17163. Which is greater: -1.2 or u? u Suppose -14 = -d - 5. Let p be 2/(-44) - (9 - d). Let t = p - 7/88. Is t != 0? True Let n = -1/66 - -3/77. Let o(w) = -w + 11. Let v be o(11). Which is smaller: v or n? v Suppose -2*q - 1 = 3*k, 6*k - 4*k + 2*q = 2. Let i be 6/(-12) + k/9. Is -1 at least i? False Let y = 150.5 - 150.27. Let l be 4/10 + (-2)/30. Which is greater: y or l? l Let l = 0 - 1. Let x = 0.765 + -0.96. Let o = x + -12.805. Which is bigger: l or o? l Let t = 2 - 52. Let g be ((-1275)/t)/(1*(-2)/4). Let q be (16/3)/(34/g). Which is greater: q or -0.6? -0.6 Let u(m) be the first derivative of m**3 - 17*m**2 + 13*m - 16. Let z be u(11). Let q = z - 2/3. Is 1 at most q? True Let h be 92/(-161) + 5456/336 + -15. Let z be (-3)/2*64/12. Let b be (2/z)/(6/45). Is h >= b? True Let c = -151 - -338. Let i = c - 192. Which is greater: -9/2 or i? -9/2 Let a = 0.189 - 0.087. Let t = -0.044 + a. Which is smaller: -0.2 or t? -0.2 Let h = -0.075 - -0.126. Let y = h - 2.351. Let d = y + -5.7. Are -3 and d equal? False Let w = 106 - 100. Let h(u) = 4*u - 17. Let v be h(w). Suppose 153 = -v*y - 134. Which is smaller: -39 or y? y Let s = 4.36 - -0.14. Let d = s - -24.5. Let t = -19/3837 - 2539/3837. Which is greater: t or d? d Let z = 1223 + -434. Suppose 4*b + k = z, b + 24*k = 27*k + 207. Which is smaller: 199 or b? b Let a be (4/(-24)*22 + -3)*-3. Suppose -2*q - 2*q = -a. Let g be (q - (-2 + 1))/(1/3). Which is smaller: g or 17? 17 Suppose 0 = -403*g - 83222 + 2622. Which is bigger: g or 13? 13 Suppose -2*q + 932 = p, 288*p - 291*p + 6 = 0. Is q greater than or equal to 472? False Suppose -5*k + 7 = -18, -4*f - 5*k - 115 = 0. Let d(o) = -o**3 + 6*o**2 - 17*o + 1. Let g be d(5). Let c = g - f. Which is greater: 2/3 or c? 2/3 Let q(b) = 3*b**3 + b**2 - 2*b + 2. Let i be q(1). Suppose -3*c + 56 = 2*h, 9*c - i*c = 0. Let f = -21 + h. Is 8 > f? True Let j = -15/65578268 + 24166968905363/16328988732. Let s = 1480 - j. Which is smaller: s or -1? -1 Suppose y - 4 = -3. Let n be 9 + (-510)/60 + 1/(-308)*157. Which is greater: n or y? y Let d be (-8866)/2015*(-2 - 18/(-10)). Let u = 8 - 6. Which is bigger: d or u? u Suppose 9*h + h = 30. Let o be 4/(-54)*h + 4630/(-225). Which is smaller: o or -21? -21 Let m = -23127 - -22868. Which is bigger: m or -1809/7? -1809/7 Let p = -170 - -170. Let i be 7 - (4 - p) - 2. Is i smaller than 20.4? True Let p be (5 - (0 + 2)) + (-245412)/(-852). Let c = 291 - p. Is c less than or equal to 1? True Let s = 1120695/346 - 3239. Suppose -19*c + 55*c = 23*c. Which is smaller: c or s? c Let n be 3/(-6) + (-5)/(-2). Let y = 2 - n. Let h be (-20)/(-25) + 759/(-805). Is y bigger than h? True Let w(h) = 361*h + 2959. Let b be w(0). Is 2957 >= b? False Let g(i) = -i**3 - 62*i**2 - 301*i + 89. Let c be g(-57). Which is greater: 1002 or c? 1002 Let r(v) = -15*v + 1. Let s be r(0). Let j be 132/(-28) - -7 - (s + -2). Is j at most as big as 3? False Suppose 5*u = -4*h - 112, 0*u + 5*u = 0. Let r be (-333)/(2 + 7) + 8. Is h equal to r? False Let d = -183/7 - -3540/133. Is 0.4 equal to d? False Let d = 29.7 - 29.629. Let g = 0.029 + d. Which is smaller: -72 or g? -72 Let m = 1387 - 2493. Which is bigger: 1 or m? 1 Suppose -1032 = -10*c - 522. Let n be 2/3 + 15368/c. Which is bigger: 300 or n? n Let y(n) = -9*n + 383. Let q be y(42). Let a(x) = x**2 + 9*x - 70. Let g be a(q). Let v = 54/73 + -1236/2263. Which is bigger: v or g? v Let u = -5742.3 + 5453. Let x = 289 + u. Which is smaller: x or 3? x Let v be ((-9)/45)/(392/794). Let p = 1/196 + v. Which is smaller: p or 0? p Let n = 324.087 - 0.087. Let b = -390 + n. Is b < -0.3? True Let w(g) = 2*g + 89. Let b be w(8). Let h = 105 - b. Is h > 0? False Let b(z) = -z**2 - 33 - 10*z + 34 - 8*z. Let c be b(-18). Let d be (c + 0)/((-5)/80). Is -16 bigger than d? False Suppose -464 = 78*d - 79*d + 3*p, 0 = d - 5*p - 480. Which is greater: 448 or d? 448 Let z = -2.751 - -2.4. Let t = 0.049 - z. Is t smaller than 1/2? True Let p = -6052/8321 - -2513529783/407729. Let g = p + -6248. Let m = g - -84. Which is smaller: 0 or m? m Let o = -7915264/69 + 114717. Which is greater: 3 or o? o Let i be (14/3 + -4)*(-4 - 2). Let w be 14*(288/(-21))/i. Are 48 and w non-equal? False Let h be 1275/10 + (-3)/(-6) + -1. Let l = -124 + h. Is 4 less than or equal to l? False Let a = 12690 - 7981. Let b = a + -2901. Let i = -63284/35 + b. Which is smaller: i or 0? i Suppose -5530 - 5962 = 26*c. Let a = c - -431. Which is greater: a or -21? a Let l be (-22)/6 - (-4)/(-12). Suppose -20*o = -274 + 334. Which is smaller: l or o? l Let u(m) = -m**3 + 20*m**2 - 21*m + 33. Let z(g) = g**2 - 23*g + 44. Let f be z(21). Let k be (4/f - 0)*38/4. Let b be u(k). Which is greater: -52/9 or b? b Let d = 27 + -191/7. Let r = 55.002 + -0.002. Let b = r - 69. Does d = b? False Let d be 5/25 + 1/(3480/(-93466)). Let i = d + 80/3. Let h(y) = y**2 + 4*y - 6. Let j be h(-5). Which is smaller: i or j? j Let r = -199329 + 10564083/53. Is -6 <= r? False Suppose 853*x - 809*x - 147796 = 0. Which is bigger: x or 3358? x Let k(u) = -136*u + 276. Let o be k(2). Is 131/46 at least as big as o? False Suppose -20 = 5*r, 47 = 4*x - 2*r - 133. Let p = -40 + x. Suppose -s - j - 12 = -4, -5*s = -p*j + 56. Is -7 >= s? True Suppose 0*d - d + 1 = 0, 0 = -5*w - 3*d - 522. Let t = w + 3253/31. Let o = -1 + 1. Which is bigger: t or o? o Suppose -34 = -g - 34. Suppose -3*i - 34*o + 39*o - 225 = g, 2*i + 2*o + 134 = 0. Is i less than -70? False Let i(q) = 38*q + 2406. Let a be i(-63). Which is smaller: 46 or a? a Let a = -5.45 + 7.3. Let f = 1.75 - a. Is f less than 3? True Let v be 42 + -40 + (5 - 1). Let w be 1 + v/(-4) - (-66)/44. Is -2/59 not equal to w? True Let n = 1280.7 + -1220.7. Which is smaller: n or 59? 59 Let u = 18230/3 - 5872. Is 1 less than or equal to u? True Suppose 1732 = 5*g - 45*f + 47*f, -2*g = f - 693. Let k = -323 + g. Which is smaller: k or 27? k Suppose 59 = -6*l + 143. Let d be 31 - 39 - (-88)/l. Which is smaller: 2 or d? d Let m = 15446723739/34447 - 448420. Is m < -1? False Let w(y) = -2*y**2 - 10*y - 5. Let s be w(-4). Suppose -t - 2*t = 3*x - 15, s*t = 4*x + 15. Let n be (-7)/(-2 - 5) - 3/1. Is n at most as big as x? True Let y be 0 + ((-3)/(-5) - 2040/100). Let x(v) = -v**2 + 5*v + 4. Let h be x(-3). Is y < h? False Suppose -62*d = -59*d. Suppose -g - 79 + 58 = d. Is g smaller than -21? False Let h(w) = 2*w**2 + 47*w - 66. Let v be h(-25). Suppose 4*a - 29 = -v, -2*n - a - 9 = 0. Which is bigger: -2 or n? -2 Suppose -8*z - 9 + 2 = -7. Which is smaller: 7/731 or z? z Let x = -5073 + 5045. Let l = -9 + 7. Are x and l nonequal? True Let k = 2.5 + 31.5. Let b = 5 + k. Let q = 38.9 - b. Which is bigger: q or 7? 7 Suppose -5*b = 4*k - 35, 2*b - k - 7 = -2*b. Let t be 1/b - (-36)/54. Let d be 93/(-96) + 2 - 1. Is t smaller than d? False Let t be 115/(-6) - 2/4. Suppose 30 = 2*q + 70. Let s = t - q. Which is bigger: s or -0.4? s Let m = -2214 - -2267. Which is smaller: 14 or m? 14 Let v be ((-200)/(-12))/(2/(-6) - -1). Suppose 5*o - v = -a, -20 = -a - 3*o - o. Suppose -4*i - 7 + 11 = a. Is i equal to -10? False Let x =
{ "pile_set_name": "DM Mathematics" }
ny micrometers are there in three tenths of a centimeter? 3000 How many millilitres are there in seven eighths of a litre? 875 How many litres are there in 14125.5 millilitres? 14.1255 What is 8/25 of a millimeter in micrometers? 320 What is 7.075324 hours in microseconds? 25471166400 How many nanograms are there in 2928.924 kilograms? 2928924000000000 How many grams are there in 0.9117845 kilograms? 911.7845 What is 39.18699 hours in milliseconds? 141073164 What is 3/25 of a millennium in months? 1440 How many centimeters are there in 31876.86 micrometers? 3.187686 How many months are there in seven thirds of a century? 2800 What is 1296.567kg in tonnes? 1.296567 How many nanograms are there in 8708.171 micrograms? 8708171 How many milligrams are there in thirty-two fifths of a gram? 6400 How many centimeters are there in one fifth of a meter? 20 How many millimeters are there in thirteen eighths of a meter? 1625 How many months are there in 8/3 of a millennium? 32000 Convert 662902.4km to millimeters. 662902400000 What is twenty-six fifths of a kilometer in meters? 5200 What is seventy-two fifths of a milligram in micrograms? 14400 What is twenty-one eighths of a century in months? 3150 What is 13669.179 months in decades? 113.909825 How many nanograms are there in nine tenths of a microgram? 900 Convert 13558.76ug to grams. 0.01355876 What is 8/3 of a day in hours? 64 Convert 1.417375 millilitres to litres. 0.001417375 How many minutes are there in 7/6 of a day? 1680 What is 285.77628 milliseconds in hours? 0.0000793823 How many milliseconds are there in 4/3 of a minute? 80000 How many grams are there in 0.7865551 micrograms? 0.0000007865551 Convert 9.050761 litres to millilitres. 9050.761 What is 8029.239 grams in kilograms? 8.029239 How many milliseconds are there in 4.129746 weeks? 2497670380.8 Convert 7946798.4ms to hours. 2.207444 What is 11.28152 grams in nanograms? 11281520000 What is 85463.14 kilometers in meters? 85463140 How many millilitres are there in 16.27915l? 16279.15 What is 380253.1cm in kilometers? 3.802531 How many microseconds are there in 78242.65 days? 6760164960000000 What is seventy-three fifths of a gram in milligrams? 14600 What is two fifteenths of a week in minutes? 1344 How many centuries are there in 89.51646 millennia? 895.1646 Convert 990.6681g to tonnes. 0.0009906681 How many seconds are there in three sixteenths of a hour? 675 What is 6/25 of a litre in millilitres? 240 How many millilitres are there in 49/4 of a litre? 12250 How many millimeters are there in 27/2 of a meter? 13500 Convert 3257.037 centuries to millennia. 325.7037 How many millilitres are there in 5.004938 litres? 5004.938 How many millilitres are there in 3/5 of a litre? 600 What is thirty-seven halves of a litre in millilitres? 18500 How many millennia are there in 0.8481083 centuries? 0.08481083 How many minutes are there in twenty-one quarters of a week? 52920 How many months are there in 67/3 of a decade? 2680 What is 9.680125 meters in micrometers? 9680125 What is 26.91596 grams in tonnes? 0.00002691596 How many nanoseconds are there in 42112.02 weeks? 25469349696000000000 How many milliseconds are there in 3/8 of a second? 375 What is 15.2152l in millilitres? 15215.2 How many minutes are there in 5/4 of a hour? 75 How many nanograms are there in 3/10 of a microgram? 300 How many millilitres are there in 687602.5l? 687602500 What is 13/4 of a millennium in decades? 325 How many millilitres are there in 905527.3 litres? 905527300 What is 55/2 of a litre in millilitres? 27500 What is one twentieth of a millennium in months? 600 What is 1665.38 centuries in years? 166538 How many millilitres are there in eleven quarters of a litre? 2750 What is seven quarters of a litre in millilitres? 1750 How many centimeters are there in 3/25 of a kilometer? 12000 Convert 38118.98ng to micrograms. 38.11898 How many micrograms are there in 911.8552 kilograms? 911855200000 How many milligrams are there in 6/5 of a gram? 1200 Convert 7.564509nm to centimeters. 0.0000007564509 How many nanometers are there in 3/8 of a micrometer? 375 How many grams are there in 3/25 of a kilogram? 120 How many centimeters are there in 29/5 of a meter? 580 How many kilograms are there in 37/5 of a tonne? 7400 How many millilitres are there in 7/8 of a litre? 875 How many millilitres are there in 0.8728502l? 872.8502 What is 11/8 of a micrometer in nanometers? 1375 What is 3437.625kg in tonnes? 3.437625 What is 53.21101 millilitres in litres? 0.05321101 How many months are there in 3/10 of a century? 360 How many micrograms are there in nineteen quarters of a milligram? 4750 What is 86518.61 millimeters in nanometers? 86518610000 How many micrometers are there in 1.764114 kilometers? 1764114000 What is 1/5 of a millennium in years? 200 What is 13/4 of a litre in millilitres? 3250 What is twenty-one quarters of a gram in milligrams? 5250 What is 1065575.52us in days? 0.00001233305 How many millimeters are there in fifty-one halves of a meter? 25500 Convert 7.094567 years to millennia. 0.007094567 Convert 88594.43 kilometers to centimeters. 8859443000 Convert 3839.775 hours to nanoseconds. 13823190000000000 Convert 637.7069kg to tonnes. 0.6377069 Convert 8593.856km to micrometers. 8593856000000 What is 250955.577ms in days? 0.0029045784375 How many meters are there in 5/4 of a kilometer? 1250 What is seven sixths of a decade in months? 140 What is 42/5 of a tonne in kilograms? 8400 What is fourty-six fifths of a kilometer in meters? 9200 What is 3/28 of a week in minutes? 1080 What is 46138.19mm in nanometers? 46138190000 What is 135.9647l in millilitres? 135964.7 How many millilitres are there in twenty-nine halves of a litre? 14500 How many minutes are there in eight sevenths of a week? 11520 How many micrometers are there in 848.9663 centimeters? 8489663 Convert 0.8499942 weeks to nanoseconds. 514076492160000 How many meters are there in 1/5 of a kilometer? 200 How many micrograms are there in three eighths of a milligram? 375 What is 0.4792619 days in milliseconds? 41408228.16 How many kilometers are there in 5.386361 nanometers? 0.000000000005386361 How many minutes are there in 5/4 of a hour? 75 Convert 6.90736 tonnes to micrograms. 6907360000000 What is 78.35348m in centimeters? 7835.348 How many millimeters are there in 7/2 of a meter? 3500 How many micrometers are there in fifteen quarters of a millimeter? 3750 Convert 53952.35 years to months. 647428.2 How many nanograms are there in 3900.976 micrograms? 3900976 Convert 5809.787ng to grams. 0.000005809787 What is seven quarters of a millimeter in micrometers? 1750 How many grams are there in 594.0088 tonnes? 594008800 How many millimeters are there in thirteen quarters of a meter? 3250 Convert 0.806545 weeks to microseconds. 487798416000 Convert 2642.78cm to millimeters. 26427.8 How many seconds are there in 386.0651 weeks? 233492172.48 How many kilograms are there in three eighths of a tonne? 375 What is twenty-seven fifths of a gram in milligrams? 5400 What is 3/25 of a kilogram in grams? 120 How many millennia are there in 20580.156 months? 1.715013 What is 6564.93 millennia in years? 6564930 How many milligrams are there in twenty-seven halves of a gram? 13500 How many millimeters are there in 1/4 of a meter? 250 How many months are there in 7174.151 millennia? 86089812 What is 26/5 of a kilometer in meters? 5200 What is 3/25 of a micrometer in nanometers? 120 What is four thirds of a day in hours? 32 What is fourty-three thirds of a year in months? 172 What is 75.19558 grams in milligrams? 75195.58 Convert 97.87054ns to seconds. 0.00000009787054 How many grams are there in 65879.82 tonnes? 65879820000 How many micrograms are there in nineteen quarters of a milligram? 4750 How many months are there in 7771.36 years? 93256.32 What is fifty-one fifths of a millisecond in microseconds? 10200 Convert 19.46206t to kilograms. 19462.06 What is 8939.707ug in tonnes? 0.000000008939707 How many seconds are there in one twentieth of a minute? 3 What is 2/15 of a day in minutes? 192 What is 3.573686 nanograms in micrograms? 0.003573686 How many nanometers are there in five quarters of a micrometer? 1250 What is 3/25 o
{ "pile_set_name": "DM Mathematics" }
is f(m(n))? 29767*n**2 Let p(t) = t**2. Let j(h) = -h**2 - 3*h - 1. Let b(k) = 7*k**2 - 11*k + 5. Let a be (-43)/9 + (-142)/639. Let f(z) = a*j(z) - b(z). Determine f(p(r)). -2*r**4 + 26*r**2 Suppose 0 = 262*s - 266*s + 232. Let o(d) = -123*d + s*d + 67*d. Let x(k) = -32*k**2. Determine x(o(q)). -128*q**2 Let b(y) = -4*y**2. Let f(r) = -53156*r**2 + 6028*r + 1507. Let g(p) = 141*p**2 - 16*p - 4. Let t(k) = -4*f(k) - 1507*g(k). Calculate b(t(z)). -75076*z**4 Suppose -113 - 7 = -5*y. Let a(h) = 29*h + 32*h - 113*h + y*h + 29*h. Let i(l) = -2*l**2 - 116*l. Calculate a(i(u)). -2*u**2 - 116*u Let a(x) = -9*x**2. Let y(l) be the second derivative of -40*l + 1/6*l**3 + 0 + 0*l**2. What is a(y(f))? -9*f**2 Let f(n) = 3*n. Let i(c) = -569789*c**2 + 4*c. Determine f(i(m)). -1709367*m**2 + 12*m Let k(o) = -168*o**2. Suppose -2*g + 3*c + 222 = 0, -3*g + 4*c = -223 - 110. Let z(f) = f - 111 + g. Determine k(z(d)). -168*d**2 Let z(w) = -3094*w**2. Let i(p) = 4243470*p - 4243470*p - 7*p**2. Determine i(z(c)). -67009852*c**4 Let t(r) = -r + 48. Let w(y) = -311*y - 225. What is w(t(k))? 311*k - 15153 Let a(w) be the third derivative of w**4/12 + 74*w**2. Let x(p) = p**3 + 10*p**2 + 15*p - 8. Let l be x(-8). Let i(j) = l*j - j - 3*j. Calculate a(i(s)). -8*s Let q be -7 - (8 - 6 - 204). Let w(b) = -b + 195 + 0*b + 0*b - q. Let j(g) = -2*g**2 - 11. Determine w(j(i)). 2*i**2 + 11 Let l(w) = w**2. Let k(x) = x**2 - 3*x - 2. Let n be k(-2). Suppose 2*c - n = 16. Let z(y) = 16*y + 18*y - c*y. What is z(l(h))? 22*h**2 Let x(o) = 9*o - 118. Let s be x(13). Let p(y) = y**2 + 5*y. Let w(n) = -n. Let g(l) = s*p(l) - 5*w(l). Let i(d) = -20*d**2. Determine i(g(f)). -20*f**4 Let y(k) = 69*k. Let r(s) = -36290*s. Give r(y(i)). -2504010*i Let j(n) = 3*n**2. Suppose 0 = -2*l + 3*c - 8*c + 30, 0 = 5*l + 3*c - 56. Suppose -l*m = -6*m - 28. Let s(v) = -6*v + 17*v - m*v - v. Give j(s(x)). 27*x**2 Let a(t) = -39*t**2 + 21 - 30 + 12 + 182*t**2 + 116*t**2. Let v(u) = -3*u. What is a(v(b))? 2331*b**2 + 3 Let x(i) = 3998*i. Let k(v) = -8*v**2 + 913. What is k(x(s))? -127872032*s**2 + 913 Let j(t) = 82*t**2 - 15675 + 15678 - 87*t**2. Let h(l) = -l - l - 2*l. Give h(j(x)). 20*x**2 - 12 Let s(c) = 1694573*c. Let m(w) = 93*w - 1. What is m(s(z))? 157595289*z - 1 Let d(g) be the first derivative of -3*g**2/2 - 26. Let n(f) be the third derivative of 0*f + 0*f**4 + 0*f**3 - 6*f**2 - 1/30*f**5 + 0. Calculate n(d(k)). -18*k**2 Let w(u) be the third derivative of -u**7/2520 - 13*u**5/15 - 12*u**2 + 3. Let q(s) be the third derivative of w(s). Let x(i) = 4*i. Determine q(x(j)). -8*j Let y(f) = 343*f - 22765. Let b(w) = -2*w. What is b(y(u))? -686*u + 45530 Let m(x) = 7*x + 2. Let l(o) be the third derivative of o**4/4 + 64*o**2 + 11*o. Determine m(l(g)). 42*g + 2 Let l(y) = 62486*y. Let f(k) = -9*k. Give f(l(v)). -562374*v Let n(d) = -19*d - 3. Let u(w) = 3*w + 1. Let o(k) = 2*n(k) + 10*u(k). Let v(x) = -9*x + 5. Let z(s) = -4*o(s) + 3*v(s). Let h(y) = -2*y. What is h(z(f))? -10*f + 2 Let c(m) = 3*m**2 - 102. Let o(b) = b**2 - 20*b - 10. Let u(g) = -8*g - 4. Let f(v) = -4*o(v) + 10*u(v). Determine c(f(p)). 48*p**4 - 102 Let f(l) be the second derivative of -1/2*l**3 - 1 + 0*l**2 + 30*l. Let z(g) = -g**2 + 51*g. What is f(z(a))? 3*a**2 - 153*a Let n(h) = -h**2. Let u(a) = -216*a + 218*a + 85 + 56 + 9. What is u(n(y))? -2*y**2 + 150 Let w(k) = -4*k**2 + 15*k**2 + 4*k**2 - 2*k**2. Let g(j) = 15*j + 2*j - 9*j - 5*j. Calculate g(w(f)). 39*f**2 Let v(w) = -12*w**2. Let n(c) = -41*c + 18*c + 17*c**2 + 17*c + 7 + 20*c. Let u(j) = 5*j**2 + 4*j + 2. Let h(g) = -2*n(g) + 7*u(g). Give h(v(d)). 144*d**4 Let j(h) = -2*h - 211. Let f(m) = -19*m + 30. Let t(q) = -5*q + 10. Let u(n) = -f(n) + 3*t(n). Calculate u(j(z)). -8*z - 844 Let v(c) = -c - 23588936. Let m(f) = 2*f. Calculate v(m(n)). -2*n - 23588936 Let n(u) = -146*u**2 - 219. Let p(v) = 3*v**2 + 3. Let g(w) = -2*n(w) - 146*p(w). Let h(f) = f. Determine h(g(b)). -146*b**2 Let o(g) = -4*g**2. Let j(v) = 962298*v**2. Determine o(j(r)). -3704069763216*r**4 Let m(t) = 2*t. Let f(y) = -2455*y**2 - 7*y - 16. Let d(g) = 2445*g**2 + 6*g + 14. Let n(p) = 7*d(p) + 6*f(p). Determine m(n(a)). 4770*a**2 + 4 Let q(m) = -68 - 31 - 17*m**2 + 99. Let v(y) = -3*y**2 + 7. Determine q(v(t)). -153*t**4 + 714*t**2 - 833 Let y(c) = -1 - 13 - 3*c**2 + 3. Let v(u) = 1. Let d(z) = -22*v(z) - 2*y(z). Let q(s) = 8*s - 6. Let f(b) = b - 1. Let r(w) = -6*f(w) + q(w). Determine d(r(a)). 24*a**2 Let h(r) be the second derivative of -r**4/6 + 96*r + 1. Let y(z) be the third derivative of 437*z**5/60 - 56*z**2. Determine h(y(o)). -381938*o**4 Let i(n) = 14*n - 77. Let t(l) = 85*l - 475. Let f(d) = 37*i(d) - 6*t(d). Let r(s) = 9*s**2 + 1. Give f(r(v)). 72*v**2 + 9 Let j(q) = 4*q**2. Suppose -12*x - 565 = -7*x. Let g = x - -115. Let o(v) = 671 - 671 + 9*v**g. Give o(j(n)). 144*n**4 Let r(c) = -1106*c**2. Let v(f) = 119493*f**2. What is r(v(x))? -15792106216194*x**4 Let y(h) = -h**2. Suppose -5*p = 4*i + 226, -3*i + 91 = 4*p + 260. Let o = 85 + i. Let j(t) = o - 26 + 6*t**2. Determine j(y(n)). 6*n**4 Let x(y) = -y. Let d(n) = -4*n**2 - 3*n. Let g(i) be the third derivative of 77*i**5/60 + 7*i**4/3 - 55*i**2 - 1. Let r(v) = 56*d(v) + 3*g(v). What is r(x(o))? 7*o**2 Let x(u) = -609*u - 99. Let h(c) = -38*c - 6. Let p(v) = -66*h(v) + 4*x(v). Let j(o) = 14*o**2. Determine j(p(s)). 72576*s**2 Let m be 4/(120/18) - (-22)/5. Let k(c) = 113*c + m*c**2 + 6*c**2 - 4*c**2 - 113*c. Let b(w) = -4*w**2. Determine b(k(d)). -196*d**4 Let l(f) = 45*f**2. Suppose -8*a - 16 + 0 = 0. Let y(g) = 3*g + 7. Let o(h) = h + 2. Let c(z) = a*y(z) + 7*o(z). Determine l(c(d)). 45*d**2 Let l(n) = -125*n + 7. Let a(y) = -98*y - 248. Calculate a(l(q)). 12250*q - 934 Let c(z) = -26*z. Let f(x) = 36*x - 1. Let a(o) = -315*o + 10. Let u(d) = a(d) + 9*f(d). What is c(u(w))? -234*w - 26 Let r(z) = 11*z + 10938. Let s(k) = 35*k. Give r(s(j)). 385*j + 10938 Let h(v) = 5847862*v**2. Let w(g) = g. Give h(w(f)). 5847862*f**2 Let z(p) = -7*p**2. Let f(d) = 2*d + 10 + 24 - d**2 - 36 + 0*d**2. Let b(j) = -j**2 - j + 1. Let t(q) = -2*b(q) - f(q). Determine z(t(k)). -63*k**4 Let s(f) = -6*f. Let u(m) = -2*m - 901533. Give u(s(n)). 12*n - 901533 Let t(w) = 36563*w. Let l(q) = -q**2 - 47. What is l(t(y))? -1336852969*y**2 - 47 Let n(y) = y. Let o(g) = -14817730*g. What is o(n(r))? -14817730*r Let z(n) = n. Let c(q) be the third derivative of q**4/8 - 973*q**3/3 + 4349*q**2. Give c(z(l)). 3*l - 1946 Let d(v) = 13*v + 16. Let i(j) = -3*j - 4. Let u(l) = -4*d(l) - 18*i(l). Let p be u(-3). Let g(b) = -7*b**2 + p*b**2 + 4*b**2. Let y(n) = -n. What is g(y(t))? -t**2 Let f(h) = h**2 + 5*h**2 - 11*h**2. Let a(y) = 16*y - 89*y + 23*y + 21*y + 23*y. Give f(a(n)). -180*n**2 Let g(r) be the third derivative of 187*r**5/15 - 43*r**2 + 9*r. Let c(f) = 2*f**2. Give g(c(m)). 2992*m**4 Let x(o) be the first derivative of 5*o**2/2 - 3*o - 579. Let b(c) = 13*c**2. What is b(x(d))? 325*d**2 - 390*d + 117 Let d(m) = -2107*m**2 - 13. Let q(g) = 30*g. What is d(q(x))? -1896300*x**2 - 13 Let l(r) be the third derivative of r**4/8 + 885*r**2. Let w(f) = -125*f. Calculate l(w(b)). -375*b Let v(j) be the third derivative of 2431*j**4/8 + 4546*j**2. Let d(f) = -2*f. What is d(v(l))? -14586*l Let j(q) = 5*q**2 + 4. Let b = 123 - 121. Let x(v) = 486*v**2 + 488*v**b - 970*v**2. Give j(x(o)). 80*o**4 + 4 Let b(v) = -v**2. Let i(r) = 14 - 2469*r**2 - 25 + 9 + 2. Determine b(i(y)). -6095961*y**4 Let j(s) be the first derivative of 13*s**2 + 65 - 70 - 6*s**2. Let d(o) = -1 + 129*o + 1 - 130*o. What is d(j(p))? -14*p Let b(f) = 202*f. Let v(q) be the second derivative of -2*q**3 + 20*q + 25. Determine v(b(c)). -2424*c Let a(w) = 4*w. Let x(p) = -4326*p - 1. Give x(a(n)). -17304*n - 1 Let r(u) = -11*u + 113*u**2 - 115*u**2 + 11*u. Let a(s) = 287*s + 91. Let z(k) = 19*k + 6. Let l(t) = -6*a(t) + 91*z(t). Give r(l(b)). -98*b**2 Suppose -3*x + 84 = 15. Let n(o) = x*o + 3 - 3 - 25*o. Let h(r) be the first derivative of 10*r**2 + 80. Give h(n(j)). -40*j Let t(j) be the third derivative of j**5/30 - 5272*j**2. Let r(s) be the first derivative of -111*s**2 + 3. Determine r(t(n)). -444*n**2 Let z(g) = 568*g + 17. Let h(t) = 1831*t + 2. What is z(h(i))? 1040008*i + 1153 Let z(t) =
{ "pile_set_name": "DM Mathematics" }
t r(j) = -167*j**3 + 171*j**3 - j**2 - 2*j + 0*j - v. Calculate r(z). 23 Let v(i) = 49*i**3 + 9*i**2 - 7*i - 35. Let f(u) = 25*u**3 + 4*u**2 - 3*u - 16. Let k(h) = -11*f(h) + 5*v(h). Give k(1). -30 Let h(a) = -3*a**3 - 2*a + 39. Let t(f) = -f**3 + 3. Let o(m) = -h(m) + t(m). Determine o(0). -36 Let x = -198 - -203. Let r(i) = x*i + 7 - 41*i**2 + 40*i**2 + 3. Calculate r(7). -4 Let u(v) = 5*v - 4. Let q(d) = -14 + 2*d**3 - 16 + 28*d**2 - 451*d + 449*d. Let n be q(-14). Determine u(n). -14 Let n(h) = -h**3 - 2*h**2 + h - 1. Let k be (8/10)/(-2 + 56/30). Let a be 2*k/(-8) - 3/2. Suppose 3*q - 7*q - 12 = 2*r, 5*q + 3*r + 15 = a. Calculate n(q). 5 Let g(l) = -8 - 90*l - 98*l + 288*l + 2*l**2 - l**2 - 98*l. Give g(-7). 27 Let w = -97002 + 97017. Let y(r) = 13. Let d(m) = -m + 1. Let k(n) = d(n) + y(n). Give k(w). -1 Let i(a) be the first derivative of a**7/420 + a**6/60 + a**5/120 - a**4/24 + 76*a**3/3 + 7. Let j(g) be the third derivative of i(g). What is j(-4)? -37 Let w(g) = g**3 - 3*g**2 - 12*g + 7. Let b = 5706 - 5701. Calculate w(b). -3 Let n(i) = -3*i - 62. Let b(y) = -2*y - 68. Let z(k) = 2*b(k) - 3*n(k). Give z(-14). -20 Let r(n) = -n**2 - 9*n + 24. Let d(q) = 91*q - 2379. Let u be d(26). Determine r(u). -28 Suppose 2*h = -5*r + 7, 0*r + 4 = 2*h + 2*r. Let w be (-9)/3 + (4 - h). Let t(d) = 6 - 4*d - 3 + w - 2. What is t(-3)? 13 Let q(d) = 12*d - 2. Let t(f) = -f**2 - 93*f + 41. Let m(w) = 8*q(w) + t(w). Determine m(6). 7 Let h(d) = d**3 + 2*d**2 - 2*d - 5. Suppose 8*m = 13*m + 73*m + 234. Give h(m). -8 Let y(u) = -70 + 20 + 20 + 28 + 31*u. Give y(1). 29 Let u(m) = -4*m**3 + 4*m**2 - 5*m + 3. Let r be (-9 + (-368)/(-40))/(1/15). Determine u(r). -84 Let v(z) = z**2 - 8*z + 6. Let j be 30/4*220/(-30). Let s = j + 57. Let l be 4 + 1 + (s - 1). Determine v(l). -6 Let k be ((-144)/(-162))/(-2) + 68/(-9). Let c(j) = j - 3. Calculate c(k). -11 Let s(i) = -5*i**3 - 21*i**2 - 8*i - 10. Let u = 1526 + -1530. Calculate s(u). 6 Let o(h) = 5*h**2. Let w(r) = -r**3 + 26*r**2 - r - 1. Let b(k) = -11*o(k) + 2*w(k). Suppose 100*u - 96*u = 4*c + 4, -3*c = u + 7. Calculate b(c). 6 Let v(x) = x**2 + 9*x + 8. Suppose -19 = 4*c + 1. Let r(f) = -37. Let k(a) = -a - 74. Let g(l) = c*r(l) + 2*k(l). Let t be g(22). What is v(t)? -6 Let w(p) be the first derivative of p**4/4 + p**2/2 - 2637. Let f(s) = s**3 - 7*s**2 + 6*s - 1. Let m be f(6). Let i be (m + 2)/(-2)*-2. Calculate w(i). 2 Suppose -3*r + 13 = 4. Let d(y) = 9 + 3*y - r*y - 2 - y. Let v = -501 - -506. What is d(v)? 2 Let d(q) = -q**2 + 22*q + 110 - 114 - 28*q. Calculate d(-4). 4 Let f(x) be the third derivative of -x**4/24 - 11*x**3/3 + 1906*x**2. Determine f(5). -27 Let h(m) = -32*m + 277. Let k(p) = -96*p + 970. Let u(b) = 7*h(b) - 2*k(b). Let d(l) = -l**2 - l + 1. Let t be d(0). Give u(t). -33 Let g(j) = -13 - 2*j + 2 + j. Let q(o) = 375*o - 15015. Let c be q(40). Calculate g(c). 4 Let w(m) be the third derivative of m**5/30 + 7*m**4/24 + 5*m**3/2 + 4*m**2 - 2*m - 129. Give w(-7). 64 Let i(m) = 7*m**2 - 43*m - 3. Let z(j) = -3*j**2 + 20*j + 1. Let c(s) = 4*i(s) + 9*z(s). Suppose 4*l - l + 5*a = 1, -4*a = -20. Let r = 3 + l. Calculate c(r). -18 Let q be 12 - ((-2058)/735)/(14/(-60)). Let o(v) = 6*v**2 - 15*v + 4. Calculate o(q). 4 Let w(i) = i**2 + 2*i + 2. Suppose -171*h = -164*h - 308. Suppose -d - 46 = -h. What is w(d)? 2 Let u be 0/(-1) + (8 - 9). Let h(c) be the second derivative of 1/2*c**2 - 5*c - 4/3*c**3 + 7. Give h(u). 9 Suppose 3*t = 2*t. Let c(y) = 3 + 11 - 3 - 2172*y + 2171*y - 2. Determine c(t). 9 Suppose 0 = 2*r + 4*a - 16, -a + 69 = 4*r + 2. Let f(l) = -2*l - 2. Let q(b) = -33*b - 39. Let z(o) = r*f(o) - q(o). Give z(0). 3 Let z be (-181)/(-8)*-2 - 7/(-28). Let t = 55 + z. Let k = t + -15. Let p(f) = f**2 + 7*f. Give p(k). -10 Suppose -20 = -15*y - 6 + 31. Let i(m) be the third derivative of 4*m**2 + 0 - 1/6*m**4 - 1/60*m**5 + 0*m - m**y. Give i(-4). -6 Let a(h) = -12*h - h - 79*h**2 - h**3 + 36*h**2 - 7 + 59*h**2. Calculate a(15). 23 Let q(d) = 2*d**2 - 1. Let o(c) = -9*c**2 + 6*c + 3. Let a(g) = -o(g) - 4*q(g). Suppose 4*r + 28*w = 26*w + 18, -4*r = -2*w - 30. What is a(r)? 1 Let a = -1088 + 1095. Let w(h) = 2*h - 31. What is w(a)? -17 Let c(m) = -m**3 - 10*m**2 - 9*m + 15. Let l be (38 - 27) + -5*4. Calculate c(l). 15 Suppose 45 = 7*s + 2*s. Let d(h) = -2*h**2 - 3 + s + 3*h**2 - 7*h. Let o(b) = 25*b**2 - 47*b + 1. Let f be o(2). Give d(f). 2 Let l be (-508)/22 + 3/33. Let m be -2 + l/(-2) - (-6)/(-12). Let u(o) = o**2 - 8*o - 10. Determine u(m). -1 Let k(r) be the first derivative of -r**4/24 + r**3 + 5*r**2/2 - 20*r - 29. Let y(a) be the second derivative of k(a). Give y(2). 4 Suppose u - 10 = -15. Let x(z) = -20*z - 27. Let n be (-15)/40*-4*(-4)/(-1). Let q(a) = -7*a - 9. Let d(h) = n*x(h) - 17*q(h). Determine d(u). -4 Let c(x) = 6*x + 260 - 474 + 259. What is c(-9)? -9 Let v = 20 - 19. Let x be -5 - ((1 - 0)*v - -2). Let b(h) be the third derivative of h**5/60 + 3*h**4/8 + 2*h**3/3 - 2*h**2. Determine b(x). -4 Suppose 3*s - 6 = 4*s + 5*d, 5*d + 10 = 0. Let l(g) be the first derivative of -3*g**2/2 + 2*g + 3221. Determine l(s). -10 Let r = -133 + 211. Suppose 5*b + r - 73 = 0. Let s(c) = -36*c + 75*c + 3*c**2 - 38*c + 1. Determine s(b). 3 Let t(v) = v**3 - 16*v**2 - 21*v + 16. Suppose -2*y = -3*s + 55, 168*s - 171*s + 41 = 5*y. What is t(s)? -52 Let q be (-4)/6 + 15532/132. Let p(i) = 53 - q + 59 - 2*i. Calculate p(-6). 7 Let f(o) = o**2 + 4*o - 2. Let k be f(3). Let y = k + -16. Let c(d) = 19*d - d**2 + 12*d + 7*d**y + 1 - 31*d. Calculate c(1). 7 Suppose 0*s + 20 = 4*o + 2*s, -o + 23 = 5*s. Suppose -h - o*h + 4 = 0. Let b(u) = -4*u - 6*u**2 - 16*u + 4*u**2 + 21*u - 6*u**3. Give b(h). -7 Let c(v) = 12*v**2 - 2*v - 4. Let t(h) = -5*h**2 + h + 2. Let d(s) = 3*c(s) + 5*t(s). What is d(-1)? 10 Let o(s) = -47*s**3 - 19*s**2 + 19*s - 3. Let b(c) = -28*c**3 - 10*c**2 + 10*c. Let z(g) = -5*b(g) + 3*o(g). Give z(-7). -58 Let o = -29 - -33. Suppose 0 = -i - 0 + o. Let s(k) be the third derivative of -k**6/120 + k**5/20 + 5*k**4/24 - 2*k**2. What is s(i)? 4 Let z(w) = -w**3 - 32*w**2 + 88*w + 142. Let d be z(-35). Let f = -738 + d. Let s(i) = -11*i**2 + 2*i + 1. Determine s(f). -12 Let i(q) be the first derivative of 2*q**3/3 + 9*q**2/2 + 132*q - 134. Let j(b) be the first derivative of i(b). What is j(-5)? -11 Let j(k) be the second derivative of k**3 + 79*k**2/2 - 669*k. Determine j(-16). -17 Let k be 2/24 - (13234/(-456) - 90/(-855)). Let s(o) = -o**3 + 28*o**2 + 34*o - 149. Give s(k). -4 Let f(v) = -3977*v + v**2 + 3972*v + 3 + 0. Give f(-7). 87 Let s(l) be the first derivative of 23*l**2/2 - 3*l + 811. Give s(-1). -26 Let v(d) be the first derivative of -44 - 10*d - 5*d**2 + 8/3*d**3 + 1/4*d**4. Calculate v(-9). -1 Suppose 4*f - 3*x + 20 = 0, -x = x. Let v(g) = -g**3 + 8*g + 8. Give v(f). 93 Let n(k) be the third derivative of k**7/2520 + k**6/90 + k**5/60 + k**4/12 - 2*k**3 - 9*k**2 - 2. Let b(o) be the second derivative of n(o). Determine b(-9). 11 Suppose 0 = 121*y - 122*y - 18. Let d be ((-78)/y + -1)/(4/(-6)). Let t(f) = -6*f - 1. Calculate t(d). 29 Let p(f) = 5*f + 9. Let i(a) = -5*a - 7. Let d(l) = -3*i(l) - 2*p(l). Let z = -68 - -77. Suppose -3*r - z - 9 = 0. Determine d(r). -27 Let v be 0*-1*1/3. Let n(c) = -1 - 4*c - 1 + v - 2*c. Suppose 0 = 4*y + z + 11, -9*z + 4*z - 11 = -2*y. Determine n(y). 10 Let q(n) = -n**2 + 8*n - 1. Suppose 0 = -39*v - 76*v + 10*v + 945. Calculate q(v). -10 Suppose 22 = 9*j + 2*j. Let c(i) = i**3 - 62 + 9*i + 128 - 67 + 9*i**j. Determine c(-8). -9 Let t(z) = 0*z - 6 + 6 + 1 + z. Let m(l) = -5*l - 2. Let b(c) = 6*c + 60. Let p be b(-11). Let w(r) = p*t(r) - m(r). Determine w(3). -7 Suppose 0 = 4*i - 4*g + 12, 10*i - 18 = 12*i + 4*g. Let d(f) = 0*f**3 + 3 - 4*f - 6*f**2 + 4*f**3 - 5*f**3 + 1. Calculate d(i). -1 Let b be 4/(((-112)/(-6))/(-14)). Let n(i) = -5*i**2 - 18*i. Determine n(b). 9 Let d(t) = 8*t + 31. Let z = 259 - 264. Let y be d(z). Let j(g) = -g**2 - 10*g - 6. Determine j(y). 3 Let k(n) = 14 + 4*n**2 + 0*n**2 + 8*n - 3*n**2. Let t be (0 + 3)/(15*(-14)/420). Give k(t). 2 Let o(j) be the first derivative of j**2 + 3*j - 2. Let a be (-5)/(5/(-2)) - (9 - 5). What is o(a)? -1 Let o(v) = -6*v**2 + 51*v**2 - 25*v**2 - 18*v + 51 + 18 + v**3. Calculat
{ "pile_set_name": "DM Mathematics" }
e terms in 6*d**3 - 2563*d + 3*d**3 - 2577*d + 5119*d. 9*d**3 - 21*d Collect the terms in 119*b**2 - 8340*b**2 - 4957*b**2 - 6262*b**2 + 84*b**2 + 3671*b**2. -15685*b**2 Collect the terms in 5 + 88*t - 6 + 6 + 104*t. 192*t + 5 Collect the terms in -49 + 16*f**3 - 37 + 13 + 21*f**3 - 25*f**3. 12*f**3 - 73 Collect the terms in 31 - 29 - 54*o - 50*o - 55*o + 171*o - 37*o. -25*o + 2 Collect the terms in 10145 - 22*y - 5072 - 5075. -22*y - 2 Collect the terms in 51*p**2 - 711646 + 355916 + 355730. 51*p**2 Collect the terms in 70*y - y**3 - y**3 + 289*y + 2*y**3 - 141*y - y**3. -y**3 + 218*y Collect the terms in -87*l**2 + 83*l**2 + 31*l**2 + l. 27*l**2 + l Collect the terms in -10*w**2 - 3*w + 2*w**2 + 4*w**2 - 591 + 99 + 2*w**2. -2*w**2 - 3*w - 492 Collect the terms in -536*y**3 + 1613*y**3 - 537*y**3 - 541*y**3 + 24856. -y**3 + 24856 Collect the terms in -15331655 + 45*n**2 + 7665828 - 31*n**2 + 7665827. 14*n**2 Collect the terms in 106667*r**3 - 21289*r**3 + 46032*r**3. 131410*r**3 Collect the terms in -1416252 - 85*l**2 + 1416252. -85*l**2 Collect the terms in -40944*d**2 - 20 + 40839*d**2 + 32. -105*d**2 + 12 Collect the terms in -639 + 327 + 312 + 167*c. 167*c Collect the terms in -166627*c - 166431*c + 332610*c. -448*c Collect the terms in -4*a - 20*a - 454*a**3 + 4*a + 14*a. -454*a**3 - 6*a Collect the terms in -1066*o**2 + 809*o**2 - 843*o**2 - 862*o**2. -1962*o**2 Collect the terms in -885*o - 166 + 228*o + 219*o + 228*o + 216*o. 6*o - 166 Collect the terms in -1 - 82*x**3 - 275*x**3 - 5*x**3 - 43*x**3. -405*x**3 - 1 Collect the terms in 6302 - 6310 + 0*r - 3081*r**2 - r. -3081*r**2 - r - 8 Collect the terms in -2632*u + 866*u - 844*u**2 + 896*u + 870*u. -844*u**2 Collect the terms in -780*h**2 + 8*h - 766*h**2 + h - 7*h + 1565*h**2. 19*h**2 + 2*h Collect the terms in 12541469600*z - 2035*z**3 - 12541469600*z. -2035*z**3 Collect the terms in 330 + 1496 + 1499 - 3325 + 7*i. 7*i Collect the terms in 371*s - 911 - 208 - 81*s + 169*s. 459*s - 1119 Collect the terms in -134*g**2 - 16433388 + 16433388. -134*g**2 Collect the terms in -7200 - 7256 + 14456 + 517*c**2. 517*c**2 Collect the terms in 5 - 4 + 16*b + 6 + 3 - 6*b. 10*b + 10 Collect the terms in 2020*n**2 + 1118*n**2 - 3558*n**2 - 2795*n**2 - 4254*n**2. -7469*n**2 Collect the terms in 1583*j**3 - 4524*j**3 - 1 + 1481*j**3 + 1 + 1463*j**3. 3*j**3 Collect the terms in -186*w**2 - 81*w**2 - 180*w**2 - 74*w**2 + 674*w**2. 153*w**2 Collect the terms in -243*g + 36*g**2 + 27*g**2 + 27*g**2 - 92*g**2. -2*g**2 - 243*g Collect the terms in 2499*w**3 - 11778*w**3 - 1977*w**3. -11256*w**3 Collect the terms in -302*g - 320*g - 982*g**2 + 622*g + 415*g**2 + 565*g**2. -2*g**2 Collect the terms in -4*a**2 - 36518*a + 9387*a + 27074*a + a**3 + 4*a**2. a**3 - 57*a Collect the terms in -2*k + 47*k**2 - 41*k**2 + 2*k - 85162 + 85162. 6*k**2 Collect the terms in -262428*m**2 + 262416*m**2 + 60 - 16. -12*m**2 + 44 Collect the terms in 9881*g - 16450*g - 59200*g. -65769*g Collect the terms in 22418*c**3 + 22413*c**3 - 89650*c**3 + 22411*c**3 + 22411*c**3. 3*c**3 Collect the terms in -94*d**2 + 7127818402 - 7127818402. -94*d**2 Collect the terms in -34*f**2 - 31*f**2 + 60*f**2 + 14 + 9. -5*f**2 + 23 Collect the terms in -15346928 - 5*k + 5115634 + 5115648 + 5115646. -5*k Collect the terms in 2200*s**3 - 1083*s**3 - 1108*s**3. 9*s**3 Collect the terms in -11*o**2 - 1533*o + 7660*o + 10*o**2. -o**2 + 6127*o Collect the terms in 375*r - 1925*r + 534*r + 511*r + 514*r. 9*r Collect the terms in -5693*n**2 - 4956*n**2 - 4280*n**2 + 17216*n**2 - 4389*n**2. -2102*n**2 Collect the terms in -85*w**3 + 1046*w**3 - 541*w**3. 420*w**3 Collect the terms in 15 - 6*r + 0 - 2*r - 26 + 10 + 6*r. -2*r - 1 Collect the terms in 119*u - 44*u - 8 + 4 - 1668*u**3. -1668*u**3 + 75*u - 4 Collect the terms in -29396*u**3 + 14316*u**3 + 15056*u**3. -24*u**3 Collect the terms in -604*b + 1013 - 1013 - 3928*b. -4532*b Collect the terms in 884 - 16623*v - 884 + 4431*v. -12192*v Collect the terms in 25*j + 236 + 80 + 30 - 26*j + 115. -j + 461 Collect the terms in 15372*r - 13 - 14737*r + 6 - 20. 635*r - 27 Collect the terms in -71 - 1714*m + 3402*m - 1765*m. -77*m - 71 Collect the terms in 5*y - 5*y + 24944*y**3 - 24945*y**3 - 4*y. -y**3 - 4*y Collect the terms in 80*r + 686*r - 90*r + 52*r + 181*r. 909*r Collect the terms in n - n + 5*n - 809 - 5*n + 807 + 4*n. 4*n - 2 Collect the terms in 4 + 12383400*q - 12383358*q - 5. 42*q - 1 Collect the terms in -157 - 1282 - 659 + 7*v. 7*v - 2098 Collect the terms in -85*k**2 - 36*k + 19*k**2 + 31*k**2 + 18*k**2 + 39*k + 29*k**2. 12*k**2 + 3*k Collect the terms in -22277*c**3 - 22326*c**3 - 2*c**2 + 44608*c**3 + 2*c**2. 5*c**3 Collect the terms in 85*v - 27*v - 31*v - 32*v + 48*v - 28*v - 33*v. -18*v Collect the terms in 1 - 23*t**2 + t - t - 2374419*t**3 + 2373712*t**3. -707*t**3 - 23*t**2 + 1 Collect the terms in 1950*j**2 + 1559 - 2490 - 525*j**2 + 931. 1425*j**2 Collect the terms in 417*c + 1598*c**3 - 2 + 2*c**2 + 734*c**3 - 160*c. 2332*c**3 + 2*c**2 + 257*c - 2 Collect the terms in -1027*v**3 + 44*v**3 - 411*v**3. -1394*v**3 Collect the terms in 257*c**2 + 1350*c - 143*c**2 + 170*c**2 + 188*c**2. 472*c**2 + 1350*c Collect the terms in -11*a + 3*a**2 - a - 190743*a**2 - 78375*a**2. -269115*a**2 - 12*a Collect the terms in 24647 + 24634 + 2*w + 25293 - 74574. 2*w Collect the terms in 288*u - 43 - 288*u + 45 + 57*u**2 + 12*u**2 + 233*u**2. 302*u**2 + 2 Collect the terms in 45751*q**2 + 45739*q**2 + 2*q**3 + 2*q**3 - 137394*q**2 + 45753*q**2 - 7*q**3. -3*q**3 - 151*q**2 Collect the terms in 218 + 182*n - 41 - 43 - 59 - 53. 182*n + 22 Collect the terms in -72630291*o**2 + 145260699*o**2 - 72630407*o**2. o**2 Collect the terms in -17*b**2 + 10*b**2 + 28 - 28 + 21*b**2 - 54*b**2 + 14*b**2. -26*b**2 Collect the terms in -23 - 24489*x - 24484*x - 296*x**2 + 25 + 48973*x. -296*x**2 + 2 Collect the terms in -46*s - 3*s**2 + 0*s + s + 4*s + 38*s. -3*s**2 - 3*s Collect the terms in 3411*n**2 - 10240*n**2 + n + 3412*n**2 + 3405*n**2. -12*n**2 + n Collect the terms in -808726*z**3 - 2223314*z**3 - 12237*z**3. -3044277*z**3 Collect the terms in 8542*s - 4 - 18*s**2 - 4269*s - 4273*s + 19*s**2. s**2 - 4 Collect the terms in -1696*b - 1624*b + 3320*b - 342*b**2. -342*b**2 Collect the terms in -2067*h**3 + 92*h + 1066*h**3 + 1198*h**3. 197*h**3 + 92*h Collect the terms in 10890 + 11065 - 21955 - 12*h**3 + 32*h**3. 20*h**3 Collect the terms in 31290*o - o**3 + 5 - 16 - 101291*o - 35807*o. -o**3 - 105808*o - 11 Collect the terms in 1800 - 823 - 12*u - 491 - 4*u - 486. -16*u Collect the terms in -2*n**2 + 95 - 223 + 16 - n + n + 112. -2*n**2 Collect the terms in 51*d**3 - 11457*d**3 + 11399*d**3. -7*d**3 Collect the terms in -580*v**3 + v**2 - 12*v**2 + 177*v**3 + 7*v**2 + 6*v**2. -403*v**3 + 2*v**2 Collect the terms in -7542*q - 7138*q + 3 - 4370*q - 1. -19050*q + 2 Collect the terms in -1826*n - 2*n**2 - 1380 - n**2 + 1380 + 1812*n. -3*n**2 - 14*n Collect the terms in 0*m + 10*m + 46*m**2 - 3*m**2 - 44*m**2 - 3*m + 9*m. -m**2 + 16*m Collect the terms in 152 + 10*j - 18*j - j**3 - 3*j. -j**3 - 11*j + 152 Collect the terms in -639*v**2 + 1603*v**2 + 17 - 966*v**2 - 4 + 22. -2*v**2 + 35 Collect the terms in -48811201399484 + 48811201399484 + 6*l**2. 6*l**2 Collect the terms in -1116851*o**2 + 28 - 28. -1116851*o**2 Collect the terms in 15*a + 3*a + 7*a + 165 + 6*a - 160 - 38*a + 10*a. 3*a + 5 Collect the terms in -136 + 2*x**2 - 102*x - 4*x**2 - 4*x**2 + 94*x. -6*x**2 - 8*x - 136 Collect the terms in 14069*b - 54048*b**3 + 14072*b - 28141*b. -54048*b**3 Collect the terms in 3*b**3 - 7*b**3 + 246*b**2 - 229*b**2 + 54 + 5*b**3. b**3 + 17*b**2 + 54 Collect the terms in 33*l + 409*l**3 + 42*l - 75*l - 78*l**3. 331*l**3 Collect the terms in 6386*x + 6389*x - 19159*x + 6384*x + 154*x**2. 154*x**2 Collect the terms in 59*x**3 - 574*x**3 + 1347*x**3 + 611*x**3 + 1553*x**3. 2996*x**3 Collect the terms in b - 59159*b**2 - 102338*b**2 + 5 - b. -161497*b**2 + 5 Collect the terms in -1556133162259 - 3*z**2 + 1556133162259. -3*z**2 Collect the terms in -14950*s**3 - 97567*s**3 - 100386*s**3. -212903*s**3 Collect the terms in 334 + 336 + 57*i - 1006 - 67*i + 337. -10*i + 1 Collect the terms in -23824*x + 23824*x - 80*x**3 + 23
{ "pile_set_name": "DM Mathematics" }
What is the b'th term of -462, -456, -448, -438, -426? b**2 + 3*b - 466 What is the c'th term of 50732, 50741, 50764, 50807, 50876? c**3 + c**2 - c + 50731 What is the p'th term of 1594, 3189, 4784, 6379? 1595*p - 1 What is the j'th term of -2, 0, -4, -20, -54, -112, -200, -324? -j**3 + 3*j**2 - 4 What is the f'th term of 23, 75, 159, 275, 423? 16*f**2 + 4*f + 3 What is the f'th term of 4, 0, -10, -26, -48? -3*f**2 + 5*f + 2 What is the o'th term of -2275, -9111, -20503, -36451? -2278*o**2 - 2*o + 5 What is the q'th term of -2797, -2796, -2795, -2794? q - 2798 What is the o'th term of -89, -91, -91, -89? o**2 - 5*o - 85 What is the c'th term of 0, -13, -40, -87, -160? -c**3 - c**2 - 3*c + 5 What is the z'th term of -108, -128, -146, -162, -176, -188, -198? z**2 - 23*z - 86 What is the a'th term of -83, -77, -71? 6*a - 89 What is the o'th term of 44, 90, 138, 188, 240? o**2 + 43*o What is the n'th term of -447, -448, -449, -450, -451, -452? -n - 446 What is the y'th term of 592, 2379, 5358, 9529? 596*y**2 - y - 3 What is the g'th term of -799, -1604, -2409, -3214? -805*g + 6 What is the i'th term of 43, 45, 49, 55? i**2 - i + 43 What is the i'th term of 2, 211, 780, 1889, 3718, 6447, 10256? 30*i**3 - i - 27 What is the n'th term of 36, 62, 76, 72, 44, -14, -108? -n**3 + 33*n + 4 What is the x'th term of -214, -239, -252, -247, -218, -159? x**3 - 32*x - 183 What is the a'th term of 27556, 55112, 82668? 27556*a What is the s'th term of 239, 478, 717, 956, 1195? 239*s What is the c'th term of -623, -622, -621, -620, -619? c - 624 What is the v'th term of 13, 17, 29, 55, 101, 173, 277, 419? v**3 - 2*v**2 + 3*v + 11 What is the d'th term of -99, -117, -133, -147, -159? d**2 - 21*d - 79 What is the u'th term of 30, 51, 64, 69? -4*u**2 + 33*u + 1 What is the g'th term of -165, -349, -531, -711? g**2 - 187*g + 21 What is the c'th term of 6493, 6516, 6551, 6604, 6681, 6788, 6931, 7116? c**3 + 16*c + 6476 What is the c'th term of -30, -28, -22, -12, 2, 20, 42? 2*c**2 - 4*c - 28 What is the r'th term of 67, 264, 595, 1060, 1659? 67*r**2 - 4*r + 4 What is the p'th term of -13, -14, -5, 20, 67, 142, 251, 400? p**3 - p**2 - 5*p - 8 What is the c'th term of 719, 718, 717, 716, 715? -c + 720 What is the i'th term of -36, -42, -48? -6*i - 30 What is the s'th term of -201, -400, -599, -798, -997? -199*s - 2 What is the w'th term of -98, -96, -94, -92, -90, -88? 2*w - 100 What is the t'th term of -878, -862, -846? 16*t - 894 What is the y'th term of 127, 135, 143, 151, 159? 8*y + 119 What is the q'th term of -7203, -7204, -7205? -q - 7202 What is the a'th term of -39, -154, -345, -612, -955? -38*a**2 - a What is the q'th term of 12, 54, 124, 222? 14*q**2 - 2 What is the j'th term of 7, 19, 41, 73, 115? 5*j**2 - 3*j + 5 What is the u'th term of 130, 129, 128, 127? -u + 131 What is the z'th term of -67, -136, -209, -286, -367? -2*z**2 - 63*z - 2 What is the g'th term of -1938, -3876, -5814? -1938*g What is the b'th term of 34, 60, 86, 112? 26*b + 8 What is the q'th term of -108, -106, -104? 2*q - 110 What is the x'th term of 8, 31, 50, 65, 76? -2*x**2 + 29*x - 19 What is the x'th term of 9, 22, 45, 84, 145? x**3 - x**2 + 9*x What is the k'th term of -35, -11, 21, 67, 133? k**3 - 2*k**2 + 23*k - 57 What is the t'th term of -213, -215, -225, -249, -293, -363, -465? -t**3 + 2*t**2 - t - 213 What is the n'th term of 84, 118, 152? 34*n + 50 What is the v'th term of 485, 488, 491? 3*v + 482 What is the f'th term of -13, -27, -61, -121, -213, -343? -f**3 - 4*f**2 + 5*f - 13 What is the f'th term of -60, -248, -562, -1002, -1568, -2260? -63*f**2 + f + 2 What is the b'th term of -146, -294, -442, -590, -738? -148*b + 2 What is the k'th term of -72, -208, -432, -744, -1144? -44*k**2 - 4*k - 24 What is the u'th term of -83, -101, -119, -137? -18*u - 65 What is the p'th term of 58, 114, 166, 214? -2*p**2 + 62*p - 2 What is the d'th term of 14, 7, -4, -19, -38? -2*d**2 - d + 17 What is the i'th term of 1194, 1193, 1192, 1191, 1190, 1189? -i + 1195 What is the g'th term of -192, -396, -600? -204*g + 12 What is the c'th term of 327, 326, 327, 330, 335, 342, 351? c**2 - 4*c + 330 What is the b'th term of -944, -943, -942, -941, -940, -939? b - 945 What is the n'th term of -55, -123, -203, -295, -399, -515, -643? -6*n**2 - 50*n + 1 What is the b'th term of -119, -114, -109, -104? 5*b - 124 What is the b'th term of -17, -40, -65, -92? -b**2 - 20*b + 4 What is the g'th term of 863, 1726, 2589, 3452, 4315? 863*g What is the l'th term of 4221, 4220, 4219? -l + 4222 What is the k'th term of -7, -17, -41, -85, -155? -k**3 - k**2 - 5 What is the i'th term of 11, 8, 5? -3*i + 14 What is the m'th term of 335, 333, 331, 329, 327, 325? -2*m + 337 What is the f'th term of -245, -495, -747, -1001, -1257? -f**2 - 247*f + 3 What is the u'th term of 210, 421, 632, 843, 1054, 1265? 211*u - 1 What is the y'th term of 69, 98, 177, 330, 581? 4*y**3 + y**2 - 2*y + 66 What is the x'th term of -4, 22, 48, 74, 100? 26*x - 30 What is the d'th term of 959, 3853, 8679, 15437, 24127, 34749, 47303? 966*d**2 - 4*d - 3 What is the i'th term of -89, -114, -157, -218, -297, -394? -9*i**2 + 2*i - 82 What is the p'th term of -122, -498, -1122, -1994? -124*p**2 - 4*p + 6 What is the p'th term of 631, 633, 637, 643, 651, 661, 673? p**2 - p + 631 What is the m'th term of 5980, 5978, 5976, 5974, 5972, 5970? -2*m + 5982 What is the r'th term of 239, 420, 611, 818, 1047, 1304, 1595, 1926? r**3 - r**2 + 177*r + 62 What is the y'th term of -43, -42, -43, -46, -51? -y**2 + 4*y - 46 What is the q'th term of -144, -207, -284, -381, -504, -659, -852? -q**3 - q**2 - 53*q - 89 What is the r'th term of -288, -282, -276, -270, -264? 6*r - 294 What is the d'th term of -12, -32, -52, -72? -20*d + 8 What is the m'th term of 24, 71, 146, 261, 428, 659, 966? 2*m**3 + 2*m**2 + 27*m - 7 What is the x'th term of -1, 12, 47, 116, 231, 404? 2*x**3 - x**2 + 2*x - 4 What is the i'th term of -98, -183, -266, -347, -426, -503? i**2 - 88*i - 11 What is the f'th term of 5001, 10006, 15013, 20022, 25033? f**2 + 5002*f - 2 What is the s'th term of 357, 694, 1017, 1320, 1597, 1842, 2049? -s**3 - s**2 + 347*s + 12 What is the q'th term of -24, 17, 58, 99, 140? 41*q - 65 What is the w'th term of -47, -128, -361, -824, -1595, -2752, -4373? -13*w**3 + 2*w**2 + 4*w - 40 What is the s'th term of -13, -29, -55, -91, -137? -5*s**2 - s - 7 What is the t'th term of -24, -21, -18, -15? 3*t - 27 What is the s'th term of 279, 275, 267, 255, 239? -2*s**2 + 2*s + 279 What is the m'th term of -2293, -4586, -6879, -9172? -2293*m What is the c'th term of 24, 151, 374, 687, 1084, 1559? -c**3 + 54*c**2 - 28*c - 1 What is the s'th term of 26, 43, 48, 35, -2, -69, -172? -s**3 + 24*s + 3 What is the i'th term of -31, -63, -99, -139? -2*i**2 - 26*i - 3 What is the c'th term of 87, 46, -23, -120, -245, -398? -14*c**2 + c + 100 What is the n'th term of -13, -15, -5, 17, 51, 97, 155? 6*n**2 - 20*n + 1 What is the t'th term of 69, 121, 177, 237, 301? 2*t**2 + 46*t + 21 What is the n'th term of 615, 1234, 1853, 2472, 3091, 3710? 619*n - 4 What is the l'th term of -802, -806, -812, -820? -l**2 - l - 800 What is the s'th term of 16, 15, 14? -s + 17 What is the b'th term of -19, -69, -147, -253, -387? -14*b**2 - 8*b + 3 What is the m'th term of 191, 168, 127, 62, -33? -m**3 - 3*m**2 - 7*m + 202 What is the p'th term of -12, -14, -16, -18? -2*p - 10 What is the w'th term of 309, 609, 903, 1191, 1473, 1749, 2019? -3*w**2 + 309*w + 3 What is the k'th term of -274, -286, -314, -364, -442, -554, -706, -904? -k**3 - 2*k**2 + k - 272 What is the f'th term of -6414, -6422, -6442, -6480, -6542, -6634, -6762? -f**3 - f - 6412 What is the t'th term of -3704, -3702, -3700, -3698? 2*t - 3706 What is the w'th term of 26, 35, 44, 53, 62? 9*w + 17 What is the v'th term of 14196, 14198, 14202, 14208, 14216, 14226? v**2 - v + 14196 What is the w'th term of -41, -29, 79, 331, 775, 1459, 2431, 3739? 8*w**3 - 44*w - 5 What is the m'th term of -122, -121, -120, -119, -118? m - 123 What is the b'th term of 53, 103, 153, 203? 50*b + 3 What is the r'th term of -7, -12, -31, -70, -135? -r**3 - r**2 + 5*r - 10 What is the m'th term of 120, 489, 1104, 1965, 3072, 4425, 6024? 123*m**2 - 3 What is the m't
{ "pile_set_name": "DM Mathematics" }
+ 101. Let j be a(-3). Let c(t) be the second derivative of -4*t**j + 0 - 8/3*t**3 - 5/6*t**4 + 17*t - 1/10*t**5. Factor c(s). -2*(s + 1)*(s + 2)**2 Let x = -15956/7 + 16004/7. Suppose 51/7 - 3/7*d**2 - x*d = 0. What is d? -17, 1 Let v(l) be the second derivative of -l**4/4 + 25*l**3 - 864*l**2 - 4*l - 145. Suppose v(i) = 0. Calculate i. 18, 32 Let g(s) be the second derivative of -s**5/35 + 155*s**4/42 + 1283*s**3/21 - 680*s**2/7 + 130*s - 16. Let g(l) = 0. What is l? -8, 1/2, 85 Let y be (133/399)/((-3)/(-36)). Let w(a) be the first derivative of 1/2*a**6 + 0*a**2 + 48/35*a**5 + 0*a + 8 + 3/7*a**y + 0*a**3. Let w(n) = 0. Calculate n. -2, -2/7, 0 Let m be 406/87 - 2/3. Factor -d**4 + 83*d**3 + 12 + d**m - 3*d**5 + 60*d**2 + 45*d - 53*d**3. -3*(d - 4)*(d + 1)**4 Find y, given that 0*y**3 + 1/11*y**4 - 18/11*y - 8/11 - y**2 = 0. -2, -1, 4 Let k be 24/((-1152)/120)*1*(-24)/15. Suppose 3*u + 0*u = -2*i - 6, 5*u = 5*i - 10. What is l in 1/7*l**k + l**3 + i*l + 0 + 0*l**2 = 0? -7, 0 Suppose 0 = 17*u - 54*u + 74. Let q be 880/(-77) + 13 + u/(-2). Factor 0*n + 0 - q*n**2 + 2/7*n**3. 2*n**2*(n - 2)/7 Let -86/13*l**4 - 6 - 476/13*l**2 - 314/13*l - 2/13*l**5 - 324/13*l**3 = 0. What is l? -39, -1 Let k = 4557947/7 + -651053. Let k + 32/7*y**3 + 4/7*y**4 - 384/7*y - 32/7*y**2 = 0. What is y? -6, 2 Let p(c) be the third derivative of -c**8/3192 - 61*c**7/399 - 303*c**6/380 - 907*c**5/570 - 151*c**4/114 + c**2 + 292*c - 6. Let p(n) = 0. What is n? -302, -1, 0 What is x in -85/4 + 64*x + 22*x**3 - 129/2*x**2 - 1/4*x**4 = 0? 1, 85 Let f = 484 - 482. Let 900 + 1929*x**f + 40*x**4 + 9718*x**3 + 35*x**4 + 3*x**5 - 9097*x**3 + 2280*x = 0. Calculate x. -10, -3, -1 What is c in -1956/7*c + 846/7 - 6/7*c**4 + 1368/7*c**2 - 36*c**3 = 0? -47, 1, 3 Let g = -402/79 + 38055/632. Factor 21/4*v + 1/8*v**2 + g. (v + 21)**2/8 Let v(w) = w**3 - 157*w**2 + 172*w. Let o(k) = k**3 + 2*k**2 + k. Let d(f) = -4*o(f) + v(f). Factor d(j). -3*j*(j - 1)*(j + 56) Let c(b) be the second derivative of -1/20*b**5 - 2/9*b**3 - 1/45*b**6 + 1/126*b**7 + 0*b**2 - 99*b + 2/9*b**4 + 0. Factor c(j). j*(j - 2)*(j - 1)**2*(j + 2)/3 Let o be ((-649)/(-2))/((31 - 16)/(-90)). Let g be 4 + 1 - 3009/o. Factor -2/11*h**4 + 168/11*h - g - 122/11*h**2 + 28/11*h**3. -2*(h - 6)**2*(h - 1)**2/11 Suppose -55*h + 9*h = 14*h. Let l(d) be the second derivative of 2*d + 2/3*d**3 + h*d**4 - 1/5*d**5 - 1/15*d**6 + d**2 - 5. Determine a so that l(a) = 0. -1, 1 Let w be (65/(-52))/((5 + 1 + -1)*-1). Let t(y) be the first derivative of 1/8*y**4 - w*y**2 + 9 - 1/12*y**3 + 1/20*y**5 + 0*y. Solve t(q) = 0. -2, -1, 0, 1 Let d be 4 + 4/(-2) + -2. Suppose 4*g = -4*u + 48, 0 = 3*g - d*u + 5*u - 40. Find w, given that 5*w**4 + g*w**3 + 12*w + w**2 - 21*w**2 - 52*w = 0. -2, 0, 2 Let w(p) be the third derivative of -p**6/180 - 13*p**5/90 + 7*p**4/18 - 2*p**2 - 235*p + 14. What is j in w(j) = 0? -14, 0, 1 Let d(l) = 2*l**3 + 6*l**2 - 22*l - 49. Let o be d(-2). Let v(j) be the first derivative of 95/3*j**3 + 65/4*j**4 + 55/2*j**2 + 10*j + 8 + o*j**5. Factor v(p). 5*(p + 1)**2*(p + 2)*(3*p + 1) Let w(d) be the third derivative of 7/300*d**5 + 0*d**3 - 1/120*d**6 + 10*d**2 + 0*d - 1/40*d**4 + 0 + 1/1050*d**7. Find s such that w(s) = 0. 0, 1, 3 What is u in 750*u - 2880 + 5*u**3 + 398*u + 84*u - 32*u - 140*u**2 = 0? 4, 12 Let g(s) be the second derivative of -s**7/21 + 4*s**6/15 + 4*s**5/5 - 7*s**4/3 - 7*s**3/3 + 10*s**2 + s + 773. Find x such that g(x) = 0. -2, -1, 1, 5 Let n(o) be the second derivative of o**4/4 - 206*o**3 + 1230*o**2 - 5650*o. Factor n(g). 3*(g - 410)*(g - 2) Let h = -65160 + 847082/13. Factor 6/13*c**3 + 0 + h*c**4 - 18/13*c**2 + 10/13*c. 2*c*(c - 1)**2*(c + 5)/13 Factor 1/8*c**3 - 115/8*c**2 - 1176 + 434*c. (c - 56)**2*(c - 3)/8 Suppose -13/5*c**2 + 1/5*c**3 + 112/5 + 26/5*c = 0. What is c? -2, 7, 8 Let 26*t + 16*t - 243 - 179*t**4 + 18*t**3 + 92*t**4 + 90*t**4 - 204*t = 0. What is t? -3, 3 Let 97536/5*n - 3/5*n**4 - 49152/5 - 47619/5*n**2 - 762/5*n**3 = 0. What is n? -128, 1 Let n(z) be the second derivative of -z**7/14 - 69*z**6/10 - 918*z**5/5 - 289*z**4 + 1052*z. Factor n(j). -3*j**2*(j + 1)*(j + 34)**2 Suppose 128/3*z + 0 - 4/3*z**3 + 56/3*z**2 = 0. What is z? -2, 0, 16 Let w = -4 - -9. Suppose -2*x + 8 + 25 = -w*a, 4*x - 24 = -4*a. Let -5 + 0 - 5*y**2 - 1 + 2*y**2 - x*y = 0. What is y? -2, -1 Let n(s) = 19*s - 185. Let w be n(11). Determine z so that -14*z**3 - 74*z + w - 58*z**2 - 32 + 10*z = 0. -2, -1/7 Let x be (29 - 29)/(-2 - 3). Let b(n) be the second derivative of x - 1/80*n**5 - 17*n - 3/16*n**4 - 9/8*n**3 - 27/8*n**2. Factor b(w). -(w + 3)**3/4 Let l be (2 - (3 - 4))*(-5)/(-3). Suppose -101*m**4 - 2400*m**2 + 45*m**l - 59*m**4 + 1125*m - 86*m**5 + 46*m**5 + 1430*m**3 = 0. Calculate m. 0, 1, 15 Let r(l) be the first derivative of l**6/72 + 7*l**5/8 - 55*l**4/12 + 70*l**3/3 + 111. Let f(z) be the third derivative of r(z). What is v in f(v) = 0? -22, 1 Let n be (1*-2)/((-105)/(-27) - 4). Let t be (-10)/15 + (-41)/(-3). Find b, given that -n*b**3 + 10*b**2 + 5*b + t*b**3 - 10 + 0*b = 0. -1, 1, 2 Let g(t) = 31*t**2 + 158*t - 165. Let r(j) = 83*j**2 + 475*j - 494. Let q(x) = 16*g(x) - 6*r(x). Determine h, given that q(h) = 0. -162, 1 Let i(b) = -b**3 + 8*b**2 + b - 5. Let t be i(8). Suppose 37*n - 17*n - 2*n**t - 24*n + 6*n**2 = 0. Calculate n. 0, 1, 2 Let d = 935 + -930. Factor d*s**3 - 159*s**2 + 32*s**2 + 33*s**2 + 36*s**2 + 33*s**2. 5*s**2*(s - 5) Let c = -2575 - -2615. Suppose m = -4*g + 159, -4*m + 25 = -2*g + 109. Find a such that -2*a**4 + 4*a**3 - c*a + g*a - 2*a**5 = 0. -2, 0, 1 Factor 4*r**3 + 3*r**3 - 10 - 125*r**2 - 4*r**3 + 135*r**2 - 5*r + 2*r**3. 5*(r - 1)*(r + 1)*(r + 2) Solve 229*s**2 - 60 + 10*s**5 - 642*s**4 - 116*s + 52*s**3 + 781*s**4 + 362*s**3 = 0 for s. -10, -3, -1, -2/5, 1/2 Factor -24*z + 0 - 2/7*z**3 + 40/7*z**2. -2*z*(z - 14)*(z - 6)/7 Let x = 2596 + -2594. Let a(f) be the second derivative of 2/3*f**6 + 0 + 2*f**x - 2*f + 5*f**4 - 13/3*f**3 - 29/10*f**5. Find i, given that a(i) = 0. 2/5, 1/2, 1 Suppose -365409*l - 88 = -365453*l. Let u = -7/15 - -2/3. What is h in -u*h**3 + 0 - 2/5*h - 3/5*h**l = 0? -2, -1, 0 Solve 26/3*i**3 + 214/9*i**2 + 24*i + 8 + 8/9*i**4 = 0 for i. -6, -2, -1, -3/4 Let t = 75001/112503 + 1/112503. Factor -10/3*m**2 + t*m**4 + 8/3 - 2*m + 2*m**3. 2*(m - 1)**2*(m + 1)*(m + 4)/3 Find i, given that -746/7*i + 2/7*i**3 - 374/7 - 370/7*i**2 = 0. -1, 187 Let p be 1 + (-5)/((-90)/46) - 4/(-9). Let t(o) be the third derivative of -1/27*o**3 - 1/216*o**p + 0 + 0*o + 19*o**2 + 1/540*o**5. Solve t(l) = 0 for l. -1, 2 Let o be 300/(-180)*(-4)/(-10)*-3. Let 276*q + 4*q**4 + 36*q**o - 268*q - 48*q**2 = 0. What is q? -2, 0, 1 Suppose 25 = -3*l - 2*v, 7 + 8 = -4*l + v. Let o be (430/(-50) + 1)/(6/l). Factor m**2 - o*m - 14/3. (m - 7)*(3*m + 2)/3 Let t(x) be the first derivative of x**8/448 - x**7/280 - x**6/80 - 45*x**2 - x + 44. Let a(q) be the second derivative of t(q). Suppose a(p) = 0. Calculate p. -1, 0, 2 Let s be (-140)/(-40)*(-6)/(-7). What is l in -l**4 + l + 61*l**3 - 56 + 90*l**2 - 3*l**4 - 11*l**s - 81*l = 0? -2, -1/2, 1, 14 Let p = 218903 + -218900. Find m, given that -44*m + 10285/8*m**4 + 3993/4*m**5 + 357*m**2 + 2 - 1232*m**p = 0. -2, 1/6, 2/11 Factor -321 - 326 - 299 + 2*t**2 + 116*t + 706. 2*(t - 2)*(t + 60) Let z(v) = -v**3 - v**2 - 2*v + 4. Let l be z(0). Let x be 1224/(-748)*(-33)/l. Factor 3/2 - x*a**3 + 9/2*a**2 + 15/2*a. -3*(a - 1)*(3*a + 1)**2/2 Suppose 3*b - 100 = 7*b + 4*k, -b = 3*k + 33. Let s = 23 + b. Let 8/7*a + 6/7*a**s + 2/7 = 0. What is a? -1, -1/3 Let a(x) = 5 - 32*x + x**2 + 5*x**3 + 13*x**2 - 4*x**3 - 1. Let w be a(-16). Factor 25*s**3 - 345*s + 23 + 115*s**2 - 113 + 125*s**w - 470*s**2. 5*(s - 2)*(s + 1)*(5*s + 3)**2 Let a = 117845 - 117842. Factor 0 + 0*n - 4/3*n**5 - 20/3*n**a + 16/3*n**4 + 8/3*n**2. -4*n**2*(n - 2)*(n - 1)**2/3 Suppose 10 + 36 + 2 = 24*v. Let w(j) be the first derivative of 0*j**v + 0*j**3 + 0*j + 3/16*j**4 + 1/20*j**5 + 9. Factor w(q). q**3*(q + 3)/4 Let m(x) be the third derivative of -x**10/7560 + x**9/756 - x**8/420 + x**4/12 - 10*x**3/3 + 40*x**2. Let v(t) be the second derivative of m(t). Factor v(s). -4*s**3*(s - 4)*(s - 1) Let a be ((-54324)/17010 - (-4)/18) + 3. Let y(o) be the first derivative of
{ "pile_set_name": "DM Mathematics" }
is prob of picking 3 w? 2/91 Four letters picked without replacement from yycykkcyccyyckycy. What is prob of picking 1 y, 2 c, and 1 k? 18/119 Four letters picked without replacement from {b: 4, l: 14}. Give prob of picking 4 b. 1/3060 Calculate prob of picking 2 v when two letters picked without replacement from {j: 3, c: 2, r: 1, w: 1, s: 6, v: 2}. 1/105 Calculate prob of picking 1 w and 3 h when four letters picked without replacement from {w: 15, h: 4}. 5/323 Four letters picked without replacement from {b: 7, e: 3, u: 4, l: 1, m: 1}. What is prob of picking 1 u, 1 m, and 2 b? 3/65 What is prob of picking 1 l, 1 a, and 2 h when four letters picked without replacement from {n: 2, a: 4, l: 4, h: 4}? 96/1001 Three letters picked without replacement from eeeeepep. Give prob of picking 1 p and 2 e. 15/28 What is prob of picking 1 a and 1 z when two letters picked without replacement from arraazrrzaaaarazaarz? 4/19 Calculate prob of picking 1 p, 1 x, and 1 t when three letters picked without replacement from {z: 2, p: 3, t: 4, n: 3, x: 6}. 3/34 What is prob of picking 2 a and 1 t when three letters picked without replacement from {a: 7, x: 3, f: 5, t: 4}? 28/323 Calculate prob of picking 1 o and 2 e when three letters picked without replacement from eteneoteo. 1/7 Two letters picked without replacement from {y: 1, n: 2, q: 1, g: 8, j: 6}. What is prob of picking 1 g and 1 j? 16/51 Two letters picked without replacement from iqqjjqcqjicsjjqj. Give prob of picking 1 j and 1 i. 1/10 Two letters picked without replacement from {v: 5, j: 8}. What is prob of picking 2 v? 5/39 Calculate prob of picking 1 x and 1 t when two letters picked without replacement from ttttttttxtttttttxxtt. 51/190 Two letters picked without replacement from nfrku. What is prob of picking 1 f and 1 k? 1/10 Calculate prob of picking 1 i and 1 w when two letters picked without replacement from jjwjwjjjwiwjwwfjwwfw. 9/190 Four letters picked without replacement from {c: 5, o: 7, p: 1, t: 3, u: 2}. What is prob of picking 2 t, 1 c, and 1 p? 1/204 What is prob of picking 2 v when two letters picked without replacement from vpvpvpp? 1/7 What is prob of picking 1 b and 2 f when three letters picked without replacement from ffbjooclbbbo? 1/55 Three letters picked without replacement from {x: 1, c: 2, b: 2, z: 2, t: 1}. Give prob of picking 2 c and 1 z. 1/28 Two letters picked without replacement from {j: 4}. What is prob of picking 2 j? 1 Two letters picked without replacement from gkkkgkkkkgjgkgdk. What is prob of picking 1 d and 1 j? 1/120 Four letters picked without replacement from dttdtdmmdnt. What is prob of picking 3 d and 1 t? 8/165 Four letters picked without replacement from {v: 2, i: 1, b: 3, w: 4}. What is prob of picking 2 v and 2 w? 1/35 Calculate prob of picking 1 j, 2 p, and 1 h when four letters picked without replacement from {j: 7, h: 9, p: 3}. 63/1292 Calculate prob of picking 2 c, 1 v, and 1 p when four letters picked without replacement from {v: 4, f: 1, p: 3, a: 1, c: 4}. 72/715 Two letters picked without replacement from ljzjdzzzaaazzdazaz. Give prob of picking 2 z. 28/153 Three letters picked without replacement from {r: 4, w: 3}. Give prob of picking 1 w and 2 r. 18/35 Four letters picked without replacement from {j: 5, r: 2, g: 2, x: 3}. Give prob of picking 3 x and 1 g. 2/495 Four letters picked without replacement from {m: 7, g: 1, h: 5, t: 3}. What is prob of picking 2 m, 1 g, and 1 h? 3/52 What is prob of picking 1 d, 1 o, and 1 n when three letters picked without replacement from dondooodonnoooddd? 18/85 What is prob of picking 2 l when two letters picked without replacement from {l: 9, w: 3}? 6/11 Calculate prob of picking 1 k and 2 v when three letters picked without replacement from {y: 3, v: 5, f: 3, n: 3, k: 4}. 5/102 What is prob of picking 2 j when two letters picked without replacement from {j: 2, b: 3, w: 6, t: 2}? 1/78 Two letters picked without replacement from {v: 2, t: 1, b: 2, h: 2, q: 4, o: 1}. What is prob of picking 1 b and 1 o? 1/33 Calculate prob of picking 1 l and 1 f when two letters picked without replacement from vphlf. 1/10 Three letters picked without replacement from {c: 4, d: 9, x: 2, v: 1, q: 3}. Give prob of picking 1 q, 1 d, and 1 v. 9/323 Two letters picked without replacement from {d: 1, y: 3, v: 2, k: 4, z: 4}. Give prob of picking 1 v and 1 k. 8/91 Calculate prob of picking 1 f, 1 o, and 1 z when three letters picked without replacement from zpfftzofffjtttt. 2/91 Calculate prob of picking 2 a and 1 f when three letters picked without replacement from yaauuayacf. 1/20 Calculate prob of picking 2 m and 2 o when four letters picked without replacement from mommoom. 18/35 What is prob of picking 1 v, 1 t, and 1 w when three letters picked without replacement from {v: 4, w: 1, u: 7, t: 2, h: 1}? 8/455 Four letters picked without replacement from {k: 7, p: 1, f: 2, e: 2}. What is prob of picking 1 f, 1 p, and 2 e? 2/495 Three letters picked without replacement from yssssyy. What is prob of picking 3 s? 4/35 Two letters picked without replacement from {w: 1, e: 5, c: 1, u: 2, g: 1}. Give prob of picking 1 g and 1 c. 1/45 Calculate prob of picking 2 w when two letters picked without replacement from wwyy. 1/6 Calculate prob of picking 2 q when two letters picked without replacement from laanlaqtqaalq. 1/26 What is prob of picking 4 m when four letters picked without replacement from mmmmmmmmmm? 1 Three letters picked without replacement from {d: 4, t: 3}. What is prob of picking 3 t? 1/35 Three letters picked without replacement from jbttatbbtxbbbbbbx. Give prob of picking 1 a and 2 x. 1/680 Four letters picked without replacement from znzfffzfxfuv. Give prob of picking 1 n, 2 f, and 1 x. 2/99 What is prob of picking 2 t and 1 r when three letters picked without replacement from {t: 2, x: 7, r: 3, f: 3}? 3/455 Calculate prob of picking 2 o and 1 r when three letters picked without replacement from wowowwwwwwrwvvoowwwv. 1/190 Four letters picked without replacement from {h: 5, w: 3}. What is prob of picking 4 h? 1/14 What is prob of picking 1 l and 1 u when two letters picked without replacement from {s: 2, l: 1, u: 1, x: 1, w: 1, j: 1}? 1/21 Calculate prob of picking 3 p when three letters picked without replacement from {p: 10}. 1 Three letters picked without replacement from uruu. What is prob of picking 2 u and 1 r? 3/4 What is prob of picking 1 b and 1 o when two letters picked without replacement from {o: 5, b: 8}? 20/39 What is prob of picking 1 g and 3 f when four letters picked without replacement from {m: 2, q: 11, f: 3, o: 2, g: 1}? 1/3876 Two letters picked without replacement from wwwzuuzzww. Give prob of picking 2 u. 1/45 Three letters picked without replacement from rxrzzrzxdlzzlrxxxzll. What is prob of picking 2 x and 1 z? 1/19 Three letters picked without replacement from {e: 2, k: 2, i: 3, g: 2, s: 2, w: 6}. What is prob of picking 2 s and 1 g? 1/340 Calculate prob of picking 1 y and 1 o when two letters picked without replacement from {y: 4, o: 3}. 4/7 Calculate prob of picking 1 q and 1 l when two letters picked without replacement from qqlqqllqqqqqqqzzlql. 20/57 Four letters picked without replacement from yntlxntxneyty. What is prob of picking 2 x, 1 n, and 1 t? 9/715 Calculate prob of picking 2 g when two letters picked without replacement from {g: 2, x: 2}. 1/6 Two letters picked without replacement from ksakiwa. Give prob of picking 1 a and 1 i. 2/21 What is prob of picking 3 a when three letters picked without replacement from {a: 3}? 1 Two letters picked without replacement from iaia. What is prob of picking 1 a and 1 i? 2/3 What is prob of picking 4 f when four letters picked without replacement from {o: 8, z: 4, f: 4}? 1/1820 Four letters picked without replacement from uuuvusv. What is prob of picking 1 v and 3 u? 8/35 What is prob of picking 1 v, 1 t, and 1 n when three letters picked without replacement from {n: 5, z: 1, v: 2, t: 5, f: 3}? 5/56 Four letters picked without replacement from fzfppzfpfp. Give prob of picking 2 f and 2 z. 1/35 What is prob of picking 1 g, 1 a, and 1 y when three letters picked without replacement from gyyayymymyagmyyymma? 18/323 Three letters picked without replac
{ "pile_set_name": "DM Mathematics" }
-4*a - 23 for a. -2 Let n = -30 + 35. Solve -2*p + 4*k + 14 = 0, -2*p - 4*k + n = k for p. 5 Suppose 5*t - 82 = -62. Solve -x + 4 = 0, 2*p + t*x = 2*x for p. -4 Suppose -3*o + 2*o - 39 = -2*v, -3*o + 63 = 4*v. Suppose 0 = -5*n + v + 7. Solve -2*q + n*m = -7, q + 5*m = -4*q for q. 1 Suppose 0 = -3*g - v - 3*v - 11, -4*g - 6 = v. Let s be g - (-3)/3*1. Solve 0 = b - 2*q + 1, 2*b + 4*q - q - 19 = s for b. 5 Suppose -11*c + 9*c = 30. Let f be 15/(-6)*24/c. Suppose 0*l = 5*l. Solve -5*b - 2*x = l, b - f*x - 22 = -0*x for b. 2 Let u be 6/(-9)*(-180)/8. Let z = -12 + u. Solve 4*i = -z*x + 6*i + 9, 0 = -2*x + 3*i + 1 for x. 5 Suppose 4*q - 2*j = -5*j + 3, 4*q + 2*j - 6 = 0. Let v be -2 + (3 - 1 - -6). Let p be 14/v + (-1)/q. Solve -l = 0, 3*l = p*f - l + 8 for f. -4 Let o = -7 + 4. Let x = o + 18. Solve 4*s - 3*f = -x, -4*s - 4*f - 9 = -f for s. -3 Let m be (0 - -2)*(6 + -3). Let l = m - 3. Let o(h) = -h**2 - h + 2. Let n be o(-2). Solve -j - y = -4*y + 20, n = -4*j + l*y - 35 for j. -5 Suppose -5*b = -4*b + 2. Let q be (3 - 2) + (-6)/b. Solve 2*s - q = -2*s - 2*r, 8 = 2*r for s. -1 Let u(k) = -k**2 - 4*k - 11. Let l be u(-5). Let w = l + 18. Solve w*f + 9 + 0 = -3*v, 0 = -4*v + 2*f + 2 for v. -1 Let z(h) = -h**3 - h**2 - 3*h + 2. Let k be z(0). Solve -3*l - 2*j + 5 = -j, -l + 10 = k*j for l. 0 Let w = -48 + 76. Let r = w - 11. Solve 3*g + r = -4*u + 4*g, 1 = u - 2*g for u. -5 Suppose -5 = -3*q + 13. Let j(t) = t + 9. Let n(y) = y + 10. Let x(d) = q*n(d) - 5*j(d). Let p be x(-10). Solve 15 = p*k, 3*k - 7*k + 7 = -5*c for c. 1 Let q(r) = -17*r - 1. Let a be q(-1). Solve -v = 5*t + 15, -5*t + v = -1 + a for t. -3 Let w be -4 + (-8)/(-12)*-3 + 31. Solve -4*j - 5*f - w = 0, 0*j + 2*j + 15 = -5*f for j. -5 Let u(d) = -d + 1. Let h be u(-3). Let l be (-19)/(-7) - (-6)/21. Solve x + l*x = -2*m - 10, -2*x = h*m - 10 for m. 5 Suppose 9 = 3*b - 0. Suppose -b*x = 2*x. Let d be ((-6)/4 - x)*-6. Solve -3*f = -4*n - 4*f + 15, -2*f = -5*n + d for n. 3 Suppose -g + 3 = 2*g. Let k be (3/(-9))/(g/(-6)). Suppose 0 = 4*h - h - 12. Solve h*a = 16, -k*o - a = 2*a - 10 for o. -1 Let p(o) = -1 - 4*o + o + 0. Suppose 2*r - 4*r - 5*b = 24, -4*b = -2*r + 12. Let q be p(r). Solve 0*x + 10 = x + 2*c, -3*x = q*c - 26 for x. 2 Let n be (-1 + -7 - 1)*(-7 + 6). Solve -w - q - 1 = 4*q, -2*w = -q - n for w. 4 Let g = -3 - -5. Let f(y) = -y**3 + 5*y**2 - 9*y + 16. Let i be f(3). Solve -g*m = x - 13, -3*x = -3*m + m - i for m. 4 Let b(i) = -15*i + 16*i + 2 - 1 + 9. Let h be b(-6). Solve -5*j = 2*d - 23, -h*j = 3*d - 20 - 4 for d. 4 Let w be (61 - 1)/4 + -2. Let u = 15 - w. Solve -5*a - 4 = 2*s, -u*a - s - 2 = a for a. 0 Suppose -2*k = 3*k - r - 118, -2*k + 46 = -r. Solve j + 4*c + 4 = 0, 3*j - 4*c - k = -j for j. 4 Suppose 3 = z - 0. Solve z*s + 6 = s - 2*f, 4*s + 12 = 2*f for s. -3 Let h(t) = -t**3 - t**2 + 8*t + 5. Let k be h(-5). Suppose 0 = 6*d - d - k. Solve 0 = -2*p - 2*p + s - d, 3*p + 3*s - 9 = 0 for p. -2 Let d(h) = -11*h - 4. Let s(c) = -5*c - 2. Let l(k) = 4*d(k) - 9*s(k). Let f be l(2). Solve 4 = 4*r - f*m, -4*r + 9*r - m = 13 for r. 3 Let s(p) = -p**3 - 22*p**2 + p + 26. Let y be s(-22). Solve 2*h = 6*i - 2*i - 14, 4 = -y*h for i. 3 Let c be -4 + 3 + -1 - (4 - 8). Solve 2*u + 15 = -u, -2*b + 12 = -c*u for b. 1 Let d be 2/10 + (-144)/(-30). Suppose d = 3*s - 2*s - 4*v, 2*v + 10 = 2*s. Solve p - 4*j = -p + 6, -2*j = p + s for p. -1 Suppose -4 = 8*u - 44. Solve 3*p - g = -3*g - 12, -u*p = -4*g - 2 for p. -2 Let l be ((-1)/(-1))/((-2)/6). Let j = l - -6. Let r be (28/(-8) + 3)/((-1)/10). Solve -5*h + j*h + r*w - 1 = 0, 3*w - 1 = h for h. 2 Suppose 4*u - 18 = -2*j, 4*u - 17 = -3*j + 6. Let s(w) = 4*w**2 - 2*w - 1. Let k be s(-1). Suppose -t + k = -u. Solve -g + v + 1 = -t, 5*g - 2*v - 31 = 0 for g. 5 Suppose 0 = -3*r - 0*r. Suppose 46 = 2*i - 2*g, 2*i = 6*i - 3*g - 91. Solve 0*a + 3*t - 21 = 3*a, r = -2*a + 4*t - i for a. -3 Let n(r) = -r**2 - 2*r. Let d be n(-4). Let i = d + 12. Solve 3*y - y = -i*h - 6, 3*y + 9 = -4*h for y. -3 Let y(r) = r**2 + 3*r - 1. Let t(s) = 2*s**2 - 2*s. Let g be t(2). Suppose 8 = -3*q - g. Let k be y(q). Solve 0 = -2*w - 5*j, 0*j = -k*w - 2*j for w. 0 Let c be (-1)/((5/3)/5). Let r(v) = -v**3 - v**2 + 3*v - 4. Let h be r(c). Solve -2*l + 6 + 1 = 3*u, -h*l = -25 for u. -1 Let w(k) = k**2 + 5*k + 3. Let b be w(-5). Suppose 0 = -5*i + 7 + b. Solve 0 = -d + g, i = 4*d - 2*d - 3*g for d. -2 Suppose 0 = 3*v - 12 - 0. Solve 3*p + 0 + 6 = -5*k, 3 = 5*p + v*k for p. 3 Suppose -h + 5 + 1 = 0. Let q = h - 4. Let f = 18 - 17. Solve u = -f + q, -w = 5*u for w. -5 Let a = 4 - 10. Let z be 15/a*8/(-10). Solve -5*j + 3*f - z = 0, -2*f - 9 = 4*j - 3 for j. -1 Let t(z) = -10*z - 15. Let q be t(-2). Solve 2*m + 0*m - q = x, 20 = 4*x for m. 5 Suppose -2*z - 14*z = -48. Let a(p) = p. Let w = 8 - 2. Let n be a(w). Solve z*h - 11 = 2*o + n*h, 2*h + 8 = -2*o for o. -1 Let o(u) = u**3 - 11*u**2 - u + 16. Let j be o(11). Solve j*h - 6*h = 5*d + 2, 5*d + 2*h - 1 = 0 for d. -1 Let u be -3 - (2 + 0 + -7). Suppose -2*m + u = -0*m. Solve c = -s, -2*s + 6 = -3*c + m for s. 1 Suppose 30 = 3*q + 3. Solve -3*n - q = -5*x - 2*n, -3*n = 3*x + 9 for x. 1 Let u be 1/(-3) - 10/(-3). Let m = 4 + u. Suppose -32 = -n - n. Solve -z + m = -2*d, -z + 4*d + n + 1 = 0 for z. -3 Let t be (1*-1)/1*-2. Let i = 0 - 2. Let n be (21/i)/((-15)/20). Solve t*a - 3*h + 9 = -2, -2*a = -4*h + n for a. -1 Suppose 2*a = 25 + 7. Solve 0*l + 5*l + g - a = 0, 5*g - 11 = -2*l for l. 3 Let b(y) = 17*y + 1. Let i be b(-1). Let o be (i/20)/(2/(-5)). Suppose -2*h + 8 = o. Solve -5*l = g - 5*g - 27, l + 2*g = -h for l. 3 Let r be (2 - 6/1) + (5 - -1). Solve 0 = 4*n + 2*a - 4, -4*n + a + 6 - r = 0 for n. 1 Suppose 14 = 3*v + 2. Solve -b = 2*p - 5, -3*b + 5 = v*p - 2 for b. -3 Let a = 11 - 6. Suppose z - 4*u = -a, z + u - 13 = -4*u. Let s be 6/z - (2 - 4). Solve 3*d - 2 = 2*r, s*d + 3 = -4*r + r for r. -1 Let x(o) = -o**3 + 4*o**2 - 4*o + 3. Let z be x(2). Suppose 2*v - 25 = -z*v. Solve -v*m - 2*d = -5 - 4, -d - 18 = -5*m for m. 3 Suppose 4*m - 3*p - 5 - 1 = 0, -m = 2*p - 7. Solve -m*o + t + 3 = 4, -t + 1 = 4*o for o. 0 Suppose 3*b = g, -2*g - b + 21 = -0*b. Suppose -5*k = -11 - g. Suppose 0 = -k*q + q. Solve -3*n - 2*n = q, -2*n - 6 = -3*m for m. 2 Let m be (3/(-6))/(1/12). Let a be (m/2 + -2)/(-1). Suppose 4*t = 6*t - a*s - 10, -2 = -t + s. Solve -4*r = -4*c - t*c + 12, -c = -5*r - 3 for r. 0 Let o(w) = w**2 - 2. Let i be o(-2). Solve -n - 2*f + 3 + 1 = 0, -i*n - 3*f = -6 for n. 0 Let t be 42/6 + 6/(-2). Solve 9*u - t*u + 9 = 4*j, 0 = -j + u + 2 for j. 1 Suppose 5*x + 314 = p - 4*p, -4*p - 120 = 2*x. Let c be ((-3)/(-2))/((-6)/x). Solve c = q - 5*m, 16 = -4*m - 0*m for q. -4 Let r(t) = -t**2 - 5*t - 2. Let d be r(-3). Let c = d + 2. Solve y - 18 = -2*o + c*o, -y + 2*o = -8 for y. -2 Suppose -4 = -2*c - 0. Suppose 0 = -c*o - 3*o. Solve a - 4 = -o*a, -2*t = -4*a + 14 for t. 1 Suppose -5*w = -5, 5 = -4*d + 2*w - 1. Let k = 3 - d. Solve 6*i + 18 = 2*i + 2*r, 4*i = -k*r for i. -3 Suppose 8 = -4*s, -79 + 26 = 5*a + 4*s. Let t = -7 - a. Solve 4*w = g + t*g - 11, -3*w - 6 = 0 for g. 1 Let z(f) = f**3 + 8*f**2 + 8*f + 7. Let w be z(-7). Solve 5*d + w*d - 4*x + 36 = 0, -d - 20 = -4*x for d. -4 Let n = -4 - -22. Suppose 4*x - n = 10. Let o(m) = -m**2 - 4*m + 2. Let c be o(-4). Solve -z + c*f + 0 = x, 0 = -z + f - 6 for z. -5 Let k be -2*(2 - 6) - 1. Suppose 0*d = -4*d + 16. Suppose -2*l - 3*t + 15 = l, -t = 5*l - 13. Solve 0 = l*a + 5*n - 18, -n + d*n - k = -5*a for a. -1 Suppose 14*i - 8 = 10*i. Suppose g - 3 = t + i, 0 = 2*g + 5*t + 11. Solve -4*z + g*m - 12 = 0, -4*z - 3*m = 32 - 10 for z. -4 Let q = 10 - -64. Let g = -5 - -7. Suppose 0*a = a - g*z - 12, 5*z = -4*a + q. Solve 0 = -4*v - 5*k - 27 - 8, -2*k = 2*v + a for v. -5 Let q = 4 - 1. Let g(n) = 6*n - 7. Let f be g(2). Solve -6*b - f*l + 3 = -5*b, -q*l = 0 for b. 3 Let a be (2/(-4)*0)/((-44)/22). Solve 0 = -3*p + 5*d - 19, a = d - 1 - 4 for p. 2 Suppose -5*k + 10 = -30. Let p = k + -6. Suppose -n = -5*i + 4*n, 4*i - p = 3*n. Solve -5*l + 4*l - 5*c = -27, -2*l + i*c = 6 for l. 2 Suppose 4*s = 3*s + 14. Solve -p - 5*u = -5, 3*p + 3*u + s = 5 for p. -5 Let c(w) = w**3 - 9*w**2 - w + 11. Let h be c(9). Solve 5*o - 4 = h*s - 3, -5*o = 2*s - 9 for s. 2 Let d be 19 - ((-24)/2)
{ "pile_set_name": "DM Mathematics" }
30? 15336 Calculate the remainder when 18315191 is divided by 50. 41 Calculate the remainder when 22613415 is divided by 161. 160 What is the remainder when 5031945 is divided by 3850? 3845 What is the remainder when 163577 is divided by 435? 17 What is the remainder when 421083 is divided by 17? 10 What is the remainder when 359428 is divided by 4036? 224 Calculate the remainder when 92092 is divided by 1803. 139 What is the remainder when 691110 is divided by 473? 57 What is the remainder when 69755647 is divided by 2525? 2522 Calculate the remainder when 359164 is divided by 1256. 1204 Calculate the remainder when 34269 is divided by 3155. 2719 Calculate the remainder when 1283199 is divided by 61104. 15 Calculate the remainder when 20666 is divided by 1960. 1066 What is the remainder when 1587105 is divided by 423? 9 What is the remainder when 3447017 is divided by 92? 53 Calculate the remainder when 994863 is divided by 943. 941 What is the remainder when 58814 is divided by 11412? 1754 Calculate the remainder when 11945791 is divided by 3986. 3735 Calculate the remainder when 161202 is divided by 8978. 8576 What is the remainder when 3368162 is divided by 1122578? 428 What is the remainder when 11020 is divided by 657? 508 Calculate the remainder when 89818142 is divided by 2366. 50 Calculate the remainder when 87786 is divided by 1025. 661 What is the remainder when 1079396 is divided by 15? 11 What is the remainder when 168991 is divided by 165? 31 What is the remainder when 2314045 is divided by 8? 5 Calculate the remainder when 6292858 is divided by 12. 10 What is the remainder when 3062202 is divided by 3062119? 83 What is the remainder when 22367 is divided by 5582? 39 Calculate the remainder when 84858 is divided by 55. 48 What is the remainder when 134710360 is divided by 26942070? 10 What is the remainder when 58664941 is divided by 262? 259 Calculate the remainder when 5357960 is divided by 2571. 2567 What is the remainder when 228728 is divided by 1186? 1016 What is the remainder when 591579 is divided by 197010? 549 What is the remainder when 6808722 is divided by 1399? 1188 What is the remainder when 340446 is divided by 2467? 0 Calculate the remainder when 257672338 is divided by 5501. 5498 Calculate the remainder when 701649 is divided by 37. 18 Calculate the remainder when 22843518 is divided by 1642. 14 What is the remainder when 9266347 is divided by 129? 19 What is the remainder when 12593475 is divided by 3148367? 7 Calculate the remainder when 236986 is divided by 2846. 768 Calculate the remainder when 278897 is divided by 92934. 95 What is the remainder when 8968853 is divided by 221? 10 Calculate the remainder when 2040928 is divided by 35802. 214 What is the remainder when 3133535 is divided by 13804? 27 What is the remainder when 128012 is divided by 224? 108 What is the remainder when 3014169 is divided by 133? 123 What is the remainder when 25164 is divided by 6285? 24 What is the remainder when 128110280 is divided by 123? 122 Calculate the remainder when 41228688 is divided by 1526988. 12 Calculate the remainder when 118710 is divided by 29658. 78 What is the remainder when 53362 is divided by 26518? 326 What is the remainder when 205826635 is divided by 249? 247 Calculate the remainder when 313364 is divided by 14922. 2 Calculate the remainder when 10498901 is divided by 13. 10 What is the remainder when 31997 is divided by 15648? 701 Calculate the remainder when 2718147 is divided by 906033. 48 What is the remainder when 102526 is divided by 117? 34 Calculate the remainder when 1994496 is divided by 125. 121 Calculate the remainder when 16508581 is divided by 9. 7 What is the remainder when 160694 is divided by 1474? 28 Calculate the remainder when 138783 is divided by 2715. 318 What is the remainder when 192678 is divided by 2406? 198 Calculate the remainder when 223693 is divided by 44725. 68 Calculate the remainder when 81319 is divided by 39040. 3239 What is the remainder when 185721 is divided by 346? 265 What is the remainder when 322041 is divided by 105309? 6114 What is the remainder when 2311851 is divided by 243? 192 Calculate the remainder when 11315508 is divided by 1885911. 42 Calculate the remainder when 60748 is divided by 20073. 529 What is the remainder when 5548387 is divided by 346773? 19 What is the remainder when 1413576 is divided by 542? 40 Calculate the remainder when 16394 is divided by 1987. 498 What is the remainder when 7304589 is divided by 372? 369 Calculate the remainder when 5687965 is divided by 406283. 3 What is the remainder when 3269331 is divided by 2771? 2322 Calculate the remainder when 119876 is divided by 845. 731 Calculate the remainder when 315373 is divided by 16580. 353 Calculate the remainder when 52719 is divided by 182. 121 What is the remainder when 114015 is divided by 2601? 2172 What is the remainder when 8466 is divided by 15? 6 What is the remainder when 128979356 is divided by 79? 6 What is the remainder when 3710 is divided by 3034? 676 Calculate the remainder when 452200 is divided by 1035. 940 Calculate the remainder when 398658 is divided by 1200. 258 Calculate the remainder when 9139710 is divided by 32. 30 What is the remainder when 8182256 is divided by 347? 343 What is the remainder when 70964270 is divided by 1359? 8 Calculate the remainder when 1850285 is divided by 80445. 50 Calculate the remainder when 29644 is divided by 2684. 120 What is the remainder when 384060 is divided by 3556? 12 Calculate the remainder when 5292584 is divided by 98. 94 What is the remainder when 78701 is divided by 2660? 1561 Calculate the remainder when 10661607 is divided by 3959. 20 Calculate the remainder when 27986899 is divided by 346. 343 What is the remainder when 82185 is divided by 81867? 318 What is the remainder when 44301011 is divided by 12? 11 What is the remainder when 1796699 is divided by 4804? 3 Calculate the remainder when 32539 is divided by 4784. 3835 What is the remainder when 24118518 is divided by 3445497? 39 What is the remainder when 1686287 is divided by 5303? 5236 Calculate the remainder when 1019669 is divided by 1242. 1229 What is the remainder when 23094 is divided by 4984? 3158 Calculate the remainder when 511754 is divided by 46208. 3466 What is the remainder when 2381842 is divided by 2381837? 5 What is the remainder when 48112622 is divided by 4811261? 12 What is the remainder when 272943 is divided by 425? 93 What is the remainder when 8073639 is divided by 8814? 15 Calculate the remainder when 2674486 is divided by 878. 98 Calculate the remainder when 4246047 is divided by 28. 15 What is the remainder when 724280 is divided by 65? 50 Calculate the remainder when 22720021 is divided by 13349. 23 What is the remainder when 157699 is divided by 9192? 1435 What is the remainder when 1811282 is divided by 169? 109 Calculate the remainder when 44427505 is divided by 14809161. 22 What is the remainder when 254869 is divided by 52? 17 Calculate the remainder when 44848 is divided by 7473. 10 Calculate the remainder when 1640137 is divided by 7388. 1 What is the remainder when 212282 is divided by 1984? 1978 What is the remainder when 379374 is divided by 2029? 1980 Calculate the remainder when 336804 is divided by 254. 0 What is the remainder when 454163 is divided by 729? 725 What is the remainder when 2142490 is divided by 144? 58 Calculate the remainder when 192944 is divided by 654. 14 What is the remainder when 53005 is divided by 2268? 841 Calculate the remainder when 30044747 is divided by 28. 19 What is the remainder when 79141 is divided by 1173? 550 What is the remainder when 533438169 is divided by 3519? 3516 What is the remainder when 1616612 is divided by 3553? 3550 Calculate the remainder when 6690575 is divided by 5758. 5537 Calculate the remainder when 20104765 is divided by 1318. 1311 What is the remainder when 18439537 is divided by 96542? 15 What is the remainder when 24852914 is divided by 158298? 128 What is the remainder when 26279102 is divided by 903? 899 Calculate the remainder when 6814308 is divided by 70982. 36 What is the remainder when 587747 is divided by 206? 29 Calculate the remainder when 726683 is
{ "pile_set_name": "DM Mathematics" }
)? 497 Let o = 11939/2933067 + 275262610390574/1264151877. Let z = o - 217745. Find the common denominator of z and 89/2. 862 Let i = 90895 + -616086309/6778. Let g = -328729/27112 - i. Find the common denominator of g and -83/20. 40 Let v = -89 - -196. Let z = v + -99. What is the lowest common multiple of z and 3? 24 Calculate the common denominator of ((-50)/12 - -3)*6/432*-14 and 103/396. 2376 Let p = 2900 + -40683/14. Calculate the common denominator of p and -27/11. 154 Let f be (-15 - 0/(-3))/(-2 - -3). Let j = -4 + 6. What is the smallest common multiple of (-36)/f - -1 - j/5 and 6? 6 Find the common denominator of 2/(-16)*(-318)/36*1 and ((-7)/126)/(22/957). 48 Calculate the common denominator of -35/4 and (5838/(-624540))/((-9)/(-15)). 17844 Let b(h) = -31*h**3 - 1206*h**2 + 117*h - 46. Find the common denominator of 41*(-1)/29 + 1 and b(-39). 29 Let x = -48404561/12 + 4036809. Let z be 2/(-20) + 2233512/720. Let a = z - x. What is the common denominator of a and -53/124? 372 Suppose -5*p - 32 + 177 = 0. Suppose -43 - 26 = -3*b. Let m = p - b. What is the lowest common multiple of 3 and m? 6 Let t = 1/15459 + 601183/5153. Let u = t - 983/8. Find the common denominator of u and -13/4. 24 Let c = 271202 + -485993885/1792. What is the common denominator of c and -1/256? 1792 Let r be 10/16*1/16. Let o = 34363907/717696 - 42784/801. Let f = o - r. Find the common denominator of f and -83/2. 14 Let n = -544 - -3817/7. Calculate the common denominator of n and 306/(-68)*1/(252/57) - -1. 56 Let z be 9/6*1160/15. Let c = z - 93. What is the least common multiple of 10 and c? 230 Suppose 10*l + 124 = -26. Let b be 12/9 - 85/l. Let w(i) = 9*i - 56. What is the least common multiple of 73 and w(b)? 511 Let t = 8096/855 + -155/19. Let n = 2699/19190 + 224/505. What is the common denominator of t and n? 1710 Suppose 0 = a, -4*y + 92 = -17*a + 14*a. Calculate the common denominator of y and (3/11 - 1)*4. 11 Suppose -4*o = -3*j - 127, -o + 2*o - j - 31 = 0. Let r(f) = 7*f + 10*f - 20*f + o. Calculate the smallest common multiple of 1 and r(10). 4 Suppose 6*f - 62 = -20. What is the smallest common multiple of f and 288? 2016 Let r be (-12)/7*1365/(-26). Suppose -7*h = -12*h + r. Calculate the common denominator of -3/16 and 73/h + 8/36. 144 Let o = 18163/12 + -1507. Let w = -9983716249/434912118 - 165111/74959. Let l = w - 8/967. Find the common denominator of l and o. 12 Let p be ((-61938)/(-68))/3 - (-36)/(-306). Let z = -2179/7 + p. Find the common denominator of z and 52/9. 126 Let h = 1417907 - 3394469269/2394. Find the common denominator of -29/57 and h. 2394 Let o(c) = 436*c - 21. Let i be o(4). Let u be i/(-15) + 8/(-24). Let d = u - -3011/30. What is the common denominator of -89/10 and d? 30 Suppose 8 - 41 = -m - l, -4*l + 24 = m. What is the least common multiple of 111/(-24) + 5 + 1*2219/56 and m? 360 Let s = 350 - 348. Suppose -2*z + 16 = b, s*b + 5 = 2*z - 5. Let c(x) = -x**2 - 2*x + 1. What is the least common multiple of z and c(-2)? 7 Suppose -4 = -f + 16. Suppose -5*z + 9 = -2*l, -86*z = l - 89*z + 7. Calculate the smallest common multiple of l and f. 40 Let v be 11/((-264)/(-16))*6. Find the common denominator of 107/18 and (-15)/v*1/36. 144 Let x = 37333 - 1119941/30. Find the common denominator of 10/3*96/(-165) and x. 330 Suppose -22 + 172 = 2*d. Suppose -6*t + d = -t. Calculate the common denominator of -3*(-34)/(-27)*1/2 and t. 9 Let t be 572/(5 - (2 - -2)). Let s = t - 552. What is the lowest common multiple of s and 20? 20 Suppose -p - 7*m + 141 = 0, -2*m - 170 = 28*p - 30*p. What is the smallest common multiple of p and 252? 5796 Suppose 2*f = k - 3, -2*k - k + 13 = -2*f. Calculate the least common multiple of -21 - (-51 - (-494)/26) and k. 55 Let v = -32 + 56. Suppose -27*p + v*p = -24. Calculate the least common multiple of p and 158. 632 Let t(h) = -h**3 + 29*h**2 - 28*h + 14. Suppose b = -2*l - 0*b - 3, l - 4*b - 3 = 0. Calculate the smallest common multiple of l/((-8)/76)*2 + 3 and t(28). 154 Let a = 2/3691 + 121783/36910. Let l be (409 - 0)/1*-7. Let d = l - -31549/11. Find the common denominator of d and a. 110 Let m = 6014 + -102185/17. Let b = -1087/120 - 37/24. What is the common denominator of m and b? 85 Suppose -13*s + 18*s - 4*c = 479, c - 499 = -5*s. Calculate the smallest common multiple of 33 and s. 99 Let x = -23 - -39. Let s(z) = z**3 + 18*z**2 - 21*z + 22. Let d be s(-19). What is the lowest common multiple of x and ((-12)/(-5))/(d/400)? 16 Calculate the lowest common multiple of 11 and (-3)/(-1)*(7087/16 - 25/(-400)). 14619 Let m = -20 + 16. What is the least common multiple of 292 + (m - -3) - -3 and 20? 2940 Suppose 13*t - 10*t = -1314. Let h = -1322/3 - t. Calculate the common denominator of h and -67/63. 63 Suppose -5*w - 70 = 2*s, 5*s + 4*w = -165 + 7. What is the lowest common multiple of (-70)/s + 15/9 and 654? 1308 Let w = 431263/18 - 23954. Let q = -5218 - -140860/27. Calculate the common denominator of w and q. 54 Let r = 1638/43 + -1296049/34056. Find the common denominator of r and -49/22. 792 Let g = 21376 - 20888. What is the lowest common multiple of g and 1281? 10248 Let t(g) = g**3 + 36*g**2 + 39*g + 168. Calculate the smallest common multiple of 108 and t(-35). 756 Let s be (2670/(-298) - -9)/(928/93643). Let t = s + -4/4321. Let n = 7851/820 + -45/164. Find the common denominator of n and t. 80 What is the common denominator of (19 + (-40001)/2114)/((-828)/(-14)) and -3/20? 208380 Let s = -630 + 790. What is the common denominator of -4 - 1 - 5/s*152 and -55/28? 28 Let m = 1755 + -1245. Find the common denominator of (-6)/(-80)*-2*1445/m and 52/15. 120 Suppose 2*m = 3*k + 62, 3*m - 113 + 19 = 5*k. Suppose 0 = v - 21 + 9. What is the smallest common multiple of v and m? 84 Let r be (-340)/(-936)*(-165)/19. Let l = -2369227/247 + 9592. Let s = l + r. What is the common denominator of s and -11/98? 294 Let i(t) = 3*t**2 + 20*t + 9. Let d be (11/(55/10))/(1/(-5)). Calculate the lowest common multiple of 8 and i(d). 872 Let t(b) = b**3 - 10*b**2 - 16*b + 4. Let h be t(6). Suppose -5*d + 129 = 2*f, f = -0*f - 5*d + 57. Find the common denominator of (2/(f/h))/1 and -127/12. 36 Let n = 2076 + -529. Calculate the common denominator of (4 - n/234)/((-30)/(-8)) and -57/4. 540 Let i = 23080/11 - 23646/11. Let d = -1867/66 - i. Find the common denominator of d and 49/90. 90 Let n(u) = 2555*u**2 + 9*u + 7. Let s be n(-8). Let h = 29095067/178 - s. Find the common denominator of h and (444/4)/((-24)/3) + 9 + -4. 712 Suppose d = -1, 0*a + 4*a - 4*d = -20. Let r(q) = -34*q - 52. Calculate the lowest common multiple of r(a) and 20. 760 Let j = 13819/10866 + -1309915028/298815. Let w = j + 21891/5. Find the common denominator of 77/20 - (476/(-68) + 36/4) and w. 220 Suppose -x - 6 = 4*b - 58, 0 = x - 4*b - 28. Calculate the smallest common multiple of ((-65)/(-143))/((-92)/(-2024)) and x. 40 Suppose 2*c + 4*b = 360, -b + 61 = c - 124. Let a = 187 + -183. Calculate the least common multiple of c and a. 380 Calculate the common denominator of (-11)/((-2596)/8) - 86218/54516 and 374/(-180) - (-1)/2. 630 Suppose 2*b - 267 = -9*p, 0 = -5*p + 25 + 10. What is the least common multiple of b and 136? 408 Calculate the smallest common multiple of 532 and (-4 + -1 - 63/(-7)) + 136/4. 532 Suppose 0 = 2*i + 4, -3*b + 3188 = -5*i + 23302. Let c = b + 181048/27. Let w = -9/1981 + -215767/35658. Find the common denominator of c and w. 54 Suppose g = -5, -6*t + 9*t - 7*g - 101 = 0. Calculate the least common multiple of t and 25304. 278344 Let w be (44/(-10))/(-3 + 477/6). Let g = w + -61471/35190. What is the common denominator of g and -79/14? 322 Let o = -156357623 - -6880581759/44. Let x = o - 19236. Find the common denominator of x and 133/66. 132 Let w be (-244)/20 - 2/(-10). Let o = 15 + w. Calculate the least common multiple of 4 and (o + 1)/(13/117). 36 Let w = 543 - 2183/4. Let c be (-3)/(-12) - 166/(-8). Calculate the common denominator of w and 21/c + 17/26. 52 What is the common denominator of -115/1302 and (-3)/5 - 90/(-24)*(-8694)/(-48825)? 6510 Suppose -10*h + 672 = 14*h. Suppose h = t - 4*n, -n - 4*n + 91 = 4*t. Calculate the least common multiple of 27 and t. 216 Calculate the lowest common mu
{ "pile_set_name": "DM Mathematics" }
f j(29)? 2, 11 Let u(o) = -12*o + 4. Let p(d) = -17*d + 10. Let j(w) = 18*w - 11. Let s(m) = -5*j(m) - 6*p(m). Let q(n) = -5*s(n) - 6*u(n). What are the prime factors of q(1)? 13 Suppose -5*f - 16*g + 3465 = -14*g, 0 = -3*f - 5*g + 2060. What are the prime factors of f? 5, 139 Let f = -1 + 1. Suppose -d - 3*h + 79 = 0, 0 = h - f*h. List the prime factors of d. 79 Let u = 5 - -4. Let k(v) be the third derivative of v**5/60 - 7*v**4/24 - v**3/3 + 4*v**2. What are the prime factors of k(u)? 2 Suppose -7*h = -3*h. Suppose 3*o = b + 7*o - 85, 4*b - 2*o - 322 = h. What are the prime factors of b? 3 Let f = 126 - 214. Let q = 123 + f. What are the prime factors of q? 5, 7 Suppose 14 = -2*i + 2*n, -n = 4*i + n + 40. Let k = 64 + i. What are the prime factors of k? 5, 11 Let p(z) = 5*z - 58. Let k be p(16). Let j = k - 12. What are the prime factors of j? 2, 5 Let t = 8 - -9. Let v = t - 17. Suppose r + 0*f = 2*f + 14, v = r - f - 9. What are the prime factors of r? 2 Suppose 5*m - 275 = -5*v, 2*v + 245 = 7*v - 5*m. Let k = 118 - v. List the prime factors of k. 2, 3, 11 Let f = 254 - 200. List the prime factors of f. 2, 3 Let f = -7 + 5. Let o(l) = 17*l**2 + 3*l + 1. What are the prime factors of o(f)? 3, 7 Suppose -w + 2 = 0, 0 = -4*g + 5*w + 31 - 101. Let s = g - -17. Suppose s*z - 7*z + 104 = 4*o, -4*o = -5*z - 104. What are the prime factors of o? 2, 13 Let r(u) = -u**2 - 13*u - 18. Let g be r(-10). Let m = 24 + g. List the prime factors of m. 2, 3 Let l(q) = -61*q - 1. Let z be l(-1). Suppose -4*y + z = -92. What are the prime factors of y? 2, 19 Let k = -287 + 1566. List the prime factors of k. 1279 Let y = 3449 - 2190. What are the prime factors of y? 1259 List the prime factors of (-20763)/(-36)*(5/(-3) + 3). 769 Let q be (358/(-3))/((-14)/(-21)) + 4. Let z = 72 - q. List the prime factors of z. 13, 19 Suppose 4*o = 4*t + 28, 5*t + 28 + 2 = 4*o. Let p be ((-144)/(-10))/(t/(-10)). Suppose -7*v - 4*s = -3*v - p, 0 = -v + 2*s + 30. List the prime factors of v. 2, 11 Suppose 0 = -12*h + 3*h + 684. Let z = h + -22. List the prime factors of z. 2, 3 List the prime factors of (-8)/((-15174)/(-1899) - 8). 2, 211 Let x(o) = -7 - o**3 - 3*o**2 - 2*o**2 - 5*o - 2*o + 2*o. What are the prime factors of x(-5)? 2, 3 Suppose -3 - 51 = -6*c. Suppose 0 = c*b - 4*b - 1130. What are the prime factors of b? 2, 113 Let v = -74 - -77. Suppose 114 = -v*z + 6*z. List the prime factors of z. 2, 19 Suppose -o - g + 3 = 0, -3*o + 4*o - 11 = 3*g. Suppose -2*d + o*d - 150 = 0. List the prime factors of d. 2, 5 Let m(d) = 4*d**3 + d**2 - 108*d - 13. List the prime factors of m(11). 2, 1061 Suppose 13*j - 5704 = 5*j. List the prime factors of j. 23, 31 Let b(x) be the third derivative of 3*x**5/5 - 2*x**2. List the prime factors of b(1). 2, 3 Suppose 0 = 5*r - 0*r - 2580. Suppose -3*b = 3*b - r. List the prime factors of b. 2, 43 Let r(m) be the first derivative of 3*m + 4 + 0*m**2 + 1/3*m**3. What are the prime factors of r(-4)? 19 Let j = 67 - 98. Let p = 28 - j. What are the prime factors of p? 59 Let x(s) = -s**3 + 13*s**2 - 2*s - 8. Suppose 13*j - 2 - 154 = 0. What are the prime factors of x(j)? 2, 7 Suppose 7*m + 13 + 29 = 0. List the prime factors of 256/3 - -1*(-4)/m. 2, 43 Let m = 12 + -10. What are the prime factors of 6 + -3 - (-57 + m)? 2, 29 Let j = -1141 - -1635. What are the prime factors of j? 2, 13, 19 Let c(s) = -s + 7. Let b be c(5). Suppose b*p + 12 = 46. Let q = p + -10. List the prime factors of q. 7 Let l = -694 + 1226. List the prime factors of l. 2, 7, 19 What are the prime factors of ((-205)/2 + 2)/((-3)/4)? 2, 67 Let l(g) = -10*g**3 - 2*g**2 - 7*g + 6. List the prime factors of l(-3). 3, 31 Let r(m) = 5 + 9 - 4 + 15*m. List the prime factors of r(3). 5, 11 Suppose -5*w = 5*b - 65, 3*w + 2*b - 24 = 10. Suppose -2*x + 180 = 4*p, -3*x = -2*p - w*x + 98. What are the prime factors of p? 2, 11 Let j(v) be the first derivative of 2*v**3/3 + 6*v**2 + 12*v - 1. Let l be j(-11). Let z = -84 + l. List the prime factors of z. 2, 19 Suppose -6*s + 7753 + 3419 = 0. What are the prime factors of s? 2, 7, 19 Let q(n) = -n**2 - n. Let f be q(2). What are the prime factors of 3/f - 511/(-14)? 2, 3 Let v(a) = a + 10. Let l be v(-7). Let r be 2/(-3) + 23/l. Let h(y) = y**2 - 4*y - 1. What are the prime factors of h(r)? 2, 5 Let a = 376 - 150. What are the prime factors of a? 2, 113 List the prime factors of 9984/182*((7 - 2) + 2). 2, 3 Let p = 44 + -41. Let k = 15 + -10. Let f = k + p. List the prime factors of f. 2 Let q(u) = u + 2. Let f be q(0). Let x = -65 + 86. Suppose 4*l = 5*j - f*j - x, -21 = -3*j + 5*l. List the prime factors of j. 7 Suppose -g = 4*i - 287, -4*g + 1205 = 2*i - 5*i. What are the prime factors of g? 13, 23 Let s = 480 - 339. Suppose 3*y = -0*y + s. List the prime factors of y. 47 Let x = -18 - -19. What are the prime factors of (-2 - x) + (4 - -99)? 2, 5 Suppose 9*p - 8*p + 2 = 0. List the prime factors of (-78)/(3 + (p - 3)). 3, 13 Suppose 2*x = 5*x - 9. Suppose -2*i - i = 2*k - 20, x*k + i - 16 = 0. List the prime factors of 22 + -1 + (3 - k). 2, 5 List the prime factors of 300*(-1)/((-3)/4). 2, 5 Suppose -g + 99 = -657. Suppose 18*z - g = 11*z. What are the prime factors of z? 2, 3 Suppose -2*n - 4*m + 345 = -877, -3*m - 1215 = -2*n. What are the prime factors of n? 3, 7, 29 Let b(w) = 2*w + 14. Let p be b(-6). Suppose 5*d - 3 = -3*v + 3, -3*d + 4 = p*v. Suppose -17 = -g - d. List the prime factors of g. 17 Let d(x) = 4*x**2 + 14*x - 12. Let w be d(-8). Let k = 174 - w. What are the prime factors of k? 2, 3, 7 Let d(o) = -3*o + 5. Let u(z) = -10*z + 15. Let s(k) = -8*d(k) + 3*u(k). What are the prime factors of s(-5)? 5, 7 Let k(r) = 11*r - 229. What are the prime factors of k(29)? 2, 3, 5 Let m be ((-8)/3)/(4/12 + -1). What are the prime factors of 0 - 2 - (-125 - m)? 127 Let n be (-4 - 2)/((-3)/10). Suppose i + 2 = -0*i + 5*m, 5*i + 3*m = 18. Suppose n = i*j - 2*j. List the prime factors of j. 2, 5 List the prime factors of (0 + -9)*(-2016)/54 + 0. 2, 3, 7 What are the prime factors of (1 - -17)/(-5*(-6)/45)? 3 Let c(g) = -g**3 - 10*g**2 + 10*g - 5. Let l be c(-10). Let m = -79 - l. List the prime factors of m. 2, 13 List the prime factors of ((-30)/(-20))/(4/7304). 3, 11, 83 Let s(z) = z**2 + z + 3. Let b(n) = -n**2 + 3*n - 1. Let j be b(5). Let k = 18 + j. List the prime factors of s(k). 59 Suppose -4*h = -682 - 66. List the prime factors of h. 11, 17 Let t = 43 - 15. Let i = 10 - t. What are the prime factors of (-144)/i*(-5)/(-2)? 2, 5 Suppose 0*p - 3*p - 2*b = -309, 2*p = -b + 205. Suppose -4*h = -5*r + p - 982, 0 = 4*r - 12. What are the prime factors of h? 2, 7 Suppose 2*k + 2*t = 36, -2*k - 2*t + 6*t = -36. What are the prime factors of k? 2, 3 List the prime factors of 22/165 + 33356/30. 2, 139 Suppose 4008 = 9*v - 3*v. What are the prime factors of v? 2, 167 Let c = 91 + -4. Suppose -3*d - 4*r + c = 0, -14 = -5*d - r + 131. Suppose 5*n = i + d, 4*n + i = -0*i + 25. What are the prime factors of n? 2, 3 Let s = 885 + -813. What are the prime factors of s? 2, 3 Let m(g) = -g + 22. Let s be m(16). Suppose -o = -s - 49. List the prime factors of o. 5, 11 List the prime factors of ((-426)/(-12) + 0)/((-1)/(-36)). 2, 3, 71 Let t(m) be the first derivative of -5*m**2 + 10. Let f be t(-5). Let l = f + -33. What are the prime factors of l? 17 Let o be -6*(-45 + (-3 - 0)). Suppose -4*y - 5*v = -o, 3*y + 2*v - 146 = y. What are the prime factors of y? 7, 11 List the prime factors of 32/4*(2 + (-2648)/(-16)). 2, 5, 67 Let o(u) = 2*u**3 - 4*u**2 + u - 1. Let c = 4 + -1. Let y be o(c). Suppose 0 = -g - d + y, 9*g = 4*g - 4*d + 105. List the prime factors of g. 5 Let t(h) = h**3 + 5*h**2 - 10*h + 8. Let g be (((-32)/2)/2)/((-12)/6). What are the prime factors of t(g)? 2, 7 Let v(s) = s**2 - 12*s - 3. Let m be v(13). Suppose -5*x + m*x = 20. Suppose -q + 8 = x. List the prime factors of q. 2 Let y = 14 - 10. Let g(d) = d**3 - 4*d**2 - 6*d - 3. Let h be g(5). List the prime factors of h*((-28)/y - -4). 2, 3 Suppose 0 = o + 4*z + 77, 2*z - 3*z + 283 = -3*o. Let g = -21 - o. List the prime factors of g. 2, 3 Let j(k) = -92*k - 212. List the prime factors of j(-12). 2, 223 Let q(v) = -16*v + 4. Let m be q(10). Let t = m + 233. List the prime f
{ "pile_set_name": "DM Mathematics" }
of -2 + 12/(6 + -2) + r? 1 Let t(s) = 136*s**3 - s**2 - 5*s + 6. Let w(o) = 91*o**3 - o**2 - 3*o + 4. Let d(f) = 5*t(f) - 7*w(f). What is the units digit of d(1)? 3 Let r(p) = 89*p - 219. What is the tens digit of r(5)? 2 Let g = -34 + 39. Suppose -c + 72 = h + h, -3*h - g*c + 122 = 0. What is the tens digit of h? 3 Let f(x) = -24*x + 29. Suppose -4 = -n - 2*p - 0*p, 36 = -5*n + 4*p. What is the units digit of f(n)? 5 Let x(j) = -2*j - 2. Let y be x(-2). Suppose 0 = -k + y*k. Suppose k = 3*f - 196 + 37. What is the units digit of f? 3 Let z(d) = 21*d**2 - 3*d + 3. Let b be z(2). What is the tens digit of b + (4 + -2 - -1)? 8 Suppose -5*w + 30 = -2*t, -w + 2*t + 1 = -5. Suppose w*l = 2*l + 8, l + 43 = 3*g. Suppose 39 = 2*c - g. What is the tens digit of c? 2 Suppose 153*f = 95*f + 248646. What is the thousands digit of f? 4 Suppose 14 = -n + 4. Let h be 4/n - 7/(-5). What is the tens digit of (-6 + 7)/(h/14)? 1 Let i(r) be the second derivative of -r**5/20 + 2*r**4/3 + 7*r**3/6 + 5*r**2/2 - r. Let b be 224/(-21)*(-12)/16. What is the tens digit of i(b)? 6 Let c be (-2 + 1)*0/1. Let m be 321/15 + 4/(-10). Suppose 3*h - m = -c*h. What is the units digit of h? 7 Suppose w - 168 = 4*a, -2*a + 771 = 5*w - 69. Suppose -3*l = -w - 564. What is the tens digit of l? 4 Suppose -j - 2*j - 28 = 2*r, 0 = -5*j + 5*r - 5. Let c = j + 6. Suppose 0 = -c*a - 2*a + 6, -139 = -4*p + 3*a. What is the units digit of p? 7 Suppose -r - 3*i + 2823 = -2531, 3*r + 3*i = 16074. What is the units digit of r? 0 Suppose -10*k + 2322 + 1758 = 0. What is the units digit of k? 8 Let i = 4260 + -2513. What is the tens digit of i? 4 Let b = 287 + -135. Suppose 7*j - b = 3*j. What is the tens digit of j? 3 Let f be 3 - (1 + 1 + 1). Suppose w - 10 = -f*w. What is the units digit of 5/w + 1/2? 1 Suppose 169 = 5*s - 376. Suppose -3*d - 77 = -2*w + s, 0 = -5*w. Let x = d - -133. What is the units digit of x? 1 Let i = 2919 + -1999. What is the hundreds digit of i? 9 What is the hundreds digit of (-2582)/(-8) + (-15)/(-60)? 3 Let j(p) be the third derivative of p**6/120 + p**5/10 + p**4/4 + 2*p**3/3 - 11*p**2. What is the tens digit of j(-4)? 1 Suppose v - 7586 = -2*r, 43*r + 5*v = 46*r - 11366. What is the thousands digit of r? 3 Let x = 2349 + -1600. What is the tens digit of x? 4 Let w = 41 - 59. What is the units digit of (-4)/w - (-208)/36? 6 Let g(n) = 2*n + 3. Let q be g(0). Suppose -q*r - 15 = 6. Let k = r + 79. What is the tens digit of k? 7 What is the units digit of -8 - (-299)/39 - (-934)/3? 1 Suppose 2*m = b + 3, 9*m - 5*m = -3*b - 19. Let j(d) = 2 - 56*d - 2. What is the tens digit of j(m)? 5 Let p(y) = 547*y**2 + 4*y + 7. What is the hundreds digit of p(-2)? 1 Let m = -129 + 123. Let g(q) = -2 - 2*q - 4 + 1. What is the units digit of g(m)? 7 Let u be (2/(-5))/(6/90). Let c be (-11)/(-5) + u/30. What is the units digit of -3 - (-21 + -1 + c)? 7 Suppose 0*j - h = -5*j + 330, -20 = 4*h. What is the tens digit of j? 6 Let d = 19 - 34. Let v(q) = -q**2 - 18*q + 4. What is the units digit of v(d)? 9 Suppose -4*p + 3*p + 16 = -4*s, 4*p = 0. Let x be ((-28)/70)/(s/10). Let f = x + 39. What is the tens digit of f? 4 Suppose 11*h - 15*h = -2436. What is the units digit of h? 9 Let j = 11 - 9. Suppose j*t = -2*t + 92. Suppose -4*p + 9 = -t. What is the units digit of p? 8 Suppose -4*p = -2*b - 4458, -4*p + 6494 = 3*b + 2051. What is the units digit of p? 3 Let s(a) = a**3 - 22*a**2 - 60*a - 75. What is the hundreds digit of s(26)? 0 Let r be (-66)/4*32/24. Let c = 0 - r. Suppose 2*k - 3*x - c = 0, 3*k + 2*x - 33 = -2*x. What is the units digit of k? 1 What is the tens digit of -77*39/(-143)*2? 4 Suppose -697*z = -690*z - 10164. What is the tens digit of z? 5 What is the hundreds digit of -2 - (3 + -4)/((-3)/(-4374))? 4 Let j(r) = r**3 + 4*r**2 - 5*r. Let p = 8 + -13. Let u be j(p). Let t(m) = m + 12. What is the units digit of t(u)? 2 What is the hundreds digit of 957 - (-20 + 4)/(-2)? 9 Let j be (-1 + 123 - -3) + -3. Suppose -4*g + j = -5*p, -g - p - 114 = -5*g. Suppose c + g = 3*c. What is the units digit of c? 4 Suppose 2*y - 158 = -5*s, 2*s - 3*y = -2*s + 108. Suppose s*t + 990 = 35*t. What is the hundreds digit of t? 1 Let b(p) = 566*p**2 + 3*p + 4. What is the hundreds digit of b(-1)? 5 Let f(c) be the third derivative of 1/120*c**6 + 0 + 6*c**2 + 0*c - 1/12*c**4 + 1/2*c**3 - 1/15*c**5. What is the tens digit of f(5)? 1 Suppose n - 1469 - 254 = -4*i, i - 428 = -3*n. What is the hundreds digit of i? 4 Suppose k - 5*c = 3383, -5*k + 16963 = 79*c - 80*c. What is the units digit of k? 3 Suppose 5*x + 4*q - 25911 = 0, 0 = -3*x + 4*q + 7601 + 7920. What is the tens digit of x? 7 Let w(u) = 15*u + 5. Let x(z) = -8*z - 3. Let l = -15 - -21. Let q(p) = l*w(p) + 11*x(p). What is the units digit of q(13)? 3 Let q = 5213 - 2212. What is the units digit of q? 1 Suppose -3*i = -2*j + i - 4, 0 = j - 4*i + 8. Let z be (j/6)/(6/45). What is the units digit of (-96)/(-3) + (z - 7)? 0 Let f = -26 + 32. Let w(l) = l**2 - 3*l - 2. What is the units digit of w(f)? 6 Let f(j) = 4*j**3 + j**2 + 9*j - 16. What is the hundreds digit of f(7)? 4 Suppose 4*d - d = 9. Suppose -3*n - 4*u + 442 + 342 = 0, n = d*u + 257. Suppose 29*i - n = 25*i. What is the units digit of i? 5 Suppose 2*h = -2*h - 8. Let q(p) = 4*p**2. Let w be q(h). Suppose 4 = 2*r - w. What is the units digit of r? 0 Suppose 3*v - 194 = 13. Suppose -5*o - 276 = -4*a, o - 3*o = a - v. What is the tens digit of a? 6 Suppose -9*g = 5*g - 2562. What is the hundreds digit of g? 1 Suppose 10*r = 4*r + 4554. What is the hundreds digit of r? 7 Let c = 4 + 998. What is the hundreds digit of c? 0 Suppose 2*l - 752 - 1276 = 0. What is the units digit of l? 4 Let x = 9 + 4. Let i be 0 - 6*(-4)/8. Suppose -b = -4, 5*t + i*b + x - 100 = 0. What is the tens digit of t? 1 Let b(d) = -3*d**3 + 1. Let u be b(1). Let y = 4 + u. Suppose -y*f + 24 = -2*p, f + 2*p + 2*p + 3 = 0. What is the units digit of f? 9 Let o(t) = -2*t**3 + 4*t**2 + 3*t - 6. What is the units digit of o(-3)? 5 Let s = -63 + 124. Suppose 3*n - s = 407. What is the tens digit of n? 5 Suppose -18 = -2*g + 3*p, 2*p - 61 = -5*g - 16. What is the units digit of g? 9 Let r(w) = w**2 + 2*w - 55. What is the tens digit of r(20)? 8 Let j(f) = 5*f - 42. Let n be j(14). Let a = 122 + n. What is the units digit of a? 0 Suppose 42*g - 38*g = 1984. Suppose 4*v - 38 = -5*k + 788, -2*v + g = 3*k. What is the hundreds digit of k? 1 Suppose 17 + 29 = -3*j - 2*i, 5*i = -3*j - 61. What is the units digit of (-465)/j - 3 - 1/(-4)? 6 Suppose i - 59 = -7*j + 3*j, 0 = 4*j - 16. Suppose -i = 3*r - 4. What is the tens digit of -1 + 1 - (-12 + r)? 2 Let v = -494 - -707. What is the units digit of v? 3 Let w(f) = -f**2 + 3*f + 4. Let i be w(4). Suppose -6*l + 3*l + 3 = i, -7 = -3*t + 5*l. What is the tens digit of 54/t*(-2 + 4)? 2 Suppose -3*p - 23 = 2*j, 2*j = 2*p - 2*j + 26. Suppose 48 = 3*o - 0. Let n = p + o. What is the units digit of n? 7 Suppose s = -2*s + 21. Suppose -4*v + t - s = 0, 0 = -2*v - v + 4*t - 15. What is the tens digit of -3 - (v - 2)*7? 1 Suppose 3*h = -2*o + 32, -5*h + 40 = -h + 2*o. Suppose -2*z = -h*z + 1536. Suppose 2*r = -6*r + z. What is the units digit of r? 2 Let l be 3381/12 - 3/4. Suppose -f = 4*f - z - l, -3*f + 159 = -3*z. What is the tens digit of f? 5 Suppose -1162 = -4*f + 2*k, 7*f - k = 3*f + 1161. What is the units digit of f? 0 Suppose 1 + 75 = 4*c + 3*x, -52 = -2*c + 2*x. Let b = c - -27. Suppose b = 2*f + 1. What is the tens digit of f? 2 Let f(i) = -9*i - 9 - 3*i - 8*i**2 + 2*i - i**3. Let x be 36/24*(-28)/6. What is the units digit of f(x)? 2 Let k = 469 - 697. Let s be 7/35 - k/10. Let f = -14 + s. What is the units digit of f? 9 Let l = 58 + -28. Suppose -4*a - a + l = 0. What is the units digit of -2 - -7*(a + -3)? 9 What is the thousands digit of (-4 + 2)/((-10582)/(-1512) - 7)? 1 Let x = 67 - 45. Suppose 0 = 4*y + 24 - 156. What is the units digit of 11/x + y/2? 7 Let p(o) be the second derivative of 1/4*o**4 + 0 - 4*o - 5/2*o**3 + o**2. What is the tens digit of p(6)? 2 Let v(y) = -3*y + 103. What is the units digit of v(24)? 1 Suppose -162 - 108 = -3*c. Let x = c - 32. What is the units digit of x? 8 Suppose 0 = -3*t + 126 - 30. Suppose 2*i - i - t = 0. What i
{ "pile_set_name": "DM Mathematics" }
e Is 165011573 composite? True Is 42488911 prime? True Is 964601 a prime number? False Is 10611343 a composite number? False Is 290111677 prime? True Is 235211 a composite number? False Is 238211 a composite number? True Is 1681669 a prime number? False Is 56896921 composite? True Is 24831751 prime? False Is 3431401 a prime number? True Is 147775079 a prime number? True Is 326840107 a composite number? True Is 165650207 prime? True Is 131392817 composite? False Is 29110645 composite? True Is 14052369 a prime number? False Is 6536122 prime? False Is 9938627 composite? True Is 13592861 a composite number? False Is 12301837 prime? True Is 910001 a composite number? True Is 932357 composite? False Is 2041661 prime? True Is 27952787 a composite number? True Is 550723 a prime number? False Is 3627737 prime? True Is 27383537 a prime number? True Is 330149 a prime number? True Is 71826017 composite? False Is 18370901 composite? False Is 104482591 a prime number? True Is 5231447 composite? 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False Is 20633203 a prime number? False Is 5241839 prime? True Is 1010869 a prime number? False Is 8380597 a prime number? True Is 1346987 a prime number? True Is 1037623 a prime number? False Is 65280269 a prime number? True Is 14189765 a prime number? False Is 668251 composite? True Is 1693 composite? False Is 38619551 prime? True Is 4793963 composite? False Is 56897257 prime? True Is 28880251 a composite number? True Is 10978391 composite? False Is 2878387 a composite number? True Is 5770979 composite? False Is 134671 composite? True Is 8725531 prime? True Is 551515169 prime? False Is 458309 a composite number? False Is 443548663 prime? True Is 6309881 a prime number? False Is 650856629 a composite number? True Is 82194311 a prime number? True Is 84396419 a prime number? True Is 11049033 composite? True Is 2990123 prime? True Is 1259431 composite? True Is 20357635 composite? True Is 79656673 a prime number? True Is 256673 a composite number? True Is 178135919 a composite number? True Is 6845959 a composite number? False Is 1484545 a composite number? True Is 74445101 a prime number? False Is 97222859 a prime number? False Is 592106251 prime? False Is 48115537 prime? False Is 2785539 a prime number? False Is 10049741 prime? False Is 467442257 composite? False Is 2182601 prime? True Is 115800827 a prime number? True Is 106312443 a prime number? False Is 24706609 a prime number? True Is 7374589 a prime number? True Is 25803607 a composite number? False Is 2130691 a composite number? True Is 93058789 a composite number? True Is 110486041 a composite number? True Is 8292293 composite? False Is 57493207 a prime number? True Is 64295491 prime? False Is 2169029 a composite number? False Is 1856593 a composite number? True Is 23590702 composite? True Is 1103917445 a composite number? True Is 60542407 composite? True Is 60082283 a prime number? False Is 9278357 a composite number? True Is 103403 prime? False Is 45450241 composite? False Is 126959113 composite? False Is 403649 prime? True Is 22481191 a prime number? False Is 2654609 a prime number? True Is 17245649 composite? True Is 4391221 composite? False Is 268335749 a composite number? True Is 1204909 composite? True Is 4418719 prime? True Is 100321037 a composite number? False Is 776097151 composite? True Is 4473347 composite? False Is 92244991 a prime number? True Is 74129953 a prime number? True Is 55932361 a composite number? True Is 21768029 a composite number? False Is 21188149 prime? True Is 2681254 a composite number? True Is 57346937 composite? False Is 1914737 a composite number? True Is 6181819 a composite number? True Is 584571259 a composite number? False Is 61388489 a prime number? False Is 3559723 a composite number? True Is 1684489 a prime number? True Is 109523549 a prime number? True Is 342386173 prime? True Is 182187242 a composite number? True Is 2430397 a composite number? False Is 15300637 a prime number? False Is 231425519 composite? True Is 596883799 a prime number? False Is 7744649 composite? True Is 1236161 prime? True Is 5625509 composite? False Is 2154193 a composite number? False Is 1613747 a prime number? False Is 45838985 a composite number? True Is 1697117 a composite number? True Is 703931 composite? True Is 14259733 a composite number? False Is 40396553 composite? False Is 91066 a composite number? True Is 1992183 prime? False Is 9202181 a prime number? False Is 10671053 prime? False Is 14727257 composite? True Is 54040411 prime? True Is 36234403 a composite number? True Is 5277317 composite? True Is 292260493 a prime number? False Is 18523139 a prime number? False Is 189394991 a prime number? True Is 1417997158 a composite number? True Is 23846419 prime? True Is 8363323 a composite number? False Is 4959637 a composite number? False Is 140812355 composite? True Is 323028089 composite? False Is 142293089 composite? False Is 509281907 composite? True Is 7328393 a composite number? True Is 62330111 prime? True Is 133509569 a prime number? False Is 2909791 a prime number? False Is 2913139 a composite number? False Is 36966217 a prime number? True Is 115842359 composite? False Is 21507389 a composite number? False Is 4332143 composite? False Is 32740913 a prime number? False Is 9978407 composite? True Is 3388829 prime? True Is 23455807 a composite number? True Is 21883921 a prime number? True Is 44889407 a prime number? True Is 9462127 composite? False Is 111463847 a prime number? False Is 51515447 composite? False Is 994423 a prime number? False Is 395480257 a prime number? True Is 625153 composite? True Is 4657441 a composite number? False Is 154810801 a composite number? True Is 2029277 composite? False Is 13512461 composite? False Is 468511 composite? True Is 3132889 a prime number? False Is 41061338 a prime number? False Is 424995713 composite? False Is 27500401 a composite number? False Is 385862 a composite number? True Is 16332907 composite? True Is 20025253 a composite number? False Is 40774135 composite? True Is 8482549 composite? False Is 17884621 a composite number? False Is 1427599 prime? True Is 419129 a prime number? False Is 524301014 a composite number? True Is 65787031 a composite number? True Is 12198959 prime? True Is 9340501 a prime number? True Is 107966891 a prime number? False Is 7750063 a prime number? False Is 229202969 a prime number? True Is 182292914 a composite number? True Is 22672939 a prime number? True Is 19895587 a prime number? True Is 21130573 prime? True Is 119159 a prime number? True Is 29010539 prime? True Is 346493 composite? True Is 174926333 composite? False Is 1948623 composite? True Is 2486203 composite? False Is 6640763 composite? True Is 345317 prime? False Is 6717745 a composite number? True Is 30959603 a prime number? True Is 33071287 a prime number? False Is 25476791 a prime number? True Is 42931535 prime? False Is 2514857 a prime number? True Is 47062 composite? True Is 680717 a prime number? False Is 1390573 composite? False Is 47512321 prime? True Is 9514235 a prime number? False Is 159631099 prime? True Is 2222827 composite? True Is 8939017 a composite number? True Is 28671431 a composite number? False Is 9099017 prime? True Is 2064275095 prime? False Is 70455677 composite? Fals
{ "pile_set_name": "DM Mathematics" }
inutes are there between 9:45 AM and 6:57 PM? 552 What is 688 minutes before 2:43 AM? 3:15 PM How many minutes are there between 10:24 PM and 9:27 AM? 663 What is 682 minutes after 4:30 AM? 3:52 PM What is 204 minutes before 10:35 AM? 7:11 AM What is 274 minutes after 11:22 AM? 3:56 PM What is 337 minutes before 6:09 AM? 12:32 AM How many minutes are there between 8:27 PM and 10:09 PM? 102 How many minutes are there between 12:43 AM and 1:39 AM? 56 How many minutes are there between 2:34 AM and 3:34 AM? 60 How many minutes are there between 6:06 AM and 5:26 PM? 680 What is 223 minutes before 5:48 AM? 2:05 AM What is 564 minutes after 10:29 AM? 7:53 PM What is 250 minutes after 1:13 AM? 5:23 AM What is 279 minutes after 5:59 PM? 10:38 PM How many minutes are there between 8:39 PM and 11:34 PM? 175 What is 302 minutes before 6:03 PM? 1:01 PM How many minutes are there between 4:42 AM and 5:30 AM? 48 What is 317 minutes before 2:44 AM? 9:27 PM How many minutes are there between 9:43 AM and 4:28 PM? 405 What is 599 minutes before 6:55 AM? 8:56 PM How many minutes are there between 12:58 AM and 5:37 AM? 279 How many minutes are there between 6:46 AM and 6:13 PM? 687 What is 291 minutes after 4:39 AM? 9:30 AM How many minutes are there between 9:59 AM and 11:49 AM? 110 How many minutes are there between 11:38 AM and 8:51 PM? 553 What is 266 minutes after 8:28 PM? 12:54 AM How many minutes are there between 8:45 PM and 7:57 AM? 672 How many minutes are there between 8:31 PM and 8:43 PM? 12 What is 270 minutes after 2:04 AM? 6:34 AM What is 289 minutes after 7:38 AM? 12:27 PM How many minutes are there between 12:29 PM and 12:13 AM? 704 How many minutes are there between 1:22 PM and 6:46 PM? 324 What is 305 minutes after 12:20 AM? 5:25 AM What is 313 minutes after 3:46 PM? 8:59 PM How many minutes are there between 10:02 PM and 11:13 PM? 71 How many minutes are there between 8:39 PM and 3:23 AM? 404 How many minutes are there between 2:59 AM and 2:00 PM? 661 What is 366 minutes after 11:39 PM? 5:45 AM How many minutes are there between 10:43 AM and 9:46 PM? 663 How many minutes are there between 1:51 PM and 8:04 PM? 373 What is 573 minutes after 5:58 PM? 3:31 AM What is 302 minutes after 8:06 AM? 1:08 PM What is 588 minutes before 3:10 PM? 5:22 AM What is 599 minutes before 12:11 PM? 2:12 AM What is 588 minutes after 10:20 PM? 8:08 AM What is 344 minutes before 3:52 AM? 10:08 PM What is 243 minutes after 6:35 AM? 10:38 AM How many minutes are there between 11:23 AM and 11:09 PM? 706 How many minutes are there between 11:06 PM and 12:48 AM? 102 How many minutes are there between 10:53 AM and 1:05 PM? 132 What is 373 minutes after 9:26 PM? 3:39 AM What is 564 minutes before 5:39 PM? 8:15 AM What is 474 minutes after 3:29 AM? 11:23 AM How many minutes are there between 8:18 AM and 6:04 PM? 586 How many minutes are there between 5:37 PM and 4:38 AM? 661 How many minutes are there between 2:57 PM and 2:51 AM? 714 How many minutes are there between 12:04 AM and 12:24 AM? 20 How many minutes are there between 4:19 PM and 11:23 PM? 424 How many minutes are there between 4:43 AM and 6:51 AM? 128 How many minutes are there between 3:12 PM and 5:47 PM? 155 How many minutes are there between 5:54 AM and 6:00 AM? 6 What is 236 minutes before 5:15 AM? 1:19 AM How many minutes are there between 7:49 AM and 5:30 PM? 581 What is 679 minutes before 4:01 AM? 4:42 PM How many minutes are there between 5:41 AM and 3:32 PM? 591 How many minutes are there between 10:28 AM and 5:47 PM? 439 How many minutes are there between 2:56 PM and 12:43 AM? 587 What is 609 minutes before 9:26 AM? 11:17 PM How many minutes are there between 2:24 AM and 11:37 AM? 553 What is 611 minutes before 8:59 AM? 10:48 PM How many minutes are there between 3:07 AM and 2:07 PM? 660 How many minutes are there between 10:46 PM and 1:50 AM? 184 How many minutes are there between 11:37 PM and 12:54 AM? 77 How many minutes are there between 9:25 AM and 1:38 PM? 253 How many minutes are there between 6:29 PM and 12:41 AM? 372 What is 194 minutes after 10:19 AM? 1:33 PM How many minutes are there between 4:46 AM and 11:31 AM? 405 What is 539 minutes after 7:02 PM? 4:01 AM What is 505 minutes after 4:00 AM? 12:25 PM How many minutes are there between 11:09 AM and 6:05 PM? 416 How many minutes are there between 4:49 PM and 3:07 AM? 618 How many minutes are there between 6:55 PM and 3:11 AM? 496 How many minutes are there between 11:26 AM and 6:50 PM? 444 How many minutes are there between 12:14 AM and 12:20 AM? 6 What is 706 minutes before 4:39 PM? 4:53 AM How many minutes are there between 7:06 AM and 4:47 PM? 581 How many minutes are there between 4:12 AM and 10:38 AM? 386 What is 82 minutes before 1:31 AM? 12:09 AM How many minutes are there between 10:37 AM and 11:15 AM? 38 How many minutes are there between 4:21 AM and 2:16 PM? 595 How many minutes are there between 3:12 AM and 10:11 AM? 419 What is 250 minutes after 11:12 AM? 3:22 PM What is 324 minutes before 2:18 AM? 8:54 PM What is 699 minutes after 4:36 PM? 4:15 AM How many minutes are there between 5:29 AM and 2:41 PM? 552 What is 132 minutes before 10:14 AM? 8:02 AM What is 708 minutes after 1:14 AM? 1:02 PM What is 419 minutes before 1:48 AM? 6:49 PM How many minutes are there between 1:30 AM and 9:57 AM? 507 What is 295 minutes before 8:24 AM? 3:29 AM How many minutes are there between 11:49 PM and 11:43 AM? 714 What is 366 minutes before 1:47 AM? 7:41 PM What is 578 minutes after 2:54 PM? 12:32 AM What is 152 minutes before 4:23 AM? 1:51 AM How many minutes are there between 9:13 PM and 11:28 PM? 135 How many minutes are there between 2:33 PM and 1:04 AM? 631 What is 445 minutes after 7:17 PM? 2:42 AM What is 547 minutes after 5:11 AM? 2:18 PM How many minutes are there between 6:05 PM and 1:09 AM? 424 How many minutes are there between 3:13 AM and 11:35 AM? 502 What is 473 minutes after 4:12 AM? 12:05 PM What is 663 minutes after 9:33 PM? 8:36 AM How many minutes are there between 5:48 AM and 12:44 PM? 416 How many minutes are there between 8:55 AM and 4:37 PM? 462 What is 557 minutes after 4:21 AM? 1:38 PM How many minutes are there between 11:09 PM and 1:59 AM? 170 What is 264 minutes before 8:36 PM? 4:12 PM How many minutes are there between 3:55 AM and 2:13 PM? 618 What is 693 minutes after 5:33 AM? 5:06 PM What is 581 minutes before 3:15 PM? 5:34 AM How many minutes are there between 5:45 AM and 3:03 PM? 558 How many minutes are there between 5:54 PM and 12:40 AM? 406 What is 524 minutes after 6:54 PM? 3:38 AM What is 202 minutes after 10:23 AM? 1:45 PM How many minutes are there between 6:24 AM and 12:17 PM? 353 How many minutes are there between 8:16 AM and 8:20 AM? 4 What is 704 minutes after 9:01 AM? 8:45 PM What is 217 minutes after 2:58 PM? 6:35 PM How many minutes are there between 11:22 PM and 10:03 AM? 641 What is 538 minutes after 10:58 PM? 7:56 AM How many minutes are there between 5:20 PM and 5:31 PM? 11 How many minutes are there between 10:51 AM and 4:36 PM? 345 How many minutes are there between 8:09 PM and 2:02 AM? 353 What is 646 minutes after 11:20 PM? 10:06 AM How many minutes are there between 6:00 PM and 2:40 AM? 520 What is 410 minutes after 9:36 AM? 4:26 PM How many minutes are there between 6:17 PM and 10:31 PM? 254 How many minutes are there between 12:56 PM and 1:50 PM? 54 What is 646 minutes after 9:55 PM? 8:41 AM How many minutes are there between 2:45 AM and 8:09 AM? 324 How many minutes are there between 6:58 PM and 11:41 PM? 283 What is 126 minutes after 7:43 AM? 9:49 AM How many minutes are there between 6:51 AM and 2:41 PM? 470 How many minutes are there between 1:21 AM and 6:58 AM? 337 What is 420 minutes before 12:51 PM? 5:51 AM How many minutes are there between 11:02 AM and 1:10 PM? 128 What is 126 minutes before 6:16 PM? 4:10 PM How many minutes are there between 9:13 AM and 12:50 PM? 217 What is 101 minutes after 10:58 PM? 12:39 AM What is 265 minutes before 3:26 AM? 11:01 PM How many minutes are there between 10:48 AM and 2:12 PM? 204 How many minutes are there between 6:22 PM and 3:14 AM? 532 How many minutes are there between 7:57 AM and 12:10 PM? 253 How many minutes are there between 12:00
{ "pile_set_name": "DM Mathematics" }
+ 4 + 1)*(0*k**2 - 2*k**2 + 3*k**2))*(3 - 3 + 5*k). -20*k**3 Expand (-1 - 906 + 185)*(-1 - y + 1). 722*y Expand (-141*d + 5*d - 129*d)*(-3*d**2 - 5 + 5). 795*d**3 Expand (1 - 1 + l)*(-l**2 + 2*l**2 - 3*l**2) + (9 - 7*l**2 - 9)*(-3 + 3 + 4*l). -30*l**3 Expand (1 + 0 - 2)*(-2 + 2 + 2*j**4) + 7*j + 7*j**4 - 7*j - 4*j**4 - 4*j**4 - 8*j**4 + (-4*j**3 + 4*j**3 + j**3)*(0*j + 4*j - 3*j) - 2*j**4 + 5*j**4 - 2*j**4. -9*j**4 Expand (0 + 0 + 2*b)*(133 - 75 - 96)*(0 + 1 + 2). -228*b Expand 2*s**2 - 3*s**2 - s**4 + 2*s**4 + (-25*s**3 - 2*s**2 + 2*s**2)*(2 + 3*s - 2). -74*s**4 - s**2 Expand 79*a**4 + 252*a**4 - 57*a**4 + (a**3 + 0*a**3 - 3*a**3)*(5*a + a - 5*a) - 2*a**4 - 2 + 2. 270*a**4 Expand 5*c**2 - c**2 - 2*c**2 + (c - 2 + 2)*(6*c - 2*c - 2*c) + (2*c + 0 + 0)*(-2*c - 3*c + 0*c) - 5*c**2 - 4*c**2 + 14*c**2. -c**2 Expand 2*a**5 - 2*a**5 - 4*a**5 + (-7*a**3 + 0*a**3 + 4*a**3)*(-10*a**2 - 4*a**2 + 0*a**2) + 3 - a**5 - 3. 37*a**5 Expand -1 - 1 + 13*v - 14*v + (1 + 1 + 1 + (-3 + 5 + 0)*(0 + 1 + 1))*((-3 + 2 + 2)*(-8*v - 5*v + 3*v) + 0*v + 5*v - 4*v). -64*v - 2 Expand (4*t - t - 4*t)*(-t**2 + 3*t**2 + 0*t**2) - 2*t**3 + 3*t**3 + 0*t**3 + (t**2 + 3*t - 3*t)*(-2*t + 0*t + t) - 2*t**2 - 237*t**3 - 266*t**3 + 425*t**3. -80*t**3 - 2*t**2 Expand ((3 - 2 - 5)*(-2*w - w + 4*w) + (-2*w + 2*w + 2*w)*(-1 - 3 + 2) - 5*w + 3*w + 0*w)*(2*w + 83 - 83). -20*w**2 Expand (-5*v + 3*v + v)*(-25*v + 25*v - 9*v**2 + 1) - 9*v**3 + 9*v**3 + 23*v**3. 32*v**3 - v Expand h + 3*h**2 - h + (-5*h + 3*h + 4*h)*(2*h + 2*h + 0*h) + 3*h**2 + 5 - 14*h**2 + 3*h + 9*h**2. 9*h**2 + 3*h + 5 Expand 0*u + 12*u**3 + 0*u + (2*u - 3 + 3)*(-2*u**2 + 0*u**2 + u**2) + 3*u**3 + 2*u**3 - 6*u**3 + 3*u**3 - 3*u**3 - u**3 - u**3 - u**3 + 3*u**3. 9*u**3 Expand (-5*c + 2*c + c)*(1 + 3 - 3)*(34 + 49 - 16). -134*c Expand (1 + 1 - 1)*(-3*y**3 + 3*y**3 - 2*y**3) - 2*y**3 - 4*y + 4*y + 5*y**2 - y**2 - 2*y**3 - 5*y**2. -6*y**3 - y**2 Expand -3*j**2 - 22*j**2 - 21*j**2 + 3 - 3 - 2*j**2 + 0*j**2 - 2*j**2 + j**2 + (-4*j**2 + 0*j**2 + 2*j**2)*(-1 - 1 + 0) + (-2 + 3 - 3)*(2*j**2 - 2 + 2). -49*j**2 Expand (4*z**2 - 3*z**2 - 2*z**2)*(10 + 3 - 19) + 2*z**2 + 1 - 1 - z**2 - 2*z**2 + 4*z**2. 9*z**2 Expand (-2*h**3 + 3*h**3 + 0*h**3)*(23*h - 22*h - 21*h) + (2*h**3 - h**3 + h**3)*(-2 + 2 - 3*h) + (h**3 + 2*h - 2*h)*(0*h - 3*h + 5*h) + h**4 + 4*h - 4*h. -23*h**4 Expand ((1 + a - 1)*(-1 + 1 - 2) + 23*a + 5*a - 16*a - 3*a + 0*a + a)*(-a**3 - 2*a**3 + a**3). -16*a**4 Expand (-g + 1 - 1)*(-471*g**3 - 122*g**3 - 34*g**3). 627*g**4 Expand (13 + 26 - 30)*(-1 + 1 - 3*g**2)*(-1 - 2 + 2). 27*g**2 Expand (0*v - 3*v - v)*(-4 + 3 + 2)*(17 - 17 - 7*v + (0 - 2 + 3)*(2*v + 2*v - 3*v)). 24*v**2 Expand (-2 + 2*i**2 + 2)*(-1 + 1 + i**3) + (5*i + 2*i**2 - 5*i)*(-4*i**3 - i + i) - i**5 - 3*i**5 + 6*i**3 - 7*i**3. -10*i**5 - i**3 Expand -17 - 9 + 29 - 38*x + (4 - 5 + 2)*(1 - 1 + x). -37*x + 3 Expand (-2 - 2*o + 2 + 3*o - 3*o + o + (-3*o + o + 4*o)*(0 + 3 - 2))*(4 + 0 + 5) + 23*o - 30*o + 14*o. 16*o Expand 0 - u + 0 + (2 - 71 - 5)*(-7*u - 6 + 6). 517*u Expand (3*u - 2*u - 2*u)*(-3*u**2 - 36*u**2 - 12*u**2)*(u - 6*u + 3*u). -102*u**4 Expand (-2*n - 5*n + 4*n)*(1 - 3 - 3) + n + 5*n + 0*n. 21*n Expand (-1 - 2*q + 1)*(-11*q - 23*q + q) - 2*q - q**2 + 2*q. 65*q**2 Expand (3*z + 0*z - 5*z)*(-17*z**2 - 21*z**2 + 7*z**2)*((3 - 5 + 10)*(-2 + 3 + 0) + 4 - 3 - 4). 310*z**3 Expand (-7*n + 1931 - 121*n - 1933)*(-3*n**4 + 2*n**4 + 2*n**4) - n**5 - 2*n**5 + 4*n**5. -127*n**5 - 2*n**4 Expand (x + 6*x - 2*x)*(x - 4*x + 2*x) - 4*x + 4*x + 29*x**2 + (-4*x + x + 5*x)*(x - 3*x + x). 22*x**2 Expand (4*z + 9 - 9)*(0*z + 7*z + 21*z). 112*z**2 Expand ((3 + 3 - 5)*(-1 + 0 + 0) + 4 - 4 + 2 + 9 - 3 - 2 + 18 - 11 + 20)*(2*f**2 + 0*f**2 - 4*f**2). -64*f**2 Expand (5 - 2 - 2)*(1 + 6 - 4)*(29*x**3 - 29*x**3 + 10*x**4). 30*x**4 Expand (a + 2 - 2)*(1 - 2 + 3)*(2*a - 2*a - a) - 130 + 36*a**2 + 130 - a**2 + 2*a**2 + a**2 - 2*a**2 + 5*a**2 - a**2 + (-a + 2 - 2)*(3*a - 2*a - 2*a). 39*a**2 Expand (-6130 - 345*d + 6130)*(-4*d**2 + 5*d**2 + d**2). -690*d**3 Expand (p + 4*p - 4*p)*(2*p + 0 + 0) + p**2 - 2 + 2 - 3 + 3 - p**2 + 2*p**2 - 4 + 4 + 17 - 4*p**2 - 17 + (3*p - 3*p + 5*p)*(-3*p + 0*p - p). -20*p**2 Expand (-1 + 5 - 2)*((0 + 1 + 0)*(4*b - 3*b - 2*b) + 0 + 0 - 3*b - b + 0*b + 0*b)*(4 + 2 - 2). -40*b Expand (2*a - 3 + 3)*(a - a**2 - a) + ((-4 + 4 + 2*a**2)*(-a + 2*a + 0*a) - 26*a**3 + 1368 - 1368)*(-4 - 1 + 6). -26*a**3 Expand (-1 + d**3 + 1)*(17*d + 36 - 2*d - 10*d). 5*d**4 + 36*d**3 Expand (-6 + 541*k**2 + 529*k**2 - 1092*k**2)*(4*k + 0*k - 3*k). -22*k**3 - 6*k Expand (-6*i**2 + 5*i - 5*i)*(2 - 2 + 2)*(0 + 0 + 2)*(0*i**3 - 6*i**3 + 3*i**3). 72*i**5 Expand (3*i + 0*i - 4*i)*(23 - 9 - 8)*(-7 - 11 - 1). 114*i Expand (2*y**2 - 5*y**2 + y**2)*(-456719 - 99*y + 456719) + 5*y**3 - 3*y**3 + 0*y**3. 200*y**3 Expand (3*a + 0*a - 5*a)*((1 - a - 1)*(3 - 4 - 1) + (1 - 7 - 2)*(a - 2 + 2) - 5 + 4*a + 5). 4*a**2 Expand -234*l - 130*l**2 + 234*l + (3 - 3 + 2)*(-l**2 - 3*l**2 + 2*l**2) + 2*l**2 + 2*l - 2*l. -132*l**2 Expand (0*o**4 + 0*o**4 + 2*o**4)*(2 - 3 + 0) - 3*o**4 - 3*o**4 + 5*o**4 + 2187*o**2 + 5*o**4 - 2187*o**2 + (2 + 1 - 1)*(0*o**2 + o**4 + 0*o**2). 4*o**4 Expand (4*w**2 - 4*w**2 - 2*w**4 + (-2*w**4 + 0*w**2 + 0*w**2)*(4 - 2 - 1) + 0 + w**4 + 0 + w**4 + 0*w**4 - 2*w**4)*(0 + 1 - 2). 4*w**4 Expand (2 - 2 - 2*m)*(4 - 1 - 4) + 2 - 2 + 2*m + (0 - 1 - 2)*(-2*m - 7*m - 9*m) - 2*m - m + m. 56*m Expand (-3*n**2 + 2*n**2 + 3*n - n**2)*(0*n**2 - 6*n**2 - 4*n**2). 20*n**4 - 30*n**3 Expand (-118*u**3 - 45*u**3 + 34*u**3)*(0 - 3 + 5). -258*u**3 Expand (5 - 4 + 0)*(5*f**2 + 2*f**3 - 5*f**2)*(2*f - 7*f + 3*f + (-2*f - 2 + 2)*(-5 + 4 + 8) - 3*f + 2*f + 3*f + 2*f + 3*f - 2*f). -22*f**4 Expand (-2*u**5 + 5*u**3 - 5*u**3)*(2 + 0 - 4) + 2*u**5 - u**5 - 3*u**5 + (-1 - 19*u**3 + 1)*(0*u**2 + 5*u**2 - 3*u**2) + u**5 + 3*u**5 - u**5. -33*u**5 Expand (0*b - 2*b + 4*b)*(12 + 31*b**2 - 29*b**2 + 16) - 3*b + b**3 + 3*b + (0*b + 0*b - 2*b**2)*(-3 + 3 - b). 7*b**3 + 56*b Expand (1 + 4 - 6 - 4*n)*(0*n**2 + 4*n**2 + 7*n**2) - 4*n**3 + 0 - 2 + 0. -48*n**3 - 11*n**2 - 2 Expand -13*s**4 + 27*s**4 + 2*s**4 + (3*s**3 + s**3 - 5*s**3)*(3*s - 7*s + 2*s) - 4*s**4 + s**4 - 2*s**4. 13*s**4 Expand -4*d + 4*d - d + 2 + (3 - 3 - d)*(0 - 5 + 3) + 3*d + 7*d + 39*d. 50*d + 2 Expand (k**4 + 1 - 1)*(-4*k + k + 5*k) + (-11*k**2 - 26*k + 2*k**2 + 8*k**2)*(111*k - 111*k - 8*k**3). 10*k**5 + 208*k**4 Expand (-1 + 1 - y**2)*(-30 + 4 - 31). 57*y**2 Expand (1 + 2 - 2 + (-3 + 5 + 0)*(-30 - 11 + 51))*(2*n - n + n). 42*n Expand (3*l - 4*l + 14 - 4)*(-3 - 2 + 4)*(2 + 2*l - 2). 2*l**2 - 20*l Expand (-2*s + 10*s + 5*s)*(s - s - s)*(-4 - s + 4 + 4). 13*s**3 - 52*s**2 Expand (2*d**3 - 2*d**3 + d**3)*(d**2 + 3*d**2 + 2*d**2)*(8 - 16 + 50). 252*d**5 Expand (-2*v**2 - 39 - 39 + 80 - 5*v)*(5*v**3 + 0*v**3 - v**3). -8*v**5 - 20*v**4 + 8*v**3 Expand (3 - 3 + 2)*(-55*l + 20*l - 20*l)*(4*l - 2*l + 0*l). -220*l**2 Expand (29*n**2 - 15*n**2 - 15*n**2 - 4*n)*(-8*n**3 + 3*n**3 - n**3). 6*n**5 + 24*n**4 Expand (2*t + 2*t - 2*t - 1 + 2*t + 1 + (-t + t - t)*(-2 + 0 + 1) - t - 4*t + 3*t - 5*t + t + 2*t + 2*t + 0*t + 0*t - 5*t + 5*t + 3*t)*(-3 + 10*t - 26*t - 5*t). -126*t**2 - 18*t Expand (-2 + o + 2)*(59 + 25 + 39) + o - 3*o + 0*o. 121*o Expand (-3 + 3 - a)*(-17*a**2 - 32*a**2 - 14*a**2) + a**3 - 3*a**3 + 4*a**3 + (0*a**2 + 5*a**2 - 4*a**2)*(-3*a + 2*a - 2*a). 62*a**3 Expand -2*u**5 + 100 + 4*u**5 - 7 + 39 + (-u - 2 + 2)*(-3*u**4 + 3*u**4 - 2*u**4). 4*u**5 + 132 Expand (0 + 0 + 3)*(-17*j + 85 - 85)*(2*j - 2 + 2). -102*j**2 Expand (2*k - k + 0*k)*(-6 + 2 + 3)*((-5 - 2*k + 5)*(2 - 4 + 3) + (5 - 4 - 4)*(2*k + k + 3*k)). 20*k**2 Expand (4*i - i - 2*i)*(-2 - 4 - 1) - 3 + 3 + 3*i + (-4 + 4 + 1)*(-2 - 2*i + 2) - 3*i - 2 + 2. -9*i Expand 10*o**5 - 294*o + 142*o + 144*o + (0*o**3 + 0*o**3 - o**4)*(2*o + 2*o - 5*o). 11*o**5 - 8*o Expand (447 - 447 + 36*z**5)*(2 - 9 + 0). -252*z**5 Expand (j**4 + 2*j**4 + 0*j**4)*(-2*j + j + 3*j) + (3 - 7 + 1)*(j - 2*j - 2*j)*(1 - 1 - 2*j**4) + (-2 + 4 - 1)*(-j**2 + 2*j**5 + j**2). -10*j**5 Expand (-2 + 2 - q**4)*(1739 + 131*q - 1739) + (0*q + 2*q - 3*q)*(4*q**4 - 5*q**4 + 3*q**4) - q**5 - 3*q + 3*q. -134*q**5 Expand (2*a**2 + 26*a - 26*a - 15*a**3)*(1 - 1 - 8*a**2 + (5*a**2 + 0*a**2 - 4*a**2)*(5 - 2 - 1)). 90*a**5 - 12*a**4 Expand (0 + u + 0)*(1
{ "pile_set_name": "DM Mathematics" }
mainder when 5*5 - (15 - 16) is divided by 9? 8 Let a(i) = -5*i. What is the remainder when a(-3) is divided by 4? 3 Let g be 2/(-2) + (3 - 3). Let w be 1/(1 + g/2). Let r(a) = 9*a**2 + 2*a. What is the remainder when r(w) is divided by 14? 12 Suppose 0 = v - 6*v + 10. Let g = -5 + 5. Let d = v - g. Calculate the remainder when d is divided by 1. 0 Suppose 6*d - 9*d + 399 = -3*m, -2*d - 2*m = -262. Calculate the remainder when d is divided by 34. 30 Let m be (0 - 1)/(2/(-4)). Let z be (-1)/((-2)/m) - -26. Suppose 5*t - 157 + z = 0. Calculate the remainder when t is divided by 9. 8 Let i = 14 + -6. Suppose -3*m = -i*m + 125. Calculate the remainder when m is divided by 14. 11 Let q(x) = x**2 - 3*x + 9. Suppose 3*i = 5 + 1. Let g(s) = 2*s**2 + 3*s - 1. What is the remainder when q(8) is divided by g(i)? 10 Suppose 5*u + 0*u + 5 = 0. What is the remainder when (u - (0 + 32))*-1 is divided by 12? 9 Suppose -2*c - 2 = -6. What is the remainder when ((-47)/c)/(-1)*2 is divided by ((-16)/(-10))/((-17)/(-255))? 23 Let k(q) = -q**3 + 4*q**2 - 2*q - 1. Let f be 16/10 + 6/15. Suppose f*y - 7 = 1. Calculate the remainder when y is divided by k(3). 0 Suppose 25 - 7 = 2*a. Suppose -a*o + 255 = -4*o. Suppose 3*l = 2*k + 80, 3*l - 41 - 32 = -5*k. Calculate the remainder when o is divided by l. 25 Let i(r) = 38*r - 42. Calculate the remainder when i(7) is divided by 25. 24 Let r = -12 + 23. Calculate the remainder when -2 - -2*1 - -21 is divided by r. 10 What is the remainder when 252 is divided by 10*12/(-40)*-5? 12 Suppose a = f + 4, -4*f - 5*a = -5*f + 4. Let r = f - -6. Suppose 4*k - 4 - 24 = r. Calculate the remainder when 19 is divided by k. 5 Let a = -10 + 11. What is the remainder when (9/(-6) + a)*-74 is divided by 19? 18 Suppose 3*r - 4*z - 30 = 0, -3*z = 5*r + z - 18. Calculate the remainder when r is divided by 5. 1 Suppose -9*u = -4*u - 15. Calculate the remainder when 5 is divided by u. 2 Let j(d) = -d + 8. What is the remainder when 45 is divided by j(-5)? 6 Let k(m) = -m**3 + 6*m**2 - m + 8. Let p be k(6). Let w(l) = l**2 + 2. Let q(x) = x**3 - 2*x**2 - 2*x + 1. Calculate the remainder when w(p) is divided by q(3). 2 Suppose -4*r + 4 = -8. Let h = r - -4. Suppose 5*v - y + 8 - 63 = 0, -4*v - 4*y = -68. Calculate the remainder when v is divided by h. 5 Suppose 0 = -5*r + 425 + 265. Suppose z + r = 4*z. What is the remainder when z is divided by 16? 14 Suppose -5*n - 2*s + 118 = 0, 2*n - 15 - 37 = -2*s. Suppose -67 = -2*o - 7. Let y = 34 + o. What is the remainder when y is divided by n? 20 Calculate the remainder when (-105)/(-28)*(49/3 - 3) is divided by 27. 23 Let w(r) = r**2 - 19*r - 9. What is the remainder when 20 is divided by w(20)? 9 Let p be 1 + (-4)/(-2)*1. Let m = 6 + p. Calculate the remainder when (-3 + 1)/((-7)/91) is divided by m. 8 Let l(v) = v + 3*v - 7*v + 3. Let r = -7 - -1. Calculate the remainder when 62 is divided by l(r). 20 Let n(v) = -v**2 - 5*v - 2. Let o be n(-4). Suppose 0 = -2*a + 10, 117 = 5*j - o*a + 17. Calculate the remainder when j is divided by 6. 4 Let k(f) = 2*f**2 + 2*f - 4. Let x = 8 + 14. Calculate the remainder when x is divided by k(-3). 6 Suppose 4*h - 172 = -0*h. Suppose -3*v - v - 96 = 0. Let m = 39 + v. What is the remainder when h is divided by m? 13 Calculate the remainder when (-1479)/(-12) - 7/28 is divided by 43. 37 Let w(y) = 9*y + 2. Calculate the remainder when 43 is divided by w(1). 10 Let w = 12 - 9. Let g(m) = m**3 + 2*m**2 + 2*m. Let c = 38 + -25. Calculate the remainder when g(w) is divided by c. 12 Let g be 1 + -1 - (-14 + 13). Suppose 3*r = -2*k + 89, 0*r + r = -g. What is the remainder when k is divided by 12? 10 Suppose -y - 4 = -5. Let f be (16/5)/((-1)/(-5)). Calculate the remainder when (-2)/(-3) + f/12 is divided by y. 0 Suppose 2*i = 10, -2*i = 5*s + 3*i - 35. What is the remainder when 1/s + (-1311)/(-38) is divided by 18? 17 Suppose f = -3*f + 20. Suppose q - 108 = -3*c, -f*q = 4*c + 196 - 725. Calculate the remainder when q is divided by 27. 24 Suppose l + 0*d + d = 12, -l + 5*d = 12. Calculate the remainder when 31 is divided by l. 7 Let r(a) = -a**3 + 7*a**2 + 4*a - 1. Let o(d) = 6*d**3 + 1. Let k be o(1). What is the remainder when r(k) is divided by 14? 13 Let b(s) = -2*s + 1. Calculate the remainder when 43 is divided by b(-7). 13 Let h(r) = r**2 - 17*r + 1. Calculate the remainder when h(20) is divided by 21. 19 Let u(q) = 2*q**3 - 2*q + 3. Calculate the remainder when 59 is divided by u(2). 14 Suppose -75 = -5*y + 5*p, y - 3*p = 31 - 8. Calculate the remainder when y is divided by 6. 5 Suppose -5*c + 3*c + 24 = 0. Suppose -11*f - 46 = -c*f. Calculate the remainder when f is divided by 12. 10 Let v(o) = 22*o**2 - o + 1. Suppose 0 = -3*w + w + 2. Calculate the remainder when v(w) is divided by 6. 4 Let p(b) = -b + 7. Let q be p(9). Let s be q*1/(3/(-18)). Calculate the remainder when 7 is divided by 8/s*(-9)/(-2). 1 Suppose 0 = -5*u - 10 - 10. Let c(z) = -z**3 - 3*z**2 + 2*z + 5. Calculate the remainder when 38 is divided by c(u). 12 Let l = 0 + 3. Suppose 0 = i - 5 - l. Suppose -3*j + 1 = -i. What is the remainder when 7 is divided by j? 1 Suppose -3 = 3*w - 9. Let i be -2*15/10*-6. Suppose -w*d + i = d. Calculate the remainder when 23 is divided by d. 5 Let p = 7 - -127. Calculate the remainder when p is divided by 8. 6 Let k = 30 + -6. Calculate the remainder when 70 is divided by k. 22 Let d = 25 + -18. What is the remainder when d is divided by 2? 1 Suppose y = -1 - 0, 4*w - 4*y - 16 = 0. Suppose -4*a + 15 = w. Calculate the remainder when 4 is divided by a. 1 Let f = 21 + -18. What is the remainder when 5 is divided by f? 2 Let k(n) = n**3 + 7*n**2 - 34*n + 2. What is the remainder when 207 is divided by k(-10)? 39 What is the remainder when 66 is divided by 372/11 + 2/11? 32 Let p(r) = r**2 + 10*r + 3. What is the remainder when p(-12) is divided by 5? 2 Let p(x) = x**3 - 14*x**2 + 20*x - 44. What is the remainder when 90 is divided by p(13)? 43 Let b(k) = -k**3 + k**2 + k + 1. Let g(h) = -12*h**2 + 8. Let m(s) = -b(s) - g(s). What is the remainder when 5 is divided by m(-11)? 1 Let v = -64 + 37. Let t be (-2)/(-6) + 9/v. Suppose -3*c + 2*p + 17 = t, -2 + 18 = -4*p. Calculate the remainder when c is divided by 2. 1 Let i = 12 - 3. Suppose -a = 2*u + 2, 7*u - 2*u + 3*a = -6. What is the remainder when u/4 - (-50)/2 is divided by i? 7 Suppose -c = -99 - 89. Suppose g = 5*g - c. What is the remainder when g is divided by 12? 11 Suppose -q - 6 = -4*q. Suppose 0 = 8*k - 4*k - q*d - 116, 19 = k + 2*d. What is the remainder when k is divided by 7? 6 Let w = -25 + 53. Calculate the remainder when 167 is divided by w. 27 Suppose -2*h = -0*h - 2*p - 90, -5*h = -p - 217. Calculate the remainder when h is divided by 4. 3 Let i = -14 + 51. What is the remainder when 71 is divided by i? 34 Suppose -5*x = -b + 22, 5*b - b + x - 4 = 0. Let s be b - 3/((-9)/33). Calculate the remainder when (s + 0)*(-1 + 2) is divided by 7. 6 Let p(h) = -4*h - 5. What is the remainder when p(-6) is divided by (16/4)/12*(18 + 3)? 5 Let i(u) = -u + 5. Suppose 2*m + 8 = -2*h, -h + 4*m = -m + 4. Let a be (3 - 0)/(2/h). Calculate the remainder when i(a) is divided by 6. 5 Suppose 49 = a - 48. Suppose 2*y - 100 = -3*y. What is the remainder when a is divided by y? 17 What is the remainder when 132 is divided by 594/26 - 2/(-39)*3? 17 Suppose -4*v - 8 = -6*v. What is the remainder when (v + 27)*(1 + 0) is divided by ((-55)/20)/(2/(-8))? 9 Let q(h) = h**2 + 22*h + 20. Suppose -3*p + 3*n = -21, 5*n - n = 16. Calculate the remainder when q(-23) is divided by p. 10 Let x(a) be the third derivative of a**5/12 + a**4/6 + a**3/6 + 2*a**2. Let l = 40 + -28. What is the remainder when x(-3) is divided by l? 10 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. 19 Let g = 5 + 0. Suppose 332 = g*t + 57. Suppose -3*d + t = 6*r - r, -2*r = 4*d - 50. What is the remainder when 18 is divided by d? 8 Let n = 50 - 24. What is the remainder when 129 is divided by n? 25 Let k(r) = -9*r**3 + 2*r - 1. Let q be k(1). Let a = q - -12. What is the remainder when 11 is divided by a? 3 Let r = -34 + 59. Let g = 76 - 69. What is th
{ "pile_set_name": "DM Mathematics" }
+ o. Let s = d + -83. Round s to 2 dps. 0.13 Let p = 23 - 20. Suppose -g - 4 = -p*g. Suppose 3*d = 4*n + 16806, -3*d - 2*d + 8410 = -g*n. Round n to the nearest one thousand. -4000 Let y = 203031062.10000024 + -203031054. Let d = -8.1 + y. What is d rounded to seven dps? 0.0000002 Let n = -43.05 + 55.9. Let l = -12.82 + -0.18. Let g = n + l. What is g rounded to one decimal place? -0.2 Let w(f) = -966833*f**2 + 2*f. Let s be w(2). Let m = 6492598 + s. Suppose -m + 485270 = -2*z. Round z to the nearest 100000. 1100000 Let b be (12/21)/((-1)/(-7)). Suppose -b*l + 0*l = 24. Let v(s) = -189351*s**3 + 6*s**2 + 5*s - 2. Let g be v(l). Round g to the nearest 1000000. 41000000 Let q be 476/(-221) - 4/(-26). Let o be 0 + 0 - 298 - q. Let p = o + -324. Round p to the nearest 100. -600 Let i = -489 - -236. Let r = i - -252.999556. What is r rounded to four dps? -0.0004 Suppose 5*f - 5*h + 28400020 = 0, -4*f + 6*f = -5*h - 11359980. What is f rounded to the nearest 100000? -5700000 Let s = 0.37 + -1.97. Let k = 17.6 - s. What is k rounded to the nearest integer? 19 Let k = -52.45 - -47.2. Round k to one dp. -5.3 Let h(c) = 4316*c**2 + 5*c + 4. Let i be h(-3). Suppose -i = -4*u + 36767. Round u to the nearest 1000. 19000 Let o = -0.39 + 0.02. Let t = o - 8.73. What is t rounded to the nearest integer? -9 Let o = -4301 - -4688.6. Round o to the nearest 10. 390 Let p = 1320 - 1320.0000814. What is p rounded to five decimal places? -0.00008 Let f = -1.77000082 + 1.77. Round f to seven decimal places. -0.0000008 Let v = 0.02 + 18.98. Let j = -23159 - -23140.002. Let r = j + v. Round r to 2 dps. 0 Let g = 0.081 - -159.919. Let j = g + -160.0214. Let x = j - -0.01909. Round x to 4 decimal places. -0.0023 Let s(r) = 1. Let q(m) = -m - 8. Let p(n) = q(n) + 6*s(n). Let f be p(0). Let c be ((-19200)/(-28))/(f/(-7000)). What is c rounded to the nearest one million? 2000000 Let a = -0.36 - 18.64. Let c = 18.99999853 + a. Round c to seven dps. -0.0000015 Let u be 38/(-95) - (-383156076)/(-10). Let s = u - -71915608. Round s to the nearest one million. 34000000 Let v = -0.083 - -0.043. Let n = v - -0.040049. Round n to five dps. 0.00005 Let p = 2475.7 - 1889. Round p to the nearest ten. 590 Let f be -245 - (-25)/(-15)*-3. What is f rounded to the nearest 10? -240 Let k(y) = 11615*y + 25. Let s be 85/15 - ((-4)/(-3))/2. Let c be k(s). What is c rounded to the nearest one thousand? 58000 Suppose -4 + 0 = -q. Suppose -5*r = -q*r - 14000. What is r rounded to the nearest one thousand? 14000 Let n(a) = -a**3 + a**2 + 4*a - 2. Let k be n(3). Let g = k - -8. Suppose 3*h = 3*u + 255, g = 6*u - 5*u + 5*h + 55. What is u rounded to the nearest 100? -100 Let a = -2.2 + 11.2. Let s = a - 9.24. Let i = s + 0.2400014. Round i to 6 decimal places. 0.000001 Let t be (1/(-1 - (-4440000)/4439998))/1. Suppose 740004 = -j + 4*m, -3*j - 3*m - t = -2*m. Round j to the nearest 100000. -700000 Let v = 575 - 567.53. Round v to 1 dp. 7.5 Let l = 456 - 468.096. Let b = 12 + l. Let t = b - -0.1. Round t to 3 dps. 0.004 Let c be ((-480)/140)/(2/(-14)) + 2. Let y be (1 - c)*49620/(-150). What is y rounded to the nearest one thousand? 8000 Suppose 4*c = -2*g + 424, -4*g + 3*c = -c - 908. Suppose 0 = -2*h - 80 - g. Round h to the nearest 10. -150 Let l = -18127264 + 26127268. Suppose 0 = -u - c - l, 8*u + 39999992 = 3*u + 2*c. What is u rounded to the nearest 1000000? -8000000 Let m = 12 - 6. Suppose 1931 = m*p + 59. Let s be (p/(-3) + 4)*4. Round s to the nearest 1000. 0 Let g = -65.716 + 66. Let j = 0.034 - g. What is j rounded to one decimal place? -0.3 Let y = 141.7998192 + -141.8. What is y rounded to 6 decimal places? -0.000181 Let c = -0.148 + 67.148. Let x = c - 36. Let h = x + -38.8. Round h to the nearest integer. -8 Let j = -430903044.50035 - -430952350. Let s = -49307 + j. Let i = -1.5 - s. Round i to four dps. 0.0004 Let p = 30.415 - 29.51133. Let h = p + -0.9. Round h to three dps. 0.004 Let t = -33.1000215 - -33.1. What is t rounded to six decimal places? -0.000022 Let m = 149868 - 149860.999984. Let w = -8.8 + 1.8. Let a = w + m. Round a to six dps. 0.000016 Let y = 13 + -13.6. Let q = y - 3.4. Let g = q + 4.09. Round g to 2 decimal places. 0.09 Let l be (28748/(-5))/((-2)/5). Suppose -5*b = 2*t + l + 24836, -2*t = 3*b + 39206. Round t to the nearest 1000. -20000 Let f = 218 - 461. Let d = f + 32. Let o = d + 210.9799. What is o rounded to 3 decimal places? -0.02 Let y = -165 + 99. Let l = -1470796 - -1470729.9839. Let r = l - y. What is r rounded to three decimal places? -0.016 Let g = 16.58 + 1.12. Let i = g + -17.6999532. Round i to five decimal places. 0.00005 Let q = 13.9793 + 0.0767. Let l = 16 + -2. Let b = q - l. Round b to two decimal places. 0.06 Suppose 2*l = 3*l - 20. Let b be 1/((4/(-1))/l). Let z = b - 15. Round z to the nearest 10. -20 Let y = -165 - -165.000135. Round y to 5 decimal places. 0.00014 Suppose -2358*r + 2365*r = -22610000. Round r to the nearest 1000000. -3000000 Let w = 1228.206 - 1227. Let c = w + 6.824. What is c rounded to zero dps? 8 Suppose 27*v - 7425000 = 9*v. Round v to the nearest 100000. 400000 Let m = -1373 + 1373.000234. Round m to 5 decimal places. 0.00023 Let f = -1.8147241 + 1.815. What is f rounded to 6 decimal places? 0.000276 Let a be -8267 - (28/10 - (-21)/105). Round a to the nearest 100. -8300 Let q = 2179 - 2199.74. Round q to the nearest integer. -21 Suppose -12 = 11*c + 21. Let t(r) = 411*r**2 + r + 4. Let n be t(c). Round n to the nearest one thousand. 4000 Let j = 3343.97863 + -3344. What is j rounded to 3 dps? -0.021 Let x = -331.52243 - -333.821. Let s = -743.7 - -746. Let v = s - x. Round v to four dps. 0.0014 Suppose 0*q + 5*q + 2780 = 5*c, 2*q = 5*c - 1097. What is q rounded to the nearest ten? -560 Let f = 11.5 + -97.6. Round f to the nearest ten. -90 Suppose 0 = j - 2*j + 2337. Suppose -2*h + 8279 = -3*w, 0 = -4*w - 4*h + 2*h - 11062. Let d = j - w. What is d rounded to the nearest one thousand? 5000 Let i = -300.07991 - -300.1. What is i rounded to 4 dps? 0.0201 Let t = -506.99994025 + 507. What is t rounded to five dps? 0.00006 Let b = -2953.3 + 3172. Round b to the nearest 10. 220 Suppose -8 = -k - 209. What is k rounded to the nearest 10? -200 Let k = -76 - -142. Let n = -66.0000285 + k. Round n to six decimal places. -0.000029 Let c = 520982 + 677021. Suppose 2*w = -c + 3018003. What is w rounded to the nearest 100000? 900000 Let y = 11.8 - 11.8000022. What is y rounded to 6 decimal places? -0.000002 Let f = -5 - -7.2. Let w = -2.7 + f. Let l = -0.45 - w. What is l rounded to two dps? 0.05 Let w = 37 + -36.944. Let u = -0.185 + w. What is u rounded to two decimal places? -0.13 Let y = 708 + -571.6. What is y rounded to the nearest 10? 140 Let q = -1225248035852.8800065 - -1225247558904. Let l = -476949 - q. Let m = 0.12 + l. Round m to 6 decimal places. 0.000007 Let c(p) = -p - 8. Let h be c(-12). Suppose 0*r - 2*r + h = 0. Suppose -r*a - 38673 = 9327. Round a to the nearest 10000. -20000 Let m = -190 - -325. Let p = 70 - m. Let d = 64.9938 + p. Round d to three dps. -0.006 Let d = -271 + 270.9829. Round d to 3 decimal places. -0.017 Let x(m) = 23515*m**2 + 8*m + 7. Let j be x(-1). Let i = j - 13814. What is i rounded to the nearest 1000? 10000 Let r = 5.289219 - 5.287. Round r to 4 decimal places. 0.0022 Let p = -10 - -9. Let t be p/((-92)/30 - -3). Let n be (-4)/(-6)*t*-430000. What is n rounded to the nearest 1000000? -4000000 Suppose 98 = -10*o - 82. Round o to the nearest integer. -18 Suppose -7*t = -10*t + 9. Suppose y = t*y - 10. Suppose 3*v + 179200 = -y*v. What is v rounded to the nearest 1000? -22000 Let g = -33.04 + -4.01. Round g to the nearest integer. -37 Let m = 0.237 - 114.237. Let o = m + 114.00056. Round o to 4 dps. 0.0006 Let o = 0.0201452506 + -21.0201421506. Let j = -21 - o. Round j to 7 dps. -0.0000031 Suppose 2*x - 3*z = 6*x - 2347, -5*x + 2932 = 2*z. Let j = -156 - x. What is j rounded to the nearest 100? -700 Let q = 68.074 - 68. Let m = 0.07218 - q. What is m rounded to 4 dps? -0.0018 Let z = 0.6766 + -0.55. Round z to 1 dp. 0.1 Let l = 3234145238496087338.00000089 + -3234145257357081161. Let n = -18860993698 - l. Let v = -125 + n. What is v rounded to 7 dps? -0.0000009 Let u = 27349.664
{ "pile_set_name": "DM Mathematics" }
greatest common divisor of c and z. 18 Suppose 29*o = 53 + 1107. Calculate the greatest common divisor of o and 180. 20 Let k be (-4)/14*(3276/(-12))/13. Let g be (-13 + k + 6)*-39. Calculate the highest common divisor of g and 3. 3 Let g be ((-8)/3)/(530/(-48) + 11). Calculate the highest common divisor of g and 12704. 32 Let y = -11402 - -11405. Let a(u) = -4*u - 3. Let h be a(-5). Let g = 44 - h. What is the highest common divisor of g and y? 3 Suppose 443 = 5*z - 12. Suppose -86*l - 680 = -z*l. What is the highest common factor of l and 340? 68 Let w be 22/((-2)/25 + (-504)/(-2550)). Calculate the highest common factor of 33 and w. 11 Let o(c) = 4*c + 1. Let x be o(5). Suppose 17430 = 58*j + 108*j. What is the highest common factor of j and x? 21 Let w(p) = 32*p**2 - 4*p - 1. Let g be w(-1). Let a = 5 + g. Let c(d) = d**2 + 5*d + 5. Let u be c(-5). Calculate the highest common factor of a and u. 5 Let y(u) = -u**2 + 373*u - 1836. Let s be y(5). Let m(n) = -n**3 - 10*n**2 - 12*n. Let g be m(-10). What is the greatest common divisor of s and g? 4 Let u(l) = 34 - 2*l**3 + 3*l - 21 + 3*l**3 + 11. Let k be u(0). What is the highest common divisor of 8 and k? 8 Suppose -188 = 5*p - 438. Let x be (-2255)/(-15) - (-1)/(-3). What is the greatest common factor of x and p? 50 Suppose -22*t + 1868 = -3214. Suppose 5*b = -2*b + t. Calculate the greatest common divisor of 22 and b. 11 Suppose -6 = -v + b + 32, -3*v = -4*b - 120. What is the greatest common divisor of v and 40? 8 Let j(d) = d**2 + 4*d + 94. Let r be j(-15). Calculate the greatest common divisor of r and 2664. 37 Let f be (45/20)/(868/(-176) - -5). What is the greatest common divisor of 3 and f? 3 Let x(v) = 2 - 4*v + 5*v - 2*v**2 + 2 + 1. Let y be x(0). Suppose 10 = 4*w - w + 4*f, -y*w - f = -28. What is the highest common factor of w and 9? 3 Suppose 28*j - 98 = 14*j. Calculate the greatest common factor of 602 and j. 7 Let g = -769414 - -770035. Let a(r) = 47*r**2 + r. Let c be a(-1). What is the greatest common divisor of c and g? 23 Let v(c) = c**2 - 54*c + 696. Let m be v(44). What is the highest common divisor of m and 1600? 64 Let v = 9 - 105. Let r = v - -113. Calculate the highest common divisor of r and 527. 17 Suppose -62 = -2*q - 5*m, -32*q + 2*m = -34*q + 68. Calculate the highest common factor of 3996 and q. 36 Let u(o) = -8*o**3 + 4*o + 4. Let n be u(-1). Suppose -60*r + 260 = -n*r. Calculate the greatest common factor of 3 and r. 1 Let v(a) be the third derivative of -a**6/120 - 7*a**5/60 - 17*a**4/24 - 31*a**3/6 - 7*a**2 + 1. Let t be v(-5). What is the highest common divisor of t and 8? 4 Let p(x) be the third derivative of x**5/30 + 11*x**3/6 - 4*x**2. Let q be p(0). Let w = 53 - q. What is the greatest common factor of w and 14? 14 Let l(a) be the first derivative of -11*a**2 + 16. Let r be l(-3). Let i(y) = 4*y + 140. Let x be i(-24). Calculate the greatest common factor of x and r. 22 Let s(l) = l**3 - 6*l**2 + 8*l - 8. Let i be s(6). Suppose i = -96*y + 98*y. Calculate the greatest common factor of y and 55. 5 Let p be ((-36)/(-45))/((-3)/(-150)). Let b be 288/(-30)*40/(-6). Calculate the greatest common divisor of p and b. 8 Let d be (48/(-40))/(4/(-10)). Suppose -87 = -l - 5*m, d*m = 3*l + 5*m - 326. Suppose 2*x - 48 = l. Calculate the highest common divisor of 32 and x. 16 Suppose 4*m + 5 = -15, -5*m = -2*w + 1759. Suppose -s + 0*k + 3*k + 165 = 0, w = 5*s - k. What is the highest common factor of s and 58? 58 Let q = -307 + 87. Let x = q - -242. Suppose -3*y - 34 = -199. Calculate the greatest common divisor of x and y. 11 Let g be (456/9)/2 - (-4)/6. Suppose -10*z + 1170 = -0*z. What is the highest common factor of g and z? 13 Let k(v) = -5*v - 3. Let h be k(-5). Let r = -147 - -186. Suppose -r = 3*s - 72. What is the greatest common divisor of h and s? 11 Suppose 0 - 6 = -2*v, 15 = -3*c + 4*v. Let f be 9 + 4 - (0 + c). Suppose 15*l = f*l + 120. What is the highest common divisor of l and 15? 15 Suppose -515 = -5*q - 0*q. Let o = -99 + q. Suppose -2*l = o*f - 80, -l + 2*f - 7*f = -28. What is the greatest common divisor of 6 and l? 6 Let m = -744 - -1306. Suppose -3*n + m = -2*l - 9, 5*l = -n + 179. What is the highest common divisor of n and 7? 7 Let g = -17242 - -26701. Calculate the highest common factor of 9 and g. 9 Suppose 637*f - 48 = 640*f, 5*f = -4*p - 40. Suppose -5*h + 3*k = -53, -1 - 2 = 3*k. Calculate the highest common divisor of h and p. 10 Let x be 17/((-1904)/(-84)) + (-82)/(-8). Let g = -139 + 260. Calculate the highest common divisor of x and g. 11 Suppose 2*t - 3*o - 241 = 0, 2*t - o + 2*o - 221 = 0. Suppose -2*d - 10 = -2, -2*d - t = -5*u. What is the greatest common factor of 168 and u? 21 Let j(u) = 645*u + 755. Let p be j(-1). Calculate the greatest common factor of 3982 and p. 22 Let o be 12/5*560/6. Let r = -162 + o. What is the greatest common factor of r and 62? 62 Let t be 703 - (-20)/(5 + -3). What is the greatest common divisor of 93 and t? 31 Let a(t) = -4*t**2 + 43*t - 25. Let w be a(10). What is the highest common divisor of w and 2535? 5 Let l(b) = -72*b + 351. Let n be l(4). Calculate the greatest common factor of 2919 and n. 21 Let l = 65 - 62. Let j(z) = -65*z**3 - 54 + l*z + 103 - 46. Let r be j(-1). Calculate the highest common divisor of r and 5. 5 Let v = -7200 + 7260. What is the highest common factor of 438 and v? 6 Let x be 8*(-1)/1*-6. Suppose -i + 5*k - 31 = 0, 0 = 3*i + 4*k - 8*k - 28. Calculate the greatest common divisor of i and x. 24 Suppose 72*p - 30*p - 596 = 3436. Calculate the highest common divisor of 600 and p. 24 Let n(m) = 5438*m - 1810. Let l be n(3). Calculate the greatest common factor of 37 and l. 37 Let b = -22 - -27. Suppose 4*h - b*m + 31 = 0, -3*h = m + 7 + 2. Let w(u) = u**2 - 5*u - 18. Let g be w(h). What is the greatest common factor of g and 126? 18 Let h = -170 - -798. Suppose 5*c + 598 = h. What is the highest common factor of c and 48? 6 Suppose 5*d = -2*z + 8, -4*d + 22 = -z - 0*d. Let f be (-1)/(-1) - z*(-11)/(-3). What is the greatest common divisor of 184 and f? 23 Suppose 0 = -34*s + 42*s - 16. Suppose -j + 29 = -4*v, -2*j - 10*v = -5*v - 123. Calculate the greatest common factor of s and j. 1 Suppose 0 = -2*p + 4, -5*i + 2*p = -2*i - 11. Let k be 6 - 5/(i/4). Let g = 12 - -6. What is the highest common factor of k and g? 2 Suppose 8*g = 4*g + 16. Suppose -g*d + 9 = -63. Let a = 9 + d. Calculate the greatest common divisor of 18 and a. 9 Suppose 0*r + 55 = 5*r. Suppose 4*c = 8, 4*a + 4*c + 598 = a. Let u = 290 + a. What is the highest common factor of r and u? 11 Let m(l) = -146*l - 2340. Let y be m(-27). Calculate the highest common factor of y and 36. 18 Let g(k) = 4. Let m(p) = -6*p + 41. Let v(b) = 2*g(b) + m(b). Let s be v(0). Calculate the greatest common divisor of 21 and s. 7 Let d = 29 - 22. Suppose r + 5*a - 56 = -d, -5*r - 3*a = -179. Suppose -5*h + r - 4 = 0. What is the greatest common divisor of h and 6? 6 Let c be (-2)/7 - (-422)/7. Let i be 1256/30 + 8/c. Suppose -16*t + 356 - 70 = -50. Calculate the greatest common factor of i and t. 21 Suppose 107640 = -391*n + 463*n. Calculate the greatest common factor of n and 2185. 115 Suppose 0 = 2*n - 903 - 831. Let z = -2489 + 2540. Calculate the highest common factor of n and z. 51 Let y be 93 + (9 - 11)/(2/3). Let f = y + -48. Suppose i + f = 133. Calculate the highest common divisor of i and 7. 7 Let v(q) = 178*q - 46. Let a be v(7). Suppose -33*z + a = -23*z. What is the highest common divisor of 90 and z? 30 Let n be (-852)/(-9)*(-2 - 14/(-4)). Let j = n - 82. Calculate the greatest common divisor of j and 15. 15 Let m = 393 + -391. Suppose -15*o = m*o - 510. Calculate the highest common factor of o and 480. 30 Let f = 51 + -25. Let g(p) = 330*p + 3632. Let v be g(-11). What is the greatest common factor of f and v? 2 Let d(i) = 2*i**2 + 8*i + 20. Let n be d(-4). Let s be (0 - 4/(-2)) + 1. Suppose -s*w - 77 + 377 = 0. Calculate the greatest common factor of n and w. 20 Suppose 0 = -4*c + 19*z - 14*z + 340, 4*c = -4*z + 340. What is the greatest common factor of c and 1207? 17 Let l(c) = -41*c - 383. Let h be l(-37). Let f be (-7)/(-2)*(11 + (-21)/(-3)). What is the highest common factor of f and h? 63 Let k be (-
{ "pile_set_name": "DM Mathematics" }
rivative of 1109*w**6/120 - 2239*w**3/6 + 2333*w**2. What is the derivative of z(u) wrt u? 3327*u**2 Let x(l) be the second derivative of -14*l**6/3 - 3*l**5/10 - 363*l**3 - 4*l - 384. What is the second derivative of x(q) wrt q? -1680*q**2 - 36*q Let j(x) be the first derivative of x**6/5 - 2*x**3/3 - 85*x**2/2 + 36*x + 83. Let i(a) be the first derivative of j(a). Differentiate i(g) wrt g. 24*g**3 - 4 Let d(j) be the second derivative of -j**7/21 + 28*j**6/15 - 5*j**4/12 + 2*j**3/3 + 428*j**2 + 1150*j. What is the second derivative of d(s) wrt s? -40*s**3 + 672*s**2 - 10 Let k = -25969 - -25969. Let j(c) be the second derivative of k - 11/20*c**5 + 16*c + 0*c**3 + 0*c**2 + 10/3*c**4. Find the third derivative of j(b) wrt b. -66 Let x(j) be the second derivative of j**8/28 + 257*j**6/10 - 19*j**4 + 582*j. Find the third derivative of x(k) wrt k. 240*k**3 + 18504*k Let f(v) be the second derivative of 3*v**5/20 + v**4/12 + 413*v**3/3 - 2031*v**2 - 6*v + 19. Differentiate f(j) with respect to j. 9*j**2 + 2*j + 826 Let w(c) be the first derivative of -219*c**3 - 1972*c - 5086. Find the first derivative of w(v) wrt v. -1314*v Let q(p) be the first derivative of -115/4*p**4 + 2*p**2 + 99 + 0*p - 3*p**3. Find the third derivative of q(b) wrt b. -690 Let i(c) = 1476*c**3 + 14*c**2 + 95*c + 41. Let j(l) = l**3 + l**2 + 4*l + 7. Let w(n) = i(n) - 6*j(n). What is the third derivative of w(b) wrt b? 8820 Let f(u) = -u**3 + 2*u**2 - 2*u - 1. Let b be f(-3). Suppose b*v + 10 = 55*v. What is the third derivative of -23*s**v + 46*s**3 - 20*s**4 - 46*s**3 wrt s? -480*s Let t(w) be the first derivative of -618*w**5/5 + w**4/4 - 43*w**3 - w**2 + 585. Find the third derivative of t(g) wrt g. -14832*g + 6 Let m(p) = -2755*p**2 - 17*p - 5. Let h(n) = -2733*n**2 - 16*n - 6. Let v(a) = 5*h(a) - 6*m(a). What is the second derivative of v(l) wrt l? 5730 Let y(l) be the first derivative of -5411*l**4/4 + 7818*l - 4523. Differentiate y(i) wrt i. -16233*i**2 Let q be (((-55)/3)/(-5))/((-3)/(-9)). Find the second derivative of -8*b - 55*b**3 + 17*b + 4 - q*b + 38 wrt b. -330*b Let q(a) be the first derivative of -a**3/3 - 1835*a**2/2 - 10205*a + 5656. Differentiate q(o) wrt o. -2*o - 1835 Let c(j) be the second derivative of -581*j**3/2 - 1783*j**2 + 287*j + 2. Differentiate c(o) wrt o. -1743 Let t(s) = -2381 + 2383 + 6*s + 2*s + 3*s**2. Let i be t(-5). Find the second derivative of -60*q**2 + i*q**2 + 7*q - 32*q wrt q. -46 Let v(k) be the second derivative of 5*k**8/56 + 397*k**7/42 - k**4/12 - k**3 - 12*k**2 + 2699*k. What is the third derivative of v(s) wrt s? 600*s**3 + 23820*s**2 Let p(j) = 88*j**3 + 270. Suppose 0*f = 6*f + 72. Let d(o) = -o**3. Let l(b) = f*d(b) - p(b). What is the derivative of l(k) wrt k? -228*k**2 Let y = 327 + -190. What is the first derivative of y - 103 + 95*j**3 - 107 wrt j? 285*j**2 Let g(c) be the second derivative of -11*c**7/6 - c**6/30 + c**3/3 - 94*c**2 - 6*c - 151. Find the second derivative of g(o) wrt o. -1540*o**3 - 12*o**2 Let f(a) be the first derivative of a**4/4 + 2*a**2 + 3882*a + 2207. What is the derivative of f(r) wrt r? 3*r**2 + 4 Let k(i) = 26*i**2 - 6034*i + 27916. Let f(p) = 5*p**2 - 1197*p + 5583. Let d(j) = -16*f(j) + 3*k(j). Differentiate d(o) wrt o. -4*o + 1050 What is the derivative of -4881*t + 48 + 594 + 3223 + 412 + 1635 wrt t? -4881 Let n(v) be the second derivative of -993*v**5/20 + v**3 + 31*v**2/2 + 6366*v. What is the second derivative of n(b) wrt b? -5958*b Find the first derivative of 110*x + 91*x - 49*x**3 - 235*x + 5323 wrt x. -147*x**2 - 34 Let w(y) = 2*y**3 + 3*y**2 - 2. Let b(j) = 246*j**3 - 2*j**2 - 8586*j + 2. Let z(n) = b(n) + w(n). What is the second derivative of z(k) wrt k? 1488*k + 2 Let c(j) be the second derivative of 217*j**6/15 - 223*j**4/12 + 885*j. What is the third derivative of c(h) wrt h? 10416*h Let y(h) = 8*h**2 - 2*h**3 - 9*h + 8*h**3 - 5*h**3 + 2. Let q be y(-9). Differentiate 17*v**2 - 17*v**2 + q - 28 + 22*v**3 wrt v. 66*v**2 Differentiate 357 - 24*s - 341*s - 960 - 472 - 212*s wrt s. -577 Find the second derivative of 52672 + 9206*q**2 + 5844*q - 52672 - 732*q**2 wrt q. 16948 Let p be (-48)/30*((-14)/1 - 2/(-8)). Let a(j) be the first derivative of -11/2*j**2 - p + 0*j - 2*j**4 + 0*j**3. Find the second derivative of a(i) wrt i. -48*i What is the third derivative of 0*u + 0*u - 452*u**3 + 1405*u**2 + 282*u**3 - 378*u**3 wrt u? -3288 Suppose -5*o = -4*j + 8, 0 = -0*j + 5*j - 2*o - 27. What is the derivative of -35*m - 37*m + m + 77 + m - j*m wrt m? -77 Let m(t) = 4296*t**2 - 48*t + 3976. Let l(p) = -3*p**2 + p + 1. Let h(j) = -48*l(j) - m(j). Differentiate h(o) with respect to o. -8304*o Let s(q) be the first derivative of -q**6/2 + 280*q**3/3 + 1011*q**2/2 - 342. Find the second derivative of s(n) wrt n. -60*n**3 + 560 Let z be (72 + 24)*(-1)/(-2). What is the third derivative of -7*a**2 + z*a**4 - 33*a**2 + 2*a**4 wrt a? 1200*a Let y(f) = 3*f**3. Let v be (-3 + 0 - 0)*3/(-9). Let p be y(v). What is the second derivative of 3*a**3 - 4*a + a - 10*a**p + 16*a wrt a? -42*a Let g = 242 + -172. What is the first derivative of 24 + 5*a**2 + g + 21 + 3*a**4 wrt a? 12*a**3 + 10*a Differentiate 1417 - 25*b + 1011 - 180*b - 214 + 8*b**2 with respect to b. 16*b - 205 What is the second derivative of -735*h**2 + 353*h - 4 + 3123*h**2 + 4 - 2 wrt h? 4776 Suppose 33*a - 31*a = 4*w + 20, -4*a + 31 = -5*w. Find the third derivative of -24 + k**2 + 48*k**a + 15 - 13 - 10 wrt k. 1152*k Let v = 8 - 17. Let x be 11/4 - v/36. Differentiate 1116*d + 12*d**x - 1116*d + 11 wrt d. 36*d**2 What is the third derivative of 10471812 - 271*j**4 - 10471812 - 8666*j**2 wrt j? -6504*j Find the third derivative of -3*o**5 + 132*o**2 - 2*o - 125*o**4 - 2*o**3 + 136*o**2 - 382*o**2 wrt o. -180*o**2 - 3000*o - 12 Let p(c) = c - 12. Let h be p(-3). Let l be 5 - 3*5/h. Find the third derivative of 9*x**2 + 5*x**2 - 16*x**4 + l*x**2 + 4*x**2 wrt x. -384*x What is the third derivative of 22 + 9*y**3 + 1 + 3*y**6 + 0 - 3*y**5 - 60*y**2 + 76*y**2 + y**5 + 2*y wrt y? 360*y**3 - 120*y**2 + 54 Let o be 31 + -16 + 2*1. Let g = o - 13. Find the first derivative of -11 - 1343*h + 1343*h - 10*h**g wrt h. -40*h**3 Let b(s) be the third derivative of 0 - 1/6*s**3 - s**2 - 1/30*s**5 - 13/210*s**7 + 2/3*s**4 + 0*s**6 + 6*s. What is the second derivative of b(w) wrt w? -156*w**2 - 4 Let g be 4 - (4/(-56)*-4)/((-9)/42). Let w(u) be the first derivative of -38 + 0*u**2 + 40*u - g*u**3. Differentiate w(k) with respect to k. -32*k Suppose 15*n = 23*n - 128. Suppose -n*y = -4*y - 264. Find the second derivative of -7*h - y*h**5 - 1422*h**2 + 1422*h**2 wrt h. -440*h**3 Let u(m) be the second derivative of 506*m**4/3 - 8*m**3/3 - 31*m - 1. Find the second derivative of u(i) wrt i. 4048 Let j(o) be the third derivative of 0*o + 46*o**2 + 1/24*o**4 + 13/20*o**5 - 3/2*o**3 + 0. What is the second derivative of j(g) wrt g? 78 Let i(p) be the third derivative of -29*p**3 + 204*p**2 + 0*p + 0 + 1/30*p**5 + 11/6*p**4. Differentiate i(m) wrt m. 4*m + 44 Suppose 2*f + 10 = 7*f. Let l = 19 - 8. What is the second derivative of -15*w + l*w - 4*w - 8*w - 13*w**f wrt w? -26 Let b = 71 + -71. Suppose 1602 = -b*m + 9*m. What is the first derivative of m*w - 357*w - 39*w**2 + 179*w + 5 wrt w? -78*w Let w(y) = -2*y**3 + 26*y**2 + 225*y. Let b be ((3 - 3) + -8)*(-2)/8. Let a(x) = -2*x. Let j(i) = b*a(i) + w(i). What is the second derivative of j(t) wrt t? -12*t + 52 Let k(x) be the third derivative of -1789*x**5/60 - 5*x**4/24 - 9*x**3 - 47*x**2 - x. Find the second derivative of k(u) wrt u. -3578 Find the second derivative of 2734*n**5 - 7887*n + 3788*n + 3013*n wrt n. 54680*n**3 Let f(y) = 230*y**3 - 96*y**2 - 2*y + 5. Let o(p) = -1151*p**3 + 481*p**2 + 11*p - 29. Let w(x) = 22*f(x) + 4*o(x). What is the third derivative of w(z) wrt z? 2736 Suppose 3*i = 19 + 11. Let w = 355 + -200. What is the third derivative of -i*v**2 - w*v + 155*v + 27*v**3 wrt v? 162 Let b(k) = 7 - 3*k - 7*k**2 + 2*k**2 + 3*k**3 - k**3 - 2*k**2. Let l be b(4). Find the third derivative of -t**3 + 61 - l*t**2 - 61 wrt t. -6 Let i(j) = j**4 + 2*j**3 + 4*j**2 - j. Let v(s) = 5*s**4 + 2713*s**3 + 5108*s**2 - 3*s. Let c(n) = 3*i(n) - v(n). What is the third derivative of c(k) wrt
{ "pile_set_name": "DM Mathematics" }
ent from pnnpunenrnnpplurp. Give prob of picking 1 e, 1 u, and 1 p. 1/68 Two letters picked without replacement from {p: 8, m: 5, w: 7}. Give prob of picking 1 p and 1 w. 28/95 Three letters picked without replacement from {y: 1, e: 4, q: 5}. Give prob of picking 1 q and 2 e. 1/4 What is prob of picking 1 i and 1 v when two letters picked without replacement from qvvxii? 4/15 Calculate prob of picking 1 x and 1 a when two letters picked without replacement from xaaaaaaaaaaaaaaaaa. 1/9 Calculate prob of picking 1 i and 1 z when two letters picked without replacement from zgzmzzyigyyziz. 12/91 Four letters picked without replacement from puopooppuppp. Give prob of picking 4 p. 7/99 Two letters picked without replacement from zxxdedxddxcdxcdzxx. Give prob of picking 1 d and 1 x. 14/51 Calculate prob of picking 2 v when two letters picked without replacement from vvvvvvvcvvvv. 5/6 Two letters picked without replacement from llclllll. Give prob of picking 2 l. 3/4 What is prob of picking 3 y when three letters picked without replacement from {y: 9, c: 7}? 3/20 Two letters picked without replacement from {i: 11, b: 2}. Give prob of picking 2 b. 1/78 Four letters picked without replacement from {o: 4, v: 5, c: 1}. Give prob of picking 1 c and 3 o. 2/105 Calculate prob of picking 2 s when two letters picked without replacement from swwwcwpspps. 3/55 Two letters picked without replacement from {v: 2, u: 9}. What is prob of picking 1 v and 1 u? 18/55 What is prob of picking 2 f and 1 v when three letters picked without replacement from vfqfqvvff? 3/14 Two letters picked without replacement from {t: 7, o: 3, w: 4}. What is prob of picking 2 o? 3/91 Three letters picked without replacement from vuvuuuvvvuvvvuuuvvvu. What is prob of picking 2 v and 1 u? 33/76 What is prob of picking 2 h and 2 z when four letters picked without replacement from {h: 2, z: 4, g: 3}? 1/21 Calculate prob of picking 3 f and 1 n when four letters picked without replacement from {n: 2, f: 17}. 20/57 Two letters picked without replacement from {d: 8, n: 2, i: 1, k: 1, b: 3, l: 3}. Give prob of picking 2 d. 28/153 Two letters picked without replacement from {q: 2, t: 6}. What is prob of picking 2 q? 1/28 Four letters picked without replacement from gbbwggbwllgo. Give prob of picking 2 w and 2 g. 2/165 Three letters picked without replacement from {h: 2, t: 1, i: 1, u: 2}. Give prob of picking 1 u, 1 t, and 1 i. 1/10 What is prob of picking 1 l and 1 i when two letters picked without replacement from iizzooiil? 1/9 Calculate prob of picking 1 z and 1 w when two letters picked without replacement from {w: 4, p: 1, d: 1, z: 4, l: 2, x: 3}. 16/105 Calculate prob of picking 2 e and 1 t when three letters picked without replacement from eeetj. 3/10 Two letters picked without replacement from {g: 8, z: 2, f: 8}. Give prob of picking 1 z and 1 g. 16/153 Calculate prob of picking 2 m when two letters picked without replacement from ymmyymyy. 3/28 Three letters picked without replacement from jcjjmvvmvvjjsjk. What is prob of picking 1 s, 1 v, and 1 j? 24/455 Calculate prob of picking 1 x and 1 w when two letters picked without replacement from {g: 3, v: 2, x: 4, w: 1}. 4/45 What is prob of picking 1 k and 1 u when two letters picked without replacement from xvufxvkuufvrfkx? 2/35 Three letters picked without replacement from jttoooot. Give prob of picking 3 t. 1/56 What is prob of picking 1 d and 2 m when three letters picked without replacement from ddmdm? 3/10 Two letters picked without replacement from mtqqmvttaqtx. Give prob of picking 1 x and 1 a. 1/66 Calculate prob of picking 1 x and 1 c when two letters picked without replacement from {c: 2, x: 5, w: 4}. 2/11 Four letters picked without replacement from aqaaaaaaananaa. Give prob of picking 4 q. 0 Three letters picked without replacement from {o: 1, h: 7, t: 2, l: 3, j: 1}. What is prob of picking 2 l and 1 j? 3/364 Four letters picked without replacement from {l: 1, z: 1, r: 2, n: 1, h: 1, a: 2}. Give prob of picking 2 a, 1 h, and 1 r. 1/35 Four letters picked without replacement from {r: 1, b: 1, u: 3}. Give prob of picking 4 b. 0 Four letters picked without replacement from gzjzgmz. Give prob of picking 1 m, 2 z, and 1 g. 6/35 Two letters picked without replacement from oohhhoohoo. Give prob of picking 1 o and 1 h. 8/15 What is prob of picking 2 a when two letters picked without replacement from aaaakaaaaakaa? 55/78 Two letters picked without replacement from {x: 3, o: 1}. Give prob of picking 2 x. 1/2 Two letters picked without replacement from qqavqmqcvq. What is prob of picking 1 v and 1 a? 2/45 Two letters picked without replacement from llslbbu. Give prob of picking 2 b. 1/21 Calculate prob of picking 3 w when three letters picked without replacement from {n: 3, w: 17}. 34/57 What is prob of picking 2 k and 1 i when three letters picked without replacement from kikiifff? 3/56 Calculate prob of picking 2 m and 1 l when three letters picked without replacement from mmmllldellle. 9/110 Two letters picked without replacement from {a: 3, x: 2, j: 3, s: 1, w: 1, v: 1}. What is prob of picking 1 s and 1 a? 3/55 Four letters picked without replacement from qqqcpcccpdcc. Give prob of picking 3 q and 1 p. 2/495 What is prob of picking 2 k when two letters picked without replacement from ykrnrdkw? 1/28 Four letters picked without replacement from {a: 2, o: 9}. Give prob of picking 1 a and 3 o. 28/55 Calculate prob of picking 1 o and 1 t when two letters picked without replacement from totyyyyotyoooono. 7/40 What is prob of picking 4 q when four letters picked without replacement from {u: 3, c: 2, e: 2, q: 4}? 1/330 Three letters picked without replacement from {a: 7, f: 2, i: 7, r: 1}. What is prob of picking 1 r, 1 i, and 1 f? 7/340 What is prob of picking 2 q and 2 b when four letters picked without replacement from aaaabaaaqaqqababaaa? 3/1292 Calculate prob of picking 1 a, 1 v, and 1 w when three letters picked without replacement from {c: 4, a: 1, w: 1, v: 5}. 1/33 Calculate prob of picking 1 d and 1 n when two letters picked without replacement from ddddnffddlfl. 1/11 Calculate prob of picking 3 j when three letters picked without replacement from {z: 1, j: 3, k: 4}. 1/56 Calculate prob of picking 1 w and 1 g when two letters picked without replacement from gwgw. 2/3 Calculate prob of picking 1 x and 1 y when two letters picked without replacement from lyxxxxxxlxxyx. 3/13 What is prob of picking 1 g and 2 x when three letters picked without replacement from xgffxdcdxdccdxccdxd? 10/969 Four letters picked without replacement from mvvmvm. What is prob of picking 3 m and 1 v? 1/5 Three letters picked without replacement from bbnbbbbbbn. What is prob of picking 2 n and 1 b? 1/15 Two letters picked without replacement from dmmmdmmmmd. What is prob of picking 2 m? 7/15 Calculate prob of picking 2 w and 2 f when four letters picked without replacement from wwwwwfwwfww. 6/55 Calculate prob of picking 4 t when four letters picked without replacement from {x: 2, t: 8}. 1/3 Four letters picked without replacement from {i: 3, y: 5}. Give prob of picking 2 i and 2 y. 3/7 Two letters picked without replacement from mmv. Give prob of picking 2 m. 1/3 Calculate prob of picking 1 u and 1 n when two letters picked without replacement from hphnyenu. 1/14 Three letters picked without replacement from lrlriuruturlu. Give prob of picking 1 t, 1 u, and 1 l. 6/143 Four letters picked without replacement from admppvpvvdpvavpaaza. What is prob of picking 2 v, 1 a, and 1 m? 25/1938 What is prob of picking 3 t when three letters picked without replacement from {p: 5, t: 9}? 3/13 Three letters picked without replacement from knknknknknnkkknknn. Give prob of picking 2 n and 1 k. 27/68 Two letters picked without replacement from {j: 2, z: 1, k: 7, v: 2}. What is prob of picking 1 j and 1 v? 2/33 Two letters picked without replacement from wzzjzbzzb. What is prob of picking 1 b and 1 j? 1/18 Four letters picked without replacement from {e: 2, g: 10, n: 1, w: 4, q: 1}. What is prob of picking 1 n, 2 q, and 1 w? 0 What is prob of picking 2 p when two letters picked without replacement from tpmbppnbtptdbnb? 2/35 Calculate prob of picking 2 v when two letters picke
{ "pile_set_name": "DM Mathematics" }
from docuunduudouudouddou. Give prob of sequence oo. 3/95 Calculate prob of sequence ff when two letters picked without replacement from efffzzeefffffefz. 3/10 Three letters picked without replacement from {p: 1, z: 1, s: 2, l: 1, y: 2}. Give prob of sequence zls. 1/105 Four letters picked without replacement from {p: 4, w: 4, l: 2, b: 1, v: 8}. What is prob of sequence lbpv? 2/2907 What is prob of sequence pipi when four letters picked without replacement from pipppppppppppiip? 3/140 What is prob of sequence qz when two letters picked without replacement from uzaoqpq? 1/21 Two letters picked without replacement from {l: 3, m: 1, g: 1}. What is prob of sequence lg? 3/20 What is prob of sequence xru when three letters picked without replacement from {x: 2, u: 4, r: 4}? 2/45 Two letters picked without replacement from {g: 2, v: 3}. Give prob of sequence vg. 3/10 Calculate prob of sequence pj when two letters picked without replacement from {e: 1, l: 2, o: 1, p: 4, j: 3}. 6/55 Four letters picked without replacement from eqqqqqeeqe. What is prob of sequence qqeq? 2/21 Four letters picked without replacement from yyyyyyy. What is prob of sequence yyyy? 1 What is prob of sequence yyd when three letters picked without replacement from yyvvgdgb? 1/168 Calculate prob of sequence skk when three letters picked without replacement from {m: 5, k: 4, s: 2}. 4/165 Calculate prob of sequence nn when two letters picked without replacement from xnpcnnnxnxnnnqx. 4/15 Two letters picked without replacement from {t: 1, u: 1, w: 1, e: 2}. What is prob of sequence ew? 1/10 What is prob of sequence xxx when three letters picked without replacement from {x: 4, k: 2}? 1/5 Calculate prob of sequence fjj when three letters picked without replacement from fjffjjffjffjfjfj. 9/80 Calculate prob of sequence uuu when three letters picked without replacement from uussuussssuusu. 5/52 What is prob of sequence nn when two letters picked without replacement from {g: 3, n: 17}? 68/95 Four letters picked without replacement from {x: 7, z: 7, p: 2}. Give prob of sequence zpxz. 7/520 Three letters picked without replacement from {y: 4, b: 14}. Give prob of sequence bbb. 91/204 Calculate prob of sequence djdd when four letters picked without replacement from {d: 5, j: 3}. 3/28 Four letters picked without replacement from {a: 1, g: 1, f: 2, k: 2}. What is prob of sequence gfaf? 1/180 Two letters picked without replacement from {l: 14, v: 1}. What is prob of sequence lv? 1/15 Calculate prob of sequence ez when two letters picked without replacement from xeexexeexexxzexexee. 5/171 What is prob of sequence wttt when four letters picked without replacement from {k: 4, j: 4, w: 1, t: 3, q: 1}? 1/2860 Three letters picked without replacement from nfsnnesoffn. Give prob of sequence soe. 1/495 Calculate prob of sequence ud when two letters picked without replacement from {u: 2, d: 6}. 3/14 Calculate prob of sequence xtxx when four letters picked without replacement from {t: 3, x: 4}. 3/35 Three letters picked without replacement from {j: 5, m: 9}. What is prob of sequence jjm? 15/182 Three letters picked without replacement from bbhxxhhhxh. What is prob of sequence xbb? 1/120 Calculate prob of sequence yyi when three letters picked without replacement from iyyiyiy. 6/35 What is prob of sequence rraa when four letters picked without replacement from {a: 2, r: 9}? 1/55 Four letters picked without replacement from vvvvavavaavavv. Give prob of sequence vaaa. 45/2002 Three letters picked without replacement from {j: 1, n: 2, q: 3, v: 2, i: 6, r: 4}. Give prob of sequence jnv. 1/1224 Two letters picked without replacement from {c: 2, f: 1}. Give prob of sequence fc. 1/3 Two letters picked without replacement from ppppppppsppp. Give prob of sequence ps. 1/12 Four letters picked without replacement from {y: 5, n: 2, a: 2}. Give prob of sequence anay. 5/756 Calculate prob of sequence usng when four letters picked without replacement from ggunngynjnsg. 2/1485 Two letters picked without replacement from qvvv. What is prob of sequence vv? 1/2 Two letters picked without replacement from {r: 1, z: 1, i: 2}. What is prob of sequence ii? 1/6 What is prob of sequence fo when two letters picked without replacement from iofooiioiiooo? 7/156 Calculate prob of sequence ppkm when four letters picked without replacement from {p: 4, m: 3, h: 4, i: 1, k: 1, a: 1}. 3/2002 What is prob of sequence yyk when three letters picked without replacement from ykykyky? 6/35 Calculate prob of sequence kdd when three letters picked without replacement from iiikitkickddiiki. 1/420 Four letters picked without replacement from {g: 5, o: 8}. What is prob of sequence gogg? 4/143 Calculate prob of sequence ipwp when four letters picked without replacement from pwivvrprrr. 1/2520 Two letters picked without replacement from {j: 3, z: 2, e: 4, a: 1, f: 2, k: 2}. What is prob of sequence az? 1/91 What is prob of sequence hjgd when four letters picked without replacement from ghjggaghggdaa? 1/1430 Four letters picked without replacement from {q: 2, t: 2, y: 1}. What is prob of sequence ttyq? 1/30 Four letters picked without replacement from {z: 3, a: 1, m: 3, x: 1, o: 2}. Give prob of sequence moxz. 1/280 What is prob of sequence itu when three letters picked without replacement from {i: 1, u: 5, q: 5, t: 5}? 5/672 Calculate prob of sequence qvv when three letters picked without replacement from qvcqqqqoqqocqvcvocqq. 1/114 What is prob of sequence dt when two letters picked without replacement from dtdddtdttddtd? 10/39 What is prob of sequence vl when two letters picked without replacement from oeleoveoooolveoo? 1/60 Three letters picked without replacement from ymbymmyjbs. What is prob of sequence mys? 1/80 Four letters picked without replacement from jywmkksysjjjkjmmjjs. Give prob of sequence mwjy. 7/15504 What is prob of sequence wwxw when four letters picked without replacement from xxwxw? 0 What is prob of sequence cm when two letters picked without replacement from {s: 1, n: 3, c: 1, m: 6, z: 3}? 3/91 What is prob of sequence vt when two letters picked without replacement from tmvvjvp? 1/14 Calculate prob of sequence idi when three letters picked without replacement from {r: 1, i: 12, d: 7}. 77/570 Three letters picked without replacement from psspspppspspppppps. Give prob of sequence sss. 5/204 Two letters picked without replacement from {k: 5, r: 9}. Give prob of sequence kr. 45/182 Calculate prob of sequence pz when two letters picked without replacement from eexpbbz. 1/42 Two letters picked without replacement from qfqqlqqhl. What is prob of sequence fh? 1/72 Calculate prob of sequence tatx when four letters picked without replacement from {x: 1, a: 2, t: 2}. 1/30 Two letters picked without replacement from nuzzupuupucpz. Give prob of sequence nz. 1/52 Four letters picked without replacement from rzzrzrzrrzzzz. Give prob of sequence zzrz. 14/143 Calculate prob of sequence zhzj when four letters picked without replacement from hhzzhzhhjhjzehh. 8/1365 Two letters picked without replacement from wozio. What is prob of sequence wo? 1/10 Two letters picked without replacement from {q: 2, l: 4, k: 3, y: 1, r: 1}. Give prob of sequence rr. 0 What is prob of sequence nkvx when four letters picked without replacement from nnkvxnxvvkns? 2/495 What is prob of sequence yn when two letters picked without replacement from {o: 2, y: 4, n: 1, d: 2}? 1/18 Calculate prob of sequence kr when two letters picked without replacement from fvsafkrfvvs. 1/110 Four letters picked without replacement from ydyyydyjyjjjyjjj. Give prob of sequence yyyj. 7/208 What is prob of sequence ewr when three letters picked without replacement from qtqrwteeerrnww? 9/728 Three letters picked without replacement from nnxnnnnwrncxwnnwnwx. Give prob of sequence nxw. 20/969 Calculate prob of sequence xss when three letters picked without replacement from ssxsvxvvssvv. 1/33 Calculate prob of sequence oo when two letters picked without replacement from loaalalololoo. 5/39 Calculate prob of sequence cucr when four letters picked without replacement from {n: 6, u: 3, r: 3, d: 1, c: 3}. 9/7280 What is prob of sequence lzzz when four letters picked without replacement from {z
{ "pile_set_name": "DM Mathematics" }
est value? (a) -15 (b) -1/7 (c) -0.303 (d) -91 (e) 4/7 (f) -4 f Which is the second smallest value? (a) 4.822 (b) 6.3 (c) 3 a Which is the third smallest value? (a) 392/3 (b) -1216 (c) 2/13 a What is the second biggest value in 50, 0, 3/2, -25444? 3/2 Which is the second smallest value? (a) -10 (b) -38 (c) -503 (d) 6 b What is the smallest value in 0.2, -2059, 0, 0.01, -0.43? -2059 Which is the smallest value? (a) 1/6 (b) -5 (c) -21 (d) 7812 c Which is the second smallest value? (a) -1 (b) -1.3 (c) -5/181 (d) -0.35 (e) 5 a What is the fourth biggest value in 3, 2461, -0.4, -2.5, 9, -8? -0.4 Which is the second biggest value? (a) 0.1 (b) -25 (c) 1/4 (d) -0.1 (e) 1051 (f) -3 c What is the sixth biggest value in 4, 4.5, 0.3, -4, -5, -157, 0.1? -5 What is the fourth biggest value in 0.2, -5/3, 5, 2, -2, -20, 2/379? 2/379 What is the fourth smallest value in 5, -68842, -16, 1/4, 4? 4 What is the biggest value in 4, -30.6, -274/9, -5, -1/3? 4 Which is the biggest value? (a) 20 (b) 1/2 (c) -2 (d) 5 (e) -0.3 (f) 5/3 (g) -89.46 a What is the fourth smallest value in -3, 0, -1, -0.0212, 78, -2, 2? -0.0212 Which is the sixth smallest value? (a) -2/43 (b) 11 (c) -5 (d) -1 (e) -3 (f) -0.31 (g) -3/4 a What is the biggest value in 4, -1/6, 0.1, -0.5, -8, 43? 43 Which is the biggest value? (a) 39 (b) 13 (c) -2/5 (d) -1/5 (e) 1/2 (f) -28/23 a What is the fifth smallest value in -1/7, -4443, 2/195, -3/5, 17? 17 What is the biggest value in 9231662, 4, 1/3, -9? 9231662 What is the smallest value in 0.5, -4, 1, 14, 2/271? -4 Which is the second biggest value? (a) -580 (b) -4 (c) -3218 a What is the smallest value in -2/9, -4, 12, -2, -1.1, 71, 1/4? -4 Which is the second smallest value? (a) -144 (b) 0.4 (c) -27 (d) 2 (e) -4/7 (f) -3 (g) 59 c Which is the third biggest value? (a) 0.5 (b) -4 (c) -2/151 (d) -0.12 (e) -18 (f) 0.2 (g) 2/19 g What is the second biggest value in 1, 0.2, -298.4, -1/14, -17? 0.2 Which is the biggest value? (a) 1/3 (b) 0.2 (c) -71 (d) 292 d Which is the biggest value? (a) -1/313 (b) -3 (c) -0.08 (d) -1.4 a What is the smallest value in 1/3, -8, 2, 68.73, -8/3? -8 Which is the smallest value? (a) -23 (b) 12 (c) 16747 a Which is the third biggest value? (a) 2/503 (b) 151 (c) -5/2 (d) 8/3 a Which is the sixth smallest value? (a) 2/5 (b) 2 (c) -2/11 (d) -9 (e) 2/21 (f) -34 b Which is the sixth biggest value? (a) -19/12 (b) 5 (c) 8 (d) 1/3 (e) 2/7 (f) 5/6 (g) 0 g Which is the second smallest value? (a) -5 (b) -1/4 (c) 13 (d) 8915 b Which is the third biggest value? (a) -71 (b) -0.6 (c) -2 (d) -233 (e) 8/5 c Which is the third smallest value? (a) -3 (b) -0.236 (c) -1/6 (d) -1.2 (e) -0.5 (f) 0.06 (g) 0.4 e Which is the third smallest value? (a) 1/4 (b) -5 (c) -1 (d) 4/37 (e) -22 (f) 19 (g) 5 c Which is the third smallest value? (a) -12 (b) 2/71 (c) -10 (d) 1/2 (e) -6/13 (f) 3 e Which is the sixth smallest value? (a) -5 (b) 5 (c) -1/4 (d) -1 (e) -313/22 (f) -3 (g) 0.2 g Which is the third smallest value? (a) 2 (b) -1/6 (c) 13/10 (d) 0.8 (e) 17 c Which is the smallest value? (a) 302 (b) -5 (c) -3 (d) 2/5 (e) -0.9 (f) 2 (g) 3 b What is the third smallest value in 0.114, 1.074, 4/7? 1.074 Which is the second biggest value? (a) 4/9 (b) -1 (c) 23/70 (d) -1/15 c Which is the smallest value? (a) -1/66 (b) 2/7 (c) 4 (d) -40 (e) 3 (f) -2 d What is the second biggest value in -2/5, 1/2, 1/7, -9, 51, 0.1, 2/9? 1/2 What is the sixth biggest value in 0.1, 3, -1, -4, -25, 1/9, 187.01? -4 Which is the second biggest value? (a) -32 (b) -3 (c) 0.2 (d) -0.5 (e) 0.01 (f) -0.076718 e What is the smallest value in 51/2, -11, -3683? -3683 What is the smallest value in -2/19, -2, 0.04, -5/3, 5/13, 2, -1/4? -2 Which is the smallest value? (a) 12 (b) -1146225 (c) 4 (d) 2 (e) -5 b What is the biggest value in 1168/7, -1794, -1/4? 1168/7 Which is the biggest value? (a) -1/6 (b) -4 (c) -1/17 (d) -2.4 (e) 5.9 e Which is the fourth smallest value? (a) -18/13 (b) -61 (c) -101 (d) -1/5 (e) 2/11 d Which is the biggest value? (a) -6690363 (b) -1/20 (c) -3 b What is the fourth smallest value in 1, 5, -1010, 23, 31/6, 0.1? 5 What is the fourth biggest value in -253, 9, 0.09, 20? -253 What is the smallest value in -4, 37, 2/13, 153, 1/10, -0.004? -4 Which is the biggest value? (a) -3/5 (b) -5 (c) 4/9 (d) -4 (e) -3 (f) 2225/3 (g) -0.4 f What is the third smallest value in -79, 5, 254974? 254974 What is the second biggest value in -5986077, -5/6, 0.1? -5/6 Which is the second smallest value? (a) 0.2 (b) 3 (c) -2 (d) 0.15 (e) -82 (f) 1 c Which is the second biggest value? (a) 1/81 (b) 33 (c) -6050 a What is the biggest value in 0, 366074, 0.3, 10, -20/7? 366074 What is the fifth biggest value in 475, -2/3, 5, -0.5, -10/3? -10/3 Which is the third biggest value? (a) 0.3 (b) 128392 (c) -4/7 c Which is the third smallest value? (a) -6 (b) 107/9 (c) -0.055 (d) 1 (e) -4/3 (f) 0.1 (g) -139 e What is the biggest value in 4639, 15005, -3/4? 15005 What is the fifth biggest value in -2/3, 0.04, 5, 3967, -0.3? -2/3 Which is the third biggest value? (a) -0.3 (b) 136 (c) -8 (d) 12 (e) -10 (f) -5/2 a Which is the biggest value? (a) -28478 (b) -4 (c) 2/23 (d) 0.3 d Which is the third biggest value? (a) -2/5 (b) -13688705 (c) -5 b Which is the third biggest value? (a) -151 (b) -2/7 (c) -0.12 (d) 6024 b What is the second biggest value in -148234.6, 2/23, -3? -3 What is the fourth smallest value in 10, 1, 0.4, -0.31, -34, 0.09, 2? 0.4 What is the second biggest value in 2, 0.4, 1/2, -7/7369? 1/2 Which is the second biggest value? (a) -11.484 (b) 2/3 (c) -4/3 (d) 1459 b Which is the third biggest value? (a) 69 (b) -29592 (c) -19 b What is the biggest value in -11346, -2, -4, -112, -0.1? -0.1 What is the smallest value in -246, -0.2, 1265, 0? -246 What is the second biggest value in 183, 4/5, 0.86, 48, -2/15, -4? 48 What is the second smallest value in 5, 0.5, 1.6, 0.1, -50? 0.1 What is the fifth smallest value in -2/15, -26, -1/3, -1, -5394, -16? -1/3 Which is the fifth smallest value? (a) 4 (b) 31 (c) 3 (d) -8 (e) -5 (f) -2/23 a Which is the fourth smallest value? (a) 61/4 (b) -73 (c) 0.3 (d) -9 (e) -0.2 (f) 3/5 c Which is the third smallest value? (a) -22/3 (b) -98474 (c) 2/45 c Which is the fourth biggest value? (a) -4 (b) 0 (c) 6092679 (d) 0.5 (e) 0.1 b What is the sixth smallest value in 4, -2, 0.1, -1/3, -3/2, 171, 1/2? 4 What is the third biggest value in -0.39, -0.34, 147, 0.2, -1/6? -1/6 What is the fifth biggest value in -1, 1/810, -45, 3/7, 1/33? -45 What is the third smallest value in 216, 183, 2, 1/2? 183 Which is the second smallest value? (a) 61.6 (b) -4 (c) 1278.4 a What is the fourth biggest value in 4, 281637, 66, -0.2? -0.2 Which is the biggest value? (a) 4/5 (b) -164 (c) 11 (d) -3 (e) -5 (f) -32 c Which is the third biggest value? (a) -1 (b) 0.14 (c) -0.18 (d) 362 (e) -1/4 c Which is the fourth biggest value? (a) 1/6 (b) 1.1 (c) 15 (d) -48798 d What is the second biggest value in 3/179, 2/169, -0.21? 2/169 What is the biggest value in 37, -53/9, -5/9, -13/3, -2/3? 37 What is the smallest value in 0, 0.4, -9, -12754, -0.5? -12754 What is the fifth biggest value in -161, 1/8, 3/8, 0.1, 2.081? -161 What is the fifth smallest value in -2447, 0.5, -3, 3, -14.2? 3 Which is the second biggest value? (a) -37/4 (b) -5 (c) 1/1121 (d) -2/3 (e) 0.1 (f) -4.8 c Which is the third smallest value? (a) -12 (b) 0.0282412 (c) 5 c What is the seventh smallest value in -0.1, -22.6, 29, 2, -26/3, 3, -3? 29 Which is the third biggest value? (a) 3 (b) -0.27 (c) -3/103 (d) 4 (e) -0.0162 (f) 3/4 f What is the third biggest value in 0.2, -5, 178173, 0.01, -0.3, -4? 0.01 Which is the biggest value? (a) 21 (b) 2/23 (c) -0.3 (d) -4 (e) -3 (f) 2 a Which is the third smallest value? (a) 2/3 (b) -0.4 (c) 5/4 (d) 4337.9 (e) 11 c What is the third smallest value in -38, 2/77, 5, 0.1, 0.67? 0.1 Which is the third smallest value? (a) -0.2 (b) 68084 (c) -279 b What is the fourth smallest value in 2/3, -2/9, 0, 22/1117? 2/3 What
{ "pile_set_name": "DM Mathematics" }
4 (c) z a Let k = 1/2066 - -103291/18594. Let w = 10705 - 385589/36. Let n = k + w. Which is the second smallest value? (a) 5/3 (b) -1/20 (c) n b Suppose -363 + 43 = -5*s. Let u = s - 62. Let t be 3/(-6) - 7/u. What is the third smallest value in t, 2/9, -2/3, 6/7? 2/9 Let q = -3049 - -3050.94. What is the second biggest value in 3, q, -4, 0.4? q Let s be (-10)/((-1040)/(-24)) - (-225)/(-1560). Which is the fifth smallest value? (a) -3 (b) 2/3 (c) 15 (d) -1/3 (e) s c Suppose 5*p + 8*t = -11, 5*t = -4*p + 6*p - 12. Let l be (-22)/(-80) - (-14)/(-35). Let y = 0 - 0.2. Which is the smallest value? (a) y (b) l (c) p a Let u = 14329 + -14334. Let j = -1 + -2. Which is the third biggest value? (a) u (b) -2 (c) j a Let n be (-5)/(-4)*(-2)/(-10). Let i(x) = -x**3 + 36*x**2 - 67*x + 39. Let u be i(35). Let t = -1087 - u. What is the second biggest value in n, 2, t? n Suppose 2*z + 3*l - 34 = 0, 0 = -5*z + 3*l + 29 - 28. Which is the third biggest value? (a) z (b) 2/7 (c) 0.322 b Let s = -1/12 + 19/84. Suppose 0 = -1674*c + 2531*c - 5999. What is the biggest value in s, c, -1/8, 2/5? c Let u = 0.1 + -0.3. Let m = 362111.4 - 362111. Let w = -788/2807 - 2/401. What is the second biggest value in -0.3, u, w, m? u Let i = 803/2240 - 71/448. Let r = -6 + 9. Let u = r + -5. Which is the smallest value? (a) u (b) i (c) -0.5 a Let m be (7 + (-672)/90)*22196/(-14). Let v = m - 740. Which is the third biggest value? (a) v (b) -0.07 (c) 1 a Suppose 11*w = -4 + 81. Let g = 526.7 - 527. What is the second biggest value in 4, 6, g, w? 6 Suppose 0 = x - 60 + 3. Suppose 27*p - 8*p + x = 0. Which is the second biggest value? (a) -3/10 (b) p (c) -5 b Let p = 0.0337 + 249.9663. Let z = p + -246. Which is the biggest value? (a) z (b) -1 (c) -70 a Let t = -2860 - -2863. What is the second biggest value in -0.5, 0.3, 1/2, 166, t? t Let l = 0.2144 + -0.3144. Which is the second biggest value? (a) -4 (b) l (c) 2/11 (d) -3 (e) 1 c Let x = 0.162 - -0.038. Let y = -83.25 + 83.2. What is the second biggest value in x, -1/3, 0.1, y? 0.1 Let f = -81.683 - -81.583. Let z be 2/28*(-1 + 3). What is the second smallest value in f, z, 39? z Let u = -138771 - -138768. Let h = 6947 + -21083/3. Let i = -80 - h. What is the biggest value in -5, 7, i, u? 7 Let w = -4 + -13. Let f = -11 - w. Let z = 0.10432 + -3.10432. What is the second biggest value in z, f, 3? 3 Let q = -9.9 + 0.8. Let z = q - -4.1. Let g = 20.5 + -20. Which is the third biggest value? (a) z (b) 0.3 (c) g (d) -1/4 d Let f = 13915/12 - 3481/3. What is the third smallest value in -0.9, -0.01, 3, f? -0.01 Let k = 10.31 + -12.31. What is the smallest value in k, -4, 7/125, 2? -4 Suppose -2*r + 2314 = -0*r. Let g = -49748/43 + r. Which is the biggest value? (a) 1 (b) g (c) -3 a Let t = -3085 + 3085. What is the smallest value in 2/13, -92, 4, t? -92 Let h = 3321 - 3115. Which is the smallest value? (a) 1 (b) 2/3 (c) h b Suppose 140 = -18*b + 10*b + 4. What is the fourth biggest value in -2/7, b, 2, 0? b Suppose 0 = 6284*r - 6276*r + 88. What is the fourth biggest value in r, 21, 0.5, 0.1? r Let f be (-4)/(4/5) + 14 + 574/(-56). Let b = -6 + 6. Suppose -3*g = -g - 2, -m - 4*g + 6 = b. What is the fourth biggest value in m, f, -0.3, -0.4? f Let v = 17 + -42. Let q be ((-64)/(-480))/(3/(-95)) + 4. Which is the biggest value? (a) v (b) q (c) -3 b Let j = -253/7 + 36. Suppose 882 = 111*n - 117*n. Let o be -8 - (10 + n/8). Which is the second smallest value? (a) 3 (b) j (c) 0.4 (d) o d Let t(l) = 4*l**3 - 15*l**2 + 5*l + 4. Let c be t(4). Suppose 67*p = 72*p - c. What is the second biggest value in 0.2, 5/3, p? 5/3 Let o = -211/15 - -67/5. What is the biggest value in o, 6, -135/2? 6 Suppose -43 = 5*p - 23. Let l be 1 - (-2*1 - 2). Let n = 1.911 + 0.089. What is the fourth biggest value in -1/2, p, n, l? p Let h = -233.18 - -232.2. Let v = 84.22 + -85. Let l = h - v. What is the third biggest value in -1, l, 15? -1 Let s = 23348 + -23345. What is the smallest value in -1/8, 1/4, 12, 24, s? -1/8 Suppose 0 = 4*i + 2*g - 15 - 49, i = 5*g + 38. Suppose 8 = s + 4*n + 20, -2*s - 5*n - i = 0. What is the third smallest value in 65, -1, s? 65 Let h be -30 - (0 + -19) - 21/(-3)*1. Let i be 5/2*2*-1. Which is the second biggest value? (a) h (b) i (c) 12 a Let i = 11 + -8. Let l = 0 + 1. Let w = -9494 - -9496. Which is the smallest value? (a) w (b) i (c) -1 (d) l c Let w = 0.082 + -0.045. Let d = -322.363 - -322. Let m = d - w. Which is the biggest value? (a) 1/2 (b) m (c) -1 a Let i = 226.44 - 237.44. What is the biggest value in -1/2, -14, i? -1/2 Let u = -13.167 - 0.033. Let o = 17 + u. Let t = o + -4.8. Which is the smallest value? (a) 3 (b) t (c) -0.5 b Let n = 2.89 - 5.816. Let x = 0.074 - n. Which is the second smallest value? (a) -0.1 (b) -97 (c) x a Let l = -0.4 + 0.2. Let x = -405 - -435.2. Let s = x - 29.2. Which is the fourth biggest value? (a) -1 (b) -2 (c) l (d) s b Let t = 86.86 + -86. Let p = t + 32.14. Let x = 29 - p. What is the third biggest value in 0.1, 3, x? x Let x = -0.13 + -1.37. Let s = x + 1.3. Which is the smallest value? (a) -1/2 (b) 0.05 (c) s (d) 0.1 a Let u = 15817 + -15816. What is the third smallest value in -0.14, -5, -49, u? -0.14 Let v = 0.04 - 0.023. Let h = -30.983 - v. Let z be (2/(-20) + 1)*490/294. Which is the second smallest value? (a) h (b) z (c) -1/4 c Let f = 19.4 + -17.2. Let h = -1 - -3. Let t = h - f. Which is the smallest value? (a) 4 (b) -1/13 (c) t c Let f = 810 - 617. Let n = f - 194. Which is the fourth biggest value? (a) 0.3 (b) -5 (c) n (d) -5.7 d Let n = -0.091 + -10.709. Let s = 4.2 - n. Let x = s + -15.5. Which is the third smallest value? (a) -4 (b) -1/3 (c) x b Let v = -0.391581 - -0.001581. Let r = -1.1 - 3.9. What is the third smallest value in r, v, 3, -0.2? -0.2 Suppose a = -6*n - 22, 6 - 2 = -2*a - 4*n. Let j = -1 + 2. Suppose 0 = -3*g - a - j. What is the second biggest value in g, -1/2, -0.2? -1/2 Let b be -6 - 1/(-1 + (-42)/(-52)). What is the second biggest value in b, -3/4, -4, -9? b Suppose -10*o = 58 - 118. Suppose -5*r - 29 = 4*k, -4*k - 2*r = o + 8. Which is the third smallest value? (a) k (b) 2/11 (c) -14 (d) 0.1 d Suppose 38*f = 33*f - d - 11, 4*f + 4 = 4*d. Let b be 30/7 - 4/14. Suppose 0 = 5*v - b - 1. What is the third biggest value in f, v, -2/3? f Suppose -o + 3*j = 7 - 2, -35 = -5*o - 5*j. Suppose o*i = 3*p + 4, -4*i + 4*p + 6 = i. What is the biggest value in 6, 2/11, i? 6 Let g = 194 - 167. Let y = -346 + 315.9. Let s = g + y. What is the third biggest value in 5, s, 2/7? s Let j = -1445.5 - -1445. Which is the third smallest value? (a) 0.2 (b) j (c) 0 (d) -3 (e) 0.04 c Let t = 541 - 518. Suppose -4*p - 1 = -7*p + 5*y, 5*p + 4*y + t = 0. What is the third biggest value in -2/3, p, 1/3, 3? -2/3 Let h = -576.8 - -577.8. Let z = 4 - 4. Which is the smallest value? (a) 0.5 (b) 0.9 (c) z (d) h c Let f be (130/(-24))/(-13)*(-30)/(-50). Which is the second smallest value? (a) -6/11 (b) 3/5 (c) f (d) -4 (e) -5 d Let s = -612.4 - -613.4. Which is the fifth biggest value? (a) -1 (b) -1/4 (c) 4 (d) 0.086 (e) s a Suppose 12*m - 43 = 9*m + 5*x, x = -3*m - 5. Suppose 2*t + 2 = -0. Which is the fourth smallest value? (a) m (b) -1/4 (c) -0.5 (d) t a Let z = 3956 + -3959. Which is the biggest value? (a) 4 (b) -3/4 (c) -3/2 (d) -0.2 (e) z a Let i = 77.018 + -0.018. Let g = i - 77.1. What is the fourth smallest value in g, 0.3, 2, 4/3? 2 Let g(a) = -a**3 + 11*a**2 + 21*a + 64. Let z be g(13). Let b be (-4)/10*(z/(-2))/(-1). What is the smallest value in 0, b, -2/11? -2/11 Let f = 2320 - 2335. What is the smallest value in -0.09, 2/17, 0, f? f Let h = 6.6 + -6.6. Let x = 5 - h. Suppose 0 = s - 1 - 0. What is the second smallest value in s, x, 0? s Let f = 6.451 - 1.451. Let p = -56/9 + 50/9. Let z = 12 - 8. Which is the second smallest value? (a) z (b) f (c) p a Let h = 0.03 - -0.17. Let v = -526534/309 + 1704. Let d = v - -604/2163. What is the biggest value in d, -5/2, h, 3/7? 3/7 Let a = 206 + -206. Suppose a = -15*k + 32*k. What is the second smallest value in -2/3, k, 10? k Let l = -28 + 29. Let q be 12 - (3230/270 - 0). Which is the biggest value?
{ "pile_set_name": "DM Mathematics" }
*z**2 and give m. -13272 Rearrange (-2 + 4 + 0)*(4 - 4 - m) + (-2*m + m + 2*m)*(1 + 0 + 0) + (1 + 2 - 1)*(12 + 54*m - 12) - 3*m + 2*m + 6*m to the form t*m + h and give t. 112 Rearrange (0*p**2 + 4*p**2 - 6*p**2)*(-6 + 2 - 3 + (0 + 0 + 1)*(64 - 228 - 63)) to l + y*p + k*p**2 and give k. 468 Rearrange 2*d + 1 - 1 - 3*d + d + 0*d + 0*d + 0*d + 2*d + (-4 + 0 + 5)*(-2*d - 2*d + 6*d) + (6 + 8 - 7)*(151*d - 78*d - 83*d) to o + k*d and give k. -66 Rearrange 2*w**4 + 2*w**2 + 482*w**3 - 3*w**4 + 482*w**3 + 2*w**2 - 7*w**2 to v*w + r + a*w**3 + b*w**4 + h*w**2 and give h. -3 Rearrange 43400*z - 2 + 4 - 41354*z to the form n + h*z and give h. 2046 Rearrange 9 - 18 + 10 + 685*y + 2 to the form f + z*y and give z. 685 Rearrange 7316*f**3 - 12 - 4895*f**3 + 6955*f**3 + 11 to the form g*f**3 + l*f**2 + k*f + o and give o. -1 Rearrange -64*i**3 + 136*i**3 - 2*i**2 + 216682*i + 1 + 108*i**3 - 216680*i to the form x*i**3 + a*i**2 + h + k*i and give h. 1 Rearrange (67 - 18 + 329*m - 53)*(12 + 10 - 6) to s + r*m and give r. 5264 Rearrange -1828*p + 1980 + 126*p - 1980 to h*p + y and give h. -1702 Express w**4 + 2 - 15*w**3 - 20*w**4 + 20*w**4 + 0*w**4 - 3 - 2*w**2 + w as r*w**3 + f*w**2 + c + h*w + m*w**4 and give h. 1 Rearrange (3 - 1 - 4)*(-1115*a**3 + 16*a**4 - 2613*a**2 - 5786*a**2 + 8399*a**2) to t*a + b + v*a**4 + l*a**2 + n*a**3 and give l. 0 Express -68964*u**3 - 68959*u**3 - 16*u**2 + 6 + 2*u - u**4 + 137922*u**3 as k + y*u**3 + a*u**4 + j*u + f*u**2 and give a. -1 Express (127157 - 127157 - 375*n)*(4*n**2 - n**2 - 5*n**2)*(-4*n + n + 5*n) in the form p*n + g*n**3 + h*n**4 + q*n**2 + k and give h. 1500 Express 102 - 35 - 92*v - 28 + 2*v**2 - 31 as g + k*v + y*v**2 and give g. 8 Express -14*k**4 + 14*k**2 - 6*k**2 - 12*k**2 + (-2*k**2 + 3*k - 3*k)*(13*k**2 - 39*k**2 + 6*k**2) as x + m*k + b*k**2 + n*k**4 + f*k**3 and give n. 26 Rearrange o**2 + 16*o + 2*o**4 - 16*o**3 + 0*o**2 + 22*o**3 - 15 + 15 to p*o**3 + x*o**4 + z*o + a*o**2 + b and give p. 6 Express (1614*k**2 + 2742*k**2 + 1464*k**2 - 1 - 806*k**2)*(12 - 12 - 6*k)*(-4 + 2*k + 4) in the form u*k**3 + d*k + b + r*k**4 + c*k**2 and give c. 12 Express ((-4 - 2 + 4)*(3*a - a + 0*a) + a + 2*a + 0*a)*(-4 + 0 + 2)*(-5 + 8 + 12)*(-63 + 104*a + 63)*(-3 + 3 + 2) in the form w*a**2 + u + n*a and give w. 6240 Express -37*z - 9*z + 8*z - 4 + 3 - 4 + 3*z + (5 - 1 - 2)*(-2*z + 2*z + 2*z) + 3*z + 0*z + 0*z in the form g + l*z and give l. -28 Rearrange -9080*k - 12 + 12 - 3049*k to y + z*k and give z. -12129 Rearrange (-1769*k - 11142*k + 2279*k + 1046*k - 9278*k)*(2*k**2 - 2 + 2) to b + n*k**2 + v*k**3 + x*k and give v. -37728 Rearrange -2*u**2 + 31*u + 22516 + 13*u**4 - 45033 + 16*u**4 + 22517 to l*u**4 + m*u**2 + a*u + b + j*u**3 and give m. -2 Express (-183 + 148 - 310 - 2 + 3 - 2 + (3 - 4 + 0)*(3 - 4 + 0))*(19*o**3 + 47 - 47) in the form f*o + w*o**3 + d + u*o**2 and give w. -6555 Express (-396480*c**2 + 792962*c**2 - 396478*c**2 - 115*c)*(-c**2 - 3 + 5 + 2*c - 1) as a*c**2 + p + n*c + m*c**4 + i*c**3 and give n. -115 Express 79*b**3 + 4 - 39*b**3 - 6 + 6*b**2 + 3*b - 47*b**3 - 17*b**3 as t*b + x*b**2 + a*b**3 + h and give h. -2 Rearrange -629 + 1881 - 627 - 625 + 7210*w to the form n + u*w and give u. 7210 Rearrange -139*n**2 + 414*n**2 - 11 - 2*n - 51*n**2 - 99*n**2 to the form i*n**2 + x*n + p and give p. -11 Express -27*h**2 + 4790*h + 25*h**2 - 4793*h + 2 + 683*h**3 as k*h**2 + n*h**3 + d + q*h and give d. 2 Express (-4*w**2 - 21 + 21)*(-3*w + 4 - 4) - 14905 + 14905 - 279*w**3 in the form z*w + k*w**2 + l + u*w**3 and give u. -267 Rearrange 370*o + 369*o - 1494*o + 378*o + 379*o - 2374 to x*o + c and give x. 2 Express -251 - 184*x**2 - 30*x + 251 - 107*x**2 as a*x + u + w*x**2 and give a. -30 Express -b**2 - 3*b**2 + 5*b**2 - 64 + 35 + 85 + 3*b**2 - b + b - 4*b**2 + (3*b**2 - 1 + 1)*(-3 + 1 + 4) as h + w*b + j*b**2 and give h. 56 Express -72*n**4 + 3499 - 3*n - 2*n**3 - 3492 + 0*n as k*n**4 + d*n**3 + l*n**2 + b + u*n and give u. -3 Express 3*y - y - 4*y + (-6*y - 2 + 2)*(-9 - 72 + 26) in the form o + x*y and give x. 328 Express 9*a**2 + 5 + 6*a**2 + 37*a - 35*a - 30*a**2 + 1 - 3*a**3 in the form w*a**2 + s + c*a + h*a**3 and give c. 2 Express -r**2 - 1280*r**3 - 22 + 42 + 2*r**2 - 23 + 0*r**2 in the form o + n*r + v*r**3 + y*r**2 and give o. -3 Express 0 + 0 + 2*s + (-3 + 3 - 2*s)*(0 - 3 + 5) - 2*s + 3*s - 2*s + 1121*s + 14742*s - 5953*s + (-s + 2*s - 2*s)*(0 + 2 + 0) in the form l*s + g and give l. 9905 Express -3*g + 7*g**3 - 9120560 + 5*g**2 + 5*g**3 + 9120562 as y*g + x + f*g**2 + v*g**3 and give x. 2 Express -308*x**2 + 95*x + 2130*x**2 - 95*x + 990*x**2 in the form o*x + z + s*x**2 and give s. 2812 Express -51*q**3 + 18*q**3 - 2*q**2 + 7*q**3 + 9*q**3 + 27*q - 7*q as m*q**3 + p*q**2 + n + l*q and give m. -17 Rearrange -j**2 + 104*j**3 - 86*j + 220*j - j**4 - 58*j - 106*j**3 to the form p*j**4 + s*j**3 + y*j + i + r*j**2 and give r. -1 Express (-1 + 1 - 4*l)*((162*l - 276*l + 143*l)*(-1 - 1 - 7) + (1 - 2 + 3)*(l - 4*l + 0*l)) in the form x + i*l**2 + h*l and give i. 1068 Rearrange 5 + 148923*o - 2586*o**2 - 148923*o - 2 to q*o**2 + w + j*o and give w. 3 Rearrange 46 - 5 + c**2 + c**2 - 173*c - 230*c + 405*c to g + x*c + f*c**2 and give x. 2 Rearrange -g**3 + g**2 + 7 - 12*g**4 + 22*g**3 + 2*g**3 to s*g + p*g**4 + c*g**3 + b*g**2 + l and give c. 23 Express (4 + q - 5 + 2)*(-107 + 151 + 869) as l*q + d and give d. 913 Rearrange 2*q**3 + 78472 - 57*q**4 - 78463 + 16*q**4 to the form l*q + w*q**2 + f*q**3 + z*q**4 + n and give n. 9 Express (1 - 1 - 2*p)*((65 + 21 - 11)*(-3 + 2 - 2) + 5 + 0 + 4) as i + v*p and give v. 432 Express 5253*m + 3485*m + 2474*m as t + w*m and give w. 11212 Express 39*d**3 + 4*d**2 - 2*d + 47*d**3 - 96*d**3 in the form y*d**2 + c*d**3 + s + b*d and give b. -2 Express (28 - 11*u**2 - 28)*(5 + 2 + 1) + (u - u - 2*u)*(-6 - 16*u + 6) as d*u + m + i*u**2 and give i. -56 Express 72*g + 78 - 4*g**3 - 2*g**2 - 77*g - 138 + 2*g**3 - 2*g**3 in the form z*g + m*g**2 + y + l*g**3 and give y. -60 Express 474 + 110*r**2 - 56*r**2 - 53*r**2 + 248 - 2*r in the form f*r**2 + u + s*r and give f. 1 Express (4*u - 2*u + u)*(-6 + 6 - 6985*u + 8403*u) as m*u + n + g*u**2 and give g. 4254 Express 1166*u + 1068*u - 149*u + 1241*u in the form b + h*u and give h. 3326 Rearrange -40*q**4 - 47*q**4 + 0*q**2 + 27*q**2 + 85*q**4 + 49 to the form x*q + w + n*q**3 + t*q**2 + k*q**4 and give k. -2 Express 50*d - 3*d + 109*d + 490*d**3 - 491*d**3 - 3 + 2*d**2 in the form n + z*d**3 + l*d + v*d**2 and give z. -1 Rearrange (-3*u + 3*u + 2*u)*(5 + 24 + 24)*(-91*u + 91*u - 2*u**3) to p*u**3 + y*u**4 + m*u + s*u**2 + b and give y. -212 Rearrange (-1 - 4 + 2)*(6*o - 2*o - 3*o) + (o - 6 + 6)*(-4 + 6 + 5) + (1 + 0 + 0)*(211 - o - 211) to b + t*o and give t. 3 Express (-17*o + 5*o + 4*o**2 + 13*o)*(8303 - 5780 - 4975) as s + d*o**2 + u*o and give d. -9808 Express (26*q**2 - 52*q**2 + 23*q**2)*(2*q - 1 + 1) - 19*q**3 + 41*q**3 - 9*q**3 as t*q**2 + i*q + k*q**3 + r and give t. 0 Rearrange 131247*m**2 + 13 - 4 - m**4 - 61*m**3 - 131245*m**2 + 0*m**4 to l*m + u + h*m**4 + n*m**2 + g*m**3 and give n. 2 Rearrange -616*z**2 + 1234*z**2 + 7*z**3 - z - z**3 - 621*z**2 - 4 + 2*z**4 + 2*z to the form s + v*z**2 + g*z**4 + o*z**3 + m*z and give m. 1 Express ((-2 + 2 - 1)*(-71 - 46 + 168) - 1 + 2 - 3)*(-23*a - 13*a + a + (5 - 3 + 0)*(-2*a - 1 + 1)) as r*a + m and give r. 2067 Express 180 - 25*j**2 + 71 - 273 + 44 as z*j**2 + x + p*j and give x. 22 Rearrange -16673*t + 16672*t - 7*t**4 + 5*t**4 - t**2 - 30 to the form g*t + i*t**4 + k*t**3 + h*t**2 + o and give h. -1 Rearrange (-3 + 0 - 1)*(-k + k - 2*k) + 3*k + 2 + 11*k - 2*k + (2*k + k - 4*k)*(-60 + 27 + 19) to f*k + l and give l. 2 Express -126*u**3 + 46*u**3 + 0*u**3 + (-1 - 1 - 1)*(-23*u**3 - 2*u**3 + 2*u**3) as m*u + h*u**2 + c*u**3 + n and give c. -11 Rearrange -4680*k - 21244*k - 20425*k + 1503*k to m*k + p and give p. 0 Rearrange 40*p**3 - 1039*p**2 + 1010*p**2 - 80*p**3 - 5*p + 37*p**3 to n + w*p + a*p**3 + u*p**2 and give w. -5 Rearrange 2*i**4 + 11*i**4 - 5*i**4 + (-5*i**3 + 4*i**3 - i**3)*(-14*i - i + 44*i) to the form h + x*i + o*i**4 + j*i**3 + v*i**2 and give o. -50 Express 4*i**3 + 5731 - 412*i + 2*i**3 - 5731 in the form a*i**2 + l*i**3 + m + t*i and give t. -41
{ "pile_set_name": "DM Mathematics" }
x. Let y(u) be the third derivative of p(u). What is y(7)? 5 Let t be 9/12 + 45/4. Suppose -t = -5*s - 2. Let g(u) = -9*u**s - 2*u**3 + u**3 + 4*u - 7 + 4*u**2. Calculate g(-6). 5 Let g(d) = -d**2 + 7*d - 7. Suppose 53*u - 514 = -37. Give g(u). -25 Let x(a) = 4*a**3 + a**2 - 9*a + 6. Let c(m) = 3*m**3 + 2*m**2 - 8*m + 5. Let n(p) = -5*c(p) + 4*x(p). What is n(5)? -6 Suppose -9*i + 30 = -4*i. Let s(f) be the third derivative of f**5/60 - f**4/4 - 2*f**3/3 + 2*f**2. What is s(i)? -4 Let j(p) = p**3 - 3*p**2 - 2*p + 4. Let u be j(3). Let l(s) = -s**2 + 4*s + 4. Calculate l(u). -8 Let k(w) = -16*w**3 - 35*w**2 + 18*w + 50. Let y(h) = -3*h**3 - 7*h**2 + 4*h + 10. Let r(p) = 2*k(p) - 11*y(p). Determine r(-8). -10 Let l(c) = c**3 - 3*c**2 - 724*c - 2*c**3 + 722*c - 2*c**2. Let t(f) = -f - 1. Let z be t(4). What is l(z)? 10 Let p(m) = -12*m - 21*m - 1 + 36*m. What is p(-7)? -22 Let x(t) = -t**2 - 9*t - 10. Suppose -60 = 5*s + 5*r, -2*s + 4*s + r + 20 = 0. Determine x(s). -2 Suppose 2*z + 5 = -1. Let j(u) = 18*u - 11*u - 16*u + 2*u**2 + 10*u. Calculate j(z). 15 Let m(k) = 2*k + 2. Let f(d) = d**3 - 5*d + 3. Let h be f(1). Determine m(h). 0 Let c(a) = -4*a**2 - a + 1. Let y be c(1). Let l(q) = -3*q - 1801 + 1795 + 0*q - q. Give l(y). 10 Let k(c) = 5*c**3 - 2*c - 13. Let j(h) = 8*h**3 - 3*h - 24. Let a(r) = 3*j(r) - 5*k(r). Let v = -1 + 1. Calculate a(v). -7 Suppose 3*s = -9 + 27. Let c be ((-2)/s)/(14/(-294)). Let w(d) = d**3 - 6*d**2 - 7*d - 1. Calculate w(c). -1 Let i be 4/4 + -2 + -5. Let b(y) be the first derivative of y**2/2 + 43. What is b(i)? -6 Let m(t) = 2*t**2 - 3*t + 4. Let z be m(1). Let h(a) = -a. Calculate h(z). -3 Suppose -2*u + 45 = 3*u. Let n(w) = w**2 + 9 + w - u*w + w. Suppose 0 = 28*f + 43 - 211. Calculate n(f). 3 Let w(h) = 2*h**2 - 15*h + 36. Let j be w(3). Let n(m) = m**3 - 8*m**2 - 11*m + 9. Give n(j). -9 Let b(j) = 3*j. Let m = -210 - -208. Determine b(m). -6 Let a(i) = 4*i - 4. Let f be 968/121 - -6*3/(-2). Give a(f). -8 Let c(o) = -o**3 - 5*o**2 - 4*o + 2. Let m be c(-4). Let p(t) = -16*t**2 + 2*t + 7*t**m - t. Calculate p(1). -8 Let u(a) = -379 + 190 + 30*a + 190. Give u(-1). -29 Let u(n) = -9*n**3 + 2*n**2 + n. Let y(o) = -8*o**3 + o**2 + 1. Let d(i) = -2*u(i) + 3*y(i). Let k be d(1). Let x(j) = j**3 + 6*j**2 - 3*j - 7. Give x(k). 11 Let y(h) = -h**3 - 7*h**2 + 2*h + 14. Let l be y(-7). Suppose l = -g + 2. Let m(w) = 2*w**2 + w. What is m(g)? 10 Let u(d) = 5*d**2 - d. Let g(m) = 2*m**2 + 11*m - 5. Let b be g(-6). What is u(b)? 4 Let n(z) = 70*z + 125. Suppose -c + 3*c - 110 = 0. Let s(u) = 5*u + 9. Let h(j) = c*s(j) - 4*n(j). What is h(-4)? 15 Let h = 8 - 12. Let r(u) = 2*u**3 + 5*u**2 - 5*u - 3. Let x(c) = -3*c**3 - 7*c**2 + 8*c + 4. Let s(y) = -8*r(y) - 5*x(y). Calculate s(h). -12 Let m be ((4 - (-15)/10) + -5)*12. Let l(s) be the second derivative of s**3/3 - 3*s**2 - 12*s. Determine l(m). 6 Let i = 7 + -4. Let g(t) be the first derivative of 2*t - 1/4*t**4 - 3 - 3/2*t**2 + 5/3*t**3. Determine g(i). 11 Let m(g) = -3*g - 6. Let b(h) = 7*h**2 + 9*h + 25. Let j(l) = l**2 + 1. Let o(c) = b(c) - 6*j(c). Let z be o(-7). Determine m(z). -21 Let a(t) be the third derivative of 5*t**2 + 1/6*t**3 - 1/3*t**4 + 0 + 0*t. Calculate a(-1). 9 Suppose 6*d + 1 - 13 = 0. Let c(m) = 10 + 5*m**3 - 6*m**3 - 30*m**d + m + 22*m**2. Calculate c(-8). 2 Suppose -3*m + 5 = -2*m. Let s(x) = m*x**2 + 4 - x**2 - x**3 - 7 - 2*x. Let o be (-2 + 5)/(4 - (-18)/(-6)). Determine s(o). 0 Let l(z) = -z**3 + 3*z**2 + z - 2. Let s be l(3). Let w(g) = 28*g**3 - 1 + g - 6*g**3 - g**2 - 16*g**3. Let u be w(s). Let c(q) = q. Calculate c(u). 5 Let n(g) = -4*g + 2. Let w(p) = 9*p - 3. Let x(a) = -7*n(a) - 3*w(a). Let z = -155 + 160. Calculate x(z). 0 Suppose -17*z = -0*z - 34. Let a(d) = 4*d**2 + 13 - 2*d**z + d - 3*d**2 + 2. Calculate a(0). 15 Let w(f) = f**2 - f - 2. Suppose 46*u - 47*u = -8. Suppose -10*x - 4 = -u*x. Calculate w(x). 4 Let g(y) = -10*y**3 - y**2 + 1 + 4*y**2 - y**2 - 2*y. Suppose 0 = -d + 2*v - 2, 0 = 2*d - v + 11 - 22. Suppose 14*l = d*l + 6. What is g(l)? -9 Let q(a) be the second derivative of -a**3/6 - a**2/2 + 2*a - 15. Suppose -4*g = -19 + 7. What is q(g)? -4 Let i = 23 + -30. Let k(s) = -s**2 - 7*s - 3. Let z(n) = -2*n**2 - 14*n - 6. Let c(q) = 7*k(q) - 4*z(q). Calculate c(i). 3 Let a(d) = d**3 + 12*d**2 - 30*d + 30. Let j be a(-14). Let n(h) = -5 - 124*h**2 - 5*h + j*h**2 + h**3 + 61*h**2. Calculate n(6). 1 Let r(t) = -t - 2. Suppose -11 = -2*l - 15. Give r(l). 0 Let q(k) = 1 + 125*k**2 - 170*k**2 + 4*k - k**3 + 39*k**2. What is q(-6)? -23 Let x(h) be the third derivative of h**5/60 + h**3/3 - 10*h**2. Let f be 2 + (-2)/1 + (9 - 9). Give x(f). 2 Suppose -x - 3 = -5*d, 0 = 2*d + 4*x - 3 + 15. Let n(y) = 50*y + 47*y - 6 - 96*y. Determine n(d). -6 Suppose -5*k = -4*u - 36 - 68, -4*u - 4 = 0. Let c be k/15*3/(-2). Let w(r) = 2*r + 1. What is w(c)? -3 Let v = -422 + 426. Let w(h) = -h**2 + 3*h + 5. Calculate w(v). 1 Let i(j) = j**2 - 4*j + 3. Let w be ((-14)/(-21))/(2/(-3)) + 1. Let n be w + (-2 - -3) - -3. Give i(n). 3 Let y(z) be the second derivative of -z**5/20 + 5*z**4/12 - 7*z**2/2 - 503*z. Let r = 1 + -4. Let m be 40/12*r/(-2). What is y(m)? -7 Let o(v) = -4 + 4 + v**3 + 2*v + 1 - 2*v**2. Suppose 3*q - 2*q - 50 = 0. Let p = q + -48. Calculate o(p). 5 Let t(d) = 362*d - 361*d - 14*d**2 + 12*d**2. What is t(-2)? -10 Let n(c) = 12 + 1 + c**2 + 2*c - 3 - 7. Determine n(-4). 11 Let b(q) = -q**2 + 5*q. Suppose -710*d - 4 = -711*d. What is b(d)? 4 Let m(y) be the third derivative of y**4/12 - 13*y**3/6 - 3*y**2 - 29*y. What is m(11)? 9 Let b(v) = v**2 + 3*v. Suppose -f = -0*f - 8. Let y = 4 - f. Give b(y). 4 Suppose 0 = 4*x - 0*x - 84. Suppose -4*w - 20 = -4*k, 4*k - 3 = 5*k - 5*w. Let i be (-23)/k + 6/x. Let h(r) = r**2 + 3*r - 2. Determine h(i). -2 Let y(l) be the first derivative of 8*l**3/3 + l**2 + l + 107. Determine y(-1). 7 Suppose -2*a - 6 = -a. Let v(n) = 2*n + 6. Calculate v(a). -6 Let l = 28 + -28. Let s(q) = -q - 18 + l*q + 0*q + 7. What is s(-6)? -5 Let c(q) = 3*q**2 - q**3 + 0 - 4 - 2*q + 6*q + 4*q. Give c(5). -14 Let h(j) = -j**2 + 6*j + 3. Let r be h(6). Let q be ((-5)/3)/(85/(-102)). Let p(u) = -u**2 - 4 + u - 3*u**3 + q*u**3 + r - 3. Give p(0). -4 Let d = -314 - -314. Let k(s) = -s + 3*s**3 - 5 - 4*s**3 - 1 + 2*s**3. What is k(d)? -6 Let d(n) = 8*n - 3. Let f(b) = 16*b - 8. Let o(r) = -7*d(r) + 3*f(r). Calculate o(-2). 13 Let p(a) = a**3 + 3*a**2 - 5*a - 3. Let y be p(-4). Suppose -1 = 2*x + y. Let t(k) be the first derivative of 3*k**4/2 - k**3/3 - k**2/2 + 957. Calculate t(x). -6 Let p be ((-969)/38 - -18)*4/6. Let y(r) = -r - 7. Determine y(p). -2 Suppose j + 1 = 2*j, 0 = 3*b - 2*j - 4. Suppose 9 = b*v + 5. Let g(k) = -2*k**3 + k**2 - k + 1. Give g(v). -13 Let w be (-3 - (-10 + 2)/4)*-2. Let d(u) be the first derivative of 1/3*u**3 - 4 - 2*u + 1/2*u**w. Calculate d(2). 4 Let o = -83 + 83. Let s be 16/(-6)*((-6)/(-4) - o). Let r(x) = 2*x + 6. What is r(s)? -2 Let x = 39 - 36. Let w(m) = 12 - x - m + 5*m - 2*m. Give w(-7). -5 Let i(t) be the first derivative of -3*t**2/2 + 3*t - 734. Give i(-13). 42 Let j(t) = 2*t - 8*t**2 + 7*t**3 + 7*t**2 - 43 + 6*t**2 - 9*t. Let f(x) = -3*x**3 - 2*x**2 + 3*x + 21. Let i(s) = -5*f(s) - 2*j(s). Give i(0). -19 Let m(k) = -k**2 - 5*k. Let q be m(-3). Suppose 5*l = 5 + 5. Let x(u) = 11*u**2 + 4*u - 12*u**l + 4*u - u - 9. Determine x(q). -3 Let h(t) = -4*t - 1. Let p(r) = -5*r - 3. Let y(d) = 3*h(d) - 2*p(d). Calculate y(3). -3 Let z(d) = -d**2 - 5*d + 2. Suppose -j + 4*x - 17 = -0*x, -10 = -j - 5*x. Calculate z(j). 2 Let a(x) = 2*x**3 + 2*x**2 - 7*x + 5*x**2 - 3 - 3*x**3. Suppose 4*z = -q - 83, 266 = -2*q - 2*z + 76. Let k = -93 - q. Give a(k). -9 Let d(t) = 4*t + 9. Let b be d(0). Let o(u) = -b - 11 + 17 + u. Give o(0). -3 Let b(u) = -u - 1. Let o(j) = -4*j - 11. Let i(h) = -6*b(h) + o(h). Suppose 7*v = 8*v - 18. Let l = -13 + v. What is i(l)? 5 Let q(u) be the third derivative of u**8/6720 + u**7/420 + u**6/120 + u**5/40 + u**4/24 - 2*u**2. Let d(n) be the second derivative of q(n). Determine d(-5). -2 Let d = -6 - -8. Let u(q) be the first derivative of -5/2*q**2 - 2 + 3*q. Determine u(d). -7 Let p(y) = -y**2 - 9*y + 45. Let f be (-6)/(-45) - (1028/60 + -5). Determine p(f). 9 Let v(w) = -
{ "pile_set_name": "DM Mathematics" }
5 12 - (-12 + -10 + -1 + 15 + -4) 24 12 - (48 - -17 - -18) - (-1 + 4) -74 Evaluate -24 + 81 + (-11 + 5 + 11 - -1). 63 -15 + (3 - (-8 - -1 - (140 + -144) - -3)) -12 -1 + 37 + -1 + 0 - (-4253 + 4259) 29 Calculate (8 - (-82 - -8)) + -237 + 244. 89 132 + (66 + -55 - (8 + 2)) 133 What is the value of 114 - 46 - 6 - (2 + 49)? 11 What is the value of 11 - 137 - (-1654 - -1552)? -24 What is -24 + 23 - (-14 + (45 - 17))? -15 Calculate -71 - (6 + 1) - (6 - 20). -64 What is the value of (-94 - -33) + (-1 + 30 - 24)? -56 42 + -64 + -25 + 79 32 What is -1 + 70 - 2 - (6 + 19 + -2 + -12)? 56 (-58 - 36) + 4 + -14 + 7 + -7 -104 Calculate 42 + 6 + -58 + -6 + (0 - 1). -17 What is 24 + -9 + 12 - (9 - 12)? 30 What is the value of 15 + -75 + 28 + 80? 48 Calculate -1 + 0 - -23 - (-17 + 11 + 32 - 27). 23 Calculate 7 + -22 + 16 + 11 + 2 - 11. 3 What is the value of 27 + 85 + -177 + 43? -22 -21 + (-20 - -23) - (-9 + -7) -2 (415 - 404) + (-1 - (3 - 6) - (-67 - -2)) 78 Calculate -532 + 590 + (-85 - 3). -30 (8 + 10 + (6 - 21) - 10) + -2 + -22 -31 -13 + 7 + (1 - 5) + -3 - (-309 - -232) 64 Evaluate -28 + (12 - 27) + -1 + 15. -29 -130 + 23 - (-149 + 85) -43 Evaluate -36 + 71 - (102 - 52). -15 What is -71 + 4 + (27 - 90) + 34? -96 18 - (-24 + 38) - (-2 + -42 - -6) 42 What is -146 + 12 - (-13 - -20 - 8 - -11 - 12)? -132 Evaluate 6 + 1 - (-28 - ((47 - 28) + 9)). 63 Evaluate 1753 - 1761 - (-1 + -77 + 2). 68 Evaluate -43 - ((31 - 60) + -5). -9 Evaluate -88 + 0 - (169 + -55 + -79). -123 Evaluate -23 + 2 + 5766 + -5766. -21 What is the value of (129 - 268 - -103) + (-5 - 1)? -42 78 - (-5 + (-14 - -91)) 6 Calculate (-46 - -15) + -5 + 5 - (-19 + (4 - -4)). -20 What is -86 - ((2 - 4) + (26 - (13 - -2) - 9))? -86 -36 + 52 + -33 + 39 22 What is the value of -22 - 3 - (-30 - -29)? -24 What is the value of 27 + 0 + 109 + (-115 - 45)? -24 What is the value of (-96 - -103 - (1 + (11 - -1))) + -36 + -10? -52 Evaluate 8 + (-146 - -3) - (-169 + 125). -91 653 + -654 + (8 - 5 - -31) 33 Evaluate 53 + (-95 - -42) + -3 + (2 - -1) + 23. 23 Calculate 18 + -39 + 25 + -46. -42 What is 93 - (92 + 96 - -2)? -97 What is 3 + -25 + 0 - (-418 + 380)? 16 Evaluate (22 - (8 + (-8 - -26))) + (4 - 13). -13 5 + -6 - 12 - (0 - 22 - (-661 + 677)) 25 Evaluate 7 + -1 - (-59 - (-2 + 1) - (96 - 112)). 48 -21 + (-20 - -52 - 10) - (2 - 8) 7 What is the value of 5 + (53 - 22) + 21 - 3? 54 Calculate 18 + -13 + 2 + 7 + 5 - 69. -50 Calculate 17 + -5 + (-16 + 3 - -3) - 43. -41 What is -1 + (-2 - -49) - (7 - (13 + -3 - 13))? 36 What is -1 + (-2 - 11) + (28 - ((-9 - -13) + -16))? 26 What is (31 - -15 - 5) + 2 + 1 - (-107 + 101)? 50 Evaluate -5 + (18 + 23 - 48 - (2 + 29)). -43 47 - (43 + (4 - -37)) - -94 57 Evaluate 35 - (-136 + 182) - (1 + 0 + -64). 52 What is -28 + (2 - (3 - (-2 + (-1 - 7))))? -39 Evaluate 12 + (6 - ((15 - 9) + 23)). -11 Calculate -20 + 21 - (254 + -225). -28 Calculate (-3 - -1) + 7517 + -7536. -21 (2 - (-3 - -11)) + (-199 - (21 + -184)) -42 13 - 10 - (6 - (43 - 7 - 9)) 24 What is 8 + (53 - (-58 - -93))? 26 Calculate (-1 - 1) + (8 + 181 - (-332 + 389)). 130 What is -4193 + 4242 - (3 + (-29 - -1))? 74 Evaluate -3 + 77 + 1 - (1333 - 1306). 48 Calculate -59 - -6 - (-1124 + 1091). -20 What is the value of -1 + (46 - 56) - 20? -31 Calculate -1 + -21 + 85 + -84 + 17. -4 Calculate (-219 - (8 + -87)) + 29. -111 What is the value of -1 + (12 - 1) + -35 + (16 - -28)? 19 What is (8373 - 8342) + 1 + 44 + -2? 74 Evaluate (-17 - (-50 - 10)) + -45. -2 What is 7 + -66 + (10 - (-23 + 6 + 10))? -42 What is the value of 1110 - 1096 - (-5 - (20 - (-3 - -7)))? 35 Evaluate -70 - (-13 + 5 + 3 + -2 + -5). -58 Calculate -9 + (1 - 2 - (-349 - -370)). -31 What is the value of 70 + 2 - -3 - (0 - -10 - (2 + 3))? 70 Evaluate (-1 + (6 - 14) + 2 - (-25 - -8)) + -41. -31 Evaluate -1 + (7 - 1) + 219 + -231 + (-1 - -10). 2 Calculate 25 - (38 + 57 + -31). -39 What is -3115 - -3115 - (-2 - 90)? 92 Evaluate (15 - -6) + 20 + -23. 18 0 - (1 + -5 - (-67 + (-1 - -31))) -33 -49 - 2 - (283 - 297 - (-1 - (3 - -10))) -51 23 + -29 + (12 - 42) -36 -13 - (12 + (-16 - 0 - -10) - -4) -23 What is 18 - (-69 + (-11 + 7 - -21))? 70 What is 49 - 5 - -6 - 33? 17 What is the value of 8 - (-29 - ((-2 - 1) + (-10 - -19) + -10))? 33 -64 + 5 + 55 + -105 + 75 -34 Evaluate -30 - (-17 + (-36 - -22)) - (-1 - (2 - 0)). 4 What is the value of (35 - 18) + -4 - (6 + 3 + 3)? 1 What is the value of 7 + (8 - 2) + (-19 - (5 - (-3 + 18)))? 4 13 + (3 - (5 - (-4 - -11) - -8) - -3) 13 68 + -36 + -13 + -125 - -9 -97 What is 4 + (-7 - -23 - 37)? -17 Calculate (-13 + 22 + -5 + -2 - -9) + 5. 16 What is -6 - (9 + -8 + (-12 - (-7 + -27)))? -29 Calculate -11 - (-1 + 0) - (-46 - -24 - -55 - 90). 47 Evaluate -67 - 0 - (45 + 70 + -116). -66 What is the value of 80 + -90 + -20 + 60 - (10 - -1)? 19 What is 72 + (-276 - -178) - (3 + -1 + 9)? -37 6 - -21 - (-319 + 393) -47 182 + -122 + -29 + 8 + -4 35 637 - 674 - (0 + -37) 0 Evaluate 4 - 3 - -3 - (54 + 13 + -68). 5 What is the value of (-2 - 1 - -2) + (40 + -18 + 54 - -9)? 84 Calculate 2 + 11 + -3 + 54 + (-11 - 17) + 5. 41 Calculate 54 + 47 + -90 - -35. 46 Evaluate 1 + 7 + 0 + 4 + -10 + 7. 9 What is (0 + 15 - 14) + 366 + -217? 150 Evaluate -3 + -1 + (-2 - 1) + 13. 6 What is 45 - 1 - (12 + 0 + 594 + -618) - -11? 67 What is the value of 70 - ((9 - (-6 - -11)) + (149 - 146))? 63 14 + -6 + (49 - 29) + 1 + 16 45 What is the value of 27 + (47 - (116 + -37))? -5 13 + 5 + -20 - (-9 - 2) 9 Calculate (-2 - 65) + (6 - 0 - (-21 + 11)). -51 What is -21 - ((6 - 24) + 14) - (-1 + 15)? -31 Evaluate ((8 - (-8 + 14 + -1)) + 6 - 30) + -8. -29 What is the value of -8 + (1 - (1 + -4) - 9 - (1 - -35))? -49 Evaluate -5 + (7 - (-8 - -2)) + -41 - -5. -28 Evaluate -12 + (3 - -11) + 0 - (15 - 2). -11 What is -35 - -2 - (92 + 206 + -335)? 4 Calculate -8 + (84 - (1 + -12 - -21)) - -14. 80 Calculate -10 + 10 - -112 - (309 - 275). 78 Calculate 1 + -4 + 16 + -32 + -21. -40 What is (22 - 25) + -48 - -54 - (0 + -39)? 42 11503 + -11495 - (-101 - -1 - 0) 108 What is 46 + (-132 - (-21 + 43))? -108 What is -22 + 66 + -4 + -57? -17 What is -5 - (12 + (-13 - -12))? -16 Evaluate (-82 - 0) + -12 + 17 + 16. -61 What is the value of (0 - 11) + -6 + (15 - 2) + (29 - -7)? 32 Calculate 22 + 6 + -32 + 26 + -11. 11 Evaluate -15 - -1 - (23 - (130 + -2 + 0 + -19)). 72 What is the value of 8 - (2 + (-1 - 4)) - (14301 - 14154)? -136 24 + 2 + (-62 - -29) + 14 7 Calculate -65 + (35 - 102) + 136. 4 Calculate -9 + 96 + -30 - (1 - (-3 + 6 + -5)). 54 What is the value of 43 + (3 + (-8 - 5 - -23) - (24 - 2))? 34 What is the value of 17 + (12 - (33 + -22)) + -16 + -4? -2 What is 0 + (-1 - -2) - (-70 - -113 - 34) - -18? 10 Evaluate -1 + -2 + (-17 - ((0 - 7) + 7 - 1)). -19 What is the value of -36 - (8 - (-38 - -40))? -42 What is -9 + (-9 - (21 + -46) - 0)? 7 What is -25 - (-1304 + 1276 - (-1 + -116))? -114 What is the value of (1 + -16 - (93 - 97)) + 28? 17 219 + -169 + (1 - 53) + 8 6 Evaluate -5 + 14 + ((-3 - 10) + -3 - -100). 93 What is the value of (2 + -4 - -4) + 49 + 901 + -883? 69 Evaluate (-10 - 4) + -1 + 4 + 1. -10 Evaluate -3 + -37 - (690 - 729) - (5 - -1). -7 Calculate (50 - (12 - -24)) + (4 - 33). -15 What is the value of 7 - (23 - (6 - (1 - -4))) - 9 - -1? -23 11 + (4 - 11) + 6 - (47 - 57) 20 What is (-5 - 94) + 58 + -48 + 1 + 3? -85 -89 + 3 + 137 + -73 -22 What is the value of -12 + ((-16 - -8) + -5 + 6 + 9 - -58)? 48 What is 7 + 60 + (6 + 5 - (-13 + 13))? 78 Calculate -2253 - -2257 - (-1 - (4 - (-4 + 8)) - 110). 115 Evaluate 0 + (-142 - -182) + -178. -138 Evaluate -14 + (8 - 2) - -31 - (-127 + 152). -2 6 + 1 - -45 - (-26 + 5 - -35) 38 Evaluate -8 - (-3 - (-38 + 38) - (7 - 54)). -52 What is -17 + -57 + (-8 - (16 + -27)) + -6? -77 What is -73 - ((116 - 138) + -56)? 5 Evaluate 112 + 157 + -101 - 121. 47 What is (106 - 1) + (-5905 - -5826)? 26 0 - -10 - (1 + (3 - 27) + 24) 9 What is the value of -12 + 12 - (6 - (-51 + (9 - -8)))? -40 What is the value of 43 - (-5 - (-19 + -19) - 18)? 28 Evaluate (48 - -17 - 47) + -65 + 33. -14 40 + -40 + -23 + -5 + -23 -51 -58 - (22 - ((-11 - -57) + -8)) -42 Calculate (20 - 3) + 13 + (-77 - -103). 56 What is 38 + 5 - (-18 - -103)? -42 1 + 2 + -7 - (-17 + 8 - -2) 3 Calculate -1 + 0 + 34 + 111 + (59 - 168). 35 What is -12 - (-19 + 9 - ((70 - -1) + 22))? 91 Evaluate
{ "pile_set_name": "DM Mathematics" }